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3 years ago

Is (x+2) a factor of x - 4x2 + 2x - 32

Mathematics

1 answer:

Margarita [4]3 years ago

8 0

Answer:

Step-by-step explanation:

x+2 can't be factor because of the -32

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The third term of an arithmetic sequence is $5$ and the eighth term is $-20$. What is the product of the 4th and 2015th terms?

Andreas93 [3]

Answer:

Step-by-step explanation:

Let n be the first term of this sequence and d the difference between two consecutive terms.

Following the arithmetic sequence formula,

The equation for the 3rd term:

n + 2d = 5

and the equation for the 8th term:

n + 7d = -20

We should start by finding d by subtracting the second equation from the first.

n + 2d - (n + 7d) = 5 - (-20)

-5d = 25

d = -5

We can then find the 1st term by plugging this number into the first equation.

n + 2 * -5 = 5

n - 10 = 5

n = 15

Now, using once again the arithmetic sequence formula, find the equation for the fourth term.

n + (4 - 1)*d

Plug in the values we found previously and solve:

15 + (4 - 1)*-5

= 15 + 3*-5

= 15 + (-15)

= 0

The 4th term is 0.

Remember that this problem is asking for the product of the 4th term and the 2015th term, and anything times zero equals to zero, so we don't even need to solve for the 2015th term!

Therefore, the answer to this problem is 0.

5 0

3 years ago

Suppose that the heights of adult women are normally distributed with b = 65 inches and

densk [106]

The probability of a randomly chosen woman taller than 65 inches is 0.5

Step-by-step explanation:

To find the probability of a random variable X which has a normal distribution do that

If X > b, find the z-score using the formula z = (b - μ)/σ, where μ is the mean and σ is the standard deviation
Use the normal distribution table of z to find the corresponding area to the right of z-score (Area to the right = 1 - area to the left)

∵ The heights of adult women are normally distributed with

μ = 65 inches

∵ σ = 2.5 inches

- We need to find the probability of the woman taller than 65 inches

∵ X > 65

∴ b = 65

- Find z-score

∵ $z=\frac{65-65}{2.5}=0$

- Use the normal distribution table to find the area corresponding to z

∵ The corresponding area of z = 0 is 0.5

- Area to the right = 1 - area to the left

∴ P(x > 65) = 1 - 0.5 = 0.5

The probability of a randomly chosen woman taller than 65 inches is 0.5

Learn more:

You can learn more about the probability in brainly.com/question/4625002

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

Help me please I don’t know

kondaur [170]

Answer:

5s+4=P

Step-by-step explanation:

6 0

3 years ago

Find the y intercept for the parabola defined by this equation: y=-5x^2-11x-2

Musya8 [376]

First, we have to set up the problem like this:
$y=-5\cdot \:0^2-11\cdot \:0-2$
There's a rule that says: $0^a=0$
We are going to use that.
Apply the rule...
$y=-0\cdot \:5-0\cdot \:11-2$
Multiply...
$y=-0-0\cdot \:11-2$
Multiply again...
$y=-0-0-2$
Subtract.
$y=-2$

We have found the y-intercept.
Have a nice day! :)

5 0

3 years ago

Please Help! I got an answer, but I think it's wrong.

Ghella [55]

Answer:

I am pretty sure u got it right

Step-by-step explanation:

3 0

3 years ago

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