4. You are packing clothes for vacation and don't want to take any t-shirts. You randomly choose 3 shirts from a drawer containing 4 t-shirts, 3 polo shirts, and 3 button-downs.

a. What is the probability that the first 3 shirts are t-shirts when you replace each shirt before choosing the next one?

b. What is the probability that the first 3 shirts are t-shirts when you do not replace each shirt before choosing the next one?

*I know this is a lot, but it would really help me out if someone could help me out, I don't know how to describe it, but thanks.*​

i think you just have to do 3 + 14+2+2+3and then solve i guess

To solve this problem, we just have to substitute the values into the exponential equations and solve.

In the given exponential equation, we simply need to plug in the values of x from 0 to 5

[tex]y = 4(3)^x[/tex]

when x = 0

[tex]y = 4(3)^x\\y = 4(3)^0\\y = 4[/tex]

when x = 1

[tex]y = 4(3)^x\\y = 4(3)^1\\y = 12\\[/tex]

when x = 2

[tex]y = 4(3)^2\\y = 36[/tex]

when x = 3

[tex]y = 4(3)^3\\y = 108[/tex]

when x = 4

[tex]y = 4(3)^4\\y = 324[/tex]

when x = 5

[tex]y = 4(3)^5\\y = 972[/tex]

From the calculations above, the value of y when x is from 0 to 5 are

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Answer:

The cliffs are home to many seabirds. Despite its name, there are few puffins (around 50 pairs during the April-July breeding season).

Step-by-step explanation:

The values of x, y, and z are 1, 2, and 3 respectively after using the substitution method.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a linear equation in three variable:

2x + 3y - z = 5 ...(1)

4x - y - z = -1 ...(2)

x + 4y + z = 12 ...(3)

[tex]\rm \mathrm{Substitute\:}x=\dfrac{5-3y+z}{2}[/tex]   (from the equation 1 and 2)

After solving:

[tex]\rm \begin{bmatrix}-7y+z+10=-1\\ \dfrac{5y+3z+5}{2}=12\end{bmatrix}[/tex]

From the above, two equations:
y =2

z =3

Plug the above values in equation 1

x = 1

Thus, the values of x, y, and z are 1, 2, and 3 respectively after using the substitution method.

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Answer:

[tex]y = 85[/tex]

[tex]x = 95[/tex]

Answer:

Step-by-step explanation:

(2x + 4x + 6x) * 2  = 360*

2x + 4x + 6x = 180°

12x = 180°

x = 180 : 12

x = 15

(2x + x) * 2 = 360

2x + x = 180

3x = 180

x = 180 : 3

x = 60°

Make the equations equal and solve for x

For x=0

For x=-1

The solutions are

Graph attached

Answer: 17

Step-by-step explanation:

Don't forget about PEMDAS. (parentheses, exponents, multiplication, division, addition, subtraction)

Start with parentheses

(3+13-10)... 13+3= 16, 16-10=6 ...

so (3+13-10)=6

Now we have...

6 + 14 / 2 + 4

No exponents so we go on.

no multiplication so we go on

Now division...

14 / 2 = 7 because 7 x 2 = 14

Now we have...

6 + 7 + 4

now we do addition, addition is commutative so you can add it in any order you want

6 + 7 = 13, 13 + 4 = 17

therefore, the answer is 17

Rhombus RSTU is congruent to WXYZ, and are translational images of each other because all their sides and angles are equal

Some of the properties of a rhombus are;

If Rhombus RSTU is congruent to WXYZ, then they are both translation images of each other because all their sides and angles are equal.

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Answer:

f(g(2)) = 4

Step-by-step explanation:

find g(2) then substitute the value obtained into f(x)

locate x = 2 on the x- axis, go vertically up to meet g(x) at (2, 5 )

locate x = 5 on the x- axis, go vertically up to meet f(x) at (5, 4 )

then f(g(2)) = 4

Answer:

2 days

Step-by-step explanation:

275 miles times 0.05 = $13.75 for mileage

200-13.75=186.25 left

186.25/63.41(daily fee)= 2.93

She can rent it for 2 days

The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order is 0.2917.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

A.) The probability that she will NOT randomly take out two oranges in a row,

Probability = 1 - (5/12)² = 0.8264

B.) The probability that she will NOT randomly take out two grapefruits in a row,

