Lightbulbs act as resistors. Janine is building a circuit that contains two lightbulbs in parallel. One of the lightbulbs has a resistance of 120 ohms, but the resistance of the second lightbulb is unknown. She models the total resistance in the circuit, t, with this equation, in which r represents the resistance of the second lightbulb. T = 120 ⁢ r r + 120 Find the inverse of Janine’s equation. Big fraction Parentheses Vertical bars Square root Root Superscript (Ctrl+Up) Subscript (Ctrl+Down) Plus sign Minus sign Middle dot Multiplication sign Equals sign Less-than sign Greater-than sign Less-than or equal to Greater-than or equal to Pi Alpha Beta Epsilon Theta Lambda Mu Rho Phi Sine Cosine Tangent Arcsine Arccosine Arctangent Cosecant Secant Cotangent Logarithm Logarithm to base n Natural logarithm Bar accent Right left arrow with under script Right arrow with under script Angle Triangle Parallel to Perpendicular Approximately equal to Tilde operator Degree sign Intersection Union Summation with under and over scripts Matrix with square brackets

Step-by-step explanation:

Since it is equilateral the angle at the top is 60 °

for right triangles   sin (angle ) =  opposite leg / hypotenuse

                                 sin (60) = sqrt 6/ x

                                        x = sqrt 6 / sin (60) = sqrt 6 / sqrt(3)/2 =

                                                2 sqrt 2    = 2.83

After answering the provided question, we can conclude that As a result, circle we cannot conclude that Hip Hop and Pop are incompatible.

A circle seems to be a two-dimensional component defined as such collection of the all points in a jet that become equidistant from the hub. A circle is commonly portrayed with the capital "O" for centre and the lower section "r" for the radius, which is the distance from the origin to any point on the circle.

Girth (the distance from around circle) is given by the formula 2r, where (pi) is a proportionality constant roughly equal to 3.14159. The formula r² calculates the circle's circumference, which refers to the amount of room inside of the circle.

We can draw the following conclusions from the information in the circle graph:

Pop music is preferred by 35% of the sample, which means that 35% of 400 students, or 140 students, prefer pop music.

Jazz is the preferred music for 14% of the sample, which means that jazz is preferred by 14% of 400 students, or 56 students.

Hip Hop, Rock, and Jazz are preferred music by 52% of the sample, which means that these three genres are preferred by 52% of 400 students, or 208 students.

Hip Hop and Pop are preferred music by 60% of the sample, which means that 60% of 400 students, or 240 students, prefer these two genres together. As a result, we cannot conclude that Hip Hop and Pop are incompatible.

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Therefore , the solution of the given problem of equation comes out to be the number of dots is filled in below table.

Variable words are commonly used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic numbers. Instead of a single formula that separates 12 into two parts and can be used to assess received from y + 7, normalization in this case yields b + 7.

Here,

Given : A table with number of dots can be filled by this:

Here are the number of dots in each pattern:

Pattern Number of dots

1 4

2 7

3 10

4 13

5 16

6 19

7 22

8 25

9 28

10 31

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I inserted in an image below to help you with the rule.

The 1st point  is (6,1) . This becomes (1,-6).

The 2nd point is (-5,-6). This becomes (-6, 5)

Answer: $1626.10

Step-by-step explanation:

[tex]50 * 23 = 1150\\23 * 0.9 = 20.7\\20.7 * 23 = 476.1\\1150 + 476.1 = 1626.1[/tex]

There is no polynomials such that [tex]P(z)e^{\frac{1}{z} }[/tex] is entire.

Sums of elements of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the equation 3x+2x-5. a description of polynomials.

By the Taylor expansion, [tex]e^{\frac{1}{z} }[/tex] = ∑∞n= 0.

Let P(z)= (ad)zd+.......+a0.

