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yawa3891 [41]
2 years ago
8

line jk passes through points j(–4, –5) and k(–6, 3). if the equation of the line is written in slope-intercept form, y

Mathematics
1 answer:
likoan [24]2 years ago
4 0

The y - intercept of the line is -21 .

Slope - inercept form of equation of line :

y = m x + c

where m is the slope and c is the y - intercept of the line .

Writing equation in slope - intercept form :

( - 5 - 3 ) / ( - 4 + 6 ) = ( y - 3 ) /( x + 6 )

( -8 ) / ( 2 ) = ( y - 3 ) /( x + 6 )

- 4 ( x + 6 )  = y - 3

- 4 x - 24 = y - 3

y = - 4 x - 21

Hence , the y - intercept of the line is -21 .

To learn more on equation of line follow link :

brainly.com/question/19417700

#SPJ4

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A certain statistic bˆ is being used to estimate a population parameter B. The expected value of bˆ is equal to B. What property
insens350 [35]

Answer:

Unbiased

Step-by-step explanation:

If b^ is equal to B this means that it is an unbiased estimator. When there is an absence of bias, we have an unbiased estimator. As an unbiased estimator it gives accurate information most of the time. The result it gives is not over estimated and also it is not underestimated.

Expected value = true value

Parameter estimates are correct on average

Thank you

6 0
3 years ago
What are the zeros of f(x) = x2 + 2x - 80?
Lubov Fominskaja [6]

Answer:

The zeros are 8 and -10, all u have to do is substitute x for those values, factor it, or graph it.

8 0
3 years ago
The dimensions of a rectangle can be given by x+9 and x-2. If the area is 60ft^2, what is the value of X?
Veronika [31]

Answer:

6

Step-by-step explanation:

(x + 9) * (x - 2) = 60

x^2 - 2x + 9x - 18 = 60

x^2 + 7x - 18 = 60

x^2 + 7x = 78

FACTORING:

x(x + 7) = 78

x = 6

6 0
3 years ago
Factor-
Nastasia [14]

Hello from MrBillDoesMath!

Answer:

See Discussion section below

Discussion:

2x^2 + 5x + 3  = (2x+3)(x+1) which is Choice 3


3x^2+10x+4  =-1/3 (-3 x + sqrt(13) - 5) (3 x + sqrt(13) + 5)

I don't think any of the provided choices are right!


8x^2+10x-3 = (2x+3)(4x-1) which is Choice 2


6x^2-7x-4 = -1/24 (-12 x + sqrt(145) + 7) (12 x + sqrt(145) - 7)

I don't think any of the provided choices are right!


2x^2+x-28  =  (2x-7)(x+4) which is Choice 2


Thank you,

MrB

4 0
3 years ago
The diameters of ball bearings are distributed normally. The mean diameter is 83 millimeters and the standard deviation is 3 mil
Alenkinab [10]

Answer:

0.2514 = 25.14% probability that the diameter of a selected bearing is greater than 85 millimeters.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 83, \sigma = 3

Find the probability that the diameter of a selected bearing is greater than 85 millimeters.

This is 1 subtracted by the pvalue of Z when X = 85. Then

Z = \frac{X - \mu}{\sigma}

Z = \frac{85 - 83}{3}

Z = 0.67

Z = 0.67 has a pvalue of 0.7486.

1 - 0.7486 = 0.2514

0.2514 = 25.14% probability that the diameter of a selected bearing is greater than 85 millimeters.

7 0
3 years ago
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