1. Write your answer with the number only, for example 555. Do not use a
degree symbol. *
The angles below form a linear pair.
What is the measure of angle ABC?

Answer:

Step-by-step explanation:

Amount of decrease = 82-60 = 22

percentage decrease = 22/82 ≅ 0.268 = 26.8%

Answer:

2 on 15, 4 on 16, 1 on 17, 3 on 18, 1 on 19 5 on 20

Step-by-step explanation:

I took the test                          <>_<>

Answer:

5x + 7

Step-by-step explanation:

Distribute 3x + 15 + 2x - 8

Combine like-terms 5x + 7

Answer:

5x + 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

3(x + 5) + 2(x - 4)

Step 2: Simplify

Answer:

About 2,800.

Step-by-step explanation:

2,000(1.05)^x

x =7.

2,000(1.05)^7

find 1.05 to the power of 7, which is 1.4071....

then times 1.4071... by 2,000. You will get 2,814.2 - or about 2,800.

The population of butterflies after 7 years will be approximately 2814 butterflies.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

The formula f(x) = 2000(1.05)ˣ can be used to model the population of butterflies after x years, where x is a non-negative integer.

Here, the initial population is 2000.

To find the population of butterflies after 7 years, we can substitute x = 7 into the given function and evaluate:

f(7) = 2000(1.05)⁷

Using a calculator, we get:

f(7) ≈ 2814

Therefore, the population of butterflies after 7 years will be approximately 2814 butterflies.

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Answer:

Tax: $3.36

Total Cost: 51.36

Step-by-step explanation:

First, we need to figure out the tax, which is 7% of 48. Meaning that the tax is $3.36. Then, we add that to the cost of the sweater which is $48, which means that the total cost is 3.36 + 48 = $51.36

Plz mark as brainliest :D

Answer:

6/8 or in simple terms, 3/4

Step-by-step explanation:

[tex] \frac{1}{2} + \frac{1}{4} \\ = ( \frac{1}{4} + \frac{1}{4} ) + \frac{1}{4} \\ = ( \frac{1}{8} + \frac{1}{8} ) + (\frac{1}{8} + \frac{1}{8} ) + (\frac{1}{8} + \frac{1}{8} ) \\ = ( \frac{2}{8} ) + ( \frac{2}{8} ) + ( \frac{2}{8} ) \\ = \frac{6}{8} \\ = \frac{2 \times 3}{2 \times 4} \\ = \frac{3}{4} [/tex]

The given operation of the two fractions can be found as 6/8. The correct option is (D).

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

The given expression is 1/2 + 1/4.

It can be solved using the strip given as below,

The number of 1/8 sections under 1/2 in the strip is 4.

And, the number of 1/8 sections under 1/4 in the strip is 2.

Then, the addition of the two fractions is equivalent to the total number of 1/8 sections under both of them.

It can be written in mathematical form as,

⇒  1/2 + 1/4

⇒ 4 × 1/8 + 2 × 1/8

⇒ 6/8

Hence, the required sum of the given fractions can be evaluated as 6/8.

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Answer:

y = 0.44 x - 0.1

Step-by-step explanation:

Using the points (2.5, 1) and (27.5, 12) (first and last points of the plot - please see attached image), we obtain the following slope:

slope = (y2 - y1) / (x2 - x1)

slope = (12 - 1 ) / (27.5 - 2.5) = 0.44

Now we use this slope to complete the equation of the line through those points:

y = 0.44 x + b

1 = 0.44 (2.5) + b

1 = 1.1 = b

b = 1 - 1.1

b = - 0.1

Therefore, the equation of the line becomes:

y = 0.44 x - 0.1

Answer:

y = 0.44x + 0

Step-by-step explanation:

I am going to use the first and lowest and highest points on the graph to make an equation representing the approximate slope of this graph.

(2.5,1) and (27.5,12)

To find slope I am going to calculate change in y over change in x.

