James has $20 in his wallet and makes $10 per hour. Kelly has $50 in her wallet but only makes $8 per hour.

How many hours of work will it take for these two people to have the same amount of money?

Answer:

(a) [tex]s = 2.56[/tex]

(b) [tex]s = 1.71[/tex]

Step-by-step explanation:

Given

Tables (a) and (b)

Required

Determine the standard deviation

For (a):

[tex]\bar x = 11.5[/tex] --- mean

The standard deviation is calculated as:

[tex]s = \sqrt{\sum np(1-p)}[/tex]

This gives:

[tex]s = \sqrt{5*0.1*(1-0.1) +10 * 0.5 * (1 - 0.5) + 15 *0.4*(1-0.4) }[/tex]

[tex]s = \sqrt{5*0.1*0.9 +10 * 0.5 * 0.5 + 15 *0.4*0.6 }[/tex]

[tex]s = \sqrt{6.55}[/tex]

[tex]s = 2.56[/tex]

For (b):

[tex]\bar x = 4.4[/tex] --- mean

The standard deviation is calculated as:

[tex]s = \sqrt{\sum np(1-p)}[/tex]

This gives:

[tex]s = \sqrt{1*0.2*(1-0.2) +3 * 0.3 * (1 - 0.3) + 5 *0.1*(1-0.1) + 7*0.4*(1-0.4)}[/tex]

[tex]s = \sqrt{1*0.2*0.8 +3 * 0.3 * 0.7 + 5 *0.1*0.9 + 7*0.4*0.6}[/tex]

[tex]s = \sqrt{2.92}[/tex]

[tex]s = 1.71[/tex]

Answer:

8

Step-by-step explanation:

568÷65=8

Answer:

369.2

Step-by-step explanation:

65% of 568

= 65/100 x 568

=36920/100

=1846/5

=369.2

Answer:

D) -4(-1) > 2 is a true statement

Step-by-step explanation:

A) 3 < 0  False

B) -6 > -1  False

C) 0 < -4  False

Answer:

x=8

Step-by-step explanation:

subtract 9 from 17 to get x alone on one side. 17-9=x+9-9. That will equal 8=x. Hope this helps

Answer:

hello !

x = 8

transpose nine to isolate x:

17 - 9 = x

8 = x

Answer:

117 is the smaller value and 231 is the larger value

Step-by-step explanation:

Standard deviation is 57

Middle 50% is average and one standard deviation to each direction

So if the average is 174

174 - 57 is 117

174 + 57 is 231

Answer:

1079

Step-by-step explanation:

213

+857= 1070

sum means addition .

Answer:

15 feet and the cost is $41.25

Step-by-step explanation:

Answer:

3) Each cookie costs $2.75

Step-by-step explanation:

That statement is true based on the graph.

Answer: i dont know

Step-by-step explanation:

Answer:

[tex]A = (5,3)[/tex]

[tex]B = (-5,3)[/tex]

[tex]C = (-5,-8)[/tex]

[tex]D = (5,-8)[/tex]

Step-by-step explanation:

Required

[tex]Perimeter = 42[/tex]

Construct a rectangle whose perimeter is 42 units and satisfies the given conditions.

First, name the rectangle ABCD.

Such that:

[tex]A = (x_1,y_1)[/tex]

[tex]B = (x_2,y_2)[/tex]

[tex]C = (x_3,y_3)[/tex]

[tex]D = (x_4,y_4)[/tex]

For the rectangle to be either horizontal or vertical, then:

[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]

We have that:

[tex]Perimeter = 42[/tex]

Replace perimeter with its formula

[tex]2(AB + BC) = 42[/tex]

Divide both sides by 2

[tex]AB + BC = 21[/tex]

This implies that, the distance between adjacent sides (through the edges) must be equal to 21

Having said that: a set of coordinates that satisfy the given conditions are:

[tex]A = (5,3)[/tex] -- First quadrant

[tex]B = (-5,3)[/tex] -- Second quadrant

[tex]C = (-5,-8)[/tex] -- Third quadrant

[tex]D = (5,-8)[/tex] -- Fourth quadrant

The above quadrants satisfy the condition:

[tex]y_1 = y_2[/tex] and [tex]y_3 = y_4[/tex]

HOW TO KNOW THE PERIMETER IS 42

To do this, we simply calculate the distance between the edges and add them up

Distance is calculated as:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2[/tex]

For AB

[tex]A = (5,3)[/tex]

[tex]B = (-5,3)[/tex]

