This is (x - 6)*x^1/2(x + 3)
= x^1/2 (x^2 - 3x - 18)
= x^(5/2) - 3x^(3/2) - 18x^(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.
The total distance that was covered by the sprinter in Kilometers is:
<h3>How much is the total distance covered?</h3>
To obtain the total distance covered by the sprinter, we need to first realize that 1 Km is equal to 1000 meters. That said, the question above requires us to change 2400 meters to kilometers.
Thus we will have:
2400 Meters * 1 km / 1000 meters
= 2.4 km
So, the total distance covered by the sprinter in kilometers is 2.4
Learn more about meter conversions here:
brainly.com/question/26259781
#SPJ4
The coefficients here are 4, 32, and -24. The GCF of these values is 4.
As for the variables, the values are x^7, x^5, and x^4. The GCF is x^4
To factor this expression take out 4x^4 from each of the terms.
Coefficients should be divided by four and exponents should be subtracted by 4 since they have the same base (x).
The answer here is A.
