Find the volume of the figure round to the nearest 10th if needed

Let A be the event "person under 18" and B be the event "employed part-time". So, we need to find the following probability

which is given by

Since the total number od people in the table is equal to n=4089, we have that

and

and

we have that

which gives

Therefore, the answer the searched probability is: 0.296

In total there are 35 pins so that correspound to the 100%, so we can use a rule of 3 to solve it so:

So the equation is:

So there are 28 green pins

Answer

Option B is the correct answer.

A n Φ = {}

A n Φ is the empty set.

Explanation

We are told to find the intersection between set A and the empty set Φ.

The intersection of two sets refers to the elements that belong to the two sets, that is, the elements that they both have in common.

Set A = (2, 3, 8, 9)

Set Φ = {}

What the elements of set A and set Φ (an empty set) have in common is nothing.

Hence, the intersection of set A and set Φ is an empty set.

A n Φ = {}

Hope this Helps!!!

Answer:

sorry if this is wrong

I just answered it according to the question you gave not the pic

Step-by-step explanation:

x = 65

11x + x = 180

12x = 180

x = 180 ÷ 12

= 15

Answer:

Step-by-step explanation:its a  69420 dum as

a) Since the grade is given by the slope, and the grade has a 5%.

We can rewrite it as a fraction, like this:

Note that we have simplified this to 1/20 by dividing the numerator and the denominator (bottom number) by 5

So, the slope is:

b) The "rise" is the difference between two coordinates on the y-axis and the "run" is the subtraction between two coordinates on the x-axis. Let's remember the slope formula and the Cartesian plane:

So the "rise" for this grade is 1 foot and the run is 20 feet.

3) Hence, the answers are:

The correct representations of the inequality -3(2x-5)<5(2-x) are -6x + 15 < 10 - 5x  and  "an open circle is at 5 and a bold line that starts at 5 and is pointing to the right" , the correct option is (c) and (d) .

In the question ;

it is given that

the inequality -3(2x-5)<5(2-x)

on solving this inequality further , we get

-3(2x-5)<5(2-x)

-6x+15<10-5x

which is option (c) .

Further solving

Subtracting 15 from both the sides of the inequality  , we get

-6x + 15 -15 < 10 -5x -15

-6x < -5 -5x

-6x +5x < -5

-x < -5

multiplying both sides by (-1) ,

we get

x > 5 .

x> 5 on number line means  an open circle is at 5 and a bold line starts at 5 and is pointing to the right .

Therefore , the correct representations of the inequality -3(2x-5)<5(2-x) are -6x + 15 < 10 - 5x  and  "an open circle is at 5 and a bold line that starts at 5 and is pointing to the right" , the correct option is (c) and (d) .

The given question is incomplete , the complete question is

Which are correct representations of the inequality -3(2x - 5) < 5(2 - x)? Select two options.

(a) x < 5

(b) –6x – 5 < 10 – x

(c) –6x + 15 < 10 – 5x

(d) A number line from negative 3 to 7 in increments of 1 , An open circle is at 5 and a bold line that starts at 5 and is pointing to the right.

(e) A number line from negative 7 to 3 in increments of 1,  An open circle is at negative 5 and a bold line that starts at negative 5 and is pointing to the left.

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the coordinates of two points on a line are (-4,8) and (2,2). Find the slope of the line.​

Applying the formula to calculate the slope

we have

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

m=-6/6

m=-1

Let's assume X is the original price of the flat-screen TV

The store is advertising a 17% off sale in that price, so the real sale price should be less than the original price

To calculate a % discount, we proceed as follows:

Compute the discount:

discount = 17% of X

Recall a percentage can be expressed as the number divided by 100, that is:

discount = 17 / 100 * X = 0.17X

Now we have the discount, we calculate the actual or sale price, which is the original price minus the discount:

sale price = original price - discount

sale price = X - 0.17X

We apply simple algebra to simplify the expression, just subtracting 1-0.17=0.83

sale price = 0.83X

We know the sale price is $664, thus:

