Answer:
The value is [tex]\mu_n = 73.6[/tex]
Step-by-step explanation:
From the question we are told that
The total number of students is [tex]N = 25[/tex]
The number of student that took exam in class is n = 24
The number that took make up exam is k = 1
The average score of the first 24 students is [tex]\mu = 74[/tex]
The standard deviation is [tex]\sigma = 8.9[/tex]
The average score of the student who took make up test is [tex]\= x = 64[/tex]
Generally the new average is mathematically represented as
[tex]\mu_n = \frac{( n * \mu ) + \= x }{N}[/tex]
[tex]\mu_n = \frac{( 24 * 74 ) + 64 }{25}[/tex]
[tex]\mu_n = 73.6[/tex]
What is the minimum value of the graph of y = cos(x)?
Answer:-1
Step-by-step explanation:
C
Answer:
C. -1
Step-by-step explanation:
Edge 2020
the exchange rate of US dollars to Bolivianos is $1 to 6.91 Bolivianos. if an item in the Bolivian market costs 482 bolivianos, how many US dollars does it cost?
Answer:
77.9
Step-by-step explanation:
$1=B6.19
therefore; B6.19=$1
B1=$1\6.19
B482=$1\6.19×482
B482=482÷6.19
B482=77.8675283
B482=77.9
Which graph represents a proportional relationship?
Answer:
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
Step-by-step explanation:
Option D is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value time the other.
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. Each point (x, y) on the graph, is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.
Therefore, option D is the correct answer.
To learn more about proportional relationships visit:
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Simplify: −3xy2(2x2y3 + 7xy2 − 5x3y2)
A) −6x3y4 + 21x2y4 + 15x3y4
B) −6x2y5 + 21x2y3 + 15x4y5
C) −6x3y5 − 21x2y4 + 15x4y4
D) −6x2y5 − 21x3y4 + 15x4y4
collect the like terms
Answer is C
Answer:
c
Step-by-step explanation:
1. The speed of light is 3 x 10^8 meters per second. The sun is approximately 230,000,000,000 meters from Mars. How many seconds does it take for sunlight to reach Mars?
2.If the sun is approximately 1.5 x 10^11 meters from Earth, what is the approximate distance from Earth to Mars? (Note: Use 230,000,000,000 from previous question, which was the sun's distance from Mars.)
Answer:
1. About 760 seconds.
Step-by-step explanation:
Using a calculator, I figured 3 x 10^8 and got 300,000,000. Then, I divided 230,000,000,000 by 300,000,000 to get 759.9 seconds.
Answer:
2. About 80,000,000,000 kilometers. (80 billion.)
Step-by-step explanation:
Again using a calculator, I figured 1.5 x 10^11 and got 150,000,000,000. Then, I subtracted 150,000,000,000 from 230,000,000,000 (230,000,000,000 - 150,000,000,000.) And got an answer of 80 billion.
Answer:
1. 7.6*10^2
2. 8*10^10
Step-by-step explanation:
1. (2.3*10^11)/(3*10^8)
0.76*10^3
The answer above isn’t in boundaries of 1-10 but smaller than 10 so you move it a 10th to the right and now you have to take one exponent away because you did that so you end up with:
7.6*10^2 0r 760 secs
2. (2.3*10^11)-(1.5*10^11)
(2.3-1.5) *10^11
0.8 *10^11
The ‘0.8’ isn’t in boundaries of 1-10 but less than 10 so you move it a 10th to the right which will be 8. Now you gotta do the exponent thing (explained earlier). You should end up with:
8*10^10 or 80 billion
How to solve equations
True or False A-B = B-A
Answer:
False
Step-by-step explanation:
Let's say A is 1 and B is 12.
For the first part 1 - 12= -11 and the second part 12 - 1 = 11.
-11 and 11 are not equal.
Hopefully that helps and have a great day!
Pls help ASAPPP I mark BRAINIEST
Answer:
The missing number is 5
Step-by-step explanation:
Let x be the number
Plug x in: [tex]\frac{5}{7} = \frac{1}{7}x[/tex] Divide each side by 1/7 to cancel out the 1/7 next to x. It should now look like this: 5 = xI hope this helps!
Write the augmented matrix for each system of equations.
7x-9y+ 3z = 6
- 2x - 6y + 10z = 3
-3x - 5y + 5z = -1
Answer:
The answer is 100% B
Step-by-step explanation:
I took the test
I can't figure out how to do this problem.
Have you tried multiplying 5(3)+2(2)+1?
15 + 4 + 1 = 20 ?
Im sorry I'm not real good with math.
Answer:
20
Step-by-step explanation:
x=3
y=2
5x +2y +1
5 ×3 +2×2 +1
15 +4 +1
20
A researcher believes that about 72%of the seeds planted with the aid of a new chemical fertilizer will germinate. He chooses a random sample of 165 seeds and plants them with the aid of the fertilizer. Assuming his belief to be true, approximate the probability that at most 117of the 165 seeds will germinate. Use the normal approximation to the binomial with a correction for continuity
Answer:
ion know you tell me .?
