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3 years ago

Write the sentence as an equation. R divided by 312 is the same as 93

Mathematics

1 answer:

lora16 [44]3 years ago

4 0

Answer:

$\frac{R}{312}=93$

Step-by-step explanation:

Divide R by 312 (R on top of the fraction, 312 on bottom) and set it equal to 93.

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amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40

erastova [34]

Amanda in increasing her time exercising each week by a constants amount which means her method is linear so the answer is a

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3 years ago

A recent national survey found that high school students watched an average (mean) of 7.8 movies per month with a population sta

notka56 [123]

Answer:

Step-by-step explanation:

Given that :

Mean = 7.8

Standard deviation = 0.5

sample size = 30

Sample mean = 7.3 5.4772

The null and the alternative hypothesis is as follows;

$\mathbf{ H_o: \mu \geq 7.8}$

$\mathbf{ H_1: \mu < 7.8}$

The test statistics can be computed as :

$z = \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}$

$z = \dfrac{7.3- 7.8}{\dfrac{0.5}{\sqrt{30}}}$

$z = \dfrac{-0.5}{\dfrac{0.5}{5.4772}}$

$z = - 5.4772$

The p-value at 0.05 significance level is:

p-value = 1- P( Z < -5.4772)

p value = 0.00001

Decision Rule:

The decision rule is to reject the null hypothesis if p value is less than 0.05

Conclusion:

At the 0.05 significance level, there is sufficient information to reject the null hypothesis. Therefore ,we conclude that college students watch fewer movies a month than high school students.

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3 years ago

(-1, 4) and (1,-1)<br> And (0,-8) and 3,2)

Free_Kalibri [48]

Answer:

These are all points on a graph. I'm not sure what you're asking.

7 0

4 years ago

A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred

Paha777 [63]

Answer:

Step-by-step explanation:

Treat this like compound interest: Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P. Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

ln 3

ln (1 + r) = ---------------

100

= 1.0986 / 100 = 0.01986

We must solve this for r. Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today. Use the same equation: A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

8 0

3 years ago

Which of the following are not polynomials

Hoochie [10]

Answer:

A, C, F.

Step-by-step explanation:

A polynomial consists of an expression that involves only non-negative integer exponents for the variable; in all of your cases, the variable is x.

So, expression A has a square root of x, that is a rational exponent.

Expression C has variables in the denominators, that is negative exponent.

Expression F has variable at the exponent.

8 0

3 years ago

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