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ArbitrLikvidat [17]

3 years ago

7

A scatterplot is used to display data where x is the amount of time, in minutes, one member can tolerate the heat in a sauna, an

d
y is the temperature, in degrees Fahrenheit, of the sauna.
Which interpretation describes a line of best fit of y = -1.5x + 173 for the data?

2 answers:

Rzqust [24]3 years ago

7 0

Answer:

Answer: A the member can tolerate a temp of 173 fahrenheit for 0 minutes

Step-by-step explanation:

Vilka [71]3 years ago

5 0

Answer: A the member can tolerate a temp of 173 fahrenheit for 0 minutes

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What is the slope of the line that passes through the points (6,0) and (21,-20)

Paha777 [63]

Answer:

$\Longrightarrow: \boxed{\sf{-\dfrac{4}{3} }}$

Step-by-step explanation:

<u>To find:</u>

The slope of the line that passes through the points.

<u>Note:</u>

Use the slope formula.

$\underline{\text{SLOPE FORMULA:}}$

$\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{RISE}{RUN} }$

y₂=(-20)
y₁=0
x₂=21
x₁=6

$\Longrightarrow: \sf{\dfrac{(-20)-0}{21-6}}$

<u>Solve.</u>

$\sf{\dfrac{-20-0}{21-6}=\dfrac{-20}{15}=\dfrac{-20\div5}{15\div5}=\dfrac{-4}{3}=\boxed{\sf{-\dfrac{4}{3}}}$

<u>Therefore, the slope is -4/3, which is our answer.</u>

I hope this helps. Let me know if you have any questions.

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Emily reads a 210 page book in 7 days.She read the same number of pages each day.Write the number sentence that shows how to fin

professor190 [17]

Answer:

Step-by-step explanation:

7x=210

x=210/7=30 pages per day

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HELP! WILL GIVE BRANLIEST!<br> (Question 12)

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Ima go with 100 mill

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A video game store allows customers to rent games for $5 each. Customers can also buy a membership for $50 annually, and video g

omeli [17]

Answer:

20 games

Step-by-step explanation:

Given

Customers:

$Rent = \$5$ per game

Members:

$Membership = \$50$

$Rent = \$2.50$ per game

Required

Determine number of games for both to be equal

Represent the number of games with g

For regular customers;

g games cost: $5 * g$

For Members

g games cost: $50 + 2.50 * g$

Equate both expressions:

$5 * g = 50 + 2.50 * g$

$5g = 50 + 2.5 g$

Collect like terms

$5g -2.5g= 50$

$2.5g= 50$

Solve for g

$g = 50/2.5$

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4 0

3 years ago

My brother wants to estimate the proportion of Canadians who own their house.What sample size should be obtained if he wants the

AVprozaik [17]

Answer:

a) $n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

b) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

Step-by-step explanation:

Previous concepts

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

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

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)

If solve n from equation (a) we got:

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

Part a

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 90% of confidence, our significance level would be given by $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.64$

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 $ME =\pm 0.02$ 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:

$n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

Part b

For this case since we don't have a prior estimate we can use $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

8 0

3 years ago