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posledela
3 years ago
14

i really need help with this oneeeee.Mickey went to the mall to buy new sneakers. the store was having a 60% off sale. Mickey pa

id $72 after the discount was taken off the price of the sneakers. What was the original price of the sneakers?
Mathematics
1 answer:
Ray Of Light [21]3 years ago
3 0

Answer:

180                                                  

Step-by-step explanation:

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An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles per gallon) decides to carry ou
Katyanochek1 [597]

Answer:

t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17  

p_v =P(t_{(5)}  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.  

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

Step-by-step explanation:

Data given and notation  

The mean and sample deviation can be calculated from the following formulas:

\bar X =\frac{\sum_{i=1}^n x_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)}{n-1}}

\bar X=29.35 represent the sample mean  

s=1.365 represent the sample standard deviation  

n=6 sample size  

\mu_o =30 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)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is lower than 30 or no, the system of hypothesis are :  

Null hypothesis:\mu \geq 30  

Alternative hypothesis:\mu < 30  

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17  

P-value  

We need to calculate the degrees of freedom first given by:  

df=n-1=6-1=5  

Since is a one-side left tailed test the p value would given by:  

p_v =P(t_{(5)}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.  

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

5 0
3 years ago
What is the length of the diagonal of a monitor that is 5 inches wide and 12 inches high
DerKrebs [107]

Answer:

so draw out a graph

Step-by-step explanation:

12-                                      

11-

10-

9-

8-

7-

6-

5-

4-

3-

2-

1-

      [          [        [        [        [

      1        2        3       4       5

5 0
3 years ago
Read 2 more answers
A liquid is 45°C. The temperature needs to be reduced by 3/8 of the current value. What does the new temperature need to be?
prohojiy [21]

Answer:

28.125 degrees

Step-by-step explanation:

3/8 of 45 is 16.875

45-16.875=28.125

7 0
3 years ago
Which of the following is an equation of the line that passes through the point (2, 2) and is parallel to the graph of the equat
pickupchik [31]

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 1 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (2, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = 3x - 4 → B

4 0
3 years ago
Read 2 more answers
The drama club spent $35 on decorations and $8.50 per person on food for a cast party. The total cost of the food
jenyasd209 [6]

Answer:

Option C) 27 people

Step-by-step explanation:

Let

x ----> the number of people

we know that

The cost of decorations ($35) plus the number of people (x) multiplied by the cost per person on food ($8.50) must be equal to $264.50

so

The linear equation that represent this situation is

35+8.50x=264.50

solve for x

Subtract 35 both sides

8.50x=264.50-35

8.50x=229.50

Divide by 8.50 both sides

x=229.50/8.50

x=27\ people

5 0
3 years ago
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