Art and PE

--------- Art No Art Total
PE A B C
No PE D E F
Total G H J

300 students in a middle school take Art, and 250 of those students also take PE. There are 250 students who do not take Art but do take PE. 125 students take neither Art nor PE. If you were to complete the two-way table shown here, which value would go in position D?

A) 50
B) 75
C) 100
D) 125

Answer:

23% of student will have red hair given that the student has green eyes.

Step-by-step explanation:

We are given the following in the question:

Percentage of students that have green eyes = 65%

[tex]P(G) =0.65[/tex]

Percentage of students that have red hairs = 25%

[tex]P(R) =0.25[/tex]

Percentage of students that have green eyes and red hairs = 15%

[tex]P(G\cap R) =0.15[/tex]

We have to find the conditional probability of randomly selected  student that will have red hair given that the student has green eyes.

[tex]P(R|G) = \dfrac{P(R\cap G)}{P(G)}[/tex]

Putting values, we get,

[tex]P(R|G)=\dfrac{0.15}{0.65} = 0.2307\approx 23\%[/tex]

Thus, 23% of student will have red hair given that the student has green eyes.

The equivalent expression is: (C) [tex]$\frac{1}{3^9 \cdot 6^{18}}$[/tex].

To simplify the given expression, we can apply the rules of exponents.

First, we raise 3 to the power of 3 and 6 to the power of 6, individually:

3^3 = 27 and 6^6 = 46656.

Next, we multiply these two values together:

27 * 46656 = 1259712.

Now, we raise the result to the power of -3:

1259712^(-3).

To simplify this expression, we can rewrite it as the reciprocal of the base raised to the positive exponent:

(1 / 1259712^3).

This can be further simplified by raising the base to the power of 3:

(1 / (1259712 * 1259712 * 1259712)).

Finally, we can simplify the expression by multiplying the denominators:

1 / (1954890816015872).

Answer:

$3520

Step-by-step explanation:

Conversion

To convert feet to yards, we divide the measurement of feet by 3 hence for dimenaion given as 48 ft, it will be 48÷3=16 yards

The area will be given by the product of length and width and since both measurements are given

A=lw

A=16*20=320 yd²

Cost will be 320*11=$3520

Therefore, the department will have to pay $3520 for the work to be completed

Answer: 2 zoos

Step-by-step explanation: Hope this helped!☺️

A stem-and-leaf plot is a graphical representation of numerical data showing the distribution. In the context of the question, it is visualizing the distribution of the number of tigers in each major zoo in the country.

A stem-and-leaf plot is a type of graph used to represent numerical data. The stem of the plot represents the first digit or digits of the data points, while the leaves represent the last digit. This form of data representation is commonly used in statistics to visualize the distribution of a set of data.

In this case, the stem-and-leaf plot that the government published is showing the distribution of the number of tigers in each major zoo in the country. Each 'stem' represents the tens place of the number of tigers and each 'leaf' represents the ones place. For example, if there is an entry of 3|4 in the plot, it means that there is a major zoo in the country that houses 34 tigers.

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Answer:

The planet you're describing is Mercury. It fits all the criteria of the question.

Note: If you're looking for another planet, Mars has a thin atmosphere and is rocky, but does not rotate slowly. Venus rotates very slowly and is rocky, but has a thick atmosphere. Earth doesn't have a thin atmosphere or rotate slowly, but it is rocky and dense.

Answer:

The Terrestrial or Inner Planets

Step-by-step explanation:

You are describing the terrestrial or inner planets of our Solar System. All of these planets, Mercury, Venus, Earth, and Mars are rocky and have a dense surface unlike the gas giant or outer planets, Jupiter, Saturn, Uranus and Neptune.

Answer:

1 1/6

Step-by-step explanation:

Answer:

7/6

Step-by-step explanation:

2/3 + 1/2 = (2*2)/(3*2)+ (1*3)/(2*3)=4/6+3/6=(4+3)/6=7/6

Or the mixed numer: 7/6 =1 1/6

On Tuesday, the street sweepers cleaned [tex]\( \frac{5}{8} \)[/tex] city blocks.

On Tuesday, the team of street sweepers cleaned [tex]\( \frac{1}{4} \)[/tex] as many blocks as they did on Monday.

Given that they cleaned [tex]\( 2\frac{1}{2} \)[/tex] city blocks on Monday, we need to find [tex]\( \frac{1}{4} \)[/tex] of this amount to determine how many blocks they cleaned on Tuesday.

To find [tex]\( \frac{1}{4} \)[/tex] of [tex]\( 2\frac{1}{2} \),[/tex] we multiply [tex]\( 2\frac{1}{2} \)[/tex] by [tex]\( \frac{1}{4} \)[/tex]:

[tex]\[ 2\frac{1}{2} \times \frac{1}{4} = \frac{5}{2} \times \frac{1}{4} = \frac{5}{8} \][/tex]

So, the street sweepers cleaned [tex]\( \frac{5}{8} \)[/tex] city blocks on Tuesday.

Answer:

w = x + 50

Step-by-step explanation:

The dog is 50 pounds. The person's weight is x. You are trying to find the total weight of the dog and person. Therefore, you need to combine the two values to get the total, making the equation w = x + 50, or x + 50 = w

Answer:

to the tenths place, 32.86

Step-by-step explanation: It is because money is always rounded to the tenths place

Answer:

c

Step-by-step explanation:

Answer:

the mean absolute deviation would be 1.5.

Step-by-step explanation:

Mean: 3 + 7 + 4 + 2 = 16/4 = 4

4 - 3 = 1

4 - 7 = 3

4 - 4 = 0

4 - 2 = 2

(M.A.D) Mean Absolute Deviation: 1 + 3 + 0 + 2 = 6/4 = 1.5

Answer: The volume of cheese remaining is 7 cubic inches (7 in³)

Step-by-step explanation: The cheese is in the shape of a cylinder. The volume of a cylinder is given as follows;

Volume = πr²h

Where r = radius of the top of the cylinder and h = the height of the cylinder.

In this case, the cheese has its radius as 3 inches (that is diameter divided by 2). Also the height is given as the thickness of the cheese which is 2 inches. Note also that part of the cylindrical cheese has been eaten leaving only a potion which has an angle of 45 degrees.

The volume of the left over portion therefore can be calculated as follows;

Volume = (∅/360) x πr²h

Volume = (45/360) x 3.14 x 3² x 2

Volume = (1/8) x 3.14 x 9 x 2

Volume = (1/8) x 56.52

Volume = 7.065

Volume ≈ 7

Therefore the volume of cheese that remains is 7 cubic inches (7 inches³) approximately.

Answer:

It's the first one

Answer:

It shows the way migrant children dressed.

It shows how migrant children had to work.

It shows feelings of sadness from unfair treatment.

Step-by-step explanation:

those 3 are correct

Answer:

It shows the way migrant children dressed.

It shows how migrant children had to work.

It shows feelings of sadness from unfair treatment.

Step-by-step explanation:

Just took test

Answer:

13.9% marginal

Step-by-step explanation:

The percentage of tickets sold to Seniors can be found as:

[tex]p(s)=\frac{S}{N}\cdot 100[/tex]

where

S is the number of all tickets sold to seniors

N is the total number of tickets sold

By looking at the table, we see that:

S = 32 + 14 + 54 = 100 is the number of tickets sold to seniors

N = 35 + 87 + 62 + 56 + 177 + 205 + 32 + 14 + 54 = 722 is the total number of tickets sold

Therefore, the percentage is:

[tex]p(s)=\frac{100}{722}\cdot 100 =13.9\%[/tex]

The three different types of frequencies are defined as:

- Joint: the frequency of a single category calculated with respect to the total number --> this is not the case

- Marginal: the frequency of an entire row/column over the total --> this is the case

- Conditional: the frequency of a single category over a subset of the total --> this is not the case

So, the correct answer is

13.9% marginal

Answer:

x = 50

Step-by-step explanation:

The measure of the secant- secant angle is one half the difference of the measures of the intercepted arcs, that is

x = [tex]\frac{1}{2}[/tex] (130 - 30) = 0.5 × 100 = 50

Answer:

6

Step-by-step explanation:

3+x+x=15

3+2x=15

2x=15-3

2x=12

x=12/2

x=6

Answer:

x=6

Step-by-step explanation:

x=6 because if you simplify this equation you get 3 + 2x = 15. The first step to solving a equation is having the x value on one side of the equation and the number value on one side. to do this we can subtract 3 from both sides of the equation and get the equation 2x=12. which would mean x=6.

Answer:

28.25

Step-by-step explanation:

Final answer:

The area of a circle with a circumference of 18.84 yards is approximately 28.274 square yards, found by first calculating the radius from the circumference and then using the area formula πr².

