The government’s claims that students earn an average of $4,500 during their summer break from studies. A random sample of students gave had a sample average of $3,975 and a 95% confidence interval was found to be $3,525 < µ < $4,425. This interval is interpreted to mean that:a. because our specific confidence interval does not contain the value $4500 there is a 95% probability that the true average summer earnings is not $4500.b. if we were to repeat our survey many times, then about 95% of all the confidence intervals will contain the value $4500.c. if we repeat our survey many times, then about 95% of our confidence intervals will contain the true value of the average earnings of students.d. there is a 95% probability that the true average earnings are between $3525 and $4425 for all students.

Answers

Answer 1

Answer:

Answer:

d. there is a 95% probability that the true average earnings are between $3525 and $4425 for all students.

Step-by-step explanation:

95% confidence interval $3,525 < µ < $4,425 suggests that (choice d) there is a 95% probability that the true average earnings are between $3525 and $4425 for all students.

This result also suggests that (choice a) the true average summer earnings is not $4500, because our specific confidence interval does not contain the value $4500. But 95% probability is about the interval $3,525 < µ < $4,425, not the value $4500.

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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 – 2x2 – 3x + 4?

Answers

The coefficients of x4 is 9. It has factors of 1, 3, and 9. The constant is 4. It has factors of 1, 2, and 4.
The (positive and negative) ratios of the factors of the coefficient of the x4 and the constant 4 are the potential rational roots of the function.
The answers are:
1, -1, 3, -3, 9, -9, 1/2, -1/2, 3/2, -3/2, 3/4, -3/4, 9/2, -9/2, 9/4, -9/4

Answer:

It's B.

Step-by-step explanation:

The area of a playground is 50 square yards. The length of the playground is 2 times longer than its width. find the length and width of the playground.

Answers

Answer:

The length of the playground is 10 yards

The width of the playground is 5 yards.

Step-by-step explanation:

Given: The area of a playground is 50 square yards. The length of the playground is 2 times longer than its width.

Area = 50 square yards

Length = 2*width = 2w

Area of the playground = length*width

50 = 2w *w

2w^2 = 50

Dividing both sides by 2, we get

2w^2/2 = 50/2

w^2 = 25

Taking square root on both sides, we get

w = √25

w = 5 yards

Now let's find the length.

Length = 2 * width

= 2*5

length = 10 yards

length x width = area
width=x
length=2x
2x*x=50
2x^2=50
x^2=25
x=5
width=5
length=2x5=10

How might you prove your observations in Question 2 using algebra and x and y-coordinates? Briefly outline an approach using what you know about a midpoint and the slope of a line.

Answers

Answer:

I can use variables to represent the coordinates of the vertices for a general triangle, ∆ABC. Then I can calculate the midpoints of the sides in terms of those variables. Using the point-slope formula for the equation of a straight line, I can build the symbolic equations for the three medians, AE, BF, and CD. I can solve for the point of intersection for two of the medians, AE and BF, for example. Finally, I can prove the lines (i.e., medians) concurrent if the point I found also satisfies the equation of the line for CD.

Step-by-step explanation:

Here is the answer from Plato! Hope this helps :)

Answer:

Solve the equation. 3/2 + b = 7/4 (stylised in fractions)

b= ?

Answers

3/2 + b = 7/4

First rewrite 3/2 to have the same denominator as 7/4:

3/2 x 2 = 6/4

Now you have 6/4 + b = 7/4

To find b subtract 6/4 from 7/4:

b = 7/4 - 6/4

b = 1/4

The famous irrational numbers

Answers

The most famous irrational number is pi because it pops up in so many different situations. Probably the next most famous one is 'e', the base of natural logarithms. The square root of 2 is also right up there.

Most famous would probably be pi because it goes on and on forever and it is most commonly used

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Answers

Answer: The correct answer is A just took the test!

Step-by-step explanation:

Answer:

Step-by-step explanation:

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