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2 years ago

If the coordinates of A and B are (-3, a) and (1, a+4) respectively and the mid point of AB is (-1, 1),

Mathematics

1 answer:

goldfiish [28.3K]2 years ago

4 0

$a=-1$

Using the midpoint formula directly from the topic meaning

$\frac{x_{1}+x_{2} }{2} or \frac{y_{1}+y_{2} }{2}$

$\frac{a+a+4}{2} =1\\a=-1$

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In Leakwater township, there are two plumbers. On a particular day three Leakwater residents call village plumbers independently

Marianna [84]

Answer:

25% probability that all three residents will choose the same plumbe

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they choose the first plumbe, or they choose the second. The plumbers are chosen independent of each other. 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.

Each resident randomly chooses one of the two plumbers.

This means that $p = \frac{1}{2} = 0.5$

Three residents:

This means that $n = 3$

What is the probability that all three residents will choose the same plumb

This is P(X = 0)(all choose the second pumble) or P(X = 3)(all choose the first pumble). So

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

$P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125$

$P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125$

$p = P(X = 0) + P(X = 3) = 2*0.125 = 0.25$

25% probability that all three residents will choose the same plumbe

4 0

2 years ago

A circle with a diameter of 25 inches

Oksana_A [137]

A =πr2

Π = 3.14

r = ½diameter = 25/2 =12.5 inches

∴ Area = 3.14 × 12.5 × 12.5 square inches

Area = 490.625 square inches

5 0

3 years ago

Hello can you please help me posted picture of question

jarptica [38.1K]

4x^6+2x^5-2x+8+2x^8+4x+2=
2x^8+4x^6+2x^5+(4-2)x+10=
2x^8+4x^6+2x^5+2x+10

Answer: Option B: 2x^8+4x^6+2x^5+2x+10

7 0

3 years ago

What is a radius in geometry, and what are some examples of it?

mixer [17]

A radius is a straight line from the centre to the edge of a circle. i’m not sure about any examples sorry :/

6 0

2 years ago

Find the distance between M(-2,3) and N(8,2)

AnnZ [28]

Answer:

$d=\sqrt{101}$

Step-by-step explanation:

Distance Formula: $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Simply plug in your 2 coordinates into the distance formula to find distance <em>d</em>:

$d=\sqrt{(8-(-2))^2+(2-3)^2}$

$d=\sqrt{(8+2)^2+(-1)^2}$

$d=\sqrt{(10)^2+1}$

$d=\sqrt{100+1}$

$d=\sqrt{101}$

6 0

3 years ago