Answer: a) (0.755, 0.925)
Step-by-step explanation:
Let p be the population proportion of 8th graders are involved with some type of after school activity.
As per given , we have
n= 100
sample proportion:
Significance level :
Critical z-value : (using z-value table)
Then, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity will be :-
i.e.
i.e.
i.e.
Hence, the 98% confidence interval that estimates the proportion of them that are involved in an after school activity : a) (0.755, 0.925)
Answer:
16 feet height of the arch at a distance of 30 feet from the center
Step-by-step explanation:
Given data
span = 100 feet
height = 20 feet
to find out
the height of the arch at a distance of 30 feet from the center
solution
we know the equation of elliptical i.e.
x²/a² + y²/b² = 1 ......................1
from question we can say that length of major axis i.e
2a = 100
so a = 50
and height is
b = 20
so put a and b in equation 1
x²/a² + y²/b² = 1
x²/50² + y²/20² = 1
x²/2500 + y²/400 = 1
y²/400 = 1 - x²/2500
y / 20 =
y = 20
so now take value 30 for function f(30)
f(30) = 20
f(30) = 20
f(30) = 16 feet
so 16 feet height of the arch at a distance of 30 feet from the center
Yes because when you do 2.00x2.50=10.4 then you need to do 10.4x40=416 so she will have over $90
Answer: 4,1 read carefully
Step-by-step explanation:
6. No, the conclusions wrong because 20 out of 50 peoples favourite is drawing which means 20/50 which equals 0.4 times 100 which is 40% not 60%
7. Yes, the conclusion is right because 5/50 is equal to 0.1 times 100 which is 10%