Answer:
11 and 51
Step-by-step explanation:
1 technically isn't a prime since a prime can only be divided by two things (itself and 1) and 1 can only be divided by 1.
21 can be divided by 1, 3, 7, and 21 so it is not prime.
Hope this helps!
Answer:
7. 2355 m
8. 1570 km
9. 157 cm
10. 40.82 m
Step-by-step explanation:
The circumference of a circle is pi * diameter or 2 * pi * radius.
If you are given the diameter, just multiply it by pi, 3.14.
If you are given the radius, then multiply the radius by 2 and then by pi, 3.14.
7. d = 750 m
circumference = pi * d = 3.14 * 750 m = 2355 m
8. d = 500 km
circumference = pi * d = 3.14 * 500 km = 1570 km
9. r = 25 cm
circumference = 2(pi)r = 2 * 3.14 * 25 cm = 157 cm
10. r = 6.5 m
circumference = 2(pi)r = 2 * 3.14 * 6.5 m = 40.82 m
Answer:
a) Null hypothesis:
Alternative hypothesis:
b) 
c)
d)
e) For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12
Step-by-step explanation:
Information given
n=1000 represent the random sample selected
X=134 represent the number of young drivers ages 18 – 24 that had an accident
estimated proportion of young drivers ages 18 – 24 that had an accident
is the value that we want to verify
represent the significance level
Confidence=95% or 0.95
z would represent the statistic
Alternative hypothesis:
The statistic would be given by:
(1)
Part b
For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.05 of the area in the right and we got:

Part c
For this case the statistic would be given by:
Part d
The p value can be calculated with the following probability:
Part e
For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12
Answer:
see explanation
Step-by-step explanation:
Given f(x) then f(x - 2) represents a horizontal translation of f(x) shifted 2 units to the right, thus
The marked points on f(x) → f(x - 2) are
(0, 0 ) → (2, 0 )
(2, 4 ) → (4, 4 )
(3, 9 ) → (5, 9 )
Answer:
81
Step-by-step explanation: