A pet store has 9 dogs, 6 cats, 8 gerbils, and 7 parrots. A pet is chosen at random. What is the probability of choosing a cat or dog?

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In this scenario, the shape of the sampling distribution of X-bar is approximately normal.

The sampling distribution of the sample mean, X-bar, can be determined by the Central Limit Theorem. In this case, since the sample size is large (n = 64) and the underlying distribution (X) is approximately normal, the sampling distribution of X-bar will also be approximately normal. The Central Limit Theorem states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of X-bar tends to become more and more normal. Therefore, in this scenario, the shape of the sampling distribution of X-bar is approximately normal.

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Answer:

Option D.

Step-by-step explanation:

The given points are (-2,0), (0,1), (0,-4) and (3,0).

In each ordered pair first element is x-coordinate and second is y-coordinate.

For 4 points, the table must have 2 columns and 4 rows.

So, the required table of values is

x         y

-2        0

0       -4

0        1

3        0

Therefore, the correct option is D.

Answer:

the range is 18.5

Step-by-step explanation:

14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 22, 22, 22, 23, 24, 25, 26, 27.

Then take 1 off of the back and then take one from the front. (continue this until you find your answer)

If I am wrong feel free to yell at me and report me.

The inequality that describes how many movies Parv can buy is: n ≤ 10.025

Let's denote the number of movies Parv wants to buy as n. We are given that each movie costs $3.99. To determine the inequality that describes how many movies Parv can buy, we need to consider the amount of money he has remaining after purchasing the pack of games.

Parv starts with a $50 gift card and spends $9.99 on a pack of games. The remaining amount on the gift card is $50 - $9.99 = $40.01.

Now, let's consider the cost of n movies. Each movie costs $3.99, so the total cost of n movies would be n * $3.99.

Since Parv wants to buy the movies using the remaining amount on his gift card, we can set up the inequality:

n * $3.99 ≤ $40.01

This inequality states that the total cost of n movies, represented by n * $3.99, must be less than or equal to the remaining amount on the gift card, which is $40.01.

Simplifying the inequality further, we have:

3.99n ≤ 40.01

Now, if we want to solve for n, we can divide both sides of the inequality by 3.99:

n ≤ 40.01 / 3.99

Calculating this value, we have:

n ≤ 10.02506265664

Therefore, the inequality that describes how many movies Parv can buy is:

n ≤ 10.025

This means that Parv can buy a maximum of 10 movies, as he cannot purchase a fractional part of a movie.

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Answer:

2× + 9× -2 =146°

11×-2=146°

11×-2+2=146°+2

11×+0=148

11×=148°

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

y = x - 2

Step-by-step explanation:

The slope-intercept form is y = mx + b

-2/5x + 2/5y = -2

2/5y = 2/5x - 2

y = x - 2

Answer:

y=x-5

Step-by-step explanation:

-2/5x+2/5y=-2

+2/5x +2/5x

2/5y=2/5x-2

*5/2 *5/2

10/10y=10/10x-10/2

y=x-5

On solving the provided question, by substitution method we got that y=1.43 and x=o.65

To solve systems of linear equations, use the algebraic technique of substitution. The name of the technique implies that it involves substituting the values of variables from one equation into another.

x=cakes , y=donuts

3x+6y=$10.14 ------ eqt.1

4x+4y=$8.32 ------ eqt.2

solve eqt.1 for "y"

y=1.43

x=o.65

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The correct question is

Ellie and Mary went to the Stef bakery. Ellie bought 3 cakes and 6 filled donuts for ​$10.14. Mary bought 4 of each for ​$8.32. What is the price of each type The price of a  is The price

Step-by-step explanation:

Refer to attachment.

Hope it helps.

Since the sample is normally distributed we need to use the z score formula:

where x is the value we want, mu is the mean and sigma is the deviation.

Now, we need the the probability:

Answer: x = 6 and y = -9

Step-by-step explanation:

Solve by reduction method

7x + 2y = 24

8x + 2y = 30

We will multiply the first equation by 8, and the second equation by -7, then both equations must be added.

8(7x + 2y = 24)

-7(8x + 2y = 30)

Add these equations to eliminate x

  2y = -18

Then we solve 2y = -18 for y. (We divide by 2)

      2y/2 = -18/2

      y = -9

We place the found value of y , in one of the original equations y in order to solve for x.

7x + 2y = 24

7x + 2(-9) = 24

7x - 18 = 24

We add 18 to both sides.

  7x - 18 + (18) = 24 + (18)

       7x = 42

We add 18 to both sides.

 7x/7 = 42/7

  x = 6

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Answer:

can yall look at my post

Step-by-step explanation:

Answer:

2 apples will be left for Sally

If we fix x = 0 and z = 0 only y coordinate can change. So triple (0, y, 0) can only represent a point in y axis.

What do you mean by a plane?

In geometry, a plane is a surface made up of all the lines that are parallel to one another and connect any two locations on it. It is, in other words, a level or flat surface.

                          A plane is defined uniquely through any of the following in a Euclidean space of any number of dimensions: with the aid of three non-collinear points.

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be 0    y must be a real number

  and z must b 0

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be 0    y must be 0

  and z must be  a real number

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be real number     y must be 0

  and z must be  a real number

For the triple  (x,y,z ) to represent the point on the y - axis .

    x must be 0     y must be real number

  and z must be  a real number

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Answer:

A checking account is a type of bank deposit account that is designed for everyday money transactions. Savings accounts have higher interest rates than checking accounts meaning it is better to let large sums of money sit in savings instead of checking.

Step-by-step explanation:

Answer:

y = -1/2x - 11/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - (-5) / -3 - (-1)

1/ -2

= -1/2

y = -1/2x + b

-5 = -1/2(-1) + b

-5 = 1/2 + b

-11/2 = b

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

Answer: -1410

Step-by-step explanation:

Let's start by subbing in -4 for x

\(-4x^4 - 3x^3 - 29x^2 - 114\\-4(-4)^4-3(-4)^3-29(-4)^2-114\)

Now we can solve

\(-4(256)-3(-64)-29(16)-114\\-1024--192-464-114\\-832-464-114\\-1296-114\\-1410\)

Answer:

\(-1440\)

Step-by-step explanation:

------------------------------

Given:

\(-4x^4-3x^3-29x^2-114=\)

\(x=-4\)

--------------->>>>

Let's substitute \(-4\) for \(x\) and solve

\(-4(-4)^4-3(-4)^3-29(-4)^2-144=\)

Multiply the exponents

\(-4(256)-3(-64)-29(16)-144=\)

Multiply the parenthesis

\(-1024+192-464-144=\)

\(-832-464-144=\)

\(-1296-144=\)

\(=-1440\)

------------------------------

Hope this helps.

Answer:

see explanation

Step-by-step explanation:

786% = \(\frac{786}{100}\) = \(\frac{393}{50}\) = 7.86 ← as a decimal fraction

7.86 = 7 \(\frac{86}{100}\) = 7 \(\frac{43}{50}\) ← as a mixed number

We are evaluating a project that costs $786,000, has an eight-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 65,000 units per year. Price per unit is $48, variable cost per unit is $25, and fixed costs are $725,000 per year. The tax rate is 22 percent, and we require a return of 10 percent on this project

The tax rate for 10% is IRR = 78%.

The Initial evaluating cost is $786000 and the

Depreciation expense per year will be  = $786,000 / 8 = $98,250.

and the contribution margin per unit = $48 - $25 = $23

total units sold  Projected per year = 65,000

fixed costs  will be per year = $725,000

At Present the tax rate = 22%

Net cost fixed per year  = -$786,000

Net Cost Fixed year 1-8 = {[($23 x 65,000) - $98,250 - $725,000] x 0.78} + $98,250 = $622,215

Net Per Variable  = $2,533,471.10

Hence the answer is, The tax rate for 10% is IRR = 78%.

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Answer:

D) 111

Step-by-step explanation:

In order to find ∠KJH we must find the measure of arc KH

Note that ∠KJH is a central angle and arc KH is the arc it intercepts

Because ∠KJH is a central angle it equal the measure of its intercepted arc

Thus, ∠KJH = arc KH

J is a circle that is made up of 3 arc; KL, LH and KH

If you didn't know the sum of the arcs in a circle = 360°

Which means that arc KL + arc LH + arc KH = 360

If arc KL = 136 and arc LH = 113

Then 136 + 113 + arc KH = 360

                        ^ ( note that we just created an equation that we can use to

                            solve for arc KH )

We now solve for arc KH

136 + 113 + arc KH = 360

* combine like terms *

136 + 113 = 249

we now have 249 + arc KH = 360

* subtract 249 from each side *

249 - 249 cancels out

360 - 249 = 111

We're left with arc KH = 111°

Like stated previously arc KH = ∠KJH

Hence, ∠KJH = 111°

Answer:

4x +2y

Step-by-step explanation:

4x-3(x-2y)+ .5(6x-8y)

Distribute

4x -3x+6y +3x -4y

Combine like terms

4x-3x+3x  +6y-4y

4x +2y

Option B "The items have different rates of change, and item II is steeper" is the correct statement.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

The given items represent two different lines on a graph. Looking at the steepness of the lines, we can see that item II has a steeper slope than the item I.

Therefore, option B "The items have different rates of change, and item II is steeper" is the correct statement.

