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2 years ago

Find the equation of the line that contains the given points. P1 (4,5) P2 (-4,3)

Mathematics

1 answer:

slava [35]2 years ago

4 0

Thinking you are using y=mx+b
So first you need to find slope(m) from the two points provided
M=y2-y1/x2-x1
Gives you m=1/4
Then using the equation above plus one of the points given in the equation for x and y to find the value of b
Equation: y=1/4x+4
Hope this helps!

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Mary's sock drawer is filled with pairs of black, red, green, and yellow socks. Mary wants to know the probability of picking a

erma4kov [3.2K]

Answer:

probabilities always add up to one hundred %

Step-by-step explanation:

it is hard to know the one fraction for red in your post what ever it is add .5 + .25 and the left over to get to 100 is theyellow

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2 years ago

600 can be written as 2^a x b x c^d. where a, b, c and d are all prime numbers. find the values of a, b, c and d

Sergeu [11.5K]

Answer:

easy one

Step-by-step explanation:

first factorise 600 as 2*2*2*3*5*5

then write as 2^3 * 3*5^2= 2^a*b*c^d

equating corresponding elements as a=3

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2 years ago

Write an inequality for the situaions below and solve:

musickatia [10]

Answer

Find out the how many boxes of paper can the forklift move at one time .

To proof

Let us assume that the number of boxes be x.

As given

A forklift can carry up to 2500 pounds.

You want to move boxes of paper which each weigh 140 pounds.

The paper boxes are supported on one pallet which weighs 50 pounds.

Than the equation is become in the form

140x +50 ≥ 2500

140x ≥ 2500 - 50

140x ≥ 2450

$x \geq \frac{2450}{140}$

x ≥ 17.5

Therefore the 18 boxes of paper can the forklift move at one time .

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2 years ago

Twenty-one fish are swimming in an aquarium. Eleven are removed, leaving 10 fish. Which number is the additive inverse of the nu

mixas84 [53]

−10

fish left = 10

Therefore, the additive inverse of the number of fish left is −10. The sum of a number and its additive inverse is 0.

10 + (−10) = 0 A is the answer

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2 years ago

A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele

liq [111]

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of Americans are afraid of being alone in a house at night.

This means that $p = 0.05$

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596$

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

5 0

3 years ago