Pete adds 78 to the data set below
20,32,32,45,50

Which statement below is true?

A. The mode will increase
B. The mean will decrease
C. The median will remain the same
D. The interquartile range will decrease

Answer:

17

Step-by-step explanation:

8^2 + 15^2 = c^2

64 + 225 = c^2

√289 = c

c = 17

Answer:

yes the answer is 17

Step-by-step explanation:

all you have to do for next time is a^2+b^2=C^2

a and b are legs or the lines that are connected to the right angle. the c is the hypotenuse which is always longer than the legs

brittany would be 10 years old because

 if jazmine is 15 years older than alyssa than alyssa would be 20

and then alyssa is twice as old as brittany

so britany is 10 years old because 10x2=20

Given:

The equation is:

[tex](x-3)^2+2(x-3)-8=0[/tex]

To find:

The value of x.

Solution:

We have,

[tex](x-3)^2+2(x-3)-8=0[/tex]

Substitute [tex]x-3=u[/tex].

[tex]u^2+2u-8=0[/tex]

Splitting the middle term, we get

[tex]u^2+4u-2u-8=0[/tex]

[tex]u(u+4)-2(u+4)=0[/tex]

[tex](u-2)(u+4)=0[/tex]

Using zero product property, we get

[tex]u-2=0\text{ and }u+4=0[/tex]

[tex]u=2\text{ and }u=-4[/tex]

Now, substitute [tex]u=x-3[/tex].

[tex]x-3=2\text{ and }x-3=-4[/tex]

[tex]x=2+3\text{ and }x=-4+3[/tex]

[tex]x=5\text{ and }x=-1[/tex]

Therefore, the correct option is b.

The solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

From the question, we are to determine the solution of the given equation

(x - 3)² + 2(x - 3) - 8 = 0

First, we will expand the equation and clear the brackets

[tex](x - 3)^{2} + 2(x - 3) - 8 = 0[/tex]

[tex](x - 3)(x - 3) + 2(x - 3) - 8 = 0[/tex]

[tex]x^{2} -6x + 9 +2x - 6 - 8 = 0[/tex]

Simplifying

[tex]x^{2} -4x - 5 = 0[/tex]

Factorizing, we get

[tex]x^{2} -5x +x- 5 = 0[/tex]

[tex]x(x-5)+1(x- 5) = 0[/tex]

[tex](x+1)(x-5)= 0[/tex]

Then,

x + 1 = 0 or x - 5 = 0

x = -1 or x = 5

Hence, the solutions to the equation are x = -1 and x = 5. The correct option is second option x = -1 and x = 5.

Learn more on solving Quadratic equations here: https://brainly.com/question/8649555

Answer:

4in^3

Step-by-step explanation:

directly varies for that mean if y increases x will increase too and the other way around if y decreases x will decrease too.

an easy way to solve this is to make all values into fraction ik it sounds confusing lemme explain it. so if we say [tex]\frac{x}{y}[/tex] and add the values of the known [tex]\frac{3}{9}[/tex] we can say that if [tex]\frac{x}{15}[/tex] is equal to [tex]\frac{3}{9}[/tex]

now we just solve it for x

[tex]\frac{x}{15} = \frac{3}{9} \\9x = 45\\x= 5[/tex]

hence when y is 15 x will be 5

Answer:

y = (x - 4)(x + 2)

Step-by-step explanation:

Quadratic Formula:

Substitute 1 for a, -2 for b, and -8 - y for c in the quadratic formula.

Answer:

[tex]y= (x-4)(x+2)[/tex]

Step-by-step explanation:

To factor polynomials you have to use FOIL. Which stands for First, Outer, Inner, and Last. This means that you have to multiply the first numbers of each part by each other, the outer two between both parts, the inner two between both parts, and the last two of each part, respectively. Then, you would simplify. If you go and do this for each answer choice, the last one would be the only correct one.

Answer:

No she is not correct .

Step-by-step explanation:

Given

-2(3x-3)=-6x+1

simplify the right hand side

-6x+6 that is not equal to -6x+1

Answer:

irrational

Step-by-step explanation:

reason

[tex] - \frac{5}{52} [/tex]

Answer:

I can barely see it can you make it bigger somehow

Step-by-step explanation:

Answer:

86.33 square micrometers

Step-by-step explanation:

A silicon wafer is textured to minimize light reflection. This results in a surface made up of square pyramids. Each triangular face of one of the pyramids has a base of 5 micrometers and a height of 5.6 micrometers. Find the surface area of the pyramid, including the base.

