An object is moving at a speed of 6 miles per month. Express this speed in feet per hour.

Answer:

The equation that models the relationship between Z and N is N = 56 Z

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

∵ Mark reads 42 pages of a book every [tex]\frac{3}{4}[/tex] of an hour

→ Find his rate per hour by dividing the number of pages by its time

∴ His rate of reading = 42 ÷  [tex]\frac{3}{4}[/tex] = 42 ×  [tex]\frac{4}{3}[/tex] = 56 pages per hour

∵ His rate = 56 pages/hour

∴ m = 56

∵ Z represents the number of hours Mark reads

→ That means replace x in the form of the equation above with Z

∵ N represents the number of pages of the book he reads

→ That means replace y in the form of the equation above with N

∴ N = 56 Z + b

∵ There is no initial amount of reading

∴ b = 0

∴ N = 56 Z

The equation that models the relationship between Z and N is N = 56 Z

Answer:

a. 15 students

b. 32 students

c. 35 students

d. 34 students

e. 55 students

f. 67 students

Step-by-step explanation:

See attachment for complete question

Solving (a): Tricycle, Motorcycle and Car

This is the intersection of Tricycle, Motorcycle and Car.

From the attached Venn diagram, there are 15 students in this category

Solving (b): Tricycle and Motorcycle.

This is the intersection of Tricycle and Motorcycle.

From the attached Venn diagram, we observe the following data:

[tex]Tricycle\ and\ Motorcycle\ only =17[/tex]

[tex]All = 15[/tex]

[tex]Tricycle\ and\ Motorcycle = All + Tricycle\ and\ Motorcycle\ only[/tex]

[tex]Tricycle\ and\ Motorcycle = 15 + 17[/tex]

[tex]Tricycle\ and\ Motorcycle = 32[/tex]

Solving (c): Car and Motorcycle.

This is the intersection of Car and Motorcycle.

From the attached Venn diagram, we observe the following data:

[tex]Car\ and\ Motorcycle\ only = 20[/tex]

[tex]All = 15[/tex]

So:

[tex]Car\ and\ Motorcycle = All + Car\ and\ Motorcycle\ only[/tex]

[tex]Car\ and\ Motorcycle = 15 + 20[/tex]

[tex]Car\ and\ Motorcycle = 35[/tex]

Solving (d): Car and Tricycle.

This is the intersection of Car and Tricycle.

From the attached Venn diagram, we observe the following data:

[tex]Car\ and\ Tricycle\ only = 19[/tex]

[tex]All = 15[/tex]

So:

[tex]Car\ and\ Tricycle = All + Car\ and\ Tricycle\ only[/tex]

[tex]Car\ and\ Tricycle = 15 + 19[/tex]

[tex]Car\ and\ Tricycle = 34[/tex]

Solving (e): Car only

From the attached Venn diagram, we observe the following data:

[tex]Car\ only = 55[/tex]

Solving (e): Motorcycle only

From the attached Venn diagram, we observe the following data:

[tex]Motorcycle\ only = 67[/tex]

Answer: 0.1257

Step-by-step explanation:

Let [tex]z_0[/tex] be the z-score that corresponds to a right tail area of 0.45.

We need to find [tex]z_0[/tex] such that [tex]P(z>z_0)=0.45[/tex]

From the z-score table, z-value corresponds for area of 0.45 is 0.1257.

That means  [tex]z_0=0.1257[/tex]

Hence, the approximate z-score that corresponds to a right tail area of 0.45 is 0.1257 .

Answer: 2,9

(3,3) & (-2,6) midpoints

Answer:

(0.5,4.5)

Step-by-step explanation:

Use the midpoint formula to find the answer: ((x1+x2/2),(y1+y2/2))

((3-2/2),(3+6/2))

((1/2),(9/2))

(0.5,4.5)

Answer and explanation:

Please find answer and explanation attached

Answer:

-3.21

Step-by-step explanation:

If you pay close attention the numbers are 5 points away from each other, so after -3.2 is -3.21! Hope that helped love :)

Answer:

18x +27

Step-by-step explanation:

-9(-2x-3)

Distribute

-9 * -2x -9*(-3)

18x +27

If a, b, and c are all positive integers and 6a + 9b + 20c = 61, then right away you know c < 3, because if c = 3, then 20c = 60, and there are no solutions for a and b.

So consider two cases:

• If c = 2, then we're left with 6a + 9b = 21.

• If c = 1, then 6a + 9b = 41.

We have gcd(6, 9) = 3, but 41 is prime and 3 does not divide 41. So we throw out the second case.

This leaves us with 6a + 9b = 21. Notice that if a = b = 1, then 6a + 9b = 15. Add 6 to both sides to get 21. So a = 2, b = 1, and c = 2, and hence a + b + c = 5.

Answer:

The answer for the question is A, D and E

Answer:

a.

Step-by-step explanation:

is b because is answer is b thank you

whatever how much the money is for one day on the object just multiply the money by the days it's rented out and add together the snowboard total and the boots total

Answer:

358

Step-by-step explanation:

Answer:

9

18

27

36

45

54

63

72

81

90

Step-by-step explanation:

I just take the last numer of the times 9 and subtract 1 and put whatever equals 9.

example 9x7=63

7-1=6+3 so 63

Sorry if it does not make sense

Answer:

The slope is 3 and the y-intercept is 10

Step-by-step explanation:

Answer:

Slope:  3

y-intercept:  ( 0 , 10)

Step-by-step explanation:

y=mx+b

y=3x+10

Hope this Helps!!!

