Select the correct answer.
Which of these graphs represents a function?

A. W
B. X
C. Y
D. Z

Answer:

12

Step-by-step explanation:

Using probability, we know that the left-tailed area exists at 17.87%.

So, now calculate as follows:

Using formula:

Substitute the values in the above equation, and we obtain:

Simplifying the equation, we will get:

Finally, by using a table we calculate the left-tailed area:

Therefore, using probability, we know that the left-tailed area exists at 17.87%.

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Complete question:

The average price for a gallon of gasoline in the United States is $3.73 and in Russia, it is $3.40. Assume these averages are the population means in the two countries and that the standard deviation of $.25 in the United States and a standard deviation of $.20 in Russia. What is the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon?

Answer:

3

Step-by-step explanation:

There are 4.5 diamonds, which represent 9 hours in total.

This corresponds to 9/3 = 3 circles.

Answer:

3 circles

Step-by-step explanation:

For the pig, it's 4.5 squares. Each square is two hours, and 4.5*2 is 9. Each circle is 3 hours, and 9 divided by 3 is 3. Therefore, the answer is 3 circles.

There are [tex]700[/tex] children and [tex]1300[/tex] adults.

What is system of linear equations?

A System of Linear Equations is when we have two or more linear equations working together.

Let [tex]x[/tex] be number of children and [tex]y[/tex] be number of adults.

Since [tex]2000[/tex] people enter the zoo then [tex]x+y=2000.[/tex]

The admission fee at a local zoo is $ [tex]1.50[/tex] for children and $ [tex]5.00[/tex] for adults and $[tex]7550.00[/tex] collected then [tex]1.5x+5y=7550[/tex].

Thus there are two linear equations to solve.

Substitute [tex]x=2000-y[/tex]  in  [tex]1.5x+5y=7550.[/tex]

[tex]1.5(2000-y)+5y=7550[/tex]

[tex]3000-1.5y+5y=7550[/tex]

[tex]3000+3.5y=7550[/tex]

[tex]3.5y=7550-3000[/tex]

[tex]3.5y=4550[/tex]

[tex]y=\frac{4550}{3.5}[/tex]

[tex]y=1300[/tex]

So [tex]x=2000-y=2000-1300=700.[/tex]

Therefore there are [tex]700[/tex] children and [tex]1300[/tex] adults.

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The position of N on the line segment is at the -14 mark

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

The complete question is added as an attachment

From the attachment, we have

The ratio is given as:

MN : NP = 7 : 2

Also, we have

Location of M = -27

Location of P = -9

The location of N is then calculated as

N = MN/(MN + NP) * (M - P)

Substitute the known values

N = 7/(7 + 2) * (-27 + 9)

Evaluate the sum

N = 7/9 * -18

Evaluate the product

N = -14

Hence, the location of point N is -14

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Answer: Multiply 7 and 14

Step-by-step explanation: to find the answer you multiply 7 and 14 you get 98$ which is the total cost pls consider making me brainliest if im correct i really hope i am :)) make sure to tell me if im wrong

Answer:

Step-by-step explanation:

Step 1: Assume your variables

We can see that the money is being saved on a weekly basis.

So, let's assume the number of weeks for which the money is being saved to be the variable: [tex]x[/tex]

And let's consider the total cost after [tex]x[/tex] weeks to be: [tex]y[/tex]

Step 2: Manipulate the variables according to the information given

$7 is being saved each week.

So, in one week, [tex]\$7[/tex] is saved.

In two weeks, [tex]\$(7\times 2)[/tex] is saved.

So, in [tex]x[/tex] weeks, [tex]\$(7\times x)[/tex] is saved.

Step 3: Create the equation

In words, the equation will be as such:

Total cost after [tex]x[/tex] weeks = Amount saved in [tex]x[/tex] weeks

Upon representing this mathematically, we get:

[tex]y=7\times x\\y=7x[/tex]

The equation  [tex]y=7x[/tex]  can be used to find the total cost.

Answer:

7 # there were 7 people in the group

Step-by-step explanation:

C = 6.00 + 29.99x # the equation given

215.93 = 6.00 + 29.99x # 215.93 is the total so substitute it for C. Now we solve for x

209.93 = 29.99x # We subtracted 6 from both sides

7 = x # We divided 29.99 from both sides

7 is our answer

Answer:

y-intercept= 12.99      slope= 15.00x+12.99

Step-by-step explanation:

Solution

For this case we have the following, the sum of the angles needs to be 360 since we have a circumference:

10a-4 +6a-2 +8a+6=360

Regrouping we have:

10a +6a +8a -4 -2 +6= 360

24a= 360

a= 360/24= 15

The dimensions width and length are 11 cm and 13 cm, respectively .A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.

Perimeter: 48 cm

The dimensions width and length are consecutive odd integers:

Width: x

Length: x+2

Equation:

2 [(x+2) + x] = 48

Find the width x:

2 [2x + 2) = 48

4x + 4 = 48

4x = 48 - 4

4x/4 = 44/4

x = 11   Width

Find the lenght x+2:

x+2  ⇒ 11+2 = 13   Length

The dimensions:

Width: 11 cm

Length : 13 cm

11 and 13 are consecutive odd integers.

