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DIA [1.3K]
3 years ago
6

Which statement is true?

Mathematics
1 answer:
Ivahew [28]3 years ago
8 0

\dfrac{11}{20}=\dfrac{11\cdot7}{20\cdot7}=\dfrac{77}{140}\\\\\dfrac{4}{7}=\dfrac{4\cdot20}{7\cdot20}=\dfrac{80}{140}\\\\\dfrac{77}{140} < \dfrac{80}{140}\to\dfrac{11}{20} < \dfrac{4}{7}\to\boxed{C.}

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Meredith picked 4 times as many green peppers as red peppers. If she picked a total of 20 peppers, how many green peppers did sh
Fed [463]
She picked 16 green peppers
6 0
3 years ago
Factor the polynomial by grouping 7x2+16x-15
Alika [10]
16x can be broken down into factors of -105.
21 and -5 come to mind.

7x² + 21x - 5x - 15
7x(x + 3) - 5(x + 3)
(7x - 5)(x + 3) is the factorised form.
7 0
3 years ago
HELP! Which of the following pairs of functions are inverses of each other?
IrinaK [193]

one way is to solve for the invers of the first function

remembe, to solve, replace f(x) or g(x) with y, switch x and y, solve for y and replace it with f⁻¹(x)


A.

f(x)=x/2+8

y=x/2+8

x=y/2+8

x-8=y/2

2x-16=y

f⁻¹(x)=2x-16

nope, not A



B.

f(x)=3x³+16

y=3x³+16

x=3y³+16

x-16=3y³

(x-16)/3=y³

∛((x-16)/3)=y

f⁻¹(x)=∛((x-16)/3)

nope, not the same

not B


C.

f(x)=18/x-9

y=18/x-9

x=18/y-9

x+9=18/y

y(x+9)=18

y=18/(x+9)

f⁻¹(x)=18/(x+9)

correct, the answer is C




answer is C



8 0
3 years ago
Read 2 more answers
In a sample of 230 teenagers, 202 would like to have smaller class sizes at their school. Find the sample
marishachu [46]

Answer:

The sample proportion is 0.88.

The margin of error is of 0.04.

The interval likely to contain the true population proportion is (0.84,0.92).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

Margin of error:

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

Sample of 230 teenagers, 202 would like to have smaller class sizes at their school.

This means that n = 230, and that the sample proportion is:

\pi = \frac{202}{230} = 0.88

The sample proportion is 0.88.

Standard 95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Margin of error:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.96\sqrt{\frac{0.88*0.12}{230}}

M = 0.04

The margin of error is of 0.04.

Confidence interval:

Sample proportion plus/minus margin of error. So

0.88 - 0.04 = 0.84

0.88 + 0.04 = 0.92

The interval likely to contain the true population proportion is (0.84,0.92).

5 0
3 years ago
HELP PLEASE ASAP!!! PLEASE AND THANKS
Mademuasel [1]

Answer:

x >= 12

Step-by-step explanation:

2x + 7 <= 3x - 5

7 + 5 <= 3x - 2x

12 <= X

5 0
3 years ago
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