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
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Answer:
pi / 4
Step-by-step explanation:
Circumference = 2pi(R)
pi = 2pi(R)
pi / 2pi = R
1/2 = R
Area= pi(R)^2
A = pi(1/2)^2
A= pi/4
Step-by-step explanation:
SA=ph+2A, that is, perimeter × height+ twice area
p=21+20+29=70cm
h=22cm
70×22=1540cm
A=1/2 ×20×21=210×2=420
1540+420=1960cm2
Answer:
the answer should be x= -7 hope this helps!