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3 years ago

9

A test has five questions. To pass the test, at least three of the questions must be answered correctly. question ----> Find

the probability that Mark guesses 4 questions correctly.

1 answer:

torisob [31]3 years ago

7 0

Answer:

1/5

Step-by-step explanation:

Total Question no. 5

Three must be answer correctly so 3/5 to pass

and 2/5 to fail

So 1/5 because to pass the test he can answer it correctly only one time

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A circle has a radius of 5 centimeters. What is the area?

schepotkina [342]

Answer:

$25\pi$

Step-by-step explanation:

The formula for the area of a circle is $A=\pi r^{2}$ , r is your radius, A is your area, and π is pi (3.1415...). You plug in your radius, or 5 into r, square it, 25, and multiply it by pi. You may be asked to use a certain number of digits of pi, and in that case you multiply for example 3.14 by 25, however $25\pi$ is the exact answer.

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3 years ago

Read 2 more answers

A counselor records the number of disagreements (per session) among couples during group counseling sessions. If the number of d

Shalnov [3]

Answer:

$P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)$

And we can find this probability with the complement rule:

$P(z>-1)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the disagreements of a population, and for this case we know the distribution for X is given by:

$X \sim N(4.4,0.4)$

Where $\mu=4.4$ and $\sigma=0.4$

We are interested on this probability

$P(X>4)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)$

And we can find this probability with the complement rule:

$P(z>-1)=1-P(z$

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3 years ago

The area of a triangular plot with a base of 5 yards and a height of 8 yards is 20 square yards. What is the area of the triangu

pshichka [43]

Answer:

i think 60

Step-by-step explanation:

because the area in square yards is 20 and there are 3 ft in a yard so you would multiply 20 by 3 and you get 60

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3 years ago

Look at the circle you created that has point C (the midpoint of ) as its center and passes through point A. What can you say ab

Kamila [148]

Answer:

Part C

Look at the circle you created that has point C(the midpoint of AB) as its center and passes through point A.

What can you say about AB, about the inscribed angle of a circle, and include your reasoning in your response.

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1 year ago