A water tank is in the shape of a cylinder with a diameter of 20 feet and

Mathematics

2 answers:

xxTIMURxx [149]3 years ago

5 0

Answer:

The amount of gallons rounded to a whole number is 32970 gallons.

Vesnalui [34]3 years ago

4 0

Answer:

The amount of gallons rounded to a whole number is 32970 gallons.

Step-by-step explanation:

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Evaluate log38, given log32 ≈ 0.631.

ArbitrLikvidat [17]

$\log_38-\log_32^3=3\log_32\approx3\cdot0.631=1.893\\\\Used:\log_ab^n=n\cdot\log_ab$

4 0

3 years ago

Read 2 more answers

According to a survey, high school girls average 100 text messages daily (The Boston Globe, April 21, 2010). Assume the populati

Ghella [55]

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)

P(X[bar]<95) = P(Z<(95-100)/(20/√50))= P(Z<-1.77)= 0.03836

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!

3 0

3 years ago

Question 5 (2 points)

ollegr [7]

Answer:

c cuh

Step-by-step explanation: