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3 years ago

Find the slope and the y-intercept of the line whose equation is -7x+y=-6

Mathematics

1 answer:

gulaghasi [49]3 years ago

6 0

-7x + y = -6 |add 7x to both sides

y = 7x - 6

the slope: m = 7
the y-intercept: y = -6

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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

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

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.

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3 years ago

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steposvetlana [31]

Answer:

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Step-by-step explanation:

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2 years ago

You have $55,000 in your savings account that pays 2.5% annual interest and the inflation rate is 3.4%. how much buying power in

lianna [129]

Your interest formula is given to you.

Interest in a year = principal (the amount invested) * rate (the interest rate) * period (the time you're measuring) 

Interest = 55,000 * 2% * 1 year = 55,000 * 0.02 * 1 = $1,100 

How much would you need to have made for your spending power to keep with inflation? Your interest rate would have needed to match the inflation rate, otherwise, prices are going up faster than you're saving. 

Required interest = 55,000 * 3.24% * 1 year = 55,000 * 0.0324 * 1 = $1,782 

How much buying power did you lose? The difference between your required interest and your actual interest. 
Buying power lost = 1,782 - 1,100 = $682. You lost this much in buying power.

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3 years ago

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Ad libitum [116K]

Answer:

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Step-by-step explanation:

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3 years ago

Find the slope of the line graphed below. will give brainiest

Setler79 [48]

Answer:

3/-2 or -1.5

Step-by-step explanation:

remember to find slope using a graph the equation is rise over run so it goes up 3 and the decreases or moves towards the left 2

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3 years ago