All categories

3 years ago

Match the Vocab Word to the definition.

1 answer:

8 0

Distributive property, multiply a sum by multiplying each added separately and then adding the products a(b+c)=ab+ac k(m-n)=km-kn

Term, Part of an expression that is added or subtracted. These can be a single number, variable, or numbers and variables multiplied together.

Variable, A letter or symbol that represents a value.

Constant, It’s a number kn it’s own, but it has a fixed value.

Coefficient, the number in front of a variable.

Hope this helped!!

You might be interested in

One number is 5 times another. If their<br> difference is 96, find the numbers.

earnstyle [38]

Answer:24

Step-by-step explanation:

24*5=120.

So the difference between 120-24=96.

4 0

3 years ago

Last one!! Help for brainliest!!

bixtya [17]

Answer:

$12x^{2}+18x-7$

Step-by-step explanation:

$f(g(x))=3(2x)^{2}+9(2x)-7$

$3(4x^{2})+18x-7$

$12x^{2}+18x-7$

4 0

3 years ago

The manager of a furniture factory finds that it costs $3000 to manufacture 80 chairs in one day and $4800 to produce 280 chairs

Delicious77 [7]

9514 1404 393

Answer:

C = 9x +2280

Step-by-step explanation:

The 2-point form of the equation for a line can be a place to start.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

C = (4800 -3000)/(280 -80)(x -80) +3000 . . . . . use given values

C = 1800/200(x -80) +3000 . . . . simplify some

C = 9x -720 +3000 . . . . eliminate parentheses

C = 9x +2280

8 0

3 years ago

What does this simplify to? 3+5.25 = 1 - 2.8x

ahrayia [7]

Answer:

-2.59 = x

Step-by-step explanation:

3+5.25 = 1 - 2.8x

Combine like terms

8.25 = 1-2.8x

Subtract 1 from each side

8.25 -1 = 1-1-2.8x

7.25 = -2.8x

Divide each side by -2.8

7.25/-2.8 = -2.8x/-2.8

-2.589285714 = x

Rounding

x=-2.59

7 0

3 years ago

The probability that a person fails to meet CDC Physical Activity Guidelines for both aerobic and muscle-strengthening activity

Natasha2012 [34]

Answer:

a) the probability that a randomly selected person fails to meet the activity guidelines or eats a poor diet is 0.83

b) the probability that a randomly selected person is leading a healthy lifestyle is 0.17

c) the probability that they all 4 people eat a poor diet assuming independence is 0.05308

d) the probability that the first one meets the Physical Activity Guidelines and the last two do not is 0.1364

Step-by-step explanation:

Given the data in the question;

Let E represent the events

E1 = P( person fails to meet CDC Physical Activity Guidelines ) = 0.77

E2 = P( person eats a poor diet ) = 0.48

E3 = P(E1 ∩ E2) = P( both ) = 42

a) What is the probability that a randomly selected person fails to meet the activity guidelines or eats a poor diet?

the probability that a person eats a poor diet or fails to meet the activity guidelines will be;

P( E1 ∪ E2 ) = P(E1) + P(E2) - P(E1 ∩ E2)

so we substitute

P( E1 ∪ E2 ) = 0.77 + 0.48 - 0.42 = 0.83

Therefore, the probability that a randomly selected person fails to meet the activity guidelines or eats a poor diet is 0.83

b) Find the probability that a randomly selected person is leading a healthy lifestyle. That is, they meet the Physical Activity Guidelines and eat a diet that is not poor?

In the light of De-Morgan’s Laws

P( $E_1^c$ ∩ $E_2^c$ ) = 1 - P( E1 ∪ E2 )

P( $E_1^c$ ∩ $E_2^c$ ) = 1 - 0.83 = 0.17

Therefore, the probability that a randomly selected person is leading a healthy lifestyle is 0.17

c) If you randomly select 4 people, what is the probability that they all eat a poor diet assuming independence?

if we select 4 people;

E2 = P( person eats a poor diet ) = 0.48

P = ( 0.48 )⁴ = 0.05308

Therefore, the probability that they all 4 people eat a poor diet assuming independence is 0.05308

d) If you randomly select 3 people, what is the probability that the first one meets the Physical Activity Guidelines and the last two do not?

we select 3 people;

P( person fails to meet CDC Physical Activity Guidelines ) = 0.77

P( person meet CDC Physical Activity Guidelines ) = 1 - 0.77 = 0.23

P = 0.23 × ( 0.77)²

P = 0.1364

Therefore, the probability that the first one meets the Physical Activity Guidelines and the last two do not is 0.1364

8 0

3 years ago