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notsponge [240]
3 years ago
9

name the lengths of the sides of three rectangles with perimeters of 14 units. use only whole numbers.

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0

rectangle 1: 6 units by 1 unit

rectangle 2: 5 units by 2 units

rectangle 3: 4 units by 3 units

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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 5(6p+8)=30p+7+7
Soloha48 [4]

Answer:

There are no solutions.

Step-by-step explanation:

add the like terms

then the distribute the 5 and 8

subtract from both sides

then you will see the answer is no solutions

4 0
2 years ago
Find the value of x in this proportion.<br> (x+3)<br> O 27/4<br> 018<br> Ö9/8<br> © 9/2
ioda
I don’t know the answer sorry
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3 years ago
You have come in contact with the Zombie Virus and are now infected with one strand. The
coldgirl [10]

Answer:

y=2^x

Step-by-step explanation:

5 0
2 years ago
Given: KLMN is a trapezoid m∠K = 90°, m∠N = 45° LK = LM = 10 Find: KN, Area of KLMN
Ilya [14]
Let KLMN be a trapezoid (see added picture). From the point M put down the trapezoid height MP, then quadrilateral KLMP is square and KP=MP=10.
A triangle MPN is right and <span>isosceles, because
</span>m∠N=45^{0}, m∠P=90^{0}, so m∠M=180^{0}-45^{0}-90^{0}=45^{0}.Then PN=MP=10.
The ttapezoid side KN consists of two parts KP and PN, each of them is equal to 10, then KN=20 units.
Area of KLMN is egual to A= \frac{LM+KN}{2} *MP= \frac{10+20}{2} *10=150 sq. units.


5 0
3 years ago
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