0.83X = 664

Finally, we solve for X

This means that the original price of the TV was $800. Let's verify our result

Line p is perpendicular bisector of line MN. This means that it divides line MN equally. Thus, point B is the midpoint of line MN. Thus, we would find the midpoint of line MN by applying the midpoint formula which is expressed as

(x1 + x2)/2, (y1 + y2)/2

Looking at the given points of line MN,

x1 = - 5, y1 = 2

x2 = 7, y2 = - 1

Midpoint = (- 5 + 7)/2, (2 + - 1)/2

Midpoint = 2/2, 1/2

Midpoint = 1, 1/2

We would find the slope of line MN. The formula for finding slope is expressed as

m = (y2 - y1)/(x2 - x1)

Looking at the given points of line MN,

x1 = - 5, y1 = 2

x2 = 7, y2 = - 1

m = (- 1 - 2)/(7 - - 5) = - 3/(7 + 5) = - 3/12 = - 1/4

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line. This means that the slope of line p is 4/1 = 4

Thus, line p is passing through point (1, 1/2) and has a slope of 4

The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m represents slope

c represents y intercept

To determine the equation of line p, we would substitute m = 4, x = 1 and y = 1/2 into the slope intercept equation. It becomes

1/2 = 4 * 1 + c

1/2 = 4 + c

c = 1/2 - 4

c = - 7/2

Substituting m = 4 and c = - 7/2 into the slope intercept equation, the equation of line p would be

y = 4x - 7/2

By solving the equations, we can conclude that the two numbers are 4 and 6.

So, the two numbers are:

The equation will be:

Now, solve this equation for 'x' as follows:

Now, 4x - 20:

Therefore, by solving the equations, we can conclude that the two numbers are 4 and 6.

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the given expression is,

-14.4 + x = -8.2

x = 14.4 - 8.2

x = 6.2

thus, the answer is x = 6.2

Given the equation:

Let's identify the type of polar graph for the equation.

To identify the type of polar graph, use the formula below to get the Cartesian form:

Thus, we have:

We have the graph of the equation below:

We can see the graph forms a Limacon with an inner loop.

Therefore, the type of polar graph for the given equation is a limacon with inner loop.

ANSWER:

Answer:

12

Explanation:

In the bag, the guaranteed ratio of peanut to raisin = 5:2

Number of peanuts = 30

Let the number of raisins =x

We therefore have that:

The number of raisins in the bag is 12.

Notice that the arc GH has the same measure as the angle GFH, which also has the same measure as the angle EFI since they are vertical angles.

On the other hand, EFI and IFS are adjacent angles, then:

Observe that the measure of the angle EFS is 90°. Since the measure of IFS is 20°, substitute those values into the equation to find the measure of EFI:

Thereore, the measure of GH is 70°.

Let that unknown number be x

⇒Mathematically this is written as

[tex]5(x)-6=9\\5x-6=9\\5x=9+6\\5x=15\\\frac{5x}{5} =\frac{15}{5} \\x=3[/tex]

This just means that the unknown number is 3

GOODLUCK!!

Answer:

nine plus six

= 15 ÷ five

answer Three

In this question, we are given two lines.

1) y = 0.5*2^x

2) y = 2x + 25

The standard equation of a line is y = mx + b, where m is the slope and b is the y-intercept.

The positive slope moves the line upwards and the negative slope moves the line downwards.

If we compare both the equations, we see the 2nd equation maps with the standard line form. Hence, the second equation is a line with the slope equals to 2 and y-intercept equals 25. As the slope is positive, the line is moving upwards.

The standard equation of an exponential function is y = a*b^x, where b is the base, x is the exponent and a is the y-intercept.

The positive value of the base moves the function upwards and the negative value moves it downwards.

If we compare both the equations, we see the 1st equation maps with the standard exponential form. Hence, the 1st equation is an exponent form with the base to 2 and y-intercept equals 0.5. As the base is positive, the line is moving upwards.

