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Answer:

8. D

10. D

12. B

if the lines are parallel, then the slopes are the same. if it's a perpendicular line then the slope is the opposite reciprocal.

Answer:

[tex]2x-3y[/tex]

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define expression

[tex]\frac{-1}{4}(-8x+12y)[/tex]

Step 2: Simplify

Answer:

B

Step-by-step explanation:

Answer:

b fasho

Step-by-step explanation:

Answer:

The second choice. About 1 cup.

Step-by-step explanation:

1/8 + 4/5 = 37/40

Thats around 1 full cup.

Answer:

♥B♥ about 1 cup!

Im pretty sure!

                                    ♥  お力になれて、嬉しいです！♥

Answer:

A) Z = -0.24

We can interpret this as the z-score corresponding to the individual who obtained 38. 1 miles per gallon is -0.24.

B) Q1 = 36.8 and Q3 = 41

C)IQR = 4.2

This means that the distance between the first and third quartile is 4.2

D) LF = 30.5 and UF = 47.3

the only outlier is 48.9 which is more than UF

Step-by-step explanation:

We are given the data representing the miles per gallon of a random sample of cars with a three-cylinder as;

32.7, 35.7, 38.0, 38.7, 40.1, 42.3, 34.3, 36.2, 38.1, 39.0, 40.6, 42.9, 34.5, 37.4, 38.3, 39.4, 41.4, 43.4, 35.3, 37.6, 38.5, 39.7, 41.7, 48.9

Sum of data is;

ΣX = 32.7 + 35.7 + 38.0 + 38.7 + 40.1 + 42.3 + 34.3 + 36.2 + 38.1 + 39.0 + 40.6 + 42.9 + 34.5 + 37.4 + 38.3 + 39.4 + 41.4 + 43.4 + 35.3 + 37.6 + 38.5 + 39.7 + 41.7 + 48.9 = 934.7

Formula for mean is;

μ = ΣX/n

μ = 934.7/24

μ = 38.95

Formula for sample standard deviation of is;

s = √[(1/(n - 1))Σ(X - μ)²]

From online calculator, we have a value of;

s = 3.505

A) Formula for z-score is;

Z = (x - μ)/s

We are given x = 38.1

Thus;

Z = (38.1 - 38.95)/3.505

Z = -0.24

We can interpret this as the z-score corresponding to the individual who obtained 38. 1 miles per gallon is -0.24.

B) Arranging the set of given values in ascending order, we have;

32.7, 34.3, 34.5, 35.3, 35.7, 36.2, 37.4, 37.6, 38.0, 38.1, 38.3, 38.5, 38.7, 39.0, 39.4, 39.7, 40.1, 40.6, 41.4, 41.7, 42.3, 42.9, 43.4, 48.9

Number of data; n = 24

First quartile is;

Q1 = ((n + 1)/4)th = ((24 + 1)/4)th = 25/4 = 6.25th term

Thus, we will find the average of the 6th and 7th term;

Q1 = (36.2 + 37.4)/2

Q1 = 36.8

Similarly;

Q3 = ¾(n + 1)th = ¾(24 + 1)

Q3 = ¾ × 25 = 18.75th term

Thus, we will find the average of the 18th and 19th term.

Q3 = (40.6 + 41.4)/2

Q3 = 41

C) Formula for inter quartile range is;

IQR = Q3 - Q1

IQR = 41 - 36.8

IQR = 4.2

This means that the distance between the first and third quartile is 4.2

D) Formula for lower fence is;

LF = Q1 - (1.5 × IQR)

LF = 36.8 - (1.5 × 4.2)

LF = 30.5

Formula for upper fence is;

UF = Q3 + (1.5 × IQR)

UF = 41 + (1.5 × 4.2)

UF = 47.3

Now, an outlier will be any values in the given set less than LF or more than UF.

From the given set, the only outlier is 48.9 which is more than UF

Answer:

Step-by-step explanation:

What are the choices?

Answer: #2

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

Money Laura had originally = $30

Step-by-step explanation:

Let the money Laura had =  x

Money spent = 2/5 of x = [tex]\frac{2}{5}x[/tex]

Remaining money  = $ 18

[tex]x - \frac{2}{5}x = 18\\\\\frac{x*5}{1*5}-\frac{2}{5}x = 18\\\\\frac{5x}{5} - \frac{2x}{5} = 18\\\\\frac{3x}{5}=18\\\\ 3x = 18*5\\\\3x = 90\\\\x = \frac{90}{3}\\\\x = 30[/tex]

Money Laura had originally = $30

In the first step apply the distributive property or FOIL to find zw. Option C is correct.

