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Katen [24]
3 years ago
6

Find the slope that is PARALLEL and PERPENDICULAR to the equation of the line y = -1/2x+6.

Mathematics
1 answer:
kifflom [539]3 years ago
3 0

Answer:

parallel: -1/2

perpendicular: 2

Step-by-step explanation:

lines that are parallel have the same slope because they never intersect

lines that perpendicular, have the opposite reciprocal slope.

y = mx + b

where m is the slope

y = -1/2x + 6

-1/2 is the slope.

the slope in the equation given: -1/2

the slope parallel to the line given : -1/2

the slope perpendicular : opposite reciprocal, so the opposite of -1/2 is 1/2 and the reciprocal of 1/2 is 2.

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Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the
Alborosie

Answer:

Step-by-step explanation:

Let the subscripts d and n represent day and night respectively

The null hypothesis is

H0 : μd ≥ μn

The alternative hypothesis is

H1 : μd < μn

it is a one-tailed and also a right left test because of the greater than symbol in the alternative hypothesis.

The decision rule is to reject H0: μd ≥ μn If 0.10 > p value

Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (xd - xn)/√σd²/nd + σn²/nn

Where

xd and xn represents sample means for day and night respectively.

σd and σn represents population standard deviations for day and night respectively.

nd and nn represents number of samples

From the information given,

xd = 334

xn = 341

σd = 23

σ2 = 28

nd = 60

nn = 68

z = (334 - 341)/√23²/60 + 28²/68

= - 7/√20.34607843138

z = - 1.55

From the normal distribution table, the probability value corresponding to the z score is 0.061

Since the level of significance, 0.1 > 0.061, we would reject H0

Therefore, there is enough evidence to conclude that there are more units produced on the night shift than on the day shift.

8 0
3 years ago
3. Use the diagram to answer the following questions.
Nuetrik [128]

Answer:

See explanation

Step-by-step explanation:

A. There are 8 points: A, B, C, D, E, F, G and H

B. There are 9 lines in the figure: AB, BC, AC, DE, DF, EF, BE, AD and CF

C. There are 5 planes in the figure: ABC, DEF, ABED, ACFD and BEFC

D. Three points are collinear if they lie on the same line. Collinear points are D,G and F or C,H and F

E. Coplanar points are those which lie in the same plane. Coplanar points are B, E, F and C or A, C, F and D or A, B, E and D or other combinations of four points lying in the same plane

I. Planes ABC and ABE intersect by a line AB

G. Planes BCH and DEF intersect by a line EF

H. Lines AD and DF intersect at a point D

4 0
3 years ago
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emmasim [6.3K]
16.76 rounds off to 17
After the dot if it’s 1-4 then they it would’ve been 15
5-9 is 17
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aleksley [76]

Answer:

y=1/2x-2

Step-by-step explanation:

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hi it me and I will be there

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