Answer:
Step-by-step explanation:
To find the 90% confidence interval for the difference in proportions, we can use the following formula:
CI = (p1 - p2) ± zα/2 * √( (p1 * (1-p1) / n1) + (p2 * (1-p2) / n2) )
where:
p1 and p2 are the sample proportions from the city and rural area, respectively
n1 and n2 are the sample sizes from the city and rural area, respectively
zα/2 is the critical value from the standard normal distribution for a 90% confidence level, which is 1.645
First, we need to calculate the sample proportions:
p1 = 112 / 272 = 0.4118
p2 = 53 / 105 = 0.5048
Next, we can plug in the values and calculate the confidence interval:
CI = (0.4118 - 0.5048) ± 1.645 * √( (0.4118 * (1-0.4118) / 272) + (0.5048 * (1-0.5048) / 105) )
CI = (-0.146, -0.031)
Therefore, the 90% confidence interval for the difference in proportions is (-0.146, -0.031). This means we are 90% confident that the true difference in proportions of religious people between the city and rural areas lies between -0.146 and -0.031. Since this interval does not include zero, we can conclude that the proportion of religious people is significantly different between the two areas.
Diameter(a) is 20 cm and diameter(b) is 5. What is the ratio of circumference(a) to circumference(b)?.
Answer:
5:1
Step-by-step explanation:
d_a = 20
d_b = 5
Equation for the circumference of a circle:
C = pi*d
C_a = pi * d_a
C_a = pi*20
C_b = pi * d_b
C_b = pi * 5
Ratio of C_a to C_b = C_a/C_b
C_a/C_b = (pi * 20)/(pi * 4) = 5:1
If point C lies on the line x = −1, what is the y-value of point C? (1 point) −2 −1 0 1
In a parallelogram ABCD, if point C lies on the line x = −1, then the y-value of C is option C: 0.
What is a parallelogram?
A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.
Since ABCD is a parallelogram, it is known know that opposite sides are parallel.
Therefore, the slope of side AB is the same as the slope of side CD, and the slope of side BC is the same as the slope of side AD.
The points B and C both lie on the line x = -1.
Therefore, the x-coordinate of point C is also -1.
Use the slope of side BC to find the y-coordinate of point C.
The slope of side BC can be found as -
slope of BC = (y-coordinate of C - y-coordinate of B) / (-1 - 1)
slope of BC = (y-coordinate of C - 2) / (-2)
Since side AD is parallel to side BC, it has the same slope.
The slope of side AD can be found as -
slope of AD = (y-coordinate of D - y-coordinate of A) / (-1 - 1)
slope of AD = (2 - 4) / (-2) = 1
Since the slopes of two parallel lines are equal so -
slope of AD = slope of BC
Therefore, equate the two slopes and solve for the y-coordinate of point C -
1 = (y-coordinate of C - 2) / (-2)
Multiplying both sides by -2 -
-2 = y-coordinate of C - 2
Adding 2 to both sides -
y-coordinate of C = 0
Therefore, the y-coordinate of point C is 0.
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Figure ABCD is a parallelogram. If point C lies on the line x = −1, what is the y-value of point C?
A number cube is rolled three times. An outcome is represented by a string of the sort oee (meaning an odd number on the first roll, an even number on the second roll, and even number on the third roll). The 8 outcomes are listed in the table below. Note that each outcome has the same probability.
Answer:16/10
Step-by-step explanation:
add 4/5+4/5=16/10
so the answer is 16/10
An open box is to be constructed from a square sheet of metal with dimensions x feet by x feet by removing a square of side 1 foot from each corner and turning up the edges. The volume V of the box is V(x) = (x - 2)2. Find the dimensions of the sheet metal needed to make a box that will hold 4 cubic feet by solving the equation V(x) = 4. The sheet metal should be a square with a side length of feet.
The dimension of the square metal sheet is x = 4 ft
What are dimensions?Dimensions are the measure of a physical property of an object such as length, width or height.
Since an open box is to be constructed from a square sheet of metal with dimensions x feet by x feet by removing a square of side 1 foot from each corner and turning up the edges.
The volume V of the box is V(x) = (x - 2)².
To find the dimensions of the sheet metal needed to make a box that will hold 4 cubic feet by solving the equation V(x) = 4, we make V(x) = 4 and solve the equation.
