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3 years ago

The midpoint of AB is M(3,3). If the coordinates of A are (2,-8), what are the coordinates of B?

Mathematics

1 answer:

Lyrx [107]3 years ago

4 0

Step-by-step explanation:

MID POINT =[(X1 +X2)/2 , (Y1 +Y2)/2]

WE KNKW THAT A(2,–8) AND THE MID POINT IS (3,3)

SUBSTITUTING INTO THE EQUATION ABOVE

(3,3) = [(2+ X2)/2 ,(–8+ Y2)/2]

EQUATING THE X COORDINATES

=> 3 = (2+ X2)/2 (CROSS MULTIPLY)

=> 6 = 2 + X2

X(subscript 2)= 4

EQUATING THE Y COORDINATES

=> 3 =(–8 +Y2)/2 (CROSS MULTIPLY)

6 = –8 +Y2

=> Y(subscript 2)= 14

THEREFORE THE COORDINATES OF B ARE (4 ,14)

hope this helps :)

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In a binomial experiment with 45 trials, the probability of more than 25 success can be approximated by What is the probability

Pani-rosa [81]

Answer:

0.6 is the probability of success of a single trial of the experiment

Complete Problem Statement:

In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by $P(Z>\frac{(25-27)}{3.29})$

What is the probability of success of a single trial of this experiment?

Options:

0.07
0.56
0.79
0.6

Step-by-step explanation:

So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:

$\mu =\frac{np}{\sigma}$ = $\sqrt{np(1-p)}$

now,

$Z=\frac{X-\mu}{\sigma}$

so,

by comparing with $P(Z>\frac{(25-27)}{3.29})$ , we get:

μ=np=27

$\sigma=\sqrt{np(1-p)}$ =3.29

put np=27

we get:

$\sigma=\sqrt{27(1-p)}$ =3.29

take square on both sides:

10.8241=27-27p

27p=27-10.8241

p=0.6

Which is the probability of success of a single trial of the experiment

5 0

3 years ago

3(n+4)=21 what does n =?

Brilliant_brown [7]

Answer:

Step-by-step explanation:

3(n + 4) = 21

3n + 12 = 21

3n = 21 - 12 = 9

n = 3.

7 0

3 years ago

Read 2 more answers

Translate each problem below into an equation and solve. Mr. Drysdale earned $906.25 in interest in one year on money that he ha

Effectus [21]

6.25% of $906.25 + $906.25

5 0

3 years ago

PLEASE HELP ASAP

Anna35 [415]

Hello

Answer:

The correct answer is B

Step-by-step explanation:

You just use the Distribuatd property to solve

You multiply 10 to all the varibles inside the parthense

Becasued y is equal to 7 you would do 10x7=70

then 10x8=80

and 70+80=150

and the answer says the primeter is 150 when y=7

Hope this helps

Plz mark me as Brainliest

5 0

3 years ago

The solution set for an inequality is graphed on this number line which numbers below belong to the solution set of the inequali

Rudiy27

Answer:

B, C E and F

Step-by-step explanation:

The inequality is x > -30

the numbers belonging to the solution are all on the heavy line.

Note -30 is not included because of the clear circle on -30

also -44 is not on the heavy line.

7 0

3 years ago