Answer:
a) -1.25
b) 0.2112
c) -1.96
Step-by-step explanation:
Data provided in the question:
Sample size, n = 400
H0 : p = 20
= 175
Now,
a) The test statistic is given as:
Z = 
on substituting the respective values, we get
Z = 
= -1.25
b) The p-value = 2 × P(Z <-1.25)
Now from the standard normal table
P(Z <-1.25) = 10.56% = 0.1056
Thus,
p-value = 2 × 1056 = 0.2112
c) for a = 0.05,
the critical value is 
i.e 
Now from standard normal table
= -1.96
5x+128 should be it. 65+75=140. 140-12=128. you can't do anything to the x because they're not common terms so you leave it at that.
Answer:
254.34 in^2
Step-by-step explanation:
C = 18(3.14)
C = 56.52
A = C^2/4(3.14)
A = (56.52)^2 = 3194.5104
A = 3194.5104/4(3.14) = 254.34
Hope this makes sense
Answer:
A. AB
Step-by-step explanation:
Given that the musical instrument has a shape of ∆ABC, we can determine the shortest side that would be parallel to the ground by comparison of the 3 angles of the triangle corresponding to each side that is opposite each of them.
What this means is that, the larger angle would have the largest side opposite it. The medium angle will have medium length side opposite it, while the smallest angle will have the smallest side opposite it.
m < A = 59°
m < C = 57°
m < C = 180 - (59+57) (sum of angles in a triangle)
m < C = 64°
The smallest angle out of the three angles is angle C = 57°.
The side opposite it, is side AB.
Side AB is the shortest side of ∆ABC.
Therefore, AB should be parallel to the ground.
Answer:
multiply -1.25 x 12
Sense a negative and a positive will always be negative when dealing with multiplication you'll get -15
now -15 +651= 636
always take the sign of the biggest number.
