Tell me which statements belong in "agree" and disagree".

Which information about the coordinates of G and H will prove that GH is a median of AABC?

Annette [7]

Answer:

G (3,-4) ; H (8,1)

Step-by-step explanation:

Midpoint formula:

(x₁ + x₂ / 2 , y₁ + y₂ / 2)

For G (Points B and A):

(3 + 3 / 2 , 1 + (-9) / 2)

(6/2 , -8 / 2)

(3,-4)

For H (Points B and C):

(3 + 13 / 2 , 1 + 1 / 2)

(16 / 2 , 2 / 2)

(8,1)

3 0

3 years ago

What is the equation of the line that passes through the point (-6, -6) and has a<br> slope of - 1/3

pickupchik [31]

Answer:

The equation of the line is $y = -\frac{1}{3}x - 8$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Slope of - 1/3

This means that $m = -\frac{1}{3}$

So

$y = -\frac{1}{3}x + b$

Through the point (-6, -6)

This means that when $x = -6, y = -6$ . So

$y = -\frac{1}{3}x + b$

$-6 = -\frac{1}{3}(-6) + b$

$b + 2 = -6$

$b = -8$

The equation of the line is $y = -\frac{1}{3}x - 8$

5 0

2 years ago

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : S

ziro4ka [17]

Answer:

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

Sample of 421 new car buyers, 75 preferred foreign cars. So $n = 421, \pi = \frac{75}{421} = 0.178$

85% confidence level

So $\alpha = 0.15$ , z is the value of Z that has a pvalue of $1 - \frac{0.15}{2} = 0.925$ , so $Z = 1.44$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.151$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.44\sqrt{\frac{0.178*0.822}{421}} = 0.205$

The 85% onfidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.151, 0.205).

8 0

2 years ago

If 141 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $2.5 and total receipts for the

Arturiano [62]

Answer: There are 69 adults and 72 children went to the concert.

Step-by-step explanation:

Let x be the number of adults, and y be the number of children.

x + y = 141

3.5x + 2.5y = 421.5

x + y =141

x = 141 - y

3.5(141 - y) + 2.5y = 421.5

493.5 - 3.5y + 2.5y = 421.5

493.5 - y = 421.5

-y = -72

y = 72

x + y = 141

x + 72 = 141

x = 69

6 0

3 years ago

Mrs. Larnell is making snacks for a class picnic. She puts 1/4 pounds of apples,1/8 pound of nut mix,and 1/16 pound of chocolate

Tasya [4]

$\frac{1}{4}:\frac{1}{8}:\frac{1}{16}\\\frac{1}{4}*24:\frac{1}{8}*24:\frac{1}{16}*24\\\frac{24}{4}:\frac{24}{8}:\frac{3}{2}\\6:3:1.5\\6+3+1.5=9.5$

9 pounds 8 ounces

6 0

2 years ago