MATHEMATICS COLLEGE

Find the slope (m) and the y-intercept (b) of the given line on the graph. pls show work/explanation!

Answers

Answer 1

Answer:

Answer:

Slope: 1; Y-int: (0,2)

Step-by-step explanation:

The slope is rise over run, the equation is y two minus y one divided by x two minus x one.

(3-2) / (1-0) = 1

The y-int. is where the line crosses the y-axis, or the x value is 0.

Hope this helps :)

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The commute times (in minutes) of 30 employees are listed below. (a) Find Qi, Q3, and the interquartile range (IQR).
(b) Find the fences and determine if there are any outliers in the sample.
20 4 45 48 52 55 56 60 63 65 67 68 6 70 74 75 77 78 79 80 81 82 8 85 87 88 90 92 95 99

Answers

Answer:

Q1 = 54.25 ; Q3 = 82.75 ; IQR = 28.5 ; Outliers = 4, 6, 8

Step-by-step explanation:

Quartiles divide data into 4 equal parts. Q1 has 25% data below it & 75% above it, Q3 has 75% data below it & 25% data above it.

Quartile Calculation for 30 number of observations

Ascending order : 4, 6, 8, 20, 45, 48, 52, 55, 56, 60, 63, 65, 67, 68, 70, 74, 75, 77, 78, 79, 80, 81, 82, 85, 87, 88, 90, 92, 95, 99
Q1 = (N + 1) / 4th observation = [ (30 + 1)/4 ] th obs. = (31 /4) th = 7.75th = 7th item + 0.75 (7th - 8th item) = 52 + 0.75 (55-52) = 52 + 0.75(3) = 52 + 2.25 = 54.25
Q3 = 3 [(N+1) / 4] th observation = 7.75 x 3 = 23.25th item = 23rd item + 0.25 (24th - 23rd item) = 82 + 0.25 (85-82) = 82 + 0.25 (3) = 82 + 0.75 = 82.75
Interquartile range (IQR) = Q3 - Q1 = 82.75 - 54.25 = 28.5

Outliers are the observations less than Q1 - 1.5 (IQR) , more than Q3 + 1.5 (IQR)

Q1 - 1.5 (IQR) = 54.25 - 1.5 (28.5) = 54.25 - 42.75 = 11.5 .So, numbers less than 11.5, ie 4, 6, 8 are outliers
Q3 + 1.5 (IQR) = 82.75 + 1.5 (28.5) = 82.75 + 42.75 = 125.5 .There are no numbers > 125.5

Final answer:

To find Qi, Q3, and the interquartile range (IQR), first, the data needs to be sorted in ascending order. Then, find Q1 as the median of the lower half and Q3 as the median of the upper half. The IQR is the difference between Q3 and Q1. To determine if there are any outliers, calculate the fences using the formulas: Lower fence = Q1 - (1.5 * IQR) and Upper fence = Q3 + (1.5 * IQR). If any commute times fall outside the fences, they are considered outliers.

Explanation:

To find the quartiles, the data needs to be sorted in ascending order. The sorted list is:

4, 6, 8, 20, 45, 48, 52, 55, 56, 60, 63, 65, 67, 68, 70, 74, 75, 77, 78, 79, 80, 81, 82, 85, 87, 88, 90, 92, 95, 99

Q1 is the median of the lower half (ignoring the median if the number of data points is odd), so Q1 = 56.

Q3 is the median of the upper half, so Q3 = 81.

The interquartile range (IQR) is the difference between Q3 and Q1, so IQR = Q3 - Q1 = 81 - 56 = 25.

To find the fences, use the formulas:

Lower fence: Q1 - (1.5 * IQR)

Upper fence: Q3 + (1.5 * IQR)

Lower fence = 56 - (1.5 * 25) = 56 - 37.5 = 18.5

Upper fence = 81 + (1.5 * 25) = 81 + 37.5 = 118.5

There are no commute times that fall outside the fences, so there are no outliers in the sample.

Learn more about quartiles here:

brainly.com/question/8587717

#SPJ3

Chris had a job walking dogs on the weekends. He earned $8.75 per dog. He walked 5 dogs a week for 7 weeks. How much money did Chris earn?

Answers

Answer:

Chris's total earning will be: $306.25

Step-by-step explanation:

Given:

Total number of dogs = d = 5

Number of weeks = w = 7

Cost for walking per dog = c = $8.75

First of all, we will calculate his per week cost of walking 5 dogs

Per week cost of walking 5 dogs = d*c = 8.75*5 = $43.75

Then for the cost of 7 weeks, the amount of one week will be multiplied by 7

Total earning will be:

$= 43.75*7 = 306.25$

Hence,

Chris's total earning will be: $306.25

Answer:

he should be making $306.25

Step-by-step explanation:

what i did was multiply his $8.75 a dog by 5 then multiply it by the 7 weeks

In this card game, a player is dealt 10 cards. A player wins $1,000,000 if he is dealt 8 hearts. Use combinatorics to set up your problem a. Calculate the probability a player is dealt exactly 8 hearts b. Calculate the probability a player is dealt exactly 8 hearts if the first tweo cards he was dealt were diamonds. 2

Answers

Assume a standard deck of 52 cards with 4 suits of 13 cards each.

a. There are $\dbinom{13}8\dbinom{39}2$ ways of being dealt a hand consisting of 8 hearts and 2 non-hearts, so the probability of being dealt such a hand is

$\frac{\dbinom{13}8\dbinom{39}2}{\dbinom{52}{10}}\approx0.0000602823$

b. This time, the non-hearts specifically belong to the suit of diamonds, for which there are $\dbinom{13}2$ ways of getting drawn, so the probability is

$\frac{\dbinom{13}8\dbinom{13}2}{\dbinom{52}{10}}\approx0.0000063455$

To keep pace with a growing population, approximately _______ jobs must be created each month. A. 100,000 B. 137,000 C. 1 million D. 185,000

Answers

Answer:

The correct answer is A. 100,000

Step-by-step explanation:

According to the information published on the federal portal of the White House, "Over 2019, the United States added an average of 176,000 jobs a month. To put that growth into perspective, the U.S. economy needs to create around 70,000 jobs a month to keep pace with working-age population growth. Any employment growth above this level is typically from workers coming off the sidelines. "

In consequence, the closest alternative to 70,000 is A. 100,000.

A bag contains 10 marbles. Four of them are red, three blue, two white and one yellow. A marble is drawn at random. What is the probability it is not blue?

Answers

Probability =
(number of different successful results) / (number of all possible results) .

Number of marbles that are not blue = 7
Number of marbles in the bag = 10
Probability that one marble drawn at random is not blue = 7/10 = 70% .

For all probability questions of this type, the probability can be found as:
$P_(desired)=(desired)/(total)$

or, more simply:
$P_(x)=(n_(x))/(n_total)$

In this case:
$P_(notblue)=(notblue)/(total)$
$P_(notblue)=(red+white+yellow)/(red+blue+white+yellow)$
$P_(notblue)=(4+2+1)/(4+3+2+1)$
$P_(notblue)=(7)/(10) = 70\%$

Smplify the following algebraic expression: 6(2y + 8) - 2(3y - 2)

Answers

Answer:

6y +52

Step-by-step explanation:

6(2y + 8) - 2(3y - 2)

Distribute

12y + 48 - 6y +4

Combine like terms

6y +52

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