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Eduardwww [97]
2 years ago
9

!!!!!HELP ME PLZ!!!!!

Mathematics
1 answer:
Brilliant_brown [7]2 years ago
4 0

Answer:

y=-2

Step-by-step explanation:

in other words, the question is asking

"six time what plus four equals 12?"

we know that 6 ⋅ 2 = 12

therefore if we plug the -2 into the Y we get

6(-2+4)=12

6(2)=12 or 6⋅2=12

therefore the answer is y=-2

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Find the value of the linear correlation coefficient r. Round to 3 decimal places. (47, 8), (46, 10), (27, 10)
Mnenie [13.5K]

Answer:

- 0.5379

Step-by-step explanation:

Given the data below :

(47, 8), (46, 10), (27, 10)

X:

47

46

27

Y:

8

10

10

Using the functionality of the correl() function in excel, which takes in the x and y values of a data. The value of correlation Coefficient (r) obtained is - 0.5379 which indicates that a fairly strong negative correlation exists between the x and y variables. As the the strength of correlation depends on how close the Coefficient is to 1 (strong) or 0 ( weak). Negative value indicates that an increase in the value of one variable leads to a decrease on the value of the other.

6 0
2 years ago
A sample of size 45 will be drawn from a population with mean 53 and standard deviation 11. Use the TI-84 Plus calculator. (a) I
sukhopar [10]

Answer:

a) We have the standard deviation and the mean, so it is appropriate to use the normal distribution to find probabilities for x.

b) There is a 15.97% probability that x will be between 54 and 55.

c) The 47th percentile of x is X = 52.877.

Step-by-step explanation:

Problems of normally distributed samples can be solved using 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}

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

A sample of size 45 will be drawn from a population with mean 53 and standard deviation 11.

This means that \mu = 53.

We have to find the standard deviation of the sample, that is:

\sigma = \frac{11}{\sqrt{45}} = 1.64

(a) Is it appropriate to use the normal distribution to find probabilities for x?

We have the standard deviation and the mean, so it is appropriate to use the normal distribution to find probabilities for x.

(b) Find the probability that x will be between 54 and 55.

This is the pvalue of the Z score when X = 55 subtracted by the pvalue of the Z score when X = 54.

X = 55

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

Z = \frac{55 - 53}{1.64}

Z = 1.22

Z = 1.22 has a pvalue of 0.88877.

X = 54

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

Z = \frac{54 - 53}{1.64}

Z = 0.61

Z = 0.61 has a pvalue of 0.72907.

So, there is a 0.88877 - 0.72907 = 0.1597 = 15.97% probability that x will be between 54 and 55.

(c) Find the 47th percentile of x. Round the answer to at least two decimal places.

This is the value of X when Z has a pvalue of 0.47;

This is between Z = -0.07 and Z = -0.08. So we use Z = -0.075.

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

-0.075 = \frac{X - 53}{1.64}

X = 52.877

The 47th percentile of x is X = 52.877.

8 0
3 years ago
Alonzo, Enio, and George bought a watercolor paint box for $15.35 and 3 brushes for $2.25 each. They had a coupon for $2.00 off
Scilla [17]

Answer:C. [12.35+(2.25x3)-2]÷3

8 0
3 years ago
A 10-metre long pipe is cut into 2 pieces. One piece is 5 times the length of the other piece. Find the length of each piece, en
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9514 1404 393

Answer:

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Step-by-step explanation:

If the ratio of lengths is 1 : 5, then the ratio of the shortest length to the total is ...

  1 : (1+5) = 1 : 6

The shortest length is (10 m)×(1/6) = 1.67 m. The longer length is 10 -1.67 = 8.33 m.

The lengths of the pieces are 8.33 m and 1.67 m.

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Z score=(data value-mean)/standard deviation
z=(90-100)/15=-0.6666666667
6 0
3 years ago
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