Answer:
0.5 Inches per hour
Step-by-step explanation:
Most normal people won't know exactly what unit rate is, or how to calculate it. So I'm here to help!
This is a fraction equal to
6 inches ÷ 12 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 12
6 inches ÷ 12
12 hours ÷ 12
=
0.5 inches
1 hour
=
0.5 inches
hour
= 0.5 inches per hour
Glad I was able to help!
If a 4 sided figure has 360°...for each side we add, we add 180°.
you have a 7 sided figure (360° + 3(180°) = 900°)
adding up your angles (781) and subtract it from 900 =
x = 119°
X= 9/2, 15/2
decimal form: 4.5,-7.5
mixed number form: 4 1/2, -7 1/2
Answer:
0.0918
Step-by-step explanation:
We know that the average amount of money spent on entertainment is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.
The mean and standard deviation of average spending of sample size 25 are
μxbar=μ=95.25
σxbar=σ/√n=27.32/√25=27.32/5=5.464.
So, the average spending of a sample of 25 randomly-selected professors is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.
The z-score associated with average spending $102.5
Z=[Xbar-μxbar]/σxbar
Z=[102.5-95.25]/5.464
Z=7.25/5.464
Z=1.3269=1.33
We have to find P(Xbar>102.5).
P(Xbar>102.5)=P(Z>1.33)
P(Xbar>102.5)=P(0<Z<∞)-P(0<Z<1.33)
P(Xbar>102.5)=0.5-0.4082
P(Xbar>102.5)=0.0918.
Thus, the probability that the average spending of a sample of 25 randomly-selected professors will exceed $102.5 is 0.0918.
1. 3x-6+2x+108+88=360
5x=170
x=34
2. figure B