Check:

2 (length + width) = 48

2 (13 + 11) = 48

2 (24) = 48

48 = 48  

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The domain of the given function given range is {1.25, -0.25, 1.25, 4.75}

The range of values that we are permitted to enter into our function is known as the domain of a function.

The x values for a function like f(x) make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of value.

Given the range of the function as {-5, -3, 0, 7}

Determine the domain from the function 4x - 2y = 5

4x - 2y = 5

4x - 2(-5) =5

4x + 10 = 5

4x = 5

x = 5/4 = 1.25

If y = -3

4x - 2y = 5

4x - 2(-3) =5

4x + 6 = 5

4x = -1

x = -1/4 = -0.25

If y = 0

4x - 2(0) =5

4x - 0 = 5

4x = 5

x = 5/4 = 1.25

If x = 7;

4x - 2y = 5

4x - 2(7) =5

4x - 14 = 5

4x = 19

x = 19/4 = 4.75

Therefore the equivalent domain of the function is {1.25, -0.25, 1.25, 4.75}

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It would take 9 Teenagers to finish a very large pizza in $15$ minutes.

From the knowlegde of Propotional method/ subject formular in mathematics;

From the questions:

12 Teens finished a very large pizza in $20$ minutes.

The number of teens to finish a very large pizza in $ 15 minutes would calculate thus,

12 Teens=$20$ minutes.

x Teens=$15$ minutes.

then we cross multiply:

x Teens × $20$ minutes =$15$ minutes × 12 Teens

making  x Teens subject of the formula we have;

x Teens=$15$ minutes × 12 Teens/$20$ minutes

x Teens=9 Teens

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Answer:

y = x + 7

Step-by-step explanation:

The line rises at a slope of 1 and intercepts the y-axis at 7.

Selena needs 4 more hours to prepare 264 more pancakes.

Unitary method is a process of finding the value of a single unit, and use this value to find the value of the required number of units.

Given is Selena made pancakes for an all-day breakfast fundraising event. She made 132 pancakes in 2 hours. Selena needs to make 264 more pancakes.

We have -

The rate at which Selena is making pancakes = 132 pancakes in 2 hours.

Number of pancakes left to be made = 264

Now, in 2 hrs she makes 132 pancakes

Then, in 1 hr she will make (132/2) or 66 pancakes.

Now, she makes 66 pancakes in 1 hour.

So, she will make 1 pancake in (1/66) hours

Therefore, she will make 264 pancakes in (264/66) or 4 hours.

Therefore, she will need 4 more hours to prepare 264 more pancakes.

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Answer:

Step-by-step explanation:

Let L be the length and W the width

Perimeter of a rectangle is P = 2L + 2W

We are told that L = W + 14 (m)        [the length is 14 meters more than the width]

Area of a rectangle is A = L*W

We learn that A = 96 m^2

L*W = 96

Since L = W + 14, we can substitute:

L*W = 96

(W + 14)*W = 96 m^2

W^2 + 14W = 96

W^2 + 14W - 96  = 0

The solution to W in the above equation is 5.04 m

This means L = 5.04 m + 14 m

L = 19.04 meters

Perimeter = 2W + 2L

Perimeter = 2(5.04) + 2(19.04) = 96 m^2

The following table shows how the relation is a function when t is the independent variable and not a function when t is the dependent variable:

t   0   1   2   3   4   5

v   0   1   2   3   4   5

A vertical line drawn from the independent variable axis (x-axis) meets the function graph only once because a function is a relationship between an input and an output in which each input has just one output.

The independent variable is the input, while the dependent variable is the output.

Filling out the table in such a way that when t is the independent variable, the relationship is a function, and when t is the dependent variable, the relation is not a function, results in the following table:

t   0   1   2   3   4   5

v   0   1   2   3   4   5

Given that each value of the independent variable t has a corresponding value of the velocity v, the aforementioned is a function.

However, when t is the dependent variable, the independent variable value of 1 produces two outputs of 1 and 5, which results in the following table:

t   0   1   2   3   4   5

v   0   1   2   3   4   5

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Let's call x to an unknown even integer. The next (consecutive) even integer will be x + 2. For instance, if x = 6, then the next even integer will be 6 + 2 = 8.

In consequence, the sum of two consecutive even integers is:

x + (x + 2)

The correct answer for the given problem is option (D) .

growth rate in the initial population of 1.08.. So, the equation for solving this population growth problem is 10,000(1.08) ²⁰

Before twenty years, the actual population was 10,000.

Population growth per year = 8% = ((100+8)10,000)/100=10,800.

So, there will be an addition of 800 people to the population every year.

After a period of twenty years, the total population was 10,000 + 19×(800) = 25,200.

