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2 years ago

Function g can be thought of as a scaled version of f(x) = x^2 write the equation for g(x)

Mathematics

1 answer:

dsp732 years ago

4 0

Answer:

g(x) = - x^2

Step-by-step explanation:

The negative sign flips the f(x) graph across the x-axis.

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Simplify: (2x2 − 9x + 3) + (−7x2 + 4x − 2)

Leokris [45]

Combine like terms
2x^2 + -7x^2 = -5x^2
-9x + 4x = -5x
3 + -2 = 1
put back together
-5x^2 - 5x +1

4 0

3 years ago

The probability that a lab specimen contains high levels of contamination is 0.10. A group of 4 independent samples are checked.

galben [10]

Answer:

a) 0.6561

b) 0.2916

c) 0.3439

Step-by-step explanation:

We are given the following information:

Let us treat high level of contamination as our success.

p = P(High level of contamination) = P(success) = 0.10

n = 4

The, by binomial distribution:

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}\\\text{where x is the number of success}$

a) P(No high level of contamination)

We put x = 0, in the formula.

$P(X=0) = \binom{4}{0}.(0.10)^0.(1-0.10)^{4} =0.6561$

Probability that no lab specimen contain high level of contamination is 0.6561

b) P(Exactly one high level of contamination)

We put x = 1, in the formula.

$P(X=1) = \binom{4}{1}.(0.10)^1.(1-0.10)^{3} =0.2916$

Probability that no lab specimen contain high level of contamination is 0.6561

c) P(At least one contains high level of contamination)

$p(x \geq 1) = 1 - p( x = 0) = 1 - 0.6561 = 0.3439$

Probability that at least 1 lab specimen contain high level of contamination is 0.3439

8 0

3 years ago

An Olympic hurdler was part of the way through her race when she fell. She got up and completed the final 353535 meters of her 1

guajiro [1.7K]

hurdler falled down before the 353535 steps of 100100100 race.

we need to find where she fell down

so we need subtract 353535 from 100100100

$100100100-353535=99746565$

she falled at 99746565 step before completing the race

5 0

3 years ago

An employee shreds 341 pages in 11 minutes of work. How many pages will she shred in 20 minutes?

gavmur [86]

We have been given that an employee shreds 341 pages in 11 minutes of work.

First of all we will divide 341 by 11 to find number of pages shred by employee in one minute.

$\text{Pages shred by employee in one minute}=\frac{341}{11}=31$

Now let us multiply 31 by 20 to find number of pages shred by employee in 20 minutes.

$\text{Pages shred by employee in 20 minutes}=31\cdot20=620$

Therefore, employee will shred 620 pages in 20 minutes.

6 0

2 years ago

PLEASE HELP ME!John invests $2,975 at 4% interest compounded annually. What will be the balance in the account after 2.5 years?

ch4aika [34]

2975(1+0.04)^2.5=???? Hope it helps :-)

8 0

3 years ago

Read 2 more answers