16731 should be the answer
Answer:
answer 2) 24
Step-by-step explanation:
after the dilation pt D is (8,-32)
after the dilation pt E is (-16,16)
if you use the distance formula for these two points you get
which simplifies to 24
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:
6.00 %
Step-by-step explanation:
205.00 × 0.060= 12.3
205.00 + 12.3= $217.30
3 ounces of 80-proof rum approximately contains 200,000 cal.
Now, we need to convert the cal into kcal. We know that:
1 cal = 1000 kcal
Therefore,
200,000 cal = 200 kcal