Solve the compound inequality. y - 3 > 5 OR y + 3 < -2

Answers

Answer 1
Answer:

Answer: y < -5 or y > 8

Step-by-step explanation:

y-3>5\quad \text{or}\quad y+3<-2\n\underline{\ \ \ +3}\ \underline{\ +3}\qquad \underline{\quad \ \ -3}\ \underline{\ \ \ -3}\ny\quad \ \ >8\quad \text{or}\quad y\quad \ \ <-5

Graph:  ←---------o -1            8 o------------→

Interval Notation: (-∞, -5) ∪ (8, ∞)


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Consider that I have 4 sections of Stat 200. Section 001 has 40 students, section 002 has 40 students, section 003 has 30 students, and section 004 has 40, for a total of 150 students. I'd like to do a satisfaction survey with a sample size of 30, but I suspect that the section may change students' satisfaction with the course. a. Which sampling techniques could I use to ensure I get a representative sample from each section? (Check the two best answers!) A. Systematic Sampling B. Cluster Sampling C. Simple Random Sampling D. Stratified Sampling

Answers

Answer:

B. Cluster Sampling

D. Stratified Sampling

Step-by-step explanation:

B. Cluster Sampling: In cluster sampling, you divide your population (in this case, the students) into clusters (the sections) and randomly select some of those clusters for your sample. This method allows you to ensure representation from each section. You would randomly select a few sections (clusters) and survey all the students within those selected sections.

D. Stratified Sampling: In stratified sampling, you divide your population into subgroups (strata) based on certain characteristics (in this case, sections). Then, you randomly select samples from each subgroup in proportion to their size in the population. This ensures that each section is represented according to its proportion in the total population.

These methods will help you obtain a representative sample from each section while accounting for the different sizes of the sections in your Stat 200 course.

One day at St. Philip's High School, 1/2 of the pupils walked to school, 1/5 of the pupils came to school by bus, and the remaining 57 pupils came by car.What fraction came to school by car?

Answers

The first thing to do is the make the denominators of the fractions the same. 

5/10 of the pupils walked to school and 2/10 of the pupils came to school by bus. 
5/10 + 2/10 = 7/10. 
10/10 - 7/10 = 3/10. 

3/10 of the pupils came to school by car. 

Find The Slope && Y-Intercept Of The Graph ...

Y = 6x + 11

Answers

The slope is the term that follows the x, so...

\boxed{\boxed{slope=6}}

now, the interception of Y happens when the X is equal 0, then...

y=6x+11

y=6*0+11

\boxed{\boxed{y=11}}

Answer: slope is 6/1. y intercept is 11

Step-by-step explanation:

y = mx + b

the slope is the m value and the y intercept is the b value.

Hannah reads 3 pages every 8 minutes. Write an equation that shows the relationship between the number of pages she reads (p) and the number of minutes she spends reading (m).

Answers

Answer: The required relation is,

p=(3)/(8)m

Step-by-step explanation:

Since, he reads 3 pages in every 8 minutes.

That is, 8 minutes = 3 pages,

⇒ 1 minutes = 3/8 pages,

Also, he is reading with the constant speed,

\implies \text{m minutes}= (3)/(8)m

Here, p represents the number of pages read in m minutes,

\implies p=(3)/(8)m

Which is the required relation between the number of pages she reads (p) and the number of minutes she spends reading (m).

Answer:

p = 3/8 m

BECAUSE MATHHHHHH!!!

In the next 3 hours, the crew was digging at a rate of -2.5 feet each hour. During the last 2 hours, the crew slowed to a rate of -2.25 feet each hour. What number would they record for the location after the 8 hours?

Answers

To calculate the location after 8 hours of digging at different rates, you can sum up the distances they dug during each time period.

In the first 3 hours, they dug at a rate of -2.5 feet per hour, so they dug a total of:
3 hours * (-2.5 feet/hour) = -7.5 feet

In the next 2 hours, they dug at a rate of -2.25 feet per hour, so they dug a total of:
2 hours * (-2.25 feet/hour) = -4.5 feet

Now, add these two distances together to find their location after 8 hours:
-7.5 feet + (-4.5 feet) = -12 feet

So, they would record a location of -12 feet after 8 hours of digging.

Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

That looks like interior angle to me

x = 47 (since interior angles are congruent)

Step-by-step explanation:

I am really sleepy... :/