Answer:
22 projects did not receive a perfect score
Step-by-step explanation:
12% or 25 is 3, meaning 3 got perfect scores. You would subtract 3 from 25 to get the amount of projects that didnt get a perfect score.
Answer:
52%
Step-by-step explanation:
25 x 4 =100
12 x 4 =48
100-48=52
how many times larger is 2.4 x 10^8 than 6 x 10^7?
111.2 please help 20 points!!!!
Answer:
111.2
Step-by-step explanation:
It would just remain 111.2
The square root and the squared cancel out on eachother
For, square roots of number will be what times what gives you that number while squared numbers will give you a number multiplied by utsekf,
3.3^(2x+1)-103^x+1=0 need solution of this question
Answer:
Concepts of mathematics Answer: x= -1.53Please helppppppppppppp me
Answer:
with what?
Step-by-step explanation:
A polling agency is investigating the voter support for a ballot measure in an upcoming city election. The agency will select a random sample of 500 voters from one region, Region A, of the city. Assume that the population proportion of voters who would support the ballot measure in Region A is 0.47. What is the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50
Answer:
The value is [tex]P( X > 0.50) = 0.089264[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 500
The population proportion is p = 0.47
Generally given that the sample size is sufficiently large , the mean of this sampling distribution is mathematically represented as
[tex]\mu_x = p = 0.47[/tex]
Generally the standard deviation of the sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{\frac{p(1- p )}{ n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ 0.47 (1-0.47 )}{ 500 } }[/tex]
=> [tex]\sigma = 0.0223[/tex]
Gnerally the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50 is mathematically represented as
[tex]P( X > 0.50) = P( \frac{ X - \mu }{ \sigma } > \frac{ 0.50 - 0.47 }{ 0.0223 } )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
=> [tex]P( X > 0.50) = P( Z> 1.3453 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1.3453 is
[tex]P( Z> 1.3453 ) = 0.089264[/tex]
So
[tex]P( X > 0.50) = 0.089264[/tex]
Using the normal distribution and the central limit theorem, it is found that there is a 0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
By the Central Limit Theorem, the sampling distribution of sample proportions of size n of a proportion p has [tex]\mu = p, s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this problem:
Sample of 500 voters, hence [tex]n = 500[/tex].The proportion is of 0.47, hence [tex]p = 0.47[/tex]The mean and the standard deviation are:
[tex]\mu = p = 0.47[/tex]
[tex]\sigma = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.47(0.53)}{500}} = 0.0223[/tex]
The probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50 is 1 subtracted by the p-value of Z when X = 0.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.5 - 0.47}{0.0223}[/tex]
[tex]Z = 1.34[/tex]
[tex]Z = 1.34[/tex] has a p-value of 0.9099.
1 - 0.9099 = 0.0901
0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.
A similar problem is given at https://brainly.com/question/24663213
Los Angeles is 1,744 miles from Chicago, Chicago is 714 miles from New York, and New York is 2,451 miles from Los Angeles. Draw a triangle connecting these three cities, and find the angles in the triangle.
Answer:
Following are the solution to this question:
Step-by-step explanation:
please find the graph image in the attached file.
Given value:
[tex]AB= c= 1744 \ miles\\\\BC= a= 2451 \ miles\\\\AB= s= 714 \ miles[/tex]
using the law of cosines:
[tex]\cos A = \frac{s^2+c^2-a^2}{2bc}\\\\[/tex]
[tex]=\frac{714^2+1744^2-2451^2}{2 \times 714 \times 1744}\\\\= -0.9862[/tex]
[tex]A=cos^{-1} (-0.9862)\\\\A= 170.47^{\circ}[/tex]
[tex]\cos B = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\B=cos^{-1} (0.9988)\\\\B= 2.7641^{\circ}\\\\[/tex]
[tex]\cos C = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\C=cos^{-1} (0.9988)\\\\C= 2.7641^{\circ}[/tex]
An exponential function in the form y = ab^x goes through the points (3, 10.125) and (6, 34.2). Find a to the
nearest integer and b to the nearest tenth, then find f (10) to the nearest integer.
Answer:
[tex]f(10) = 173[/tex]
Step-by-step explanation:
Given
Exponential Function
[tex](x_1,y_1) = (3,10.125)[/tex]
[tex](x_2,y_2) = (6,34.2)[/tex]
Required
Determine f(10)
We have that
[tex]y = ab^x[/tex]
First, we need to solve for the values of a and b
For [tex](x_1,y_1) = (3,10.125)[/tex]
[tex]10.125 = ab^3[/tex] --- (1)
For [tex](x_2,y_2) = (6,34.2)[/tex]
[tex]34.2 = ab^6[/tex] ---- (2)
Divide (2) by (1)
[tex]\frac{34.2}{10.125} = \frac{ab^6}{ab^3}[/tex]
[tex]\frac{34.2}{10.125} = \frac{b^6}{b^3}[/tex]
[tex]3.38= b^{6-3}[/tex]
[tex]3.38= b^{3}[/tex]
Take cube root of both sides
[tex]b = \sqrt[3]{3.38}[/tex]
[tex]b = 1.5[/tex]
Substitute 1.5 for b in [tex]10.125 = ab^3[/tex]
[tex]10.125 = a * 1.5^3[/tex]
[tex]10.125 = a * 3.375[/tex]
Solve for a
[tex]a = \frac{10.125}{3.375}[/tex]
[tex]a = 3[/tex]
To solve for f(10).
This implies that x = 10
So, we have:
[tex]y = ab^x[/tex] which becomes
[tex]y = 3 * 1.5^{10[/tex]
[tex]y = 3 * 57.6650390625[/tex]
[tex]y = 172.995117188[/tex]
[tex]y = 173[/tex] -- approximated
Hence:
[tex]f(10) = 173[/tex]
Which of the following equations is equivalent to
3x + 2 = 14?
A. 4x=14
B. 3x=12
C. 3x=16
D. -1x = 12
Answer:
C
is your answer. Glad I could help!
Step-by-step explanation:
3 + 2 = 5 + 14 = 19
A. 18
B. 15
C. 19
D. 11
Please, does anyone know the step to solve this equation? I mark u brainlist.
Answer:
(2, -6)
Step-by-step explanation:
First you want to set both equations equal to each other so you can find one of the variables.
y = x^2 + 3x -4
for second equation lets rearrange so we start with y=
x=y-4
add 4 to both sides
4+x = y or y= x+4
since both equations equal y, lets set them equal to each other
x+4 = x^2 + 3x -4
set it equal to 0 by subtracting x and 4 from both sides
x^2 + 2x -8 = 0
factor
(x+4) (x-2) = 0
so x has to be either -4 or 2. We can shortcut and say only B makes sense since x=2.
to double check, plug in x=2 in both equations
y= 2^2 + 3(2) -4 = 4+6 -4 = 6
2 = y -4; y=6
so B is correct.
please give thanks by clicking the heart button, i spent a while :)
Determine the quotient of 1 and 2 over 3 divided by 4 over 5 . (2 points)
1 and 1 over 3
1 and 8 over 15
2 and 1 over 12
2 and 5 over 6
Answer:
2 and 1 over 12
Step-by-step explanation:
[tex]1 \frac{2}{3} \div \frac{4}{5} \\ \\ = \frac{1 \times 3 + 2}{3} \div \frac{4}{5} \\ \\ = \frac{5}{3} \times \frac{5}{4} \\ \\ = \frac{25}{12} \\ \\ = 2 \frac{1}{12} \\ [/tex]
24 coloring books,60 crayons, and 84 markers can be packaged into at most how many Identical packages? How many will each package contain?
Answer:
there can be 12 identical packages at most. each package will contain:
- 2 coloring books
- 5 crayons
- 7 markers
Step-by-step explanation:
what's the rate of change and is it a linear function
Answer:
The rate of change is -4.5 and the relation of the table is a linear function
Step-by-step explanation:
Linear function.
A linear function can be identified because the rate of change is constant at every point of its domain.
The graph of a linear function is a straight line with a constant slope.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We'll show the relation shown in the table is a linear function. We'll calculate the slope for any random pair of points. For example, using (2,83) and (3,78.5):
[tex]\displaystyle m=\frac{78.5-83}{3-2}=-4.5[/tex]
Now for (7,60.5) and (14,29):
[tex]\displaystyle m=\frac{29-60.5}{14-7}=\frac{-31.5}{7}=-4.5[/tex]
Proceeding in a similar way with any pair of points, the slope will always result in the same value, thus the rate of change is -4.5 and the relation of the table is a linear function.
At fast food restaurant, 90% of the customers’ order hamburger. If 72% of the customer’s order hamburger and French fries, what is the probability that a customer who orders hamburger will also order French fries?
