Answer:
n=13/3
Step-by-step explanation:
n+1=4(n-3)
Open the bracket
n+1=4n-12
Collect like terms
n-4n=-12-1
-3n=-13
Divide both sides by-3
n=13/3
Answer:
the probability of a rating that is between 200 and 275 is 0.4332
Step-by-step explanation:
Given the data in the question;
if an applicant is randomly selected, the probability of a rating that is between 200 and 275
mean μ = 200
standard deviation σ = 50
P( 200 < X < 275 ) = P( X-μ / σ < x-μ / σ < X-μ / σ )
P( 200 < X < 275 ) = P( 200-200 / 50 < x-μ / σ < 275-200 / 50 )
= P( 0/50 < Z < 75/50 )
= P( 0.00 < Z < 1.50 )
P(Z < 1.50) - P(Z < 0.0)
from the standard normal table
P(Z < 1.50) = 0.9332
P(Z < 0.0) = 0.5000
so
P( 200 < X < 275 ) = 0.9332 - 0.5000
P( 200 < X < 275 ) = 0.4332
Therefore, the probability of a rating that is between 200 and 275 is 0.4332
Answer: 2.5 ft.
Step-by-step explanation: We know that the wall is 10ft and each poster is 1 1/4 ft, so subtract both posters from the wall, 10-2.5 = 7.5, then divide 7.5 by 3 since we need 3 lengths, and we get 2.5ft. So for x, it would be 2.5ft.
x=2.5
Hope this helps!
Answer:
(y+7)²/364 - (x+8)²/364 = 1
Step-by-step explanation:
This is the standard form of a vertical hyperbola (y-k)²/a² - (x-h)²/b² = 1
so, (y²+14y+?) - (x²+16x+?) = 251
(y²+14+49)-49 - (x²+16x+64)-64 = 251
(y+7)² - (x+8)² = 251 + 49 + 64
(y+7)² - (x+8)² = 364
(y+7)²/364 - (x+8)²/364 = 1