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Montano1993 [528]
3 years ago
9

Michelle went shopping for some clothes and found a pair of slacks that cost

Mathematics
1 answer:
rjkz [21]3 years ago
7 0

Answer:

The sirt cost $7.5 before tax.

Step-by-step explanation:

Since the pair of slacks cost twice as much as the shirt, we have:

slacks = 2*shirt

And the total purchase was $22.5, so we have:

slacks + shirt = 22.5

We can create a system of equations such as:

slacks = 2*shirt

slacks + shirt = 22.5

If we apply the first formula on the second we can solve for the value of the shirt, we have:

2*shirt + shirt = 22.5

3*shirt = 22.5

shirt = 22.5/3 = 7.5

So the slacks cost:

slacks = 2*7.5 = 15

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] It is claimed that 42% of US college graduates had a mentor in college. For a sample of college graduates in Colorado, it was
Bad White [126]

Answer:

z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930  

The p value for this case would be given by:

p_v =P(z>3.930)=0.0000443  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

Step-by-step explanation:

Information given

n=1045 represent the random sample selected

X=502 represent the college graduates with a mentor

\hat p=\frac{502}{1045}=0.480 estimated proportion of college graduates with a mentor

p_o=0.42 is the value that we want to test

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:  

Null hypothesis:p \leq 0.42  

Alternative hypothesis:p > 0.42  

The statistic is given by:

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

Replacing the info we got:

z=\frac{0.480 -0.42}{\sqrt{\frac{0.42(1-0.42)}{1045}}}=3.930  

The p value for this case would be given by:

p_v =P(z>3.930)=0.0000443  

For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42

7 0
3 years ago
Add 7 plus 8, then add a to the result. Write an expression for the sequence of operations described.
Ipatiy [6.2K]

Answer:

(7 + 8) + a is your answer

4 0
2 years ago
What is an equation of the line that passes through the points (-2, 1) and (-8, 4)?
goldenfox [79]
<h2>Answer:   y =  - ¹/₂ x    OR  y - 1 = - ¹/₂ (x + 2)   </h2>

<h3>Step-by-step explanation:  </h3>

        For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:  

       The question gives us two points, (-2, 1) and (-8, 4), from which we can find the slope and later the equation of the line.

<u>Finding the Slope  </u>

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)    

                                         =  (4 - 1) ÷ (-8 - (-2))  

                                         =   - ¹/₂  

<u>Finding the Equation</u>  

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                 ⇒  y - 1 =   - ¹/₂ (x - (-2))

                                  ∴  y - 1 = - ¹/₂ (x + 2)

  we could also transform this into the slope-intercept form ( y = mx + c)  

                                   since  y - 1 = - ¹/₂ (x + 2)

                                           ⇒     y =  - ¹/₂ x  

       

<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>

7 0
2 years ago
Peter uses unit cubes to build a figure in the shape of the letter X what is the fewest unit cubes that Peter can use to build t
lozanna [386]
I am not sure I am right but I think it depends on the size of the X.

4 0
3 years ago
In a class, 40% of the students are boys. There are 22 boys in the class. How many students are in the class?
Readme [11.4K]
40/100 = 22/x
40x = 2200
x = 55
There are 55 students in this class.

6 0
3 years ago
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