So, V(x) = (x - 2)².
(x - 2)² = 4
Taking square roots of both sides, we have that
√(x - 2)² = ±√4
x - 2 = ±2
x = 2 ± 2
x = 2 - 2 or x = 2 + 2
x = 0 or x = 4
Since the dimension cannot be 0, x = 4
So, the dimension of the sheet is x = 4 ft
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The table shows a linear relationship between the variables x and y. What is the slope?.
Answer: 0
Step-by-step explanation:
Y2 - Y1
________.
X2 - X1
A linear slope means that the Ys are the same and you can't divide by zero.
You have your points (8,7) and (3,7)
Use the template like I have above.
7 - 7
______
3 - 8
which equals....
0
__
-5
I hope that makes sense for you :)
A flagpole casts a 5 foot shadow while a nearby sign cast of 1 1/4 foot shadow. Find the height of the flag pole if the sign is 4 feet high.
Answer:
16Ft
Step-by-step explanation:
We can use proportions to solve this problem.
Let's let "x" be the height of the flagpole. We know that the sign is 4 feet high, and it casts a shadow of 1 1/4 feet. So we can set up the proportion:
4/1.25 = x/5
Simplifying the left side of the equation, we get:
4/1.25 = 16/5
Substituting into the original equation, we have:
16/5 = x/5
Multiplying both sides by 5, we get:
16 = x
Therefore, the height of the flagpole is 16 feet.
Se compra medio galón de leche para poder llenar biberones de 5 onzas
¿cuantos biberones se podrán llenar?
¿Cuantos mililitros tendrá cada biberón?
Answer:
Step-by-step explanation:
here is a step-by-step explanation:
Convert half a gallon of milk to liters. There are 3.785 liters in a gallon, so half a gallon is 1.892 liters.
Convert 5 ounces to liters. There are 0.147868 liters in 5 ounces.
Divide the total volume of milk (1.892 liters) by the volume of each bottle (0.147868 liters) to find out how many bottles can be filled completely:
1.892 liters / 0.147868 liters per bottle = 12.8 bottles
Note that the answer is not a whole number, which means there will be some leftover milk after 12 bottles are filled.
To find out how many milliliters are in each bottle, we can convert 5 fluid ounces to milliliters:
5 fluid ounces x 29.5735 milliliters per fluid ounce = 147.868 milliliters
Therefore, each bottle will contain approximately 147.868 milliliters of milk.
So, in summary, with half a gallon of milk, you can fill 12 bottles completely and each bottle will contain about 147.868 milliliters of milk.
The relation between the time spent walking and the time spent canoeing on a 30 mile
trip if you walk at 4 mph and canoe at 7 mph. Write a constraint equation,
determine two solutions, and graph the equation and mark your solutions.
The two solutions are (1, 1/7) and (3.36, 1)
Time spent walking and canoeing.Assume that you spend some time walking (t<sub>w</sub>) and some time canoeing (t<sub>c</sub>) to cover a 30-mile trip. We can use the following formula to relate the time spent walking and canoeing:
distance = speed × time
For the walking part of the trip, the distance covered is (30 - d), where d is the distance covered by canoeing. We know that the walking speed is 4 mph, so we can write:
(30 - d) = 4t<sub>w</sub>
For the canoeing part of the trip, the distance covered is d. We know that the canoeing speed is 7 mph, so we can write:
d = 7t<sub>c</sub>
We also know that the total time spent on the trip is:
t<sub>w</sub> + t<sub>c</sub>
So, the constraint equation is:
t<sub>w</sub> + t<sub>c</sub> = 30/4 + 30/7
Simplifying this equation, we get:
11t<sub>w</sub> - 7t<sub>c</sub> = 30
Now, to determine two solutions, we can arbitrarily assign a value to one of the variables and then solve for the other. Let's assume t<sub>w</sub> = 1, then we get:
11(1) - 7t<sub>c</sub> = 30
7t<sub>c</sub> = 1
t<sub>c</sub> = 1/7
So, one solution is t<sub>w</sub> = 1 and t<sub>c</sub> = 1/7.
Similarly, assuming t<sub>c</sub> = 1, we get:
11t<sub>w</sub> - 7(1) = 30
11t<sub>w</sub> = 37
t<sub>w</sub> = 3.36
So, another solution is t<sub>w</sub> = 3.36 and t<sub>c</sub> = 1.