For n>0, the coefficient of z-n in the expansion of [tex]P(z)e^{\frac{1}{z} }[/tex] is :-

[tex]tn= n^{a0} 1 + (n+1)!+.......+(n+d)![/tex]

So the Laurent expansion of [tex]P(z)e^{\frac{1}{z} } = 0[/tex]will have terms of the form tn2-n where an is not equal to zero.

if r is the smallest non negative integer such that ar is not equal to zero, then we see that we can rewrite:-

[tex]tn= (n^{1} +r)![ar+n^{ar+1} +1+.....+(n+r+d)....(n+d)][/tex]

as we know that [tex]\lim_{n \to \infty} (n+r+1+....+(n+r+d).....(n+d)=0[/tex]

so there exists an N∈N, such that:-

[tex]/ar/ > n+r+1+....+(n+r+d)....(n+d)=0[/tex]

HenHence tn is non zero for all n>N. In other words, expansion contains terms of negative powers.

So, apart from P(z)=0, there is no polynomials such that [tex]P(z)e^{\frac{1}{z} } .[/tex]

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In response to the stated question, we may state that y = 4x²-9 The discriminant is (-9)² - 4(4)(0) = 81. Since the discriminant is positive, there are two real solutions.

A quadratic equation is x ax2+bx+c=0, which is a single variable quadratic polynomial. a 0. Because this polynomial is of second order, the Basic Theorem of Algebra implies that it has at least one solution. Simple or complex solutions are possible. A quadratic equation is a quadratic equation. This means it has at least one word that must be squared. The formula "ax2 + bx + c = 0" is a common solution for quadratic equations. where a, b, and c are numerical coefficients or constants. where the variable "X" is unnamed.

y=x²-3x+2

The discriminant is (-3)² - 4(1)(2) = 1. Since the discriminant is positive, there are two real solutions.

y = 2x² - 4x +3

The discriminant is (-4)² - 4(2)(3) = -8. Since the discriminant is negative, there are no real solutions.

y=-3x² + 5x-1

The discriminant is (5)² - 4(-3)(-1) = 29. Since the discriminant is positive, there are two real solutions.

y = x’−5x−10

The discriminant is (-5)² - 4(1)(-10) = 65. Since the discriminant is positive, there are two real solutions.

y=x²+2x-1

The discriminant is (2)² - 4(1)(-1) = 8. Since the discriminant is positive, there are two real solutions.

y = 4x²-9

The discriminant is (-9)² - 4(4)(0) = 81. Since the discriminant is positive, there are two real solutions.

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The number of employees who judge their cleanliness in their workplaces are: P(x=0) = 0.0168, P(x=1)= 0.0896, P(x=2) =0.2090, P(X=3)= 0.2787,

P(X=4)= 0.2322, P(X=5)= 0.1239, P(X=6)= 0.0413, P(x= 7)= 0.0079 and P(x=8)= 0.0007.

Binomial distribution :

A binomial distribution is a distribution whose experiment has two possible outcomes, a success and failure. The outcomes of the experiment do not depend on each other. In probability theory and statistics, the binomial distribution with the parameters n and p is a discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes or no question, each with its own Boolean result. : success (with probability p) or failure (with probability q=1-p). A pass/fail experiment is also called Bernoulli's trial or Bernoulli's experiment, and a sequence of results is called Bernoulli's process; for a single trial, i.e. n = 1, the binomial distribution is the Bernoulli distribution.

According to the Question:

For n trials in a binomial distribution, the probability of getting success:

[tex]P(X=x) = \frac{n!}{(n-x)!x!} * p^x *q^{(n-x)}[/tex]

Where p = success

q = failure

n = 8, p= 40% = 0.4

q = 1-0.4 = 0.6

After calculating, we get the values:

P(x=0) = 0.0168,                               P(x=1)= 0.0896,

P(x=2) =0.2090,                               P(X=3)= 0.2787,

P(X=4)= 0.2322,                               P(X=5)= 0.1239,

P(X=6)= 0.0413,                                P(x= 7)= 0.0079

and P(x=8)= 0.0007.

Complete Question:

40% of employees judge their peers by the cleanliness of their workspaces. You randomly select 8 employees and ask them whether they judge their peers by the cleanliness of their workspaces. The random variable represents the number of employees who judge their peers by the cleanliness of their workspaces.

P(x)=0,1,2,3,4,5,6,7, 8

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It is important that our understanding and spreading of the gospel comes from the biblical text itself, and it is equal important that we continue to preach and defend the one true gospel. Jesus died and rose again for the forgiveness of our sins.

