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GaryK [48]
3 years ago
7

Write a numerical expression for 6 times the sum of 3 and 7

Mathematics
1 answer:
kompoz [17]3 years ago
6 0

Answer:

6(3+7)

Step-by-step explanation:

i believe that is correct

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Researchers studying starfish collected two independent random samples of 40 starfish. One sample came from an ocean area in the
krek1111 [17]

Answer:

The test statistic for the appropriate test is \frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}.

Step-by-step explanation:

The experiment conducted here is to determine whether there is a difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. north and south.

The hypothesis to test this can be defined as follows:

<em>H₀</em>: There is no difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. <em>p</em>₁ = <em>p</em>₂.

<em>Hₐ</em>: There is a difference in proportion of starfish over 8 inches in length in the two ocean areas, i.e. <em>p</em>₁ ≠ <em>p</em>₂.

The two-proportion <em>z</em>-test would be used to perform the test.

A sample of <em>n</em> = 40 starfishes are selected from both the ocean areas.

It provided that of the 40 starfish from the north, 6 were found to be over 8 inches in length and of  the 40 starfish from the south, 11 were found to be over 8 inches in length.

Compute the sample proportion of starfish from north that were over 8 inches in length as follows:

\hat p_{n}=\frac{6}{40}=0.15

Compute the sample proportion of starfish from south that were over 8 inches in length as follows:

\hat p_{s}=\frac{11}{40}=0.275

The test statistic is:

z=\frac{\hat p_{n}-\hat p_{s}}{\sqrt{P(1-P)[\frac{1}{n_{n}}+\frac{1}{n_{s}}]}}

Compute the combined proportion <em>P</em> as follows:

P=\frac{X_{n}+X_{s}}{n_{n}+n_{s}}=\frac{6+11}{40+40}=0.2125

Compute the test statistic value as follows:

z=\frac{\hat p_{n}-\hat p_{s}}{\sqrt{P(1-P)[\frac{1}{n_{n}}+\frac{1}{n_{s}}]}}

  =\frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}

Thus, the test statistic for the appropriate test is \frac{0.15-0.275}{\sqrt{0.2125(1-0.2125)[\frac{1}{40}+\frac{1}{40}]}}.

8 0
3 years ago
Please help me with this because i don’t understand stand this
Tamiku [17]

Note: complementary angles are two angles whose sum is 90⁰

5 0
2 years ago
Read 2 more answers
1 Sales last year were $88,319. Percent of Increase 0.14. What<br> will it be next year?
Valentin [98]

Answer:

$100,683.66

Step-by-step explanation:

88319 = last years sales

.14 = percent increase

88319 * .14 = 12364.66

12364.66 + 88319 = 100,683.66

next years sales = $100,683.66

7 0
3 years ago
After 10 weeks, how much money would William have in his bank account?
frosja888 [35]
If have to write the full question
7 0
2 years ago
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Give an example of tangents in the real world that have not been presented in this lesson.
german

Answer:

Hey! Sorry im too late lol but here-

Step-by-step explanation:

Example of tangent in the real world-

When a stone gets tied at one end of a string & the other end is rotated, then the stone will form a circle.

How you know the tangent and radius are perpendicular:

The radius is formed vertically and is completely straight, while the tangent is completely straight but horizontal. You can draw a right triangle angle between the radius and tangent line by adding a third line, and a right angle is 90 degrees. So, this forms a perpendicular line.

Hope this helped :))

7 0
3 years ago
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