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Luda [366]
3 years ago
6

Find the rate of change of the function. ​

Mathematics
1 answer:
Mila [183]3 years ago
6 0
The answer is B

Step by step explanation:

8.0
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Some transportation experts claim that it is the variability of speeds, rather than the level of speeds, that is a critical fact
scZoUnD [109]

Answer:

Explained below.

Step-by-step explanation:

The claim made by an expert is that driving conditions are dangerous if the variance of speeds exceeds 75 (mph)².

(1)

The hypothesis for both the test can be defined as:

<em>H</em>₀: The variance of speeds does not exceeds 75 (mph)², i.e. <em>σ</em>² ≤ 75.

<em>Hₐ</em>: The variance of speeds exceeds 75 (mph)², i.e. <em>σ</em>² > 75.

(2)

A Chi-square test will be used to perform the test.

The significance level of the test is, <em>α</em> = 0.05.

The degrees of freedom of the test is,

df = n - 1 = 55 - 1 = 54

Compute the critical value as follows:

\chi^{2}_{\alpha, (n-1)}=\chi^{2}_{0.05, 54}=72.153

Decision rule:

If the test statistic value is more than the critical value then the null hypothesis will be rejected and vice-versa.

(3)

Compute the test statistic as follows:

\chi^{2}=\frac{(n-1)\times s^{2}}{\sigma^{2}}

    =\frac{(55-1)\times 94.7}{75}\\\\=68.184

The test statistic value is, 68.184.

Decision:

cal.\chi^{2}=68.184

The null hypothesis will not be rejected at 5% level of significance.

Conclusion:

The variance of speeds does not exceeds 75 (mph)². Thus, concluding that driving conditions are not dangerous on this highway.

7 0
3 years ago
Complete the conversion <br> 45 ft = ____yd
ASHA 777 [7]

Answer:

15 yards

Step-by-step explanation:

5 0
3 years ago
Why must eye protection be worn at all times in welding shop?
kati45 [8]
Because of the ligting of the machine and you can go blind if theres no eye protection
4 0
3 years ago
Read 2 more answers
The amount of potential energy, P, an object has is equal to the product of its mass, m, its height off the ground, h, and the g
shepuryov [24]
Your answer should be B) p\mg=h just divide
6 0
3 years ago
Read 2 more answers
Please help me on problem 5
kirill115 [55]
So,

The chart tells us that the people that registered for soccer is 45.
The chart also tells us that the people that registered for basketball is 35.

45 - 35 = 10

10 more people registered for soccer than for basketball.
6 0
3 years ago
Read 2 more answers
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