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3 years ago

Round your answer to two decimal places log 6e

Mathematics

1 answer:

Andru [333]3 years ago

4 0

Solution: We know that e is numerical constant and is equal to 2.71828.

Therefore log( 6 x 2.71828) = 1.21

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A research report claims that 20% of all individuals use Firefox to browse the web. A software company is trying to determine if

Pani-rosa [81]

Answer:

a) The null and alternative hypothesis are:

$H_0: \pi=0.2\\\\H_a:\pi\neq 0.2$

b) Test statistic z = -1.3258

c) P-value = 0.1849

Step-by-step explanation:

a) As the reseracher want to determine if the proportion of their users who use Firefox is significantly different from 0.2, it is a two-tailed test, as a proportion significantly low or significantly high gives evidence to support the alternative hypothesis.

Then the null and alternative hypothesis are:

$H_0: \pi=0.2\\\\H_a:\pi\neq 0.2$

b) The sample has a size n=200.

The sample proportion is p=0.16.

$p=X/n=32/200=0.16$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.2*0.8}{200}}\\\\\\ \sigma_p=\sqrt{0.0008}=0.028$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.16-0.2+0.5/200}{0.028}=\dfrac{-0.038}{0.028}=-1.3258$

c) This test is a two-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=2\cdot P(z$

As the P-value (0.1849) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion of their users who use Firefox is significantly different from 0.2

8 0

3 years ago

Use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measur

ElenaW [278]

Answer:

13 degrees

Step-by-step explanation:

Let x be the degree measure of the angle's complement

Then we have the other angle is x + 64

Because the 2 angles complement each other so the sum of the 2 angles is 90

So we have the equation: 2x + 64 = 90

<=> 2x = 26

<=> x = 13

3 0

3 years ago

PLEASE HELP URGENT On a scale model of a building, 1/4 inch represents 3/8 foot.

Fudgin [204]

Answer:

Step-by-step explanation:

1/4 inch to 3/8 ft = x inches to 1 ft

(1/4) / (3/8) = x / 1

cross multiply because this is a proportion

3/8x = 1/4

x = 1/4 * 8/3

x = 8/12 which reduces to 2/3 inches <==

4 0

3 years ago

Which ordered pair is in the solution set of 3x-y=10

tia_tia [17]

B as if you plug the co-ordinates into the equation and it equals 10: (3x4)-2= 12-2 =10

A doesn't work as the answer is 20

C doesn't work as the answer is 14

D doesn't work as the answer is -20

3 0

3 years ago

Simplify the expression.<br> -2.4f + 0.3f-16 - 3<br> -2.4f + 0.3f-16 -3=

laila [671]

Answer:

-2.1f-18

Step-by-step explanation:

-2.4f+0.3f=-2.1f.

-16-3=-19

3 0

3 years ago