write the equation of the line with (1,-7) and -1, in slope intercept form

In the context of hypothesis testing, a test statistic is; c. A value, determined from sample information, used to test the null hypothesis.

Hypothesis testing is defined as the method that is used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample. The null hypothesis is said to be a hypothesis where no important difference between the random variables

The test statistic is defined as a value that is computed from the sample data that is used when making a decision about whether or not to reject the null hypothesis.

Looking at the options and based on the definitions above, option C adequately describes the test statistic.

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The following options are true:

If a and b are invertible nxn matrices, then ab^t is invertible.

If b and c are inverses of a matrix a, then b = c.

If a and b are invertible nxn matrices, then ab^t is invertible.

For a matrix to be invertible, it must have a unique inverse. If a and b are invertible nxn matrices, it means that they have unique inverses. Taking the transpose of b, denoted as b^t, does not affect the invertibility of the matrix. Therefore, the product ab^t is also invertible.

If b and c are inverses of a matrix a, then b = c.

If b and c are inverses of a matrix a, it means that when they are multiplied with a in any order, the result is the identity matrix. The identity matrix is unique, and it is the only matrix that, when multiplied with another matrix, yields the same matrix. Since b and c both serve as inverses for a, they must be the same matrix in order to satisfy the condition for inverses. Therefore, b is equal to c.

In summary, the options that are true are:

If a and b are invertible nxn matrices, then ab^t is invertible.

If b and c are inverses of a matrix a, then b = c

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Answer: 2046

Step-by-step explanation:

:)

B answer

Step-by-step explanation:

b is the asnwwr because 6+5=11, 3+5=8, 0+5=5

TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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Step-by-step explanation:

hey i hope this helps idk if its clear enough but yeah

Answer:

I think elimination method will the the beat and easiest method we can use in that question,

The answer is =       U= D over T -kt

The possible number of ways of selection by using combination formula is 3060.

What is combination?

A grouping of items where the order in which they were chosen is irrelevant is known as combination.

Given that the number of people in the group is 18. Only 4 people will be member of the council.

The formula of combination is \(^{n}C_{r}=\frac{n!}{r!(n-r)!}\) , where r number of objects are selected from n objects.

In the given question the value of n is 18 and the value of r is 2.

Substitute the value of n and r in \(^{n}C_{r}=\frac{n!}{r!(n-r)!}\).

\(^{18}C_{4}=\frac{18!}{4!(18-4)!}\)

Solve the above expression:

18^C_4 = 18x17x16x15x14/4x14

18^C_4 = 18x17x16x15/4x3x2x1

3060 18^C_4 = 3060

The number of ways such selection is 3060.

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You would have $2,450 to buy to cover the cost of the membership.

An online buying club offers a membership for $245, for which you will receive a discount of 10 percent on all brand-name items you purchase.

We have to determine how much you would have to buy to cover the cost of the membership.

You have to buy to cover the cost of the membership = An online buying club offers a membership/Receive a discount

You have to buy to cover the cost of the membership = $245/10%

You have to buy to cover the cost of the membership = $245/0.10

You have to buy to cover the cost of the membership = $2,450

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Answer:

Below

Step-by-step explanation:

● a^(-2) *b^3

●(1/a^2) *b^3

● b^3 / a^2

The surface integral of the vector function (x, y, z) over the given parallelogram S, with parametric equations x = u v, y = u - v, z = 1/2u v, where 0 ≤ u ≤ 3 and 0 ≤ v ≤ 1, evaluates to 0.

To evaluate the surface integral, we need to calculate the dot product between the vector function (x, y, z) = (u v, u - v, 1/2u v) and the surface normal vector. The surface normal vector can be found by taking the cross product of the partial derivatives of the parametric equations with respect to u and v. The resulting surface normal vector is (v, -v, 1).

Since the dot product of (x, y, z) and the surface normal vector is (u v * v) + ((u - v) * -v) + ((1/2u v) * 1) = 0, the surface integral evaluates to 0. This means that the vector function is orthogonal (perpendicular) to the surface S, and there is no net flow of the vector field across the surface.

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Answer:

6

Step-by-step explanation:

The Coefficient is the number that multiplies a variable.

