A gas station offers a lucky draw to customers.
each time you spend more than $20 on gas, you can make a draw to win a prize.
the probability of winning a prize is 1/12
suppose you buy gas 4 times. what is the probability of you winning a prize each time?

Answer:

-24 + (-55) = -79

Step-by-step explanation:

-4x+6+11x - 5​

Step-by-step explanation:

[tex] = x + 6 + 11x - 5[/tex]

Organize the expression....

[tex] = x + 11x + 6 - 5[/tex]

Simplify the expression...

[tex] = 12x + 1[/tex]

...

Answer:

56.549 feet

Step-by-step explanation:

Diameter. ft in m

18′0″ 56.55. 678.6 17.24

18′1″ 56.81.

18′2″ 57.07. 684.9

18′3″ 57.33. 688.0

18′4″ 57.60. 691.2

18′5″ 57.86. 694.3 17.64

18′6″ 58.12. 697.4 17.71

18′7″ 58.38 700.6 17.79

18′8″ 58.64 703.7 17.87

18′9″ 58.90. 706.9 17.95

18′10″ 59.17. 710.0 18.03

18′11″ 59.43. 713.1 18.11

Answer:

5/8

Step-by-step explanation:

The amount of force that is required to lift the rock if the distance from the fulcrum is 6 feet is 10 lb of force.

Based on the given graph, we can see the curve passing through the point (1.5,40), (2,30), (2.5,24), (3,20), and (4,15).

These points satisfy by the equation

y= 60/x

and,

If we input the value of x into the equation,

y= 60/6

= 10 lbs of force.

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Answer:

Keep it simple: answer 10

Step-by-step explanation:

Answer:

a = 84/14

Step-by-step explanation:

The next step you would divide by 14 to get a=6 so I think the program wants you to input a = 84/14

Answer:

54.59

Step-by-step explanation:

carry the 10 over and 1-.41 is .59

If the height of a right triangular prism is 1 5/6 inches. The surface area of the solid formed is: 598.33 in².

First step

Right triangular prism=1 5/6 inches= 11/6 inches

Height of the base=8 2/3 inches = 26/3 inches

Second step

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

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The graph can be seen at the end, and the piecewise function for the part above the x-axis is:

f(x) = x^2 - 4 if  x ∈ (-∞, -2] or x ∈ [2, ∞)

f(x) = 4 - x^2 if x  ∈ (-2, 2).

First, we need to graph both functions, so we can see when each one is positive, the graphs of:

y = x^2 - 4

y = 4 - x^2

Can be seen at the end.

So, the first function is positive in the interval (-∞, -2] and [2, ∞), and the second function is positive in the interval (-2, 2)

So for the part of the function above the x-axis we have a piecewise function:

f(x) = x^2 - 4 if  x ∈ (-∞, -2] or x ∈ [2, ∞)

f(x) = 4 - x^2 if x  ∈ (-2, 2).

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Answer:

y= |x^2-4|

Step-by-step explanation:

Once you graph y=x^2-4 and y=4-x^2, you will get a graph like the first picture. The equation for the parts above the x-axis would be y=|x^2-4| and would graph like the second picture.

Part A

y-intercept: 3

It represents that after 0 months practice, the number of matches won is 3.

Part B

slope intercept form: y = mx + b

Here to find slope,

take two points: (5, 12), (0, 3)

[tex]\sf slope: \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{rise}{run}[/tex]

[tex]\rightarrow \sf slope = \dfrac{3-12}{0-5} = 1.8[/tex]

Equation:

y - y1 = m(x- x1)

y - 12 = 1.8(x - 5)

y = 1.8x - 9 + 12

y = 1.8x + 3

To find Matches won after 13 months

insert x = 13

y = 1.8(13) + 3

y = 26.4 ≈ 26 matches

The team could have won 26 matches after 13 months practice.

Answer:

See below ~

Step-by-step explanation:

Part A :

Part B :

Forming the equation :

Predicting how many matches can be won with 13 months of practice :

The variance of the data set is 0.43.

The variance is used to measure the spread or the dispersion of a dataset using all the data points in the dataset. The variance is the sum of the squared difference between the data point and the mean.

The first step is to determine the mean: (0.40 + 0.72 +  1.15 + 2.14) / 4

= 4.41 / 4= 1.10

The second step is to subtract the mean from each of the data point and square the difference:

Add the sum of the squared differences and divide by 4 : 1.7125/4 = 0.43

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Answer:

15) A

Step-by-step explanation:

4x-2 + 7x + 17 = 180

11x + 15 = 180

11x = 165

x = 15

Because the two angles (4x-2 and 7x+17) are linear, we can say that they add up to 180 degrees.

4x-2+7x+17 = 180   Now, simplify like terms

11x + 15 = 180

11x = 165

x = 15

Thus, the value of x would be 15 (choice 1)

Answer:

Step-by-step explanation:

How do you tell if a relation is a function using domain and range?

Find the domain by listing all the x values from the relation. Find the range by listing all the y values from the ordered pairs. Repeated values within the domain or range don't have to be listed more than once. In order for a relation to be a function, each x must correspond with only one y value.

which means

There is not a function

because the domain value 10 is paired with both and 10 and 1

and the domain is 10,26,40,56

Answer:

6/63

Step-by-step explanation:

To find the probability in fraction form you must first add all the evidence together and then use that number as the denominator

Answer:

2/21

Step-by-step explanation:

There were a total of 7+6+12+19+19=63 spins, 6 of which blue.

So, you can make the fraction 6/63=2/21 to represent the probability of the spinner landing on blue the next spin

Hi Student!

The first step that we need to take before trying to solve the problem is that we need to take out important information from the problem.  The first important piece of information that is given to us is that we are trying to find an equation of a line that is parallel to a different line.  This means that our slope is going to be the same as the initial line given.  The second piece of information that is given is a point through which our line passes through which will help us greatly when solving for our line.

The next step that we must take is to solve for y in the given equation so we can see what the slope is.

Subtract 6x from both sides

Divide both sides by 5

Now that we have completely solved for y, we can see that the slope is -1.2 using the y = mx + b formula which states that m is the slope.

Moving onto the next step, we must use the point-slope formula to determine what the new equation is that has the same slope and passes through (-4, -2).

Insert the Values

Simplify the Equation

Distribute the Equation

Subtract 2 from both sides (to isolate y)

Therefore, our final answer for the equation of the line parallel to 6x + 5y = 1 and that passes through (-4, -2) is y = -1.2x - 6.8.

Answer:

the perimeter is the width added to the length

Answer:

h=3

Step-by-step explanation:

Here's the explanation

Move 10 to the other side

5h=25-10

5h=15

h=15/5

h=3

10+5h=25

10+5h-10=25-10

5h=15

[tex]\frac{5h}{5}=\frac{15}{5}[/tex]

h=3

the answer is 3

Answer:

Step-by-step explanation:

Answer:

I think the full amount was $a18.50

Answer:

47/6cm or [tex]7\frac{5}{6}[/tex]cm

Step-by-step explanation:

FE= [tex]2\frac{2}{3}[/tex]

FA= 5/12

AB= 2/3

CD=2

ED=[tex]1\frac{1}{4}[/tex]

BC= 5/6

All=47/6 or [tex]7\frac{5}{6}[/tex]

Answer:

in fractions

16/18 = 8/9

4/18 = 2/9

Answer:

8/9 and 2/9

Step-by-step explanation:

for 16/18

divide the numerator and denominator by 2 to option it's simplest form

16/18÷2/2 = 8/9

for 4/18

also divide the numerator and denominator by 2 to get the simplest form.

4/18 ÷2/2= 2/9

Answer:

x = 6, y = 0, m = -1
y = mx + b
0 = -1(6) + b
0 = -6 + b
6 = b
y = -1x + (6)

Step-by-step explanation:

^^^
See answer, pretty simple.

So

equation

So equation

The coordinates are

-2,4

-1,1

0,0

1,1

2,4

Answer:

132:198:330

Step-by-step explanation:

You can take the total amount of $660, then divide it by how many parts you have, which is ten. You then get $66, which you can then multiply by the amount for each part of the ratio (2, 3, 5)

Answer:

132$ ,198$, 330&

Step-by-step explanation:

2+3+5=10

2/10×660$

=132$

3/10×660$

=198$

5/10×660$

=330$

Answer:

I can only answer b but I hope it helps

B = £75,400

Explanation:

10% is £6500

6 % is £3900

=£10,400

+the original pay

=£75,400

That is her new salary

Answer:

339.12 cm²

Explanation:

surface area of cone: πr² + πrl

where "r" is radius, "l" is slant height

Here given:

Solve for surface area:

So

TSA

The table shows the correct residual values for the data set regarding the scatterplot is D. A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.

It should be noted that a scatterplot simply means a type of data display which shows the relationship between the variables.

In this case, the table shows the correct residual values for the data set regarding the scatterplot is a 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.

The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.

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Answer:

262 Masks

Step-by-step explanation:

190×0.38=72.2 but there cannot be 0.2 masks so it becomes 72. 190+72=262.

The total number of masks in Emma's collection is 262 Masks.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Emma has a mask collection. she keeps 190 of the masks on her wall, which is 38% of her entire collection.

The total number of masks will be calculated as,

190×0.38=72.2

But there cannot be 0.2 masks so it becomes 72.

Total mask = 190+72

Total mask =262.

Therefore, the total number of masks in Emma's collection is 262 Masks.

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Step-by-step explanation:

[tex]3 \sqrt{3 \:} + \sqrt{3} [/tex]

Simplify,then combine each:

[tex] = 4 \sqrt{3} [/tex]

or

[tex]3 \sqrt{3 \:} + \sqrt{3} [/tex]

=5.196+1.732

=6.928

[tex] \approx6.930[/tex]