The total volume of the 150 cones is:

Total volume = 39,270 cm³

We know that the volume of a cone of radius R and height H is given by the formula:

V = (1/3)*pi*R²*H

Where pi = 3.1415...

Here we know that the radius of the cone is 5cm and the height is 10cm, then:

R = 5cm

H = 10cm

We can replace these values to get:

V = (1/3)*3.1415*(5cm)²*10cm

The volume of the cone will be:

V = 261.8 cm³

And there are 150 of these cones, so the total volume is 150 times the above one:

Total volume = 150*261.8 cm³ = 39,270 cm³

Learn more about volume at:

https://brainly.com/question/1972490

#SPJ1

Answer:

12 girls =)

Step-by-step explanation:

Make a table labeled girls and boys like this

2|3

4|6

6|9

8|12

Multiply until you get to 8 boys

Answer:

5 km

Step-by-step explanation:

to convert m to km you have to divide by 1000.

5000/1000=5

hope this helps!

Answer:

1, 2, and 5

Step-by-step explanation:

Oxford, MS, has the highest elevation

Death Valley, CA, has the lowest elevation

The elevation of New Orleans, LA, is at sea level

Answer:

False. It's not in the descending order for variable x.

Step-by-step explanation:

Given polynomial is,

-15x⁵y + 13x²y⁴ - x⁸

'x' is a variable in the given polynomial.

Order or degree of term x⁸ = 8

Order of term -15x⁵y = 5

Order of term 13x²y⁴ = 2

Descending order for the variable x will be,

8 > 5 > 2

So the descending order for the variable 'x' will be,

-x⁸ - 15x⁴y + 13x²y⁴

Therefore, Option (1) False is the correct option.

Given:

Total number of members = 30

Number of democrats = 12

Number of republicans = 18

To find:

Number of different committees consisting of 8 democrats  and 8 republicans are possible to be formed.

Solution:

Total number of ways to selecting 8 democrats  from 12 democrats  is

[tex]^{12}C_8=\dfrac{12!}{8!(12-8)!}[/tex]

[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9\times 8!}{8!4!}[/tex]

[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9}{4\times 3\times 2\times 1}[/tex]

[tex]^{12}C_8=495[/tex]

Total number of ways to selecting 8 republicans from 18 republicans  is

[tex]^{18}C_8=\dfrac{18!}{8!(18-8)!}[/tex]

[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11\times 10!}{8!10!}[/tex]

[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11}{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}[/tex]

[tex]^{18}C_8=43758[/tex]

Now, number of different committees consisting of 8 democrats  and 8 republicans are possible to be formed is

[tex]^{12}C_8\times ^{18}C_8=495\times 43758[/tex]

[tex]^{12}C_8\times ^{18}C_8=21660210[/tex]

Therefore, the total possible ways are 21660210.

Answer:

155

Step-by-step explanation:

All you do is subtract negetive 167 and take -12 away from 167.

Answer:

Slope = 5/4

Step-by-step explanation:

GCF of 10 and 8 is 2, divide both values by two and have the 10 as the rise and 8 as the run.

Answer:

12%

Step-by-step explanation:

You never gave any numbers than 12% and you asked how much the commission would be...

If he gets 12% commission then he would have to pay 12% commission.

Answer:

umm i think so

Step-by-step explanation:

Answer:

n=7/5 m= 5

Step-by-step explanation:

Answer:

0.0806

Step-by-step explanation:

From the given information:

Number of toss = 50

The probability of having a head = 1/2 = 0.5

The Probability of 8th head occur on 12th toss can be computed as :

Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)

Pr(8th head occur on 12th toss) =  C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5

Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5

Pr(8th head occur on 12th toss) =  0.0806

Answer:

The probability of 8th heads,

That is occurred on 12th toss.

Step-by-step explanation:

A coin is tossed 50 times.

There are two possible outcomes of occurring a head or tail.

Probability of occurring head = no.of head/ possible outcomes

                                                    = 1/2

Total number of tossing a coin= 50 times

Probability of 8th heads occurs on 12th toss:

                                                         12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12

                                 =         12C8  (1/2)8+9+10+11+12

                                                    = 12C8  (1/2)50

                                  = 12C8   / 250

                                                       = 495 / 1125899906842624

                                  = 4396.48317752 x 10-16

This is the probability of 8th heads,

That is occurred on 12th toss.

That's what I got, not sure if it was what you were looking for.

Answer:

-5

Step-by-step explanation:

Is the Answer

Answer:

-11

Step-by-step explanation:

This is the answer because:

1) First, multiply the negative sign with the positive sign.

Negative x Positive = Negative

Equation: -7 - 4

2) Now, multiply the negative sign with the negative sign.

Negative x Negative =  Positive  

Equation: 7 + 4 = 11

3) Finally, add the greater number's sign (-7) in front of the number.

-11

Hope this helps! :D

Answer:

t is  9/16

Step-by-step explanation:

Answer:

9/16

Step-by-step explanation:

Answer:

A) The probability that the event will occur[tex]=\frac{1}{7}[/tex]

B)The probability that the event will not occur = [tex]\frac{6}{7}[/tex]

Step-by-step explanation:

We are given that The odds of event occurring are 1:6.

So, Number of successful events = 1

Number of unsuccessful events = 6

So, Total events = 6+1=7

a)the probability that the event will occur=[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]

The probability that the event will occur[tex]=\frac{1}{7}[/tex]

b)The probability that the event will not occur =[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]

The probability that the event will not occur = [tex]\frac{6}{7}[/tex]