Percentage=(fuel consumed/ full fuel capacity) *100%

=(130000/200000)*100%

=65%

=(130000/200000)*100%

=65%

Ahmad gives his friend Juana a lottery ticket for her birthday. The ticket cost Ahmad $1, and the back of the

ticket says, "The overall odds of winning a prize with this ticket are 1 : 50, and the expected return for this

ticket is $0.50.6000000

Ahmad says, "lf 1,000 people each bought one of these tickets, they'd have spent $1,000 in total and get back

about $5,000."

Juana says, "The probability that one of these tickets wins a prize is 0.50, on average."

Whose statement is correct based on the expected value?

Choose 1 answer:

Only Ahmad's

Only Juana's

Both statements are correct.

Neither statement is correct.

According to the information provided the statement of both people is **incorrect **(option D)

Ahmad's statement is false because he claims that in the situation where 1000 people spend $ 1000 on lottery tickets they would get back $ 5000. However, the **recovery would **be $ 500 This statement can be verified by doing the following **operation**:

0.50 x 1000 =

On the other hand, Juana's statement is false because she says that people who buy a lottery ticket have a probability of winning of 0.50 on average. However, the **true probability **is 0.02. This statement can be checked by doing the following operation:

1 ÷ 50 =

According to the above, **none **of the **statements **of the characters is **true**.

Learn more about **mathematics **in: https://brainly.com/question/19003099

**Answer:**

Neither statement is correct

**Step-by-step explanation:**

Got it right on Khan Academy

What is the measure of angle A in the triangle below? 30° 45° 60° 90°

Ok done. Thank to me :>

Does (3, -50) make the equation y = -8x true?

Hey there!

y = -8x

→ -50 = -8(3)

→ -8(3) = -50

→ -8(3) = -24

→ -24 ≠ -50

Yes and no but mainly no because -24 doesn’t equal -50 (the y-intercept)

Answer: NO

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

What is the constant in the expression below?

-6a2 + 4a - 3

A) -6

B) 2

C)4

D) -3

The answer is D) -3 Hope this help

NEED HELP PLS

Use point-slope form to write the equation of a line that passes through the point (-14, -17) with slope 1.

**Answer:**

point-slope form: y-y1=m(x-x1) -> m=slope, (x1, y1) = coordinates of a point

point = (-14,-17) -> x1=-14, y1=-17

slope = 1 -> m=1

y-(-17)=1*(x-(-14)

y+17=1(x+14)

you don't need the *1 but some teachers are picky about that

**Answer:**

y + 17 = 1 ⋅ ( x + 14 )

**Step-by-step explanation:**

i think... trust someone else because i'm not 100% sure..

Convert 27 inches to feet in dimensional analysis .

**Answer:**

2.25 feet.

**Step-by-step explanation:**

Formula: divide the value in inches by 12 because 1 foot equals 12 inches.

So, 27 inches = 27 /12 = 2.25 feet.

f(x)=x^2-12x+20

a. f(0) = ?

b. f(2) = ?

c. f(x) = 0,x = ?

d. f(x)= 9,x = ?

**Answer:**

c . f(x)=0,x=????????????

b) How fast should a boy of 40kg mass run so that the kinetic energy becomes 800J?

**Answer:**

v = 6.32 m/s

**Step-by-step explanation:**

**Given Data:**

Mass = m = 40 kg

Kinetic Energy = KE = 800 J

**Required:**

Speed = v = ?

**Formula:**

[tex]\displaystyle KE = \frac{1}{2} mv^2[/tex]

**Solution:**

Rearrange the formula for speed

[tex]\displaystyle v =\sqrt{\frac{2KE}{m} } \\\\Put \ values\\\\v = \sqrt{\frac{2(800)}{40} } \\\\v = \sqrt{2(20) } \\\\v = \sqrt{40} \\\\\boxed{v = 6.32 \ m/s}\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807After the math contest, Basil noticed that there were four extra-large pizzas that were left untouched. In addition, another three slices of pizza were uneaten. If there were a total of 51 slices of pizza left, how many slices does an extra-large pizza have

s = number of slices for a large pizza

so if "s" is the number of slices in 1 large pizza, the total for 1 pizza will just be 1s, for two pizzas will be 2s and so on, so for 4 pizzas the total will just be **4s**.

we also know there were an extra 3 slices, and we also know that whatever 4s is plus 3 will give us the total of 51 slices of pizza.

[tex]4s + 3 = 51\implies 4s = 48\implies s = \cfrac{48}{4}\implies \boxed{s = 12}[/tex]

Hello hello there help

**Answer:**

**Step-by-step explanation:**

A translation 1 unit left and 2 units down :)

Answer:

1 unit to the left and 2 units down.

1 unit to the left and 2 units down.

Stacy started a banking account with $150 and is spending $7 per day on lunch. This situation models which type of function?

ОООО

linear function

quadratic function

exponential function

None of these choices are correct.

**Answer:**

Linear

**Step-by-step explanation:**

She is spending the same amount per day, so it is linear

59) Two times a number added to another number is 25. Three times the first number minus the other number is 20.

Find the two numbers.

[tex]\huge \bf༆ Answer ༄[/tex]

Let the first number be x and second one be y !

Here's the Expressions representing the above scenario ~

[tex] \sf2x + y = 25[/tex][tex] \sf3x - y = 20[/tex]If we add these two equations we will get ~

[tex] \sf2x + y + 3x - y = 25 + 20[/tex][tex] \sf5x = 45[/tex][tex] \sf x= 45 \div 5[/tex][tex] \sf x = 9[/tex]Now, plug the value of x in first equation ~

[tex] \sf2x + y = 25[/tex][tex] \sf(2 \times 9) + y = 25[/tex][tex] \sf18 + y = 25[/tex][tex] \sf y = 25 - 18[/tex][tex] \sf y = 7[/tex]Therefore, the first number is x = 9 and the second number is y = 7

If 18 is subtracted from twice the square of an integer, the result is equal to nine times the integer. What is the value of the integer?

**Answer:**

6 or -1.5

**Step-by-step explanation:**

We can let this integer be x.

Therefore, according to the question we have:

[tex]2x^2-18=9x[/tex]

Subtracting 9x, we have a quadratic:

[tex]2x^2-9x-18=0[/tex]

Plugging into the quadratic equation:

[tex]\frac{9+\sqrt{81+144}}{4}, \frac{9-\sqrt{81+144}}{4},[/tex]

the square root of 81+144 is 15, so the answer is either 6 or -1.5

Single choice question

The expression 24(1−x) gives the discounted price of a pair of shorts, where x is the percent of the discount written in decimal form.

What does 1−x represent in the expression?

A. Discount price of the shorts.

B. Original price of shorts.

C. Percent of discount.

D. Percent of original price being paid.

**Answer:**

D

**Step-by-step explanation:**

Because the discount price is the whole equation 24(1-x),

the original price is 24 technically, and the percent of discount has been given as x...

please help w math…

**Answer:**

x= -3 and 0

**Step-by-step explanation:**

Where the function crosses the x axis, or y=0

Help as soon as possible

fish A is 2 inches and fish B is 4 inches

plssss help, need major help with the second question // 25 points

**Answer:**

22

**Step-by-step explanation:**

9 + 8 + 14 = 22

I hope this helps!

Judith is getting older and feels like she should donate her collection of stuffed animals to children who are less fortunate. She has 16 stuffed cats and 8 stuffed dogs, which she wants to divide into identical groups, with no stuffed animals left over. What is the greatest number of groups Judith can place her stuffed animals into?

**Answer:iojoenckcnurmum**

**Step-by-step explanation:**

Put the numbers in order from least to greatest: -2.15,-9/4,2,-2,-15/7

-9/4 < -2.15 < -15/7 < -2 < 2

HELP PLS ANSWER IT FR FR

A The results of a survey question “How many minutes does it take you to eat breakfast?” are shown. Which of the following charts represents the given data?

**Answer:**

Chart A

**Step-by-step explanation:**

Pls help!! What is the equation for the line in slope-intercept form

**Answer:**

y = -4x + 9

**Step-by-step explanation:**

using any two points, in this case (0, 5) and (3, -7) you can find slope by using this formula: [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

plug in the x- and y- values of the two points above

[tex]m=\frac{-7-5}{3-0}=\frac{-12}{3}=-4[/tex]

y = -4x + b

use any point of the line and plug it into the equation above

5 = -4(0) + b

5 = -4 + b

5 + 4 = -4 + b +4

9 = b

the equation in full is y = -4x +9

[tex]\sf 3x+6y=12[/tex]

**Answer:**

[tex]3x + 6y = 12[/tex]

[tex]3x + 6y - 6y = 12 - 6y[/tex]

[tex]3x = 12 - 6y[/tex]

[tex] \frac{3x}{3} = \frac{12}{3} - \frac{6y}{3} [/tex]

[tex] \frac{3x}{3} = 1 = x[/tex]

[tex] \frac{12}{3} - \frac{6y}{3} [/tex]

[tex] = \frac{12 - 6y}{3} [/tex]

[tex] = \frac{6(2 - y)}{3} [/tex]

[tex] \frac{6}{3} = 2[/tex]

[tex] = 2( - y + 2)[/tex]

[tex]x = 2( - y + 2)[/tex]

**Answer:**

x=2(3-y)

**Step-by-step explanation:**

3x+6y=12

x+2y=4

x=4-2y

=2(2-y)

Read the below scenario and then answer the questions that follow. The Ancestry Society of North Carolina is compiling records so they can learn about the history of African Americans in North Carolina from 1820 to 1980. They have complied records of all 15,125 gravestones in cemeteries across all 15 counties. They want to choose a sample of 600 records to check their accuracy by visiting the actual gravestones.

a) Using the hat method explain how they could gather a simple random sample of 600 gravestones to visit.

b) Explain why it would be better to take a sample 40 gravestones from all 15 counties.

c) For what population could they make inference about after gathering and examining the sample?

Using the **hat method **they can randomly choose the **tombstones **they are going to visit in each county, the best option is to visit **40 tombstones** in each **county **so that it is the same number of tombstones analyzed in each county. This study will benefit the **residents **of these counties because the information is **specific **to **them**.

When conducting **research**, it is sometimes necessary to take **samples **to analyze and study and obtain a **result**. In the situation presented there are a large number of **tombstones **to study, however it is **difficult **for researchers to visit each of the tombstones.

Therefore, the best option is to take a **sample**, that is, to study a small **proportional **part of the tombstones to obtain an **estimated **result of the study. The best way to do this is by taking the **same number **of samples in each county.

Additionally, the **information resulting **from this study will directly impact the residents of these counties because they are **issues **related to their **past **and their **evolution **through the years, especially the **African American **population.

Learn more about **research **in: https://brainly.com/question/1596108

The area of the rectangular roof on a dollhouse is 756 square inches. The length of the roof is 108 inches. How many inches wide is the roof?

**Answer:**

7 inches

**Step-by-step explanation:**

756÷108=7

that's about it, but I just divided the area and length.

A television is advertised as having a 65-inch measurement. Brenan measures the width of the television while at the store and finds that it is 57 inches wide.

If the space where Brenan plans to hang the television is 32 inches high, will he have enough vertical space to hang the 65-inch television?

**Answer: the answer would be C**

**Yes, the television is approximately 8 inches shorter than the space.**

**Step-by-step explanation: My name is Ebenezer Haile**

75° b Arrange the three side lengths in increasing order. 350 c [?]

**Answer:**

a < b < c

**Step-by-step explanation:**

The side opposite the larger angle measure is the longer side.

The side opposite the smallest angle measure is the shortest side.

The sum of the three angles = 180° ; (75° + 35° + ? = 180°). The missing angle is 70°

The angles in order from the smallest to the largest:

35° < 70° < 75°

The side for the shortest to the largest

side opposite 35° is a

side opposite 70° is b

side opposite 75° is c

Answer a < b < c

Correct option is C)

Using angle sum property in △ABC

∠A+∠B+∠C=180

∘

⇒50

∘

+60

∘

+∠C=180

∘

⇒∠C=70

∘

In any triangle side opposite to the largest angle is the longest side.

Here ∠C is largest and side opposite to it is AB

∴AB is the longest side.

Then comes ∠B and side opposite to it is AC

∴AC is the second longest side.

Then comes ∠A and side opposite to it is AC

∴BC is the shortest side.

So the increasing order of sides is

BC

Using angle sum property in △ABC

∠A+∠B+∠C=180

∘

⇒50

∘

+60

∘

+∠C=180

∘

⇒∠C=70

∘

In any triangle side opposite to the largest angle is the longest side.

Here ∠C is largest and side opposite to it is AB

∴AB is the longest side.

Then comes ∠B and side opposite to it is AC

∴AC is the second longest side.

Then comes ∠A and side opposite to it is AC

∴BC is the shortest side.

So the increasing order of sides is

BC

If 3 basketball game tickets and 4 football game tickets were purchased for $50.25, and if 5 basketball game tickets and 5 football game tickets were purchased for $71.25, what are the costs of basketball game tickets and football game tickets?

**Answer:**

Basketball: $6.75

Football: $7.50

**Step-by-step explanation:**

lmk if you want an explanation

The **costs** of basketball game **tickets **and football game tickets are $7.5 and $6.75 **respectively**.

It is defined as the **relation **between two **variables**, if we plot the **graph** of the linear equation we will get a straight line.

If in the** linear **equation, one **variable **is present, then the **equation **is known as the linear equation in **one **variable.

It is given that:

If 3 basketball game tickets and 4 football game tickets were **purchased** for $50.25, and if 5 basketball game tickets and 5 **football **game tickets were purchased for $71.25.

The linear **equation **can be framed:

3x + 4y = 50.25

5x + 5y = 71.25

Here x is the **cost **of basketball game tickets and y is the football game ticket.

After solving the above **linear **equation by **substitution **method,

5([50.25 - 4y]/3) + 5y = 71.25

y = $6.75

x = $7.5

Thus, the **costs** of basketball game **tickets **and football game tickets are $7.5 and $6.75 **respectively**.

Learn more about the **linear equation **here:

brainly.com/question/11897796

#SPJ5

Statsssssssssssssssssssssssssssss

the answer is b = 6.

Why is cube root of 9 equal to 9 to the one third power question mark

**Answer:**

3

just because

**Answer:**

See below

**Step-by-step explanation:**

[tex]\sqrt[3]{9}=9^{\frac{1}{3}}[/tex]

[tex](\sqrt[3]{9})^3=(9^{\frac{1}{3}})^3[/tex]

[tex]9=9^{\frac{1}{3}*3[/tex]

[tex]9=9^\frac{3}{3}[/tex]

[tex]9=9^1[/tex]

[tex]9=9[/tex]

Remember that [tex](a^b)^c=a^{b*c}[/tex]

y=(x^4)-(6^3)+(50x^2)+122x=65

find the zeros

Answer: I worked at the pizza place in Chucky cheese since i was little. I grew up and became manager. Then i sabotaged everyone there. I’m gonna cry right now . miss that job so much. I think I might….

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