A raffle has 1,000 tickets, and each costs $19. One ticket will win a $940 prize. The remaining tickets will win nothing. If you buy a ticket, what is the expected profit?

Using the percentage concept, it is found that 51% of 10th graders surveyed preferred robotics, hence option B is correct.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

\(P = \frac{a}{b} \times 100\%\)

In this problem, we have that 33% out of 65% of the students are 7th graders who preferred robotics, hence the percentage is given by:

\(P = \frac{33}{65} \times 100\% = 51%\)

Which means that option B is correct.

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Answer:

It's A. 61% The dude above me is wrong.

Step-by-step explanation:

I just took the test

Answer:

Step-by-step explanation:

The null hypothesis is described as the default hypothesis while the alternative hypothesis us always tested against this null ie the opposite of the null hypothesis.

In this case study, Let the proportion of houses that have home security be p

Thus, the null hypothesis is proportion of houses that have home security is 45% : p = 45%

The alternative hypothesis is proportion of houses that have home security is different than 45%: p =/ 45%

Answer:

The different possibilities that exist for the number of credits Laxman can take to be considered a full-time student at BYU-Idaho are 10.

Step-by-step explanation:

The least credit a student can take in a semester is 12 credits.  The maximum allowed credits in a single semester is 21.

Therefore, Laxman can choose to take from 12 to 21 credits.

Laxman can take 12, 13, 14, 15, 16, 17, 18, 19, 20, or 21 credits.  This is equal to {(21 - 12) + 1} = 10.

Laxman cannot take 11 credits and he cannot take 22 credits and there are no part-credit classes, so he is limited to 10 options.  Depending on the credit load of courses, he can combine them to achieve or not exceed 21 credits and they must not be below 12 credits.

The number of different possibilities that exist for the number of credits Laxman can take to be considered a full-time student is; 10 different possibilities.

We are told;

Minimum number of credits a full time student can take = 12 credits

Maximum number of credits a full time student can take = 21 credits

This means a full time student can take total credits from 12 credits to 21 credits.

Thus, possible credits a student can take are;

12, 13, 14, 15, 16, 17, 18, 19, 20, 21 credits.

This is a total of 10 possibilities of number of credits a full time student can take.

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The percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR is 31.0%. (Option A)

To calculate the  percent decrease, we can use the following formula.

Percent decrease = ( (30-year factor -   15-year factor) / 30-year factor) x 100

Substituting the values from the chart.  

= (($ 6.65 - $8.71) / $6.65) x 100

= ( -$ 2.06 / $6.65) * 100

= -0.309 *  100

Percent decrease ≈ - 30.9 %

Since the question asks for the percent decrease as a positive value, we take the absolute value of the result which is

Percent decrease ≈ 31%

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Using the normal distribution, there is a 0.0781 = 7.81% probability that a randomly selected cyclist will take between 2.35 and 2.45 hours to complete the race.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 2.5, \sigma = 0.5\).

The probability that a randomly selected cyclist will take between 2.35 and 2.45 hours is the p-value of Z when X = 2.45 subtracted by the p-value of Z when X = 2.35, hence:

X = 2.45:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{2.45 - 2.5}{0.5}\)

Z = -0.1

Z = -0.1 has a p-value of 0.4602.

X = 2.35:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{2.35 - 2.5}{0.5}\)

Z = -0.3

Z = -0.3 has a p-value of 0.3821.

0.4602 - 0.3821 = 0.0781.

0.0781 = 7.81% probability that a randomly selected cyclist will take between 2.35 and 2.45 hours to complete the race.

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Answer:

\(\huge\boxed{\sf \frac{2\sqrt{7}-4 }{3}}\)

Step-by-step explanation:

This is a rationalizing denominator question.

\(= \displaystyle \frac{2}{2+\sqrt{7} } \\\\Multiply \ and \ divide \ by \ conjugate \ 2 - \sqrt{7} \\\\= \frac{2}{2+\sqrt{7} } \times \frac{2-\sqrt{7} }{2-\sqrt{7} } \\\\\underline{\sf Using \ formula:}(a+b)(a-b)=a^2-b^2\\\\= \frac{2(2-\sqrt{7}) }{(2)^2-(\sqrt{7})^2 } \\\\= \frac{4-2\sqrt{7} }{4-7} \\\\= \frac{4-2\sqrt{7} }{-3} \\\\= \frac{-(4-2\sqrt{7}) }{3} \\\\= \frac{2\sqrt{7}-4 }{3} \\\\\rule[225]{225}{2}\)

Answer:

C: EAF Is the correct answer

Answer:

-5 33333333333/100000000000

Step-by-step explanation:

Answer:

-5 3333333/10,000,000

Step-by-step explanation:

all u have to do is divide 5.33333333333 by how much the places there are

Answer:

In 2022, the town's population is 2220.

Step-by-step explanation:

It currently the year 2022. Hence, 22 years have passed since 2000.

