What is an equation of the line that passes through the points (-3,1) and (-4,0)

Mathematics

2 answers:

kicyunya [14]1 year ago

5 0

Answer:

y = x + 4

Step-by-step explanation:

The slope = (1 - 0)/(-3-(-4)) =1
1 = -3 + x, x =4
So, y = x + 4

Neporo4naja [7]1 year ago

5 0

Answer:

Step-by-step explanation:

Since this is a straight line, we can take any two points and calculate the Rise/Run, or slope, of the line.

Rise = (0-1) = -1

Run = (-4 - (-3)) = -1

Slope = Rise/Run = -1/-1 = 1

The line has the form of y = 1x + b, where b is the y intercept (the value of y when x = 0).

We can find a value of b that will force the line through both points. Given the form y = 1x + b, enter either of the two pints into the equation and solve for b. I'll use (-3,1),

y = 1x + b1

1 = 1*(-3) + b

b = 4

The equation is y = 1x + 4

See attached image.

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2. P337. 23. A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and

Rashid [163]

Answer:

B is True

A, C. D are false

Step-by-step explanation:

Given :

Sample size, n = 120

Mean diameter, m = 10

Standard deviation, s = 0.24

Confidence level, Zcritical ; Z0.05/2 = Z0.025 = 1.96

The confidence interval represents how the true mean value compares to a set of values around the mean computed from a set of sample drawn from the population.

The population here is N = 10000

To obtain

Confidence interval (C. I) :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 1.96 * 0.24/sqrt(120)

Confidence interval for the 10,000 ball bearing :

10 ± 1.96 * (0.24) / sqrt(120)

Hence. The confidence interval defined as :

10 ± 1.96 * (0.24) / sqrt(120) is the 95% confidence interval for the mean diameter of the 10,000 bearings in the box.

4 0

2 years ago