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3 years ago

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Which box-and-whisker plot shows the scores of ten students on a mathematics exam?89, 78, 93, 90, 75, 81, 91, 80, 89, 79

1 answer:

Rzqust [24]3 years ago

7 0

Answer:

A box-and-whisker plot is shown above a number line that extends from 70 to 100 with 1 unit markings. The box extends from 79 to between 90 and 91 with a division at 89. There is also a point marked at 89. The whisker on the left extends from 75 to 79. The whisker on the right extends from between 90 and 91 to 93.

i hope this helps u and makes sense :))

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-3(n+9)=15<br> i need the step of solving this plzz brainliest if right!!

raketka [301]

Answer:

n = -14

Step-by-step explanation:

-3(n+9)=15

Distribute -3 to (n+9):

-3n - 27 = 15

Add 27 to both sides:

-3n = 42

Divide both sides by -3:

n = -14

5 0

3 years ago

Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.

koban [17]

Answer:

$x^2 + 4x + y^2 +8y = 0$

Step-by-step explanation:

Given

$A = (-1,-2)$

$B = (2,4)$

$AP:BP = 1 : 2$

Required

The locus of P

$AP:BP = 1 : 2$

Express as fraction

$\frac{AP}{BP} = \frac{1}{2}$

Cross multiply

$2AP = BP$

Calculate AP and BP using the following distance formula:

$d = \sqrt{(x - x_1)^2 + (y - y_1)^2}$

So, we have:

$2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

$2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

Take square of both sides

$4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2$

Evaluate all squares

$4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16$

Collect and evaluate like terms

$4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20$

Open brackets

$4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20$

Collect like terms

$4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y + 20 - 20 = 0$

$3x^2 + 12x + 3y^2 +24y = 0$

Divide through by 3

$x^2 + 4x + y^2 +8y = 0$

3 0

3 years ago

The sum of 2 numbers is 46. One number is 12 more than the other. What are the numbers?

harkovskaia [24]

Answer:

two numbers are 29 and 17

Step-by-step explanation:

let the number be x

12+x+x=46

2x=46-12

x=34/2

x=17

another number is 12+x

12+17

29

5 0

3 years ago

Read 2 more answers

Express 96 as the product of prime factors<br>need it asap<br>plzz write the method too

Murrr4er [49]

Given:

The given number is:

$96$

To find:

The product of prime factors of given number.

Solution:

We have,

$96$

The prime factors of given number are:

<u>2 | 96</u>

<u>2 | 48</u>

<u>2 | 24</u>

<u>2 | 12</u>

<u>2 | 6</u>

<u>3 | 3</u>

| 1

So, 96 can be written as:

$96=2\times 2\times 2\times 2\times 2\times 3$

Therefore, the 96 as the product of prime factors is $96=2\times 2\times 2\times 2\times 2\times 3$ .

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3 years ago

What is the equation of a line that is parallel to the line y = 2x + 7 and passes through the point (–2, 4)? A. y = −12x + 3 B.

kvasek [131]

Answer:

the answer to this question is x=21

Step-by-step explanation:

Hope this didnt help

3 0

3 years ago

Read 2 more answers