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weeeeeb [17]
2 years ago
6

Given the function f(x) = −5x2 − x + 20, find f(3). −28 −13 62 64

Mathematics
2 answers:
Alik [6]2 years ago
7 0

Answer:

A. -28

Step-by-step explanation:

Katyanochek1 [597]2 years ago
5 0

Answer:

Option (a) is correct.

The value of given function  f(x)=-5x^2-x+20 at x = 3 is -28

Step-by-step explanation:

Given : Function f(x)=-5x^2-x+20

We have to find the value of given function at x = 3

Consider the given function  f(x)=-5x^2-x+20

Since, we have tof ind the value of function at x = 3

Put x = 3 in given function f(x)

f(3)=-5(3)^2-(3)+20

Simplify, we have,

f(x)=-45-3+20=-28

Thus,  the value of given function  f(x)=-5x^2-x+20 at x = 3 is -28

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I was told that if I had perfect attendance, I would get an extra 4% in my check as a bonus. Therefore, if I earned $960.00 befo
MakcuM [25]

Answer:

Your total income with perfect attendance would be $998.40

Step-by-step explanation:

First you need to figure out how much the 4% bonus is by multiplying 4% by $960.

But first you need to convert 4% to a decimal so it becomes 0.04

Then multiply it by $960 which would get you $38.40

So the 4% bonus is $38.40 but you need to know how much your total income is with the bonus.

So you need to add $38.40 and $960 which will get you $998.40

The total income with perfect attendance would be $998.40

3 0
2 years ago
A probability calculator is required on this problem; answer to six decimal places. Suppose we will spin the wheel pictured 400
KiRa [710]

Answer:

P(90< X< 110)= P(\frac{90-80}{8}

And we can find this probability with this difference:

P(90< X< 110)=P(z

And we can find the real value with the following excel code using the binomial distribution:

"=BINOM.DIST(110,400,0.2,TRUE)-BINOM.DIST(89,400,0.2,TRUE)"

And we got 0.118 a very close value from the value obtained using the normal approximation

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=400, p=0.2)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

We need to check the conditions in order to use the normal approximation.

np=400*0.2=80 \geq 10

n(1-p)=400*(1-0.2)=320 \geq 10

So we see that we satisfy the conditions and then we can apply the approximation.

If we appply the approximation the new mean and standard deviation are:

E(X)=np=400*0.2=80

\sigma=\sqrt{np(1-p)}=\sqrt{400*0.2(1-0.2)}=8

So then we can approximate the random variable as X \sim N(\mu = 80, \sigma = 8)

And we want this probability:

P(90< X< 110)

We can use the z score formula given by:

z = \frac{x -\mu}{\sigma}

And replacing we got:

P(90< X< 110)= P(\frac{90-80}{8}

And we can find this probability with this difference:

P(90< X< 110)=P(z

And we can find the real value with the following excel code using the binomial distribution:

"=BINOM.DIST(110,400,0.2,TRUE)-BINOM.DIST(89,400,0.2,TRUE)"

And we got 0.118 a very close value from the value obtained using the normal approximation

8 0
2 years ago
Kamden is a mind-reading alien. He had each friend draw and look at a card, then he guessed whether the card had a star on it. T
torisob [31]

Answer: This is what Khan Academy said the answer was

7 0
2 years ago
Which inequality is true if p= 3.4?
BigorU [14]

Answer:

None of the equations are true for p = 3.4

Step-by-step explanation:

In order for the inequality to be valid we need to apply the value for p and check wether or not it is true. We gonna do for each of the following:

A. 3p < 10.2

3*3.4 < 10.2

10.2 < 10.2

Not true, since the left side is equal to the right side and not less.

B. 13.6 < 3.9p

13.6 < 3.9*3.4

13.6 < 13.26

Not true since 13.6 is greater than 13.26

C. 5p > 17.1

5*3.4 > 17.1

17 > 17.1

Not true since 17 is less than 17.1

D. 8.5 > 2.5p

8.5 > 2.5*3.4

8.5 > 8.5

Not true since the left side is equal to the right side.

7 0
2 years ago
Kora uses the following ingredients to make 111 s'more.
rosijanka [135]

Answer:200577

Step-by-step explanation:

Cuz I said it is

5 0
2 years ago
Read 2 more answers
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