As per weight measurement, half cup of butter is equal to 113 grams or eight tablespoons of butter. In ounces it is actually 4oz.
An object's weight serves as a gauge for its weight. Weight is expressed in common units of measurement. The weight of an object can be measured with tools using the gram and kilogram. The metric system that is universally accepted as a reference for measurements is called the International System of Units. The kilogram is the SI unit for mass or weight.
A common unit of measurement for cooking volume is the cup, which is used to determine serving and cooking sizes. Normal conversion: 1 cup = 8 liquid ounces = 1/2 pint. 16 fluid ounces divided by 2 cups equals one pint. 4 cups are equivalent to 32 fluid ounces, 2 pints, and 1 quart. 8 cups equal 64 fluid ounces, or 4 pints.
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Solve this system of equations using any method.
y=5x + 4
y = 6x + 1
Question 6 options:
(3,19)
(5,-4)
(-3,-6)
(3,4)
The solution to the system of equation y = 5x + 4 and y = 6x + 1 is (3,19).
What is the solution to the system of equation?Given the system of equation in the question;
y = 5x + 4
y = 6x + 1
To solve the system of equation, first plug equation one into equation two and solve for x.
y = 6x + 1
Plug in y = 5x + 4
5x + 4 = 6x + 1
Solve for x
6x - 5x = 4 - 1
x = 3
Now, plug x = 3 into equation one and solve for y.
y = 5x + 4
Plug in x = 3
y = 5( 3 ) + 4
y = 15 + 4
y = 19
Therefore, the value of x is 3 and y is 19.
Option A) (3,19) is the correct answer.
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List two ways an individual can improve his or her credit score.
Two ways an individual can improve his or her credit score is,
Pay bills on time and Ask for higher credit limits
What is a credit score?Three-digit credit scores are used to determine how risky it would be for a lender to give credit to a certain individual.
Ask to be added as an authorized user if a family member or acquaintance has a credit card account with a large credit limit and a solid track record of on-time payments.
The credit limit on the account can help your utilization because it is added to your credit reports.
If you make late payments, no credit improvement plan will work.
Even worse, missed payments may appear on your credit records for up to 7 1/2 years.
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how long is 38 inches in feet
Answer:
3.16666667
Step-by-step explanation:
convert in a calculator online
inches to feet
Find the measure of the central angle of the sector that represents 64% of a circle graph. Round to the nearest degree if necessary. Show your work!!!!
Answer:
To find the central angle of the sector that represents 64% of a circle graph, we can use the proportion:
64% (or 0.64) of the circle is to 360 degrees as x (the central angle of the sector) is to the angle we're trying to find.
Mathematically, we can write:
0.64/1 = x/360
Simplifying this expression, we get:
x = 0.64 x 360/1
x = 230.4
So the central angle of the sector that represents 64% of the circle graph is approximately 230.4 degrees. Rounded to the nearest degree, this is 230 degrees.
Step-by-step explanation:
Given f(2) = 12, which of the following could be an equation of the function?
A.
f(x) = 8x – 2
B.
f(x) = 4x + 4
C.
f(x) = 6x – 4
D.
f(x) = –4x – 4
Substituting x = 2 in each function, we get:
A. f(x) = 8x – 2 --> f(2) = 8(2) - 2 = 14 (not a match)
B. f(x) = 4x + 4 --> f(2) = 4(2) + 4 = 12 (a match)
C. f(x) = 6x – 4 --> f(2) = 6(2) - 4 = 8 (not a match)
D. f(x) = –4x – 4 --> f(2) = -4(2) - 4 = -12 (not a match)
Therefore, the equation of the function could be f(x) = 4x + 4 (option B).
Olivia makes and sells bracelets and necklaces. She can make up to 60 pieces per week, but she can only make up to 40 bracelets and 40 necklaces. Write and graph a system of inequalities that shows the combination of bracelets and necklaces that she can make if she wants to sell at least 30 items per week. If necklaces sell for $80 each and bracelets sell for $5 each, what is the most amount of money she can make in a week?
We wrote a system of inequalities, identified the graph and found that the maximum money made in a week as $3300.
What is meant by inequalities?