Probability = 1 - (4/12)² = 0.8264 = 0.8889

C.) The probability that she will NOT randomly take out two apples in a row,

Probability = 1 - (3/12)² = 0.8264 = 0.9375

D.) The probability that she will NOT take out an orange, then an apple, and finally a grapefruit in that order,

Probability = (7/12) × (9/12) × (8/12) = 0.2917

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A circle has a center, radius, diameter and points in a plane. Depending on the context, the definition of a circle must contain at least one of the following terms:

Center

Radius

Diameter

Points in a plane

The complete question is as follows:-

James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough

because he should specify that

A circle includes its diameter

The set of points is in a plane

A circle includes its radius

The set of points is collinear

A circle is a two-dimensional geometry on the plane having a center point and the circular line is drawn equidistant from the center point.

Based on James' definition of a circle, he needed to specify that the points are in a plane (option c).

As presented in his definition "the set of all the points" can be interpreted in several ways. Some of which are:

the set of points on a line

the set of points in a plane

the set of points in a region

Etc

Of these numerous possible interpretations, James should have specified that the set of points is in a plane

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Answer:

x=-2

Step-by-step explanation:

Given equation:

8^x= 1/64

Ensure both sides of the equation are in power format by changing 1/64

1/64 = 64^-1

8^x = 64^-1

2^3(x) = 2^6(-1)

The bases will cancel out each other

3(x) = 6(-1)

3x = -6

x = -6/3

x = -2

Check

8^x = 1/64

x = -2

8^-2

= 1/8²

= 1/8*8

= 1/64

Answer:

It's at the beginning of x+4, the 2nd symbol of 4x-4, and the beginning of X+1.

Step-by-step explanation:

No explanation for you! Just choose them! It's right!

Answer:

the answer is 6 just add the radius of both circle

Answer:

OP is 6

Step-by-step explanation:

Because we av being given d parameters

4 is d radius of the first circle and 2 is d radius of the second circle so automatically d answer is 6

Answer:

the value is 14

Step-by-step explanation:

because im just trying to get points

Answer: B, C, D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If you imagine the dots continued in a connected line, (imagining where the data points will likely go), the line's slope informs you if it is a negative (going down/negative slope) linear association or if it's a positive (going up/positive slope) linear association.

For A, it has a positive slope [as it increases].

For B, it also has a positive slope

For C, there is no correlation, the dots are not showing any trends

For D, there is a negative slope.

This means that the scatter plot D shows a negative linear association.

Option (D) shows a negative linear association between the variables is the correct answer.

A scatter plot is a type of data visualization that shows the relationship between different variables. Scatter plots are used to plot data points on a horizontal and a vertical axis in an attempt to show how much one variable is affected by another.

For the given situation,

The graph shows the data points on a horizontal and a vertical axis.

A scatter plot with an increasing value of one variable and a decreasing value for another variable can be said to have a negative correlation.

Among graphs, in option (D) when one variable tends to increase in the x-axis, the other variable decreases in the y-axis.

Hence we can conclude that option (D) shows a negative linear association between the variables is the correct answer.

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Answer:(-6,0)

Step-by-step explanation:

[tex] \sqrt{12} + 1 - \sqrt{5} \\ = \sqrt{4} \times \sqrt{3} + 1 - \sqrt{5} \\ = 2 \sqrt{3} + 1 - \sqrt{5} [/tex]

Answer:

C

Step-by-step explanation:

Lower rectangle =  4 * 12 =   48  in^2

Upper trapezoid  1/2 ( 5 + 12 ) *  6 = 51 in^2

total = 48 +  51 = 99 in^2

Answer:

1 kilometre = 1000 metres
2.5km = 2.5 × 1000m = 2500m
2500 - 1950 = 550m

Therefore Justin rides 550m farther than Luke walks to school.

Answer:

500π in^3

Step-by-step explanation:

The radius is half the diameter, so the radius is 5 in. Since the height is four times that, the height is 20 in.

The equation for the volume of a cylinder is:

[tex]V = \pi r^{2}h[/tex]

We can plug in the radius and height:

[tex]V = \pi \times (5)^{2} \times 20\\V = \pi \times 25 \times 20\\V = 500\pi in^{3}[/tex]

Answer:

Herman is wrong.  Latoya got the better deal.

Step-by-step explanation:

Latoya bought 8 pounds of potatoes for $18.

    ► 18 / 8 = $2.25 per pound

Herman bought 6 pounds of potatoes for $15.

    ► 15 / 6 = $2.50 per pound

Cheaper per pound is better!