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3 years ago

(3,-2) (4,5) m = [?]

Mathematics

2 answers:

Elan Coil [88]3 years ago

8 0

Answer:

m = 7

Step-by-step explanation:

Use the slope formula.

$m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{5+2}{4-3}=\frac{7}{1}=\boxed{7}$

The slope is 7.

Hope this helps.

timofeeve [1]3 years ago

8 0

Answer:

m=7

Step-by-step explanation:

Slope is the change in Y over the change in X

The change in Y is 7

The change in X is 1

7/1 = 7

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The quality control department at Alexander Fasteners measured the length of 100 bolts randomly selected from a specified order.

erma4kov [3.2K]

Answer:

a) P [Z < 5.79] = 7.49 %

b) P [ Z > 7.46 ] = 82.38 %

c) P [ Z > 6.65 ] = 91.68 %

Step-by-step explanation:

Normal Distribution

Population Mean μ₀ = 6.8 cm

Standard Deviation of population σ = 0,7 cm

a) P [ Z < 5.79 ] = ??

z value ?

z = ( 5,79 - 6,8 ) / 0,7 ⇒ z = - 1.01 / 0,7 ⇒ z = - 1.442

From z table we get:

z = - 1.442 ⇒ P [Z < 5.79] = 0.0749 or

P [Z < 5.79] = 7.49 %

b) P [ Z > 7.46 ]

z = ( 7.46 - 6,8 ) / 0,7 ⇒ z = 0.66 / 0.7 ⇒ z = 0.942

From z table

P [ Z > 7.46 ] = 0.8238 or P [ Z > 7.46 ] = 82.38 %

c) P [ Z > 6.65]

z = ( 6.65 - 6.8 ) / 0.7 ⇒ z = - 0,15 / 0.7 ⇒ z = - 0.214

From table we get area between 6.65 and the mean, therefore we have to add ( 0.5 ) half of total area

Then from z table

z = - 0,214 ⇒ 0,4168

Then P [ Z > 6.65 ] = 0,4168 + 0.5

P [ Z > 6.65 ] = 0.9168 or

P [ Z > 6.65 ] = 91.68 %

P [ Z > 6,65 ] = 0,5 +

5 0

4 years ago

30 POINTS// URGENT

Artyom0805 [142]

Answer:

the commision of the 3 percent is 6,600.00 i dont fully understand the question if 60 percent is taken from the 3 percent or the 60 is taken from the original.

Step-by-step explanation:

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3 years ago

What is the y-intercept of the line perpendicular to the line y = four thirdsx + 1 that includes the point (4, 1)?

s2008m [1.1K]

Answer:

Step-by-step explanation:

Given the line: $y=\dfrac43 x+1$

The gradient of the line, $m=\dfrac43$

A line perpendicular to the given line will have a gradient, $m=-\dfrac34$ (by definition of perpendicularity).

Therefore, a perpendicular line that passes through the point (4,1) is:

$y-y_1=m(x-x_1)\\y-1=-\dfrac34(x-4)\\y-1=-\dfrac34x+3\\y=-\dfrac34x+3+1\\y=-\dfrac34x+4$

Comparing with the slope-intercept form y=mx+x, the slope of the perpendicular line, b=4.

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3 years ago

Describe the graph y=|x-2|+4

ICE Princess25 [194]

Answer: D) a V shaped graph with vertex at(2,4) which opens up

Step-by-step explanation:

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3 years ago

Read 2 more answers

If a variable has a distribution that is bell-shaped with mean 28 and standard deviation 5, then according to the Empirical R

mars1129 [50]

Answer:

99.7% data lies between 13 to 43

Step-by-step explanation:

Mean: $\mu = 28$

Standard deviation : $\sigma = 5$

68% of data lies between $\mu - \sigma$ to $\mu +\sigma$

95% of the data lies between $\mu - 2\sigma$ to $\mu +2\sigma$

99.7% data lies between $\mu - 3\sigma$ to $\mu +3\sigma$

We are supposed to find 99.7 of the data will lie between which values

99.7% data lies between $28 - 3(5)$ to $28 +3(5)$

99.7% data lies between 13 to 43

Hence 99.7% data lies between 13 to 43

8 0

3 years ago