In the diagram shown, ZFEH is a right angle. If mZHEG = 41° then which statement below is true?

A cylindrical oil storage tank has a height of 10 meters and a diameter of 24 meters. If the tank is full, how much oil does it

Fantom [35]

For this case what you should do is find the volume of the tank in the form of a cylinder.
By definition, the volume of a cylinder is:
V = pi * (r ^ 2) * (h)
Where,
h: height
r: radio
Substituting the values we have:
V = 3.14 * ((24/2) ^ 2) * (10)
V = 4521.6 kL
Answer:
If the tank is full, it does contain 4521.6 kL of oil

8 0

3 years ago

B Which of the statements is true about the polygons below E D 120 degrees C 90 90 60 60 120 degrees 90 90 F D Polygon A Polygon

Serhud [2]

The statement that is true about the polygons is: the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle.

<h3>What is a Circumscribed Quadrilateral?</h3>

An circumscribed quadrilateral is a quadrilateral whose four side lie tangent to the circumference of a circle. The opposite angles in an inscribed quadrilateral are supplementary, that is, when added together, their sum equals 180 degrees.

From the two figures given, the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle. (Option D).

Learn more about circumscribed quadrilateral on:

brainly.com/question/26690979

#SPJ1

7 0

2 years ago

3. If one leg of a right triangle measures 3 centimeters and the other leg measures 6 centimeters, what is the length of the hyp

taurus [48]

Answer:

C.

Step-by-step explanation:

6 0

3 years ago

Evaluate:-19 - (-10) + (20) - (30) - (-15)<br> A) -4 <br> B) -3 <br> C) 3 <br> D) 4

Tresset [83]

So firstly, remember that <u>subtracting a negative number is the same as adding a positive number</u> so our expression will look like this:

$-19+10+20-30+15$

Now solve as such:

$\underbrace{-19+10}_{-9}+20-30+15\\\\\underbrace{-9+20}_{11}-30+15\\\\\underbrace{11-30}_{-19}+15\\\\\underbrace{-19+15}_{-4}\\\\-4$

<u>Your answer is -4, or A.</u>

4 0

3 years ago

Read 2 more answers

High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high

KengaRu [80]

Answer:

1. It is not appropriate to use the normal curve, since np = 7.4 < 10.

2. The probability that more than 32% of the people in this sample have high blood pressure is 0.0033 = 0.33%.

Step-by-step explanation:

Binomial approximation to the normal:

The binomial approximation to the normal can be used if:

np >= 10 and n(1-p) >= 10

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 distributions 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.

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

The proportion of U.S. adults with high blood pressure is 0.2. A sample of 37 U.S. adults is chosen.

This means, respectively, that $p = 0.2, n = 37$

Is it appropriate to use the normal approximation to find the probability that more than 48% of the people in the sample have high blood pressure?

np = 37*0.2 = 7.4 < 10

So not appropriate.

It is not appropriate to use the normal curve, since np = 7.4 < 10.

Part 2:

Now n = 82, 82*0.2 = 16.4 > 10, so ok

Mean and standard deviation:

By the Central Limit Theorem,

Mean $\mu = p = 0.2$