All categories

3 years ago

What is an equation of the line that passes through the points (2, -2) and (8,4)?

Mathematics

1 answer:

Flura [38]3 years ago

5 0

Answer:

y=x-4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)=(4-(-2))/(8-2)=(4+2)/6=6/6=1

slope is 1

y-y1=m(x-x1) where m=slope

y-(-2)=1(x-2)

y+2=x-2

y=x-2-2

y=x-4

You might be interested in

Find fractional notation 5.6%

Vesna [10]

$\begin{gathered} 5.6\text{\%=}\frac{5.6}{100} \\ \Rightarrow\frac{56}{10}\div100 \\ \Rightarrow\frac{56}{10}\times\frac{1}{100} \\ \Rightarrow\frac{56}{1000} \\ Divide\text{ both numerator and denominator by 8, we have:} \\ \frac{7}{125} \end{gathered}$

6 0

1 year ago

Suppose a sample of 100 families of four vacationing at Niagara Falls resulted in sample mean of $282.45 spent per day and a sam

Juli2301 [7.4K]

Given Information:

Mean = μ = $282.45

Standard deviation = σ = $64.50

Sample size = n = 100

Confidence level = 95%

Required Information:

95% Confidence interval = ?

Answer:

95% Confidence interval = ($269.81, $295.09)

Step-by-step explanation:

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.

The confidence interval is given by

$CI = \bar{x} \pm MoE\\$

Where $\bar{x}$ is the mean and MoE is the margin of error given by

$MoE = z_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\$

Where σ is the standard deviation, n is the sample size and $z_{\alpha/2}$ is the z-score corresponding to 95% confidence level.

$z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96$

$MoE = 1.96\cdot \frac{64.50}{\sqrt{100} } \\\\MoE = 1.96\cdot 6.45\\\\MoE = 12.64\\$

Finally, the confidence interval is

$CI = \bar{x} \pm MoE\\\\CI = 282.45 \pm 12.64\\\\CI = 282.45 - 12.64 \: and \: 282.45 + 12.64\\\\CI = \$269.81 \: and \:\:\$295.09\\$

Therefore, we are 95% sure that the true population mean amount spent per day by a family of four visiting Niagara Falls is within the interval of ($269.81, $295.09)

3 0

3 years ago

I can find the perimeter and area of the rectangle

Svetllana [295]

Answer:

A = 72, P = 38

Step-by-step explanation:

Area can be found by getting the area of the overall figure, and then subtracting the blank space in the corner

12 * 7 = 84

3 * 4 = 12(invisible rectangle in top right)

84 - 12 = 72

Perimeter can be found by adding all of the sides

12 + 7 + (12-4) + 3 + 4 + (7-4)

The numbers in brackets are the unlabeled sides on the top and left.

4 0

2 years ago

Read 2 more answers

Bill and Joe leave their house at the same time heading in opposite directions. If Bill is driving three times faster than Joe a

Arisa [49]

The problem statement gives you the relationship between their speeds, and it gives you information you can use to find their total speed. You solve this by finding the total speed, then the proportion of that belonging to Bill.

The total speed is (120 mi)/(3 h) = 40 mi/h.

The speed ratio is ...

... Bill : Joe = 3 : 1

so the speed ratio Bill : Total is ...

... 3 : (3+1) = 3:4.

Bill's speed is (3/4)×(40 mi/h) = 30 mi/h.

4 0

3 years ago

Which of the following inequalities is equivalent<br> to -31 + 12s <3s + 15 ?

Travka [436]

Answer:

-31+12s

Step-by-step explanation:

3 0

3 years ago