Answer:
0.8
Step-by-step explanation:
A = hamburger
B = french fries
P(B|A)
P(AB)/P(A)
= 0.72/0.9
= 0.8
solve the equation
[ 3 2 5 5 ] [ x1 x2] + [ 1 2 ] = [ 2 -3 ]
Answer:
x1=3 x2=-4
Step-by-step explanation
The value of the x₁ = 3.2, and x₂ = -3.8 if the linear equation in two variables is 3x₁ + 2x₂ = 2, and 5x₁ + 5x₂ = -3.1
What is the matrix?It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.
The determinant in arithmetic is a real number that is a variable of the rows and columns of a square matrix. It lets specifying a few aspects of the matrix and the linear map that the matrix provides.
It is given that:
[tex]\left[\begin{array}{ccc}3&2\\5&5\\\end{array}\right] \left[\begin{array}{ccc}x_1\\x_2\\\end{array} \right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}3x_1+2x_2\\5x_1+5x_2\\\end{array}\right] = \left[\begin{array}{ccc}2\\-3\\\end{array}\right][/tex]
On comparing:
3x₁ + 2x₂ = 2
5x₁ + 5x₂ = -3
The above two equations represent linear equations in two variables:
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
After solving with substituion method:
x₁ = 3.2
x₂ = -3.8
Thus, the value of the x₁ = 3.2, and x₂ = -3.8 if the linear equation in two variables is 3x₁ + 2x₂ = 2, and 5x₁ + 5x₂ = -3.
Learn more about the matrix here:
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Need pleas ok need today
Answer:
90
Step-by-step explanation:
You need to simply add all the given numbers together and enter the missing number that'll make the total 0. So:
-75 + (-25) = -100
-100 + 10 = -90
-90 + 90 = 0
Thus, adding a 90 in the empty box will make it 0.
Answer:
90
Step-by-step explanation:
This is the answer because:
1) -75 + (-25) = -100
2) -100 + 10 = -90
3) -90 + 90 = 0
Therefore, the answer is 90 because whenever a negative number is added with the same poitive number, it beomes a 0.
Hope this helps! :D
For a moving object, the force acting on the object where is directly from the objects acceleration. When a force of 21 N Acts on a certain object, the acceleration of the object is 7 m/s^2. If the acceleration of the object becomes 9 m/s^2, what is the force?
Answer:
[tex]F = 27N[/tex]
Step-by-step explanation:
Given
Force directly proportional to acceleration
Force = 21N when Acceleraion = 7m/s^2
Required
Determine the force when acceleration = 9m/s^2
The variation between force (F) and acceleration (A) implies that:
[tex]F\ \alpha\ \ A[/tex]
Convert to an equation
[tex]F = mA[/tex]
Where m is constant.
When F = 21 and A = 7, we have:
[tex]21 = m * 7[/tex]
Solve for m
[tex]m = \frac{21}{7}[/tex]
[tex]m = 3[/tex]
When A = 9
Substitute 9 for A and 3 for m in [tex]F = mA[/tex]
[tex]F = 3 * 9[/tex]
[tex]F = 27N[/tex]
which is the correct answer?
Answer:
i think B
Step-by-step explanation:
What is the equation of the line written in slope intercept form
Answer:
Where is the graph, once you upload it, I will change the answer
Step-by-step explanation:
A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent
Answer:
33.33%
Step-by-step explanation:
We need to calculate the unit selling price and cost of each cosmetics.
If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;
x = 1 cosmetic
since 360 = 12 cosmetic
cross multiply
12x = 360
x = 360/12
x = 30
Hence the unit cost price of the cosmetics will be Rs. 30
Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)
Selling price per unit = Rs. 40
Cost price per unit = Rs. 30
percent gain = SP-CP/CP * 100%
percent gain = 40-30/30 * 100
percent gain = 10/30 * 100
percent gain = 100/3
percent gain = 33.33%
Hence the percentage gain is 33.33%
find the midpoint of the segment with endpoints with coordinates at (-2,3) and (6,3)
Line M passes through the points (-5, 8) and (-1, 9) what is true of line M
Answer:
The equation of the line is:
[tex]y=\frac{1}{4}x+\frac{37}{4}[/tex]Step-by-step explanation:
Given the points
(-5, 8)(-1, 9)Finding the slope between the points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-5,\:8\right),\:\left(x_2,\:y_2\right)=\left(-1,\:9\right)[/tex]
[tex]m=\frac{9-8}{-1-\left(-5\right)}[/tex]
[tex]m=\frac{1}{4}[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 1/4 and the point (-5, 8)
[tex]y-8=\frac{1}{4}\left(x-\left(-5\right)\right)[/tex]
[tex]y-8=\frac{1}{4}\left(x+5\right)[/tex]
Add 8 to both sides
[tex]y-8+8=\frac{1}{4}\left(x+5\right)+8[/tex]
[tex]y=\frac{1}{4}x+\frac{37}{4}[/tex]
Thus, the equation of the line is:
[tex]y=\frac{1}{4}x+\frac{37}{4}[/tex]4 gallons= ________________ quarts *
Answer:
4 gallons=16 quarts
Step-by-step explanation:
Brainliest me pls
Have a nice day!
