Mark reeds 42 pages of a book every 3/4 of an hour write an equation that models the relationship between Z, the number of hours mark reads, NY, the number of pages of the book He reads

Answers

Answer 1

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

m is the rate ⇒ slopeb is the initial amount ⇒ y-intercept

∵ 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


Related Questions

Please help
Find the length of the unknown side. Round your answer to the nearest whole number. (4 points)

Image of a right triangle with legs labeled 12 meters and 8 meters. Hypotenuse is unknown.
13 meters
14 meters
200 meters
208 meters

Answers

Answer: 14 meters

Step-by-step explanation:

Pythagorean Theorem formula = a^2 + b^2 = c^2

8^2 + 12^2 = c^

64 + 144 = 208

Now find the square root of 208 = 14.422

Answer:

You answer is 24! hope yhis helps

Step-by-step explanation:

Can you guys help me with this geometry problem tysm

Answers

Answer:

m∠UVW = 12°

m∠XYZ = 78°

Step-by-step explanation:

m∠UVW = (x - 10)°

m∠XYZ = (4x - 10)°

∠UVW + ∠XYZ = 90°

(x - 10) + (4x - 10) = 90

   x - 10 + 4x - 10 = 90

               5x - 20 = 90

                       5x = 110

                         x = 22

m∠UVW = (22 - 10)° = 12°

m∠XYZ = (4(22) - 10)° = 78°

solve the system of equations
y=x-2
x+y=10

Answers

Answer:

Step-by-step explanation:

x + x - 2 = 10

2x - 2 = 10

2x = 12

x = 6

y = 6 -2

y = 4

(6,4)

Convert 6 feet to meters.
Conversion table:
1 meter = 3.281 feet

Answers

Answer:

6 feet = 1.8288 meters

Step-by-step explanation:

Hope this helps and have a phenominal day!

plz help hurry ill give brainllest
Use the number line to determine where to plot each rational number.

4.2 is

StartFraction 7 over 8 EndFraction is

Negative StartFraction 9 over 5 EndFraction is

Answers

Answer:

Step-by-step explanation:

Use the number line to determine where to plot each rational number.

4.2 is

✔ between 4 and 5, closer to 4

StartFraction 7 over 8 EndFraction is

✔ between 0 and 1, closer to 1

Negative StartFraction 9 over 5 EndFraction is

✔ between -1 and -2, closer to -2

The number 4.2 is between the 4 and 5, also closer to 4, Agian the number 7/8 between 0 and 1, closer to 1, and -9/5 number between -1 and -2, closer to -2

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have numbers 4.2

The number 4.2 is between the 4 and 5, closer to 4

=7/8 = 0.875

Now 0.875 number between 0 and 1, closer to 1

-9/5 = 1.8

The 1.8 number between -1 and -2, closer to -2

Thus, We can conclude that number 4.2 is between the 4 and 5, closer to 4.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

What is the estimated sum of 503, 472, 486, 499, 539, and 522?

Answers

Answer:

3021

Step-by-step explanation:

Answer:

Your answer is: Estimated is: 3,000

The real answer was:

3,021.

Step-by-step explanation:

Hope this helped : )

pls help will give brainliest

Answers

Answer:

14 units

Step-by-step explanation:

Answer:

[tex]\sqrt{116[/tex] ( award branliest :) )

Step-by-step explanation:

When you insert both points into the distance formula which is

d = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]  you arrive at the final answer of [tex]\sqrt{116}[/tex]

How do you do these questions and explanations please?

Answers

Step-by-step explanation:

1. Standard error is SE = σ / √n.  As n increases, SE decreases.

2. Degrees of freedom is d = n − 1.  As n increases, d increases.

3. The t statistic is t = (x − μ) / SE.  As SE decreases, t increases.

4. As n increases, t* decreases and approaches z*.

5. As the t statistic increases, the P-value decreases.

6. Margin of error is t* times SE.  As n increases, MoE decreases.

7. The width of the confidence interval is 2 MoE.  As MoE decreases, the width of the confidence interval decreases.

I have no idea how to do this

Answers

Answer:

it's ok!! thats why you have us!! we're here to help!

13/z

have a nice day!! also hope this helps!

Step-by-step explanation:

Answer:

13 on top

Z on the bottom

Step-by-step explanation:

6 plus 7 is 13

I need help ASAP. Thank you in advance! The choices are true & false.

Answers

The answer is b I think


Write a pair of numbers whose greatest common factor is 10 will give brainlist

Answers

Answer:

20 and 10

Step-by-step explanation:

Answer:

20 ,10

Step-by-step explanation:

hope it helps

Instructions
All of the points in the picture are on the same line.
YA
(6, 10)
(a, 8)
(4.b)
(2, 2)
What is the slope

Answers

where is the picture?

Anyone willing to answer this?

Answers

Answer:

1. perpendicular; the opposite?

2. Parallel; the slopes are the same?

Step-by-step explanation:

Just use Math

way

Can someone help me with this please

Answers

Okay I will help you.

9 7/9 simplified and in mixed number form.

PLEASE MARK ME BRAINLIEST IF I'M RIGHT!! THANKS

emilio worked for 19.5 hours he earned 497.25 how much did he earn per hour?

Answers

Answer:

25.5 per hour

Step-by-step explanation:

497.25/19.5

Answer:

497.25 devided by 19.5= $25.5 per hour

Step-by-step explanation:

Which of the following in NOT an equation of a line parallel to the line with equation y=1/2x-6 *

y = 2/4x + 6
y = 0.5x - 3
y = 1/2x + 1
y = 2x - 4

Answers

9514 1404 393

Answer:

  y = 2x - 4

Step-by-step explanation:

You want an equation with an x-coefficient that is not 1/2.

  2/4 = 0.5 = 1/2

so, the first three answer choices don't meet problem requirements.

The line with equation ...

  y = 2x -4

is not parallel to y = 1/2x -6.

Whats the answers please

Answers

Answer: D,C,B

Step-by-step explanation:These are the answers

B,C, & D are the answers

John had a baseball cards until he gave x cards away. How many cards does he have now?

Answers

Answer:

I don’t think the question makes sense

Started at 20° and dropped 4° each minute

Answers

Answer:

hey mate I couldn't understand ur question.......plz recheck....

Answer:

What's the rest of the question?

Step-by-step explanation:

One number is 2 times another. The sum of their reciprocals is 15 Find the numbers.

Answers

Answer:

7.5 i think

Step-by-step explanation:

10x - 6 = 6x + 6
i need the answer but i think its 3

Answers

Answer:

= 3

Step-by-step explanation:

Add  6 to both sides of the equation 10 − 6 = 6 + 6

10x-6=6x+6 10x−6=6x+6

Simplify Add the numbers Add the numbers again 10 = 6 + 12

Subtract 6 from both sides of the equation

10 = 6 + 12

10−6=6+12−6

Simplify

Combine like terms

Combine like terms again

4 = 12

Divide both sides of the equation by the same term

4=12

[tex]\frac{4x}{4}[/tex] =[tex]\frac{12}{4}[/tex]

Simplify Cancel terms that are in both the numerator and denominator then Divide the numbers.

x = 3

What is the y-intercept of the line with equation 3y - 4x = 9?

Answers

Answer: (0, 3)

Step-by-step explanation: To find the y-intercept, we can plug a 0 in for x.

So we have 3y - 4(0) = 9.

This simplifies to 3y = 9.

Dividing both sides by 3, we find that y = 3.

So our y-intercept is 3 which we can write as the ordered pair (0, 3).

2.6586 divided by 0.633

Answers

Answer:

4.2

Step-by-step explanation:

The answer would 4.2
2.6586 divided by 0.633 equals 4.2

I need help please ​

Answers

Range is y so we set -5x = whatever number you pick from the range values listed, so

-5x = -5  making x=1

-5x = 0 making x=0

-5x = 10 making x=-2

-5x = 15  making x=-3

The domain is {1,0,-2,-3}

are 3,000:18,000 and 10,000:32,000 equivalent

Answers

Answer:

No

Step-by-step explanation:

they are not equivalent

You have a coin with unknown probability p of coming up heads. You wish to generate a random variable which takes the values 0 and 1, each with probability 1/2. Assume 0 < p < 1. You adopt the following procedure. You start by flipping the coin twice. If both flips produce the same side of the coin, you start again. If the result of the first flip is different from the result of the second flip, you report the result of the first flip, and you are finished (this is a trick originally due to John von Neumann). (a) Show that, in this case, the probability of reporting heads is 1/2. (b) What is the expected number of flips you must make before you report a result?

