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MaRussiya [10]
2 years ago
10

5. A gallon of paint covers 300 square feet.

Mathematics
1 answer:
Vladimir79 [104]2 years ago
3 0

Step-by-step explanation:

wall 25×12=300

2 walls = 600

wall2 20×12=240

2 wall2= 480

600+480= 1080 sq ft

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alex41 [277]

Step-by-step explanation:

there 5^(n+1) + 5^(n+2) = 5^n x 5^1 + 5^n x 5^2 breaking them as x^(a+b) = x^a x x^b

then taking common 5^n from both terms

5 0
3 years ago
What is the slope of the line for (9,6) &amp; (-2,17)
denis-greek [22]
The slope is negative one
7 0
2 years ago
Read 2 more answers
we believe that 42% of freshmen do not visit their counselors regularly. For this year, you would like to obtain a new sample to
Maksim231197 [3]

Answer:

A sample of 1077 is required.

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}.

The margin of error is of:

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

42% of freshmen do not visit their counselors regularly.

This means that \pi = 0.42

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.035. So

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

0.035 = 2.327\sqrt{\frac{0.42*0.58}{n}}

0.035\sqrt{n} = 2.327\sqrt{0.42*0.58}

\sqrt{n} = \frac{2.327\sqrt{0.42*0.58}}{0.035}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.42*0.58}}{0.035})^2

n = 1076.8

Rounding up:

A sample of 1077 is required.

3 0
3 years ago
RES<br> Find (fºg)(1)<br> Ax) = x2 - 1<br> g(x)= v<br> a 0<br> c. 4.<br> b.<br> d. 18<br> Help pls
slava [35]

Answer:

A

Step-by-step explanation:

So we have the two functions:

f(x)=x^2-1\\g(x)=\sqrt x

And we want to find:

(f\circ g)(1)

This is the same as:

f(g(1))

So, to find the answer, find g(1) first:

g(x)=\sqrt x\\g(1)=\sqrt1\\g(1)=1

Now, substitute this value for g(1):

f(g(1))\\=f(1)

And plug this into f(x):

f(x)=x^2-1\\f(1)=(1)^2-1\\f(1)=1-1=0

Therefore:

f(1)=f(g(1))=(f\circ g)(1)=0

Our answer is A

3 0
3 years ago
Read 2 more answers
IQ scores for adults aged 20 to 34 years are normally distributed according to N (110,25). Use the empirical rule to answer the
xxTIMURxx [149]
Since the mean of the distribution is 110, and the distribution is normal, then 50% of the the people will have scores below 110.
6 0
3 years ago
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