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swat32
3 years ago
9

Which of the following are point-slope equations of the line going through (-3, 4) and (2, 1)? Check all that apply. A. y-1 = g(

x-2) B. y-4 = (x+3) O C. y-4 = -(x+3) D. Y+ 2 = (x-1 E. Y+3 = (x-4) OF. y-1 = -(x-2)​
Mathematics
1 answer:
Artist 52 [7]3 years ago
5 0

The point slope equation of the line going through (-3,4) and (2,1) is

y - 1 =  - 3 \frac{(x - 2)}{5}

or,

y - 4 =  - 3 \frac{(x + 3)}{5}

Answered by GAUTHMATH

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What is the equation of the line that passes through the point (2,7) and has a slope of 6?
Mumz [18]

Answer:

y= 6x - 5

Step-by-step explanation:

3 0
3 years ago
A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with σ=0.0
oksian1 [2.3K]
<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

\overline{x}\pm z^* SE                   (1)

, where \overline{x} = sample mean

z* = critical value.

SE = standard error

and SE=\dfrac{\sigma}{\sqrt{n}} , \sigma = population standard deviation.

n= sample size.

As per given , we have

\overline{x}=74.021

\sigma=0.001

n= 15

It is known that ring diameter is normally distributed.

SE=\dfrac{0.001}{\sqrt{15}}=0.000258198889747\approx0.000258199

By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 99% two-sided confidence interval on the true mean piston diameter :

74.021\pm (2.576) (0.000258199)     (using (1))

74.021\pm 0.000665120624

74.021\pm 0.000665120624\\\\=(74.021- 0.000665120624,\ 74.021+ 0.000665120624)\\\\=(74.0203348794,\ 74.0216651206)\approx(74.020,\ 74.022)  [Rounded to three decimal places]

∴  A 99% two-sided confidence interval on the true mean piston diameter  = (74.020, 74.022)

By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 95% lower confidence bound on the true mean piston diameter:

74.021- (1.96) (0.000258199)    (using (1))

74.021- 0.00050607004=74.02049393\approx74.020 [Rounded to three decimal places]

∴  A 95% lower confidence bound on the true mean piston diameter= 74.020

7 0
3 years ago
1,000 darts were thrown at the rectangular board shown here. If 159 darts hit the circle, which of the following is most likely
Ludmilka [50]
The probability would be \frac{159}{1000},
Simplify and turn into ratio.
0.159 : 1.

I am unsure what the full question was though.

Hope this helps.

7 0
3 years ago
Maya has 760 carrots. 27% of them went rotten. What number of the carrots ARE'NT rotten?
Alja [10]

Answer:

About 554 carrots aren't rotten.

Step-by-step explanation:

100% - 27% = 73%

73% = 0.73

760 x 0.73 = 554.80

3 0
3 years ago
Read 2 more answers
(4, -6), (3, -8)<br> Find midpoint
Dennis_Churaev [7]
(7/2,-7) ther I hope it help
6 0
3 years ago
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