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4 years ago

Given a polynomial f(x), if (x + 7) is a factor, what else must be true? Help plzzz im running out of time

1 answer:

4 0

Answer: f(-7) = 0
For the factored form of f(x), if x = -7, then one of the factors will be equal to 0, since (-7 + 7) = 0. This will cause the entire y-value to be 0, because anything multiplied by 0 = 0.

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Find the area of a parallelogram ABCD with AB =7 m. AD = 20 m and BAD = 62°.

nikklg [1K]

9514 1404 393

Answer:

123.6 m²

Step-by-step explanation:

The area is given by the formula ...

A = (AB)(AD)sin(∠A)

A = (7 m)(20 m)sin(62°) ≈ 123.6 m²

4 0

3 years ago

Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone

Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

Binomial probability distribution

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

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of each system working:

4 components, which means that $n = 4$

Each has a 30% probability of failing, so $p = 1 - 0.3 = 0.7$

For the system to work, all 4 components have to work. This is P(X = 4).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401$

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so $n = 7$

0.2401 probability of a system working.

We have to find P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615$

16.15% probability that exactly 3 of them would function

5 0

3 years ago

What is 4^12 x 125^7? Express your answer in scientific notation

lianna [129]

Answer:

8×10^21

Step-by-step explanation:

3 0

3 years ago

Help with 2 and 5 plzzzzz

Katyanochek1 [597]

Multiply all the numbers on 2

4 0

3 years ago

At the gas station, each liter of gas costs $ 3 $3dollar sign, 3, but there's a promotion that for every beverage you purchase y

IgorC [24]

Answer:

Yes! Our total savings on gas proportional to the number of beverages you purchase.

Step-by-step explanation:

Here, each liter of gas costs $3.

Every beverage you purchase you save $0.20.

So, if you purchase for $9, you will save 3*$0.20 = $0.60

So, this is proportional because when increase in purchase, there is proportional increase in savings.

6 0

4 years ago