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andre [41]
3 years ago
7

What is the solution to the proportion 6/10 = 9/x A. 30 B. 15 C. 13 D. 5.4

Mathematics
2 answers:
stiks02 [169]3 years ago
7 0
6/10 - 9/x = ?

9/x (simplify )

6/10 - 9/x = ?

3/5 (simplify this as well)

3\5 - 9/x=?

L (denominator) : 5

R (denominator): x

LCM (Least common multiple): 5(x)

Switch the denominators around

L(denominator): x

R(denominator): 5

3(x) - 45 / 5(x)

3(x) ➡3(x - 15)

3(x) - 15 / 5 (x) = ?

3(x) - 15 = ?

3 = ? (lets solve this problem)

x - 15 = ?

Now, lets add ( + ) the number 15 from each of the side sides of the problem that is shown above. (x - 15 = ?)

Finally, we get our result of this problem

x = 15



sammy [17]3 years ago
5 0
The answer is B 15.....

First flip both side: 10/6 = x/9
Find for x:
(10/6) = ×/9
(10/6)×9 = x
x = 15
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Llana [10]

Answer:

As the <em>p</em>-value is too small the null hypothesis will be rejected concluding that there is a higher proportion of people supporting the home team.

Step-by-step explanation:

The hypothesis to determine which team spectators at a football game support is:

<em>H₀</em>: There are equal proportions of people supporting the home team and the visiting team, i.e. <em>p</em>₁ = <em>p</em>₂.

<em>Hₐ</em>: There is a higher proportion of people supporting the home team than the visiting team, i.e. <em>p</em>₁ > <em>p</em>₂.

A <em>z</em>-test for difference between proportions can be used to perform the test.

The test statistic is:

z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{P(1-P)\frac{1}{n_{1}}+\frac{1}{n_{2}}}}}

Th decision rule is:

If the <em>p</em>-value of the test is less than the significance level <em>α </em>then the null hypothesis will be rejected and vice-versa.

The commonly used significance levels are 0.01, 0.05 and 0.10.

The <em>p</em>-value of the test is computed as, <em>p</em> = 0.002.

The <em>p</em>-value of the test is less than all the significance level.

Thus, the null hypothesis will be rejected at any of the three significance level.

Conclusion:

As the <em>p</em>-value is too small the null hypothesis will be rejected concluding that there is a higher proportion of people supporting the home team.

7 0
4 years ago
One house sitter charges $40 a day. Another house sitter charges an initial fee of $100 plus $15 per day. After how many days is
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Answer:

4

Step-by-step explanation:

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15x4=60, btw

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Step-by-step explanation:

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O<br> ZA<br> Round your answer to the nearest hundredth.<br> 8<br> с<br> B<br> ?<br> 2<br> А
almond37 [142]

Answer:

75.96 Degrees

Step-by-step explanation:

Use the trigonometric functions of Sine Cosine and Tangent

(SOH CAH TOA)

The unknown angle is near the adjacent side of 2 and the opposite side of 8

Therefore you use the Tangent function

However, since it's the angle that needs to be found, you need to use Arc Tangent (The inverse operation)

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