On a bookshelf, there are 8 fiction and 7 nonfiction books. Paul randomly selects one, puts it back, and then randomly selects another. What is the probability that both selections were fiction books?

Answers

Answer 1

Answer:

28%

Step-by-step explanation:


Related Questions

please help i dont understand this

Answers

Answer:

Equation is 7x^2 – 5x + 2

comparing with a,b and c

a = 7

b= –5

c = 2

what is the value of z? (multiple choice)

Answers

the answer would be 5.6

A garage charges $55 per tire and $30 dollars per hour of labor. If you need two tries and it takes half an hour to install how much do you pay?

Answers

55x2= 110 + 30 if it took 1 hour= 140

Answer:

$140

Step-by-step explanation:

First, we multiply the amount of tires by the price of the tire. $55 * 2 = $110.

Second, we multiply the amount of hours by the price of an hour of labor. They take half an hour, so we multiply $30 by 1/2.

1/2 * $30 = $15.

Finally, we add the cost of the tires and the labor together.

$110 + $15 = $125

Hope this helps!

Please help ASAP!


Solve the inequities:


k^2-7k+12. 25>0


2. 25y^2-3y+1<0

Answers

It is not possible to mix ‘greater than’ and ‘less than’ inequality signs in the same expression

Solve the inequities:

k^2-7k+12. 25>0

2. 25y^2-3y+1<0

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

It is not possible to mix ‘greater than’ and ‘less than’ inequality signs in the same expression

So Whenever you find two conclusions which are false Just check for these two symbols . In Most of the case where two conclusions are false and these two signs are not there respectively than that statement, you can call it as Neither Nor.

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a) Complete the prime factor trees for 24 and 40:
24
2
2
6
2
40
2
2
3
b) What is the Lowest Common Multiple of 24 and 40?
2
2
1
5
Submit Answer

Answers

Answer:

a)

24 = 2³ × 3

40 = 2³ × 5

b)

LCM = 120

Step-by-step explanation:

a)

                 24                                      40

              /       \                                  /      \

            2         12                           2         20

                      /     \                                   /      \

                    2       6                               2      10

                           /     \                                     /    \

                        2         3                               2       5

24 = 2³ × 3

40 = 2³ × 5

b)

LCM = 2³ × 3 × 5

LCM = 120

A teacher wants to select one student at random from a group of 6. Which selection methods are fair? Select all that apply.
A. Roll a standard number cube.
B. Use a calculator to generate a random decimal between 1 and 6 and use the integer part.
C. Write the numbers 1 through 6 on slips of paper. Select one slip at random.
D. Select the student who is sitting nearest her.

Answers

Answer:

C. Write the numbers 1 through 6 on slips of paper. Select one slip at random.

Step-by-step explanation:

beacuse everyone will pick up a random number :3

Answer:

use a calculator to generate a random decimal between 1 and 6 and use the integer part.

Why do 3 points make a plane?

Answers

In mathematics, a plane is a two-dimensional surface that can be enlarged indefinitely. In order to make a plane we need at least 3 points.

Why do 3 points make a plane?

In order to make a plane we need at least 3 points. Let A, B and C are three points which can be defined by two particular vector AB and AC.

As the two vectors is located on the plane, we can use their cross product to define a normal vector on the plane.

As we see a triangle which is a two-dimensional geometric figure that is developed based on 3 points. Triangle is the smallest polygon. The other polygon needs more point for creation.

Therefore, it is proved that minimum three points is mandatory for plane formation.

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Is 2x 3 5 is a linear equation?

Answers

yes, 2x + 3 = 5 is a linear equation.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." If a linear equation contains two variables, it is referred to as a linear equation in two variables, and so on.

Non-linear equations are those that do not produce a straight line. It has a changeable slope value and resembles a graphed curve.

Given that,

2x + 3 = 5

or, 2x = 5 - 3

or, 2x = 2

or, x = 2/2

x = 1

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Need help! Due very soon

Answers

The answer is: y = 3x + -5

help if you want brianleist!! :) uhm don't mind update- NO LINkS- Thank you to those who help! :)

Answers

Answer:

5 yds

Step-by-step explanation:

Answer:

10 because 11*5*10=550

Step-by-step explanation:

mrk me brainliest plzzzzzz

A grocer makes a display of cans in which the top row has one can and each lower row has two more cans than the row above it. If the display contains $100$ cans, how many rows does it contain

Answers

A grocer makes a display of cans in which there are 10 rows.