The word gospel occurs ninety-nine times in the NASB and ninety-two times in the NET Bible. In the Greek New Testament, the gospel is a translation of the Greek noun "good news" occurring 76 times and of the verb "to bring or announce good news" 54 times. Both words are derived from the noun angelos, "messenger". In classical Greek, euangelos is one who brings news of victory or other joyful political or personal news.

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Answer:

Isiah Thomas

Step-by-step explanation:

I amazing fact

Answer:

the correct answer is 4

Step-by-step explanation:

yea sorry i don’t know step-by-step

The mean of time between success is 0.2 minutes, rate parameter is 5 and probability that the time to succeed will be more than 55 minutes is approximately 0.000026 when Poisson random variable has a mean of 5 successes over a 125-minute period.

They can be found out by:

(A) The mean of the random variable defined by the time between successes can be found by using the fact that the Poisson distribution is memory less, which means that the time between successes follows an exponential distribution. The mean of an exponential distribution is equal to the reciprocal of the rate parameter, so:

 Mean of time between successes = 1 / rate parameter = 1 / 5 = 0.2 minutes

(B) The rate parameter of the exponential distribution can be found using the fact that the mean of the exponential distribution is equal to the reciprocal of the rate parameter, as derived in part a:

 rate parameter = 1 / mean of time between successes = 1 / 0.2 = 5

(C)The probability that the time to success will be more than 55 minutes can be found using the cumulative distribution function (CDF) of the exponential distribution with the rate parameter found in part b:

P(X > 55) = 1 - P(X <= 55) = 1 - F(55) = 1 - (1 - e^{(-5*55)}) = 0.000026 (rounded to 4 decimal places)

Therefore, the probability that the time to success will be more than 55 minutes is very small, approximately 0.000026.

The mean of random variable defined by time between success is 0.2 minutes, rate parameter of exponential distribution is 5 and probability that the time to succeed will be more than 55 minutes is approximately 0.000026 .

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Answer:

9 words

Step-by-step explanation:

We know

He has 12 words to memorize, and he is 3/4 done.

How many words has Pablo memorized so far​?

We Take

12 x 3/4 = 9 words

So, Pable has memorized 9 words.

Answer: (5a + 3)(b + 1)

Step-by-step explanation:

We can factor out the common factor of (b + 1) from both terms:

5a(b + 1) + 3(b + 1) = (5a + 3)(b + 1)

Therefore, the expression in complete factored form is (5a + 3)(b + 1).

Answer:Taking off: 2

Flying: 3

Landing: 4

Landing well enough you can use the plane again: 5

Landing well enough that your passengers will fly with you again: 6

Having the judgement and strength of character to say “I know I promised we'd fly home today, but the weather is bad so we're going to have to wait a day and miss that thing you wanted to go to”: 10

Step-by-step explanation:

Thus, the simplification of linear expression is : 8x + 3y +5 .

A linear equation is an integer number of the form y=mx+b, where m represents the slope when b is the y-intercept, and only a constant alongside a first-order (linear) term are included.

To simplify the linear equation-

Add or remove like terms from a linear expression to make it simpler. Contrary terms are not added to or withdrawn from. Reduce common factors and add brackets to factorise. Add like terms together and multiply all terms inside brackets by the term outside to expand.

Given linear equation-

= 2x + 5 - y + 6x + 4y

Add like term with same variable.

= 8x + 3y +5

Thus, the simplification of linear expression is : 8x + 3y +5 .

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The drawer contains 11 identical red socks and 8 identical black socks. Here are the answers to the questions below

a. What is the probability that you get a pair of red socks?The probability of getting a pair of red socks is the probability of selecting two red socks, which is: P(Red and Red) = P(Red) × P(Red | Red was first) = (11/19) × (10/18) = 55/171.

b. What is the probability that you get a pair of black socks?The probability of getting a pair of black socks is the probability of selecting two black socks, which is: P(Black and Black) = P(Black) × P(Black | Black was first) = (8/19) × (7/18) = 28/171.

c. What is the probability that you get 2 unmatched socks?The probability of getting two unmatched socks is the sum of the probability of selecting a red sock first and a black sock second and the probability of selecting a black sock first and a red sock second: P(Red and Black or Black and Red) = P(Red) × P(Black | Red was first) + P(Black) × P(Red | Black was first) = (11/19) × (8/18) + (8/19) × (11/18) = 88/171.

d. Where did the other red sock go? It's not clear from the information given. It could be missing or misplaced, or it could be in the drawer, but the problem doesn't provide enough information to determine what happened to it.