2022 − 2000 = 22

To solve for the town's population today, first multiply the years passed since 2000 by the percent decrease each year.

\(22 \, \textrm{years} \times \dfrac{3.2 \, \%}{\textrm{year}} = 70.4 \, \%\)

Then, subtract that percent of the population in 2000 from the population in 2000.

\(7500-(70.4 \,\% \cdot 7500)\)

\(= 7500 - 5280\)

\(=2220\)

Answer:

15%

5%

24%

40%

32%

80%

32%

54%

60%

66%

9%

89%

Step-by-step explanation:

The number of students who voted is 240.

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.

The number of students who voted = number of votes Sari received / percentage number

60 / 0.25 = 240

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Answer:

\((2 + 6)2 = 16\)

.....

....

.....

....

Answer:

2 - 2 * 3 2 - 6 equal to -4

By using Pythagoras theorem we get the height of the roof of dog house is 21 inches.

The Pythagoras theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. 

This theorem is named after the Greek philosopher Pythagoras, who lived around 570 BC. born. 

According to the question:

Given, Hypotenuse(h) = 29 inches

           Base(b) = 40/2 = 20 inches

Using Pythagoras theorem, we get

h² = b² + p²

⇒ 29² = 20² + p²

⇒ p² = 29² - 20²

⇒ p² = 841 - 400

⇒ p² = 441

⇒ p = √441

⇒ p = 21

∴ The height of the roof of dog house is 21 inches.

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Answer:

the value of X is 10x

Step-by-step explanation:

Answer:

slope = 0.06

cost of plan = $45.44

Step-by-step explanation:

 cost of plan*

Answer:

Step-by-step explanation:

183,883,72

Answer:

18388372

Step-by-step explanation:

1 )Use the algorithm method.

      3 2 1 7

×              5      7      1      6

        1      1       1      4                      

        1      9      3      0     2            

        3 2  1  7 0

  2 1  1     4  

  2 2 5    1       9      0     0

1  1     3

1  6 0 8   5       0      0     0

      1  1    1

1  8 3 8   8       3       7     2

2 )Therefore, 3217 × 5716 = 18388372.

18388372

Answer:

C is the answer

Step-by-step explanation:

All you have to do is plug 12 in for x and 4 in for y

3(12) + 5(4) = solve

36 + 20 = 56

Hope that helps

These are the answers!

Number 6 is x≤3

Number 2 is x≥10

Number 3 is x>26

Number 5 is x>−2

Answer:

1/5

Step-by-step explanation:

The Constraint is ; those who rode the bus, hence it is conditional because we aren't focused on students, only students who rode the bus.

Now we want the frequency of those who were late Given that they rode the bus : for these we have 3 students

Total number of students who rode the bus , total possible outcome = 15

Hence, the conditional frequency = (number who rode bus and were late / otal number who rode the bus)

Hence, we have ; 3 / 15 = 1 / 5

Tally won the dirt throwing game and his score was 1.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

From the given information, The score of Tally is,

= 3×2 - 3×3 + 4×1.

= 6 - 9 + 4.

= 1.

The score of Awasin is,

= 4×2 - 4×3 + 2×1.

= 8 - 12 + 2.

= - 2.

So, Tally won the game and his score is 1.

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Answer:

x = 16

Step-by-step explanation:

subtract 12 from both sides to isolate the variable and its coefficient

4x = 64

divide both sides by 4 to get x

x = 16

Answer:

x = 16

Step-by-step explanation:

4x+12=76

Step 1: Subtract 12 from both sides.

4x + 12 - 12 = 76 - 12

4x = 64

Step 2: Divide both sides by 4.

\(\frac{4x}{4} = \frac{64}{4}\)

x = 16

Answer:

x^7

Step-by-step explanation:

The quotient rule for exponents states that when exponents with the same base are divided, we can simply subtract the exponents to simplify the expression.

Therefore, x^14 ÷ x^7 = x^(14-7) = x^7

\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)

Answer:

Degree: 4; Type: quartic; Leading coefficient: 1

Step-by-step explanation:

Note that the notation   "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.

∪C : This represents the  union (∪) of the sets in C.

{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.

It states that an element x belongs to the union of   sets in C if and only if x belongs to at least one set S that is an   element of the set C.

= ∪{ S:S ∈ C}   : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.

In summary,  the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.

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To simplify the expression -2 - x, we can combine the constant term (-2) with the variable term (-x).

So, -2 - x simplifies to -2x - 2.

Let's simplify the expression -2 - x step by step:

Step 1: Start with the given expression: -2 - x.

Step 2: To simplify, we combine like terms. In this case, we have a constant term (-2) and a variable term (-x).

Step 3: Combine the constant term (-2) with the variable term (-x) by subtracting x from -2. This gives us -2x.

Therefore, the simplified expression is -2x.

In summary, -2 - x simplifies to -2x.

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