If Charles rides 4 miles in 20 minutes on his bike, which ratio shows the number of miles per minute he can ride

Point m represents the opposite of negative 1/2 and point n represents the opposite of positive 5/2 which number line correctly

Ira Lisetskai [31]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

point m represents the opposite of negative 1/2

so

$m=+\frac{1}{2}=0.5$

point n represents the opposite of positive 5/2

so

$n=-\frac{5}{2}=-2.5$

using a graphing tool

see the attached figure

3 0

4 years ago

Find the equation of the line that is perpendicular to y=-2x+1 and contains the point (8, 2).

AleksAgata [21]

Answer:

y = 1/2x - 2

Step-by-step explanation:

In order for a line to be perpendicular to another, the lines must have opposite reciprocal slopes.

Example of an opposite reciprocal slope: -2 ⇒ 1/2

Insert the information into the point-slope formula:

$y-y_1=m(x-x_1)\\\\y-2=\frac{1}{2}(x-8)\\\\y-2=\frac{1}{2}x-4\\\\y=\frac{1}{2}x-2$

4 0

3 years ago

he American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 45 w

Sonja [21]

Answer:

The 85% confidence interval is (0.2187, 0.2613).

Step-by-step explanation:

We have a large sample of size n = 830 Americans over 45. We have observed that 631 people don't smoke. Let p be the population proportion of Americans over 45 who smoke. An point estimate of p is $\hat{p} = 199/830 = 0.24$ and an estimate of the standard deviation of $\hat{p}$ is $\sqrt{\hat{p}(1-\hat{p})/n} = \sqrt{(0.24)(0.76)/830}$ = 0.0148. Therefore, because we have a large sample, the 85% confidence interval for the population proportion is given by $\hat{p}\pm z_{\alpha/2}\sqrt{\hat{p}(1-\hat{p})/n} = 0.24\pm z_{0.15/2}0.0148 = 0.24\pm z_{0.075}0.0148$ where $z_{0.075}$ is the 7.5th quantile of the standard normal distribution, i.e., -1.4395. Therefore the 85% confidence interval is $0.24\pm (1.4395)(0.0148)$ or equivalently (0.2187, 0.2613).

7 0

3 years ago

Required

Ludmilka [50]

Step-by-step explanation:

option c is correct not enough of information

as to calculate what was his change we have to calculate the sum of cost of each material he bought, and cost of six pack of diet mountain dew are missing, therefore option c is correct.

hope this answer helps you dear....take care and may u have a great day ahead!

4 0

3 years ago

To make 16 hamburger patties that each weigh 1/3 pound, you need 16/3 pounds of beef. Write 16/3 as a mixed number.

Tanzania [10]

Answer:

5 1/3

Step-by-step explanation:

fraction=division

16÷3= 5 R1

5 r1= 5 1/3

I hope this helps you learn how to change improper fractions to mixed numbers!

3 0

4 years ago

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