[tex]D_1 = \sqrt{(5 - (-5))^2 + (3 - 3)^2}= \sqrt{(10)^2 + (0)^2} = \sqrt{100} = 10[/tex]

For BC

[tex]B = (-5,3)[/tex]

[tex]C = (-5,-8)[/tex]

[tex]D_2 = \sqrt{(-5 - (-5))^2 + (3 - (-8))^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]

For CD

[tex]C = (-5,-8)[/tex]

[tex]D = (5,-8)[/tex]

[tex]D_3 = \sqrt{(-5 -5)^2 + (-8 - (-8))^2}= \sqrt{(-10)^2 + (0)^2} = \sqrt{100} = 10[/tex]

For DA

[tex]D = (5,-8)[/tex]

[tex]A = (5,3)[/tex]

[tex]D_4 = \sqrt{(5 -5)^2 + (-8 -3)^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11[/tex]

So, the perimeter is:

[tex]P = D_1 + D_2 + D_3 + D_4[/tex]

[tex]P = 10 + 11 + 10 +11[/tex]

[tex]P = 42[/tex]

See attachment for rectangle

Answer:

12/5 gallons/minute, or 2 2/5 gallons/minute

Step-by-step explanation:

Find the unit rate with time as the independent variable:

2 gallons

---------------- = 12 gallons / 5 minutes = 12/5 gallons/minute

5/6 minute

Answer:

.41666 or 5/12 Gallons per minute

Step-by-step explanation:

5/6 divided by 2

Answer:

-The equation that represents the approximate distance Aaron's dog sled team travels over time is Y = 5.32X.

-The equation that represents the approximate distance Dallas' dog sled team travels over time is Y = 5.48X.

-The equation that represents the approximate distance Mitch's dog sled team travels over time is Y = 5.42X.

Step-by-step explanation:

Given that every year, a dog sled race is held in Alaska and is approximately 1,150 miles in distance, based on the listed information, the speed rate of every racer is:

Aaron = 575 miles in 4 days and 12 hours = 575 miles in 108 hours = 5.32 mph

Dallas = 1,150 miles in 8 days and 18 hours = 1,150 miles in 210 hours = 5.476 mph

Mitch = 287.5 miles in 2 days and 5 hours = 287.5 miles in 53 hours = 5.42 mph

Therefore, the correct answers are:

-The equation that represents the approximate distance Aaron's dog sled team travels over time is Y = 5.32X.

-The equation that represents the approximate distance Dallas' dog sled team travels over time is Y = 5.48X.

-The equation that represents the approximate distance Mitch's dog sled team travels over time is Y = 5.42X.

Answer:

See the attached document

Answer:

These are functions, you must operate accordingly

Step-by-step explanation:

is the 2 in 3x2 an exponent

if it is the answer is 81

Answer:

12

вот правильный ответ

I think it is possibly point b

Answer:

a<-11

Step-by-step explanation:

Answer:

4.75 if you don't have to convert it to US dollars.

Step-by-step explanation:

1. The question is asking how much is the cost of each sachet.

2. One given fact is that 6 pieces of a sachet cost 28.50.

3. Division.

4. Can't tell if you're asking for the equation but 28.50 / 6 = 4.75. Or do 28.50 / 6 = c

5. 4.75.

If they're asking you to convert it into united states dollars:

1. It's asking how much is the cost of each sachet.

2. One given fact is that 6 pieces of a sachet cost 28.50.

3. Division.

4. Can't tell if you're asking for the equation but 28.50 / 49 = 0.58163265306 (0.59 if you round it) Or do 28.50 / 49 = c

5. 0.59.

Tbh I just used g00gle and converted philiphine pesos to USD (United States) dollars, if it's not right, then sorry-

Hope this helped!!

Answer:

2?

Step-by-step explanation:

I think im wrong/ creo que estoy mal?!

Answer:

138

Step-by-step explanation:

c=5

d=4

6c^2-5d+8

substitute c & d

6(5)^2-5(4)+8

6(25)-20+8

150-20+8 = 138

Answer:

Oct 20, 2019 — So how many flights does it takes for stair climbing to qualify as a workout? ... the Harvard Alumni Health study reported that climbing 10-19 flights a week (two ... But to be clear, we're not talking about the type of stair climbing you do ... of 20 seconds (about 60 steps) or a single/double flight of stairs that ca

Step-by-step explanation:

Answer:

answer: B

Step-by-step explanation:

brainliest pls

Answer:

13

Step-by-step explanation:

Answer:

1,040 dollars

Step-by-step explanation:

Answer:

2√5 ≅ 4.47

Step-by-step explanation:

Answer:

which language is this