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
Let x be the number of bracelets and y be the number of necklaces.
Given Olivia can make up to 60 pieces per week.
So the inequality is: x + y ≤ 60
She can make less than or equal to 40 bracelets.
So the inequality is : x ≤ 40
She can make less than or equal to 40 necklaces as well in a week.
So the inequality is : y ≤ 40
She wants to sell at least 30 items per week.
x + y ≥ 30
x+y ≤60 can be written as
We can draw the inequalities as shown below.
x + y ≤ 60 as red
x ≤ 40 as green
y ≤ 40 as violet
x + y ≥ 30 as blue
The overlapping region of all inequalities is yellow.
The money made per week: 5x + 80y
We have to find the maximum money made.
The vertices of the yellow region are:
(0,30),(0,40),(30,0),(40,0),(20,40),(40,20)
The coordinates with negative values are neglected.
From this, 5*20 + 80 * 40 = $3300 is the maximum amount.
Therefore we wrote a system of inequalities, identified the graph and found that the maximum money made in a week as $3300.
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Cindy used 2 1/2 oranges to make 1/2 cup of orange juice how many oranges will she need to make 7 cups of orange juice
To find out how many oranges Cindy needs to make 7 cups of orange juice, we can use ratios and proportions.
First, let's find out how many oranges she needs to make 1 cup of orange juice:
2 1/2 oranges make 1/2 cup of orange juice
To make 1 cup of orange juice, she needs twice as many oranges: 2 1/2 * 2 = 5 oranges
So, Cindy needs 5 oranges to make 1 cup of orange juice.
Next, let's use this information to find out how many oranges she needs to make 7 cups of orange juice:
1 cup of orange juice requires 5 oranges
To make 7 cups of orange juice, she needs 7 times as many oranges: 5 * 7 = 35 oranges
Therefore, Cindy needs 35 oranges to make 7 cups of orange juice.
If Cindy used 2 1/2 oranges to make 1/2 cup of orange juice, Cindy will need 35 oranges to make 7 cups of orange juice.
To find out how many oranges Cindy will need to make 7 cups of orange juice, we can set up a proportion based on the information given.
First, we need to determine the ratio of oranges to orange juice. According to the given information, Cindy used 2 1/2 oranges to make 1/2 cup of orange juice. We can represent this as 2.5 oranges per 0.5 cups of juice.
To find the number of oranges needed for 7 cups of juice, we can set up a proportion:
2.5 oranges / 0.5 cups = x oranges / 7 cups
Now we can cross-multiply and solve for x:
(2.5 oranges) * (7 cups) = (0.5 cups) * (x oranges)
17.5 oranges = 0.5x
Divide both sides by 0.5:
17.5 / 0.5 = x
x = 35
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what is 6 trig functions?
The six trigonometric functions are mathematical functions used in geometry and trigonometry to describe the relationships between angles and sides of triangles.
The six trigonometric functions are:
Sine (sin): The sine of an angle is the ratio of the length of the side opposite the angle to the length of the hypotenuse of a right triangle.
Cosine (cos): The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse of a right triangle.
Tangent (tan): The tangent of an angle is the ratio of the length of the side opposite the angle to the length of the adjacent side of a right triangle.
Cotangent (cot): The cotangent of an angle is the ratio of the length of the adjacent side to the length of the side opposite the angle of a right triangle.
Secant (sec): The secant of an angle is the reciprocal of the cosine of the angle, or the ratio of the hypotenuse to the adjacent side of a right triangle.
Cosecant (csc): The cosecant of an angle is the reciprocal of the sine of the angle, or the ratio of the hypotenuse to the opposite side of a right triangle.
The six trigonometric functions can be used to solve various problems in mathematics, physics, and engineering, among other fields.
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what is the z formula
In mathematics, Z means complex number and it is represented as (a+ib) where a is real part and b is the imaginary part.
In mathematics, the number are represented by using some certain notations, like N for all natural number, Z for all complex numbers, R for all real numbers.
Now, here the formula of Z is asked, Z is a combination of two number
Z = a+ib
Where, a is real part, b is the imaginary part and "i" is called the notation Iota that is used with the imaginary part to represent the imaginary part.
