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tamaranim1 [39]
3 years ago
11

This graph shows a proportional relationship. What is the constant of proportionality? Enter your answer as a ratio in simplifie

d form in the box. $$ A graph with a line running through coordinates left parenthesis 0 comma 0 right parenthesis and coordinates left parenthesis 2 over 3 end fraction comma 3 over 4 end fraction right parenthesis.
plezz help fro a mager test
Mathematics
2 answers:
VladimirAG [237]3 years ago
8 0

Answer:

\frac{9}{8}

Step-by-step explanation:

The constant of proportionality is the slope, k,  of the line in the formula:

y = kx

The constant of proportioanlity can be calculated using the formula for slope:

k=\frac{y_{1}-y_{2}}{x_{1}-x_{2}}\\\\k=\frac{\frac{3}{4}-0}{\frac{2}{3}-0}\\\\k=\frac{\frac{3}{4}}{\frac{2}{3}}\\\\k=\frac{3}{4} *\frac{3}{2} \\\\k=\frac{9}{8}

AnnyKZ [126]3 years ago
4 0

The answer is 5/4. I just took the test.

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What is the unit rate of $240 for 4 days
antiseptic1488 [7]

Answer:

$60 for 1 day

Step-by-step explanation:

60 (dollars) x 4 (days) = $240

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3 years ago
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In a survey, the planning value for the population proportion is . How large a sample should be taken to provide a confidence in
tatuchka [14]

Answer:

n=350

Step-by-step explanation:

Notation and definitions

n random sample taken  (variable of interest)

\hat p=0.35 estimated proportion  (value assumed)

p true population proportion

Confidence =0.95 or 95% (value assumed)

Me=0.05 (value assumed)

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

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 population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.586  

And rounded up we have that n=350

4 0
3 years ago
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Andrei [34K]

Answer:

f(5) = 17

Step-by-step explanation:

You just plug in 5 for x:

f(5) = 3(5) + 2

f(5) = 15 +2

f(5) = 17

Hope this helps!

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Answer:

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Step-by-step explanation:


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John throws a rock straight down with speed 12 m/s from the top of a tower. the rock hits the ground after 2.37 s. what is the h
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3 years ago
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