Step-by-step explanation:
When viewed from the front, the rope used to tie down a tent forms a pair of supplementary angles with the ground. Find m abc
Supplementary angles are angles that add up to 180 degrees.
180 = 3x + 4 + 8x + 11
Combine like terms.
180 = 11x + 15
Subtract 15 from both sides.
165 = 11x
Divide both sides by 11
15 = x
m<ABC = 3x + 4 = 3(15) + 4 = 45 + 4 = 49 degrees.
A submarine is 42 feet below the surface of the water a shark directly above the submarine is 19 feet below the surface of the water how many feet above the submarine is the shark
Answer: 23 feet above the submarine
Step-by-step explanation:42-19=23 the shark is 23 feet above the submarine.
What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form. A. Show your work. B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7? Explain your answer.
Answer:
A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.
6x³ - 5x² - 39x + 35 = 0
B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?
No it is not.
Step-by-step explanation:
A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.
(2x - 5) (3x² + 5x - 7)
= 2x(3x² + 5x - 7) -5(3x² + 5x - 7)
= 6x³ + 10x² - 14x -15x² - 25x +35
Collecting like terms
= 6x³ +10x² - 15x² - 14x - 25x +35
= 6x³ - 5x² - 39x + 35
In standard form
6x³ - 5x² - 39x + 35 = 0
B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?
First we find the product of
5x - 2 and 3x² + 5x - 7?
(5x - 2) (3x² + 5x - 7)
5x(3x² + 5x - 7) -2(3x² + 5x - 7)
15x³ + 25x² - 35x - 6x² -10x + 14
Collect like terms
15x³+ 25x² - 6x² -35x - 10x + 14
15x³ + 19x² - 45x + 14 = 0
Hence, the product of 5x - 2 and 3x^2 + 5x - 7
= 15x³ + 19x² - 45x + 14 = 0
The product of 2x -5 and 3x^2 + 5x -7 = 6x³ - 5x² - 39x + 35 = 0
Comparing both products, we can see that
The product of 2x -5 and 3x^2 + 5x -7 ≠ the product of 5x - 2 and 3x^2 + 5x - 7
Find the overall score for the student with the following weighted system and average
scores. Round to the tenth.
Weight Grade
Tests
55% 78.5
Homework
25% 80
Take home quizzes
15% 72
Participation
5% 50
Answer: 76.475
Step-by-step explanation:
___________weight(%) ___Grade
Tests _______55% ______78.5
Homework __25% ______ 80
Th quizzes__15% _______72
Participation_5% _______50
Overall score = Σ (weight% × grade)
Hence,
(55% * 78.5) + (25% * 80) + ( 15% * 72) + (5% * 50)
43. 175 + 20 + 10.8 + 2.5
= 76.475
Hence, overall score = 76.475
In Test A, suppose you make 100 experimental measurements of some quantity and then calculate mean, standard deviation, and standard error of the numbers you obtain. In Test B, suppose you make 1000 experimental measurements of the same quantity and you again calculate mean, standard deviation, and standard error. How would you expect the mean, standard deviation, and standard errors found in Test A and Test B to compare?
Answer:
D. I would expect the means and standard deviations in the two tests to be about the same, but the standard error in Test B should be smaller than in Test A.
Step-by-step explanation:
Options Includes "A.) I would expect the means, the standard deviations, and the standard errors in Test A and Test B to be about the same.
B.) I would expect the means of the two tests to be about the same, but both the standard deviation and the standard error in Test B should be smaller than in Test A .
C.) I would expect the means of the two tests to be about the same, but both the standard deviation and the standard error in Test B should be bigger than in Test A .
D.) I would expect the means and standard deviations in the two test to be about the same, but the standard error in Test B should be smaller than in Test A.
E.) would expect the means and standard deviations in the two test to be about the same, but the standard error in Test B should be larger than in Test A.
Reason:
Since we are measuring the same quantity 100 times and 1000 times respectively in both the tests, we would expect the means and standard deviations to not be significantly different from each other. The standard errors would differ, though, since the formula is = Standard deviation/square root of sample size. Since the sample sizes of both the tests are so significantly different, the corresponding standard errors will also be significantly different. More specifically, the standard error of Test B will be smaller than that of Test A.
This question is based on standard deviation.Therefore, the correct option is D i.e. I would expect the means and standard deviations in the two test to be about the same, but the standard error in test B should be smaller than in test A.
Given:
In Test A,make 100 experimental measurements of some quantity. In Test B, suppose you make 1000 experimental measurements of the same quantity.
Options are include here.
Here, we are measuring the same quantity 100 times and 1000 times respectively in both the tests, we would expect the means and standard deviations to not be significantly different from each other.
The standard errors would differ, though, since the formula is
[tex]= \bold{\dfrac{Standard \;deviation}{Square \;root\; of\; sample \;size}}[/tex]
Hence,the sample sizes of both the tests are so significantly different, the corresponding standard errors will also be significantly different. More specifically, the standard error of Test B will be smaller than that of Test A.
Therefore, the correct option is D i.e. I would expect the means and standard deviations in the two test to be about the same, but the standard error in Test B should be smaller than in Test A.
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Two students raced their model cars down a track. The first car traveled
at 40 centimeters per second. The second car traveled at 45 centimeters
per second. If the cars started at the same time, how far apart were the
cars after 3 seconds?
Answer:
Step-by-step explanation:
What are the first five sequences to the equation f(1)=2/3,f(n)=f(n-1)x3/2
Answer:
2/3,1,3/2,9/4,27/8
Step-by-step explanation:
f(1)=2/3
f(n)=f(n-1)×3/2
f(2)=f(2-1)×3/2=f(1)×3/2=2/3×3/2=1
f(3)=f(3-1)×3/2=f(2)×3/2=1×3/2=3/2
f(4)=f(4-1)×3/2=f(3)×3/2=3/2×3/2=9/4
f(5)=f(5-1)×3/2=f(4)×3/2=9/4×3/2=27/8
g(x)=3x^2-5x-9 find g(x+2)
3x - 5 =35 what is x ?
Answer:
x=403
Step-by-step explanation:
Let's solve your equation
Hey there! I'm happy to help!
We want to get x all by itself on one side to find out what it is equal to.
We add 5 to both sides.
3x=40
And we divide both sides by 3.
x=13 1/3
Have a wonderful day! :D
Determine the value of x in the figure.
Question 20 options:
A)
x = 9
B)
x = 3
C)
x = 6
D)
x = 4.5
the midpoint of GH is M(4,-3) One endpoint is G(2,-2) find the coordinates of endpoint H
please help
Answer:
(6,-4)
Step-by-step explanation:
Midpoint = (x1+x2)÷2 , (y1+y2)÷ 2
Sub the values in,
(4,-3) = (2+X)÷2 , (-2+Y)÷2
Therefore cordinates of H is (6,-4)
f(x)=(x^(2))/(\sqrt(x))+|x-8| whats f(4)
Answer: I think the answer is 20
Answer:
20
20
20
20
Step-by-step explanation:
An investment earns 11% simple interest. What amount of principal is needed to have $4500 after 6 years? Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
Formula =P×R×T=I
P×11/100×6=4500
66/100p=4500
100/66×66/100=4500×100/66
P=6818.1818.......
=6818.18
Solve each equation.
5x-4=4x
Steps to solve:
5x - 4 = 4x
~Subtract 5x to both sides
-4 = -x
~Divide -1 to both sides
4 = x
Best of Luck!
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 4}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{5x - 4 = 4x}[/tex]
Move 4x to left hand side and change it's sign
Similarly, move 4 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{5x - 4x = 4}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{x = 4}}[/tex]
Hope I helped!
Best regards! :D
Please help please please please
Answer:
10/12
Step-by-step explanation:
All other answers can be simplified to 3/5.
An automated call machine can handle
8.86 minutes of calls before it sends a
report. How many reports would ft send
for 53.16 minutes of calls?
A. 0.06 report
C. 6 reports
D. 60 reports
B. 0.6 report
Need ASAP
what is the answer to 9x – 20 + x2
Answer:
it is simplified as much as it possibly can be because there are no like terms. x squared is not the same variable as x.
(1) An insurance agency sells various types of insurance policies. 40% of their clients buy auto insurance policies, 30% of their clients buy home insurance policies, and 15% of their clients buy both home and auto insurance policies. a. Compute the probability a randomly selected client buys a home or auto insurance policy.
Answer:
55% or 0.55(as a decimal)
Step-by-step explanation:
40% of their clients buy auto insurance policies = P(A)
30% of their clients buy home insurance policies = P(H)
15% of their clients buy both home and auto insurance policies = P( A ∩ H)
The probability a randomly selected client buys a home or auto insurance policy = P (A ∪ H) is calculated as
P ( A ∪ H) = P(A ) + P ( H ) - P( A ∩ H)
= 40% + 30% - 15 %
= 70% - 15%
= 55%
Therefore, the probability that a randomly selected client buys a home or auto insurance policy is 55% or expressed as decimal = 0.55
What is 5(2+x+3) Simplified ?
Answer:
25+5x
Step-by-step explanation:
Answer:
5x + 25
Explanation:
5(2 + x + 3)
2 + 3 = 5
5(x + 5)
Apply Distributive Property:
5(x) = 5x
5(5) = 25
Add
= 5x + 25
