Answer:
3. x=16
4. x=51
Step-by-step explanation:
3. 3x-8=x+24
2x=32
x=16
4. 2/3(x+27)= 180-(3x-25)
2/3x+18=180-3x+25
11/3x=187
11x=561
x=51
Number 3: need more info
Number 4: is 337.5.
- first we need i\to find how much one case costs. $45/2 = $22.5
- next multiply $22.5 x 15 which gets you $337.50
Number 5: is 65%
- 100% divided by 3,100 is .03225806
- then multiply .023225806 by 1085 which gets you 35%
- but because it is asking for the remaining it is 100% - 35% which is 65%
Answer:
The value of the test statistic is 
Step-by-step explanation:
The null hypothesis is:

The alternate hypotesis is:

Our test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
In this problem, we have that:

Then



The value of the test statistic is 
The number of ways when the choice is not relevant is 4
<h3>How to determine the number of ways?</h3>
The number of colors are:
Colors, n = 4
The color to choose are:
r = 3
<u>Relevant choice</u>
When the choice is relevant, we have:

This gives

Evaluate
Ways = 24
Hence, the number of ways when the choice is relevant is 24
<u>Not relevant choice</u>
When the choice is not relevant, we have:

This gives

Evaluate
Ways = 4
Hence, the number of ways when the choice is not relevant is 4
Read more about combination at:
brainly.com/question/11732255
#SPJ1
Answer:
Height of rectangular prism = 11 inches
Step-by-step explanation:
Given that:
Volume of rectangular prism = 572 cubic inches
Length of prism = 4 inches
Width of prism = 13 inches
Volume of prism = Length * Width * Height
572 = 4 * 13 * h
572 = 52h
52h = 572
Dividing both sides by 52

Hence,
Height of rectangular prism = 11 inches