Answer:
16 Quarts
Step-by-step explanation:
First I figured out how many quarts are in a gallon which is 4.
Then I multiplied 4 by 4 which gives you 16.
Hope This helps! ^w^
A reflector on the inside of a certain flashlight is a parabola given by the equation y = x2– 25. Find the points where
the reflector meets the lens by finding the values of x when y = 0.
Answer:
[tex]\boxed{x_1 = 5~~or~~x_2 = -5}[/tex]
.
Step-by-step explanation:
[tex]\to y = 0[/tex]
[tex]y = x^2 - 25[/tex]
[tex]x^2 - 25 = 0[/tex]
[tex]x^2 = 25[/tex]
[tex]x = \pm \sqrt{25}[/tex]
[tex]x = \pm 5[/tex]
.
[tex]x = 5[/tex]
[tex]x = -5[/tex]
The point where the reflector meets the lens is ± 5.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, A reflector on the inside of a certain flashlight is a parabola given by the equation y = x² - 25.
Now the points where the reflector meets the lens are,
0 = x² - 25.
x² = 25.
x = ± 5.
learn more about quadratic equations here :
https://brainly.com/question/17177510
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Mega Movies hosted a film premiere on Friday night. They charged $8 for adults and $4 for children. One hundred eight adults and children attended, and $1,152 was made in ticket sales. How many children and how many adults went to the film premiere?
A. 18 children, 133 adults
B. 14 children, 137 adults
C. 8 children, 143 adults
D. 11 children, 140 adults
Answer:
B.
Step-by-step explanation:
14 x 4 + 137 x 8 = $1,152
hope this helps
have a great day
and a Merry Christmas UwU
A gym owner has some red weights and some purple weights. The red weights are 8 kilograms each, and the purple weights are 3 kilograms each. The owner has 10 weights, and they weigh 55 kilograms in all. How many of each color weight does he have?
Answer:
7 red weights and 2 purple
Step-by-step explanation:
Answer:
5 purple weights and 5 red weights
Step-by-step explanation:
Please help with number 3 and 4
Answer:
3.
7d=7x7=49
2g=2x10=20
49-20 = 29
Step-by-step explanation:
4.
bc=8x2 = 16
c^3= 2x2x2 =8
bc - c^3 = 16-8 =8
On a factory floor, 65 out of every 140 toy robots is defective. What percent of the toy robots are defective? Round your answer to the nearest hundredth.
Answer:
65/140
as a percentage is 46.43
hundredth rounding
46.4
Step-by-step explanation:
What is the height of the triangle? Please mark me brainlest
Answer:
It's 3 square units.
Count the "squares" and you get 3 and it's not real units so It's called "Square units".
:)
Answer:
no figures
Step-by-step explanation:
to work with and the answer is can't be determined
Solve the given equation for v.
Answer:(3t)^2
Step-by-step explanation:
Steps below
A food manufacturer uses an extruder (a machine that produces bite-size cookies and snack food) that yields revenue for the firm at a rate of $200 per hour when in operation. However, the extruder breaks down an average of two times every day it operates. If Y denotes the number of breakdowns per day, and suppose Y follows a Poisson distribution. The daily revenue generated by the machine is R=1600−50Y^2. Find the expected daily revenue for the extruder.
Answer:
$1300
Step-by-step explanation:
λ = average = 2 per day, Y denotes the number of breakdowns per day,
But E(Y) = λ, E[Y(Y - 1)] = λ²
E(Y²) = E[Y(Y - 1)] + E(Y), hence:
E(Y²) = λ² + λ
The daily revenue is R=1600−50Y². The expected daily revenue for the extruder E(R) is:
E(R) = E(1600−50Y²) = 1600 - 50E(Y²)
E(R) = 1600 - 50(λ² + λ)
Substituting:
E(R) = 1600 - 50(2² + 2)
E(R) = 1600 - 300 = 1300
E(R) = $1300
