Answer:
And we can conclude that the true mean for the heights of mens between the ages of 18 to 24 is between 69.44 and 69.7 inches.
Step-by-step explanation:
For this case we have the following sample size n =772 from men recruits between the ages of 18 to 24
represent the sample mean for the heigth
represent the population standard deviation
We want to construct a confidence interval for the true mean and we can use the following formula:
The confidence level is 0.99 or 99%o then the significance level is and and if we find for a critical value in the normal tandar ddistirbution who accumulates 0.005 of the area on each tail we got:
And replacing we got:
And we can conclude that the true mean for the heights of mens between the ages of 18 to 24 is between 69.44 and 69.7 inches.
Answer:
m = 4.5
Step-by-step explanation:
2 = 2m - 7
add 7 to both sides
9 = 2m
divide by 2 on each side
4.5 = m
CHECK:
2 = 2(4.5) -7 (TRUE)
2 · 4.5 = 9
9 - 7 = 2
I hope this helps!
A). 98 aren’t freshman (141-43)
B). 98/184 (add 141 and 43 to find total)
X = 5. Using the pythagreom theorem, a²+b²=c², to solve x we put in the numbers into the equation getting a²+12²=13². Then solve for a. a²=25, 5·5=25, a=5 which means x=5.
The total number of stickers the 2 children had was 192 stickers.
Let x represent Mary initial stickers, y represent Gary initial stickers and z represent the total stickers.
x + y = z
They shared in the ratio of 5:3, hence:
x = (5/8)z
Mary gives 1/3 of her stickers to Gary to have 32 more stickers than her.
(1/3)x = (1/3)(5/8)z = (5/24)z
y + (1/3)x = (2/3)x + 32
Solving equation 1, 2 and 3 gives:
x = 120, y = 72, z = 192
The total number of stickers the 2 children had was 192 stickers.
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