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2 years ago

Solve the compound inequality 6b < 24 or 4b + 12 > 4.

Mathematics

2 answers:

PolarNik [594]2 years ago

7 0

Yep :) The answer is A

tino4ka555 [31]2 years ago

3 0

Part 1:
$6b\ \textless \ 24
$
$\frac{6b}{6} \ \textless \ \frac{24}{6}$
$b\ \textless \ 4$
Part 2:
$4b+12\ \textgreater \ 4$
$4b+12-12\ \textgreater \ 4-12$
$4b\ \textgreater \ -8$
$\frac{4b}{4}\ \textgreater \ \frac{-8}{4}$
$b\ \textgreater \ -2$
therefore the answer is...
$b\ \textless \ 4$ or $b\ \textgreater \ -2$

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inysia [295]

Hi,

To find the number of small cylinders that fit inside the big cylinder. You need to divide volume of small cylinder with the volume of big cylinder. We do this by using formula to calculate volume of cylinder:

$v = \pi \times {r}^{2} \times h$

To find radius just divide diameter with 2.

$v = \pi \times {2}^{2} \times 6 \\ v = \pi \times 4 \times 6 \\ v = \pi \times 24 \\ v = 3.14 \times 24 \\ v = 75.4 {cm}^{3}$

Now just division:

$28260 \div 75.4 = 374.8$

Answer: You could fit 374.8 smaller cylinders inside a big cylinder.

Hope this helps.
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2 years ago

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Step-by-step explanation:

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A volleyball player sets the ball in the air, and the height of the ball after t seconds is given in feet by h= -16^2+12t+6. A t

pychu [463]

Answer:

Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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Read 2 more answers

A food distributor is being sued for racial discrimination because 12% of newly hired candidates are not white when 53% of all a

Musya8 [376]

Answer:

Check Explanation

Step-by-step explanation:

A) The null hypothesis would be that the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white & there is no significant evidence that the company's hiring practices are discriminatory.

Mathematically,

H₀: μ₀ = 0.53

And the alternative hypothesis would be that there is a significant difference between the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white. More specifically, that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white & there is significant evidence that the company's hiring practices are indeed discriminatory.

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Hₐ: μ₀ < 0.53

B) The two errors that can come up in this hypothesis testing include -

Type I error: We reject the null hypothesis because we obtain that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white and conclude that there is indeed significant evidence that the company's hiring practices are discriminatory when in reality, there is no significant difference and hence, no discrimination.

Type II error: We accept the null hypothesis (fail to reject the null hypothesis) because we obtained that there is no significant difference between the proportion of newly hired candidates that are not white & th proportion of applicants that are not white and conclude that there is no discrimination in the company's hiring practices when in reality, there is significant difference in the stated proportions above and significant evidence that there is indeed significant evidence that the company's hiring practices are discriminatory.

C) The power of the test increases as the significance level reduces. This is because t-statistic increases as significance level reduces.

D) The standard error of the mean used in computing the t-score is given as

σₓ = (σ/√n)

It is evident that as the value of n increases, the standard error reduces and this widens the effect of the test, hence, the power of the test increases.

Hope this Helps!!!

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