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Nady [450]
2 years ago
11

What is the equation of the linear function in standard form that has a slope of -4 and a y-intercept of -5?

Mathematics
1 answer:
Anastaziya [24]2 years ago
6 0

Step-by-step explanation:

y-Intercept = (0 , -5)

Slope / m = -4

y - y1 = m(x - x1)

y + 5 = -4(x - 0)

y = -4x - 5 → Equation

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HELP PLEASE! What’s the domain and range?
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Answer:

Domain → (-∞, -1)∪(-1, ∞)

Range → (-∞, ∞)

Step-by-step explanation:

Given function is,

\frac{f(x)}{g(x)}=\frac{x^2+2x-5}{2x+2}

This function is not defined when the denominator is zero.

2x + 2 = 0

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x = -1

Therefore, x = -1 is not in the domain of this function.

And the domain will be,

(-∞, -1)∪(-1, ∞)

For all values of x (except x = -1) we get some output values (value of \frac{f(x)}{g(x)}).

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Step-by-step explanation:

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3 years ago
The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 mil
devlian [24]

Answer:

69.14% probability that the diameter of a selected bearing is greater than 84 millimeters

Step-by-step explanation:

According to the Question,

Given That, The diameters of ball bearings are distributed normally. The mean diameter is 87 millimeters and the standard deviation is 6 millimeters. Find the probability that the diameter of a selected bearing is greater than 84 millimeters.

  • In a set with mean and standard deviation, the Z score of a measure X is given by Z = (X-μ)/σ

we have μ=87 , σ=6 & X=84

  • Find the probability that the diameter of a selected bearing is greater than 84 millimeters

This is 1 subtracted by the p-value of Z when X = 84.

So, Z = (84-87)/6

Z = -3/6

Z = -0.5 has a p-value of 0.30854.

⇒1 - 0.30854 = 0.69146

  • 0.69146 = 69.14% probability that the diameter of a selected bearing is greater than 84 millimeters.

Note- (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 p-value, we get the probability that the value of the measure is greater than X)

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The shortest side of a right triangle measures 13 m. the lengths of the other two sides are consecutive integers. Find the lengt
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check the picture below

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