What is the equation of the line that goes through (8,-2) and (0,14

Given vertices A(0,0), B(5,0),C(0,5), determine whether triangle ABC is a right triangle. a. yes c. insufficient information b.

yaroslaw [1]

Answer:

Yes, this triangle is a right triangle.

Step-by-step explanation:

Side AB lies on the x-axis and is thus horizontal. Side AC lies on the y-axis and is thus vertical. Sides AB and AC are therefore perpendicular to each other. This alone is enough info for us to conclude that this is a right triangle.

Side BC could be thought of as the hypotenuse.

7 0

3 years ago

A softball player has a batting average of exactly .300 and no more than 60 times at bat. Suppose this player gets 5 hits in her

timama [110]

Answer:

The highest possible average is 348

Step-by-step explanation:

we know that

No more than 60 means -----> maximum 60 ( less than or equal to 60)

To find the possible average using proportion

Remember that the average is the number of hits in 1,000 times at bat

If the average is 300 with maximum 60 times at bat

then

The number of hits is 60*300/1,000=18 hits

If the player gets 5 hits in her next 6 times at bat

then

In 66 times at bat the number of hits is 18+5=23 hits

Find out the average

Let

x ----> the average

$\frac{66}{23}=\frac{1,000}{x}\\\\x=23*1,000/66\\\\x=348$

6 0

3 years ago

At a local dealership 30% of cars are SUVs, 50% of the cars are painted white, and 15% are white and an SUV. If we randomly sele

alex41 [277]

Answer:

1/8, 0.0625 , or 6.25%

Step-by-step explanation:

50% of the cars are painted white.

1/2 * 1/2 = 1/4 * 1/4 = 1/8

Probability of A occuring 4 time(s) = 0.54 = 0.0625

Probability of A NOT occuring = (1 - 0.5)4 = 0.0625

Probability of A occuring = 1 - (1 - 0.5)4 = 0.9375

6 0

3 years ago

A sports news station wanted to know whether people who live in the North or the South are bigger sports fans. For its study, 17

Free_Kalibri [48]

Using the z-distribution, it is found that the 95% confidence interval for the difference is (-1.3, -0.7).

<h3>What are the mean and the standard error for each sample?</h3>

Considering the data given:

$\mu_S = 3.8, n = 175, s_S = \frac{1.7}{\sqrt{175}} = 0.1285$

$\mu_N = 4.8, n = 152, s_N = \frac{1.2}{\sqrt{152}} = 0.0973$

<h3>What is the mean and the standard error for the distribution of differences?</h3>

The mean is the subtraction of the means, hence:

$\overline{x} = \mu_S - \mu_N = 3.8 - 4.8 = -1$

The standard error is the square root of the sum of the variances of each sample, hence:

$s = \sqrt{s_S^2 + s_N^2} = \sqrt{0.1285^2 + 0.0973^2} = 0.1612$

<h3>What is the confidence interval?</h3>

It is given by:

$\overline{x} \pm zs$

We have a 95% confidence interval, hence the critical value is of z = 1.96.

Then, the bounds of the interval are given as follows:

$\overline{x} - zs = -1 - 1.96(0.1612) = -1.3$

$\overline{x} + zs = -1 + 1.96(0.1612) = -0.7$

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0

2 years ago

Round the following number to four significant figures: 3.682417 *

Dovator [93]

Answer:

3.682

Step-by-step explanation:

We don't consider the decimal place or I should say comma so then we read from the first digit as long as it's not zero then until the fourth digit we look at the next digit if it's 5 or greater then we add 1 to the previous digit. And if the next digit is less than 5 then the digit won't change

7 0

2 years ago

What is the equation of the line that goes through (8,-2) and (0,14​

What is the equation of the line that goes through (8,-2) and (0,14