for a random sample of size 15 from a normal population with known variance, the test statistic with the null hypothesis of is , when is the sample mean. group of answer choicesA. TrueB. False

Answer:

21x - 28

You would multiply 7 times 3x which is 21 x and then you would multiply 7 times -4 which is -28.

If the man's age was 6 times as old as his daughter and will be twice after 18 years then the present age of daughter is 7 and her father is 32.

Given that age of a man was 6 times as old as his daughter and in 18 years, he will be twice as old as his daughter.

We are required to find the present ages of both daughter and her father.

Let the age of daughter before 2 years be x.

The equations are as under:

In this way the father's age was 6x.

Present age of daughter be x+2,

Present age of her father be 6x+2.

After 18 years the age of daughter be x+2+18=x+20

After 18 years the age of her father be 6x+2+18=6x+20

It is also given that the age of her father will be 2 times the age of the daughter. So, 2(x+20)=6x+20.

2x+40=6x+20

40-20=6x-2x

20=4x

x=5

Present age of daughter=5+2=7 years.

Present age of her father=6*5+2=30+2=32 years.

Hence if the man's age was 6 times as old as his daughter and will be twice after 18 years then the present age of daughter is 7 and her father is 32.

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Answer: $12.28

Step-by-step explanation:

Here's the complete question:

Three teachers bought prizes to put in a bin at school. Mrs. Maier spent $7.68 on stickers. Mr. Lang spent $11.52 on balloons. Mrs. Connor spent $17.64 on pencils. The teachers divided the cost evenly. How much did each teacher pay?

Cost of stickers = $7.68

Cost of balloons = $11.52

Cost of pencils = $17.64

Total spent = $7.68 + $11.52 + $17.64 = $36.84

The amount that each teacher will pay when the total cost is evenly shared will be:

= $36.84 / 3

= $12.28

Answer:

y = 3x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 and passes through (0, - 2 ) ⇒ c = - 2

y = 3x - 2 ← equation of line

Answer:

y = 3x -2

Step-by-step explanation:

Slope: 3 and (0,-2)

b: y - (m)(x)

b= - 2 - (3)(0)

b = -2

Answer:

Step-by-step explanation:

Help with what

Answer:

what is the question???

Step-by-step explanation:

It is assumed that the line plot below depicts the number of letters written by Waverly middle school students to abroad pen pals. Each x stands for ten students.

Count the number of x in the supplied line plot first.

In the line plot, there are a total of 30 x. It denotes that there are a total of a certain number of students.

30x = 30 x x= 300

There are four x when the number of letters is six, and three x when the number of letters is twenty, as shown in the diagram.

This indicates that 40 pupils wrote six letters and 30 students wrote twenty.

More than 6 but fewer than 20 letters were written by pupils.

300 - 40 - 30 = 230

The answer is 230

Answer:

p+24=9

p=-15

Step-by-step explanation:

plz make me brainliest

To find a particular solution for the differential equation x^2y''-3xy'+13y=2x^4, we can use the method of undetermined coefficients. We assume a particular solution of the form y_p = Ax^4 + Bx^3 + Cx^2 + Dx + E, where A, B, C, D, and E are constants to be determined. Substituting this into the differential equation and equating coefficients, we can solve for the constants and obtain the particular solution.

The given differential equation is a second-order linear homogeneous equation with constant coefficients. To find a particular solution, we need to add a function y_p that satisfies the equation, but is not a solution of the homogeneous equation. The method of undetermined coefficients assumes that the particular solution has the same form as the nonhomogeneous term, which is 2x^4 in this case. Since the degree of the polynomial is 4, we assume a particular solution of the form y_p = Ax^4 + Bx^3 + Cx^2 + Dx + E.

