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3 years ago

what is the equation of a line that has a slope of -5 and passes through the point (0,2) a)y= -5x b)y= -5x + 2 c)y = 2x - 5

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

5 0

Answer:

y=-5x+2

Step-by-step explanation:

desmos

also -5= the slope and 2 was the y intercept aka B you had all Pieces

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A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean l

tankabanditka [31]

Answer:

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 95

Given that the standard deviation of the Population = 5

Let 'X' be the random variable in a normal distribution

Let X⁻ = 96.3

Given that the size 'n' = 84 monitors

Step(ii):-

The Empirical rule

$Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }$

Z = 2.383

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = P(Z≥2.383)

= 1- P( Z<2.383)

= 1-( 0.5 -+A(2.38))

= 0.5 - A(2.38)

= 0.5 -0.4913

= 0.0087

Final answer:-

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

3 0

3 years ago

Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

MAXImum [283]

General Idea:

When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)

Applying the concept:

In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)

We know $x = 6$ & $kx = 7.2$

Substituting 6 for x in the equation $kx = 7.2$ , we get $6k = 7.2$ .

Dividing 6 on both sides $\frac{6k}{6}=\frac{7.2}{6}$

Simplifying fractions on both sides $k=1.2$

Point A from the diagram is (-3, 3)

x-coordinate of A' = $kx=1.2 * -3 = -3.6$

y-coordinate of A' = $ky =1.2*3=3.6$

Point A' is given by (-3.6, 3.6)

Conclusion:

Scale factor of dilation is 1.2

The coordinates of point A' is (-3.6, 3.6)

6 0

3 years ago

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A CD usually sells for $14.00. If the CD is 20% off, and sales tax is 7%, what is the total price of the CD, including tax?

tankabanditka [31]

Answer:

the total price of the CD including tax is $11.984

Step-by-step explanation:

The computation of the total price of the CD including tax is shown below:

The Selling price of the CD is $14

CD is 20% off

And, the sales tax rate is 7%

So, the total price of the CD is

= ($14 - $14 × 20%) × (1.07)

= $11.2 × 1.07

= $11.984

Hence, the total price of the CD including tax is $11.984

8 0

2 years ago

What’s the answer ?

makvit [3.9K]

Answer:(D) is the answer

Step-by-step explanation:

for every cup grandma uses 3/4 of a cup of strawberry

6 0

2 years ago

Which city had the highest temperature?

Olegator [25]

1.Scottsdale
2.st Louis
3. Scottsdale
4. -41

6 0

2 years ago

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