Negative 22 minus negative 32 = 10
10 minus 62 = -52
-52 + 54 = 2
2 plus 26 = 28
28 minus 41 = -13
-13 is the answer
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.
Pictures of the graph ? it should look like this (mark brainliest if correct pls)
Answer:
7x - 2
Step-by-step explanation:
let x be the number of bags of chips, then
3x is the number of bags of pretzels ← 3 times the number of bags of chips
3x - 2 is the number of bags of nachos ← 2 less than bags of pretzels
total snacks bought = x + 3x + 3x - 2 = 7x - 2
Answer:
the equation for a line is y=MX+b
m= slope(rise/run)
x=variable
b= y intercept
you would find the slope by looking at the rise over run which are both 1 and the line is negative so the slope would be negative one
you would find b by looking at where the y intercept is (y when x is zero) which is 9
y= -x+9
hope that helped
