A basket contains a red, a yellow, and a green apple. A second basket contains an orange, a lemon, and a peach. Use an organized list to show all the outcomes in sample space

(a) The example size required is 1937. (b) MoE = 1.645 * sqrt((0.12 * (1 - 0.12)) / 1937) MoE  0.013 The confidence interval's margin of error is approximately 0.013.

(a) The following formula can be used to determine the required sample size for a given error margin:

Where: n = (Z2 * p * (1-p)) / E2.

n = Test size

Z = Z-score comparing to the ideal certainty level (90% certainty relates to a Z-score of roughly 1.645)

p = Assessed extent of clients not fulfilled (0.2)

E = Room for mistakes (0.015)

Connecting the qualities:

Simplifying the equation: n = (1.6452 * 0.2 * (1-0.2)) / 0.0152

The required sample size is 1937 by rounding to the nearest whole number: n = (2.7056 * 0.16) / 0.000225 n = 1936.4267

Hence, the example size required is 1937.

(b) Considering that 12% of the example (n = 1937) says they are not fulfilled, we can ascertain the room for mistakes utilizing the equation:

MoE = Z / sqrt((p * (1-p)) / n), where:

MoE = Room for mistakes

Z = Z-score comparing to the ideal certainty level (90% certainty relates to a Z-score of roughly 1.645)

p = Extent of clients not fulfilled (0.12)

n = Test size (1937)

Connecting the qualities:

MoE = 1.645 * sqrt((0.12 * (1 - 0.12)) / 1937) MoE  0.013 The confidence interval's margin of error is approximately 0.013.

To know more about whole number refer to

https://brainly.com/question/29766862

#SPJ11

Answer: 0,-6

Step-by-step explanation:

Midpoint Formula x1+x2/2, y1+y2/2

-3+3= 0/2=0    -7+(-5)= -12/2 = -6

0,-6

a) The probabilities for X = 0, 1, 2, and 3, and then summing them up, we find that P(X > 3) ≈ 0.019. b) The probability of zero successes is approximately 0.430. c) The length of an interval of time is 1.306 hours.

a) The time between arrivals of small aircraft is exponentially distributed with a mean of one hour. To find the probability that more than three aircraft arrive within an hour, we will use the Poisson distribution, where λ (lambda) represents the average number of arrivals per hour, which is 1 in this case. The probability formula is P(X > 3) = 1 - P(X ≤ 3), where X is the number of arrivals. Using the Poisson formula, we get:

P(X > 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

Calculating the probabilities for X = 0, 1, 2, and 3, and then summing them up, we find that P(X > 3) ≈ 0.019.

b) To find the probability that no interval contains more than three arrivals in 30 separate one-hour intervals, we can use the binomial distribution. The probability of success (an interval with more than three arrivals) is 0.019 from part a), and the probability of failure (an interval with three or fewer arrivals) is 1 - 0.019 = 0.981. Using the binomial formula with n = 30 (number of intervals) and p = 0.981, we find the probability of zero successes (i.e., no interval with more than three arrivals) is approximately 0.430.

c) To determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.27, we use the exponential distribution formula:

P(T > t) = e^(-λt), where T is the waiting time between arrivals, t is the time interval, and λ is the average number of arrivals per hour (1 in this case).

We want to find the value of t such that P(T > t) = 0.27. So:

0.27 = e^(-1 * t)

Taking the natural logarithm of both sides, we get:

ln(0.27) = -t

Solving for t, we find that t ≈ 1.306 hours.

