The following list gives the number of siblings for each of 11 students. 2, 0, 4, 3, 2, 3, 2, 0, 0, 1, 2 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode." i 0,0,... X No mode Ś ? 2. 2

In this case the answer is very simple.

Step 01:

Data

y = 2x + 11

Step 02:

point 1 ( -4 , 3)

y = 2(-4) + 11

y = -8 + 11

y = 3

The answer is :

( -4 , 3)

Let x represent the number of adult tickets sold.

Let y represent the number of student tickets sold.

We were told that the movie theater sold a total of 205 tickets to a movie. This means that

x + y = 205

Adult tickets were $9 and student tickets were $5. This means that the cost of x adult tickets and y student tickets is 9x + 5y. If the total cost of the tickets was $1621, it means that

9x + 5y = 1621

From the first equation, x = 205 - y

We would substitute x = 205 - y into 9x + 5y = 1621. Thus, we have

9(205 - y) + 5y = 1621

1845 - 9y + 5y = 1621

- 9y + 5y = 1621 - 1845

- 4y = - 224

y = - 224/- 4

y = 56

x = 205 - y = 205 - 56

x = 149

Thus, 56 student tickets were sold

Answer:

(4, 5)

Explanation:

The system of equation is

x - y = -1

x + y = 9

To solve the system using elimination, we need to add both equations so

x - y = -1

x + y = 9

2x + 0 = 8

Now, we can solve the equation

2x = 8

2x/2 = 8/2

x = 4

Finally, replacing x = 4 on the second equation and solve for y

x + y = 9

4 + y = 9

4 + y - 4 = 9 - 4

y = 5

Therefore, the solution to the system of equation is

x = 4 and y = 5 or the point (4, 5)

Answer:

Concept:

The question will be solved using the empirical rule below

The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

a) To figure out the percentage of students that scored between 34 and 60, we will use the principle below

As the scores are normally distributed so, according to empirical rule the percentage of data falls within one,two and three standard deviations are 68%,95% and 99.7% respectively.

Where the mean and standard deviation given are

By substituting the values, we will have

Hence,

Approximately __68%__ of the students scored between 34 and 60.

B)

Approximately 99.7% of the students scored between __ and ___​

To figure out the values, we will use the formula below

By substituting the values, we will have

Hence,

The final answer is

Approximately 99.7% of the students scored between _8_ and _86__​

The given expression is

Let's replace the values x = 2, and y = 1.

According to the given graph, angles HJK and MJL are not adjacent but vertical angles, which means they are equal.

Hence, Jonas is wrong, they are not adjacent but vertical angles.

First, we can say that the number of pages Y that Jared has read after 5 days is:

Y = 85 + 5x

Where x is the number of pages that he will have to read every day.

Now, we know that the total number of pages is 300, so replacing y by 300, we get:

300 = 85 + 5x

So, solving for x, we get:

Therefore, Jared will have to read 43 pages per day.

Answer: 43 pages

Answer:

(-2,8),(-1,2),(0,0)(1,2) and (2,8)

Explanation:

Given the functions, f(x) and g(x) defined below:

First, find the sum (say h(x)) of the functions f(x) and g(x):

Next, we determine 5 ordered pairs for the sum:

The 5 ordered pairs are (-2,8),(-1,2),(0,0)(1,2) and (2,8).

Let C be the weight of one circle and S the weight of the square.

Since the system is in equilibrium, we have that

Hence, the weight of the circle in terms of the weight of the square is given by

Answer:

2.

Equation: 5x - 15 = 3x + 1

AR: 25

RX: 25

AX: 50

3.

The length of the segment is of 14.4 units.

The coordinates of the midpoint are (1,-2).

Step-by-step explanation:

2.

Since R is the midpoint of segment AX, we have that:

AR = RX

So

5x - 15 = 3x + 1

5x - 3x = 1 + 15

2x = 16

x = 16/2

x = 8

AR = 5x - 15 = 5*8 - 15 = 40 - 15 = 25

AR = RX = 25

AX = AR + RX = 25 + 25 = 50

3.

To find the length of a segment, we find the distance between their endpoints. The distance between points (x1,y1) and (x2,y2) is given by:

The midpoint of a segment is the mean of the coordinates of their endpoints.

Length of the segment:

Segment between points (-3,4) and (5,-8). So

The length of the segment is of 14.4 units.

Coordinates of the midpoint:

Midpoint of (-3,4) and (5,-8).

x-coordinate:

(-3+5)/2 = 2/2 = 1

y-coordinate:

(4-8)/2 = -4/2 = -2

The coordinates of the midpoint are (1,-2).

Explanation:

We have a rectangle and we need to describe what the letters l and w represent.

Since ''l'' is placed on the longer side of the rectangle, it represents the length:

And since ''w'' is placed on the shorter side of the rectangle, it represents the width:

Answer:

Perimeter = 2(L+B) = 2(7+5) =2(12) = 24

Perimeter of a square = 4L

24 = 4L

Dividing through by 4, we get,

L =24/4

L = 6 units. (option B)

We are asked to evaluate a series of operations that include mixed numbers.

In roder to facilitate the operations, we are starting by converting the mixed numbers into improper fractions, since we have clear rules for operating with fractions.

the number: - 2 3/5 can be written as: -10/5 - 3/5 = -13/5

the number -1 4/5 can be written as - (5/5 + 4/5) = - 9/5

so now we have the folloowing operation among fractions:

- 13/5 x 2/3 - 9/5

The first product is that of a negative number times a positive number, which renders a NEGATIVE number:

- 13/5 x 2/3 = -26/15

Now we need to subtract 9/5 from it;

- 26/15 - 9/5 = -26/15 - 27/15

where we have converted 9/5 into an equivalent fraction with the same denominator as the first one, to be able to combine:

- 26/15 - 27/15 = - 53/15

Now we need probably to answer in MIXED number form, so we proceed to convert this improper fraction into a mixed number:

- 53/15 = - (45/15 + 8/15) = - (3 8/15) = - 3 8/15

m° = 150°

m° and 150° are a pair of alternate angle

Alternate anges appear at opposite sides of the transversal line. They are equal in size.

