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:
Step-by-step explanation:
This problem can be solved using concept of compound interest
In compound interest
if p is the principal amount
and r is the interest rate
then value of principal amount(A) after n years time is given by
A = p(1+r)^n
=>
__________________________________
in the problem
in place of n we have x years
y is the amount which is the total amount after n years
p is the principal money deposited = $500
r = 15%
substituting these value in the formula for amount after n years we have
Thus, function modeling the situation is
<span>The normal curve is described by a bell curved graph. The bell curved graph of a normal distribution depends on two factors: the mean and the standard deviation. The mean identifies the position of the center and the standard deviation determines the height and width of the bell.
Therefore, the factor that the width of the peak of the normal curve depends on is the standard deviation.</span>
A. Probability: 1/6
Since there are 6 possibilities and we are looking for one out of six of those possibilities, we get the ratio or fraction of 1/6
b. The wording on this question is very awkward.
c. The probability that you do not roll a six is 5/6. This is because again, there are 6 possibilities, but we are looking cases where it is not one possibility. There are 5 cases, therefore the answer is 5/6.
we will proceed to solve each case to determine the solution of the problem
we know that
<u>case A</u>.
<u>The result of case A is not a real number product</u>
<u>case B</u>.
<u>The result of case B is not a real number product</u>
<u>case C</u>.
<u>The result of case C is not a real number product</u>
<u>case D</u>.
<u>The result of case D is a real number product</u>
therefore
<u>the answer is the option</u>