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Sonja [21]
3 years ago
8

Draw a picture to support your work and how many yards did the grasshopper travel after hopping twice

Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0
So the grasshopper traveled 2 yards in each jump
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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.

b)

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
(x+5)(x^2-2x+3) Plz solve this with steps.
vaieri [72.5K]

Answer:

x^3+3x^2-7x+15

Step-by-step explanation:

first you've got to distribute x through (x^2-2x+3)

x^3-2x^2+3x, then distribute the 5 through (x^2-2x+3)

5x^2-10x+15 now you add that to x^3-2x^2+3x

x^3+3x^2-7x+15

4 0
2 years ago
I dot know it please help
pickupchik [31]
Number 2 is B, you are welcome, brainliest please
7 0
3 years ago
Read 2 more answers
Explain how you know that each pair of triangles are similar.
xenn [34]

<em>If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.</em>

8 0
3 years ago
I need help ASAP!!!!!
Alla [95]

 If we know that two sets of corresponding angles and the corresponding included sides are congruent in two triangles, what can we say about the triangles?


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