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Answer: The expression is undefined.

Step-by-step explanation:

Division by zero is undefined in mathematics. In this expression, there is a division by zero in the term 0/7. Therefore, the entire expression is undefined.

Answer: Maricopa Success invested $13,350 in CDs, $38,350 in bonds, and $23,300 in stocks.

Step-by-step explanation:

Let x be the amount invested in CDs.

Then, the amount invested in bonds would be (x + $25,000) and the amount invested in stocks would be ($75,000 - x - (x + $25,000)) = ($50,000 - 2x).

The annual income from the investments is $4,142.5, so we can set up the following equation:

0.0375x + 0.038(x + $25,000) + 0.103($50,000 - 2x) = $4,142.5

Simplifying the equation, we get:

0.0755x + $5,150 = $4,142.5

0.0755x = -$1,007.5

x = -$1,007.5 / 0.0755

x = $13,350

Therefore, the amount invested in CDs is $13,350.

The amount invested in bonds is $13,350 + $25,000 = $38,350.

The amount invested in stocks is $75,000 - $13,350 - $38,350 = $23,300.

So, Maricopa Success invested $13,350 in CDs, $38,350 in bonds, and $23,300 in stocks.

There are no fallacies of relevance committed by the given argument.

The following arguments commits fallacy: argumentum ad baculum. Argumentum ad baculum is a Latin phrase which means argument from a stick or appeal to force. It is a type of logical fallacy in which someone tries to persuade another person by using threats of force or coercion rather than using evidence or reasoning.

The above statement is an example of the argumentum ad baculum fallacy as it tries to use fear to convince people to join their protective organization. They are using the threat of potential losses to convince people to join. It is a manipulative strategy that attempts to scare people into joining by threatening the safety of their business.No fallacy is committed. There are no fallacies of relevance committed by the given argument.

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The Height of tree is around 8.33 feet tall.

In science, we work out the Height of an item utilizing distance and points. Distance is the even distance between the items, and point is the point over the level of the article's top, which gives the item's level.

We can utilize the rule of comparable triangles.

The hypotenuse of this triangle would be the line associating Jenny's eyes to the highest point of the tree (we should refer to this distance as "h").

We can set up the accompanying extent between the two triangles:

h / 20 = (h + 5) / 8

To solve for "h", we can cross-multiply and simplify:

8h = 20(h + 5)

8h = 20h + 100

12h = 100

h = 8.33 feet

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Answer: Caroline and Kym

Step-by-step explanation:

To determine which children have a tank big enough for an angelfish, we need to calculate the volume of each tank in cubic inches and convert it to gallons.

Caroline's tank: Volume = length x width x height = 16 x 14 x 9 = 2,016 cubic inches. Converting to gallons: 2,016 / 231 = 8.72 gallons. Caroline's tank is big enough for an angelfish.

Thomas's tank: Volume = length x width x height = 15 x 7 x 9.5 = 999.75 cubic inches. Converting to gallons: 999.75 / 231 = 4.32 gallons. Thomas's tank is not big enough for an angelfish.

Henry's tank: Volume = length x width x height = 14 x 12 x 9.5 = 1,596 cubic inches. Converting to gallons: 1,596 / 231 = 6.90 gallons. Henry's tank is not big enough for an angelfish.

Kym's tank: Volume = length x width x height = 14 x 11 x 10.5 = 1,683 cubic inches. Converting to gallons: 1,683 / 231 = 7.28 gallons. Kym's tank is big enough for an angelfish.

Therefore, Caroline and Kym have tanks that are big enough for an angelfish. Thomas and Henry do not.