Answer:

Step-by-step explanation:

a). Perimeter of the kitchen = total length of all sides

                                              = 4 + 2 + 2 + 6 + 6 + 12 + 10  (Since side of one smallest square = 2 feet)

                                              = 42 ft

   Area of the kitchen = Area of the composite figure

                                     = 4² + 2² + (6 × 12)

                                     = 16 + 4 + 72

                                     = 92 square feet

b). Perimeter of bedroom = 2(length + width)

                                          = 2(12 + 8)

                                          = 40 feet

    Area of the bedroom = Length × Width

                                         = 12 × 8

                                         = 96 square feet

c). Perimeter of the bathroom = 2(9 + 4) = 26 feet

   Area of the bathroom = 9 × 4 = 36 square feet

d). Perimeter of the closet = 2(6 + 8) = 28 feet

   Area of the closet = 6 × 8 = 48 square feet

e). Area of the hallway = Total area of the floor plan - area of the (kitchen + bathroom + bedroom + closet)

  Area of the floor plan = 20 × 20 = 400 square feet

  Area of the hallway = 400 - (92 + 96 + 36 + 48)

                                    = 400 - 272

                                    = 128 square feet

Answer:

B

the answer of this question is option B

Two non-vertical lines in the same plane are said to be parallel if they have the same slope. No two parallel lines will ever cross. A set of non-vertical lines within the same plane are considered to be perpendicular if they meet at a right angle.

Perpendicular lines and parallel lines both meet at 90 degrees, although parallel lines never do. Lines are perpendicular if the slope of one line is equal to the reciprocal of the second line's negative slope.

Lines that have the same slope are therefore said to be parallel, and if the slope of one line is equal to the negative reciprocal of the slope of the other, the two lines are said to be perpendicular; otherwise, they are just intersecting lines.

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Answer:

D is the correct answer

Explanation:

the following function satisfies each output to its input for the set D

f(x)=x/2

let's check each pair:

0/2=0

-1/2=-0.5

-2/2=-1

-3/2=-1.5

-4/2=-2

the reason why A, B, and C can't be pairs of inputs and outputs x and y it's because a variable x can't have more than one y (that's a behaviour of an equation not a function!)

- in A x=-1 | y=2, -2 and this wrong

- in B x=3 | y=9, 16 and this wrong

- in C x=0 | y=0, 1 and this wrong

I hope this was helpful

Answer:

5x =324

Step-by-step explanation:

\(5x \div 9 =36\\\\5x = 36\times 9\\\\5x = 324\)

By the distribution,6.3 minutes is the time limit that 75.8% of college students go over when looking for a parking space in the library parking lot.

Given that,

Finding a parking spot in the library parking lot takes college students an average of 7.0 minutes, with a standard deviation of 1 minute, according to a normal distribution.

Find the window of opportunity that 75.8% of college students miss when looking for a place in the library parking lot.

The following formula calculates the z-score of a measure X of a normally distributed variable with mean μ and standard deviationσ:

Z=(X-μ)/σ

The z-score calculates how far the measure deviates from the mean by standard deviation.

The p-value for this z-score, which is the percentile of X, can be obtained by looking at the z-score table.

The cut-off time is the 100th percentile minus 75.8th percentile, or X, for Z = -0.7, so:

Z=(X-μ)/σ

-0.7=(X-7)/1

-0.7=X-7

X=-0.7+7

X=6.3

Therefore, 6.3 minutes is the time limit that 75.8% of college students go over when looking for a parking space in the library parking lot.

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Answer:

17

Step-by-step explanation:

hope it helps

Answer:

The value of the expression when k = 40 is 17.

Step-by-step explanation:

Please give the person that answered before me the brainiest because they deserve it, I just used their answer so you could choose brainiest.

If for every value of y*, x₁ is greater than x₂, the behavior of f(x) depends on the specific functional relationship between x and f(x). It cannot be determined without additional information about the function.

The given inequality statement, x₁ > x₂ for every y₁ > y₂, indicates that the value of x₁ is always greater than x₂ when comparing corresponding values of y₁ and y₂. However, this information alone does not provide insights into the behavior of f(x) because it does not define the relationship between x and f(x).

