Answer:
x=12
Step-by-step explanation:
3x-4=2x+8
-2 +4 -2 +4
x =12
Step-by-step explanation:
the perimeter is
2×length + 2×width = 1030 ft
length + width = 515 ft
length = width + 181
now we use that in the first equation :
(width + 181) + width = 515
2×width + 181 = 515
2×width = 334
width = 167 ft
because of
length = width + 181
length = 167 + 181 = 348 ft
we can see that both have one horizontal asymptote, hence the answer is B.
Answer:
P ( 23 < X < 64.7 ) = P ( -1 < Z < 2 ) = 0.8186
Step-by-step explanation:
Solution:
- Let X be a random variable that denotes the age of people who use smartphones.
- The random variable X follows a normal distribution with parameters mean (u) and standard deviation (s).
-The normal distribution can be expressed as:
X~ N ( u , s^2 )
X~ N ( 36.9 , 13.9^2 )
- The probability that a random smartphone user in the age range 13 to 55+ is between 23 and 64.7 years old can be expressed as:
P ( 23 < X < 64.7 )
- We will compute the Z-score values for the interval:
P ( 23 < X < 64.7 ) = P ( (x1 - u) / s < Z < (x2 - u) / s )
P ( 23 < X < 64.7 ) = P ( (23 - 36.9) / 13.9 < Z < (64.7 - 36.9) / 13.9 )
P ( 23 < X < 64.7 ) = P ( -1 < Z < 2 )
- We will use Z-table to evaluate:
P ( 23 < X < 64.7 ) = P ( -1 < Z < 2 ) = 0.8186
8 4/8 - 2 2/8 = 6 2/8in or 6.25in
