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2 years ago

4/12 of a cake was left over if another 3/12 of the cake is eaten

Mathematics

1 answer:

inn [45]2 years ago

3 0

There would be 1/12 of the cake left.

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The area of Lake Erie is about 7.1538 times 10 to the power of 8 square miles. The area of the Indian Ocean is about 9.3214 time

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3 years ago

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3 years ago

What is the 90 degree angle of this shape to the right?

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3 years ago

What is the length of the missing leg?

sp2606 [1]

Answer:

$a=12$

Step-by-step explanation:

Pythagorean Theorem: $a^{2}+b^{2}=c^{2}$

In this case, a = 9, b = a, and c = 15.

$9^{2}+a^{2}=15^{2}$

$81+a^{2}=225$

The, we subtract 81 from both sides getting:

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Then, $a=12$

6 0

1 year ago

The ability to find a job after graduation is very important to GSU students as it is to the students at most colleges and unive

gtnhenbr [62]

Answer: (0.8468, 0.8764)

Step-by-step explanation:

Formula to find the confidence interval for population proportion is given by :-

$\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

, where $\hat{p}$ = sample proportion.

z* = Critical value

n= Sample size.

Let p be the true proportion of GSU Juniors who believe that they will, immediately, be employed after graduation.

Given : Sample size = 3597

Number of students believe that they will find a job immediately after graduation= 3099

Then, $\hat{p}=\dfrac{3099}{3597}\approx0.8616$

We know that , Critical value for 99% confidence interval = z*=2.576 (By z-table)

The 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation will be

$0.8616\pm(2.576)\sqrt{\dfrac{0.8616(1-0.8616)}{3597}}$

$0.8616\pm (2.576)\sqrt{0.0000331513594662}$

$\approx0.8616\pm0.0148\\\\=(0.8616-0.0148,\ 0.8616+0.0148)=(0.8468,\ 0.8764)$

Hence, the 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation. = (0.8468, 0.8764)

4 0

2 years ago