P(∅) = 0, P(A∪B) = 0.4 , P(A∩B) = 0.1 ,Since the sample space is not defined in the question, we cannot calculate P(B'). Therefore, we cannot calculate P(A∩B').and  P(A∪B) = 0.4. are the required solutions ofgiven probability check .

a. The probability of an empty set is always zero. Therefore, P(∅) = 0.

b. The probability of the union of two events, A and B, is given by the formula P(A∪B) = P(A) + P(B) - P(A∩B). Substituting the values given in the question, we get:

P(A∪B) = P(A) + P(B) - P(A∩B)

= 0.3 + 0.2 - 0.1

= 0.4

Therefore, P(A∪B) = 0.4.

c. The probability of the intersection of A and B is given by the formula P(A∩B). Substituting the values given in the question, we get:

P(A∩B) = 0.1

Therefore, P(A∩B) = 0.1.

d. The probability of the intersection of A and the complement of B is given by the formula P(A∩B'). The complement of B is the set of all outcomes that are not in B. Since the sample space is not defined in the question, we cannot calculate P(B'). Therefore, we cannot calculate P(A∩B').

e. The probability of the union of A and B is given by the formula P(A∪B). Substituting the values given in the question, we get:

P(A∪B) = P(A) + P(B) - P(A∩B)

= 0.3 + 0.2 - 0.1

= 0.4

Therefore, P(A∪B) = 0.4.

In probability theory, the union of two events A and B is the set of outcomes that belong to either A or B or both. The intersection of two events A and B is the set of outcomes that belong to both A and B. The complement of an event A is the set of outcomes that do not belong to A. These concepts are fundamental in probability theory and are used extensively in solving various problems.

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the original number after simplification is 5600.

A fraction is a numerical quantity representing a part of a whole or a ratio between two numbers. It is expressed as one integer, called the numerator, written above a horizontal line, and another integer, called the denominator, written below the line.  For example, the fraction 2/5 represents two out of five equal parts or 2 divided by 5,

We can start by using the fact that 14.5% can be written as a decimal fraction 0.145.

Let X be the original number we want to find.

Then we can set up the following equation:

0.145 ×X = 812

To solve for X, we can divide both sides by 0.145:

X = 812 / 0.145 = 5600

Therefore, the original number is 5600.

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Rounding to the nearest cm², the area of the shaded region is 32 cm².

The area of a triangle is the measure of the region enclosed by the three sides of a triangle. It is measured in square units. The formula to find the area of a triangle is given as:

Area = 1/2 x base x height

where "base" is the length of the side of the triangle that is perpendicular to the height and "height" is the distance between the base and the opposite vertex.

The base and height can be any two sides of the triangle as long as the height is perpendicular to the base. If the base and height are not known, they can be found using the Pythagorean theorem or other trigonometric functions.

We can find the area of the shaded region by subtracting the area of triangle ABD from the area of rhombus ABCD.

To find the area of triangle ABD, we need to first find the length of BD. Since angle BAD is 70 degrees and ABCD is a rhombus, we know that angle BCD is also 70 degrees. Therefore, angle BXD is 70 degrees / 2 = 35 degrees.

Using trigonometry, we can find BD:

tan(35) = BD/9

BD = 9 tan(35)

BD ≈ 5.458 cm

To find the area of triangle ABD, we use the formula:

Area of triangle = (base x height) / 2

The base of triangle ABD is BD, which we just found, and the height is the perpendicular distance from A to BD. We can find this distance using trigonometry and the fact that angle BAC is 20 degrees:

tan(20) = height/9

height = 9 tan(20)

height ≈ 3.170 cm

Therefore, the area of triangle ABD is:

Area of triangle ABD = (BD x height) / 2

Area of triangle ABD = (5.458 x 3.170) / 2

Area of triangle ABD ≈ 8.661 cm²

The area of rhombus ABCD is:

Area of rhombus ABCD = (diagonal 1 x diagonal 2) / 2

Area of rhombus ABCD = (9 x 9) / 2

Area of rhombus ABCD = 40.5 cm²

Therefore, the area of the shaded region is:

Area of shaded region = Area of rhombus ABCD - Area of triangle ABD

Area of shaded region = 40.5 - 8.661

Area of shaded region ≈ 31.839 cm²

Rounding to the nearest cm², the area of the shaded region is 32 cm².

