Answer:
30% of 30 = 9
28% of 32 = 8.96
Step-by-step explanation:
0.30 x 30 = 9
0.28 x 32 = 8.96
Answer:
Z= 0.253
Z∝/2 = ± 1.96
Step-by-step explanation:
Formulate the null and alternative hypotheses as
H0 : u1= u2 against Ha : u1≠ u2 This is a two sided test
Here ∝= 0.005
For alpha by 2 for a two tailed test Z∝/2 = ± 1.96
Standard deviation = s= 15
n= 10
The test statistic used here is
Z = x- x`/ s/√n
Z= 2058- 2046 / 15 / √10
Z= 0.253
Since the calculated value of Z= 0.253 falls in the critical region we reject the null hypothesis.
There is evidence at the 0.05 level that the doors are too short and unusable.
Answer:

Step-by-step explanation:
Perimeter of the rectangle= 1144 feet
Length=3*Width
L=3*W
Perimeter of rectangle:

The Dimension of the rectangle is :

A company publishes statistics concerning car quality. The initial quality score measures the number of problems per new car sold. For one year, Car A had 1.26 problems per car. Let the random variable X be equal to the number of problems with a newly purchased model A car. Complete (a) and (b) below.
a. If you purchased a model A car, what is the probability that the new car will have zero problems? The probability that the new model A car will have zero problems is :___ (Round to four decimal places as needed.)
b. If you purchased a model A car, what is the probability that the new car will have two or fewer problems? The probability that a new model A car will have two or fewer problems is :___ (Round to four decimal places as needed.)
Hope this helps you find your answer
Answer:
1) From the measure of 40°, you can write:
tan(40°) = 100/x, where x is the base from the building to the tower
⇒x=100/tan(40°) = 119,18 m
2) From the measure of 30°, you can write
tan(30°) = y / 119,18, where y is the height from the roof of Jill's building to the top of the tower.
Then, y = tan(30°) * 119,18 = 68,81 m
3) The height of Jill's building is 100 - 68,81 = 31,19 m