At Kennedy High School, the probability of a student playing in the band is 0. 15. The probability of a student playing in the band and playing on the football team is 0. 3. Given that a student at Kennedy plays in the band, what is the probability that they play on the football team?

Answer:

12 weeks

Step-by-step explanation:

I will use x to describe the amount of weeks.

200.39 (amount already have) + 80.10x (amount per week) = 1161.59 (total amount needed)

Now, just solve for x.

80.10x = 961.2

x = 12

Answer:

A

Step-by-step explanation:

Because it is a negative.

When making a joint probability table, the type of probabilities is contained in the cells except those cells on the margin of the table joint probabilities, while those on the margins are marginal probabilities.

A joint probability refers to the probability that two independent events will both occur. two or more random variables. It is a statistical measure that calculates the probability of two events occurring together and at the same point in time i.e., joint probability is the probability of event Y occurring at the same time that event X occurs. A joint probability table represents a joint probability distribution for two or more random variables illustrating the relationship between variables (it uses variables or conditions instead of events). In the joint probability table, the type of probabilities that are contained in the cells are joint probabilities, while those on the margins are marginal probabilities (probabilities of values of the variables in the subset without reference to the values of the other variables.).

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Answer:

We use percentages to make calculations easier. It is much simpler to work with parts of 100 than thirds, twelfths and so on, especially because quite a lot of fractions do not have an exact (non-recurring) decimal equivalent.

Step-by-step explanation:

Answer:

To calculate how many standard deviations away from the mean an ACT score of 31 is, we need to use the formula:

z = (x - μ) / σ

Where:

x = ACT score of 31

μ = mean of ACT scores (28)

σ = standard deviation of ACT scores (2)

z = number of standard deviations away from the mean

Substituting the values, we get:

z = (31 - 28) / 2

z = 1.5

Therefore, an ACT score of 31 is 1.5 standard deviations away from the mean.

Answer:

The xxx-intercept is the point where a line crosses the xxx-axis, and the yyy-intercept is the point where a line crosses the yyy-axis.

Step-by-step explanation:

1 standard deviation =  8 inches. the answer is OPTION E

We know that 99.7% of American men have heights between 5'0" and 7'0". Since height is normally distributed, we can use the empirical rule to estimate the standard deviation.

According to the empirical rule, 99.7% of the data falls within 3 standard deviations of the mean. Therefore, we can say that the range of heights from 5'0" to 7'0" is 3 standard deviations.

We can use this information to estimate the standard deviation as follows:

Range of heights = 7'0" - 5'0" = 2 feet

3 standard deviations = 2 feet

1 standard deviation = 2/3 feet

1 foot = 12 inches

Therefore, 1 standard deviation = 2/3 * 12 inches = 8 inches

So, our estimate of the standard deviation of the height of American men is 8 inches. Therefore, the answer is OPTION E in the given options.

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Complete question

If the heights of 99.7% of American men are between 5'0"

and 7'0", what is your estimate of the standard deviation of

the height of American men? (Assume the heights of

American Men are Normally Distributed).

A.) 1"

B.) 2"

C.) 4"

D.) 6"

E.) 8"

Answer:

42

Step-by-step explanation:

Explanation in image

Answer:

(-2, -3)

Step-by-step explanation:

While hiking, Mr. Fury burns 808 calories in 8 hours. At this rate, how many calories does he burn in 60 minutes?

(1): 6,464 calories

(2): 110 calories

(3): 101 calories

(4): 250 calories

808/8 = 101 per hour

60 minutes = 1 hour so:

101 * 1 = 101

To find:

The method of drwaing the graph of given inequality.

Solution:

Given inequality: -3m +18 < 30.

Solve the inequality:

To draw the graph, draw a dotted line on -4. Since, the solution set contains all numbers greater than -4,so, shade the portion that lies to right side of -4.

Answer:

A

Step-by-step explanation:

four of the sides are equal to 18mm, so that would be the 4(18mm), and then the two other sides are equal to 24mm, which is 2(24mm). Your full equation would be:

P= 4(18mm) + 2(24mm)

A

Answer:

P = 4(18 mm) + 2(24 mm)

Step-by-step explanation:

We have 15 letter tiles. Out of those 15 tiles, we have 3 E and 2 T.

Thereby, the probability of picking an E first is:

Since Pamela does not replace the tiles, we would now have 14 letter tiles. Therefore, the probability of choosing a T from here is:

Now, the probability that she will select the letter E first and the letter T second is:

Or about 3%

The denotation of ¬p is given by the formula ¬p = "The opposite of p."

The symbol ¬ is commonly used in logic to represent negation or the opposite of a proposition. In this case, the proposition p is being negated. The denotation of ¬p refers to the meaning or interpretation of the expression ¬p.

When we say ¬p = "The opposite of p," we mean that ¬p is true when p is false, and ¬p is false when p is true. In other words, ¬p has the opposite truth value of p. If p is true, then ¬p is false, and if p is false, then ¬p is true.

For example, let's say p represents the statement "It is raining." If p is true, then ¬p, which means "The opposite of It is raining," would be false, indicating that it is not the case that it is not raining. On the other hand, if p is false, then ¬p would be true, indicating that it is the case that it is not raining.

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The probability that exactly five students among the 12 visiting Mexico will contract a stomach virus is approximately 0.2173 and the probability that more than two students among the 12 visiting Mexico will contract a stomach virus is approximately 0.4866.

What is probability?

Probability is a branch of mathematics that deals with quantifying the likelihood or chance of an event occurring.

Probability that exactly five students contract a stomach virus:

Using the binomial probability formula, we have:

\(P(X = 5) = (12C5) * (0.23^5) * (0.77^7)\)

\(P(X = 5) = (792) * (0.23^5) * (0.77^7)\)

P(X = 5) ≈ 0.2173 (rounded to four decimal places)

Therefore, the probability that exactly five students among the 12 visiting Mexico will contract a stomach virus is approximately 0.2173.

Probability that more than two students contract a stomach virus:

We need to calculate the probabilities of three, four, and five students contracting a stomach virus and then sum them up.

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5)

Using the binomial probability formula for each case:

\(P(X = 3) = (12C3) * (0.23^3) * (0.77^9)\\\\P(X = 4) = (12C4) * (0.23^4) * (0.77^8)\)

P(X = 5) ≈ 0.2173 (calculated previously)

Now, let's calculate each probability and sum them up:

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5)

\(P(X > 2) = (12C3) * (0.23^3) * (0.77^9) + (12C4) * (0.23^4) * (0.77^8) + 0.2173\)

P(X > 2) ≈ 0.4866 (rounded to four decimal places)

Therefore, the probability that more than two students among the 12 visiting Mexico will contract a stomach virus is approximately 0.4866.

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The length of one side of the sandbox is 7y4 - 13x3 inches. To find the length of one side of a regular pentagon, we divide the perimeter by the number of sides (pentagon has 5 sides).

The given perimeter is 35y4 - 65x3 inches. So, the length of one side is (35y4 - 65x3) / 5 = 7y4 - 13x3 inches. In a regular pentagon, all sides are equal in length, and the sum of all interior angles is 540 degrees. However, this information is not needed to determine the length of one side in this specific problem.

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QUESTION:

Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is 35y4 – 65x3 inches. What is the length of one side of the sandbox?

5y – 9 inches

5\(y^{4}\) – 9\(x^{3}\) inches

7y – 13 inches

7\(y^{4}\) – 13\(x^{3}\) inches

The expression 2 + 4n can be used to represent any situation where a fixed value of 2 is added to a variable quantity that is 4 times another variable.

The expression 2 + 4n represents a mathematical relationship between two variables, where "n" is a variable that can take on different values. We can interpret the expression in the following way:

The number 2 is a constant term that is added to the product of 4 and "n".

The variable "n" can take on different values, which will result in different values of the expression 2 + 4n.

Now, let's consider some possible statements that could be represented by the expression 2 + 4n:

"If you multiply a number by 4 and then add 2, the result is the same as adding 2 to the number and then multiplying the result by 4." This statement describes the commutative property of addition and multiplication, and it can be represented by the equation 4n + 2 = 2 + 4n.

"The total cost of buying n items at $4 each, plus a $2 handling fee, is given by the expression 2 + 4n." This statement describes a real-world situation where a handling fee is added to the total cost of purchasing multiple items. The expression 2 + 4n represents the total cost of buying "n" items at a price of $4 each, plus the fixed handling fee of $2.

"The perimeter of a rectangle with a length of 2 units and a width of n units is given by the expression 2 + 4n." This statement describes a geometric relationship between the dimensions of a rectangle and its perimeter. The expression 2 + 4n represents the perimeter of a rectangle with a fixed length of 2 units and a variable width of "n" units.