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Answer:

x = 6

Step-by-step explanation:

Line segment SU is a bisector of angle <TSV which means it divided the angle into two equal parts:

The measure of <TSV = 62 in this case the measure of <VSU = 62/2 = 31

we can write the following equation to find the value of x

5x + 1 = 31 subtract 1 from both sides

5x = 30 divide both sides by 5

x = 6

The kinetic energy change of the block is 4.05 J

Kinetic energy is energy due to motion of an object

Since two forces, of magnitudes F1 = 95.0 N and F2 = 50.0 N, act in opposite directions on a block, which sits atop a frictionless surface, as shown in the figure.

If Initially, the center of the block is at position xi = -3.00 cm. At some later time, the block has moved to the right, and its center is at a new position, xf = 6.00 cm.

To determine the change Kf−Ki in the kinetic energy of the block as it moves from xi = -3.00 cm to xf = 6.00 cm, we use the work-kinetic energy principle.

So, Fd = ΔK where

Given that

So, substituting the values of the variables into the equation, we have that

ΔK = Fd

= ( F₂ + F₁)(x₂ - x₁)

.= [95.0 N + (-50.0 N)](0.06 m - (-0.03 m)

=  [95.0 N - 50.0 N)](0.06 m + 0.03 m)

= 45.0 N × 0.09 m

= 4.05 Nm

= 4.05 J

So, the kinetic energy change is 4.05 J

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The determinant of the given matrix = 2455

To find the determinant of the given matrix using cofactor expansion, let's expand along the first row:

det([5 0 -4 4]

[5 11 5 -7]

[-1 0 6 5]

[7 5 0 3])

Expanding along the first row, we can use the cofactor expansion formula:

det(A) = a11 * C11 - a12 * C12 + a13 * C13 - a14 * C14

where aij represents the element at the ith row and jth column of the matrix, and Cij represents the cofactor of the element aij.

Calculating the cofactors for each element:

C11 = (-1)^(1+1) * det([11 5 -7][0 6 5][5 0 3])

= 1 * (11 * 6 * 3 + 5 * 5 * 0 + (-7) * 0 * 0 - 5 * 6 * 0 - (-7) * 5 * 3 - 0 * 0 * 5)

= 1 * (198 + 0 + 0 - 0 - (-105) - 0)

= 1 * (198 + 0 + 0 + 105 + 0)

= 1 * (303)

= 303

C12 = (-1)^(1+2) * det([5 5 -7][-1 6 5][7 0 3])

= -1 * (5 * 6 * 3 + (-7) * 0 * 7 + 5 * 5 * 3 - 7 * 6 * 5 - 5 * 0 * 3 - 5 * (-7) * 0)

= -1 * (90 + 0 + 75 - 210 - 0 - 0)

= -1 * (-75)

= 75

C13 = (-1)^(1+3) * det([5 11 -7][-1 0 5][7 5 3])

= 1 * (5 * 0 * 3 + (-7) * 5 * 7 + 11 * 5 * 3 - (-7) * 0 * 11 - 11 * 5 * 0 - 5 * (-7) * 3)

= 1 * (0 + (-245) + 165 - 0 - 0 - (-105))

= 1 * (-245 + 165 + 105)

= 1 * 25

= 25

C14 = (-1)^(1+4) * det([5 11 5][-1 0 6][7 5 0])

= -1 * (5 * 0 * 0 + 5 * 6 * 7 + 11 * 7 * 0 - 11 * 0 * 7 - 7 * 6 * 0 - 5 * 5 * 0)

= -1 * (0 + 210 + 0 - 0 - 0 - 0)

= -1 * (210)

= -210

Now, we can calculate the determinant using the cofactor expansion formula:

det(A) = a11 * C11 - a12 * C12 + a13 * C13 - a14 * C14

det(A) = 5 * 303 - 0 * 75 - (-4) * 25 - 4 * (-210) = 2455

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Answer:

\(f(x)=\sqrt[3]{x+5}-2\)

Step-by-step explanation:

The parent cube root function is \(f(x)=\sqrt[3]{x}\).

It is symmetric about the origin (0, 0).

From inspection of the given graph, the graphed function is symmetric about point (-5, -2). Therefore, the parent function has been translated 5 units left and 2 units down.

When translating a function "a" units to the left, add "a" to the x-value.

When translating a function "a" units down, subtract "a" from the function.

Therefore, the equation of the graphed function is:

\(f(x)=\sqrt[3]{x+5}-2\)

True. Marginal cost refers to the additional cost incurred by producing one more unit of output.

Since the production of one more unit requires the use of additional variable factors of production (such as labor or raw materials), marginal cost always reflects the cost of those variable factors. Fixed costs, on the other hand, do not change with changes in output and are not included in marginal cost calculations. Therefore, marginal cost only reflects the change in cost associated with variable factors of production.

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