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Could use some help
The quadrilateral FGHI is a parallelogram
How to complete the blanksFrom the question, we have the following parameters that can be used in our computation:
F = (0, -6), G = (7, -4), H = (8, 4), I = (1, 2)
The lengths can be calculated as
Lengths = √[(x₂ - x₁)² + (y₂ - y₁)²]
Using the above as a guide, we have the following:
FG = √[(0 - 7)² + (-6 + 4)²] = √53
GH = √[(8 - 7)² + (4 + 4)²] = √65
HI = √[(8 - 1)² + (4 - 2)²] = √53
IF = √[(1 - 0)² + (2 + 6)²] = √65
For the slopes, we have
Slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
FG = (-6 + 4)/(0 - 7) = 2/7
GH = (4 + 4)/(8 - 7) = 8
HI = (4 - 2)/(8 - 1) = 2/7
IF = (2 + 6)/(1 - 0) = 8
Based on the above computations, we have
Opposite sides are equalOpposite sides are parallelHence, the shape is a parallelogram
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A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 30 times, and the man is asked to predict the outcome in advance. He gets 22 out of 30 correct. What is the probability that he would have done at least this well if he had no ESP?
the probability that the man would have done at least as well as 22 out of 30 correct predictions by chance alone is approximately 0.149 or 14.9%, which suggests that his ESP claim may not be supported by the coin flip test results alone.
To determine the probability that the man would have gotten at least 22 correct coin flip predictions if he had no ESP, we can use a statistical tool called a binomial distribution. Assuming the coin is fair, the probability of getting any single coin flip prediction correct is 0.5, since there are only two possible outcomes (heads or tails) and they are equally likely. We can use this probability to calculate the probability of getting exactly 22 correct predictions out of 30 coin flips, which is:
P(X = 22) = (30 choose 22) {multiply} 0.5^22 {multiply} 0.5{power}8 = 0.099
This means that the probability of getting exactly 22 correct predictions by chance is less than 10%. However, the question asks for the probability of getting at least 22 correct predictions, which includes the probabilities of getting 23, 24, 25, 26, 27, 28, 29, or 30 correct predictions as well.
To calculate this cumulative probability, we can add up the probabilities of getting each of these outcomes separately:
P(X >= 22) = P(X = 22) + P(X = 23) + ... + P(X = 30)
Using a binomial distribution table or calculator, we can find that this cumulative probability is approximately 0.149.
Therefore, the probability that the man would have done at least as well as 22 out of 30 correct predictions by chance alone is approximately 0.149 or 14.9%, which suggests that his ESP claim may not be supported by the coin flip test results alone.
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what is 32.32 x 2.1 6th grade math
Answer:
67.872
Step-by-step explanation:
What’s the answer? I gotta do it before I make bad grade
How much would it cost to drive one mile based on the cos t of gas and the range of each vehicle?
The amount of money that will be used to drive only one mile by the different vehicles given above such as Deswagon and DesMobile would be =$57.35 and $56.78 respectively.
How to calculate the amount of money used by each vehicles?The total mileage that can be covered by Deswagon = 490miles.
The total cost of gas for the Deswagon = $28,100
Therefore the amount that will be paid for only one mile = X.
That is , 490 miles = $28,100
1 mile = ×
make X the subject of formula;
X = 28,100/490
= $57.35.
The total mileage that can be covered by DesMobile = 575miles.
The total cost of gas for the DesMobile = $32,650.
Therefore the amount that will be paid for only one mile = X.
That, 575 miles = $32,650
1 mile = X
Make X the subject of formula;
X = 32,650/575
X = $56.78.
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how to convert 20 kg to pounds?
20 kg is approximately equal to 44.0925 pounds ( rounded to four decimal places )
The conversion factor to convert kg to pounds is 2.20462
1 kg = 2.20462 pounds
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
The mass in pounds = The mass in kg × conversion factor
Substitute the values in the equation
1 kg = 2.20462 pounds
20 kg = 20 × 2.20462
Multiply the numbers
= 44.0925 pounds ( rounded to four decimal places )
Therefore, 20 kg is 44.0925 pounds
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how to calculate algebra math online?
