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Naddika [18.5K]
3 years ago
10

A line passes through the points (1, 8) and (0, 3). What is its equation in slope-intercept form?

Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0

Answer:

Step-by-step explanation:

The equation is y=mx+b.

In this case, you plug in 3 for b, because b represents the y-intercept and the y-intercept is (0,3).

To figure out the slope, the equation is y-y/x-x, so it would be 8-3/1-0, which leves us with 5.

M represents the slope so your answer is:

Y=5x+3

Hope this helps!

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Jacob received a new salary of 45900 this is 8% more of his former salary what is his former salary
Brrunno [24]
$42,500 because 45900 dividede by 1.08 is 42500

4 0
3 years ago
How to solve for equation:<br> y = x squared - 15x + 14
vichka [17]

Answer:

x=14, x=1

Step-by-step explanation:

View Image.

First factor the equation. Which numbers multiplies to 14 and adds up to -15? It's -14 and -1 so the equation is factored to (x-14)(x-1). I assume that you know how to do this.

Then set the values inside the parentheses equal to 0 and solve for x.

5 0
3 years ago
Which of the following has two congruent parallel discs for bases? A.Cylinder B.Cone C.Prism D.Pyramid
tresset_1 [31]
A cone and a pyramid don't have parallel base, they have a base with a vertice.
A prism and a cylinder have parallel bases. But the bases of a prism are not disc-shape. The bases of  a cylinder are.

The answer is a. cylinder
3 0
3 years ago
Read 2 more answers
Kate runs 2/3 of a mile on Mondays, Wednesday's and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. How many miles doe
padilas [110]

Answer:

Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.

Step-by-step explanation:

We know that Kate runs 2/3 of a mile on Mondays, Wednesdays and Thursdays. She runs 4/5 of a mile on Tuesday and Fridays. We calculate how many miles does Kate run during the week.  

Therefore, we get

\frac{2}{3}+\frac{4}{5}=\frac{10+12}{15}=\frac{22}{15}=1+\frac{7}{15}

Therefore, we conclute that Kate run 1 mile and 7/15 of a mile for the week.

8 0
2 years ago
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
motikmotik

Answer:

The 95% confidence interval for the population mean rating is (5.73, 6.95).

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{50}(6+4+6+. . .+6)\\\\\\M=\dfrac{317}{50}\\\\\\M=6.34\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{49}((6-6.34)^2+(4-6.34)^2+(6-6.34)^2+. . . +(6-6.34)^2)}\\\\\\s=\sqrt{\dfrac{229.22}{49}}\\\\\\s=\sqrt{4.68}=2.16\\\\\\

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=6.34.

The sample size is N=50.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2.16}{\sqrt{50}}=\dfrac{2.16}{7.071}=0.305

The degrees of freedom for this sample size are:

df=n-1=50-1=49

The t-value for a 95% confidence interval and 49 degrees of freedom is t=2.01.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=2.01 \cdot 0.305=0.61

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 6.34-0.61=5.73\\\\UL=M+t \cdot s_M = 6.34+0.61=6.95

The 95% confidence interval for the mean is (5.73, 6.95).

4 0
3 years ago
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