To graph the equation, we can plot t<sub>w</sub> on the x-axis and t<sub>c</sub> on the y-axis, and then plot the line 11t<sub>w</sub> - 7t<sub>c</sub> = 30. The two solutions will be the points of intersection of the line with the axes.
The two solutions are (1, 1/7) and (3.36, 1).
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Questions 19 and 20 refer to the following information.
Every Saturday morning, three friends meet for breakfast at 9:00 AM. Andrea walks, Kellan bikes, and Joelle
drives.
19. Last Saturday, all three friends were exactly
on time. Andrea left her house at 8:30 AM and
walked at a rate of 3 miles per hour. Kellan
left his house at 8:15 AM and biked at a rate of
14 mph. Joelle left her house at 8:45 AM and
drove an average speed of 35 miles per hour.
How many miles from the restaurant does the
person who traveled the farthest live?
20. Kellan lives 12 miles away from Andrea. On
a different Saturday, Kellan biked at a rate of
15 miles per hour to Andrea's house. The two
then walked to the restaurant at a rate of
2.5 miles per hour, and they arrived five
minutes early. What time did Kellan leave his
house? Enter your answer as three digits and
ignore the colon. For example, if your answer
is 5:30 AM, enter 530.
0000000
Answer:
Question 19: The person who traveled the farthest lives 12 miles from the restaurant, which is the same distance as Kellan.
Question 20: Kellan would have left his house at 8:10 AM in order to arrive at Andrea's house at 8:30 AM and then walk to the restaurant with Andrea at a rate of 2.5 miles per hour, arriving at the restaurant at 8:50 AM, five minutes early. So the answer is 810.
Find an integer n so that the interval of the form [n, n+1] contains the solution to the equation x2+1x=1.
The integer is n = _____
(a) If f(x)=x2+1x−1
then f(n) = _____ and f(n+1) = _____
(b) The function f is continuous on the interval(s)
◯(−[infinity],[infinity])
◯(−[infinity],a)
◯(a,[infinity])
◯(−[infinity],a)∪(a,[infinity])
◯(−[infinity],b)∪(b,[infinity])
Choose the largest set possible and give the values for a and for b. Enter DNE in any empty blank.
a = _____
b = _____
The theorem that tells us that the solution must be in the interval [n, n+1] is that _____ (you must write out the full name, correctly spelled).
Answer:
Step-by-step explanation:
To find an integer n so that the interval of the form [n, n+1] contains the solution to the equation x^2 + 1/x = 1, we can first rewrite the equation as x^3 - x^2 + 1 = 0.
Next, we can use the Intermediate Value Theorem to find such an n. Since f(x) = x^3 - x^2 + 1 is a continuous function, if we can find two values of x, a and b, such that f(a) and f(b) have opposite signs, then there must exist a value of x between a and b for which f(x) = 0.
(a) Evaluating f(n) and f(n+1), we have:
f(n) = n^3 - n^2 + 1
f(n+1) = (n+1)^3 - (n+1)^2 + 1
(b) Since f(x) is a polynomial, it is continuous for all x, and so the largest possible interval on which f(x) is continuous is (-∞, ∞).
Thus, we want to find values a and b such that f(a) and f(b) have opposite signs. We can plot the function to get an idea of where the roots might be
|
| __
| / \
| / \
| ./ \.
| / \
| ./ \.
| / \
| ./ \.
| ./ \
| ./ \
|---------------------------------
a b
From the graph, it appears that there is a root between 0 and 1, and another root between -1 and 0. We can use this information to choose a and b. Since we want the largest possible interval, we can take a = -1 and b = 1, so that the interval is (-∞, ∞).
Thus, the integer n such that [n, n+1] contains a root of x^2 + 1/x = 1 is given by n = 0.
The theorem that tells us that the solution must be in the interval [n, n+1] is the Intermediate Value Theorem.
The integer 'n' that fits the solution of the equation x^2 + 1/x = 1 within the interval [n, n+1] is 0. Using n=0 for the function f(x) = x^2 + 1/x - 1 it is undefined, but for n+1, it equals 1. The function f is continuous for all x ≠ 0 which is represented by the interval (-∞, 0) ∪ (0, ∞). This conclusion is established by the Intermediate Value Theorem.