The algebra math can be calculated in online by using online calculators, educational websites and mobile apps etc.
There are many online resources available that can help you calculate algebra math problems. Here are a few options:
Online calculators: You can use various online calculators to calculate algebra problems.
Educational websites: There are many educational websites that provide lessons and tutorials on algebra.
Mobile apps: There are many mobile apps available that can help you solve algebra problems on-the-go.
Online courses: There are many online courses available that can teach you algebra from the basics to the advanced level.
Whichever option you choose, it's important to make sure that you understand the steps involved in solving algebra problems so that you can apply the principles to new problems in the future.
Therefore, the different different methods to calculate algebra online has been explained
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What is calculator vertex form of a parabola online?
The vertex form of a parabola is y = a(x - h)² + k , where: a — Same as the a coefficient in the standard form; h — x-coordinate of the parabola vertex; and. k — y-coordinate of the parabola vertex.
The extremal value of a quadratic curve is represented by the vertex of a parabola, which is a point. The quadratic portion is still valid because two is our variable's most important power (x). For a parabola to open up, the vertex can either be a minimum or a maximum (for a parabola opening down).
As an alternative, we might state that the parabola's vertex is where its symmetry axis meets it.
The vertex is typically represented by the point P(h,k), where h stands for the x-coordinate and k for the y-coordinate.
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what is online calculator system of equation
Online calculator system of equation is an open-source online calculator that shows the value of the variable for the specified set of equations.
The collection or set of equations is referred to as a system of equations in mathematics. The variables in the equations can have their answers found by solving the corresponding equations. We are aware that variables, constants, coefficients, and exponents make up an algebraic equation. There are three different kinds of systems of equations that can be seen when working with a system of linear equations. As follows:
a dependent system with countless possible outcomesa unique system with a single solutionan unreliable system with no fixLearn more about system of equation:
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The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.
The length of side x in simplest radical form with a rational denominator is [tex]\sqrt{3} /2[/tex].
What is the equilateral triangle?
In an equilateral triangle, all sides are equal in length.
That means that all the angles of the triangle will be congruent.
Since a triangle has 3 angles that always add up to 180 degrees, each angle is 60 degrees.
Therefore, the hypotenuse of the equilateral triangle is 1.
So,
[tex]x = 1 * sin60[/tex]°
[tex]x = 1 * \sqrt{3} /2\\x = \sqrt{3} /2[/tex]
Hence, The length of side x in simplest radical form with a rational denominator is [tex]\sqrt{3} /2[/tex].
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Hannah is getting balloons for her father's birthday party. She wants each balloon strain to be 12 ft long. At the party store string is sold by the yard. If Hannah wants to get 48 balloons how many yards of string was she need.
Explanation:
1 balloon needs 12 ft of string.
48 balloons need 48*12 = 576 ft of string.
Divide by 3 to convert from feet to yards. This is because 1 yard = 3 ft.
576 ft = 576/3 = 192 yards
4. The Friendsville Zoo builds a new rectangular
prairie-dog enclosure using 65 yards of
fencing. Two sides of the enclosure use a
total of 41.50 yards of fencing. Determine
the length of the other 2 equal
sides.
Answer:120
Step-by-step explanation:
Answer:
The length of the other two equal sides is 11.75 yards.
Step-by-step explanation:
Let's call the length of the two equal sides of the rectangular enclosure "x". We know that the total amount of fencing used is 65 yards and that two sides already use 41.50 yards of fencing.
So, we can set up the equation:
2x + 41.50 = 65
To solve for x, we first need to isolate x on one side of the equation. We can start by subtracting 41.50 from both sides:
2x = 23.50
Then, we can divide both sides by 2 to solve for x:
x = 11.75
Therefore, the length of the other two equal sides is 11.75 yards.
Given l∥m∥n, find the value of x.
Answer:
x = 61
Step-by-step explanation:
[tex]x + 119 = 180[/tex]
[tex]x = 180 - 119[/tex]
[tex]x = 61[/tex]
Answer:
x = 61
Step-by-step explanation:
the state department of transportation recorded the number of passengers (other than the driver) in each car that passed through a toll booth during the morning commute over a period of several weeks, and found that the average number of non-driver passengers was 0.52. find the probability that a randomly selected car passing through the toll booth during the morning commute has 4 occupants (the driver and 3 passengers). use a ti-83, ti-83 plus, or ti-84 calculator to find the probability. round your answer to three decimal places.
