Which points are solutions to the linear inequality y

What did the policeman shout to the math professor as a mob of excited calculus students crowded around these displays on his gr

sladkih [1.3K]

I don't know, what did the policeman shout to the math professor as a mob of excited calculus students crowded around these displays on his graphing calculator?

4 0

1 year ago

Michael earns $21 per hour and works 40 hours per week. How many overtime hours would he have to worky in a week for his time-an

Alex73 [517]

Answer:

27 hours

Step-by-step explanation:

The regular hours are paid normally, 21/hr hence working for 40 hours, Michael earns 40*21=$840

To work x hours paid overtime as 1.5 of the normal rate, the rate would be $21*1.5=$31.5/hr

X hours multiplied by rate of $31.5/hr should be at least equal to $840

31.5x>=840

X>=840/31.5>=26.6667 hours and when rounded off

X is 27 hours

6 0

2 years ago

The parallel dotplots below display the girths (belly

liraira [26]

Answer:

The standard deviation for the distribution of girths is

about the same for both male and female pigs.

Step-by-step explanation:

Step 1

We will interprete the dotplots

For the Male pigs

24, 26, 26, 26, 26, 26, 26, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 30, 30, 30, 30, 30, 30, 32

Range

Maximum value - Minimum value

= 32 - 24

= 8

IQR = Interquartile range = Q3 - Q1

Q1 formula = 1/4(n + 1)th

=n = 25

= 1/4(25 + 1)

= 1/4(26)

= 26/4

= 6.5

This mean the value is between the 6th and 7th value

6th value = 26

7th value = 26

Q1 = 26 + 26/2

Q1 = 26

Q3

Q3 formula = 3/4(n + 1)th

=n = 25

= 3/4(25 + 1)

= 3/4(26)

= 78/4

= 19.5

This mean the value is between the 19th and 20th value

19th value = 30

20th value = 30

Q3= 30+ 30/2

= 30

IQR = 30 - 26

= 4

Standard deviation

Mean

First we find the mean

= 24+ 26+26+ 26+ 26+ 26+26+28+ 28+ 28+ 28+28+ 28+ 28+28+ 28+28+28+30+ 30+30+ 30+30+30+32/28

= 700/25

= 28

Standard deviation Formula = √(x - mean)²/n - 1

= √[(24-28)² + (26- 28)² + (26 -28)² + (26 - 28)² +................ (32 - 28)²]/25 - 1

= √(16 + 4 + 4+ 4+ 4+4+ 4+0+ 0+ 0+ 0+0+ 0+ 0+ 0+0+0+0+ 4+ 4+4+4+4+ 4+ 16)/25 - 1

= √80/25 - 1

=√3.333333333

1.825741858

Female Pigs

21, 23, 23, 23,23,23,23,25, 25, 25, 25, 25, 25, 25, 25, 25, 25,25, 27, 27, 27, 27,27, 27, 29

Range:

Maximum value - Minimum value

= 29 - 21

8

IQR

IQR = Interquartile range = Q3 - Q1

Q1 formula = 1/4(n + 1)th

=n = 25

= 1/4(25 + 1)

= 1/4(26)

= 26/4

= 6.5

This mean the value is between the 6th and 7th value

6th value = 23

7th value = 23

Q1 = 23 + 23/2

Q1 = 23

Q3

Q3 formula = 3/4(n + 1)th

=n = 25

= 3/4(25 + 1)

= 3/4(26)

= 78/4

= 19.5

This mean the value is between the 19th and 20th value

19th value = 27

20th value = 27

Q3= 27+ 27/2

Q3 = 27

IQR = 27 - 23

= 4

First we find the Mean

=(21+23+23+23+23+23+23+25+ 25+ 25+ 25+25+ 25+ 25+ 25+25+25+25+27+27+ 27+27+27+ 27+29)/25

= 625/25

= 25

Standard deviation Formula = √(x - mean)²/n - 1

= √[(21-25)² + (23- 25)² + (23 -25)² + (23 - 25)² +................ (29 - 25)²]/25 - 1

= √(16 + 4 + 4+ 4+ 4+4+ 4+0+ 0+ 0+ 0+0+ 0+ 0+ 0+0+0+0+ 4+ 4+4+4+4+ 4+ 16)/25 - 1

= √80/25 - 1

=√3.333333333

1.825741858

Looking at the calculation above and comparing both the girths from the male and female

We can conclude that: The standard deviation for the distribution of girths is

about the same for both male and female pigs which is 1.825741858

5 0

2 years ago

Question 1(Multiple Choice Worth 2 points)

earnstyle [38]

These are 3 questions and 3 answers.

1) Find

$\lim_{x \to \ 2^+} f(x)$

Answer: 4.

Explanation:

The expression means the limit as the function f(x) approaches 2 from the right.

Then, you have to use the function (the line) that comes from the right of 2 and gets as close as you want to x = 2.

That is the line that has the open circle around y = 4, and that is the limit searched.

2) Use the graph to determine the limit if it exists.

Answer:

$\lim_{x \to \ 2^-} f(x) = 3$

$\lim_{x \to \ 2^+} f(x)=-3$

To determine each limit you use the function from the side the value of x is being approached.

Note, that since the two limits are different it is said that the limit of the function as it approaches 2 does not exist.

3)
Answer: - 1

$\lim_{x \to \ 3^-} f(x) = -1$

To find the limit when the function is approached to 3 from the left you follow the line that ends with the open circle at (3, -1).

Therefore, the limit is - 1.

5 0

2 years ago

Read 2 more answers

A rectangle has height and width changing in such a way that the area remains constant 2 square feet. At the instant the height

hichkok12 [17]

Answer:

$\frac{1}{3}$ ft/min is the rate of changing of width

Step-by-step explanation:

Given -

The area always remain constant i.2 2 square feet.

Height of the rectangle = 2 feet

Rate of changing of height = 6 feet per minute

Since area is constant

2 sq ft = (2 * 6) ft/min * 1 * x ft/min

x = $\frac{1}{3}$ ft/min

4 0

2 years ago

Which points are solutions to the linear inequality y < 0.5x + 2