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tatuchka [14]
2 years ago
6

Given that

Mathematics
2 answers:
nadya68 [22]2 years ago
8 0

Answer:

25/3

Step-by-step explanation:

3x:10=5:2

proportions are basically ratios, and ratios are basically fractions, so we can cross multiply

3x*2=10*5

6x=50

x=50/6

x=25/3

Luba_88 [7]2 years ago
5 0

Step-by-step explanation:

please mark me as brainlest

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Rufina [12.5K]

Answer:

The 4th one.  

Step-by-step explanation:

On all the tables x and y are always increasing, except for the 4th one where the y is decreasing.  

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3 years ago
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In a recent year, the ACT scores for the math portion of the test were normally distributed, with a mean of 21.1 and a standard
Natali5045456 [20]

Answer:

a) P(X

And we can find this probability using the normal standard table or excel:

P(z

b) P(19

And we can find this probability with this difference:

P(-0.396

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-0.396

c) P(X>26)=P(\frac{X-\mu}{\sigma}>\frac{26-\mu}{\sigma})=P(Z>\frac{26-21.1}{5.3})=P(z>0.925)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.925)=1- P(Z

d) We can consider unusual events values above or below 2 deviations from the mean

Lower = \mu -2*\sigma = 21.1 -2*5.3 =10.5

A value below 10.5 can be consider as unusual

Upper = \mu +2*\sigma = 21.1 +2*5.3 =31.7

A value abovr 31.7 can be consider as unusual

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(21.1,5.3)  

Where \mu=21.1 and \sigma=5.3

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel:

P(z

Part b

P(19

And we can find this probability with this difference:

P(-0.396

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-0.396

Part c

P(X>26)=P(\frac{X-\mu}{\sigma}>\frac{26-\mu}{\sigma})=P(Z>\frac{26-21.1}{5.3})=P(z>0.925)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.925)=1- P(Z

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We can consider unusual events values above or below 2 deviations from the mean

Lower = \mu -2*\sigma = 21.1 -2*5.3 =10.5

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3 years ago
Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.
artcher [175]

Question is Incomplete;Complete question is given below;

Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.

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Enter the answer to the nearest hundredth, such as $1234.56.

Answer:

Brian's Net pay is $945.08.

Step-by-step explanation:

Given:

Gross earnings for the week = $1227.38

Deductions = 23%

We need to find the net pay.

Solution:

First we will find the amount deducted.

amount deducted is equal to Deductions on Gross pay.

framing in equation form we get;

amount deducted = \frac{23}{100}\times 1227.38 = \$282.2974

Now we can say that;

Net pay is equal to Gross earnings minus amount deducted in tax.

framing in equation form we get;

Net pay = 1227.38-282.2974 = \$945.0826

Rounding to nearest hundred  we get;

Net pay = $945.08

Hence Brian's Net pay is $945.08.

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