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Evgesh-ka [11]
3 years ago
10

I need help finding the equation of the line. Could someone please help me? Thanks.

Mathematics
1 answer:
anyanavicka [17]3 years ago
3 0

The slope is 2/3, and the y-intercept is 4. In slope intercept form, the equation is y=2/3x+4

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a set of average city temperatures in december are normally distributed with a mean of 16.3°C and a standard deviation of 2°C. w
koban [17]

Answer:

19.74% of temperatures are between 12.9°C and 14.9°C

Step-by-step explanation:

Problems of normally distributed samples are 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}

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.

In this question, we have that:

\mu = 16.3, \sigma = 2

What proportion of temperatures are between 12.9°C and 14.9°C?

This is the pvalue of Z when X = 14.9 subtracted by the pvalue of Z when X = 12.9.

X = 14.9

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

Z = \frac{14.9 - 16.3}{2}

Z = -0.7

Z = -0.7 has a pvalue of 0.2420

X = 12.9

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

Z = \frac{12.9 - 16.3}{2}

Z = -1.7

Z = -1.7 has a pvalue of 0.0446

0.2420 - 0.0446 = 0.1974

19.74% of temperatures are between 12.9°C and 14.9°C

3 0
2 years ago
Could Someone PLEASE help me with this it is stumping me.
Bess [88]

9514 1404 393

Answer:

  G  45

Step-by-step explanation:

If Z is the circumcenter, it is equidistant from the vertices T, U, V. That is, ΔZUV is an isosceles triangle and Y is the midpoint of UV.

If Y is the midpoint of UV, then UY = VY = 22.5, and UV = UY +VY = 45.

The length of UV is 45.

4 0
2 years ago
What is the slope of this graph? <br>A. -1/3<br>B. -3<br>C. 3<br>D. 1/3​
Paul [167]
The answer is -3!


Hope this helps
3 0
3 years ago
Read 2 more answers
Find the domain of the following relation. <br> R={(19,96),(20,101),(21,106),(22,111)}
mafiozo [28]
(x, y)

The domain are all the x-values, the range are all the y-values.

R={(19,96),(20,101),(21,106),(22,111)}

The domain is: 19, 20, 21, and 22
The range is: 96, 101, 106, and 111
7 0
2 years ago
Read 2 more answers
» A race car game takes 6 points from a player each
Elza [17]

Answer:

-60

It is -60 because if it takes away 6 points for each cone you hit and you hit 10, then it would be -60 times 10, which equals -60.

7 0
3 years ago
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