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marshall27 [118]
2 years ago
15

What is the volume of the following rectangular prism?

Mathematics
1 answer:
sineoko [7]2 years ago
7 0

Answer:

Step-by-step explanation:

It's going to be a mixed number.

Givens

L = 4 units

w*h = 2 1/8 units^2

V=L* (w*h)

V = 4 * (2 1/8)

V = 8 1/2

Where did the 1/2 come from?

You could write 2 1/8 as 2 + 1/8 and use the distributive property.

4(2 + 1/8)

4*2 + 4 * 1/8

8 + 4/8

4/8 = 1/2

8 1/2

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!!Help Please!!<br> Find cos 0 20 16 12
statuscvo [17]

Answer:

the answer is 58 degrees (rounded) I have done a step by step explanation below.

Step-by-step explanation:

hope this helps...

8 0
3 years ago
An NBA fan named Mark claims that there are more fouls called on his team 1 point
inn [45]

Answer:

t=\frac{12.2-11.5}{\frac{1.6}{\sqrt{34}}}=2.551    

df = n-1=34-1=33

p_v =P(t_{(33)}>2.551)=0.008  

Since the p value is less than the significance level of 0.05 we have enough evidence to reject the null hypothesis in favor of the claim

And the best conclusion for this case would be:

b)The p-value is 0.008, indicating sufficient evidence for his claim.

Step-by-step explanation:

Information provided

\bar X=12.2 represent the sample mean fould against

s=1.6 represent the sample standard deviation

n=34 sample size  

represent the value that we want to test

\alpha=0.05 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is higher than 11.5 fouls per game:  

Null hypothesis:\mu \leq 11.5  

Alternative hypothesis:\mu > 11.5  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

The statistic is given by:

t=\frac{12.2-11.5}{\frac{1.6}{\sqrt{34}}}=2.551    

P value

The degreed of freedom are given by:

df = n-1=34-1=33

Since is a one side test the p value would be:  

p_v =P(t_{(33)}>2.551)=0.008  

Since the p value is less than the significance level of 0.05 we have enough evidence to reject the null hypothesis in favor of the claim

And the best conclusion for this case would be:

b)The p-value is 0.008, indicating sufficient evidence for his claim.

7 0
3 years ago
Reasoning triangle $abc$ has a perimeter of $12$ units. the vertices of the triangle are $a(x,\ 2),\ b(2,-2)$ , and $c(-1,\ 2)$
OlgaM077 [116]

hmmm let's find the distance between B and C first off.

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad C(\stackrel{x_2}{-1}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{(~~-1 - 2~~)^2 + (~~2 - (-2)~~)^2} \implies BC=\sqrt{(-1 -2)^2 + (2 +2)^2} \\\\\\ BC=\sqrt{( -3 )^2 + ( 4 )^2} \implies BC=\sqrt{ 9 + 16 } \implies BC=\sqrt{ 25 }\implies BC=5

hmmm if BC is that much, then AB + AC = 7, since AB + AC + BC = 12 which is the perimeter, Check the picture below.

6 0
1 year ago
What is the mix number of 22/3
viva [34]
The answer is 7 1/3 hope it helps!
4 0
3 years ago
Read 2 more answers
Enter the equation in standard form. y=9/3x-5/3
Marianna [84]
<span>y = 9/3 x - 5/3
3y = 9x - 5
9x - 3y = 5 ...<----this is standard form</span>
3 0
3 years ago
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