What is the slope of the line containing (-2, 5) and (4, -4)?

Answer:

The percentage of the students who have grade point averages that are no more than 1.82 is 2.5%

Step-by-step explanation:

The empirical rule states that for a normal distribution, 68% of the distribution are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.

Given that:

Mean (μ) = 2.62, Standard deviation (σ) = 0.4

68% are within one standard deviation = μ ± σ = 2.62 ± 0.4 = (2.22, 3.02)

95% are within two standard deviations = μ ± 2σ = 2.62 ± 2(0.4) = (1.82, 3.42)

The percentage of the students have grade point averages that are no more than 1.82 is 100% - [95% + (100% - 95%)/2] = 100% - 97.5% = 2.5%

The correct next step Amy could take is to factor (x^2 - 16) on the left side of the equation to yield (x + 4)(x – 4)(x + 2) = 0.

The equation is given as:

[tex]\mathbf{(x^2 - 16)(x + 2) = 0}[/tex]

The possible next steps are:

1. Expand the equation as follows

[tex]\mathbf{x^3+2x^2-16x-32 = 0}[/tex]

2. Express x^2 -16 as a difference of two squares as follows

[tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

However, the correct step in this case is to factor x^2 - 16 as a difference of two squares to give [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

This is so, because the question says Amy is trying to solve for variable x.

This step will ensure that she gets the possible values of x, unlike expanding the whole equation .

Hence, the correct next step is [tex]\mathbf{(x + 4)(x- 4)(x + 2) = 0}[/tex]

Read more about equations at:

https://brainly.com/question/7674413

The surface area of the figure is the amount of area covered by the figure.

The figure is not given, so I will give a general solution.

The method followed by Brad to calculate the surface area of the prism is correct.

However, whether Brad correctly calculates the areas of the rectangular prism and the triangular prism cannot be determined.

So, the conclusion is that:

Read more about surface areas at:

https://brainly.com/question/484723

Answer:

x and y are both equal to 57.5°

Step-by-step explanation:

180° - 65° = 115°

115 ÷ 2 = 57.5

Answer:

y=-3/2x

Step-by-step explanation:

y=mx + b

First find slope, here we take 2 points

(0,0) and (2, -3)

m = (-3-0)/(2-0)

m = -3/2

Find B which is 0 since it hits (0,0) which is a y intercept when x= 0

Therefore equation is:

y=-3/2 x

Answer: Lightning struck 22.5 times in 6 minutes, of the second storm.

First Storm

7/4= 1.75 strikes per minute

Second Storm

1.75+2=3.75

3.75*6=22.5 strikes in the second storm

Answer

so uh

Step-by-step explanation:

thats how to solve

Answer:

12+16 = 2(10+4)

Step-by-step explanation:

12+16 = 2(10+4)

Answer:

for number 6                       2x

for number 7                         8

Step-by-step explanation:

Answer:

6. 8x+3x-9x= 2x

7. 2x-3=13

or, 2x=13+3

or, 2x=16

or, x=16/2

Therefore, x=8

Answer:

E

Step-by-step explanation:

Hope this helped

Julian factored the expression of 2x^4 + 2x³ - x²- x, the step 2 ( x (2x² (x + 1)) - 1(x − 1)) is wrong statement.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We have been given an expression as;

2[tex]x^{4}[/tex] + 2x³ - x²- x

Step 1;

x(2x³ + 2x²- x − 1)

Step 2;

x (2x² (x + 1)) - 1(x − 1)

Step 3;

x²(2x²-1) (x + 1)(x - 1)

Hence, Julian incorrectly factored -1 from the second group of terms.

we can write the correct factored as;

x (2x²- 1))(x + 1)

Therefore, Julian factored the expression of 2[tex]x^{4}[/tex] + 2x³ - x²- x, the step 2 ( x (2x² (x + 1)) - 1(x − 1)) is wrong statement.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ5

Answer:

I believe 1.) is x=y-4/2 and 2.) x=y-4/2 as well

Step-by-step explanation:

1.)

y=2x+4

-subtract 4 on both sides-

y-4=2x

-divide 2 on both sides-

x=y-4/2

2.)

y=2(x+2)

-distribute the 2-

y=2x+2

-subtract 2 on both sides-

y-2=2x

-divide 2 on both sides-

x=y-2/4

I dont know exactly if this is correct, but i hope it helps! :)

Answer:

90

Step-by-step explanation:

q

Answer:

6X+5

Step-by-step explanation:

Answer:

6x+5

Step-by-step explanation:

6x+1+7-3

6x+(1+7)-3

6x+8-3

6x+5

Answer:

4.8 feet

Step-by-step explanation:

a² + b² = c²

a² + 11² = 12²

a² + 121 = 144

a² = 23

a = [tex]\sqrt{23}[/tex]

a, or the height of the kite ≈ 4.8

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer: 5

Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-9--5)^2+ (-2 - -5)^2 d = √(-4)^2 + (3)^2 d = √16 + 9 d = √25 d = 5

Answer:

0.3

Step-by-step explanation:

total:16.3

20*0.8=16 (amount she will use)

16.3-16=0.3

Answer:

60% Increase

Step-by-step explanation:

Ayesha scored 5 more goals over her previous goal count of 8.  That means:

(5/8) = 0.60 or 60% increase.

