(f-g)(x) will be 3x^2 -2x+4 -(5x^2+6×-8)
distribute the -sign, gives us
3x^2-2x+4-5x^2-6x+8,
now combine like terms and should get,
-2x^2-8x+12,
final answer,
(f-g)(x)= -2x^2-8x+1×,
hope it helped,
good luck
Answer: 3 13/24
Step-by-step explanation:
<u>Turn 7 1/6 into an Improper Fraction:</u>
43/6 - 3 5/8
<u>Turn 3 5/8 into an Improper Fraction:</u>
43/6 - 29/8
<u>Subtract:</u>
43/6 - 29/8= 85/24
<u>Turn 85/24 into a Mixed Number (Final Step):</u>
85/24 = 3 13/24
<u>Answer:</u>
3 13/24
Hope this Helps!
<u></u>
Answer:
H affects horizontal shift (shift to the right or left) means moves graph right or left
Step-by-step explanation:
Just draw a line at the midpoint and a salon also if this helps OK
Answer:
Step-by-step explanation:
Hello!
The variable of interest is:
X: number of daily text messages a high school girl sends.
This variable has a population standard deviation of 20 text messages.
A sample of 50 high school girls is taken.
The is no information about the variable distribution, but since the sample is large enough, n ≥ 30, you can apply the Central Limit Theorem and approximate the distribution of the sample mean to normal:
X[bar]≈N(μ;δ²/n)
This way you can use an approximation of the standard normal to calculate the asked probabilities of the sample mean of daily text messages of high school girls:
Z=(X[bar]-μ)/(δ/√n)≈ N(0;1)
a.
P(X[bar]<95) = P(Z<(95-100)/(20/√50))= P(Z<-1.77)= 0.03836
b.
P(95≤X[bar]≤105)= P(X[bar]≤105)-P(X[bar]≤95)
P(Z≤(105-100)/(20/√50))-P(Z≤(95-100)/(20/√50))= P(Z≤1.77)-P(Z≤-1.77)= 0.96164-0.03836= 0.92328
I hope you have a SUPER day!