We differentiate this function twice to obtain y_p'' = 24Ax^2 + 12Bx + 2C and y_p' = 4Ax^3 + 3Bx^2 + 2Cx + D. Substituting these into the differential equation, we get:

x^2(24Ax^2 + 12Bx + 2C) - 3x(4Ax^3 + 3Bx^2 + 2Cx + D) + 13(Ax^4 + Bx^3 + Cx^2 + Dx + E) = 2x^4

Simplifying and equating coefficients, we get the following system of equations:

24A - 12B + 13A = 2 => A = 1/3
12A - 6B + 26B - 13D = 0 => B = -2/39
2C - 6C + 13C = 0 => C = 0
-3D + 13D = 0 => D = 0
13E = 0 => E = 0

Therefore, the particular solution is y_p = (1/3)x^4 - (2/39)x^3. The general solution is the sum of the homogeneous solution and the particular solution.

To find a particular solution for a differential equation, we can use the method of undetermined coefficients, which assumes that the particular solution has the same form as the nonhomogeneous term. We can solve for the constants by equating coefficients and obtain the particular solution. In this case, we assumed a particular solution of the form y_p = Ax^4 + Bx^3 + Cx^2 + Dx + E and found that the particular solution is y_p = (1/3)x^4 - (2/39)x^3. The general solution is the sum of the homogeneous solution and the particular solution.

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a)  Frequency tree is mentioned below. b) P(Sonnet not shortlisted) = 0.477 c) P(Limerick not shortlisted) = 0.185.

In its simplest form, probability is represented as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Probability can be used to make predictions about the outcomes of random events. For example, in a game of chance like roulette, the probability of a particular number coming up is known and can be used to determine the odds of winning.

a) Frequency tree:

                Total: 1000

                        /            \

                   /                      \

   Sonnet (750)                    Limerick (250)

           /            \                                /         \

Shortlisted    Not Shortlisted   Shortlisted    Not Shortlisted

           /                  \                                /           \

        273              477                          65         185

b) Probability of a sonnet not shortlisted:

Number of sonnets not shortlisted = Total sonnets - Shortlisted sonnets

Number of sonnets not shortlisted = 750 - 273

Number of sonnets not shortlisted = 477

P(Sonnet not shortlisted) = 477 / 1000

P(Sonnet not shortlisted) = 0.477

c) Probability of a limerick not shortlisted:

Number of limericks not shortlisted = Total limericks - Shortlisted limericks

Number of limericks not shortlisted = 250 - 65

Number of limericks not shortlisted = 185

P(Limerick not shortlisted) = 185 / 1000

P(Limerick not shortlisted) = 0.185

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Step-by-step explanation:

Brian takes = 43 minutes

Colin takes = 1 hour = 60 minutes

In ratio,

43/60

Answer:

103

Step-by-step explanation:

157-54= 103

Answer: 103

Step-by-step explanation:

subtract 54 from 157

Answer: it is called the base

Step-by-step explanation:

A set is called denumerable if it is either finite or has the same cardinality as the set of natural numbers.

Let a1, a2, a3, … be the elements of A since A is a denumerable set. We can enumerate the elements of A as: a1, a2, a3, …Using the same method, we can enumerate the elements of B as: b1, b2,That is, B can be written in the form B = {b1, b2, …}.

Then, we can write down A × B as follows:(a1, b1), (a1, b2), (a2, b1), (a2, b2), (a3, b1), (a3, b2), …

Let's now associate every element of A × B with a natural number in the following way: For (a1, b1), associate with the number 1.

For (a1, b2), associate with the number 2.

For (a2, b1), associate with the number 3.

For (a2, b2), associate with the number 4.

For (a3, b1), associate with the number 5.

For (a3, b2), associate with the number 6.…We can repeat this process for each element of A × B.

We see that every element of A × B can be associated with a unique natural number.Therefore, A × B is denumerable and we can list its elements as (a1, b1), (a1, b2), (a2, b1), (a2, b2), (a3, b1), (a3, b2), … which can be put into a one-to-one correspondence with the natural numbers, proving that it is denumerable. The statement is hence proved.

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Then an appropriate domain for the situation is composed by all integer values.

The function in this problem is defined as follows:

f(x) = 0.04(|7x| + 4x).

