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Nadusha1986 [10]
3 years ago
8

Find four consecutive integers whose sum is 114.

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
6 0

If n is the first of these integers, then the other three are n + 1, n + 2, and n + 3. Then

n + (n + 1) + (n + 2) + (n + 3) = 114

4n + 6 = 114

4n = 108

n = 27

So the four numbers are 27, 28, 29, and 30.

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We are interested in conducting a study to determine the percentage of voters of a state would vote for the incumbent governor.
Vladimir [108]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

The estimated proportion for this case is \hat p=0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

4 0
3 years ago
Evaluated to square ​
denis-greek [22]

Step-by-step explanation:

The square root of a number is a number that you can square to get it, that is, a number that you can multiply by itself to get the number. So, 2 is a square root of 4, because 2 x 2 = 4, and 3 is a square root of 9, because 3 x 2 = 9.

3 0
3 years ago
Help help help help help help
Free_Kalibri [48]
The answer is 21 or 63/3
6 0
3 years ago
Read 2 more answers
A community organizes a phone tree in order to alert each family of emergencies. In the first stage, one person calls five famil
masya89 [10]
Answer: It will take 7 stages for all 19,530 families to be called.

In the first stage, only 5 families are called.

In the second stage, we would have 5 x 5 = 25 families being called.

In the third stage, we would have 5 x 5 x 5 = 125 families being called.
We can use exponents to finish the list and see when our goal is reached.

4th stage: 5^4 = 625

5th stage: 5^5 = 3125

6th stage: 5^6 = 15625

7th stage: 5^7 = 78,125
6 0
3 years ago
Which is more 1/4 of rhe cheese pizza or 2/5 of the onion pizza
Leni [432]
Who eats onion pizza?

anyway, make bases same

1/4 times 5/5=5/20
2/5 times 4/4=8/20
5/20 vs 8/20
8/20 i bigger

2/5 is bigger

actaully depends on how big th pizza is
cheese could be 12 feet wide and the onion could be 12 inches wide
6 0
3 years ago
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