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kirill115 [55]
2 years ago
6

The graph of a proportional relationship passes through (12, 16) and (1, y) . Find y

Mathematics
2 answers:
k0ka [10]2 years ago
8 0

Answer: The value of y is \frac{4}{3}.

Explanation:

It is given that the graph of a proportional relationship passes through (12, 16)

and (1, y).

The graph of a proportional relationship means the x and y coordinates are in a proportion k. The equation of the graph is in the form of y=kx. Where k is the proportion factor.

It is given that the graph passing through (12,16).

y=kx

16=k(12)

k=\frac{16}{12}

k =\frac{4}{3}

So the equation of the line is,

y=\frac{4}{3} x

put x=1.

y=\frac{4}{3} (1)

y=\frac{4}{3}

Therefore, the value of y is \frac{4}{3}.

Sergio [31]2 years ago
6 0
Since X=12/12=1

Y must be divided by same number, 12, thus
y=16/12=1 1/3 or 1.33
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Answer:

a) 2.84% probability that he is late for his first lecture.

b) 5.112 days

Step-by-step explanation:

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:

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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, \sigma = 2.1

a. Find the probability that he is late for his first lecture.

This is the probability that he takes more than 20 minutes to walk, which is 1 subtracted by the pvalue of Z when X = 20. So

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

Z = \frac{20 - 16}{2.1}

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Z = 1.905 has a pvalue of 0.9716

1 - 0.9716 = 0.0284

2.84% probability that he is late for his first lecture.

b. Find the number of days per year he is likely to be late for his first lecture.

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Answer:

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Step-by-step explanation:

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where, x is the driver's age (in years), A(x) is driver’s reaction time to audio stimuli and V(x) is his or her reaction time to visual stimuli, 16 ≤ x ≤ 70.

We need to find an inequality that can be use to find the x-values for which A(x) is less than V(x).

A(x)

0.0051x^2 - 0.319x + 15< 0.005x^2 - 0.23x + 22

0.0051x^2 - 0.319x + 15- 0.005x^2 + 0.23x- 22

Combine like terms.

0.0001 x^2 - 0.089 x - 7

where, 16 ≤ x ≤ 70.

Therefore, the required inequality is 0.0001 x^2 - 0.089 x - 7.

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Step-by-step explanation:

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In this case, you can observe in the picture provided in the exercise that the line TI and the line WN intersect each other at the point S.

You can identify that the pair of angles that are opposite to each other and share the same vertex are the shown below:

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