Write and Solve an equation.

2 answers:

5 0

Monday ⇒ a apples

Tuesday ⇒ a + 15 apples

a + 15 = 32 ⇒ a = 32 - 15 ⇒ a = 17 apples

So, on Monday Anna picked 17 apples.

topjm [15]3 years ago

4 0

Monday=x
a+15=32
a=17
That is your answer.

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How will the solution of the system y > 2x and y < 2x change if the inequality sign on both inequalities is reversed to y

slamgirl [31]

You are given the system y > 2x and y < 2x. if the system of inequalities changes in sign convention, that is, y < 2x, It would mean that any value of x multiplied by two will always be greater than y.

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3 years ago

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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.

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

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