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Anvisha [2.4K]
3 years ago
12

The lines shown below are parallel. If the green line has a slope of 5, what is the slope of the red line?

Mathematics
2 answers:
Ratling [72]3 years ago
7 0
The slope of the red line would be 5 as well as long as the lines are parallel. If it were perpendicular, or made an x, then the slope would be (1/5)<span />
ratelena [41]3 years ago
3 0

Answer:

5

Step-by-step explanation:

If the lines described are parallel, this means that they will have the same slope. If the green line has a slope of 5, then the red one will also have a slope of 5. Parallel lines are those that do not meet. These lines do not touch or intersect at any point. Moreover, these lines are always the same distance apart (<em>equidistant</em>).

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14) A cookie recipe calls for 1 pound of butter. How many grams of butter would be needed for
aleksandr82 [10.1K]

Answer:

1360.8

Step-by-step explanation:

1 pound of butter, times three batches is 3 pounds of butter.

Since a pound is approximately 453.6 grams, 3x that would be

5 0
2 years ago
What is the solution to the above system of equations?
kow [346]

(x , y) = (7, - 1)

2x + 3y = 11 → (1)

3x + 3y = 18 → (2)

subtracting (1) from (2) term by term eliminates the y- term

(3x - 2x) + (3y - 3y) = (18 - 11)

x + 0 = 7 ⇒ x = 7

substitute x = 7 into either of the 2 equations and solve for y

(1) → (2 × 7) + 3y = 11

14 + 3y = 11

subtract 14 from both sides

3y = 11 - 14 = - 3

divide both sides by 3

\frac{- 3}{3} = - 1

solution is (7 , -1)


8 0
3 years ago
Read 2 more answers
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes
vesna_86 [32]

Answer:

A) P=2.28%

B) P=28.57%

C) I expect 10 students to be unable to complete the exam in the alloted time.

Step-by-step explanation:

In order to solve this problem, we will need to find the respective z-scores. The z-scores are found by using the following formula:

z=\frac{x-\mu}{sigma}

Where:

z= z-score

x= the value to normalize

\mu = mean

\sigma= standard deviation

The z-score will help us find the area below the normal distribution curve, so in order to solve this problem we need to shade the area we need to find. (See attached picture)

A) First, we find the z-score for 60 minutes, so we get:

z=\frac{60-80}{10}=-2

So now we look for the z-score on our normal distribution table. Be careful with the table you are using since some tables will find areas other than the area between the mean and the desired data. The table I used finds the area between the mean and the value to normalize.

so:

A=0.4772 for a z-score of -2

since we want to find the number of students that take less than 60 minutes, we subtract that decimal number from 0.5, so we get:

0.5-0.4772=0.0228

therefore the probability that a student finishes the exam in less than 60 minutes is:

P=2.28%

B) For this part of the problem, we find the z-score again, but this time for a time of 75 minutes:

z=\frac{75-80}{10}=-0.5

and again we look for this z-score on the table so we get:

A=0.1915 for a z-score of -0.5

Now that we got this area we subtract it from the area we found for the 60 minutes, so we get:

0.4772-0.1915=0.2857

so there is a probability of P=28.57% of chances that the students will finish the test between 60 and 75 minutes.

C) Finally we find the z-score for a time of 90 minutes, so we get:

z=\frac{90-80}{10}=1

We look for this z-score on our table and we get that:

A=0.3413

since we need to find how many students will take longer than 90 minutes to finish the test, we subtract that number we just got from 0.5 so we get:

0.5-0.3413=0.1586

this means there is a 15.86% of probabilities a student will take longer than 90 minutes. Now, since we need to find how many of the 60 students will take longer than the 90 available minutes, then we need to multiply the total amount of students by the percentage we previously found, so we get:

60*0.1586=9.516

so approximately 10 Students will be unavailable to complete the exam in the allotted time.

3 0
3 years ago
Read 2 more answers
HELP ASAP!!!
Archy [21]

Answer:

x° = 50°

Step-by-step explanation:

x° + 130° = 180° (adjacent angles add up to 180°)

x° = 180° - 130°

x° = 50°

4 0
2 years ago
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Sindrei [870]
Get off this website. You are way to old to be on here.
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