To learn more about probability click here

brainly.com/question/30034780

#SPJ11

Answer:

Hey :)

Step-by-step explanation:

I dont know how to do emoji on laptop

Answer:

B

Step-by-step explanation:

CAN I GET BRAINLIEST PLSS

Answer: THE ANSWER IS B ITS RIGHT ON EDG

Step-by-step explanation:

Answer:

\(1\frac{7}{12}\quad\)  yards \(\left(\mathrm{Decimal:\quad }\:1.58333\dots \right)\)

Step-by-step explanation:

To find how much Andrea started with, subtraction is needed. To subtract, we need to set up fractions;

\(4\frac{1}{3}-\frac{11}{4}\)

\(4\frac{1}{3}=\frac{4\cdot 3+1}{3}\)

\(=\frac{13}{3}\)

\(=\frac{13}{3}-\frac{11}{4}\)

Least common multiplier: 3,4 = 12

Adjust fractions based on the LCM

\(=\frac{52}{12}-\frac{33}{12}\)

Apply the fraction rule: \(\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}\)

\(\frac{52}{12}-\frac{33}{12}=\frac{52-33}{12}\)

\(=\frac{52-33}{12}\)

Add the numbers: \(52-33=19\)

\(=\frac{19}{12}\)

\(\frac{19}{12}=1\frac{7}{12}\)

\(=1\frac{7}{12}\)

Therefore, Andrea started with \(1\frac{7}{12}\) yard material.

Answer:

x = 17.331....

Step-by-step explanation:

Basically use Tan on the calculator to find x. Look up "soh cah toa" if you still dont understand what I am doing.

Tan(37) = opposite / adjacent = x / 23

x = Tan(37) (23)                    multiply by 23 on both sides to get this

x = 0.753.... (23)                   now multiply the tan value on the calculator

x = 17.331....

Answer:

- 4/5

Step-by-step explanation:

since the line is going down, it is negative

use rise / run for this

it goes 4 units down (rise) and 5 units to the right (run)

Answer :

Width = 10 cm

Length = 12 cm

The percentage of the cakes containing nuts using the ratio of different types of cakes is equal to 4.76%.

Let M represents the number of milk chocolate cakes

Let D represents the number of dark chocolate cakes

Let W represents the number of white chocolate cakes

From the given ratios, we have,

Ratio of the number of milk chocolate cakes to dark chocolate cakes

= 10:3

⇒D = M/(10 / 3)

⇒D = 3M/10

Ratio of the number of white chocolate cakes to milk chocolate cakes

= 1:6

⇒ W = M/6

Let N be the total number of cakes containing nuts.

Then the number of cakes not containing nuts is,

For milk chocolate cakes,

Ratio of the number of cakes containing nuts to not containing nuts = 1:8

⇒ 8N for every N containing nuts.

⇒M - N= 8N

⇒M = 9N

For dark chocolate cakes,

Ratio of the number of cakes containing nuts to not containing nuts = 3:2

⇒ 2N for every 3 containing nuts.

⇒ (D - 3N) = 2N

⇒ D = 5N

For white chocolate cakes,

Ratio of the number of cakes containing nuts to not containing nuts = 2:5

⇒5N for every 2 containing nuts

⇒ (W - 2N) = 5N

⇒ W = 7N

The total number of cakes is,

M + D + W

= 9N + 5N + 7N

= 21N

Percentage of cakes containing nuts is equal to,

=N/(21N) × 100

= 100/21

= 4.76%

Therefore, percentage of the cakes containing nuts using given ratio is equal to 4.76%.

learn more about ratio here

brainly.com/question/16870220

#SPJ4

The range of the distribution is the parameter that is required to convert a computer-generated random variable into a uniform random variable. Below are more than 100 words explaining this in detail:A uniform random variable is a random variable with a probability distribution function that is uniform across all possible values.

The probability density function of a uniform distribution is constant over the range of values of the variable. Therefore, it has equal probability of taking any value within the range of values that it is defined.The process of converting a computer-generated random variable into a uniform random variable is known as uniform random number generation. The process of uniform random number generation is an important aspect of computer simulation and statistical analysis of data.

It is used to generate random numbers that follow a uniform distribution, which is a common distribution in many applications.The range of the distribution is the parameter that is required to convert a computer-generated random variable into a uniform random variable. This is because the range of the distribution defines the possible values that the variable can take. By mapping the computer-generated random variable to the range of the uniform distribution, we can convert it into a uniform random variable.

To know more about variable visit:

https://brainly.com/question/15078630

#SPJ11

If n tables are placed end-to-end then the total number of people that can be seated is 8n and we will need 8 tables placed end-to-end to seat 62 people respectively.

