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Luba_88 [7]
2 years ago
15

Find the Area of the Shaded Region.

Mathematics
1 answer:
agasfer [191]2 years ago
3 0

Answer:

I think it should be 32

Step-by-step explanation:

11 x 7= 77

9 x 5=45

77-45=32

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For which value or values are the expressions 15k + 9 and 3(2k + 3) + 9k equivalent? A) no values B) 3 C) 3,5 and 8 or D) all va
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15k + 9 = 3(2k + 3) + 9k
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3 years ago
It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat
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Answer:

Step-by-step explanation:

Given that :

population mean μ = 120

sample size n = 37

sample mean x = 111

standard deviation = 21

The null hypothesis and the alternative hypothesis can be computed as:

The null hypothesis:

\mathbf{ H_o: \mu = 120 }

The alternative hypothesis:

\mathbf{ H_o: \mu \neq 120 }

Since this test is two-tailed,  the value for the test statistics can be computed as:

z = \dfrac{\overline x - \mu}{\dfrac{\sigma }{\sqrt{n}}}

z = \dfrac{111 - 120}{\dfrac{21}{\sqrt{37}}}

z = \dfrac{-9}{\dfrac{21}{6.08}}

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z = -2.61

Since this is a two-tailed test

P-value = 2(z < -2.61)

From the z table;

P-value = 2(0.0045)

P -value = 0.009

Decision rule: To reject the null hypothesis if the p-value is lesser than the level of significance

Conclusion: We reject the null hypothesis since the p-value is lesser than the level of significance. Thus, there is sufficient evidence to conclude that the average breaking distance differs from 120 feet.

7 0
3 years ago
A pack of Pokemon cards contains 10 trading cards. Chase received 3 packs for his birthday and shared them equally with his brot
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Step-by-step explanation:

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Area of the rhombus shown below?
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Answer:

A

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Here AC = 13 and BD = 15 are the diagonals, hence

A = 0.5 × 13 × 15 = 97.5 units² → A

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3 years ago
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