Step-by-step explanation:
the AB or hypotenuse seems to be 47.5
Answer:
Step-by-step explanation:
For the null hypothesis,
H0: p = 88
For the alternative hypothesis,
Ha: p < 88
Considering the population proportion, probability of success, p = 0.88
q = probability of failure = 1 - p
q = 1 - 0.88 = 0.12
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 21
n = number of samples = 32
P = 21/32 = 0.66
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.66 - 0.88)/√(0.88 × 0.12)/32 = - 3.83
The corresponding p value would be determined by looking at the normal distribution table for the area below the z score. Therefore,
P value = 0.00006
This kind of problem assumes that the two people working together work for the same amount of time.
Renee can sew a quilt in 16 hours, so she can sew 1/16 of a quilt each hour. Gerena sews a quilt in 12 hours, so she can sew 1/12 of a quilt each hour.
Use the variable t represent the time Renee and Gerena work together (measured in hours). The part of a quilt Renee sews is . the part of the quilt that Gerena sews is
Together, they sew one quilt, so
Multiply all the terms by 48 (the Least Common Multiple of 16 and 12).
hours.
Plug in 2 for x. f(20=2-51 = -49