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2 years ago

ALL THE WAYS THIS CAN BE NAMED DONT GUESS TY

Mathematics

1 answer:

Leviafan [203]2 years ago

6 0

Answer:

Step-by-step explanation:

∠A - Angle can also be named by the vertex holding the angle.

∠TAR

∠RAT

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Find the volume of a cone with a base area 36pi and a height equal to twice the radius

beks73 [17]

The volume of a cone is $V= \frac{1}{3} A_{\text{basis}}\cdot H$ . Since $A_{\text{basis}}=36\pi$ and you know that basis is a circle you can conclude that $\pi R^2=36\pi$ and $R=6$ .

If height $H$ equal to twice the radius $R$ , then $H=2R=2\cdot 6=12$ .

The volume will be: $V= \frac{1}{3} \cdot 36\pi \12=144\pi$ cubic units.

8 0

4 years ago

At a local high school football game, 150 randomly selected people were surveyed about the location of the concession stand. 108

Nesterboy [21]

Answer:

Option B

The best point estimate of the proportion of people attending the game who believe that the concession stand should be closer to the stands is:

p = 0.72.

Step-by-step explanation:

We want to estimate the proportion of people who feel that the stand should be closer to the stands.

We have a sample of 150 people, of which 108 think that the stand should be closer to the stands.

A point estimator for the proportion p is $p\¨$ .

Where

$p\¨ = \frac{x}{n}$

Where n represents the size of the sample and represents the number of favorable cases.

We know that $n = 150$ and $x = 108$ .

Then we can estimate p by the estimator $p\¨$

$p\¨= \frac{108}{150}$

$p\¨ = 0.72$

4 0

3 years ago

Read 2 more answers

A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true

kvv77 [185]

Answer:

99.74% probability that the sample proportion will be less than 0.1

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .