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Oksanka [162]
3 years ago
9

(1/2)^3+(8*3/4)-6 please help asap

Mathematics
1 answer:
Natali [406]3 years ago
7 0

(1/2)^3 = 1/2 * 1/2 * 1/2 = 1/8

8 * (3/4) = (8 * 3)/4 = 24/4 = 6

Then, from order of operations, you can do the subtraction first or the addition first. The subtraction would be easier to do first, because we would have 6 - 6 = 0.

Then, we’re left with 1/8 + 0 which is just 1/8.

The answer is 1/8.

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Eric wants to estimate the percentage of elementary school children who have a social media account. He surveys 450 elementary s
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<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} is the sample proportion, n is the sample size , z_{\alpha/2} is the critical z-value.

The  values needed to calculate a confidence interval at the 99% confidence level are :

Given : Significance level : \alpha:1-0.99=0.01

Sample size : n=450

Critical value : z_{\alpha/2}=2.576

Sample proportion: \hat{p}=\dfrac{280}{450}\approx0.62

Now, the  99% confidence level will be :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.62\pm(2.576)\sqrt{\dfrac{0.62(1-0.62)}{450}}\\\\\approx0.62\pm0.023\\\\=(0.62-0.023,\ 0.62+0.023)=(0.597,\ 0.643)

Hence, the  99% confidence interval is (0.597,\ 0.643)

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3 years ago
Which linear function is represented by the graph?
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Kayla has 1,000 Apples in 5 bags, Mack has 999 apples in 5 bags as well, how many apples does Kayla have THAN Mack? Mack said th
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6 0
3 years ago
Kenny's scores the first 5 times he played a video game are listed below. 38, 51, 64, 77, 90 Kenny's scores follow a pattern. If
gayaneshka [121]

Kenny's score on his 72nd game played is 961

<em><u>Solution:</u></em>

Given that the first 5 score of Kenny are listed below:

38, 51, 64, 77, 90

Kenny's scores follow a pattern

<em><u>To find: Kenny's score on his 72nd game played</u></em>

Let us first find the pattern followed

38, 51, 64, 77, 90

<em><u>Find the difference between terms</u></em>

51 - 38 = 13

64 - 51 = 13

77 - 64 = 13

90 - 77 = 13

So the difference between terms is constant

So the sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

<em><u>The formula for nth term of arithmetic sequence is given as:</u></em>

a_n = a_1 + (n-1)d

a_n = the nᵗʰ term in the sequence

a_1 = the first term in the sequence

d = the common difference between terms

Here d = 13 and a_1 = 38

So we get,

a_n = 38 + (n-1) \times 13

<em><u>To find the score of 72nd game, substitute n = 72</u></em>

a_{72} = 38 + (72-1) \times 13\\\\a_{72} = 38 + 71 \times 13\\\\a_{72} = 38 + 923\\\\a_{72} = 961

Thus Kenny's score on his 72nd game played is 961

7 0
2 years ago
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