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navik [9.2K]
3 years ago
6

Dani helps out at the community center

Mathematics
1 answer:
e-lub [12.9K]3 years ago
5 0

Answer:

I think she volunteers this week.

Step-by-step explanation:

She says she does and she never said she was busy and there is no reason to think that she didn't.

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A positive number is 30 less than its square. Find the number.
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<span><span>x = x^2 - 30

or

x^2 - x - 30 = 0
Factors to
(x-6)(x+5) = 0

x = +6 is the positive number</span></span>
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What is the measure of
siniylev [52]

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Hmmmmmmmmmmmmmmmmmmmmmmmmmmm
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\dfrac{6}{7}cd=\dfrac{6}{7}\cdot c\cdot d\\\\Factors:\ \dfrac{6}{7},\ c,\ d\\\\6x^2+7xy+3+9\\\\Constans\ (without\ x\ and\ y):\ 3,\ 9\\\\2x-4y+8=(2x)+(-4y)+(8)\\\\Terms:\ 2x,\ -4y,\ 8

4 0
3 years ago
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.

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