-20% + 10 % = -10%
The ticket was less by 10 percent.
The answer is 71°.
x = angle
3x = 90 - x - 14
4x - 76
x = 19°
90 - x = 71°
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.
F(x) = 1/4x-1
i hope this helps!
Answer:
1. (0, 1)
Step-by-step explanation:
Put x = 0 then work out the values of y:0
y = 3^0 = 1 y-intercept is (0,1)
y = 0,25^x , y = 0.25^0 = 1
All the others are done in same way