12 - 1 over 27.5 - 2.5 = 11/25 = 0.44

So far we have y = 0.44x + 0

To find "b" (the y-intercept) we are going to plug zero in for x, because the defintion of y-intercept is "the value of y when x = 0"

We get that the y intercept equals 0.

y = 0.44x + 0 or just y = 0.44x

I know I won't get brainliest, but hopefully, this helps, and you said that the other person couldn't get brainliest unless someone else answered, so here ya go!

Answer: f(3) is 5.

Step-by-step explanation:

The value of the function f(3) is 5 from the given graph.

A relation is a function if it has only One y-value for each x-value.

We have to find the value of f(3) from the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The value of f(3) is 5.

To find this we have to draw a perpendicular line at x=3.

Now let us check the corresponding point of y where the point and perpendicular line intersect.

Hence, the value of the function f(3) is 5 from the given graph.

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6(3y+2) + 8(4y+3) + 6y =

Distribute:

18y + 12 + 32y + 24 + 6y =

Combine like terms:

56y + 36

Answer:

an irrational number

Step-by-step explanation:

Answer:

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Step-by-step explanation:

For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Sampling with replacement:

I consider a success choosing a black ball, so [tex]p = \frac{50}{150+50} = \frac{50}{200} = 0.25[/tex]

We want 2 black balls and 2 white, 2 + 2 = 4, so [tex]n = 4[/tex], and we want P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109[/tex]

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Sampling without replacement:

150 + 50 = 200 total balls, so [tex]N = 200[/tex]

Sample of 4, so [tex]n = 4[/tex]

50 are black, so [tex]k = 50[/tex]

We want P(X = 2).

[tex]P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116[/tex]

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Answer: a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].

Step-by-step explanation:

Let p represent the proportion of all households in the city that gave a charitable donation in the past year.

Reseracher wants to check whether p > 50% or p > 0.5

Since Alternative hypothesis contains ">, <, ≠" and null hypothesis is the opposite of alternative hypothesis.

So Null hypothesis: [tex]H_o: p=0.5[/tex]

Alternative hypothesis: [tex]H_a:p>0.5[/tex]

The correct option is a. [tex]H_o : p=0.5[/tex] and [tex]H_a:p>0.5[/tex].

Answer:

What?

Step-by-step explanation:

I don't understand.

Answer:

Step-by-step explanation:

I assume you want to simplify this expression.

First take away the parenthesis.

-5x+4+-1x+1

Now combine like terms.

-5x+-1x=-5x-1x=-6x.

4+1=5

So -6x+5 is your answer.

Answer:

24

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

Answer:

x=18°

Step-by-step explanation:

5x-18=4x

subtract 4x from both sides

x-18=0

add 18 to both sides

x=18°

Answer:

The answer would be 8 people attended in the second meeting.

Step-by-step explanation:

Multiply 2 by 4 to get 8.

Answer:

15%

Step-by-step explanation:

Answer:

a = 3

b = -6

-b/2a = 1

The vertex is (1, 10)

Answer:

1)105°

2) 45°

3)63°

4)108°

5)68°

Step-by-step explanation:

Hope this helps! :)

Answer:

C. (x + 8) ( x - 8)

Step-by-step explanation:

x² - 64

= x² - 8²

= (x + 8) ( x - 8)

Hope it will help :)

Answer:

38.5 in squared

Step-by-step explanation:

Answer

Step-by-step explanation: =/

Answer:

c

Step-by-step explanation:

Answer:

C. $37.39

Step-by-step explanation:

We have our original value, $37.69, and we are given a table that adds or subtracts a certain amount. The question is asking what is the final product by Friday.

To solve, all we have to do is subtract and add the price of stock per each day.

$37.69

On Tuesday, the stock price went up by $0.69 cents.

So we must add .69 to 37.69

37.69 + .69

38.38

On Wednesday, the stock price lowered by 82 cents.

So we subtract .82 from 38.38

38.38 - .82

37.56

On Thursday the stock price gained 37 cents, so do the same you did for Tuesday.

37.56 + .37

37.93

On Friday the stock price went down by 14 cents, so do the same you did for Wednesday.

37.93 - .14

37.79

Answer:

The lowest common factor of 72 and 108 is 216