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Maslowich
2 years ago
10

I need help with this

Mathematics
1 answer:
Aloiza [94]2 years ago
6 0

The expression will be given as h(8) = -0.3(8-5)²+7.5 the value of the function h(8) will be 6.3 feet.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

  • The function is h(x) = -0.3( x - 8)² +7.5

Now from the question when the boy jumped from a certain height he lands 8 feet farther away this condition will be expressed in the expression as follows:-

h(x) = -0.3( x - 8)² +7.5

Put x = 8 feet as

h(8) = -0.3(8-5)²+7.5

h(8) = -0.3 ( 3 )² + 7.5

h(8) = -2.7 + 9

h( 8 ) =  6.3 feet

Therefore expression will be given as h(8) = -0.3(8-5)²+7.5 the value of the function h(8) will be 6.3 feet.

To know more about expression follow

brainly.com/question/723406

#SPJ1

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4 years ago
A data set lists earthquake depths. The summary statistics are
irinina [24]

Answer:

Step-by-step explanation:

The summary of the given statistics data include:

sample size n = 400

sample mean \overline x = 6.86

standard deviation = 4.37

Level of significance ∝ = 0.01

Population Mean \mu = 6.00

Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

To start with the hypothesis;

The null and the alternative hypothesis can be computed as :

H_o: \mu = 6.00 \\ \\  H_1 : \mu \neq 6.00

The test statistics for this two tailed test can be computed as:

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

z= \dfrac{6.86 - 6.00}{\dfrac{4.37}{\sqrt {400}}}

z= \dfrac{0.86}{\dfrac{4.37}{20}}

z = 3.936

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At the level of significance ∝ = 0.01

P -value = 2 × (z < 3.936)  since it is a two tailed test

P -value = 2 × ( 1  - P(z ≤ 3.936)

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P -value = 2 × ( 0.0001)

P -value =  0.0002

Since the P-value is less than level of significance , we reject H_o at level of significance 0.01

Conclusion: There is sufficient evidence to conclude that the original claim that the mean of the population of earthquake depths is  5.00 km.

7 0
3 years ago
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