Using Poisson distribution, the probability mass function is approximately 4.2%
What is the probability that a randomly selected car passing through the toll booth during the morning commute has 4 occupantsTo solve the problem, we can use the Poisson distribution since we are interested in the probability of a certain number of events (in this case, cars with 4 occupants) occurring in a given time period (morning commute).
The Poisson probability mass function is given by:
P(X = k) = (e^(-λ) * λ^k) / k!
where X is the random variable (number of cars with 4 occupants), λ is the mean (average) number of occurrences in the given time period (morning commute), and k is the number of occurrences we are interested in (k = 4 in this case).
Since the average number of non-driver passengers per car is 0.52, we can assume that the average number of total occupants (including the driver) is 1.52. Therefore, the mean (average) number of cars with 4 occupants in a given time period can be calculated as:
λ = (1.52)^4 * e^(-1.52) / 4!
Using a calculator, we get λ ≈ 0.0331.
Now we can plug in the values of λ and k into the Poisson probability mass function:
P(X = 4) = (e^(-0.0331) * (0.0331)^4) / 4!
Using a calculator, we get P(X = 4) ≈ 0.042
Therefore, the probability that a randomly selected car passing through the toll booth during the morning commute has 4 occupants (the driver and 3 passengers) is approximately 0.042 or 4.2%.
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Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. a chessboard has 64 squares. george places 1 grain of rice on the first square, 2 grains on the second square, 4 grains on the third square, 8 grains on the fourth square, and so on, until he has placed grains of rice on 10 squares. once george has put rice on the 10th square, he has placed a total of____grains of rice on the chess board.
George has put rice on the 10th square, he has placed a total of 1,023 grains of rice on the chessboard.
What is geometric progression ?
A geometric progression, also known as a geometric sequence, is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed number called the common ratio.
The general form of a geometric progression is:
[tex]a, ar, ar^2, ar^3, ...[/tex]
where:
a is the first term of the sequence
r is the common ratio between successive terms
Given by the question:
To find the total number of grains on the first 10 squares, we can use the formula for the sum of a geometric series, which is:
[tex]sum = a(1 - r^n) / (1 - r)[/tex]
where:
a is the first term (in this case, 1)
r is the common ratio (in this case, 2)
n is the number of terms (in this case, 10)
Using this formula, we can calculate the sum of the grains of rice on the first 10 squares as:
[tex]sum = 1(1 - 2^10) / (1 - 2)[/tex]
[tex]sum = 1(1 - 1024) / (-1)[/tex]
[tex]sum = 1023[/tex]
Therefore, once George has put rice on the 10th square, he has placed a total of 1,023 grains of rice on the chessboard.
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Please help me with dis math work
Suav deposits $450 every quarter into an account earning a quarterly interest rate of 2.225%. How much would he have in the account after 10 years, to the nearest dollar?
Suav deposits $450 every quarter into an account earning a quarterly interest rate of 2.225%. After 10 years, he would have $7,395 in the account to the nearest dollar.
The formula for calculating the future value (FV) of an investment is: FV = PV(1 + r/n)nt, where PV is the present value, r is the interest rate per period, n is the number of compounding periods per year, and t is the number of years.
In this problem, PV is $450, r is 2.225%, n is 4 (quarters in a year), and t is 10 years. Plugging these values into the formula gives us:
FV = 450(1 + 0.02225/4)4*10 = 450(1.0055625)40 = 450(2.7326) = $7,395
Therefore, after 10 years, Suav would have $7,395 in the account to the nearest dollar.
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HELP ME IM GONNA FAIL SCHOOL IF I DONT GET THIS RIGHT
1.Two adjacent angles form a resulting angle of 135°. ∠1=(2x)° and ∠2=(2x+7)°. What are the two unknown angles
∠1= _ ∠2=_
2. A figure displays two complementary nonadjacent angles. If one of the angles has a measure of 39°, what is the other angle measure?