In which:

Then the numeric values are obtained replacing x by the number of steps run, as follows:

f(-20) = 0.04(|7(-20)| + 4(-20)) = 2.4 calories.

The number of stairs is a countable amount, meaning that it cannot assume decimal values, and thus f(17.5) does not make sense in the context of this problem, and an appropriate domain is given by all integer values.

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In quadrant IV, \(\cos(A)\) is positive. So

\(\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = \sqrt{1-\sin^2(A)} \approx 0.6258\)

Then by the definition of tangent,

\(\tan(A) = \dfrac{\sin(A)}{\cos(A)} \approx \dfrac{-0.78}{0.6258} \approx \boxed{-1.2465}\)

Answer:

  38.2842 m

Step-by-step explanation:

The acceleration is given by ...

  a = ∆v/∆t

and the distance traveled is given by ...

  d = 1/2at^2

So the distance we're looking for is ...

  d = (1/2)(21.0366 m/s)/(8.06 s)(5.41632 s)^2 = 32.2842 m

Answer:

38.2842m

Step-by-step explanation:

The algebraic expression -26² - 5b + 12 simplifies to 688 - 5b.

To simplify the algebraic expression -26² - 5b + 12, we can follow the order of operations, which states that we need to perform any calculations inside parentheses first, then evaluate exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

Let's break down the expression step by step:

-26²: This means -26 squared. Squaring a number means multiplying it by itself. So, -26² is equal to (-26) × (-26), which simplifies to 676.

Now we have 676 - 5b + 12.

Next, we combine like terms. The terms -5b and 12 are constants, so we can add them directly. We get:

676 - 5b + 12 = 688 - 5b.

Therefore, the simplified expression is 688 - 5b. This is the final answer.

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The answer of the given question based on the Newton's law is , the scenario demonstrates Newton's second law of motion.

Newton's laws of motion are  set of fundamental principles that describe  behavior of a objects in motion. They were formulated by Sir Isaac Newton in the 17th century and are considered to be the foundation of classical mechanics. It consists of three laws of motion they are , Newton's First Law of Motion , Newton's Second Law of Motion , Newton's Third Law of Motion. These laws explain how objects move and interact with one another, and they have numerous applications in physics, engineering, and other fields.

The scenario given describes Newton's second law of motion, which states that the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass.

In this case, the force applied to the softball by the person's hit causes the softball to accelerate faster. The more force applied to the softball, the greater the acceleration of the softball.

Therefore, the scenario demonstrates Newton's second law of motion.

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Answer:

Correct.

Step-y-step explanation:

The appropriate sample size formula on the TI-84 calculator, you can determine the sample size needed to achieve your desired margin of error for estimating population parameters.

To find the sample size with a desired margin of error on a TI-84 calculator, you can use the following steps:

1. Determine the desired margin of error: Decide on the maximum allowable difference between the sample estimate and the true population parameter. For example, if you want a margin of error of ±2%, your desired margin of error would be 0.02.

2. Determine the confidence level: Choose the desired level of confidence for your interval estimate. Common choices include 90%, 95%, or 99%.

Convert the confidence level to a corresponding z-score. For instance, a 95% confidence level corresponds to a z-score of approximately 1.96.

3. Calculate the estimated standard deviation: If you have an estimate of the population standard deviation, use that value. Otherwise, you can use a conservative estimate or a pilot study's standard deviation as a substitute.

4. Use the formula: The sample size formula for estimating a population mean is n = (z^2 * s^2) / E^2, where n represents the sample size, z is the z-score, s is the estimated standard deviation, and E is the desired margin of error.

5. Plug in the values: Input the values of the z-score, estimated standard deviation, and desired margin of error into the formula. Use parentheses and proper order of operations to ensure accurate calculations.

6. Calculate the sample size: Perform the calculations using the calculator, making sure to include the appropriate multiplication and division symbols. The result will be the recommended sample size to achieve the desired margin of error.

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Answer:

$7

Step-by-step explanation:

We know

SALE 75% OFF!