Population for t years = (Initial Population)× (Growth or Decay Rate)×time

Using the above population increment formula,

Time( in years) ----->Population

0------>10000

1------->10000 (1.08)

2------->10000(1.08)(1.08)

3------->10000(1.08)(1.08)(1.08)

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

n ----->10000(1.08)

Here, we are required to have a population after 20 years, i.e., n= 20. The required equation, which is used for solving population growth problem, is 10000(1.08)²⁰

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P(A) = P(6) = 0.003

answer: 0.003

We will investigate how to use ratios to determine the actual distance between cities as per defined scale.

We are given a scale conversion ( ratio ) at which distances are scaled down:

We will use the given scale ratio to determine the actual distance between two citites. The scale distance between Hawthorne and Doyelstown can be read.

Now utilize the scale conversion ratio to determine the actual distance:

Therefore, the distance between Hawthorne and Doylestown is:

Answer:

3.75x + $119 = $400.25

x  = $75

Step-by-step explanation:

Lauren needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $119 for parts. The total was $400.25. Write and solve an equation which can be used to determine a, the cost of the labor per hour.

3.75x + parts = $400.25

so:

3.75x + $119 = $400.25

subtract $119 from both sides:

3.75x + $119 - $119 = $400.25 - $119

3.75x = $281.85

divide both sides by 3.75

3.75x/3.75 = $281.85/3.75

x = $75

so the tech charged $75 per hour.

Answer:

153

Step-by-step explanation:

x+27=180

x=180-27

x=153

We want to find the places where the line

2x - 3y = 12

intercepts y-axis and x- axis

When the line intercepts y axis, we know that x=0, we replace it in the equation so we can find y value:

2x - 3y = 12

↓

2 · 0 - 3y = 12

↓

0 - 3y = 12

-3y = 12

y = 12 / -3

y = -4

In the same way, we find the interception with x- axis when y = 0. We find the value of x replacing y by 0 in the equation:

2x - 3y = 12

↓

2x - 3 · 0 = 12

↓

2x - 0 = 12

2x=12

x = 12 / 2

x = 6

We locate both points: y = -4 and x = 6:

Finally, we join the points with a straight line

Answer: 6 [tex]\frac{17}{18}[/tex] gallons of gas left in the car

Step-by-step explanation:

   Upon further clarification, this question reads "3/8 of the gas" and not "38 of the gas."

     If Tom's car has 11 1/9 gallons of gas, and we want to know how much gas the car will have left if he uses 3/8 of that, we first need to find 3/8 of 11 1/9.

     "Of" can usually be written as multiplication.

3/8 of 11 1/9 = 3/8 * 11 1/9 = 4 1/6

     Next, we will use subtraction since he uses 4 1/6 gallons of gas.

11 1/9 - 4 1/6 = 6 17/18 gallons

Step-by-step explanation:

You can add the two fractions by turning 1/2 and 5/6 to have the same denominator. Turn 1/2 into a fraction with a denominator of 6. That simplifies to 1 1/3. Hope this helps yo

The △ABE is congruent to △CDE (△ABE ≅ △CDE) under AAA, ASA, SSS, and SAS conditions.

So, △ABE ≅ △CDE:

Therefore, the △ABE is congruent to △CDE (△ABE ≅ △CDE) under AAA, ASA, SSS, and SAS conditions.

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The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

The equation y = mx + b, where y is the y-coordinate, denotes a linear function. m represents the line's slope, or how steep it is. The coordinate for x is x.

The equation y = mx + b, where y is the y-coordinate, denotes a linear function.

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Using the Pythagorean Theorem formula, the measurement of the unknown side (base) is 12 units.

According to the Pythagorean Theorem formula, c² = √a²+b², where c = hypotenuse, a = perpendicular, and b = base.

The hypotenuse is the longest side of a right triangle.

The shortest side is the perpendicular (adjacent side) while the other side is the base (opposite side).

Since the hypotenuse is given as equal to the square root of perpendicular squared and the base squared, we can compute the base, unknown side, using the following Pythagorean Theorem formula.

c² = √a²+b²

The perpendicular (shortest side) of a right triangle = 5

The hypotenuse (longest side) = 13

c² = √a²+b²

169 = √5²+b²

169 = √25 + b²

The base (unknown side):

b² = 169 - 25

b² = 144

The square root of √144 = 12

b = 12

Thus, the unknown side of the right triangle is the base, measuring 12 units.

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The length of the unknown side is 12 units, which is the base of the right triangle.

The right triangle's perpendicular (shortest side) = 5 units

The right triangle's hypotenuse (longest side) = 13 units

According to the Pythagorean Theorem,

H² = P² + B², Where H = hypotenuse, P = perpendicular, and B = base.

As per the given question, here H = 13 and P = 5

Substitute the values of H = 13 and P = 5 in the Pythagorean Theorem,

(13)² = (5)²+ B²

169 = 25 + B²

B² = 169 - 25

B² = 144

B = √144

B = 12 units

Therefore, the length of the unknown side is 12 units,

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