3. A figure shows two nonadjacent angles (2x+3)° and 2x°. If the angles are complementary, what is the equation for the angles?
(_)° + 2x° = _°
4. Two complementary angles are expressed as 2x and 3x. What is the value of x and the two angle measures?
x = _, 2x = _°, and 3x = _°
5. Angles j and k are supplementary angles. What is the measure of angle j if angle k=117°?
6. Two supplementary angles are ∠ABC=105° and ∠CBD=(3x−24)°. What is the equation to solve for x?
3x° + _° = _°
7. Two angles are supplementary. ∠ACB=4x° and ∠BCD=6x+50°. What is the measure of ∠ACB?
∠ACB = _°
8. look at attachment with the 8 on it
9.attachment with the 9 drawn on it
10. the attachment with 10 on it
11. For two vertical angles where ∠1=2x+26° and ∠3=3x−32°, what is the measure of each angle?
12. (ESSAY) In a diagram, ∠A and ∠B are vertical angles, and ∠B is a complementary angle with ∠C. If ∠A=22°, write an equation that you can use to solve for ∠C
The solution for each parts is shown below.
What is Vertical Angle?Where two lines intersect, there are two vertical angles.
Given:
1. Two adjacent angles
<1 + <2 = 135
2x + 2x+ 7 = 135
4x + 7 = 135
4x = 128
x= 32
2. If one of the angles has a measure of 39° then other angle is
= 90 - 39
= 51 degree.
3. The angles are complementary.
2x + 3 + 2x = 90
4. Two complementary angles are expressed as 2x and 3x.
2x + 3x= 90
5x = 90
x = 18
So, 2x = 36 and 3x = 54 degree.
5. Angles j and k are supplementary angles.
<j + <k = 180
<j + 117 = 180
<j = 63
6. Two supplementary angles are ∠ABC=105° and ∠CBD=(3x−24)°.
105 + 3x -24 = 180
3x + 81 = 180
7. Two angles are supplementary. ∠ACB=4x° and ∠BCD=6x+50°.
<ACB + <BCD = 180
4x + 6x + 50 = 180
10x = 130
x= 13
So, <ACB = 4x = 4(13)= 52.
8. For two vertical angles where ∠1=2x+26° and ∠3=3x−32°
<1 = < 3
2x + 26 = 3x -32
2x - 3x = -32 - 26
-x =-58
x= 58
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the probability that a continuous random variable equals any of its values is_____
The probability that a continuous random variable will be equal to any specific value is zero. This is because the probability of an individual value for a continuous random variable is represented by the area under the probability density function (PDF) at that particular value, and the area of a single point is zero.
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 32ft long and 26ft wide.
Find the area of the garden. Use the value 3.14 for pi, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
Using 3.14 for π, we have:
[tex]32(26) + \frac{1}{2} (3.14)( {13}^{2} ) = 1097.33[/tex]
about 1,097.33 square feet
Find the length of X
Similar triangles have different dimensions, but their measurements have the same ratio.
Solving the QuestionIn the image, we can see two triangles. A large triangle and a small triangle. These are similar. How can we tell? They share the same angles.
Now, we can set up a proportion comparing their side lengths:
[tex]\dfrac{82}{28}=\dfrac{(2x+8)+(5x-4)}{2x+8}[/tex]
Theoretically, if we divide corresponding side lengths of two similar shapes, we should get the same value. This is what makes the proportion true.
Now, simplify:
[tex]\dfrac{82}{28}=\dfrac{(2x+8)+(5x-4)}{2x+8}[/tex]
First, simplify the fraction on the left:[tex]\dfrac{41}{14}=\dfrac{(2x+8)+(5x-4)}{2x+8}[/tex]
Remove the fractions by multiplying each side by the denominators:[tex]41(2x+8)=14[(2x+8)+(5x-4)][/tex]
Expand the parentheses:[tex]82x+328=14[2x+8+5x-4]\\82x+328=14(7x+4)\\82x+328=98x+56[/tex]
Combine like terms:[tex]328=16x+56\\272=16x\\x=17[/tex]
Answerx = 17