The top row has one can and each lower row has two more cans than the row above it.

We can write it as sequence:

1, 3, 5, 7, . . .

We can observe that it's an arithmetic sequence: 1, 3, 5, 7, . . . , 2n-1

We know that the formula for the sum of n-terms of arithmetic sequence:

S(n) = (n/2)(1 + 2n-1)

Here, Sn = 100

So, (n/2)[1 + 2n-1] = 100

n(1 + 2n + 1)

n(2n) = 200

2n^2 = 200

n^2 = 100

n = 10

Hence, the number of rows = 10

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Write an expression for the calculation double the product of 5 and 9.

Answers

Answer:

2 (5×9)

Step-by-step explanation:

the product of 5 and 9 is DOUBLED. so the calculation will be 2 times 5×9

what's 1/2r+3<6 two step inequalities

Answers

Answer:

r < 6

Step-by-step explanation:

[tex] \implies \dfrac{1}{2}r + 3 < 6[/tex]

[tex] \implies \dfrac{r}{2} < 6 - 3[/tex]

[tex] \implies \dfrac{r}{2} < 3[/tex]

[tex] \implies r < 3 \: \cdot \: 2[/tex]

[tex] \implies \underline{ r < 6}[/tex]

Find the length of the third side. If necessary, round to the nearest tenth

Answers

Answer: 26

Step-by-step explanation:

In the picture, we are given a right triangle. Based on that, we can use the Pythagorean Theorem, which helps us find the missing side length with the formula [tex]a^2+b^2=c^2[/tex].

a and b represent the legs, and c is the hypotenuse. The hypotenuse is the longest side of the right triangle. It is also the side that is diagonal from the right angle.

In the picture, we are presented with the legs. So, we can plug in the legs into a and b to solve for c.

[tex]a^2+b^2=c^2[/tex]               [plug in a and b]

[tex]10^2+24^2=c^2[/tex]            [exponent]

[tex]100+576=c^2[/tex]            [add]

[tex]676=c^2[/tex]                      [square root both sides]

[tex]c=26[/tex]

This tells us that the length of the third side is 26.

identify the initial amount a and the growth factor b in the exponential function: f(X) = 610 • 7.54

Answers

The initial amount is 610 and the growth factor is 7.54.

What is an exponential function?

An exponential function has the form f(x) = a*b^x, where a is the initial amount, also called the y-intercept, and b is the growth factor.

In the function f(X) = 610 • 7.54, the initial amount is a = 610, and the growth factor is b = 7.54.

Hence, the initial amount is 610 and the growth factor is 7.54.

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The initial amount is 610 and the growth factor is 7.54.

What is an exponential function?

An exponential function has the form f(x) = a*b^x, where a is the initial amount, also called the y-intercept, and b is the growth factor.

What is growth factor?

A growth factor is a naturally occurring substance that stimulates a cell to grow, divide, and differentiate. Growth factors are typically proteins or peptides that bind to specific receptors on the surface of cells, triggering signaling pathways that lead to cell proliferation and survival.

In the function f(X) = 610 • 7.54, the initial amount is a = 610, and the growth factor is b = 7.54.

Hence, the initial amount is 610 and the growth factor is 7.54.

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In ΔNOP, n = 89 cm, p = 36 cm and ∠P=147°. Find all possible values of ∠N, to the nearest 10th of a degree.

Answers

Answer: No Possible Triangles

Step-by-step explanation: DeltaMath

Just hit the enter button, don’t type anything in the box or else it will mark it wrong.

Using traditional methods it takes 8.5 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 21 students and observed that they had a mean of 8.8 hours with a variance of 1.21 . Is there evidence at the 0.05 level that the technique performs differently than the traditional method? Assume the population distribution is approximately normal. Step 1 of 5 : State the null and alternative hypotheses

Answers

As the p-value of the test is of 0.215 > 0.05, there is not enough evidence at the 0.05 level that the technique performs differently than the traditional method.

What are the null and the alternative hypothesis?

At the null hypothesis, it is tested if there is no evidence of different performance, that is, the mean is of 8.5 hours, hence:

[tex]H_0: \mu = 8.5[/tex]

At the alternative hypothesis, it is tested if there is evidence of different performance, with a mean different of 8.5 hours, hence:

[tex]H_1: \mu \neq 8.5[/tex]

What is the test statistic?

The population standard deviation is known, hence the z-distribution is used to obtain the test statistic.

The equation is given as follows:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.

The parameters for this problem are given as follows:

[tex]\overline{x} = 8.8, \mu = 8.5, \sigma = \sqrt{1.21} = 1.1, n = 21[/tex]

Hence the test statistic is calculated as follows:

[tex]z = \frac{8.8 - 8.5}{\frac{1.1}{\sqrt{21}}}[/tex]

z = (8.8 - 8.5)/(1.11/square root of 21)

z = 1.24.

What is the p-value and conclusion?

The p-value is obtained using a z-distribution calculator.

We have a two-tailed test, as we are testing if the mean is different of a value, with a test statistic of z = 1.24, hence the p-value is of:

0.215.

(2 multiplied by the subtraction of one and the p-value of z = 1.24).

The p-value is greater than the significance level of 0.05, meaning that there is not enough evidence to reject the null hypothesis and conclude that there is a difference between the two methods.

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Please help brainly!

Answers

Least value = 56
Q1 = 73
median = 82
Q3 = 86
greatest value = 95
IQR = 13
Range = 39

(Help me please)


Lin and Noah are packing small cubes into a cube with an edge length of 1½ inches. Lin is using cubes with an edge length of ½ inch, and Noah is using cubes with an edge length of ¼ inch. Who would need more cubes to fill the 1 1/2 inch cube? Show how you know

Answers

Noah needs 108 cubes which is 4 times more than Lin's 27 cubes.

Noah would need more cubes to fill the 1 1/2 inch cube because the cubes he is using have a smaller edge length than the cubes Lin is using. The larger the edge length of the cubes being used, the fewer number of cubes needed to fill a given space.

To see this, you can calculate the volume of the cube being filled by both Lin and Noah. The cube that Lin is filling has a volume of (1.5)^3 = 3.375 cubic inches. The cubes Lin is using have a volume of (0.5)^3 = 0.125 cubic inches. So, Lin needs 3.375/0.125 = 27 cubes to fill the 1.5 inch cube.

The cube that Noah is filling also has a volume of (1.5)^3 = 3.375 cubic inches. The cubes Noah is using have a volume of (0.25)^3 = 0.03125 cubic inches. So, Noah needs 3.375/0.03125 = 108 cubes to fill the 1.5 inch cube.

As we can see, Noah needs 108 cubes which is 4 times more than Lin's 27 cubes.

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yep again.....not du.mb just lazy...

Answers

Answer:

nah frl

Step-by-step explanation:

An object is moving at a speed of 11 yards every 6 months. Express this speed in centimeters per hour.

Answers

Speed of the given object in centimeters per hour

= 0.23 cm / hour

What is unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Like 1 yard = 91.44 cm

1 month = 730 hrs.

Distance covered by the object = 11 yards

Distance covered in cm = 11 × 91.44 = 1005.84 cm

Time taken to cover 11 yards = 6 months

Time taken in hours = 6 × 730 = 4380 hrs.

Speed of the object = distance covered by the object / Time taken

Speed of the object = 1005.84/4380 = 0.2296 ≈ 0.23 cm per hour

Hence,  in centimeters per hour,

the speed of the object is 0.23 cm / hour.

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Which expression can be written as
[tex]k \sqrt{3} [/tex]where k is an integer?

a.
[tex] \sqrt{63} [/tex]

b.
[tex] \sqrt{108} [/tex]

c.
[tex] \sqrt{144} [/tex]

d.
[tex] \sqrt{150} [/tex]

Answers

Answer:

B. [tex] \sqrt{108} [/tex]

Step-by-step explanation:

The simplified forms of these roots are :

A. [tex] \sqrt{63} [/tex] = [tex]3 \sqrt{7} [/tex]

B. [tex] \sqrt{108} [/tex] = [tex]6 \sqrt{3} [/tex]

C. [tex] \sqrt{144} [/tex] = [tex]3 \sqrt{286} [/tex]

D. [tex] \sqrt{150} [/tex] = [tex]5 \sqrt{6} [/tex]

Check:

[tex] \sqrt{108} [/tex]

[tex] \sqrt{36(3)} [/tex]

[tex] \sqrt{ {6}^{2} \times 3} [/tex]

[tex]6 \sqrt{3} [/tex]

Hope it is helpful...


Claire buys a new car for £5700.
She pays a deposit of 12%
She then pays the rest of the cost in 15 equal monthly payments.
How much is each monthly payment

Answers

Answer:

$334.40

Step-by-step explanation:

Find how much she has left to pay after the deposit:

Multiply 5700 by 0.88

5700(0.88)

= 5016

Divide this by 15 to find how much each monthly payment is:

5016/15

= 334.4

So, each monthly payment is $334.40

Pepito bought 2 t-shirt at 149.95 each and a pair of pants for php 30.75, if her money was a 200 pesos bill. How much was her change?

Answers

If pesos had it would be so pesos have 169.25 dollars left 200-30.75=169.25


The length of some material is 8.3m correct to 2 significant figures. Write the error int
length, x, of the material.

Answers

Therefore , the solution of the given problem of equation comes out to be  the error range for x is [1250, 1350].

Explain the equation.

A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The equal sign is a crucial part of mathematical formulas, especially equations. Algebra is frequently utilized in equations. Algebra is used in mathematics when it is difficult to determine a precise quantity.

Here,

Given: Some material has a length of 8.3 meters

We have provided a number, x, that has been rounded to two significant numbers with the supplied error.

Next, we must determine the x error interval.

​It is necessary for x to have a value that is both bigger than or equal to 1250 and less than or equal to 1300.

i.e.,1250 ≤ x ≤ 1300 ---(1)

2. The value of x is more than 1300 but not equal to 1350.

1300  ≤ x ≤ 1350--- (2)

When (1) and (2) are combined, we obtain

1250≤ x ≤ 1350

As a result, 1350 is not part of the error-interval for x.

As a result, the interval notation is [1250, 1350].

As a result, the error range for x is [1250, 1350].

Therefore , the solution of the given problem of equation comes out to be  the error range for x is [1250, 1350].

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Given that AB is a line segment and the angle
y
= 33°, work out the value of the angle marked
x
.

Answers

180-33

=147

so X= 147

FROM CAMBRIDGE UNIVERSITY!

7O POINTS HELP ASAP!!!
Given the graph of this function, determine the statement that best describes the end behavior.

Answers

x->∞,y->∞ and as x-> - ∞ , y-> - ∞ this statement  best describes the end behavior.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

First, we need to analyze the plotting of the graph. When it is on the negative axis of x, as the values of x increase (x values increasing in the negative axis means it's decreasing in value), the y values also increase. So as x decreases, y increases.

On the positive axis of x, as the x values increase, the corresponding values of y also increase with x. So as x increases, y values also increase with it.

Hence, x->∞,y->∞ and as x-> - ∞ , y-> - ∞ this  statement  best describes the end behavior.

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determine whether 3y - 7 = 2x -7 represents direct variation or not. If it does, find the
constant of variation.

Answers

Answer:

Yes, it represents direct variation.

The constant of variation is 2/3.

Step-by-step explanation:

Rearrange the equation to put it into y = kx form, which is the direct variation equation

3y - 7 = 2x - 7

Add 7 to both sides:

3y - 7 = 2x - 7

3y = 2x

Divide each side by 3:

y = 2/3x

So, the equation is y = 2/3x, which represents direct variation because it is in the form y = kx.

In y = kx, k is the constant of variation. Since the equation is y = 2/3x, k = 2/3.

So, the constant of variation is 2/3.

a circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle

3pi inches

2pi inches

pi inches

6pi inches

Answers

Answer:

Option B. 2π inches

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 6 in

Centre angle (θ) = 60 °

Length of arc (L) =?

The length of arc can be obtained as follow:

L = 2πr × (θ/360°)

L = 2 × 6 × π × (60/360)

L = 12π × 1/6

L = 2π in

Thus, the length of the arc is 2π in.

SEVENTH GRADE ALGEBRA PLS HELP


A group of 5 friends each have x action figures in their collections. Each
friend buys 8 more action figures. Now the 5 friends have a total of 150
action figures.
Write an equation that can be used to find x, the number of action
figures per person.

Answers

Answer:

x = 22 (each friend started with 22 action figures)

Step-by-step explanation:

After buying 8 more action figures, each friend has x + 8 action figures. Because there are 5 friends, the new total number of action figures is 5(x + 8), which we are told is equal to 150. Dividing both sides of this equation by 5 yields x + 8 = 30, and subtracting 8 from both sides yields x = 22.

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Notch is a receptor protein displayed on the surface of certain cells in developing fruit fly embryos. Notchs ligand is a membrane-bound protein called Delta that is displayed on the surface of adjacent cells. When Notch is activated by its ligand, the intracellular tail of the Notch protein becomes separated from the rest of the protein. This allows the intracellular tail to move to the cells nucleus and alter the expression of specific genes.Which of the following statements best explains Deltas role in regulating cell communication through the Notch signaling pathway?A. Delta transmits a chemical signal to all the cells of a developing embryo.B. Delta allows the cells of a developing embryo to communicate without making direct contact.C. Delta restricts cell communication to short distances within a developing embryo.D. Delta determines which cells in a developing embryo express the gene that encodes the Notch protein. A $2.00 tax levied on the sellers of birdhouses will shift the supply curve a. downward by less than $2.00.b. downward by exactly $2.00. c. upward by exactly $2.00. d. upward by less than $2.00. Use the diagram to solve 3 1/6 Ned the Neuron is a pretty busy guy. His job is to fire anytime he sees a vertical line in his visual field. Ned's specialty is ____. Rick claims that the equation2 + 5x + 9 = 0 has no solution. Jenny claims that there are two solutions. Explain how Rick could be correct, and explain how Jenny could be correct. Quantity (in lbs.) Value (per lb.) TotalButterscotch x 2.15 2.15xPeppermint y 2.35 2.35yMixture 10 2.20 22Using the table, match the items in the following lists.1 . xpounds of butterscotch candy2 . $2.35pounds of peppermint candy3 . yprice per pound of butterscotch4 . $2.15price per pound of mixture5 . $22.00cost for ten pounds of mixture6 . $2.20price per pound of peppermints Find thesis statement about FAMILY, FRIENDS, aND FIRST LOVE in your own words from book" Love from A-Z" X12.3455121283282.g(x)1816141210h(x)65331795Complete each of the 2 activities for this Task.Activity 1 of 2Part A: Which of the functions represents an exponential function? Explain.Activity 2 of 2Part B: Whats is the average rate of change for the function h(x) over interval 2 What is difference between from and by? If -er is a suffix that means more, which of the following words uses the suffix -er the same as it does in the word smarter? Choose all that apply. MotherLowerYoungerSingerFeatherMore Simplify.3(x+4)- x divided by 6 is what In DEF, f = 5 cm, mE=79 and mF=75. Find the length of d, to the nearest 10th of a centimeter. The War of 1812 was.. The last Roman emperor to order mass executions of Christians was --A. Constantine IB. NeroC. DiocletianD. CaligulaThe Romans sentenced Jesus to die by --A. crucifixionB. poisonC. hangingD. sword Complete each sentence with the correct form of the adjective in parentheses.(1 point per question)31. El pescado y el pollo son(delicioso)32. Los tacos son(sabroso).33. La mantequilla es(malo) para la salud.34. Alonso es muy(divertido).35. Las papas fritas son(bueno).36. La clase de ingls no es(fcil).37. Nosotros somos(inteligente).38. Jos y Mara son(popular). what is the grammatical name given to this expression 'that he would agree to run the state' Draw a box and whisker plot of the following data 40,37,29,36,41,39,33 50+100x=300+75x can someone solve this ? A worker should ______ any time the worker notices a minor quality problem that is not critical to product function or performance