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3 years ago

Line t has slope 3/4 and passes through (0.0). Follow these steps: Step 1:

Mathematics

1 answer:

Jlenok [28]3 years ago

5 0

Answer:

Step-by-step explanation:

completing step 2 will land you at (8,0). you would just need to count up from there until you reach the line.

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There are 35 animals at the zoo, including lions, crocodiles, monkeys and elephants. There are 6 lions; there are 2 fewer crocod

Marat540 [252]

Answer:

5 elephants

Step-by-step explanation:

lions = 6

crocs = lions -2 = 6-2 =4

monkeys = 5*crocs = 5*4 = 20

the rest are elephants

35 - 20 -4-6 = 5

5 elephants

4 0

3 years ago

Read 2 more answers

In a class of 25 students, 24 of them took an exam in class and 1 student took a make-up exam the following day. The professor g

Vlad [161]

Answer:

If the teacher includes the score of the student who took the make-up test

a) The new student´s score decrease the average.

b) The new average is 75.6

c) The new student´s score increase the standard deviation.

Step-by-step explanation:

a) The concept of average implies the ratio between the sum of all scores (observations) and the number of scores (population, N).

At first we have an average of 76, if we add another score two things will happen: if the new score is greater than the average, the average will increase but, if the score is lower than the average, the average will decrease. In this case, as the new score 66<76, the average will decrease.

1) At first we have:

Average = (score 1 + score 2 +....+ score 24)/ 24 (N)

⇒ 76 = (score 1 + score 2 +....+ score 24)/24

⇒ 76 x 24 = (score 1 + score 2 +....+ score 24)

⇒ 1824 = (score 1 + score 2 +....+ score 24)

2) When the student´s score (66) is added we have tha N=25 and

(score 1 + score 2 +....+ score 25) = 1824 + 66

⇒ (score 1 + score 2 +....+ score 25) = 1890.

Now we can calculate the new average

Average = (score 1 + score 2 +....+ score n)/25

⇒ Average = 1890/25 ⇒ Average = 75.6.

The new average is 75.6

c) The concept of standar deviation give us an idea of the range of the scores and is represented as (mean ± standard deviation) = [mean - standard deviation ; mean + standard deviation]. In this case we have (76 ± 8.5) = [ 67.5 ; 84.5]. This implies that all scores are included in this range. So if we add a score that it is not included in the range the standard deviation will increase.

5 0

3 years ago

3y <= -2x+18

weeeeeb [17]

Answer:

A (-4, -3)
C (2, 4)
E (3, 2)

Step-by-step explanation:

It is convenient to use technology to plot the points and the functions to see what lies where. The first attachment shows such a plot.

_____

Of course, you can do the function evaluations. For example, testing answer B, we find ...

... 3·6 ≤ -2·1 +18 . . . . false for the first equation — not a solution

Checking all the points requires 10 function evaluations. When things get repetitive like that, I like to use a graphing calculator or spreadsheet.

_____

Using a calculator

The second attachment shows a calculator evaluating the viability of each point as a solution. The equations have been rearranged to ...

-2x -3y +18 ≥ 0
-x +4y +12 ≥ 0

This makes it easy to look at the evaluation results to see if the solution is viable or not.

The x-values of the points are entered into list L₁ and the y-values into L₂. The result of the first inequality above is in L₃ and the result for the second inequality is in L₄. Any negative value in L₃ or L₄ shows a point that is not part of the solution set. Points B and D fail to match problem requirements.

Points A, C, and E are in the solution set.