Given that a rectangular table seats 10 people, 2 persons on each end and 3 on each of the longer sides. Thus, two tables placed end-to-end seats 16 people.

Arranging the tables end to end in a line:

Table 1: 2 persons on each end and 3 on each of the longer sides.

Table 2: 2 persons on each end and 3 on each of the longer sides.

So, total persons in 2 tables = 10+10+6+6 = 32 persons.

Therefore, we can say that two tables placed end-to-end seats 16 people.

So, for n tables placed end-to-end, the total number of people that can be seated is 8n.

If there are n tables placed end-to-end, then the total number of people that can be seated is 8n, but we have to find the number of tables required to seat 62 people.

So, the required number of tables = Ceiling of [number of people/8].

From part (a), we know that if there are n tables placed end-to-end, then the total number of people that can be seated is 8n.To find the number of tables required to seat 62 people, we will use the formula:

Number of tables = Ceiling of [number of people/8]

Putting the value of number of people as 62:

Number of tables = Ceiling of [62/8] = Ceiling of 7.75

Therefore, the required number of tables = Ceiling of [number of people/8] = 8

Thus, if n tables are placed end-to-end then the total number of people that can be seated is 8n and we will need 8 tables placed end-to-end to seat 62 people.

To know more about total, click here

https://brainly.com/question/31560008

#SPJ11

The probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a coupon of 4.0% is derived to be 1.02.

Probability distribution of yields to maturity a year from now on a 30-year U.S. Treasury bond with a coupon of 4.0% using the table below.

We need to derive the probability distribution of the 1-year holding period return (HPR) on the bond.

First, we calculate the bond price using the current yield to maturity.

Current Yield to Maturity of Bond = 5.0%

Coupon Payment (C) = $4.00

Face Value (F) = $100.00

Therefore, Price of Bond

= PV of all cash flows

= C / YTM * [1 - 1 / (1 + YTM)n] + F / (1 + YTM)n

= $4.00 / 0.05 * [1 - 1 / (1 + 0.05)30] + $100.00 / (1 + 0.05)30

= $76.76 + $23.24

= $100.00

Therefore, the bond is selling at par value.  

To calculate the 1-year HPR,

we use the formula

HPR = (Ending Bond Price - Beginning Bond Price + Coupon Payment) / Beginning Bond Price

= (P1 - P0 + C) / P0

= (P1 / P0) - 1 + (C / P0)

= [(C1 / P1) + 1] - 1 + (C0 / P0)

= [(C1 / P1) - (C0 / P0)] + 1  

We know that Coupon Payment (C) = $4.00,

and the Par Value (F) = $100.00.

Therefore, Coupon Payment for a 1-year period,

C0

= $4.00 * 1 / 2

= $2.00,

C1 = $4.00  

Thus, we get:  

Probability,

P(YTM) YTM Bond Price C1 / P1 C0 / P0 (C1 / P1) - (C0 / P0)

HPR

= 0.05 $100.00 $4.00 $2.00 $0.02 0.02 + 1

= 1.02 0.06 $94.34 $4.00 $2.00 $0.02 0.02 + 1

= 1.02 0.07 $90.29 $4.00 $2.00 $0.02 0.02 + 1

= 1.02 0.08 $86.48 $4.00 $2.00 $0.02 0.02 + 1

= 1.02 0.10 $81.89 $4.00 $2.00 $0.02 0.02 + 1

= 1.02

The probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a coupon of 4.0% is given in the above table, where HPR is derived from the Yield-to-Maturity (YTM) probability distribution provided. Therefore, the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a coupon of 4.0% is:   Probability, P(HPR) HPR 0.02 1.02.

Therefore, the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a coupon of 4.0% is derived to be 1.02.

Learn more about the probability distribution from the given link-

https://brainly.com/question/30390163

#SPJ11

The number of people are 72.

Highest Common Factor is the full name for HCF in mathematics.

According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.

Least Common Multiple is the full name for LCM in mathematics.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.

We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.

Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.

We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:

288 / x² = (16*18) / x² = 288 / x²

Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.