Answers

Answer:

(a) Hence, the probability of reporting heads is 1/2.

(b) Therefore, the expected number of such trial is 1 / 2p (1 –p).

Step-by-step explanation:

Solution:

To generate a random variable takes value 0 and 1.

Let 0 < p <1,

A coin is flipped twice.

(a) Probability of reporting head is 1/2.

The result of two toss is either HT or TH.

In this case we used conditional property, Given that you got either HT or TH,

Probability of occurring head or tail:

P (1ST = H| HT or TH]

= P (H) / P (HT or TH)

= P (HT) / P (HT or TH)

= P (1-P) / P (1-P) + (1-P)P

= P (1-P) / 2P (1-P)

=1/2

Hence, the probability of reporting heads is 1/2.

(b) Expected number of flip before report a result.

The probability of reporting a result on each trial is:

P (HT or TH)

=P (HT) + P (TH)

=P (1-P) + (1 –P) P

= 2P (1 –P)

Since, E(X) = 1 / P

Therefore, the expected number of such trial is 1 / 2p (1 –p).

UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13). The Director of Institutional Research at UCF is interested in testing this information. She decides to conduct a survey of 50 randomly selected recent graduate economic students. The sample mean is $43,350 and the sample standard deviation is 15,000. Alpha = 0.01

Answers

Answer:

There is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.

Step-by-step explanation:

In this case we need to test whether the mean starting salary of a graduate with a bachelor in economics is $48,500.

The information provided are:

[tex]\bar x=\$43350\\s=\$15000\\n=50\\\alpha =0.01[/tex]

The hypothesis for the test can be defined as follows:

H₀: The mean starting salary of a graduate with a bachelor in economics is $48,500, i.e. μ = 48500.

Hₐ: The mean starting salary of a graduate with a bachelor in economics is different from $48,500, i.e. μ ≠ 48500.

As the population standard deviation is not known we will use a t-test for single mean.

Compute the test statistic value as follows:

 [tex]t=\frac{\bar x-\mu}{s/\sqrt{n}}[/tex]

   [tex]=\frac{43350-48500}{15000/\sqrt{50}}\\\\=-2.42773\\\\\approx -2.43[/tex]

Thus, the test statistic value is -2.43.

Compute the p-value of the test as follows:

 [tex]p-value=2\times P(t_{49}>-2.43)=0.0188[/tex]

*Use a t-table.

Thus, the p-value of the test is 0.0188.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

p-value = 0.0188 > α = 0.01

The null hypothesis will not be rejected at 1% level of significance.

Thus, concluding that there is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.

2x^2+2=3x complete the square i need full explaination ASAP

Answers

Answer:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

Step-by-step explanation:

2x² + 2 = 3x

Subtract 3x from both sides so it equals 0:

2x² - 3x + 2 = 0

Divide both sides by 2:

x² - 3/2x + 1 = 0

Subtract 1 from both sides:

x² - 3/2x = -1

Take -3/2 and multiply it by 1/2 then square it:

(-3/2 • 1/2)²

9/16

Add this to both sides:

x² - 3/2x + 9/16 = -1 + 9/16

Rewrite the perfect square on the left and add the terms on the right:

(x - 3/4)² = -7/16

Square root both sides to get rid of the square:

x - 3/4 = ± √-7/16

Simplify the radical:

x - 3/4 = ± √7i/4

Add 3/4 to both sides:

x = 3/4 ± √7i/4

Your two solutions are:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

You can also convert to decimal if you need to (but I don’t recommend it):

x = 0.75 + 0.661438i

x = 0.75 - 0.661438i

Hope this helps!

Chan Hee bought 6.4 pounds of coffee that cost $9.65 per pound. How much did he spend on coffee
?

Answers

Answer: $61.76

Step-by-step explanation:

Multiply the price of coffee ($9.65) times the weight (6.4)

=$61.76

Answer:

50.18

Step-by-step explanation:

.

Plz answer I will mark u brainiest!!!!

Answers

Answer:

65

Step-by-step explanation:

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