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
X will be the speed of species b and 4x will be the speed of species a:
x + 4x = 180
5x = 180
x = 180 / 5
x = 36 m/h
If species b has a speed of 36 m/h, the speed of species a is 4 times that:
4 x 36 = 144 m/h.
Answer:

Hope it helped,
Happy homework/ study/ exam!
Answer:
x = 33
Step-by-step explanation:
sin 29° = 16/x
x = 33
Answer:
-86
Step-by-step explanation:
-8((-11/4)-8)
((11/4-8)
8x(-43/4)
-2×43=-86