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3 years ago

Rewrite each fraction with a denominator of 121212. \dfrac{3}{4} =

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

3 0

Answer:

9/12

Step-by-step explanation:

First you multiply 3x12 which equal 36 then you divide 36 by 4 which equal 9 so your answer is 9/12

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If triangle RST is within Quadrant 4 and cos R= √3/2, what is the value of cotR

Nesterboy [21]

Answer:

CotR = -√3

Step-by-step explanation:

In the 4th quadrant, sin is negative;

Since Cos R = √3/2,

Adjacent = √3

Hypotenuse = 2

Get the opposite;

opp^2 = 2^2 -(√3)^2

opp^2 = 4 - 3

opp^2 = 1

Opp = 1

Get sinR

Sin R = opp/hyp

SinR= -1/2

CotR = cosR/sinR

CostR = (√3/2)/(-1/2)

CotR = √3/2* -2/1

CotR = -√3

6 0

3 years ago

Can transformations always be applied to shapes, even if they're not in a plane?

Tatiana [17]

A translation is a transformation of the plane in which a a plane figure slides along a straight line, and changes its position without turning. Each point moves the same distance and in the same direction. Hence all points subjected to the same translation undergo the same displacement.

8 0

3 years ago

What is x²+x-30 as a binomial?

Zolol [24]

X^2+x-30 -- find two numbers that add to one and multiply to -30, which would be 6 and -5. so now you have x^2+6x-5x-30. factor out x and 5 to get x(x+6)-5(x+6). so you get (x+6)*(x-5)

6 0

4 years ago

Read 2 more answers

The zoo charges $4 admission fee

Andrews [41]

Answer:

Intial Value; $4 (charged)

Rate of change: $2 every exhibit visited

Admission: $4

1 exhibit visited: $6

2 exhibits visited: $8

3 exhibits visited: $10

4 exhibits visited: $12

5 exhibits visited: $14

6 exhibits visited: $16

7 exhibits visited: $18

8 exhibits visited: $20

etc.

Step-by-step explanation:

4+2x = C

C= Cost

X = amount of exhibits visited

To find the total cost.

5 0

3 years ago

A cereal box filling machine is designed to release an amount of 16 ounces of cereal into each box, and the machine’s manufactur

Paraphin [41]

Using the z-distribution, it is found that since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean is not different to 16 ounces, that is:

$H_0: \mu = 16$

At the alternative hypothesis, it is tested if the mean is different, hence:

$H_1: \mu \neq 16$

<h3>What is the test statistic?</h3>

The test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

$\sigma$ is the standard deviation of the population.

n is the sample size.

The parameters for this problem are:

$\overline{x} = 15.75, \mu = 16, \sigma = 1.46, n = 150$ .

Hence:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{15.75 - 16}{\frac{1.46}{\sqrt{150}}}$

z = -2.1

<h3>What is the p-value and the conclusion?</h3>

Using a z-distribution calculator, for a two-tailed test, as we are testing if the mean is different of a value, with z = -2.1, the p-value is of 0.0357.

Since the p-value is less than 0.05, there is evidence that the mean amount of cereal in each box is different from 16 ounces at 0.05 significance.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

3 0

2 years ago