These are just a few examples of statements that could be represented by the expression 2 + 4n. In general, the expression 2 + 4n can be used to represent any situation where a fixed value of 2 is added to a variable quantity that is 4 times another variable.

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Answer:



To find the indirect utility function, we need to solve the utility maximization problem subject to the budget constraint and express the maximum utility achieved as a function of the prices and income.

Given the utility function U = max(X, Y) and the budget constraint P₁X + P₂Y = M, we can solve for X and Y in terms of prices (P₁, P₂) and income (M).

First, let's consider the different cases:

If P₁ ≤ P₂:

In this case, the individual would choose to consume only good X. Therefore, X = M / P₁ and Y = 0.

If P₂ < P₁:

In this case, the individual would choose to consume only good Y. Therefore, X = 0 and Y = M / P₂.

Now, we can express the indirect utility function in terms of the prices (P₁, P₂) and income (M) for each case:

a) If P₁ ≤ P₂:

In this case, the individual maximizes utility by consuming only good X.

Therefore, the indirect utility function is V(P₁, P₂, M) = U(X, Y) = U(M / P₁, 0) = M / P₁.

b) If P₂ < P₁:

In this case, the individual maximizes utility by consuming only good Y.

Therefore, the indirect utility function is V(P₁, P₂, M) = U(X, Y) = U(0, M / P₂) = M / P₂.

c) and d) do not match any of the cases above.

Therefore, among the given options, the correct answer is:

a) M / max(P₁, P₂).

a=9

a^2+40^2=41^2

a^2=41^2-40^2

if x^2-y^2, (x-y) (x+y) [that is formula]

so, a^2= (41-40) (41+40)

a^2= 1×81

a^2=81

a^2=9^2 (9×9=81)

^2 and ^2 are the same, so

a=9

Answer:

1. Combining like terms

2. Distributive property

3. Subtraction (both sides)

4. Addition(both sides)

5. Division

Step-by-step explanation:

Answer:

question 2:Anaphase-C

question 1: DNA- A

Answer:

A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

1

4

π

37

2

≈

1075.21009

Step-by-step explanation:

Stronger evidence against the null hypothesis is indicated by: smaller p-values.

A statistical conjecture known as a null hypothesis asserts that certain features of a population or data-generating process are not different from one another.

A mechanism to reject the null hypothesis with a predetermined level of confidence is provided by hypothesis testing.

The alternative hypothesis is supported if the null hypothesis can be rejected.

The foundation of the scientific falsification principle is null hypothesis testing. The null hypothesis presupposes that any variation in the selected characteristics you observe in a set of data is the result of chance.

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Answer:

b!!!!!

Step-by-step explanation:

The angle created by the two rays or arms at a shared vertex is known as the angle measure in geometry.

With a protractor, you can determine how large an angle is. Alternatively, the congruent angles could be indicated on the figure by an arc. Supplementary angles are two angles whose combined measurements are 180°, such as two right angles since 90° + 90° Equals 180°. the measurement of an angle wherein 1 degree equals 1/360 of a circle.

An angle (created by perpendicular lines) that is exactly 90 degrees is called a right angle. Less than 90 degrees is considered an acute angle. Revolutions, degrees, and radians are the three types of angles that can be measured. Degrees serve as a more widely used measurement unit. In order for a right angle to be 90 degrees, a circle must be divided into 360 equal degrees.

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Answer:

Yes

Step-by-step explanation:

Given information:The random variable X has a binomial distribution with n = 5 and p = 0.3.Want to find: The probability that X is less than or equal to 1 i.e. P(X ≤ 1).

Solution:Given, the random variable X has a binomial distribution with n = 5 and p = 0.3.The probability mass function (pmf) of the binomial distribution is given by\(;P(X = x) = nCx * p^x * (1-p)^(n-x),\) where;n = 5, the number of trials.p = 0.3, the probability of success.x = 0, 1, 2, 3, 4 and 5.

The required probability is to find P(X ≤ 1).P(X ≤ 1) = P(X = 0) + P(X = 1)Putting the values;\(P(X = 0) = 5C0 * 0.3^0 * 0.7^5= 0.16807 P(X = 1) = 5C1 * 0.3^1 * 0.7^4= 0.36015 Therefore, P(X ≤ 1) = P(X = 0) + P(X = 1)= 0.16807 + 0.36015= 0.52822\)Therefore, the probability that X is less than or equal to 1 i.e. P(X ≤ 1) is 0.52822 (approx) when n = 5 and p = 0.3.

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