As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.

To know more about HCF visit:

https://brainly.com/question/29114178

#SPJ1

We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.

To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.

The total area of the cake is:

16 inches x 18 inches = 288 square inches

To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:

√(288 square inches) ≈ 16.97 inches

Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:

Each piece of cake will be approximately 16 inches by 16 inches.

To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:

288 square inches ÷ (16 inches x 16 inches) = 18

Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.

Learn more about area on:

https://brainly.com/question/16519513

#SPJ1

Answer:

The sum of 25 and 16 is 41.

Step-by-step explanation:

The sum of two numbers, 25 and 16, you can break apart the addends and add them separately to simplify the process. Here's how you can do it:

Break apart the numbers into their place values: For 25, you have 20 and 5, and for 16, you have 10 and 6. This step helps you work with the place values individually.

Add the tens place: In this case, you have 20 (from 25) and 10 (from 16). Adding them gives you 30.

Add the ones place: Now you add the ones place, which is 5 (from 25) and 6 (from 16). Adding them gives you 11.

Combine the sum of the tens place and the sum of the ones place: Take the sum of 30 (from step 2) and 11 (from step 3). Adding them together gives you 41.

So, the sun is 41.

Learn more about addends here, https://brainly.com/question/29781964

#SPJ11

The circumference and area of the flower are 15.7 and 19.6 respectively

The image that completes the question is added an attachment

From the image, we have

Diameter = 5 inches

The circumference is calculated as

C = π * Diameter (d)

So, we have

C = πd

This gives

C = 3.14 * 5

Evaluate

C = 15.7

The area is calculated as

A = π(d/2)^2

This gives

A = 3.14 * (5/2)^2

Evaluate

A = 19.6

Hence, the circumference and area of the flower are 15.7 and 19.6 respectively

Read more about circumference at

https://brainly.com/question/15673093

#SPJ1

Answer:

Standard Deviation (σ) = √(n * p * q)

Step-by-step explanation:

To find the standard deviation of a binomial distribution, you can use the following formula:

Standard Deviation (σ) = √(n * p * q)

Where:

n is the number of trials or observations

p is the probability of success in a single trial

q is the probability of failure in a single trial (q = 1 - p)

Here are the steps to find the standard deviation of a binomial distribution:

Determine the values of n (number of trials) and p (probability of success).

Calculate the value of q (probability of failure) by subtracting p from 1 (q = 1 - p).

Multiply n, p, and q together.

Take the square root of the result obtained in step 3.

The final result will be the standard deviation (σ) of the binomial distribution.

Note: The formula assumes that the trials or observations in the binomial distribution are independent and have the same probability of success (p) for each trial.

The least of the four integers is 11.

Let's assume that the four consecutive integers are x, x+1, x+2, and x+3. We know that the sum of these four integers is 50, so we can write the equation:

x + (x+1) + (x+2) + (x+3) = 50

Simplifying the equation, we get:

4x + 6 = 50

Subtracting 6 from both sides, we have:

4x = 44

Dividing both sides by 4, we get:

x = 11

So, the least of the four consecutive integers is 11.

To verify, we can substitute this value back into the equation:

11 + 12 + 13 + 14 = 50

The sum indeed equals 50, confirming that the least integer is 11.

For similar question on integers.

https://brainly.com/question/929808

#SPJ8

Answer:

7)B

8) C

9) A

Step-by-step explanation:

\(Answer:\large\boxed{y=\frac{2}{3} x+6}\)

Step-by-step explanation:

First let's convert 2x - 3y = 12 into \(y = mx + b\)  form.

In order to do this, solve for y.