The formula for the Surface Ares mma is given as :

A=a² + 2a √a²/4+ h²

a = base edge = 5 micro meters

h = height = 5.6 micro meters

=5²+2× 5 × √5²/4+ 5.6²

= 86.32699 square micrometers

≈ 86.33 square micrometers

Answer:

maybe 2.9 hours

Step-by-step explanation:

Answer:

a. x = 22

b. Perimeter = 100

Step-by-step explanation:

a. Based on the proportionality theorem, we have the following:

(2x - 4)/8 = (36 - 6)/6

(2x - 4)/8 = 30/6

(2x - 4)/8 = 5

Cross multiply

2x - 4 = 8*5

2x - 4 = 40

2x = 40 + 4

2x = 44

x = 44/2

x = 22

b. Perimeter of ∆JKL = KJ + KL + JL

KJ = 2x - 4 + 8

Plug in the value of x

KJ = 2(22) - 4 + 8

KJ = 44 - 4 + 8 = 48

KL = 36

JL = 16

Perimeter = 48 + 36 + 16

Perimeter = 100

Answer:

Step-by-step explanation:

did u get the answer?//

Answer:

4/6

Step-by-step explanation:

im smart trust

Answer:

( 0, - 2 )

Step-by-step explanation:

Mid point formula : -

( x1 + x2 ) / 2, ( y1 + y2 ) / 2

Here,

Let ( x1, y1 ) = ( - 4, - 2 )

Therefore,

x1 = - 4

y1 = - 2

Let ( x2, y2 ) = ( 4, -2 )

Therefore,

x2 = 4

y2 = - 2

Midpoint of AC

= ( - 4 + 4 ) / 2, ( - 2 - 2 ) / 2

= ( 0 / 2, - 4 / 2 )

= ( 0, - 2 )

The midpoint of AC is ( 0, - 2 ) when coordinates of A (-4,-2), B(0,4), and C(4,-2) is given.

What is the Midpoint of a Line?

The midpoint of a line is a point that is equidistant from the endpoints of the line and in the middle of the line. If the endpoints of the line are (x)1, (y)1, and (x)2, (y)2, then the formula for the midpoint of the line is {[(x)1 + (x)2]/2, [(y)1 + (y)2]/2}.

Mid point formula is  given as : -

( x1 + x2 ) / 2, ( y1 + y2 ) / 2

Here,

Let ( x1, y1 ) = ( - 4, - 2 )

x1 = - 4

y1 = - 2

Let ( x2, y2 ) = ( 4, -2 )

x2 = 4

y2 = - 2

now using Midpoint formula to find the coordinates of AC

= ( - 4 + 4 ) / 2, ( - 2 - 2 ) / 2

= ( 0 / 2, - 4 / 2 )

= ( 0, - 2 )

Therefore, the midpoint of AC is ( 0, - 2 )

Read more about Midpoint of a Line at :

https://brainly.com/question/14687140

#SPJ5

Solved Correct Answer B ( conjucted with association of y= 5x + 5 - Graphed (0,5)

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the volume of the cone is

V=  πr²[tex]\frac{h}{3}[/tex]

Answer: Go up and confront them because i hate when people do that!

Step-by-step explanation:

Answer:

Slap them

Step-by-step explanation:

Don't let people talk bad about you/j

What you should actually do and a answer the teacher is looking for would be to either ignore it and move on because there is not use starting drama or to confront them and ask what they are saying about you so that you don't jump to conclusions

Answer:

112

Step-by-step explanation:

lol not 100% sure

Answer:

6w-24

Step-by-step explanation:

You would distribute 6 into the parentheses, which would turn (w-4) to 6w-24

Answer:

(w - 4)6

Step-by-step explanation:

its the same exact thing but if you're looking for the simplified version then it's 6w-24

Answer:

2 1/10 x 4 1/5 x 3 1/2 = 30 87/100 feet

(Remember multiply one by one first multiply 2 1/10 x 4 1/5 = 8 41/50

then multiply 8 41/50 with 3 1/2 to get = 30 87/100 is your answer)

Step-by-step explanation:

Just multiply the given lengths. A 3 dimensional shape has to be given 3 sides in order to know the area/volume: Length x Width x Height

Answer:

Monthly installments = £250

Step-by-step explanation:

Given

Total cost of holiday = £2400

Ratio deposit : total of the monthly payments=3:5

Total deposit made = [tex]\frac{3}{3+5} * 2400 = 900[/tex]

Total amount of the monthly payments = 2400 -900 = 1500

She pays six equal installments.

Amount of installments = 1500/6 = 250

Monthly installments = £250

Using proportions, it is found that her monthly payments are of £250.

According to the ratio, we have that:

[tex]\frac{x}{2400 - x} = \frac{3}{5}[/tex]

Applying cross multiplication:

[tex]5x = 3(2400 - x)[/tex]

[tex]8x = 7200[/tex]

[tex]x = \frac{7200}{8}[/tex]

[tex]x = 900[/tex]

Hence, the monthly payments add to £1500.

She makes 6 equal monthly payments, hence:

[tex]p = \frac{1500}{6} = 250[/tex]

Her monthly payments are of £250.

A similar problem is given at https://brainly.com/question/24372153

Answer:

A. SSS

Step-by-step explanation:

Answer:

15 people

Step-by-step explanation:

let x=total # of people on the team

80%=12

80/100=12/x

cross multiply

80x=1200

division property of equality (divide both sides by 80)

x=15

There are 15 people on the team.

Answer:

A

Step-by-step explanation:

I took the assignment before hand thats the answer.