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2 years ago

How do i find the proportionality of r

Mathematics

1 answer:

Paha777 [63]2 years ago

3 0

Since the graph is a linear function, we're going to use the slope formula solve this:

Note I am replacing m with k
$k= \frac{ y_{2}- y_{1} }{ x_{2}- x_{1} }$

Inserting 2 points from the graph, let's use (1,8) and (2,16).

$\frac{16-8}{2-1}

$

k=8

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A box contains 4 red cubes, 3 blue cubes, 2 green cubes, and 1 yellow cube. You pick two cubes at random, replacing each after y

Lynna [10]

Answer:

Step-by-step explanation:

There are 10 cubes all together.

You want blue and then red with replacement.

Blue

P(B then red) = 3/10 * 4/10 = 12 / 100

12/100 reduces to 3/25

The answer is A

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2 years ago

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Systolic Blood Pressure Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury and the stan

liq [111]

Answer:

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

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:

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

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:

$\mu = 120, \sigma = 5.6$

Find the probability that the individual's pressure will be between 119.4 and 121.4mmHg

This is the pvalue of Z when X = 121.4 subtracted by the pvalue of Z when X = 119.4. So

X = 121.4

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

$Z = \frac{121.4 - 120}{5.6}$

$Z = 0.25$

$Z = 0.25$ has a pvalue of 0.5987

X = 119.4

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

$Z = \frac{119.4 - 120}{5.6}$

$Z = -0.11$

$Z = -0.11$ has a pvalue of 0.4562

0.5987 - 0.4562 = 0.1425

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

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2 years ago

Using the diagram below, identify the relationship of the pair of angles and find the value of x.

ziro4ka [17]

Answer:

The angles are supplementary to each other (their sum is 180 degrees)

x = 62°

Step-by-step explanation:

(2x+10) + 46 = 180

subtract 56 from each side

2x = 124

divide both sides by 2

x = 62°

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3 years ago

according to the law of conservation of energy, when a car uses 10,000J chemical energy from gasoline, how much energy will be t

Bogdan [553]

According to the Law of Conservation, 10,000 J of energy will be released and transformed into sound, heat, and mechanical energy. This is true because energy cannot be destroyed or created; it just transforms into some other type of energy.

Hope this helps!

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3 years ago

I need an equation for: what number is 70% of 120

kifflom [539]

You'll have to multiply 0.7 by 120.

120*0.7 = n

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Hope this helps :)

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3 years ago

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