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Liula [17]
2 years ago
13

Write an equation for the line in point-slope and slope-intercept forms.

Mathematics
2 answers:
andrew-mc [135]2 years ago
7 0

point-slope form: y-y₁=m(x-x₁)

==========

  • y - 2 = 7(x-1)

slope-intercept form: y = mx + b

==========

  • y - 2 = 7(x-1)
  • y - 2 = 7x-7
  • y = 7x - 7 + 2
  • y = 7x -5
kati45 [8]2 years ago
3 0

Point slope is written as y - y1 = m(x -x1)

Where x1 and y1 are the given point and m is the slope:


point slope :

Y-2 = 7(x-1)


slope intercept is written as y = Mx + b where m is the slope and b is the y intercept:


musing the slope you have y = 7x + b

Now replace y and x with the given point to solve for b:

2 = 7(1) = b

2 = 7 + b

Subtract 7 from both sides to get b = -5


now replace b in the equation to get:

Y = 7x-5

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Types of bonds are divided into three categories: good risk, medium risk, and poor risk. Assume that of a total of 11, 332 bonds
Alekssandra [29.7K]

Answer:

Probabilty of not poor= 0.75

Step-by-step explanation:

total of 11332 bonds.

7311 are good risk.

1182 are medium risk.

Poor risk

= total risk-(good risk+ medium risk)

= 11332-(7311+1182)

= 11332-8493

= 2839.

Poor risk = 2839

Probabilty that the ball choosen at random is not poor= 1 - probability that the ball is poor

Probability of poor = 2839/11332

Probabilty of poor= 0.2505

Probabilty that the ball choosen at random is not poor= 1- 0.2505

= 0.7495

To two decimal place= 0.75

3 0
3 years ago
What is the equation of the line?
BartSMP [9]
B. it’s the change in y over the change in x
7 0
2 years ago
In parallelogram WXYZ, what is CY?<br> CY=___ ft
dangina [55]
<span>The correct answer is 11 ft.

Explanation:
The diagonals of a parallelogram bisect each other. This means that the portion marked x+4 is the same length as the portion marked 2x-7; this gives us the equation x+4=2x-7.

Subtract x from each side:
x+4-x=2x-7-x
4=x-7.

Add 7 to both sides:
4+7=x-7+7
11=x</span>
6 0
3 years ago
Read 2 more answers
How do you graph y= -3x + 5
ZanzabumX [31]
You first find its intercepts: the x intercept is (5/3,0) and the y intercept is (0,5) (just plot those points). Then make the line connecting those 2 points!
4 0
3 years ago
A family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is tak
Dafna1 [17]

Answer:

a. Assume that the population has a normal distribution.

b. The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.

Step-by-step explanation:

Question a:

We have to assume normality.

Question b:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645\frac{35}{\sqrt{29}} = 10.69

The lower end of the interval is the sample mean subtracted by M. So it is 230 - 10.69 = 219.31 days.

The upper end of the interval is the sample mean added to M. So it is 230 + 10.69 = 240.69 days.

The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.

7 0
3 years ago
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