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il63 [147K]
2 years ago
7

( 3.42 x 10^-7 ) ( 7.5 x 10^-6 ) in standard form

Mathematics
1 answer:
shutvik [7]2 years ago
3 0

Answer:

2.565 × 10^-12

Step-by-step explanation

multiply 3.42 and 7.5

you will get 25.65

multiply that by 100

then after add the powers( index law) you will get -13

minus -13 to get -12 because you multiplied by 100

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Around 60.32 squared

Step-by-step explanation:

Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.

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3 years ago
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How do I evaluate 8^7 / 8^7?
morpeh [17]

Answer:

The final result is 1

Step-by-step explanation:

Remember the following:

\frac{x^{m}}{x^{n}} = x^{m-n} \\

And that x^0= 1

We have: 8^7 / 8^7= 8 ^ (7-7)=8^0=1

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3 years ago
14 over 15 divided by 28
Hoochie [10]

Answer:

1/30

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A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is
insens350 [35]

Answer:

The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.

Step-by-step explanation:

A university interested in tracking its honors program believes that the proportion of graduates with a GPA of 3.00 or below is less than 0.16.

This means that the null hypothesis is:

H_{0}: p \geq 0.16

Testing this hypothesis, means that the alternate hypothesis is:

H_{a}: p > 0.16

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.16 is tested at the null hypothesis:

This means that \mu = 0.16, \sigma = \sqrt{0.16*0.84}

In a sample of 200 graduates, 24 students have a GPA of 3.00 or below.

This means that n = 200, X = \frac{24}{200} = 0.12

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.12 - 0.16}{\frac{\sqrt{0.16*0.84}}{\sqrt{200}}}

z = -1.54

Pvalue:

The pvalue is the probability of finding a sample mean above 0.12, which is 1 subtracted by the pvalue of z = -1.54.

Looking at the z-table, z = -1.54 has a pvalue of 0.0618

1 - 0.0618 = 0.9382

The value of the test statistic and its associated p-value at the 5% significance level are -1.54 and 0.9382, respectively.

6 0
2 years ago
The two rectangles above are similar. If a = 20 m, b = 30 m, and c = 30 m, what is the length of d?
galina1969 [7]

Answer:

20

Step-by-step explanation:

3 0
2 years ago
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