\(2x-3y=12\)

\(-3y=-2x+12\)

\(y=\frac{2}{3} x-4\)

This shows us that the slope is   \(\boxed{\frac{2}{3}}\)

Now we use the point-slope formula:

\((y-y1)=m(x-x1)\)

where m is the slope and y1 and x1 are the point the line passes through

Using the point (-6,2) and slope, 2/3, we can find the equation:

\((y-2)=\frac{2}{3} (x-(-6))\)

\((y-2)=\frac{2}{3} (x+6)\)

\((y-2)=\frac{2}{3} x+4\)

\(\large\boxed{y=\frac{2}{3} x+6}\)

Answer:

44h

Step-by-step explanation:

Auto repair shop Charge - $36

Replaced Parts - $8

Number of Hours - h

Formula to find the total cost

(Auto Repair Shop Charge + Replaced Parts) x Number of Hours

= (36 + 8) x h

= 44 x h

= 44h

The inequality best describes the number of paperback books 'p' and the number of hardback books 'h' that can be purchased for $45.00 or less

is 5p + 9h ≤ 45.  

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Two types of books paperbacks are represented by 'p', and hardbacks are represented by 'h'.

Also, we can only buy two types of books for $45 or less.

Therefore, The inequality representing the context is,

5p + 9h ≤ 45.  (As the cost van be $45 or less not only less)

learn more about inequalities here :

https://brainly.com/question/29773201

#SPJ1

Step-by-step explanation:

Notice the domain for both function is all real numbers.

So if we either add, subtract, multiply, or compose the functions, the domain will be all real numbers.

To find the population of the city, we need to find the total number of people living in the city. We know that there are 1350 people per square mile, so we can find the total number of people by multiplying the number of square miles in the city by the number of people per square mile.

The area of the city is the length times the width, so:

Area = Length x Width

Area = 12 miles x 8 miles

Area = 96 square miles

Now, we can find the population by multiplying the area by the number of people per square mile:

Population = Area x People per square mile

Population = 96 square miles x 1350 people per square mile

Population = 129,600 people

Therefore, the population of the city is 129,600 people.

Hope this helps!

Answer:

Domain: (-∞,∞)

Range: (-∞, ∞)

Hope this helps.

Answer:

C. (-5,1)

Explanation:

One point in the pre-image has the coordinates (-3, 7)

The translation rule is given below:

Therefore, the coordinates of its image will be:

The correct choice is C.

Answer:

The correct option is;

Low

Step-by-step explanation:

Given that the P-value of the linear correlation = 0.001, we have that the P-value is a demonstration that a linear correlation that has a value in the range of the given correlation is ,most arguably very low

From the z-table, a P-value of 0.001 corresponds to a z-value of -3.09, we have that in a normal distribution since 95% of the scores have a z-score of between -2 and 2, the z-score of -3.09 is very distant from the mean and having a low value, whereby the P-value shows that the likelihood of finding another linear correlation that is as far from the mean as the given correlation  is very low.

We can plot the vector r(t) and the vector N(T) at the given value of t = T.

To find the principal unit normal for the vector-valued function r(t) = sin(t)i + tcos(t)j + tk, we need to compute the derivative of r(t) with respect to t and then normalize it to obtain a unit vector.

First, let's find the derivative of r(t):

r'(t) = cos(t)i + (cos(t) - tsin(t))j + k

Next, we'll normalize the vector r'(t) to obtain the unit vector:

||r'(t)|| = sqrt((cos(t))^2 + (cos(t) - tsin(t))^2 + 1^2)

Now, we can find the principal unit normal vector by dividing r'(t) by its magnitude:

N(t) = r'(t) / ||r'(t)||

Let's evaluate the principal unit normal at t = T:

N(T) = (cos(T)i + (cos(T) - Tsin(T))j + k) / ||r'(T)||

To sketch the situation, we can plot the vector r(t) and the vector N(T) at the given value of t = T.

Learn more about vector from

https://brainly.com/question/28028700

#SPJ11

Answer:

i think it would just be 3

Step-by-step explanation:

since the surface area of one cube is 1 (1x1x1) and then there is 2 more, you would do 1+1+1 so yea i think its three

Answer:

37-9=28

Step-by-step explanation:

it was 28 F then rose 9 which is 37 so 37-9 =28

The  equation is  37 - 9= x.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

After the temperature rose 9°F, the thermometer read 37°F.

let  x be the temperature before the 9º increase.

So, 37 - 9= x

x= 28°F.

Hence, the equation is  37 - 9= x.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ5