A State lottery Sells one and half
million tickets of which 300 are Prize winners. What is the Propability of getting a prize by buying Just One ticket?
​

Answer:

Step-by-step explanation:

We have given that y = and u = . We need to compute the distance from y to the line through u and the origin.To find the distance between a point and a line in two dimensions, we will use the below formula.

d(y, L) = |(y-u) × i| / |i| where u is a point on line L, and i is a unit vector in the direction of the line, perpendicular to the vector joining the point y to the point u.Now, the point u is (2, -3), and the line passes through the origin and u. Therefore, the direction vector of the line is i = u - 0 = u = (2, -3). And the magnitude of i is|i| = √(2² + (-3)²) = √13We need to find the distance from y to the line through u and the origin, so we plug in y into the formula.

d(y, L) = |(y-u) × i| / |i| = |[(x-2)i + (y+3)j] × i| / √13 = |(y + 3)| / √13Therefore, the distance from y to the line through u and the origin is (Simplify your answer).d(y, L) = |(y + 3)| / √13

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Answer:

Step-by-step explanation:

I hope this helps you

Rectangular Prism Volume is

Height. Width. Height

(6.25).(7.5).(8)

375

Answer:

30 red marbles

Step-by-step explanation:

If the ratio is 2 red marbles for every 5 blue marbles then you would add them together to find out how many marbles are in one group.

2+5=7

There are 7 marbles in each group.

Now we have to find out how many total groups there are by dividing the total amount of marbles by the amount in each group.

105÷7=15

There are 15 groups of 7 marbles.

Looking back at the ratio, we know that the 15 groups each have 2 red marbles and 5 blue marbles. So if there is 2 red marbles 15 times (2 marbles in 15 groups) we would multiply.

2×15=30

There are 30 red marbles.

I hope that makes sense.

The statement that you assume direct variation unless stated otherwise is True.

The true statement is that we assume direct variation unless another relationship is stated. Direct variation is a form of mathematical rule in which variables change in a proportional manner. One of the variables changes in relation to the other.

This is the standard way of representing many mathematical equations. So, we assume direct variation unless another relationship between the variables is specified. The formula, y =ks can be used to represent direct variations, and the s in the equation signifies the constant.

Complete Question:

Do you assume direct variation, unless stated otherwise? True or False.

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Answer:

\(m=\frac{-5}{3}\)

Step-by-step explanation:

We want to find the slope between the points (-2,5) and (1,0).

The slope (m) can be found using the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1,y_1)\) and \((x_2,y_2)\) are points.

We are already given the values of the points, but let's label their values to avoid any confusion and mistakes.

\(x_1=-2\\y_1=5\\x_2=1\\y_2=0\)

Now, substitute into the formula.

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{0-5}{1--2}\)

Simplify this to:

\(m=\frac{0-5}{1+2}\)

\(m=\frac{-5}{3}\)

The slope is -5/3.

If the coefficient of determination is 0.94, we can say that ninety-four percent of the total variation of the dependent variable is explained by the independent variable. The correct answer is: ninety-four percent of the total variation of the dependent variable is explained by the independent variable.

This means that there is a strong positive relationship between the two variables. The coefficient of determination, represented as R², measures the proportion of the total variation in the dependent variable that is explained by the independent variable. In this case, an R² of 0.94 indicates that 94% of the total variation in the dependent variable can be explained by the independent variable. The coefficient of determination does not provide information about the direction or strength of the relationship. The correct answer therefore is ninety-four percent of the total variation of the dependent variable is explained by the independent variable.

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Answer:

9:16

Step-by-step explanation:

3^2:4^2=9:16

I hope this helped and have a good rest of your day!

To solve the given initial value problem using Laplace transforms, let's denote the Laplace transform of x(t) as X(s).

1. Take the Laplace transform of the differential equation:
Applying the Laplace transform to each term, we have:
s^2X(s) - sx(0) - x'(0) - 7sX(s) + 7x(0) - 8X(s) = 5/(s^2 + 25)
Substituting the initial conditions, we get:
s^2X(s) - 3s - 4 - 7sX(s) + 21 - 8X(s) = 5/(s^2 + 25)

2. Rearrange the equation to solve for X(s):
Combining like terms, we have:
(s^2 - 7s - 8)X(s) = 5/(s^2 + 25) + 3s + 17

3. Solve for X(s):
To solve for X(s), we divide both sides by (s^2 - 7s - 8):
X(s) = (5/(s^2 + 25) + 3s + 17)/(s^2 - 7s - 8)

4. Find the inverse Laplace transform of X(s) to obtain the solution x(t):

To find the solution x(t), we need to take the inverse Laplace transform of X(s). This can be done using partial fraction decomposition and a table of Laplace transforms.

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Answer:

That would be 14 miles ÷ 6 hours which would be 2.3333 or 2 and 1/3

20 students are selected at random from each grade level, of random sampling within each stratum.

A random sample from each grade level, the survey plan ensures that each grade level is represented in the sample, and that the sample is likely to be representative of the entire school population.

The survey plan described in the question is a combination of two different sampling techniques:

stratified sampling and random sampling.

Stratified sampling involves dividing the population into subgroups, or strata, based on certain characteristics that are relevant to the research question.

The population is divided by grade level, which is likely to be a relevant factor when it comes to determining student support for the student-council president.

The purpose of stratified sampling is to ensure that each subgroup is represented in the sample in proportion to its size in the population.

This helps to minimize sampling bias and increase the precision of the estimates obtained from the sample.

Once the population is divided into subgroups, random sampling is used to select a sample from each stratum.

Random sampling involves selecting individuals from the population in such a way that each individual has an equal chance of being selected.

This helps to ensure that the sample is representative of the population and that any estimates obtained from the sample are unbiased.

In this survey plan, 20 students are selected at random from each grade level, which is an example of random sampling within each stratum.

By selecting a random sample from each grade level, the survey plan ensures that each grade level is represented in the sample, and that the sample is likely to be representative of the entire school population.

Overall, the survey plan described in the question is a good example of how different sampling techniques can be combined to obtain a representative sample of a population.

By using stratified sampling to divide the population into subgroups and random sampling to select individuals from each subgroup, the survey plan helps to minimize sampling bias and increase the precision of the estimates obtained from the sample.

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Answer:

the answer is 11

Step-by-step explanation:

u do what is in the parentheses first then u multiply it by 4 than u add that to the answer of 8 divided by 2 than u subtract that by 5  

Let me try this

In order to solve this, we are going to use PEMDAS. If you have not heard of PEMDAS, it stands for parenthesis, exponents, multiplication, division, addition, subtraction. So, lets start with parenthesis. You would do parenthesis first. How do you do that? You just do the math in between the parenthesis. We would do exponents first. Its basically a number saying how much times to multiply the digit it is attached to. So, 3x3. We would then do subtraction, because multiplication, division nor addition is found next. 9-6 would be 3. Now, we would do multiplication next outside of the parenthesis. 3x4 = 12. Lets move on to division. 8 divided by 2 is 4. We would go to addition. 12+4 is 16. And lastly, subtraction. 16-5 is 11. The answer is 11.

Hope this helps.

A 20% discount means the new price would be 80% of the original price ( 100 - 20 = 80)

Multiply the original price by 80%:

15 x 0.80 = 12

The new price is $12

The age of Barbra is 22 years.

The algebraic method for solving simultaneous linear equations is the substitution method. A quantity of one variable through one expression is replaced in the second equation, as the name implies.

Now, according to the question.

Let 'a' be the age of Alice.

Let 'b' be the age of Barbra

Let 'c' be the age of Carol.

The sum of age of all three sisters is 68 years.

Thus,  a + b + c = 68

Now, as Alice is three years younger than Barbra.

a = b - 3

and, Barbra is 5 years younger than Carol.

b = c - 5

c = b + 5

By substitution of values of a and c in total age.

(b - 3) + b + (b + 5) = 68

3b - 3 + 5 = 68

On solving the expression.

b = 22

Therefore, the age of Barbra is 22 years.

