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2 years ago

Find the volume of the rectangular prism.

Mathematics

2 answers:

sp2606 [1]2 years ago

4 0

Hey there!! :D

I believe the answer is D. 576 cm3

Glad I Could Be Of An Assistance

Please Correct Me If I Am Incorrect :P

My Apologies Are Given :D

Hope this helps!!

Have A Marvelous Friday!!

Have An Outstanding Weekend!!

Bond [772]2 years ago

3 0

The equation for the volume of a rectangular prism is:
V = lwh
where V = volume, l = length of base, w = width of base, and h = height of the prism.

From your picture, you can see that the length, l = 16cm, width, w = 9cm, and the height of the prism, h = 4cm. Plug these numbers into the equation and solve for volume:
$V = lwh\\
V = (16\:cm)(9\:cm)(4\:cm)\\
V = 576 \: cm^3$

--------

Answer: D) 576 cm^3

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Answer:

$W=\dfrac{P}{2}-L$

Step-by-step explanation:

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2 years ago

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Answer:

Null hypothesis: $p\leq 0.35$

Alternative hypothesis: $p > 0.35$

$z=\frac{0.447 -0.35}{\sqrt{\frac{0.35(1-0.35)}{150}}}=2.491$

$p_v =P(z>2.491)=0.0064$

So the p value obtained was a very low value and using the significance level assumed $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of applicants who request financial aid is significantly higher than 0.35

Step-by-step explanation:

Data given and notation

n=150 represent the random sample taken

X=67 represent the applicants who request financial aid

$\hat p=\frac{67}{150}=0.447$ estimated proportion of applicants who request financial aid

$p_o=0.35$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion of applicants who request financial aid is higher than 0.35.:

Null hypothesis: $p\leq 0.35$

Alternative hypothesis: $p > 0.35$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.447 -0.35}{\sqrt{\frac{0.35(1-0.35)}{150}}}=2.491$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>2.491)=0.0064$

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2 years ago