Bob needs to read 3 novels each month. Let N be the number of novels Bob needs to read in M months, Write an equation relating N to M. Then use this equation to find the number of novels Bob needs to read in 17 months.

Answers

Answer 1

Answer:

Equation: n=3m; Bob needs to read 51 novels over 17 months.

Step-by-step explanation:

Since the number of novels Bob needs to read (n) depends on the amount of months (m) we can say that n is the dependent variable and m is the independent. Since x is always independent and y is always independent we can say that m is going to stand for x and n is going to stand for y. Each month Bob reads 3 novels so we can write the equations as n=3m. To find out how many books he needs to read in 17 months plug it into the equation. n=3(17) -------------------> n=51

Related Questions

The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years. a. Find the probability that a cat will live to be older than 14 years. b. Find the probability that a cat will live between 14 and 18 years. c. If a cat lives to be over 18 years, would that be unusual? Why or why not? d. How old would a cat have to be to be older than 90% of other cats?

Answers

Answer

a. 0.856

b. 0.78071

c. It is not unusual

d. 13.65 years old

Step-by-step explanation:

The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years.

We solve this question using z score formula:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

a. Find the probability that a cat will live to be older than 14 years.

For x > 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x<14) = 0.144

P(x>14) = 1 - P(x<14) = 0.856

b. Find the probability that a cat will live between 14 and 18 years.

For x = 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x = 14) = 0.144

For x = 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x = 18) = 0.92471

The probability that a cat will live between 14 and 18 years is calculated as:

P(x = 18) - P(x = 14)

0.92471 - 0.144

= 0.78071

c. If a cat lives to be over 18 years, would that be unusual? Why or why not?

For x > 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x<18) = 0.92471

P(x>18) = 1 - P(x<18) = 0.075288

Converting this to percentage:

0.075288 × 100 = 7.5288%

Hence, 7.5288% of the cats live to be over 18 years. Hence, it is not unusual.

d. How old would a cat have to be to be older than 90% of other cats?

From the question above, 10% of the cats would be older than 90% of other cats.

Hence, we find the z score of the 10th percentile

= -1.282

Hence,

-1.282 = x - 15.7/1.6

Cross Multiply

-1.282 × 1.6 = x - 15.7

- 2.0512 = x - 15.7

x = 15.7 -2.0512

x = 13.6488 years old

Approximately = 13.65 years old

if x =20 and y =40 then x and y are

Answers

Answer:

Are directly proportional

4. Write as a fraction in simplest form: 38 minutes to 12 minutes

Answers

Answer:

3 ⅙

Step-by-step explanation:

38 and 12’s common factor would be 2. Now the fraction is 19/6.

How many 6’s can fit into 19? 3. With a remainder of 1 we have:

3 ⅙

A school janitor has mopped
1/3 of a classroom in 5 minutes. At what rate is he mopping?

Answers

Answer:

1/3 of the school in 5 minutes or in 15 minutes he will mop the whole entire school.

Step-by-step explanation:

Answer: 1/15 of a classroom per minute

=================================================

Work Shown:

1/3 of a classroom = 5 minutes

3*(1/3 of a classroom) = 3*5 minutes

1 classroom = 15 minutes

It takes the janitor 15 minutes to mop a full classroom.

The rate is expressed in units of classrooms per minute. This means we'll need to divide both sides by 15 to get

1 classroom = 15 minutes

1/15 classroom = 15/15 minutes

1/15 of a classroom = 1 minute

The janitor's rate is 1/15 of a classroom per minute.

Write the following in standard form: eight and twelve thousandths.

Answers

Answer:

8.012

Step-by-step explanation:

standard : 8.012

written: eight and twelve thousandths.

8.012 hopes this helps

5. What are the dimensions of this matrix?
Please help meeeeeeeeeee

Answers

Answer:

4 x 1

Step-by-step explanation:

The matrix shown in the illustration has 4 rows and 1 column, and thus we give the dimensions as 4 x 1.

Factorise 3x to the power of 2 + xy

Answers

Answer:

x • (3x + y)

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x to the power of to +xy= x (3x+y)

True or False. A triangle can be made with side lengths 4, 4 and 8.

Answers

Answer:

False

Step-by-step explanation:

The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:

C = 5 over 9(F − 32)

The equation below shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F:

C = 5 over 9(F − 32)
Which of the following formulas correctly solves for F?

F = 9 over 5C + 32
F = 9 over 5C − 32
F = 9C + 32 over 5
F = 9C − 32 over 5

Answers

Answer:

F = 9 over 5C + 32

Step-by-step explanation:

Let's consider the following equation that shows the relationship between the temperature in degrees Celsius, C, and degrees Fahrenheit, F.

C = 5 over 9(F − 32)

C = 5/9 (F − 32)

To solve for F, first, we will multiply both sides by 9/5.

C × 9/5 = 5/9 (F − 32) × 9/5

9/5 C = F − 32

Now, we add 32 to both sides.