A 60% increase means a factor of 1.6 (1 + 0.6)

(8 goals)*(1.6) = 13 goals

Answer:

13 _18= 5

5/13×100%=38.46%

Thats how i do it ....i dont know about others

Answer:

[tex]\sqrt{85}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2-y_{1})^2 } }[/tex]

with (x₁, y₁ ) = (- 5, 8 ) and (x₂, y₂ ) = (4, 6 )

d = [tex]\sqrt{4-(-5))^2+(6-8)^2}[/tex]

  = [tex]\sqrt{(4+5)^2+(-2)^2}[/tex]

  = [tex]\sqrt{9^2+4}[/tex]

  = [tex]\sqrt{81+4}[/tex]

  = [tex]\sqrt{85}[/tex]

Answer:

your answer would be B.

Step-by-step explanation:

for this fraction equation all you need to do is round the 2 up to a 8 putting it at 4/8, round the 4 up to a 8 putting it at 2/8, and keep the 1/8 the same. then add them all together and you would get 7/8

Answer:

b 7/8

Step-by-step explanation:

your gonna change everything to eights

Answer:

32 degrees

Step-by-step explanation:

lets assume a point K on top of M and giving the the measure of <KMN  = 90 degree.

let LMP be x

KML = 90 - 79 = 11

x =  90-11-47 = 32

thus, <LMP is 32 degrees

Answer:

the answer is d

Step-by-step explanation:

Answer:

y = 3/4 + 7

Step-by-step explanation:

you must put the equation into the form of y = mx + b

add 6x to both sides and put it in front of the 56

8y = 6x + 56

y must be by itself by x does not so we divide everything by 8

y = 6/8x + 7

we must simplify the fraction 6/8

y = 3/4x + 7

Answer:

this has to do with trial and error

since N=21÷3-3

so 21÷3-3=4

therefore N=4

substitute for N

2×4=8

8×3=24

therefore 24÷3=2×4

Step-by-step explanation:

3.

the net of a cylinder looks like a rectangle with two circles attached at opposite ends. we also define a base radius for the cylinder as the radius of the base, and the height of the cylinder as the distance between the bases.

in other words, imagine you cut open a soda can (and leave the top and bottom just a little bit attached - don't cut them off completely).

the mantle turns into a rectangle. and the base and top are two circles. the length of the rectangle is the circumference of one of the circles (2×pi×r), and the width of the rectangle is the height of the original can.

4.

remember what you did when calculating the size of the area of a square ? or a rectangle ?

in each case it is in principle length×width.

and we expressed an area not in units of e.g. cm but in cm², because we simply said how many little squares of 1 unit side length fit into the area.

now, for the volume, we apply the same principle and simply add a third dimension.

we express a volume not in cm² squares but in cm³ cubes, saying how many such little cubes fit inside.

a cube with 5 cm side length has therefore a volume of

5×5×5 = 5³ = 125 cm³ (= 125 little cubes of 1cm side length).

5.

this is simply a box, a 3-dimensional rectangle.

similar to 4. fit the volume we just multiply now so 3 dimensions :

6×7×9 = 378 cm³ (= 378 little cubes of 1cm side length).

Answer:

[tex]y=-x-2[/tex]

Step-by-step explanation:

1) First, find the slope between these 2 points.

(1, -3)

(-3, 1)

The change between the y-values is 4.

[tex]1--3=1+3=4[/tex]

The change between the x-values is -4.

[tex]-3-1=-4[/tex]

Slope is rise over run, and this is a rise of 4 and a run of -4, so the slope is -1.

[tex]\frac{4}{-4}=1[/tex]

If you just wanted to use the slope formula, you could do that too:

[tex]m=\frac{y2-y1}{x2-x1}\\\\m=\frac{1--3}{-3-1}\\\\m=\frac{4}{-4}\\\\m=-1[/tex]

2) Second, now you can use the slope to calculate the y-intercept.

Pick whichever point you want, and plug it into the equation along with the slope and solve for b.

(1, -3) = (x, y)

[tex]y=mx+b\\-3=(-1)(1)+b\\-3=-1+b\\-2=b\\b=-2[/tex]

The y-intercept is -2.

3) Finally, you can wire the equation in slope-intercept form.

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

Plug in the values we found and you're done:

[tex]y=-x-2[/tex]

Answer:

Step-by-step explanation:

[tex]3x + 46 + 93 + 47 + 4x + 62 + 3x = 360 \\ 7x + 248 = 360 \\ 7x = 360 - 248 \\ 7x = 112 \\ x = \frac{112}{7} \\ x = {16}^{o} [/tex]

Answer:

-2x + 8

Step-by-step explanation:

32x + 8 - 34x

(32 - 34)x + 8

-2x + 8

-2x + 8

=> 32x + 8 - 34x

=> (32 - 34)x + 8

=> -2x + 8

Answer:

I'm not too sure which one you need, so choose what answer needs to go in the box!

JL= 44.5

JK=23.3

KL=23.3

Step-by-step explanation:

Since JK and KL are equal to eachother, we have to find the missing variable through them. You want to choose one side to have the variable number and the other side for the normal numbers. I can't really explain this next bit, so I'll show the math below:

V N

4x - 10.7 = 2x + 6.3

+10.7. +10.7

_________________

4x = 2x + 17

-2x -2x

2x = 17

So, once there is only one variable number and one normal number left, what do you do? You divide the variable by the number it's worth and carry the division to the normal number.

2x = 17

÷2. ÷2

_______

x = 8.5

So, 8.5 is our number we need. We then just insert it into all the equations to get the numbers.

4 × 8.5 = 34

34 - 10.7 = 23.3

Since JK and KL are equal, they are both 23.3.

5 × 8.5= 42.5

42.5 + 2 = 44.5

JL=44.5

Answer:

85°+8x-1+11x+1=180°(being sum of all angle in a

triangle)

or,85°-1+1+8x+11x=180°

or,84+1+19x=180°

or,85+19x=180°

or,19x=180-85

or,19x=95

or,x=95/19

x=5