Explanation:The task involves solving the equation x2 + 1/x = 1 to find an integer 'n' such that the solution fits within the interval [n, n+1]. For this equation, rearranging to x2 - x + 1 = 0, we can use the quadratic formula to find x = (1±√(1-4))/2. This gives us two solutions x = 0.5 and x = -0.5.
However, only x=0.5 is found in the interval [0, 1], where n = 0.
For the function f(x) = x2 + 1/x - 1, at n = 0, the function is undefined. However, for f(n+1) it yields a value of 1.
The function f is continuous everywhere on its domain and the function is defined for all x ≠ 0, hence the function is continuous on the interval (-∞, 0) ∪ (0, ∞).
The theorem that ensures the solution is within the interval [n, n+1] is known as the Intermediate Value Theorem.
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100 POINTS PLEASE HELP WILL MARK BRAINLIEST
Answer:
When cash is received, it should be entered as a debit to the cash account, as the cash account is an asset account that reflects an increase in the company's assets. Therefore, the journal entry would be:
Date: Oct - 1
Account: Cash
Account Number: 1000
Debit: $8000
Credit: $0
Solve this system of equations by subsitution {y= 2x +3
3x + 2y = 12
What is the volume of this figure?
Answer: 186 cubic in
Step-by-step explanation:
An electrician fixed 4 bulbs in a room how many rooms can 216 bulbs be fixed by him
Answer:
216÷4=54
Step-by-step explanation:
we have to divide the bulb he fixed in per room by how many he fixes I guess so
Answer: He can fix in a total of 54 rooms which makes 216 bulbs fixed by him.
Step-by-step explanation:
4 bulbs are present in = 1 room
thus, 216 bulbs are present in = 216/4 = 54 rooms
So, he fixes 54 rooms in total
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Round to the closest whole number. 32% of the animals were males. If the herd had 112 animals how many were female?
Using arithmetic operations it is obtained that there were approximately 76 female animals in the herd.
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
If 32% of the animals were males, then 100% - 32% = 68% of the animals were female.
To find the number of female animals in the herd of 112 animals, multiply the total number of animals by the percentage that were female -
68% = 68/100 = 0.68
Number of female animals = 0.68 x 112
Number of female animals = 76.16
Rounding this to the closest whole number gives -
Number of female animals ≈ 76
Therefore, the number of female animals is 76.
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It’s urgent please someone help
Answer:
I ammm really sorry for the question
i don't know sorry
3. Select all the expressions that are
equivalent to 9 + 7x - 3y.
9 + 7x + 3y
• 9-7x- 3у
Г•9 - 7x + 3y
П 9+7x + (-3y)
П 9-(-7)x -3у
m
There are D. 9+7x+(-3y) and E. 9-(-7)x-3y that equivalent to the given expression 9 +7x-3y.
What are the equivalent expressions?Equivalent expressions are defined as mathematical statements that have containing identical variables or numbers.
The expression is given in the question, as follows:
9 + 7x - 3y
D. 9+7x+(-3y) is equivalent because the expression in the parentheses represents a negative value of 3y, so we can combine the 7x and the negative 3y terms to get 7x-3y, which when added to 9 gives the original expression of 9 +7x-3y.
E. 9-(-7)x-3y is equivalent because we can simply change the minus sign before the -7 to a plus sign, resulting in the original expression of 9 +7x-3y.
Thus, D. 9+7x+(-3y) and E. 9-(-7)x-3y are equivalent to the given expression 9 +7x-3y.
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The complete question would be as:
Select all the expressions that are equivalent to 9 +7x-3y.
A. 9+7x+3y
B. 9-7x-3y
C. 9-7x+3y
D. 9+7x+(-3y)
E. 9-(-7)x-3y
find the value of a in the number 6a subtract 4 a+ 5a=210
The value of "a" will be 30 for the given Algebraic expression.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Given, a algebraic expression 6a -4a +5a = 210
Simplifying the equation in terms of a
6a -4a +5a = 210
adding or subtracting the terms with the same variables
7a = 210
divide by 7 on both sides
a = 30
Therefore, the value of "a" will be 30 for the given Algebraic expression.
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Please help me!!!
Sharon factored the polynomial
x^2 + 81 as (x+9)(x-9)
using the difference of 2 squares method. Her teacher marked her andar wrong. Do you agree or disagree. Write a 1 sentence explaining why you agree or disagree with her teacher. You must write a sentence to earn a full credit.
