All categories

3 years ago

Multiply the following 11 x square Y and 2 x square y square

Mathematics

1 answer:

Alex17521 [72]3 years ago

4 0

Answer:

22 x to the 4th power and y to the 3rd power

Step-by-step explanation:

You might be interested in

Which problems are best solved using scatter plots and their trend lines?

NikAS [45]

Answer:

Data over time.

Step-by-step explanation:

6 0

3 years ago

I want to take a survey of students at my university to find out what proportion like the new bus service on campus. I believe t

tatiyna

Answer:

You will need to sample at least 3108 students.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

In this problem, we have that:

$\pi = 0.75$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

How many students will I need to survey if I want to estimate, with 99% confidence, the true proportion to within 2%?

You need a sample size of at least n.

n is found when M = 0.02. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.575\sqrt{\frac{0.75*0.25}{n}}$

$0.02\sqrt{n} = 1.115$

$\sqrt{n} = \frac{1.115}{0.02}$

$\sqrt{n} = 55.75$

$\sqrt{n}^{2} = (55.75)^{2}$

$n = 3108$

You will need to sample at least 3108 students.

4 0

3 years ago

Rewrite 5 − 6 using the additive inverse and display the new expression on a number line.

Serggg [28]

Additive inverses are numbers that when added to another number equal 0. The additive inverse of 5 is -5 and the additive inverse of 6 is -6. Therefore, the new expression is -5-(-6) or -5+6.

4 0

3 years ago

Five-sixths of the boats in the marina are white, 2 5 of the remaining boats are blue, and the rest are red. If there are 12 red

Inga [223]

Answer: There are 120 boats in the marina.

Step-by-step explanation:

Let's suppose that there are N boats

We know that 5/6 of them are white, then we have: (5/6)*N white boats.

The remaining is: N - (5/6)*N = (1/6)*N

We know that 2/5 of the remaining are blue, then we have:

(2/5)*(1/6)*N blue boats

And the rest are red, the rest is:

(1/6)*N - (2/5)*(1/6)*N = (3/5)*(1/6)*N

Then we have (3/5)*(1/6)*N red boats.

And we know that there are 12 red boats, then:

(3/5)*(1/6)*N = 12

Now we can solve this for N, which is the total number of boats in the marina.

N = 12*(6)*(5/3) = 120

There are 120 boats in the marina.

4 0

3 years ago

(Simplify your answer. Type an exact answer in terms of pi.)

likoan [24]

So the formula for the volume of a sphere is 4/3 * (π * r³)

V = 4/3 * (π * 6³)

V = 4/3 * (π * 216)

V = 4/3 * 678.24

V = 904.78

I hope this helps! If it does, please rate as Brainliest :D

7 0

3 years ago