The behavior of a function is determined by its specific form or characteristics. Different functions can exhibit various behaviors, such as being increasing, decreasing, constant, or fluctuating. To understand the behavior of f(x), we would need additional information about the functional relationship between x and f(x). For instance, if f(x) is a linear function, we could determine its slope and determine whether it is increasing or decreasing. If f(x) is a quadratic function, we could analyze the concavity and locate critical points. Thus, without knowledge of the specific form of the function f(x), we cannot determine its behavior solely based on the given inequality.

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An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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Answer:

1. 7/9

2. 7/16

3. 3/7

4. 123/125

Step-by-step explanation:

1. Simplify the following:

2/9 + 5/9

2/9 + 5/9 = (2 + 5)/9:

(2 + 5)/9

2 + 5 = 7:

Answer: 7/9

_________________________

2. Simplify the following:

3/4 - 5/16

Put 3/4 - 5/16 over the common denominator 16. 3/4 - 5/16 = (4×3)/16 - 5/16:

(4×3)/16 - 5/16

4×3 = 12:

12/16 - 5/16

12/16 - 5/16 = (12 - 5)/16:

(12 - 5)/16

12 - 5 = 7:

Answer: 7/16

_____________________________________________

3. Simplify the following:

6/7×1/2

6/7×1/2 = 6/(7×2):

6/(7×2)

6/2 = (2×3)/2 = 3:

Answer: 3/7

__________________________________________________

4. Rewrite the decimal number as a fraction with 1 in the denominator

0.984=0.984/1

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 10^3 = 1000

(0.984/1)×(1000/1000)= 984/1000

Find the Greatest Common Factor (GCF) of 984 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8,

(984/8) = 123

(1000/8) = 125

Therefore

X=123/125

In conclusion,

Answer: 0.984=123/125

Answer:

0.53< I just did the quiz.

Step-by-step explanation:

Answer:

i think the answer is no i used tge desmo graphing calculator and tht point wasnt on it

We need to use 7 terms to estimate the value of ln(1.4) to within 0.0001.

A Maclaurin series is a function that is used to estimate the values functions, evaluate the sum, or determine the value of the anti-derivative of a function.

We have:

f(x)=ln(1+x)

Expansion of In(1+x) up to seven terms is:

In(1+x) = x - x^2/2 + x^3/3 - x^4/4 + x^5/5 - x^6/6+ x^7/7

Where it is known that -1 <= x <= 1

Put x=0.4 in the above series:

ln(1.4) = 0.4 - 0.4^2/2 + 0.4^3/3 - 0.4^4/4 + 0.4^5/5 - 0.4^6/6+ 0.4^7/7

We get:

ln(1+4) = 0.3365333

Therefore,  we need 7 terms to estimate the value of ln 1.4 to within 0.0001.

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Answer:

A.  Correct

B.  Correct

C.  Not correct

D.  Correct

E.  Not correct

Step-by-step explanation:

We are told that Michael's race numbers are:

5.25 miles

45.75 minutes

Divide the miles by the minutes to get mIchael's running rate:

0.114754098 mi/min

This result matches option B. " Michael's average pace was about 0.11 miles per minute."

======

Check all the answer options:

A. Michael's unit rate of minutes per mile was about 8.7.  

  Take 0.11475409 mi/min and invert it to find min/mile:

      1/(0.11475409 mi/min) = 8.71 min/mile

This is a correct statement.

B. Michael's average pace was about 0.11 miles per minute.

From above:  This is a correct statement.

C. Michael's unit rate of minutes per mile was about 6.9.

Take the given numbers:   (45.75 minutes)/(5.25 miles) = 8.71 min/mile

This is not a correct statement.

D. Michael's average speed during the race was about 6.9 miles per hour.  

Take the calculated rate of 0.11475409 mi/min and covert it to miles/hour:

  Use the conversion factor (60 min/1 hr)

   (0.11475409 mi/min)*((60 min/1 hr)) = 6.89 miles/hr

This is a correct statement.

E.  Michael ran about 8.7 miles in 1 minute.

We know from above that he runs at 6.89 miles per hour.  Running 8.7 miles in 1 minute  would mean he is running at (8.7)*(60) = 413 miles/hour.    

Perhaps he had some good energy bars, but the data do not support this conclusion.

This is not a correct statement.