PLEASE PLEASE HELP ILL MARK YOU AS BRAINLIST !!

Answer:A

Step-by-step explanation:Yes; the graph passes the vertical line test.

The probability of drawing a red card, placing it back in the deck, and drawing another red card is 1/4.

According to the given question.

Total number of cards in a deck is 52.

As we know that total number of red cards in a well shuffled deck is 26.

Since, Eric first draws a red card, places it back in the deck, shuffles the deck, and then draws another card. Which means there is a replacement of cards.

So, the probability of drawing the first card is red = 26/52 = 1/2

And the probability of drawing the another card is red = 26/52 = 1/2

Therefore,

The probability of drawing a red card, placing it back in the deck, and drawing another red card

= 1/2  × 1/2

= 1/4

Hence, the probability of drawing a red card, placing it back in the deck, and drawing another red card is 1/4.

Find out more information about probability here:

https://brainly.com/question/11234923

#SPJ4

Answer:

Situation B

Step-by-step explanation:

Which situation will get you a greater number of servings? (Lesson 4)

Situation A: A 3 quart container of ice cream with a serving size of ⅔ cup.

2/3 cup = 3 quarts

1 cup = x quarts

Cross Multiply

2/3 cup × x = 1 cup × 3 quarts

x = 3 ÷ 2/3

x = 3 × 3/2

x = 9/2

x = 4 1/2 quarts

Situation B: A 4 quart container of ice cream with a serving size of ¾ cup.

3/4 cup = 4 quarts

1 cup = x quarts

Cross Multiply

3/4 cup × x = 1 cup × 4 quarts

x = 4 quarts ÷ 3/4 cups

x = 4 quarts × 4/3 cups

x = 16/3 quarts

x = 5 1/3 quarts

Answer:

Step-by-step explanation:

Oh I don't really know but I will find it out for you right now

The answer is (f) None of the above.

We can use the inclusion-exclusion principle to find the cardinality of the set A ∪ (B ∩ C). The formula is:

n(A ∪ (B ∩ C)) = n(A) + n(B) + n(C) - n(B ∪ C) - n(A ∩ B ∩ C)

We are given the values of n(A), n(B), n(C), n(A ∩ B), n(B ∩ C), and n(C ∩ A) from the Venn diagram. We can use these values to find n(B ∪ C) and n(A ∩ B ∩ C) as follows:

n(B ∪ C) = n(B) + n(C) - n(B ∩ C)

n(A ∩ B ∩ C) = n(A) + n(B) + n(C) - n(A ∪ B) - n(B ∪ C) - n(C ∪ A) + n(A ∩ B ∩ C)

Substituting the values from the Venn diagram, we get:

n(B ∪ C) = 50 + 28 - 16 = 62

n(A ∩ B ∩ C) = 18 + 16 + 28 - 50 - 62 - 20 + 10 = 0

Therefore,

n(A ∪ (B ∩ C)) = n(A) + n(B) + n(C) - n(B ∪ C) - n(A ∩ B ∩ C) = 32 + 50 + 20 - 62 - 0 = 40

So the answer is (f) None of the above.

Learn more about Venn

brainly.com/question/20795347

#SPJ11

The given function is  f(x) = 4x³ (1 + x)², which is the function whose power series representation is to be found.

The first 4 non-zero terms of the power series representation of the function 1/(1 + x) are given as 1 - x + x² - x³.

a) Using the given terms, we have;

f(x) = 4x³ (1 + x)²f(x) = 4x³(1 + 2x + x²)f(x) = 4x³ + 8x⁴ + 4x⁵

Now, a power series representation for the function f(x) is given as:

f(x) = Co + C1 x + C2 x² + C3 x³ + .........

From the power series representation, it is observed that

C0 = 0, C1 = 0, C2 = 0, C3 = 4, C4 = -8 and C5 = 16.

Hence the required power series representation is:

f(x) = 4x³ (1 + x)² = 4x³ + 8x⁴ + 4x⁵ + .........

= 0 + 0x + 0x² + 4x³ + (-8)x⁴ + 16x⁵ + ........

To know more about power series visit:

https://brainly.in/question/42163971

#SPJ11

1.  The elements of the set are {m, I, s, p}

The elements of the set are the letters in Mississippi. Elements cannot repeat themselves.. So the elements of this set would be {m, I, s, p} since all the other letters are just repetitions.

2. Set of months in a year are

{January,February,March,April,May,June,July,August,September,October,November,December}

3. Verbal Descriptions: It is a verbal description of the set is an English sentence to specify a law that allows us to decide the category of objects to be addressed and to determine whether it is in the set for any particular object.

