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.
Answer:
See below ~
Step-by-step explanation:
<u>Details of the graph of the quadratic equation</u>
- Minimum value = <u>-1</u>
- Domain : <u>all real numbers</u>
- Range : <u>y ≥ -1</u>
Answer:
7*2=14 8x=8*8=64*2
Step-by-step explanation:
Thats how you basically do it now try it!
Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>
<h3>
Answer:</h3>
The tank can hold up to 9 gallons.
Quick Review:
By doing the inverse of 7/12, 12/7, when you multiply it, you'll get a value of 1.
7/12 * 12/7 = 1
Doing the Problem:
By multiplying 5 1/4 by 12/7, you'll get the answer. But first, convert 5 1/4 into an improper fraction.
5 1/4 ---> 21/4
Okay, lets go!
21/4 * 12/7 = 252/28
<u>When reduced, this gives you the answer 9/1, or 9 gallons.</u>
Hope that helps, :)
