A circle with a radius of 1 in. is inscribed in a right triangle with legs of 3 in. and 4 in. If a point is randomly chosen within the triangle, what is the probability that the point is NOT also in the circle?​

Answer:

Explanation:

Circle Area:

CA = 1²×π

CA ≈ π in²

Triangle Area:

TA = 3×4/2 = 6 in²

Probability:

P(point not in circle) = (6-π)/6 ≈ 0.48 ≈ 47.64%

Medical researchers are studying a certain genetic trait found in two populations of people, W and X. From an independent random sample of people taken from each population, the difference between the sample proportions of people who carried the trait (W minus X) was 0.22. Under the assumption that all conditions for inference were met, a hypothesis test was conducted using the following hypotheses.

H0 : pW=pXHa : pW > p XHo : pW= pX Ha: pW >pX

The p-value of the test was 0.03. Which of the following is the correct interpretation of the p-value?
a. The probability of selecting a person from population W who carries the trait is 0.22, and the probability of selecting a person from population X who carries the trait is 0.03.
b. If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of at least 0.22 is 0.03.
c. If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of 0.22 is 0.03.
d. If the difference in proportions of people who carry the trait between the two populations is actually 0.22, the probability of observing that difference is 0.03.
e. If the difference in proportions of people who carry the trait between the two populations is actually 0.03, the probability of observing that difference is 0.22.

The diagonals of square ABCD intersect at point E. If BE = 2x + 1, and AC = 3(6x - 4), find BD.

which is a true statement about the two rectangular prism shown below

What were the
prominent primary, secondary and tertiary effects the disaster brought?​

How
many solutions does the equation 4X + 8 = - 2 - 2 + 5x have?
Two
® One
Zero
Infinitely many

A 5-pound bag of sugar costs $3.90. What is the unit rate?

i am so confused. not sure how to solve need step by step instruction to help please

given:f(x)=3x−7 for × ≥0
f(x)=-2x +3 for x >0
find: f(-5)

WILL GIVE BRAINLIEST !!

19. Car repairs. A consumer
organization estimates that
over a 1-year period 17% of cars will need to be repaired
once, 7% will need repairs twice, and 4% will require
three or more repairs. What is the probability that a car
chosen at random will need
a) no repairs?
b) no more than one repair?
c) some repairs?

The Lazy River has a current of 2 miles per hour. A motorboat can travel 15 miles
down the river in the same amount of time it takes to travel 9 miles up the river.
What is the speed of the boat in still water? Please show your work and use table to
relate time, speed, distance.

What is the answer to this

Hakima and Joshua both opened savings accounts. Both started with a balance of zero dollars. For every $3 that Hakima saves in her account, Joshua saves $5. If they have saved a total of $336, how much did Hakima save?

What is the sum of 50.249 + 21.3

The factory building manager at Delectable Delights, Jason Short, is concerned that the new contractor he hired is taking too long to replace defective lights in the factory workspace. He would like to perform a hypothesis test to determine if the replacement time for the lights under the new contractor is in fact longer than the replacement time under the previous contractor, which was 3.2 days on average. He selects a random sample of 12 service calls to replace defective lights and obtains the following times to replacement (in days). Use a significance level of
0.05. 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
1. Define μ in the context of the problem and state the appropriate hypotheses. (5 pts)
2. Regardless of your results in Part B, calculate the appropriate test statistic by hand. Write out all your steps.
3. What is your decision regarding the null hypothesis? (In other words, do you reject or fail to reject and why?)
4. Write a final concluding statement to Jason giving the results of the hypothesis test. (In other words, write the final summary statement.)

Ther *must* be an faster way of symplifying this expression. What could I have done differently?​

can someone show work and explain ??

m
N. M
(8x+17)
(12x-39)

-27 +2+ 23р - Зр
Hurry please

What number does point A represent???

A rectangle has an area of 1008
square feet. Its width is six feet less
than twice the length. Find the
measures of the length and width of
the rectangle.

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jennifer got a box of chocolates the box is a rectangular prism the measurments are 3in x 4in x 5in what is the surface area of the box of chocolates

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4 x ? is close to 105

Find the surface area of the rectangular prism be sure to include the correct unit in your answer

Rectangles R and S are similar. If the area of rectangle R is 40, what is the area of rectangle S?

What is the absolute value of 86 1/4

Write your answer as a mixed number.

which if the following equations fit this graph?​

A scale drawing of an NFL god post uses a
scale of 2 inches = 5 feet. If the actual width
of the goal post is 182 feet, what is the width
of the goal post on the drawing?

Select two days on which mike ran a total of 6 5/6 miles.

find the equation of the line use exact numbers