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UkoKoshka [18]
3 years ago
11

The perimeter of a rectangle Is 108 centimeters. If the length of the rectangle is five times the width, what are the dimensions

of the rectangle?
Mathematics
1 answer:
vampirchik [111]3 years ago
4 0

Answer: L=45, W=9

Step-by-step explanation:

Perimeter P=108  so if  L=5W,

P=2(L+W)=2(5W+W)=2(6W)=12W

108=12W

W=108/12=9

L=5*9=45

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Suppose that 80 percent of all statisticians are shy, whereas only 15 percent of all economists are shy. Suppose also that 90 pe
Anna71 [15]

Answer:

37.21% probability that the person is a statistician.

Step-by-step explanation:

We have these following probabilities:

An 80% probability that a statistican is shy.

A 15% probability that an economist is shy.

At the gathering, a 90% probability that a person is an economist.

At the gathering, a 10% probability that a person is a statistican.

If you meet a shy person at random at the gathering. What is the probability that the person is a statistician?

This can be formulated as the following question:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

So

What is the probability that the person is a statistican, given that he is shy?

P(B) is the probability of the person being a statistican. So P(B) = 0.1.

P(A/B) is the probability of a statistican being shy, so P(A/B) = 0.8.

P(A) is the probability of a person being a shy. This is 15% of 90%(economists) and 80% of 10%(statisticans). So

P(A) = 0.15*0.9 + 0.8*0.1 = 0.215

Finally

P = \frac{P(B).P(A/B)}{P(A)}

P = \frac{0.1*0.8}{0.215} = 0.3721

37.21% probability that the person is a statistician.

3 0
3 years ago
What is the measure of the missing angle? 125 125° 03 O 13° O 42°​
Dahasolnce [82]

Answer:

The correct answer is C. 13

Step-by-step explanation:

It is 13 because all triangles equal 180

so 125+42+13=180

5 0
2 years ago
A 9 foot tall tree casts a 5 foot shadow . At the same time a house casts a 28 foot shadow. How tall is the house?
ruslelena [56]

Answer:

33

Step-by-step explanation:

it is 33 if you get it wrong than dab

3 0
2 years ago
the probability that Jenya receives spam email is 4%.if she receives 520 email in a week about how much will be spam
wariber [46]
520*.04=20.8, or closer to 21 spam emails.
6 0
3 years ago
What is the area, in square feet, of the shape below?
grin007 [14]

Answer:

17.4 ft²

Step-by-step explanation:

The formula to find the area of a triangle:

1/2 x b x h, where b is the base and h is the height.

1) Substitute the given values into the formula and solve it.

= 1/2 x 6 x 5.8

= 1/2 x 34.8

= 17.4

7 0
2 years ago
Read 2 more answers
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