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suter [353]
3 years ago
13

What is the volume of the triangular prism?

Mathematics
1 answer:
Rasek [7]3 years ago
3 0

Answer:

The answer is 480 cubic inches

Step-by-step explanation:

3 times 4 is 12 and 12 times 5 is 60 and 60 time 8 is 480

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Students in a statistics class are conducting a survey to estimate the mean number of units students at their college are enroll
Papessa [141]

Answer:

The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2\frac{1.5}{\sqrt{45}} = 0.4

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 12.1 - 0.4 = 11.7 units

The upper end of the interval is the sample mean added to M. So it is 12.1 + 0.4 = 12.5 units

The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.

8 0
3 years ago
Is 3( x + 4 ) equivalent to 3x + 12?
pochemuha
Yes the equations are equivalent
6 0
3 years ago
Read 2 more answers
Please help me <33333
mariarad [96]
Comment
You have to begin by declaring what g(f(x)) means. It means that wherever you see an x in g(x) you put in f(x).

I
t will look like this to start with
g(f(x)) = (f(x) + 5) / (f(x) 

Now substitute into this for g(-3)

g(x^2 + 5) = (x^2 + 5 + 5)/(x^2 + 5) It's time to use some numbers.
g(- 3) = ((-3)^2 + 10)/( (-3)^2 +5)
g(-3) = ( 9 + 10 ) / ( 9 + 5)
g(-3) = (19)/14 <<<<<< answer.
C <<<< answer. 
8 0
3 years ago
Find all solutions of the equation in the interval [0,2pi)
irinina [24]

Answer:

{π/4, 5π/4}

Step-by-step explanation:

Tan theta -1=0 could be rewritten as tan Ф = 1.  The tangent function is 1 at Ф = π/4.  As the period of the tangent function is π,

tan Ф = 1 will be true for Ф = π/4 + π, or (5/4)π.

The solution set is {π/4, 5π/4}.

4 0
3 years ago
What is the perimeter of the triangle?<br> unit
FinnZ [79.3K]

Answer:

<h2>36 units</h2><h2></h2>

Step-by-step explanation:

perimeter of the given triangle = 16 + slant (10) + slant (10)

                                                   = 36 units  

(see image below)

7 0
3 years ago
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