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Rus_ich [418]
2 years ago
12

In the equation 3x - 9 = 3, what is the first step we should do?

Mathematics
1 answer:
zavuch27 [327]2 years ago
4 0

Anse

draw the line down the equal sign

Step-by-step explanation:

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Select the graph that represents the given set. (Click on the graph until the correct one is showing.) D = {(1, 1), (1, 2), (1,
vichka [17]

Answer: Vertical line x = 1

<u>Step-by-step explanation:</u>

(1, 1) (1, 2) (1, 3) (1, 4)

Notice that the x-value for each coordinate is 1.

The line is a vertical line (up & down) through x = 1

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3/11 is the simplified version of this fraction
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The equation below represents the trend line of a scatter plot showing the hours spent studying versus science test scores.
navik [9.2K]

Answer:

On the science test  the point  ( 0 , 424 ) the intercepts is bigger

Step-by-step explanation:

The relation hours spend vs science test score is

y  =  6.5*x  + 424

And the relation hours spend vs Maths test score is

y  =  7.2*x   + 34.7

Making   x =  0  ( student does not study at all ) we get:

For science score test woul be

y  =  0  + 424

In case of maths

y  =  0  + 34.7

That mean student without studying will get better score in science.

The point  ( 0 , 424)   ( science ) represents the interception with y axis

in Maths case such point is  ( 0 . 34.7)

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3 years ago
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The sales tax for a certain state can be found by multiplying the purchase price by . What is the sales tax on an item that is $
Tamiku [17]
Ok any more details or is that the question?
6 0
2 years ago
A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 40
bezimeni [28]

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

a. How large was the sample used in this survey?

We have that s = 25, \sigma = 400. We want to find n, so:

s = \frac{\sigma}{\sqrt{n}}

25 = \frac{400}{\sqrt{n}}

25\sqrt{n} = 400

\sqrt{n} = \frac{400}{25}

\sqrt{n} = 16

(\sqrt{n})^2 = 16^2[tex][tex]n = 256

A sample of 256 was used in this survey.

b. What is the probability that the point estimate was within ±15 of the population mean?

15 is the bounds with want, 25 is the standard error. So

Z = 15/25 = 0.6 has a pvalue of 0.7257

Z = -15/25 = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

45.14% probability that the point estimate was within ±15 of the population mean

3 0
3 years ago
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