ANSWER
4 roots.
EXPLANATION
The given polynomial function is
This is a fourth degree polynomial.
According to the Fundamental Theorem of Algebra, an nth degree polynomial has n roots.
This roots include both real and complex roots.
Also repeated roots or roots with multiplicity greater than one are counted as distinct.
Since the given polynomial function is a fourth degree polynomial, the Fundamental Theorem of Algebra, says that this polynomial has 4 roots.
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:
Each friend got 2 apples
Step-by-step explanation:
[original amount of apples]-[Apples Sally has after distribution] = [friends] x [number of apples]
Filling in the brackets, you get this equation.
15-9=3 x apples per friend
6=3 x apples per friend
2 = apples per friend
It's 34.
You can either intuitively know 25% means one-fourth and divide 136 by 4
Or
Convert the percentage to a decimal and multiply. 136 * 0.25 = 34