Since, 3, 6  and 9 are divisible by 3 also less than 10.

4.  Verbal description of the set {a,e,i,o,u} is vowels

In English these five alphabets{a,e,i,o,u} are known as vowels .

since the given set contains only vowels.

5. Yes (1,3,5) is the subset of odd integers.

The set of odd integers is the superset containing elements :-

Let A = { 1 , 3 , 5 , 7 , 9 ,..... ,( 2n + 1 ) }

And,

B = { 1 , 3 , 5 }

B is a subset of A because all elements of B lie in A .

6. Yes (a,b,c) is the subset of letters of the alphabet.

To learn more about Set theory visit: brainly.com/question/22631070

SPJ4

It will take Valerie 17.14 seconds to download one minute of music at this rate.

Given that it took Valerie 2 minutes to download 15 minutes of music. At this rate, we are to find how many seconds it will take to download one minute of music.

We can start by finding out the time it takes to download one minute of music.If it takes Valerie 2 minutes to download 15 minutes of music, it will take her 1/7 of the time to download one minute of music.We can calculate the time it will take her to download one minute of music:1/7 of 2 minutes = (1/7) x 2 minutes= 2/7 minutes.

To convert minutes to seconds,we multiply by 60 seconds.So, 2/7 minutes = (2/7) x 60 seconds= 17.14 seconds (rounded to two decimal places)Therefore, it will take Valerie 17.14 seconds to download one minute of music at this rate.

To know more about rate click here:

https://brainly.com/question/29334875

#SPJ11

The generating function for the given recurrence relation, together with the initial condition . This method provides a powerful tool for solving recurrence relations and deriving closed-form expressions for the terms of the sequence.

A(x) = a_0 + a_1x + a_2x^2 + ...

To solve the recurrence relation using generating functions, we first define the generating function A(x) as the formal power series representation of the sequence a_n. We express each term a_n as a coefficient multiplied by x^n in the generating function.

Using the given recurrence relation, we have:

a_n = 2a_(n-1) + (-3)

Multiplying both sides by x^n and summing over all n, we get:

∑(a_nx^n) = 2∑(a_(n-1)x^n) + ∑((-3)x^n)

Since a_0 = 1, we can rewrite the equation as:

A(x) - 1 = 2x(A(x) - a_0) - 3/(1 - x)

Simplifying the equation, we get:

A(x) - 1 = 2xA(x) - 2x - 3/(1 - x)

Rearranging the terms, we have:

A(x)(1 - 2x) = -2x - 3/(1 - x) + 1

A(x)(1 - 2x) = -2x + (1 - 3/(1 - x))

A(x)(1 - 2x) = -2x + (1 - 3 + 3x)/(1 - x)

A(x)(1 - 2x) = (1 - 2x)/(1 - x)

Dividing both sides by (1 - 2x), we get:

A(x) = (1 - 2x)/(1 - x)

Now, we can decompose the right-hand side into partial fractions:

A(x) = (1 - 2x)/(1 - x)

= A/(1 - x) + B/(1 - 2x)

Solving for A and B by equating numerators, we find:

1 - 2x = A(1 - 2x) + B(1 - x)

For x = 1/2, we have:

1 - 2(1/2) = A(1 - 2(1/2)) + B(1 - 1/2)

1 - 1 = -A/2 + B/2

B - A = 2

For x = 1, we have:

1 - 2(1) = A(1 - 2(1)) + B(1 - 1)

-1 = -A

A = 1

From B - A = 2, we find:

B - 1 = 2

B = 3

Therefore, the partial fraction decomposition is:

A(x) = 1/(1 - x) + 3/(1 - 2x)

Now we can express A(x) as a power series:

A(x) = ∑(x^n) + 3∑(2^n * x^n)

Simplifying the series, we get:

A(x) = ∑(x^n) + 3∑(2^n * x^n)

A(x) = 1/(1 - x) + 3∑(2^n * x^n)

A(x) = 1/(1 - x) + 3/(1 - 2x)

Using the geometric series formula, we can write:

A(x) = 1/(1 - x) + 3/(1 - 2x)

= 1/(1 - x) + 3∑(2^n * x^n)

A(x) = 1/(1 - x) + 3/(1 - 2x)

= 1/(1 - x) + 3∑(2^n * x^n)

A(x) = 1/(1 - x) + 3/(1 - 2x)

= 1/(1 - x) + 3/(1 - 2x) * (1 - 2)

A(x) = 1/(1 - x) + 3/(1 - 2x) * (1 - 2)

= 1/(1 - x) + 6∑(2^n * x^n)

Therefore, the generating function for the given recurrence relation, together with the initial condition, is:

A(x) = 1/(1 - x) + 6∑(2^n * x^n)

Using generating functions, we found the generating function A(x) for the given recurrence relation a_n = 2a_(n-1) + (-3) with the initial condition a_0 = 1. The generating function is given by A(x) = 1/(1 - x) + 6∑(2^n * x^n). The generating function allows us to obtain information about the sequence a_n by extracting the coefficients of the power series. This method provides a powerful tool for solving recurrence relations and deriving closed-form expressions for the terms of the sequence.

To know more about relations ,visit:

https://brainly.com/question/30056459

#SPJ11

Answer:

0.4706

Step-by-step explanation:

Using trigonometric formulas we know:

\(sin(x) = \frac{opposite}{hypotenuse}\)

Here, our opposite is the side opposite to the angle A, which in this case is the line BC which is equal to 8.

The hypotenuse is the diagonal line, which in this case is AB, and this is equal to 17.

Therefore,

\(sinA = \frac{8}{17} =0.4706\)

Our final answer is 0.4706.

Answer:

8/17= 0.4706 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

a) The time for the battery to be 40% charged is given as follows: 48 minutes.

b) The charge in 1 hour and 48 minutes is given as follows: 90%.

A direct proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

The constant for this problem is given as follows:

k = 10/12 = 30/36 = 5/6.

Hence the equation is given as follows:

y = 5x/6.

The battery will be 40% charged when y = 40, hence:

5x/6 = 40

5x = 40 x 6

5x = 240

x = 240/5

x = 48 minutes.

1 hours and 48 minutes is equivalent to 108 minutes, hence the charge is given as follows:

y = 5 x 108/6

y = 90%.

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

Part A: The student was supposed to divide before subtracting

Part B: The student was supposed to simplify the parentheses before finding the exponents

Part C: The simplification of the expression gives -16.

From the question, we are to simplify the given expression

The given expression is

(∛64 - 16 ÷ 2)(2 - 4)²

Part A:

The mistake the student made was not applying the PEMDAS rule

P - Parentheses

E - Exponent

M - Multiplication

D - Division

A - Addition

S - Subtraction

Since division comes before subtraction, the student was supposed to divide before subtracting

Part B:

The student mistake was trying to simplify the exponent before simplifying the parentheses. The student was supposed to simplify the parentheses before finding the exponents.

Part C:

Simplifying the expression

(∛64 - 16 ÷ 2)(2 - 4)²

Simplify the cube root

(4 - 16 ÷ 2)(2 - 4)²

Divide

(4 - 8)(2 - 4)²

Simplify the parenthesis

(-4)(-2)²

Simplify the exponent

(-4)(4)

Evaluating

-16

Hence, the simplification of the expression gives -16.

Learn more on Simplifying an expression here: https://brainly.com/question/11812662

#SPJ1

Answer:

A)

Step-by-step explanation:

The answer is A) because the formula to solving the area of a parrellogram is b x h

The quotient is 10/3 .

Sharing something equally is one way to view division.

Whatever we all equally share in this problem must be a part, not a whole. What are some examples of things we typically consider to be parts? We do, however, discuss food in casually.

3/4  of a pan of brownies or 2 1/2slices of pizza could be included. Additionally, we weigh some goods in division of a pound, notably bulk foods and sweets.

There are some materials that we purchase in division of a whole, such as lengths of fabric, rope, or ribbon that are sold in units of a yard. Any of those objects could be divided into equal portions as part of your word puzzle. Here are two illustrations:

At the supermarket, Dayana and her 3/4 friends purchased a candy bag weighing 2 1/2  lb. How much candy will each individual receive if they decide to divide it equally?

(2 1/2)/(3/4)= (5/2)/(3/4)= (5\(\times\)4)/(3\(\times\)2)=20/6=10/3

The quotient is 10/3 .

This means that after Dayana cuts each piece of board, its length will be  10/3 yards.

Therefore, the quotient is 10/3.

To learn more about quotient visit: https://brainly.com/question/16134410

#SPJ1

Answer: The answer would be 3z! Good luck!

Step-by-step explanation: Subract z from 4z, basically turn the equation to 4z - 1z, then put the variable (z) to the side and subtract 1 from 4. Once you're

done with that bring your variables back and you have 3z!

Answer:

x<3

Step-by-step explanation:

;)

The mean of T is -10 and the standard deviation of T is √425 when X1 and X2 are independent.

To find the mean of T, we can use the properties of expected values. Since T = 11X1 - 2X2, the mean of T can be calculated as follows: E(T) = E(11X1) - E(2X2) = 11E(X1) - 2E(X2) = 11(10) - 2(20) = -10. To find the standard deviation of T, we need to consider the variances and covariance of X1 and X2. Since X1 and X2 are independent, the covariance between them is zero. Therefore, Var(T) = Var(11X1) + Var(-2X2) = 11^2Var(X1) + (-2)^2Var(X2) = 121(2^2) + 4(3^2) = 484 + 36 = 520. Thus, the standard deviation of T is √520, which simplifies to approximately √425. When X1 and X2 have a correlation of -0.76, the mean and standard deviation of T remain the same as in the case of independent variables. To calculate the probability P(T > 30) when X1 and X2 are independent, normally distributed variables, we need to convert T into a standard normal distribution. We can do this by subtracting the mean of T from 30 and dividing by the standard deviation of T. This gives us (30 - (-10))/√425, which simplifies to approximately 6.16.  We can then look up the corresponding probability from the standard normal distribution table or use statistical software to find P(T > 30). The probability will be the area under the standard normal curve to the right of 6.16.

Learn more about standard normal distribution here: brainly.com/question/32506784

#SPJ11

The answer of the given question based on the cylinder is ,  the volume of the solid = 929.44  inch³ . , the mistake is student may have only calculated the volume of the inner cylinder.

Volume is amount of three-dimensional space occupied by object or substance. It is a physical quantity that is measured in cubic units, such as cubic meters (m³), cubic centimeters (cm³), or cubic inches (in³). The volume of an object can be calculated by measuring its dimensions and using a mathematical formula specific to its shape.

To find volume of  solid, we need to subtract  volume of  inner cylinder from  volume of outer cylinder.

Volume of the outer cylinder = πr²h

where r = radius of the outer cylinder = 4 inches (diameter is given as 8 inches)

h = height of the outer cylinder = 23 inches

Volume of the outer cylinder = π(4)²(23) = 368π in³

Volume of the inner cylinder = πr²h

where r = radius of the inner cylinder = 2 inches

h = height of the inner cylinder = 18 inches

Volume of the inner cylinder = π(2)²(18) = 72π in³

So, the volume of the solid = Volume of the outer cylinder - Volume of the inner cylinder

= 368π - 72π

= 296π

= 929.44  inch³

The student's answer of 988.05 in³ is significantly higher than the correct answer, suggesting that the student may have only calculated the volume of the inner cylinder instead of subtracting it from the volume of the outer cylinder. This mistake may have arisen due to misreading the problem or misunderstanding the instructions.

To know more about Radius visit:

https://brainly.com/question/12922563

#SPJ1

Answer:

  D. 24

Step-by-step explanation:

The 5-number summary of a data set includes ...

When the data are written in increasing order, they are ...

  23 23 24  27 27 28  30 30 30  33 34 35

The minimum is the first value on the list, 23.

The first quartile is the average of the two middle values in the lower half of the data set: (24+27)/2 = 25.5.

The median is the average of the two middle values: (28+30)/2 = 29.

The third quartile is the average of the two middle values in the upper half of the data set: (30+33)/2 = 31.5.

The maximum is the last value on the list: 35.

A. 29 is the median

B. 23 is the minimum

C. 31.5 is the 3rd quartile

D. 24 is not part of the 5-number summary

the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

Learn more about equation here: brainly.com/question/29657983

#SPJ11

3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

To know more about Number visit:

brainly.com/question/3589540

#SPJ11

Answer:

75 feet

Step-by-step explanation:

3/2=x/50

3*50/2=x

150/2=x

75=x

The log function with base 10 is called the “common logarithmic functions” and the log with base e is called the “natural logarithmic function”. The logarithmic function is defined by, if logab = x, then ax = b.

The log with a base "e" (log e) is the same thing as In

The natural logarithmic function log e  refers to its logarithmic function of the base of the constant e. For this equation to be equivalent in logarithm;

We can say that:

log e = ln

Logarithm may alternatively be defined as the exponent power to which a base must be raised in order to produce a given number.

Learn more about Logarithm here:

https://brainly.com/question/28596588

#SPJ4

Answer:

Option: A

Step-by-step explanation:

Hope it helps you!

There are 6 people going to the movie

Jan, her 3 children, 2 neighbor children

(1+3+2)

Each costs 3 dollars to get in

Total cost = number of people * cost

Total cost = (1+3+2) * 3

= 6*3

= 18

Answer:

f(-2)=-9

Step-by-step explanation:

3*-2=-6. -6-3=-9.