Answer:
Step-by-step explanation:
factor each term into powers of primes
75 = 3×5²
20 = 2²×5
Greatest common factor = 5
75+20 = 5(15+4)
Answer:
m∠RPQ = 8°
Step-by-step explanation:
m∠QRS = 4x - 15
m∠RPQ = x + 1
m∠PQR = x - 2
m∠QRS is exterior angle and m∠RPQ and m∠PQr are opposite interior angles to m∠QRS
m∠QRS = m∠RPQ + m∠PQR {Exterior angle property of triangle}
4x - 15 = x +1 + x - 2
4x - 15 = x + x + 1-2 {Combine like terms}
4x - 15 = 2x - 1 {Subtract 2x from both sides}
4x - 2x - 15 = - 1
2x - 15 = - 1 {Add 15 to both sides}
2x = -1 + 15
2x = 14 {Divide both sides by 2}
x = 14/2
x = 7
m∠RPQ = x + 1 = 7 + 1 = 8°
Answer:
If she returns the skis at 3 p.m. she would pay $25. IM NOT SURE ABOUT 3:05 PM
Step-by-step explanation:
Start on the hours rented side. If she rents them at noon you would be at zero. Move to the 3 (in between 2 and 4) then if you go up it hits $25 on the rental cost side.
Answer:
An 99% confidence interval of the given proportion
(0.355 , 0.385)
Step-by-step explanation:
Given sample size n= 900
the number of successes in the sample is x=333
The proportion P = 
Q = 1-P =1 - 0.37 = 0.63
<u>Confidence interval</u>:-
99% of confidence interval zα = 2.93


(0.37 - 0.015 , 0.37 + 0.015)
(0.355 , 0.385)
<u>Conclusion</u>:-
<u>An 99% Confidence interval (0.355 , 0.385)</u>
Answer:
Step-by-step explanation:
The have the same slope, -1, but different y-intercepts. The lines are parallel.