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Answer:

I thinks is

\( \frac{1}{200} \)

Answer:

Step-by-step explanation:

Based on the graph, it appears that Giselle's grandma is offering to pay for a certain percentage of the cost of the book for every weed that Giselle pulls in her garden. The more weeds Giselle pulls, the more money her grandma will contribute, which will reduce the amount that Giselle has to pay for the book. This can be a good way for Giselle to save money on the book without using all of her savings.

1. True, the graph's beginning represents cost before she picks any weeds.

2. False, the graph shows that the cost for he goes into the negatives, showing that she is still able to earn more money from picking weeds.

3.True, from 0 weeds to 5 weeks picked you can see the price change from $18 to $17.

4. True, once she picks 90 weeds she earns the exact amount of money needed to buy the book.

5. False, she would need to pull 90 weeds in order to not spend her own money.

Answer:

17

Step-by-step explanation:

the answer would have been 16.75 but you cant divide a class, so you round up.

Answer:

oh yeah just add them up and round up

Answer:

They intersect at one point

Step-by-step explanation:

I took the test and got 100%

Answer:

They have to intersect at one point

Step-by-step explanation:

To find the largest possible value for $0.d$, where $a$, $b$, $c$, and $d$ are replaced by four different digits from $1$ to $9$, inclusive, we want to maximize the value of the decimal part $d$.

Since $d$ is a digit between $1$ and $9$, to maximize its value, we should choose the largest digit, which is $9$.

Therefore, the largest possible value for $0.d$ is $0.9$.

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Answer:

1/81

Step-by-step explanation:

(1/3)⁴ = (1⁴/3⁴) = (1/81)

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent,  the full price of the ticket is 293.75.

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number.

The cost of the ticket Arno buys is $43.68.

The discount she got for the original cost of ticket is 16%.

We need to find the original cost of the ticket.

We need to convert the percentage to a decimal number.

by dividing 16 with 100 we get the decimal value.

16%=16/100=0.16

Now, to find the original or full price of ticket, we need to multiply zero point one six with x equal to forty three point six eight.

0.16×x=43.68

Divide both sides by 0.16

x=293.75

Hence the full price of the ticket is 293.75.

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Answer:

Step-by-step explanation:

Remember that a rectangle is a quadrilateral which have its opposite sides equal and parallel, and all its internal angles are 90°. So, those are all the characteristics we need to demonstrate.

Additionally, the diagonals of a rectangle bisect each other.

Having said that, the choices A, C and D can help to demontrate that the figure is a rectangle.

You prove that abcd is a rectangle by the options A, Cand D.

We have given that figure ABCD

we have to determine that ABCD is a rectangle.

Remember that a rectangle is a quadrilateral which have its opposite sides equal and parallel, and all its internal angles are 90°.

So, those are all the characteristics we need to demonstrate.

A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

Additionally, the diagonals of a rectangle bisect each other.

Having said that, choices A, C, and D can help to demonstrate that the figure is a rectangle.

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Answer:

your anwser is 7.74596669241

Answer:

\(\sqrt{60} = 7.74596669241\)

Step-by-step explanation:

Answer: a.) Mortgages can be repaid over a long period of time.

Instead of paying the money back all at once, it's beneficial to spread out the payments over 15 years or 30 years so that the monthly payments are small and manageable. Yes overall you'll pay more money than what you borrowed, but interest is involved with nearly every type of loan.

The solution of the given equation is x = 12. The solution is the value, that satisfies the given equation.

Given equation is 5(x - 1) + 3x = 7(x + 1)

On simplifying the equation, we get

5(x - 1) + 3x = 7(x + 1) ⇒ 5x - 5 + 3x = 7x + 7

⇒ 8x - 5 = 7x + 7

⇒ 8x - 7x = 7 + 5

⇒ x = 12

Therefore, the solution for the given equation is x = 12.

Here, the power or the degree of the variable x is 1 in the given equation. Thus, it has only one solution.

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Answer:

15%

If you get 7.5 from 75 by moving over 1 decimal place then divide 112.50 by 7.5 you get 15 percent as your answer

Answer:

2 \(\frac{3}{4}\)

Step-by-step explanation:

2 + \(\frac{3}{4}\)

= 2 \(\frac{3}{4}\) ← as a mixed number