Reema wants to build a coat rack for the front hallway. The wall is 4 feet long, and the piece of wood she has for the the rack is 28 1/4 inches long. She wants to center the coat rack on the wall. There needs to be an equal amount of space, about 7 or 8 inches, between coat hooks. The first and last hooks should be no less than 1 3/4 inches from either end of the wood. How many hooks should Reema use? What is the distance between the hooks? What is the distance of each hook from the left edge of the wood?

The correlation coefficient for the data is given as follows:

r = 0.53.

Hence there is an association between the variables that is positive and not strong.

The correlation coefficient is an index between -1 and 1 that measures the relationship between two variables, as follows:

The correlation coefficient is obtained inserting the points of a data-set into a correlation coefficient calculator.

From the table given at the end of the answer, the points are given as follows:

(43, 99), (21,65), (25, 79), (42, 75), (57, 87), (59, 81).

Inserting these points into a calculator, the equation is given as follows:

r = 0.53.

Meaning that the relationship between the variables is positive and not strong.

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The organized list has the following outcomes:

H1                 T1        

H2                T2

H3                T3

H4                T4

H5                T5

H6                T6

A permutation is an orderly arrangement of things or numbers. Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.

Given:

Two events take place.

Let event A be flipping a coin

Let event B be rolling a 6-sided die.

Now, a coin has two faces; one is the head and the other is the tail.

So, the possible outcomes of event A are: {H, T}

H → Head, T → Tail.

Now, a six-sided die has six faces each marked with a number. The numbers marked ranges from 1 to 6.

So, the possible outcomes of event B are {1, 2, 3, 4, 5, 6}

Now, each element of set A should match all the elements of set B.

Now, the tabular form should have a row of outcomes of B and a column of outcomes of event A. Thus,

Outcomes          1          2       3        4         5          6  

   H                 H1         H2     H3     H4       H5      H6

   T                 T1         T2     T3        T4      T5         T6

Therefore, the organized list has the following outcomes:

H1                 T1        

H2                T2

H3                T3

H4                T4

H5                T5

H6                T6

Finally, the correct tree diagram is attached below.

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Complete question:

Answer:

There are two types of hypotheses tests. null and alternative

They are complements.

Step-by-step explanation:

There are two types of hypotheses tests. null and alternative

the table shows the summary of both tests.

True Situation                              DECISION

                                  Accept H0             Reject H0

                                                               (or accept Ha)

H0 is true          Correct decision       Wrong Decision

                            (no error)                     type I error          

H0 is false          Wrong Decision           Correct decision

                             type II error                 ( no error)    

The probability of making a type I error is conventionally denoted by alpha and that of committing a type II error is indicated by beta.

∝ = P ( type I error) = P (reject H0 / H0 is true)

β = P (type II error) = P (accept H0 / H0 is false)

When ∝ becomes larger, β tends to become smaller . There is inverse relationship between ∝ and β.

When H0 is true Ha is false when Ha is false H0 is true. So they are compliments of each other.

It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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=>(c)^2=(a)^2+(b)^2

=>(c)^2=(56)^2+(33)^2

=>(c)^2=3136+1089

=>(c)^2=4225

=>c=√4225

=>c=65 metre

The scatter plot shows a [positive linear] association.

From the question, we have the following parameters that can be used in our computation:

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values increases

This represents a positive linear association.

Hence, the association is a positive linear association.

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The number of fish in the bucket before Jasper feeds the dolphins was 12.

Since Jasper won the raffle at the zoo and gets to feed the dolphins, and the dolphin trainer gives Jasper a bucket of fish to divide evenly among 4 dolphins, and each dolphin gets 3 fish, to find the number of fish F in the bucket Before Jasper feeds the dolphins, the following equation must be performed:

Therefore, the number of fish in the bucket before Jasper feeds the dolphins was 12.

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Answer:

x-4

Step-by-step explanation:

because a number could be x and all you have to do is subtract 4 from a number making it x-4

Answer:

4-x

Step-by-step explanation:

Because it says that x is subtracted from 4 which would make it understood that 4 is the first term and then x.

The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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Answer: 2

4 – (6-4) = 2

Answer: 2- (y= 6 , z=2)

Step-by-step explanation:

If z = 4 and y = 6, then we can substitute these values into the expression:

z - (y - z) = 4 - (6 - 4)

Expanding the subtraction in the parentheses, we get:

z - (y - z) = 4 - (6 - 4) = 4 - (2) = 4 - 2

Finally, solving for the subtraction:

z - (y - z) = 4 - 2 = 2

So, the value of the expression z - (y - z) when z = 4 and y = 6 is 2.

Answer: The elimination method is a method for solving a system of equations by eliminating one of the variables. One way to do this is to multiply one equation by a constant and then add or subtract it from the other equation to cancel out one of the variables.

We will start by multiplying the first equation by 3:

2x + 6y = 2 ----> 6x + 18y = 6

Now we will subtract the second equation from the modified first equation:

6x + 18y = 6

(2x + 2y = 2)

4x + 16y = 4

Now we can solve for one of the variables, we will solve for x:

4x = 4

x = 1

Now that we know x = 1, we can substitute this back into one of the original equations, for example the first one:

2x + 6y = 2

2(1) + 6y = 2

6y = 0

y = 0

So the solution to the system of equations is x = 1 and y = 0

Therefore, the solution is (1,0)

Step-by-step explanation:

Answer: m=25

Step-by-step explanation: 49 - 24= 25

The net electric force that the two charges would exert on an electron placed at a point on the x-axis at x = 0.200 m is -2.40

Let's start by finding the distance between the electron and each point charge. The distance between the electron and the positive charge at the origin is:

r₁ = 0.200 m

The distance between the electron and the negative charge at x = 0.800 m is:

r₂ = 0.800 m - 0.200 m = 0.600 m

Now we can use Coulomb's law to find the magnitude of the electric force between each point charge and the electron. The force exerted by the positive charge is:

F₁ = k * q₁ * qe / r₁²

where qe is the charge of the electron, which is -1.60 x 10⁻¹⁹ C (negative because it is an electron). Plugging in the values, we get:

F₁ = (9.0 x 10⁹ N*m²/C²) * (4.00 x 10⁻⁹ C) * (-1.60 x 10⁻¹⁹ C) / (0.200 m)

F₁ = -1.44 x 10⁻¹⁴ N

The negative sign indicates that the force is attractive, since the electron is negative and the point charge is positive.

Similarly, the force exerted by the negative charge is:

F₂ = k x q₂ x qe / r₂²

Plugging in the values, we get:

F₂ = (9.0 x 10⁹ N*m²/C²) * (-6.00 x 10⁻⁹ C) * (-1.60 x 10⁻¹⁹ C) / (0.600 m)²

F₂ = 1.20 x 10⁻¹⁴ N

The positive sign indicates that the force is repulsive, since the electron is negative and the point charge is also negative.

Now we can find the net electric force on the electron by adding the two forces together:

Fnet = F1 + F2

Fnet = (-1.44 x 10⁻¹⁴ N) + (1.20 x 10⁻¹⁴ N)

Fnet = -2.40

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Complete Question:

A 4.00 n C point charge is at the origin, and a second − 6.00 n C point charge is on the x-axis at x = 0.800 m.

Find the net electric force that the two charges would exert on an electron placed at a point on the x-axis at x = 0.200 m.

Answer:

Explanation:

Given the equation

Step 1: Change all the mixed fraction to improper fractions

Step 2: Find the lowest common multiple of the denominators (2 and 10)

The lowest common multiple = 10

Step 3: Multiply all through by 10.

Step 4: Apply the subtraction law of equality. (Subtract 55)

Step 5: Apply the division law of equality. (Divide by 13)

f(x) = (x+8)(x-2)(x+1)

all the best.

Part a; compounded semiannually (n = 2); CI =  $6,390.

Part b: compounded quarterly ( n = 4) ; CI =  $6,425

Part c: compounded monthly (n = 12): CI =  $6,450

Part d: compounded continuously; CI =  $6,467.

The compound interest is calumniated by formula.

A = P(1 + r/100n)∧nt

In which,

A  = amount after compounding

P = principal amount  ($20,000 )

n = number of time principal amount compounded in a year.

t = total time in years (7 years)

r= rate of interest (4%)

Part a; compounded semiannually (n = 2)

A = P(1 + r/100n)∧nt

A = 20,000(1 + 4/200)∧(2x7)

A = 26390

CI = A - P

CI =  26,390 -  20,000

CI =  $6,390.

Part b: compounded quarterly ( n = 4)

A = 20,000(1 + 4/400)∧(4x7)

A = 26425

CI = A - P

CI =  26,425 -  20,000

CI =  $6,425

Part c: compounded monthly (n = 12)

A = 20,000(1 + 4/1200)∧(12x7)

A = 26450

CI = A - P

CI =  26,450-  20,000

CI =  $6,450

Part d: compounded continuously.

P = P₀e∧rt

P = (20,000)(2.72)∧(0.04 x 7)

P = 20,000 x 1.32

P = 26,467

CI =  26,467 - 20, 000

CI =  $6,467.

Thus, the for compounded continuously is $6,467.

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Answer:

x= 5.25

Step-by-step explanation:

You have to get x alone, so do inverse operations.

(Basically, reverse what it is)

4(x-3)=9

divide 4 by both sides to get rid of 4 on left side

9/4 = 2.25

(x-3) = 2.25

Now add 3 to both sides, to get x alone

2.25 + 3 = 5.25

x=5.25

Check work

4(5.25-3) = 9

4(2.25) = 9

9=9

Answer:

-50x + 40

Step-by-step explanation:

10(-5x+4)

-50x + 40

Step-by-step explanation:

To eliminate x in the system of equations:

1. Multiply Equation 1 by 9 and multiply Equation 2 by -4, this gives:

Equation 1: 36x -54y = 90

Equation 2: -36x - 8y = -28

2. Add the two equations together to eliminate x:

(36x - 54y) + (-36x - 8y) = 90 - 28

Simplifying, we get:

-62y = 62

3. Solve for y:

y = -1

4. Substitute y = -1 into one of the original equations, say Equation 1:

4x - 6(-1) = 10

Simplifying, we get:

4x + 6 = 10

5. Solve for x:

4x = 4

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -1. We can check that these values are correct by substituting them back into the original equations and verifying that they satisfy both equations.

Answer:

1:  3.14

2: Pythagoras (569-475 BC)

3: cant help you m8

4: mathematics

5: cant help you m8

6: endless

7: leafs, holes, trunk of a tree

8: cant help you m8

9: dots in boxes

10: King can move exactly one square horizontally, vertically, or diagonally. At most once in every game, each king is allowed to make a special move, known as castling.  can only jump when castling. Queen can move any number of vacant squares diagonally, horizontally, or vertically.  but cant jump over pieces. Rook can move any number of vacant squares vertically or horizontally. It also is moved while castling.  only jumps when castling. Bishop can move any number of vacant squares in any diagonal direction.  cant jump. Knight can move one square along any rank or file and then at an angle. The knight´s movement can also be viewed as an “L” or “7″ laid out at any horizontal or vertical angle.  can always jump. Pawns can move forward one square cant jump

11: cant help you m8

12: billiards

13: hard work (requires glass and any metel/plastic)

14: Pigments

15: cant help you m8

16: cant help you m8

Step-by-step explanation:

sry if i got one wrong and sry for the missing ones i either did not know them or could not find them

Answer:

Independent variable (x in 2D cartesian) = t (time)

Dependent variable (y in 2D cartesian) = p (battery power)

The independent variable is time.

The dependent variable is battery power.

Time is independent because it cannot be controlled.

Battery power is dependent because it can be controlled.

Since t is in hours,

The battery power begins at 100% and decreases 5% each hour.

Answer:

\(y = {3}^{2} + 2 = 9 + 2 = 11\)

Answer:

b, c , a

Step-by-step explanation:

I am guessing

Answer:

B, C, D

Step-by-step explanation:

Answer:

the top right and bottom right

Step-by-step explanation:

the macadamia nuts cost the most, meaning there doesn't have to be as much as the peanuts to get a high price. And the peanuts are cheaper than the macadamia nuts and the blueberries, meaning that there has to be more of them causing more weight.

Answer: The 2nd one and the 4th one on the right side.

Using proportions, it is found that the difference in the total costs of the 12 pairs of shoes between the two stores is of $46.77.

A proportion is a fraction of a total amount.

At Super Sports, each pair of shoes costs $72.50, with a discount of 20%(multiplication by 0.8) and a sales tax of 6.5%(multiplication by 1.065). Hence, the total cost of the 12 pairs is given by:

Cs = 12 x 72.50 x 0.8 x 1.065 = $741.24.

At Double Dribble, each shoe costs $54.75, plus a 9% processing free(multiplication by 1.09), plus a shipping fee of $5.99 for each pair, hence the total cost is given by:

Cd = 12 x (1.09 x 54.75 + 5.99) = $788.01.

The difference is given by:

$788.01 - $741.24 = $46.77.

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The number of coupon codes that can be generated is given as follows:

247,808 coupon codes.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The codes are composed as follows:

Thus the total number of codes is obtained as follows:

N = 22² x 8³

N = 247,808 coupon codes.

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Answer:

C: EAF Is the correct answer