Given that,
Let z = 19 + i and w = 4 + 10i.
The first step is to be determined.

The number that constitute of real and imaginary numbers are called a complex numbers. Complex number is represents as z = a + ib, where a = real number and bi = imaginary number

z = 19 + i and w = 4 + 10i
in order to find the product of complex numbers z and w following are the steps,
z.w =   ( 19 + i )( 4 + 10i )

Step ⇒ 1
Applying distributive law,
   z.w = 19 * ( 4 + 10i ) + i * ( 4 + 10i )
Step ⇒ 2
opening the parenthesis,
z.w = 19 * 4 + 19*10i + i * 4 + i * 10i
similarly, further steps are
z.w = 76 + 190i +4i + 10i²
since i² = -1
z.w = 76 + 194i - 10
z.w = 66 + 194i

Thus, in the first step apply the distributive property or FOIL to find zw. Option C is correct.

Learn more about complex numbers here: https://brainly.com/question/28007020

#SPJ2

Answer:

C

Step-by-step explanation:

Apply the distributive property of FOIL

5*102

tip: an integer is a whole number- e.g 5, 69, 46

Answer:20 degrees

Step-by-step explanation:

Answer:

I'm pretty sure it's -4

Step-by-step explanation:

If you substitute in -2, you get e(-2)= -(-2)+ -6

which is equal to 2-6

2-6=-4

Answer:

e(-2)=-4

Step-by-step explanation:

e(-2)=-(-2)+-6

=2-6

=-4

Answer:

0

Step-by-step explanation:

=(5+5)-(5+5) <-- Do what's inside the parenthesis first

=10 - 10 <-- Subtract

=0

Answer:

Denominator is the hidden word.

Step-by-step explanation:

8/18, 9/27, 42/48, 21/70, 14/35, 8/30, 15/39, 18/100, 8/64, 70/98, and 63/81 are all not in simplest form. Their letters (ENAMNIODOTR) unscramble to "denominator."

Answer:

x = 17

Step-by-step explanation:

3x + -23 = 28

3x - 23 = 28

3x = 28 + 23

3x = 51

x = 51/3

x = 17

Answer:

yeah

Step-by-step explanation:

hmm

Answer:

yes you can

Step-by-step explanation:

for example you have a second order algebraic equation, which have the general form ax^2 + bx + c = 0, for any constants a, b, and c, you can use the quadratic equation to find the values of x. However, sometimes it is easier to simply factor the expression into (fx+g)(hx+i) = 0, for any constants f, g, h, and i, and then solve the two resulting equations fx+g = 0 and hx+i=0 for the values of x.

i hope this helps

Answer:

1/3 feet

Step-by-step explanation:

We are given that

On a scale drawing

45 inches represented =75 feet

We have to find a scale of 1/5 inch how many feet represents.

To find the value in feet represented by  a scale of 1/5 inch we will use unitary method.

Using unitary method

45 inches represents =75 feet

1 inch represents = feet

1/5 inch represents = feet

1/5 inch represents= feet

Hence, a scale of 1/5 inch represents 1/3 feet

Please mark brainliest, thank you

Answer:

You just typed the answer, it's units

Step-by-step explanation:

Answer:

Heyyy Its me CJ

Step-by-step explanation:

Hshsudidjc

Answer:

Jessica will repay a total of $19,050 on her loan.

Hope This Helps :3

Answer:

both b and c are correct options

Answer:

2,700

Step-by-step explanation:

thx for da points tee hee

Answer:

2700

Step-by-step explanation:

Răspuns:

1

Explicație pas cu pas:

Fie numărul = x

x + 4 = e - - (1)

e * 4 = f - - - (2)

Ecuația 2 - 4 împărțită la 4 = 4

(f - 4) / 4 = 4

Crucea se înmulțește

f - 4 = 16

f = 16 + 4

f = 20

Rezultatul 1 împărțit la 4 este egal cu 4

Prin urmare,

e = f / 4

f = 20

e = 20/4

e = 5

De la (1)

x + 4 = e

x + 4 = 5

x = 5 - 4

x = 1

Answer:

Step-by-step explanation:

Answer:

The median is 6.5

Answer:

The chemical reaction is due to chemical change in the chemicals within the light stick so it shows off color.

Step-by-step explanation:

The chemicals in the light stick interact with each other. This cause them to come together and give off a color of light.

Answer:

(x+8y)(x-8y)

Step-by-step explanation:

8 squared is 64 and so is y for y^2.

One positive and a negative turns into a negative, so that's why it's only one.

Answer:

20 in each bag

Step-by-step explanation: