consider the gre scores for a random sample of 6 students out of a class of 25: name julia andrew jason cathy jessica robert score 650 550 380 720 710 550 what is the point estimate for the mean score for students in the class?

Answers

Answer 1

Answer: Name Score
Julia 650
Andrew 550
Jason 380
Cathy 720
Jessica 710
Robert 550

Point estimate for the mean score:
Sample mean = sum of all observations / number of observations

sample mean = (650+550+380+720+710+550) / 6
sample mean = 3560 / 6
sample mean = 593.33

The point estimate for the mean score is 593.33

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Solve for
a. 7a-2b = 5a+b

Answers

Answer: The required value of a is $(3)/(2)b.$

Step-by-step explanation: We are given to solve the following equation for variable a :

$7a-2b=5a+b~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To solve the above equation for a, we need to take terms involving a on one side of equality that that involving b on the other side.

So, from equation (i), we get

$7a-2b=5a+b\n\n\Rightarrow 7a-5a=b+2b\n\n\Rightarrow 2a=3b\n\n\Rightarrow a=(3)/(2)b.$

Thus, the required value of a is $(3)/(2)b.$

7a-2b = 5a + b
2a=3b
a = 3b/2

Out of 1,100 discs tested, 13 are defective. Estimate the number of defective discs in a batch of 41,000.

Answers

This is a simple proportion

1100 : 13 = 41000 : x

For every 1100 discs, 13 are defective, meaning that there will be an X number for each 41000

13 * 41000 = 1100 * x

13 * 410 = 11 * x
5330 = 11 * x
x = 5330/11
x = 484.5

That means that for every 41000, approximately 485 discs will break down.

Answer:

x = 484.5

That means that for every 41000, approximately 485 discs will break down

What is the area of the triangle below? Choose the correct answer.

Answers

Answer:

a. 16

Step-by-step explanation:

area of a triangle=1/2(bh). In this case, b=10 and h=3 1/5

multiply 10 and 3 1/5 to get 32

multiply 32 by 1/2 to get 16.

I need help with these could you guys help me?

Answers

The first one simplifies by collecting like terms to become:
7a²(4b²+9ab+10)
and the second one simplifies again by collecting like terms to become:
7u(16u²-49v²)
Got anymore questions, happy to help :)

Find the common ratio for the following sequence.

0.1, 0.01, 0.001, ...

Answers

Well, you divide by 10 each time, so a common ratio is 1/10. Haven't done this in a while so. Not entirely sure

Which of the following choices is the common difference between the terms of this arithmetic sequence4x + 7y, 8x+ 2y ,12x -3y,16x-8y,20x-13y, ...

a. 5x+4y
b. 4x-5y
c. -5x-4y
d. 5x -4y
e. 4x +5y

Answers

Choice (b) that is 4x-5y

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