Complete the equation of the line through (6,-6 and (8,8)

kodGreya [7K]

18-3=15
Originally pay 25 = 75
450-75=375
375 + 75 = 450

C) 18 people were originally going on the trip and 15 are going now.

Idk about D

3 0

3 years ago

Need help! Find the interval estimates for those that want to get out earlier and those that want to get out later. Explain how

ivolga24 [154]

Answer:

a) The interval is for those that want to get out earlier is 43 < n < 47 students

b) The interval is for those that want to get out later is 48 < n < 50 students

c) The group that wants to get out of school earlier could win if those who have no opinion vote with them

Step-by-step explanation:

Given that:

sample size (n) =128

mean = np where p is the probability

a) Probability of those that want to get out earlier = 0.35.

The mean of those that want to get out earlier = n × probability = 0.35 × 128 = 45

Margin of error = 4% = 0.04 × 45 = 1.8 ≈ 2

Therefore the interval = mean ± Margin of error = 45 ± 2 = (43, 47)

The interval is for those that want to get out earlier is 43 < n < 47 students

b) Probability of those that want to get out later = 0.39.

The mean = n × probability = 0.39 × 128 = 50

Margin of error = 4% = 0.04 × 50 = 2

Therefore the interval = mean ± Margin of error = 50 ± 2 = (48, 52)

The interval is for those that want to get out later is 48 < n < 50 students

c) The group that wants to get out of school earlier could win if those who have no opinion vote with them

4 0

3 years ago

If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the ar

Shkiper50 [21]

Answer:

The area increase by 225%

Step-by-step explanation:

attachment of a triangle

The area of a triangle equilateral is calculated with the next formula:

A= $\frac{a*h}{2}$

$h^{2} +(\frac{a}{2})^{2}$ = $a^{2}$

$h^{2} = a^{2} - \frac{a^{2} }{4}$ = $\frac{a^{2} }{4}$ *3

h= $\sqrt{\frac{a^{2}*3 }{4} }$

h= $\frac{\sqrt{3}*a }{2}$

replacing in the A equation:

A= $\frac{a*\sqrt{3}*a }{2*2}$ 

A= $\frac{\sqrt{3}*a^{2} }{4}$ 

Now each side increse by 50% ⇒ a=1.5a

A= $\frac{\sqrt{3}*(1.5a)^{2} }{4}$ 

A= $\frac{\sqrt{3}*a^{2}* 2.25 }{4}$ 

A=2.25 * $\frac{\sqrt{3}*a^{2} }{4}$ 

It means that the area incrase by 225%

6 0

3 years ago

What does this math problem mean |3x|=9

Vladimir79 [104]

Answer:

idkkkk lol

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Consider the quadratic function f(x)=x²-5x+12. Which statements are true about the function and its

finlep [7]

There is only one statement that is true: B. The graph of the function is a parabola.

<h3>How to study and interpret the characteristics of quadratic equations</h3>

In this question we have a quadratic equation, whose characteristics have to be inferred and analyzed. We need to prove each of the five choices presented in the statement:

Choice A:

If we know that x = - 10, then we evaluated it at the function:

f(- 10) = (- 10)² - 5 · (- 10) + 12

f(- 10) = 162

False

Choice B:

By analytical geometry we know that all functions of the form y = a · x² + b · x + c always represent parabolae.

True

Choice C:

The quadratic function opens up as its leading coefficient is greater that 0.

False

Choice D:

If we know that x = 20, then we evaluate it at the function:

f(20) = 20² - 5 · (20) + 12

f(20) = 312

False

Choice E:

If we know that x = 0, then we evaluate it at the function:

f(0) = 0² - 5 · (0) + 12

f(0) = 12

There is only one statement that is true: B. The graph of the function is a parabola.

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

7 0

1 year ago