I hope this helps you
f(8)=2.8+5=21
g(8)=3.8+6=30
f-g(8)=21-30= -9
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!
Answer:
Martin drove 53,558 miles.
Step-by-step explanation:
If you add up the amount of miles his son and wife drove, you get 32,898. To get the answer, you would subtract that from the total number of miles to get 53,558.
Answer:
We conclude that the recursive formula would be:
aₙ = aₙ₋₁ + 4
Step-by-step explanation:
Given the sequence
14, 18, 22, 26, 30, .
Determining the common difference between the adjacent terms
18-4 = 22, 22-18 = 4, 26-22 = 4, 30-26 = 4
As the common difference is same.
i.e. d = 4
Thus, this sequence represents the Arithmetic sequence.
also
a₁=14
As the common difference d=4, meaning the next term (aₙ₋₁) can be obtained by adding 4 to the previous term.
Thus, the recursive formula would be:
aₙ = aₙ₋₁ + 4
VERIFICATION
Given
a₁=14
Put n = 2 to get the next term i.e. (a₂).
Using the recursive formula
aₙ = aₙ₋₁ + 4
a₂ = a₂₋₁ + 4
= a₁ + 4
= 14 + 4
= 18
Thus, a₂ = 18 can be obtained by adding 4 to the previous term.
Therefore, we conclude that the recursive formula would be:
aₙ = aₙ₋₁ + 4