High School is selling tickets to its Spring Concert. Adult tickets cost $4 and student tickets cost $2.50. The school sold 800
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Answer:
166 square units
Step-by-step explanation:
Let’s find the area of the shapes that in the net.
First, we can see two of the triangles have a base of 2 and a height of 13. The formula for surface area of a triangle is bh÷2. (13x2)÷2=13. Since there are two triangles, we multiply 13 by 2 and get <u><em>26</em></u>.
Second, we can see two of the triangles have a base of 10 and a height of 12. (10x12)÷2=<u>60.</u> Since there are two triangles, we multiply 60 by 2 and get <u>120</u>.
Third, we can see a rectangle has a base of 10 and a height of 2. The formula for surface area of a rectangle is bh. 10x2=<u>20</u>.
Last, we add up all the areas:
20+120+26=166.
Answer:
The degrees of freedom are given by:
The p value for this case is given by:
And for this case the p value is lower than the significance level so we have enough evidence to reject the null hypothesis and then we can conclude that true mean is higher than 55.
Step-by-step explanation:
Information given
We have the following data: 54 55 58 59 59 60 61 61 62 65
The sample mean and deviation can be calculated with the following formulas:
represent the sample mean
represent the sample standard deviation
sample size
represent the significance level
t would represent the statistic
represent the p value
System of hypothesis
We want to test if the true mean is higher than 55, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Replacing the info given we got:
(1)
And replacing the info given we got:
The degrees of freedom are given by:
The p value for this case is given by:
And for this case the p value is lower than the significance level so we have enough evidence to reject the null hypothesis and then we can conclude that true mean is higher than 55