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4 years ago

Which answer shows the foil mthod used to expand the product below (2x+3)(2x^2-5)

2 answers:

7 0

FOIL = First, Outside, Inside, Last

First - 2x*2x^2
Outside - 2x*(-5)
Inside - 3*2x^2
Last - 3*(-5)

Putting all of this together, we get 2x*2x^2 + 2x*(-5) + 3*2x^2 + 3*(-5), which would be option B

sattari [20]4 years ago

4 0

I think its 4x^3-10x+6x^2-15

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Mr. Johnson is planning what to wear tomorrow to school. He has a white shirt, a plaid shirt, and a blue shirt. He has four pair

myrzilka [38]

Answer:

12 different possibilities

Step-by-step explanation:

times them together...

3 different shirt options and 4 different pants options so,

3 x 4 = 12

or you could draw out a tree to show all of the different combinations...

7 0

3 years ago

You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an

navik [9.2K]

Answer:

1) yes ; 2) 1/36 ; 3) 1/36 ; 4) 1/18

Step-by-step explanation:

Given the following :

Two fair dice : 1 green ; 1 red

A) Are the outcomes on the dice independent:

Yes, becomes the outcome of the green dice does not have any effect on the outcome of the red dice.

B) Find P(1 on green die and 5 on red die).

Probability = (number of required outcome) / (total possible outcomes)

Total outcomes of a dice = 6

P(1 on green) = 1 / 6

P(5 on red) = 1/6

P(1 on green die and 5 on red die) :

(1/ 6) × (1/6) = 1/36

C) Find P(5 on green die and 1 on red die)

P(5 on green) = 1/6

P(1 on red) = 1/6

Find P(5 on green die and 1 on red die):

1/6 × 1/6 = 1/36

D) Find P((1 on green die and 5 on red die) or (5 on green die and 1 on red die))

P(5 on green die and 1 on red die) = 1/36

P(1 on green die and 5 on red die) = 1/36

P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) =

P(5 on green die and 1 on red die) + P(1 on green die and 5 on red die)

= (1/36 + 1/36) = 2 /36 = 1/18

8 0

3 years ago

What is the area? Please explain steps so I can attempt to understand

yarga [219]

Answer:

$12 \sqrt{2}$

Step-by-step explanation:

you can use hypotenuse formula

45-45-90 isosceles right triangle

so, 45= x

x² + x² = 24²

2x² = 24²

x²= 24.12

x= $\sqrt{288} = 12 \sqrt{2}$

or :

you can use this rule: if you see a 45 45 90 isosceles right triagngle (you can look picture) 45=a cm and 90 = $a\sqrt{2}$

so ;

$a \sqrt{2} = 24$

a= $12 \sqrt{2}$

hope this helps ^-^

3 0

4 years ago

Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93

Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

$M = \frac{a + b}{2}$

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 2.93 and 3.1 volts

This means that $a = 2.93, b = 3.1$ . So

Mean:

$M = \frac{2.93 + 3.1}{2} = 3.015$

Standard deviation:

$S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049$

What is the probability that a battery has a voltage less than 2.98?

$P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941$

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

6 0

3 years ago

Four movie tickets cost $36. At this rate, what is the cost of 5 and 11 movie tickets Please answer!

MrRissso [65]

For 5 movie tickets it’s $45 and for 11 it’s $99

6 0

3 years ago