Explanation:

To find the area of a circle with a given circumference, we first need to determine the radius of the circle using the circumference. The formula to find the circumference C is C = 2πr, where r is the radius of the circle and π (pi) is approximately 3.14159. Since we are given that the circumference C is 18.84 yards, we solve for the radius r as follows:

r = C / (2π)

r = 18.84 yd / (2 × 3.14159)

r = 3 yards (approximately)

Once we have the radius, we can calculate the area of the circle using the formula:

A = πr²

A = π × (3 yd)²

A = 3.14159 × 9 yd²

A = 28.274 yards² (approximately)

Therefore, the area of the circle with a circumference of 18.84 yards is roughly 28.274 square yards.

Answer:

Negative.

Step-by-step explanation:

To understand the question, you first must understand the slopes of different types of equations.

A linear equation: [tex]y = 2x[/tex] will travel from the third quadrant to the first.

If you plug in 2 for x, y will equal 4. Both values are positive, leading to a positive correlation.

A linear equation: [tex]y = -3x[/tex] will face the other direction, as shown in your attached image. When you plug in a positive number for x, like 5, y will equal -15, making the graph go up and left towards negative values.

Answer:

Step-by-step explanation:

hello :

let : A(6,2)   and B(7,3)

the slope is :   (YB - YA)/(XB -XA)

(3-2)/(7-6)  = 1/1

the slope is : 1

Answer:

393 bacteria

Step-by-step explanation:

First find how much it would increase per hours :

1900 / 29 = 65.5172414

Then take this and multiply it by 6 to get :

393.103448

Round it to the nearest whole number to get:

393 bacteria

Answer:2193

Step-by-step explanation:

y= 1900(2)^6/29

Answer:

Line B

Step-by-step explanation:

I got it right

Line B has a steeper slope than line A because its slope is greater than the slope of line A.

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

For line A, the two points are (-3, 0) and (0, 4).

Plugging these values into the formula, we get:

slope = (4 - 0) / (0 - (-3)) = 4 / 3

For line B, the two points are (0, -4) and (2, 0).

Plugging these values into the formula, we get:

slope = (0 - (-4)) / (2 - 0) = 4 / 2 = 2

Therefore, line B has a steeper slope than line A, because its slope is greater than the slope of line A. Line A has a slope of 4/3, while line B has a slope of 2.

We can also visualize this by drawing the lines on a coordinate plane. Line B will have a more steeply inclined slope than line A, as it will rise more quickly as it moves from left to right.

Learn more about the Slope of the Line here:

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Answer:

181 is the thing is what it says it is just find the volum

Step-by-step explanation:

Answer:

13 and 14 inches

Step-by-step explanation:

Answer:

Arc Length: [tex]S=r\theta[/tex]

[tex]S=3\frac{7\pi}{3}\\S=7\pi in[/tex]

Answer:

B) Angle 4 is congruent to angle 8

Step-by-step explanation:

The length of side "s" of the square is 3 units, as it is equal to one of the legs of the 45-45-90 right triangle formed by the diagonal of the square.

To find the length of side "s" of the square shown below, we can use trigonometry, specifically the properties of right triangles and the fact that the diagonal divides the square into two congruent 45-45-90 right triangles.

Given information:

The diagonal of the square measures 6 units.

One of the angles at the top of the square is 45 degrees.

Step 1: Recognize the properties of the 45-45-90 triangle:

Since the diagonal divides the square into two congruent right triangles, and one angle is 45 degrees, we have a 45-45-90 triangle. In such a triangle, the two legs (the sides opposite the 45-degree angles) are congruent, and the hypotenuse (the side opposite the 90-degree angle) is √2 times the length of a leg.

Step 2: Use trigonometric ratios:

Let "x" be the length of one leg of the 45-45-90 triangle, which is also equal to side "s" of the square.

From the properties of the 45-45-90 triangle:

x (leg) = s (side of the square)

Hypotenuse = √2 * leg

Given that the diagonal of the square is 6 units, we can relate the diagonal to the legs:

Diagonal = 2 * leg

6 = 2 * x

Now, solve for x (the length of one leg of the triangle and side "s" of the square):

x = 6 / 2 = 3 units

So, the length of side "s" of the square is 3 units.

Therefore, from the given options the correct one is B.

For more such information on: square

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Answer:

x = 1.386

Step-by-step explanation:

4e^x= 16

e^x=4

ln(e^x)=ln4

x=ln4=1.386

Answer:

  The answer is D) (-6,-8) because in order to have a coordinate in the III quadrant you need two negatives.

Step-by-step explanation:

Answer:

The correct answer is D) (-6,-8)

Step-by-step explanation:

All points in the third quadrant have two negative numbers.

Answer:

C) 6.9

Step-by-step explanation:

Answer:

C

Step-by-step explanation: