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zzz [600]
3 years ago
10

In order to be invited to tutoring or extension activities, a student's performance must be at least 20 points higher or lower t

han an average score. If the average score is 105, which inequality represents p, the scores for students who are eligible for tutoring or extension activities
Mathematics
2 answers:
RUDIKE [14]3 years ago
7 0

Answer:

D.  p ≤ 85 or p ≥ 125

You only have to meet 1 requirement, which A & B have 2.  

Due to the wording, at least 20 points, I would take that as meaning 105-20=85 is allowed or 105+20=125 is allowed.  

C, does not allow you to use 85,125.

marissa [1.9K]3 years ago
4 0

Answer:

The inequality that represents p are p \geq 125 or p \leq 85.

Step-by-step explanation:

We are given that in order to be invited to tutoring or extension activities, a student's performance must be at least 20 points higher or lower than an average score. The average score is 105.

Let p = the scores for students who are eligible for tutoring or extension activities.

<u>The first condition</u> states that a student's performance must be at least 20 points higher than an average score, that means;

p \geq (105 + 20)

p \geq 125

Similarly, <u>the second condition</u> states that a student's performance must be at least 20 points lower than an average score, that means;

p \leq (105 - 20)

p \leq 85

So, the inequality that represents p are p \geq 125 or p \leq 85.

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Answer:

3361 people should poll so it's inevitable that at least three people in the sample have identical demographic information.

Step-by-step explanation:

Consider the provided information.

There are 8 age and 7 income groups, 5 gender choices, and 6 choices for ethnicity.

For age we have 8 choices.

For Income groups we have 7 choices.

For gender groups we have 5 choices.

For ethnicity we have 5 choices.

Therefore, the total number of groups is: 8×7×5×6=1680

That means 1680 distinct group.

According to Pigeons holes principal: If m pigeons are in n holes and m > n, then at least 2 pigeons are in the  same hole.

So to select at least 2 people in the sample have identical demographic information 1681 people needs to poll.

In order to at least 3 people (2 × 1680+1) people should need to poll.

2 × 1680 + 1 = 3361

Hence, 3361 people should poll so it's inevitable that at least three people in the sample have identical demographic information.

6 0
3 years ago
The temperature outside dropped 13 degrees Fahrenheit in 7 hours. The final temperature was -2 degrees Fahrenheit. What was the
inysia [295]

Answer:

Step-by-step explanation:

11 degrees. 13 + -2 = 11. The starting temperature was 11 degrees farenheit

4 0
3 years ago
In one company, 20% of the workers in the technical department applied for vacation at the same time. If 12 workers applied for
FinnZ [79.3K]

Answer:

There are 60 tech workers altogether

Step-by-step explanation:

Let X be the total number of tech workers in the company

Out of X tech employees, 20 % applied for leaves

In totality, 12 tech employees are on leave

Thus,

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1. The formula for the volume of a cone is
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Answer:

r=\sqrt{\frac{3V}{\pi\ h}}

Step-by-step explanation:

The volume of cone is given by:

V=\frac{1}{3}\pi\ r^2\ h

where r is the radius of the base and h is the height of the cone.

We need to solve for r

we have V=\frac{1}{3}\ \pi\ r^2\ h

Multiplying both sides by 3 to remove \frac{1}{3}

⇒ 3\times V=3\times \frac{1}{3}\ \pi\ r^2\ h

⇒ 3V=\pi\ r^2\ h

dividing both sides by \pi\ h

⇒ \frac{3V}{\pi\ h}=\frac{\pi r^2 h}{\pi\ h}

⇒ \frac{3V}{\pi\ h}=r^2

Taking square root both sides:

⇒ \sqrt{\frac{3V}{\pi\ h}}=\sqrt{r^2}

⇒ \sqrt{\frac{3V}{\pi\ h}}=r

∴ r=\sqrt{\frac{3V}{\pi\ h}}

3 0
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Answer:

8, 13, 18

Step-by-step explanation:

If we want the mean to be 13, and there are 3 integers, that means the sum of all 3 integers must be 39. I started at 13 and counted 5 up and 5 down, which already makes sure of the range and the mean is 13 (since it's balanced with 13 being the middle), therefore, 13+5 is 18, 13-5=8.

6 0
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