So, m° and 150°are equal in size

m° = 150°

1)

A circle with radius 9in is inscribed in the square. such that the sides of square are toch the circle.

So, Diameter of the circle = Side of square i.e. AB = ML

Diamter is the twice of the radius,

Here radius = 9 in

So, Diameter = 9 x 2

Diameter = 18in

As the diameter and sides are equal, so AB = 18 in

The general expression for the perimeter of square = 4 x side

Perimeter of Square = 4 x 18

Perimeter of square = 72in

Answer : C) 72 in

Use the next formula to find the length of the arc

Where r is the radius, theta is the angle in radians and s is the length of the arc.

The first step is to convert the angle from degrees to radians.

Now, replace the given values and find the length of the arc

The length of the arc is 7 inches.

Given that

The Astros' probability of winning is 1/3.

The Cardinals' probability of winning is 1/6.

The Reds' probability of winning is 1/4.

The Cubs and the Pirates have the same probability.

Let x be the probability of Cubs and Pirates.

We know that the sum of all the probabilities is equal to 1.

Adding all the probabilities as follows.

Here LCM of 3,6, and 4 is 12, making the denominator 12.

Adding -3/4 on both sides, we get

Dividing by 2 on both sides, we get

Hence the Cubs' probability is 1/8, and the Pirates' probability is 1/8.

Hence the option 4th is correct.

1) If we think of sets, let A ={1,3,5,7} and B={2,4,6,8, 7} when we want to express that the union of elements of both A and B we can write:

A∪B ={1,2,3,4,5,6,7,8}

2) Note that repeated elements, in this case, 7 are no supposed to be enlisted twice since it is the same element.

A∪B the union of both sets, in a diagram.

First, let's calculate the height and hypotenuse of the triangle, using the tangent and sine relation of the angle 37°:

After revolving the triangle, the hypotenuse will become the slant height of the cone.

To calculate the volume of the cone, we can use the formula below:

And to calculate the surface area, we can use the formula below:

The absolute value of 3.4, |3.4| = 3.4

Absolute value most times simply makes a negative number positive but does not affect an already positive number. So |-4| = 4 and absolute value of 4, |4| = 4

To find out the scale factor we must see that ABC is twice as big EDF, which means that EDF was reduced by half, therefore the scale factor is 1/2

Now we must think about the reflection, it's a reflection across the y-axis, it's like if you fold your paper in half (left to right), see that the point of the triangle continues downwards.

After the reflection, we moved it three units to the right (uses the point F as reference) and two units up, if it helps, try to imagine the F point in the light blue figure, and how many units you must move to fit it in the original F points, if you do you will see that it's (x+3, y+2)

Explanation

when you have an angle in degrees the area of the circular sector is given by:

then

let

radius=5

replace,

so, the answer is

I hope this helps you

1 -2x = -7

-2x = -7 - 1

-2x = -8

Divide both sides by -2,

x = -8 / -2

x = 4.

Conclusion : 3 is not the solution of the equation, the solution is 4

The number of outfits that can be worn is determined by counting principle.

We have the following given:

7 skirts

6 shirts

3 shoes

With that we have a total of

126 total outfits a girl can wear.

Here's the answer and the procedure:

From the question, we can say that the high temperature on Monday minus its 10%, equals the high temperature on Tuesday (54° F). Let's call T the temperature on Monday:

The term 0.1*T represents the 10% of T.

Solving the equation:

Then, the temperature on Monday was 60° F.

The freshman class treasury has 30 ten and twenty-dollar bills that have a total value of 430. How many of each bill do they have??

Let

x -----> number of ten dollar bills

y -----> number of twenty dollar bills

we have

x+y=30 -----> x=30-y -----> equation 1

and

10x+20y=430 -----> equation 2

solve the system

substitute equation 1 in equation 2

10(30-y)+20y=430

solve for y

300-10y+20y=430

10y=430-300

10y=130

y=13

Find the value of x

x=30-13

x=17

therefore

Given:

Length, l = 4

Width, w (base) = 4

Vertical height = 3

To find the area of the rhombus, use the formula below:

From the figure, the base is = 4 units, while the height is = 3 units

Thus, we have:

Therefore, the area of the figure is 12 square units

ANSWER:

B. 12 square units

The measure of the central angle is equal to the measure of its subtended arc.

Since the central angle, JNL is subtended by the arc JKL

Then the measure of arc JKL = the measure of angle JNL

Since the measure of angle JNL = 90 degrees, then

The measure of arc JKL = 90 degrees

Since the measure of arc JKL = m of arc JK + m of arc KL, then

90 = 52 + m arc KL

Subtract 52 from both sides

90 - 52 = 52 - 52 + m arc KL

38 = m arc KL

Since the measure of the circle is 360 degrees

Since arc MK is half the circle because KM is a diameter, them

m of arc MKL = m arc MK + m arc KL

m of arc MKL = 180 + 38

m of arc MKL = 218

Now we will find its length using this rule

r is the radius of the circle

Since MK is the diameter o the circle, then

Substitute it in the rule and use pi = 3.14

Round it to the nearest hundredth, then

L = 19.01 m or 19.02 if you use the value of pi on the calculator