100% - 75% = 25%

So, the soup pot is now only 25% of its original price.

25% = 0.25

28 times 0.25 = $7

So, Dominic will pay $7 if he buys it during the sale.

Answer:

x = 50

Step-by-step explanation:

You are correct.

x + m<PQS + m<PSQ = 180

m<PQS = m<QRT = 70

m<QST + m<PSQ = 180

120 + m<PSQ = 180

m<PSQ = 60

x + 70 + 60 = 180

x + 130 = 180

x = 50

Great job!

Answer:

donovan= 39/50 VS. marci= 44/50

5 more

Step-by-step explanation:

60/100 * 75 & 0.60 * 75

60% can be rewritten as 0.60, and since 60/100=0.60, this expression is correct as well

The other two are incorrect because 0.60/100 would be 0.6%, and 60*75 would mean she is saving 6000%

The sides of the base of a triangular pyramid are 3, 4 and 5 feet and the altitude is 6 feet Therefore, the volume of the triangular pyramid is 12 cubic feet.

To find the volume of the triangular pyramid, we can use the formula:

Volume = (1/3) × Base Area × Height

First, let's find the base area of the pyramid. Since the sides of the base are given as 3, 4, and 5 feet, we can use Heron's formula to calculate the area of the triangle.

Let s be the semi-perimeter of the triangle, which is half the sum of the sides:

\(s = \frac{(3 + 4 + 5)}{2} = 6\)

Now, we can calculate the area (A) of the base using Heron's formula:

A = √(s × (s - 3) × (s - 4) × (s - 5))

= √(6 × (6 - 3) × (6 - 4) × (6 - 5))

= √(6 × 3 × 2 × 1)

= √36

= 6

Now that we have the base area (A = 6 square feet) and the height (h = 6 feet), we can calculate the volume:

Volume = (1/3) × Base Area × Height

= (1/3) × 6 × 6

= 12 cubic feet

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Answer:

Slope =-7, y intercept =12

Step-by-step explanation:

y-Mx+b where m is slope and b is y-intercept.

Slope is -7

y intercept is 12

The probability that the cards left are all spades when drawing cards at random and without replacement until only cards of one suit are left is given by P(all spades) = 13! / 52!.

To find the probability that the cards left are all spades when drawing cards at random and without replacement until only cards of one suit are left, we need to consider the number of spades in the deck and the total number of possible outcomes. In a standard deck of 52 cards, there are 13 spades (assuming we're considering a deck with the usual 4 suits). When we start drawing cards, the number of spades in the deck will decrease with each draw.

The total number of possible outcomes is the number of ways we can arrange the 52 cards in different orders. This can be calculated using the concept of permutations. The total number of possible outcomes is denoted by 52! To calculate the probability, we need to determine the number of favorable outcomes (where all the cards left are spades) and divide it by the total number of possible outcomes.

Since there are 13 spades in the deck, and we continue drawing cards until only cards of one suit are left, the number of favorable outcomes is the number of ways to arrange these 13 spades among themselves. This can be calculated as 13!. Therefore, the probability that the cards left are all spades is given by:

P(all spades) = favorable outcomes / total outcomes

= 13! / 52!

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9514 1404 393

Answer:

  y = 1

Step-by-step explanation:

Recognize that 25 and 125 are powers of 5 and rewrite the equation in terms of powers of 5.

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)/(a^c) = a^(b-c)

  (a^b)(a^c) = a^(b+c)

__

Your equation can be written as ...

  \(25^4\div5^{5y}=125^y\\\\(5^2)^4\div5^{5y}=(5^3)^y\\\\5^{8-5y}=5^{3y}\\\\8-5y=3y\qquad\text{equate exponents of the same base}\)

Now this can be solved as an ordinary linear equation.

  8 = 8y . . . . . . add 5y to both sides

  1 = y . . . . . . . divide by 8

The solution is y = 1.

Answer:

The answer is 8

Step-by-step explanation:

By using the theory of Euclid

\( {x}^{2} = 4 \times 16 = 64 \\ x = 8\)