Answer:
Step-by-step explanation:
Answer:
60 degrees and 30 degrees
Step-by-step explanation:
let the angles be x and y
we are given that the angles are complementary (i.e they sum up to 90 degrees). Hence we can write the first equation:
x + y = 90 ------(eq 1)
we are also given that the difference between the two angles is 30 degrees). Similarly we can write
x - y = 30 ------(eq 2)
now we have a system of 2 equations with 2 unknowns, which we can solve by elimination:
eq 1 + eq 2:
(x + y) + (x - y) = 90 + 30
2x = 120 (divide both sides by 2)
x = 120/2
x = 60 deg (substitute this back into eq 1)
x + y = 90
60 + y = 90 (subtract 60 from both sides)
y = 90 - 60
y = 30 deg.
Answer:
B. Variable terms
Step-by-step explanation:
The 4 and -7 both have an x on them. The x is a variable.
Answer:
a) In the explanation.
b) P=0.09714
c) P=0.0866
d) p=0.208
Step-by-step explanation:
a) The sampling distribution will have this properties:
1 - The sampling distribution of a proportion is equal to the binomial distribution.
2 - The mean of the sampling distribution will be equal to the proportion of the population (0.328).

3 - The standard deviation will be equal to the square root of the product of the proportion and its complementary, divided by the sample size.

B) The fraction with sample proportion of 0.45 or higher is

C) The fraction with sample proportion of 0.20 or lower is

D) The value of p that cuts off the lower 10% of the distribution corresponds to z=-1.28.
Then we have