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The total area of the given shape is 71cm².

The size of a section on a surface is determined by its area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina. A shape's area can be calculated by contrasting it with squares of a known dimension. The square meter (abbreviated as m²), which is the area of a square whose sides are one metre long, is the common measure of area in the International System of Units (SI). Three such squares would be the same size as a shape with a three square metre surface.

The following figure can be divided into a rectangle 7cm x 8cm and a triangle of height and base 6 cm and 5 cm respectively.

Area of rectangle= 7*8= 56 cm²

Area of triangle= 1/2* base*height= 1/2*6*5 = 15 cm²

Total area of shape = 56+15= 71 cm²

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The pair that is the mean and standard error of x is [65, 2.236]. So, the correct option is a.

Suppose a random sample of 80 measurements is selected from a population with a mean of 65 and a variance of 300. We are required to select the pair that is the mean and standard error of x. The standard error of the mean (SEM) is calculated as follows :

$$SEM = \frac{\sigma}{\sqrt{n}}$$

Where σ is the standard deviation, and n is the number of observations or sample size.

Given that variance,

σ2 = 300

Therefore,

σ = √300 = 17.32.

Substituting the values in the formula, we have

$$SEM = \frac{\sigma}{\sqrt{n}} = \frac{17.32}{\sqrt{80}} = 1.9365$$

Therefore, the mean and standard error of x is [65, 1.936]. Option A is not the answer because the value of the standard error in that option is incorrect. Option B is not the answer because the value of the standard error in that option is incorrect. Option C is not the answer because the value of the standard error in that option is incorrect.

Option D is not the answer because the first value in that option is not the mean of x. Option E is incorrect because the value of the standard error is incorrect.

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The companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2 that is option C.

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste.

Toothpaste company

Large tubes

Small tubes

1) Sparkling

100 per hour

200 per hour

2) Bright White

100 per hour

250 per hour

3) Fresh!

200 per hour

250 per hour

4) Mint

150 per hour

150 per hour

Formula for comparative advantage is

CA=rate of producing large tubes/rate of producing small tube

For 1 Sparkling:

CA = 100/200

CA = 0.5

For 2 Bright White:

CA = 100/250

CA = 0.5

For 3 Fresh:

CA = 200/250

CA = 0.8

For 4 Mint:

CA = 150/150

CA = 1

thus, to place the companies in order of greatest comparative advantage to least comparative advantage in  producing large tubes of toothpaste is 4, 3, 1, 2.

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Complete question:

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in

producing large tubes of toothpaste.

2.1.3.4

4.1,2,3

4,3,1,2

Save and Exit

Next

Submit

Mark this and retum

Answer:

Step-by-step explanation:

we have perimeter 16

for perimeter 4+4+4+4 we add together it's 16

for area we have 4 times 16

(a) The null hypothesis is that the true average compressive strength of the mixture is less than or equal to 1300 KN/m2.

The alternative hypothesis is that the true average compressive strength of the mixture is greater than 1300 KN/m2.

(b) To find the P-value, we need to calculate the probability of getting a sample mean of 1340 or greater, assuming the null hypothesis is true. Using the sample size n=12 and sample standard deviation σ=67, the test statistic is (1340-1300)/(67/sqrt(12)) = 2.523.

The P-value is the probability of getting a value of 2.523 or greater from a t-distribution with 11 degrees of freedom, which is 0.0193.

(c) The test statistic when μ = 1350 follows a t-distribution with 11 degrees of freedom.

The mean of the test statistic is equal to the true value of the mean, which is 1350. The standard deviation of the test statistic can be calculated as σ/sqrt(n) = 67/sqrt(12) = 19.341.

To find the probability of a type II error with α = 0.01, we need to calculate the probability of accepting the null hypothesis when the true value of the mean is 1350.

This can be calculated using the t-distribution with 11 degrees of freedom and the critical value corresponding to α=0.01, which is 2.718. The probability of a type II error is the probability that the test statistic is less than 2.718 when the true value of the mean is 1350, which is 0.2157 (rounded to four decimal places).

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