if any matrix has a zero entryon its main diagonal, then the matrix is necessar-ily singularT/F

Answer:

D. The work shown above is correct.

The standard error of this measurement is 6.32

The standard error of measurement is simply the estimate of how repeated measures of an entity on the same instrument tend to be distributed around the entity' “true” score.

In this case, we have the following parameters

Standard deviation = 20

Reliability = 0.90

The standard error of measurement from the standard deviation and the reliability is calculated using the following formula

Standard error of measurement = Standard deviation * √1 - reliability

Substitute the known values in the above equation, so, we have the following representation

Standard error of measurement = 20 * √1 - 0.90

This gives

Standard error of measurement = 20 * √0.10

Evaluate

Standard error of measurement = 6.32

Hence, the standard error in this case is 6.32

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Answer:

An algebraic expression is a compact way of describing mathematical objects ... the three main components of algebraic expressions are numbers, variables, and ... to be successful in writing or interpreting any given algebraic expression. ... a number increased by 4, x + 4 ... 11 more than the product of 3 and y, 3y + 11.

Step-by-step explanation:

The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.

To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.

By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.

We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.

Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.

For 45°:

sin(45°) = cos(45°) = 1/√2

tan(45°) = 1

Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.

Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.

Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.

Therefore, for the angle 255°:

sin(255°) = -1/√2

cos(255°) = 1/√2

tan(255°) = -1

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Yes, the sample size would be large enough if the population is school-aged children and young adults in the United States as this is a simple random sampling.

Simple random sampling is used for randomly selecting the sample size for research. No member in the population has a higher chance in comparison to others for selection in sampling. Every individual has an equal chance to be a part of the sample for the study. This is a type of probability sampling method.

The probability sampling method states that every individual has a fair and equal chance to be selected as a research sample. It includes simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Here the researchers have picked around 150 students and young adults which is an appropriate amount of simple random sample for the study.

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Answer:

The answer to this is B. y=32.55

The answer is C.........

A six-sided die is rolled, with the potential results being 1, 2, 3, 4, or 6. Gender and illness status are examples of categorical random variable data. A, B, AB, or O correspond to a person's blood type. A voter's potential choice for a political party, e.

Hence, the example is . the color of a piece of meat

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Answer:

A unique triangle will be produced if you are given: all three sides (Side-Side-Side) two sides and the included angle (Side-Angle-Side) two angles and the included side (Angle-Side-Angle)

Step-by-step explanation:

oof sorry I barely realized that I was supposed to select a number....sorry, but hope this helps :)

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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The stretch of an exponential decay function is y = 2(1/5)ˣ

From the question, we have the following parameters that can be used in our computation:

The list of exponential functions

An exponential function is represented as

y = abˣ

Where

In this case, the exponential function is a decay function

This means that

The value of b is less than 1

An example of this is, from the list of option is

y = 2(1/5)ˣ

Hence, the exponential decay function is y = 2(1/5)ˣ

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Complete question

Which is a stretch of an exponential decay function?

Of(x) = -(5)ˣ

Of(x) = 5(2)ˣ

O fix) = 2(1/5)ˣ

Answer:

yes same

Step-by-step explanation:

Answer:

7000 pounds

Step-by-step explanation:

theres 2000 pounds in a ton

3.5tons * 2000pounds = 700 tons

The distance between the fountain and the playground is approximately 10.8 yards.

To find the distance between the fountain and the playground, we can use the Pythagorean theorem.

Given:

Coordinates of the center of the park: (0, 0)

Fountain is 4 yards north of the center: (0, 4)

Playground is 10 yards east of the center: (10, 0)

Let's consider the distance between the fountain and the playground as the hypotenuse of a right triangle formed by the fountain, playground, and the center of the park.

Using the Pythagorean theorem, the distance between the fountain and the playground (hypotenuse) can be calculated as follows:

Distance^2 = (Difference in x-coordinates)^2 + (Difference in y-coordinates)^2

Difference in x-coordinates = 10 - 0 = 10 yards

Difference in y-coordinates = 4 - 0 = 4 yards

Distance^2 = (10)^2 + (4)^2

Distance^2 = 100 + 16

Distance^2 = 116

Taking the square root of both sides to find the distance:

Distance = sqrt(116)

Distance ≈ 10.8 yards (rounded to the nearest tenth)

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Answer:

Step-by-step explanation:

y²-x⁴

y=9, x=2

9²-2⁴ = 81-16 = 65

9514 1404 393

Answer:

  6 3/10 pounds

Step-by-step explanation:

The weight change will be found by multiplying the rate of change by the time.

  ∆w = (-1.8 lb/h)(3.5 h) = -6.3 lb

The total change in weight after 3 1/2 hours is 6 3/10 = 6.3 pounds.

Answer:

Option second, \(\frac{y+2}{3}\) = x

Step-by-step explanation:

y = 3x - 2

=> y + 2 = 3x

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

Therefore the second option is correct!

Hope this helps!

A rectangle's length is 5 inches greater than its width. if the perimeter of the rectangle is 42 inches, then the length is 13 inch.

A rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

here, we have,

a rectangle's length is 5 inches greater than its width.

if the perimeter of the rectangle is 42 inches

let, width = x

then, length = x+5

so, perimeter= 2(x+5 +x)

                      = 4x+10

ATQ, 4x+10 = 42

solving we get,

x=8

the length = 13

Hence, A rectangle's length is 5 inches greater than its width. if the perimeter of the rectangle is 42 inches, then the length is 13 inch.

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The zero vector of a null space is the vector that satisfies the equation Ax = 0, where A is a matrix and x is a vector.

In linear algebra, the null space (also called kernel) of a matrix A is the set of all vectors x such that Ax = 0. In other words, it is the set of all solutions to the homogeneous equation Ax = 0.

The zero vector of a null space is the vector that when multiplied by the matrix A results in the zero vector, which means that it is a solution to the homogeneous equation Ax = 0.

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Answer:

They will next toll together at  2 o'clock A.M.

Step-by-step explanation:

Given

Three Bells toll at regular interval of 15 minutes 16 minutes and 36 minutes respectively

They will ring together after time which will be LCM of 15, 16 and 36 minutes.

lets find LCM of 15,16,36

15 = 3*5

16 = 2*2*2*2 = 2^4

36 = 2*2*3*3 = 2^2 * 3^2

LCM is found by taking the highest power of each prime factor

highest powered value  of prime factors 2,3 and 5 is

5 is 5

2 is 2^4

3 is 3^2

thus, LCM = 2^4*3^2*5 = 16*9*5 = 720

Thus, they will ring together after 720 minutes

now

60 minutes = 1 hour

1 minutes = 1/60 hour

720 minutes = 720/60 hour = 12 hour.

Given that they rang together at  2 o'clock p.M

they will ring together after 12 hours at 2 PM

2 PM + 12 hours = 2 AM

Thus,

They will next toll together at  2 o'clock A.M.

Using the combination formula, it is found that:

1. A. 7 combinations are possible.

B. 21 combinations are possible.

C. 1 combination is possible.

2. There are 245 ways to group them.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Exercise 1, item a:

One letter from a set of 7, hence:

\(C_{7,1} = \frac{7!}{1!6!} = 7\)

7 combinations are possible.

Item b:

Two letters from a set of 7, hence:

\(C_{7,2} = \frac{7!}{2!5!} = 21\)

21 combinations are possible.

Item c:

7 letters from a set of 7, hence:

\(C_{7,7} = \frac{7!}{0!7!} = 1\)

1 combination is possible.

Question 2:

Three singers are taken from a set of 7, and four dances from a set of 10, hence:

\(T = C_{7,3}C_{10,4} = \frac{7!}{3!4!} \times \frac{10!}{4!6!} = 245\)

There are 245 ways to group them.

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The coordinates of B when it is given that A(5,-2) and M(12,6) is (29, 14).

If M is the mid-point of line segment AB, and the coordinates of A = (5,-2) while the coordinates of B = (12,6), then the coordinates of M = (8.5,2), which is what you stated that you got.

You are provided with M = (12,6) so you need to identify the coordinates of B. So, just ask yourself how did I get from A to M ? The answer is move 7 right and 8 up since 5 + 7 = 12 while -2 + 8 = 6. All you have to do is add 7 more to the x-value and 8 more to the y-value to obtain the correct answer of (19,14).

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Find the coordinates of B when it is given that A(5,-2) and M(12,6),

Answer:

Step-by-step explanation:

y = 10x + 100

y = 15x

15x = 10x + 100

5x = 100

x = 20 movies

Answer:

Terrance would run 20/4 of a mile or 5 miles

Step-by-step explanation:

i) The general solution to the system is then given by the following equation: \(y = (A + Bt)e^(-t)\)

where A and B are arbitrary constants.

ii)The solution to the initial value problem is then given by the following equation:

\(y = (a/(1 + b) + bt)e^(-t)\)

The system of linear equations can be written as follows:

r - y = 0

y'' - 2y' + et = 0

To solve the system using the elimination method, we can first subtract the first equation from the second equation. This gives us the following equation:

y'' - 2y' = et

We can then solve this equation using the integrating factor method. The integrating factor is\(e^(-2t)\). Multiplying both sides of the equation by the integrating factor gives us the following equation:

\((y'' - 2y')e^(-2t) = ete^(-2t)\)

The left-hand side of this equation is the derivative of \(ye^(-2t).\)Integrating both sides gives us the following equation:

\(ye^(-2t) = e^(-t) + C\)

where C is an arbitrary constant. We can then solve for y as follows:

\(y = (e^(-t) + C)e^(2t)\)

The general solution to the system is then given by the following equation:

\(y = (A + Bt)e^(-t)\)

where A and B are arbitrary constants.

To solve the initial value problem, we need to specify the values of y and y' at t = 0. Let y(0) = a and y'(0) = b. Substituting these values into the general solution gives us the following equation:

\(a = (A + B)e^0\)

\(b = -Ae0 + Be^0\)

Solving these equations gives us the following values for A and B:

A = a/(1 + b

B = b/(1 + b)

The solution to the initial value problem is then given by the following equation:

\(y = (a/(1 + b) + bt)e^(-t)\)

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The required answer is  [61.77, 69.23].

Given: Mean height of all 9th grade students at one high school is estimated as ≈65.5 Population standard deviation is σ = 3 inches. Number of samples n = 6Margin of error at 99% confidence level = 1.23Margin of error = E = z(σ/√n)Now, z = inv Norm(0.995) (as it is 99% confidence interval, α=0.01 and 1-α=0.99)⇒ inv Norm(0.995) = 2.58∴ E = 2.58(3/√6) = 3.73∴ The margin of error at the 99% confidence level is 3.73 inches .

Confidence interval = [sample mean - E, sample mean + E]=[65.5 - 3.73, 65.5 + 3.73] = [61.77, 69.23]

∴ The 99% confidence interval for the population mean height of all 9th-grade students at that high school is [61.77, 69.23].

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Answer:

perimeter=40in

area=120.71

Step-by-step explanation:perimeter= 5inches*number of sides

5*8=40in

PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction. The solution to the Expression (3^0 * 8^2)^-2 is 1/4096.

The expression (3^0 * 8^2)^-2, the order of operations, which is typically referred to as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Step 1: Simplify the exponent expressions within the parentheses:

(3^0 * 8^2) = (1 * 64) = 64

Step 2: Rewrite the expression with the simplified value:

(64)^-2

Step 3: Apply the exponent rule for a negative exponent:

(64)^-2 = 1 / (64)^2

Step 4: Evaluate the expression within the parentheses:

(64)^2 = 64 * 64 = 4096

Step 5: Rewrite the expression with the simplified value:

1 / 4096

Therefore, the solution to the expression (3^0 * 8^2)^-2 is 1/4096.

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Answer:

The bigger the number you divide by (the divisor), the smaller the resulting shares. Picture: Split a single pizza between 2 people, and each gets 1/2 a pie. Compare that to splitting it among 4 people - now each person gets less: only 1/4 each. 8 people? Still less: 1/8. Split the single pizza among 100? … Each gets, well, barely a bite! Suppose we start with 2 whole pizzas. Split between 2 people, now each gets 1 whole pie. Divide among 4, each gets 1/2 pie. Divide 8 ways, each gets 1/4.

The value of the fraction when 1/4 is divided by 2 is 1/8

Suppose we've to divide 'a' by 'b'

We write it as: \(a \div b\)
This can be written in fraction form as:

\(a\div b = \dfrac{a}{b} = {a} \times \dfrac{1}{b}\)

For this case, we have to divide 1/4 by 2 and express it into fraction form.

Thus, we get:

\(1/4 \div 2 = \dfrac{1/4}{2} = \dfrac{1}{4} \times \dfrac{1}{2} = \dfrac{1}{8}\)

Thus, the value of the fraction when 1/4 is divided by 2 is 1/8

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