Let:

C = Number of cars washed

T = Number of trucks washed

They washed a total of 80 vehicles, so:

They raised a total of $486. They charged $5 to wash a car and $7 to wash a truck.​ so:

Let:

From (1) solve for T:

Replace (3) into (2):

Replace the value of C into (3):

They washed 37 cars and 43 trucks

SOLUTION

Now from the question, if the die lands on 6, I win $6. So probability of landing on 6 is

Since I will pay $2 to play, we subtract this from $6 that we will win.

And probability of losing becomes

The table becomes

From the table the expected earnings is calculated as

Hence expected earnings is -$1

Answer:

Explanation:

We were given the following information:

This is a normal distribution curve

Mean = 53

Standard deviation = 9

We are to find the area right of x = 71

This is calculated as shown below:

We will proceed to plot this on a graph as sown below:

The area to the right of x = 71 (highlighted in red above) is given by using a Standard z-score table:

Therefore, the area that lies to the right of x = 71 is 0.0228 or 2.28%

Step 1

Given; The client is to receive cimetidine 300mg by mouth every 6 hours. The medication is available as cimetidine 300mg/5ml.

Required; How many teaspoons should the nurse instruct the client to take?

Step 2

Thus, the client takes 300mg every six hours. This means that the nurse will instruct the client to take 1 teaspoon every 6 hours.

Answer;

Answer

Option B is correct.

The slope of this function = -4

Explanation

For a linear function, the slope of the line can be obtained when the coordinates of two points on the line or the values of the linear function (y) at different values of x are known. If the two points are described as (x₁, y₁) and (x₂, y₂), the slope is given as

Using the two extreme points, (x₁, y₁) and (x₂, y₂) are (-4, -2) and (2, -26).

x₁ = -4

y₁ = -2

x₂ = 2

y₂ = -26

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A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of this kind of equation is given by:

For the equation:

We can conclude is not a linear equation since there is a product between two variables.

Given data:

The given money Omar has $84.

The given money maryam has $12.

The expression for the money Omar give to maryam so that maryam will have three times as much as omar.

Thus, the final expression is 3(84-x)=12+x.

Answer:

The line of symmetry is x = -3

Explanation:

Given a quadratic function, we know that the graph is a parabola. The general form of a parabola is:

The line of symmetry coincides with the x-axis of the vertex. To find the x-coordinate of the vertex, we can use the formula:

In this problem, we have:

Then:

a = -1

b = -6

We write now:

For this part, we need to find the x-intercepts. This is, when y = 0:

To solve this, we can use the quadratic formula:

And solve:

Since there is no solution to the square root of a negative number, the function does not have any x-intercept. The correct option is ZERO x-intercepts.

To find the y intercept, we need to find the value of y when x = 0:

The y-intercept is at (0, -13)

Now we need to find two points in the parabola. Let-s evaluate the function when x = 1 and x = -1:

The two points are:

(1, -20)

(-1, -8)

Now, we can use 3 points to find the graph of the parabola.

We can locate (1, -20) and (-1, -8)

The third could be the vertex. We need to find the y-coordinate of the vertex. We know that the x-coordinate of the vertex is x = -3

Then, y-coordinate of the vertex is:

The third point we can use is (-3, -4)

Now we can locate them in the cartesian plane:

And that's enough to get the full graph:

Let d and s be the cost of a double and single- occupancy room, respectively. Since a double-occupancy room cost $20 more than a single room, we can write

On the other hand, we know that 15 double-rooms and 26 single-rooms give $3088, then, we can write

Solving by substitution method.

In order to solve the above system, we can substitute equation (A) into equation (B) and get

By distributing the number 15 into the parentheses, we have

By collecting similar terms, it yields,

Now, by substracting 300 to both sides, we obtain

then, s is given by

In order to find d, we can substitute the above result into equation (A) and get

Therefore, the answer is:

SOLUTION

We will be using the annual compound interest formula to solve this question.

After a down payment of 0.15 x $225,000 = $33750

The principal value will be $225,000 - $33750 = $191250

Put all these values into the compound interest formula above,

we will have:

The mortgage total if they finance the closing costs will be:

$923,297.63

The number 96 is equivalent to the 100%. So we can state the following rule of three:

By cross-multiplying these numbers, we have

So, x is given by

Therefore, the answer is 72