Answer:
I agree with Sharon's teacher and I believe that the factoring of x^2 + 81 as (x+9)(x-9) is incorrect because the difference of two squares method can only be used to factor polynomials of the form x^2 - a^2, and not x^2 + a^2.
Step-by-step explanation:
The correct answer is x^2 + 81 can be factored as (x + 9)(x + 9) using the trinomial method.
is this problem a one solution,no solution or all real numbers
The equation is true for all real numbers, and therefore the solution set is (C) all real numbers.
What is the solution to the equation?In arithmetic, a solution to the equation expresses can be replaced for the variable to provide a piece of real number information.
We can start simplifying the equation using the distributive property:
4(6x - 4) = 8(3x - 2)
24x - 16 = 24x - 16
We can see that both sides of the equation are identical, so the equation is an identity. This means that the equation is true for all real numbers, and therefore the solution set is all real numbers.
In other words, any value we choose for x will make the equation true.
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The complete question would be as:
How many solutions have the below equation?
4(6x - 4) = 8(3x - 2)
A. one solution.
B. no solution.
C. all real numbers.
Follow these steps to graph this parabola:
y = x
Plot the y-intercept
2
1. Find/Plot the vertex
2.
3. Find/plot one more point
4. Reflect #2 and #3 over the axis of symmetry
-10-9-8-7 -6 -5 -4 -3 -2
7
10
9
8
7
6
54
3
2
1
0 1 2 3 4 5 6 7 8 9 10
-1
2
4x + 4
-3
-4
-5
-6
-7
-8
-9
X
Please find attached the graph of the parabola, y = x² - 4·x + 4, created with MS Excel, showing the points;
The vertex, (2, 0)Y-intercept; (0, 4)One more point; (1, 1)What is a parabola?A parabola is the locus of a point that moves such that its distance from a point (known as the focus) and a line (known as the directrix), are the same.
1. The quadratic function is; y = x² - 4·x + 4
The x-coordinates of the vertex of the quadratic function, f(x) = a·x² + b·x + c, can be found using the formula;
x = -b/(2·a)
The x-coordinates of the graph of the equation, y = x² - 4·x + 4, is the point;
x = -(-4)/(2 × 1) = 2
The y-value of the vertex is therefore;
y = 2² - 4 × 2 + 4 = 0
The coordinates of the vertex is therefore; (2, 0)
2. The y-intercept is the point the graph intersects the y-axis, which is the point the x-value is zero, therefore;
The coordinate of the y-value of the y-intercept is therefore;
y = 0² - 4 × 0 + 4 = 4
The y-intercept is therefore; (0, 4)
3. A point on a function can be plugging a value of the input as follows;
The point at x = 1 is; y = 1² - 4×1 + 4 = 1
Therefore, another point on the graph is; (1, 1)
4. The axis of symmetry is the vertical line passing through the vertex, with an equation which is the x-value of the vertex
The x-value of the vertex is; x = 2, therefore, the axis of symmetry is the line; x = 2
The reflection of a point (x, y) about the vertical y-axis is the point (-x, y)
Therefore, the image of the reflection of the y-intercept, (0, 4) about the line x = 2 will be the point (4, 4)
The reflection of the point (1, 1), about the line x = 2 is the point (3, 1)
The above points can be used to graph the parabola, y = x² - 4·x + 4.
Please find attached the graph of the parabola created with MS Excel.
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If you make an initial deposit of $1000 in an account that yields 5% interest
Semi-annually
Find your balance at the end of a year.
Show your work !
The balance at the end of a year is $1051.56.
Describe Compound Interest?To find the balance at the end of a year, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = the balance after t years
P = the principal (initial deposit)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case, P = $1000, r = 0.05, n = 2 (since the interest is compounded semi-annually), and t = 1. Plugging these values into the formula, we get:
A = $1000(1 + 0.05/2)^(2*1)
= $1000(1.025)^2
= $1051.56
Therefore, the balance at the end of a year is $1051.56.
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sorry about me mass uploading questions
im retaking a 25 question mid year test
Answer:
Step-by-step explanation:
o divide 6029 by 28, we can use long division:
215
---------
28 | 6029
56
---
182
168
---
144
140
---
4
So 6029 divided by 28 is 215 with a remainder of 4. Therefore, the answer to the problem is:
6029/28 = 215 R 4
X-y=4
Work out the value of 3(x-y)
The value of the expression 3 (x - y) is 12
How to determine the value of the expressionFrom the question, we have the following parameters that can be used in our computation:
x - y = 4
Multiply both sides of the equation by 3
So, we have the following representation
3 * (x - y) = 4 * 3
Evaluate the products
This gives
3 (x - y) = 12
Hence, the soluton of 3 (x - y) is 12
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Jamal paints sceneries on canvas and sells them at art auctions. A large painting sells for $45.99 and a small one for $28.99. In six months he sold seven large paintings and four small ones. Calculate how much money Jamal made in six months.
Answer:
Step-by-step explanation: To calculate the total amount of money Jamal made in six months, we need to multiply the number of paintings sold by the price of each painting, and then add the results for the large and small paintings:
7 large paintings * $45.99/large painting = $321.93
4 small paintings * $28.99/small painting = $115.96
Total amount made = $321.93 + $115.96 = $437.89
Therefore, Jamal made $437.89 in six months by selling seven large paintings and four small ones.
I can’t get this right!!!!
Answer:
[tex]\csc \theta=\dfrac{\sqrt{61}}{6}[/tex]
[tex]\sin \theta=\dfrac{6}{\sqrt{61}}=\dfrac{6\sqrt{61}}{61}[/tex]
[tex]\cot \theta=\dfrac{5}{6}[/tex]
Step-by-step explanation:
Use Pythagoras Theorem to calculate the length of the hypotenuse of the given right triangle:
[tex]\implies a^2+b^2=c^2[/tex]
[tex]\implies 5^2+6^2=c^2[/tex]
[tex]\implies 25+36=c^2[/tex]
[tex]\implies c^2=61[/tex]
[tex]\implies c=\sqrt{61}[/tex]
Therefore:
The side opposite angle θ is 6 units.The side adjacent angle θ is 5 units.The hypotenuse is √(61) units.[tex]\boxed{\begin{minipage}{8cm}\underline{Trigonometric ratios}\\\\$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$\\\\\\$\sf\csc(\theta)=\dfrac{H}{O}\quad\sec(\theta)=\dfrac{H}{A}\quad\cot(\theta)=\dfrac{A}{O}$\\\\where:\\\phantom{ww}$\bullet$ $\theta$ is the angle.\\\phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle.\\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse.\\\end{minipage}}[/tex]
Substitute the given values into each ratio:
[tex]\csc \theta=\dfrac{\sqrt{61}}{6}[/tex]
[tex]\sin \theta=\dfrac{6}{\sqrt{61}}[/tex]
[tex]\cot \theta=\dfrac{5}{6}[/tex]
Note: The sin θ ratio can also be written as:
[tex]\implies \sin \theta=\dfrac{6}{\sqrt{61}}\cdot \dfrac{\sqrt{61}}{\sqrt{61}}[/tex]
[tex]\implies \sin \theta=\dfrac{6\sqrt{61}}{61}[/tex]
Can someone check my wrong answers for me. Greatly appreciated.
1.) Skewed left
2.) a. z-score = 0.54
b. z-score = 0.77
c. z-score = -0.77
3.) a. z-score = 1.24
b. Large Chain
c. Local Brewery
4.) a. The middle 95% of six-packs at the local brewery will have an average fill between 327.50 ml and 329.70 ml.
b. The middle 95% of six-packs at the large chain will have an average fill between 327.75 ml and 328.25 ml.
What is the z-score?
In statistics, the z-score, also known as the standard score, is a measure of how many standard deviations an observation or data point is above or below the mean of the data set.
1.)
Skewed Left, since the possible values are clustered towards the upper limit of 330 ml, and it is impossible to fill the bottle with more than 330 ml.
2.)
a. z-score = (328.6 - 328.3) / 0.9 * √6 = 0.54
b. z-score = (328.6 - 328.3) / 0.9 * √12 = 0.77
c. z-score = (327.9 - 328.3) / 0.9 * √1 = -0.77
3.)
a. z-score = (328.6 - 328) / 0.7 * √6 = 1.24
b. Large Chain, since the z-score for the large chain is higher, indicating a larger average fill for the bottles in the six-pack.
c. Local Brewery, since the z-score for the local brewery is lower, indicating a smaller average fill for the bottles in the twelve-pack.
4.)
a. The middle 95% of six-packs at the local brewery will have an average fill between 327.50 ml and 329.70 ml.
b. The middle 95% of six-packs at the large chain will have an average fill between 327.75 ml and 328.25 ml.
Hence,
1.) Skewed left
2.) a. z-score = 0.54
b. z-score = 0.77
c. z-score = -0.77
3.) a. z-score = 1.24
b. Large Chain
c. Local Brewery
4.) a. The middle 95% of six-packs at the local brewery will have an average fill between 327.50 ml and 329.70 ml.
b. The middle 95% of six-packs at the large chain will have an average fill between 327.75 ml and 328.25 ml.
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Please heeelp i have 30 minutes
The mathematical model that can be used to express the verbal statement of the proportional relationships are;
10. y = k/x²
11. P = k/V
12. P = k·V·I
What are proportional relationships?A proportional relationship is one in which the output variable is a multiple of the input variable and a constant (the constant of proportionality).
10. The verbal statement is; y varies inversely as the square of x
The inverse relationship indicates that a variable is related to the reciprocal of the other variable, therefore;
The mathematical model for the statement can be presented as follows;
y ∝ 1/x²
The constant of proportionality k can therefore be applied as follows;
y = k/x²11. The verbal statement is; For a constant temperature, the pressure P of a gas is inversely proportional to the volume V of the gas
The mathematical model of the proportional relationship is; P ∝ 1/V
Therefore;
P = k/V
12. The verbal statement is; The electric power P of a direct current circuit is jointly proportional to the voltage V and the electric current I
The mathematical model is therefore;
P ∝ V·I
Therefore;
P = k·V·ILearn more on proportional relationships here: https://brainly.com/question/2463343
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How much more interest to your parents have to pay at the end of the first month because their rating is good rather than excellent?
The interest to pay at the end of the first month C. $18.71.
How to find the monthly interest?To calculate the monthly interest rate, divide the annual percentage rate by 12. For excellent credit, the monthly rate is 4.75% / 12 = 0.3958%, and for good credit, the monthly rate is 5.00% / 12 = 0.4167%.
The total cost of the mobile home including sales tax is $92,738 ($89,000 x 4.2% sales tax). With a $3,000 down payment, the amount financed is $89,738.
For excellent credit, the monthly interest rate :
= 4.75% / 12
So, the interest charged in the first month is $89,738 x 4.75% / 12 = $355.21
For good credit, the monthly interest rate is 0.4167%. So, the interest charged in the first month is $89,738 x 0.004167 = $33.91.
The difference in interest charged between good and excellent credit is $373.91 - $355.21 = $18.71.
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The complete question is:
Your parents are purchasing a mobile home for $89,000. The sales tax is 4.2%, they make a $3,000 down payment. How much more interest do your parents have to pay at the end of the first month because their rating is good rather than excellent?
Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40
Options:
$29.39
$21.10
$18.71
$19.02
What is a placebo? Describe the placebo effect and how it can make experiments difficult to interpret. How can making an experiment single-blind or double-blind help?
What is a placebo?
A. A placebo refers to a specific member of a sample from which data are collected.
B. A placebo refers to any problem in the design or conduct of a statistical study that tends to favor certain results.
C. A placebo refers to a situation in which a patient improves simply because they believe they are receiving a useful treatment.
D. A placebo lacks the active ingredients of a treatment being tested in a study, but is identical in appearance to the treatment.
The placebo effect refers to an experiment where neither the participants nor the experimenters know who belongs to the treatment group and who belongs to the control group. As a result, it is impossible for the experiments to link certain effects to certain patients, which make the results difficult to interpret.
What is the placebo effect is an experimental study refers to the?
The placebo effect is a phenomenon where people report real improvement after taking a fake or nonexistent treatment, called a placebo. Because the placebo can't actually cure any condition, any beneficial effects reported are due to a person's belief or expectation that their condition is being treated.
Hence , The placebo effect refers to an experiment where neither the participants nor the experimenters know who belongs to the treatment group and who belongs to the control group. As a result, it is impossible for the experiments to link certain effects to certain patients, which make the results difficult to interpret.
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C. A placebo refers to a situation in which a patient improves simply because they believe they are receiving a useful treatment.