9/5 C + 32 = F − 32 + 32

9/5 C + 32 = F

F = 9 over 5C + 32

Answer:

F = 9 over 5C + 32

Step-by-step explanation:

A music store marks up the instruments it sells by 30%.
If the price tag on a trumpet says $104, how much did the store pay for it?

Answers

A. $ 58.50

B. $ 80

C. No, it did not mark up 30%.

Step-by-step explanation:Since,

A. We have,

Mark up percentage = 30%

Actual price = $ 45,

B. We have,

SP = $ 104,

C. We have,

AP = $ 75,

SP = $100,

Thus, mark up percentage =

= 33.33 %

Hence, store did not mark up the price by 30%.

1) What is the constant of proportionality that relates y to x
х
Y
8
6
20
15
28
21
a. 1.33
6,48
0.0.75
b. 14
f

Answers

Answer: The Answer Is A Because if u just add the numbers then divide them

Find the area and perimeter of the square using formula and
the given dimensions.
A square with a side length of 13 meters.

A P = 22 m, A = 129 sq. m

B P = 42 m, A = 159 sq. m

C P = 52 m, A = 169 sq. m

D P = 32 m, A = 189 sq. m

Answers

Answer:

A= l×l

= 13×13

A= 169

P= 4l

= 4×13

= 52

so the answer is C

Perform the indicated operation.
1 1/7x 2 4/5

Answers

Explanation: none

Answer: The answer would be 3.2

What is an advantage to using debt snowball method

Answers

Answer:The advantage of the debt snowball is that it helps build motivation for debt repayment. The debt snowball method involves paying off the smallest debts first to get them out of the way before moving on to bigger ones. It's not easy to get excited about debt repayment.

Step-by-step explanation:

Advantages of the debt snowball method The primary advantage of the snowball method is the psychological boost. When you see debts disappearing, it can increase your motivation to continue paying off debt. And even if you’ve only paid off a small balance, your confidence in the progress you’re making grows.

Graph the equation .
y = 4x + 1

Answers

Answer:

-Picture attached-

Step-by-step explanation:

The gradient would be 4, with a rising graph and the y-intercept would be 1. I attached a picture of the graph, hope it helps.

what does the dot (.) stand for in math

Answers

The dot stands for multiplication for example
4 •6 = 24 same as 4x6=24

If you’re talking about decimals

It is a point or dot we use to separate the whole number part from the fractional part of a decimal number. ... The decimal point separates the whole number from the fractional part. Example: In the number 257.16, the decimal point separates the whole number 257 from the fractional part 16, which is 16 hundredths.

Answer:

The dot is called a decimal. Its what separates the whole number and the fraction of the number.

Step-by-step explanation:

For example, 0.5 is saying half, or 50 out of 100.

plz help !!!!! complete the function tables then graph

Answers

Answer:

Step-by-step explanation:

2. Which of the following is the correct value of (0.22) - (0.4)? Show your reasoning. c. 0.088 d. 0.0088 w

Answers

Answer:

Step-by-step explanation:

there would have to be one more zero between 0 and 8 for both of them

Answer the following question:

Answers

Answer:

perimeter is the total length of all the sides. So 2x+2x+10 =4x+10=2x+5

You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.015. Can you be confident that your predicted value will be reasonably close to the actual value?

a. Yes, because the correlation is close to zero, it is strong.
b. Yes, No, because the correlation is close to zero, it is strong.
c. No, because the correlation is close to zero, it is weak.
d. No, because the correlation is negative, it is weak.

Answers

Answer:

Following are the solution to this question:

Step-by-step explanation:

For this set, the correlation coefficient is = -0.015.

It shows that financial variables have trust issues. Once a price rises, the other one is decreasing the value of -0,015 shows, that there are several fewer associations in the set of data among x and y and between y values. This interaction also can range between -1 to 1, to 0 being completely unrelated. But you'd never be sure, in this situation, 0.015 is very similar to 0.

It means that your prediction is nothing better than just a wild choice. Its odds of an estimated value being relatively close to the actual result are therefore much smaller as the points are it's hardly the best match.

solve the following question

Answers

9514 1404 393

Answer:

π/3

Step-by-step explanation:

The given integral does not exist. We assume there is a typo in the upper limit, and that you want the integral whose upper limit is (√3)/2.

It is convenient to make the substitution ...

x = sin(y) . . . . so, y = arcsin(x)

dx = cos(y)·dy

Then the integral is ...

[tex]\displaystyle\int_0^{\sqrt{3}/2}{\dfrac{\cos{y}}{\sqrt{1-\sin^2{y}}}}\,dy=\int_0^{\sqrt{3}/2}{dy}=\left.\arcsin{x}\right|\limits_0^{\sqrt{3}/2}\\\\=\arcsin{(\sqrt{3}/2)}=\boxed{\dfrac{\pi}{3}}[/tex]

how to write exponents