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Bas_tet [7]
2 years ago
8

Find the probability that a point is chosen randomly inside the rectangle is in each given shape...

Mathematics
1 answer:
Arlecino [84]2 years ago
6 0

By taking the quotients between the areas, we see that:

  • a) P = 0.275
  • b) P = 0.85

<h3>How to find the probabilities?</h3>

First we need to find the areas of the 3 shapes.

For the triangle, the area is:

T = 3*5/2 = 7.5

For the blue square, the area is:

S = 3*3 = 9

For the rectangle, the area is:

R = 10*6 = 60

Now, what is the probability that a random point lies on the triangle or in the square?

It is equal to the quotient between the areas of the two shapes and the total area of the rectangle, this is:

P= (7.5 + 9)/60 = 0.275

b) The area of the rectangle that is not the square is:

A = 60 - 9 = 51

Then the probability of not landing on the square is:

P' = 51/60 = 0.85

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

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Answer:

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3 0
2 years ago
The juice dispenser in the cafeteria holds 22 1/4 pints of juice. The glasses in the cafeteria only hold 1/4 of pints of juice.
Nutka1998 [239]

Answer:

D - 89

Step-by-step explanation:

you get 4 glasses for each pint.

22*4 = 88

then you get 1 for the 1/4

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5 0
3 years ago
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
natita [175]

Answer:

Step-by-step explanation:

Given that:

Population Mean = 7.1

sample size = 24

Sample mean = 7.3

Standard deviation = 1.0

Level of significance = 0.025

The null hypothesis:

H_o: \mu = 7.1

The alternative hypothesis:

H_a: \mu > 7.1

This test is right-tailed.

degree \ of \  freedom=  n - 1 \\ \\ degree \  of \  freedom  =  24 - 1 \\ \\ degree \ of \  freedom   = 23

Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test t_c = 2.069

The test statistics can be computed as:

t = \dfrac{ \hat X - \mu_o}{\dfrac{s}{\sqrt{n}}}

t = \dfrac{ 7.3-7.1}{\dfrac{1}{\sqrt{24}}}

t = \dfrac{0.2}{0.204}

t = 0.980

Decision rule:

Since the calculated value of t is lesser than, i.e t = 0.980 < t_c = 2.069, then we do not reject the null hypothesis.

Conclusion:

We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.

6 0
3 years ago
2. A bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as
oksano4ka [1.4K]

Answer:

2. 10 muffins with chocolate 30 without chocolate

Step-by-step explanation:

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3 years ago
What is the slope and y-intercept of y+1=4/3x
Sergio039 [100]

hello

so this equation is written in point slope form: y-y_{1} = m(x-x_{1})

we can solve for y to get the equation into slope intercept form: y=mx+b

y+1=4/3x

subtract 1 from both sides

y=4/3x-1

slope: 4/3

y-intercept: -1

hope this helps

have a nice day :)

6 0
2 years ago
Read 2 more answers
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