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4 years ago

Which equation could represent the relationship shown in the scatter plot?

Mathematics

2 answers:

r-ruslan [8.4K]4 years ago

5 0

Base from the choices the most sensible that will represent the scatter plot isy = -3/4 x + 10 because if you will extrapolate the scatter plot to the y axis it will hit the y axis at y = 10, so y intercept is 10 and the equation y = -3/4 x + 10 is correct. the nearest to slope of the scatter plot is -3/4

valkas [14]4 years ago

3 0

Answer:

The answer is A y=-3/4x+10

Step-by-step explanation:

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Which of these equivalent

denpristay [2]

Answer:

30 miles/1 hour is the unit rate.

Step-by-step explanation:

This is the unit rate because unit rates are a number over 1 unit. 30 miles/1 hour fulfills that, and the others are 2 and 3 hours.

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3 years ago

If y varies inversely as x, and y = 10 when x = 20,<br> find x when y = 16.

Ipatiy [6.2K]

Answer:

12.5

Step-by-step explanation:

y varies inversely as x.

y = k/x

10 = k/20

200 = k

The constant proportion k is 200.

16 = 200/x

Cross multiply.

200 = 16x

200/16 = x

x = 12.5

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3 years ago

A cereal box says that now it contains 20% more. Originally, it came with 20 ounces of cereal. How much cereal does the box come

Novosadov [1.4K]

Answer:24ounces

Step-by-step explanation:

Multiply 20 ounces by .20 (The percent) then add your answer to the 20 ounces.

6 0

3 years ago

Suppose that administrators at a large urban high school want to gain a better understanding of the prevalence of bullying withi

boyakko [2]

Answer:

lower limit =0.261

upper limit =0.369

Step-by-step explanation:

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".

Description in words of the parameter p

$p$ represent the real population proportion of people that have experienced bullying

X= 63 people in the random sample that have experienced bullying

n=200 is the sample size required

$\hat p=\frac{63}{200}=0.315$ represent the estimated proportion of people that have experienced bullying

$z_{\alpha/2}$ represent the critical value for the margin of error

The population proportion have the following distribution

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

Numerical estimate for p

In order to estimate a proportion we use this formula:

$\hat p =\frac{X}{n}$ where X represent the number of people with a characteristic and n the total sample size selected.

$\hat p=\frac{63}{200}=0.315$ represent the estimated proportion of people that they were planning to pursue a graduate degree

Confidence interval

The confidence interval for a proportion is given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 90% confidence interval the value of $\alpha=1-0.90=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution.