Suppose you have the following information about a regression. s(e) = 1.04 b1 = 2.10 s(x) = 3.14 n = 10 For the slope estimate (b1), what is the value of the test statistic? a. 0.21 b. 19.09 c. 90.91 d. 4.76

The area of the rectangular parking lot is 929.03 square meters.

Use the formula for the area of a rectangle to calculate the area of the rectangular parking lot, which is given as:

Area = length × width

We know that the parking lot is 67.5 ft wide and 148 ft long, the area can be calculated as follows:

Area = 67.5 ft × 148 f

t= 9990 sq. ft

However, the question asks for the area in square meters, so we need to convert square feet to square meters. 1 square foot is equal to 0.092903 square meters, so we can use this conversion factor to convert square feet to square meters.

Area in square meters = Area in square feet × 0.092903

= 9990 sq. ft × 0.092903

= 929.03 sq meters

Therefore, the area is 929.03 square meters.

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The dot product of vectors a and b  || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.

The dot product of two vectors, we can use the formula:

a · b = ||a|| ||b|| cos(theta)

where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.

In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.

Substituting these values into the formula, we have:

a · b = 6 × 4 × cos(π/3)

To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:

a · b = 6 × 4 × 1/2

= 12

Therefore, the dot product of vectors a and b is 12.

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Note that after the expression 2x³-5x²-19x+42, has been factorized, we have (x−2)(x+3)(2x−7).

Factorization or factoring in mathematics is the process of expressing a number or any mathematical object as a product of numerous factors, generally smaller or simpler objects of the same sort.

The polynomial 2x³-5x²-19x+42 can be factorized by using the rational root test. To apply this test first we need to find at least one rational zero.

In this case one rational zero is x=2.

This means that we can divide polynomial 2x³-5x²-19x+42 by x−2 (the factor theorem)

That is:

2x³-5x²-19x+42/ x-2

= 2x² - x - 21, this means that

2x³-5x²-19x+42 =  (2x² - x - 21) * (x-2)

From the above, our constants are given as:

a = 2, b = -1 and c = 21

Multiply the constant terms by the leading coefficient.

a *x = -42

Find out two number that multiply to a*c = -42 and add b = -1

Next we identify all pairs of numbers with a product of -42. They are:

Next we find all factor pair that sum up to b = -1. It is given as 6 +-7 which is identical to item 8 above.

Next, replace the middle term -1x with 6x-7x to get:

(2x²  −x−21) * (x-2) =(2x²  +6x−7x−21) * (x-2)

If we thus apply factoring by grouping, and factor 2x out of the first group and -7 out of the second group, we have: (2x-7) (x+3) (x-2).

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Full Question:

Factorise 2x³-5x²-19x+42

Answer:

1) x³y²

2) 6x²y³

Step-by-step explanation:

hope it helps...

The simplified expression for (f ∘ g)(x) is 2 + x (option d).

To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.

Given:

f(x) = log₃(9x)

g(x) = \(3^x\)

Substituting g(x) into f(x):

(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)

Now, we simplify the expression:

log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)

Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:

log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x

Using the property logₓ\((x^a)\) = a * logₓ(x), we get:

log₃\((3^2)\) + x = 2 * log₃(3) + x

Since logₓ\((x^a)\) = a, where x is the base, we have:

2 * log₃(3) + x = 2 + x

Therefore, (f ∘ g)(x) simplifies to:

(f ∘ g)(x) = 2 + x

So, the correct answer is (d) 2 + x.

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Complete Question:

Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)

(a) 2x

(b) x

(c) \(27^x\)

(d) 2+x

(e) None of these.

Answer:

2

Step-by-step explanation:

2 bc 1 is 3 and your going down one so 0 is 2

Answer:

40\100= 4\10=0.4

Answer:

Percentage Form: 40/100 Decimal Form: 0.4 Word Form: 4 tenths

The coordinates of the center, the radial length and the equations of the circle with known centers and radial lengths are;

1. Center; (-2, 1), Radius; 6

2. Center (2, 3), Radius; 3

3. Center; (0, 2), Radius 5

4. The equation of the circle is; (x + 9)² + (y + 4)² = 16

5. The possible equation is; (x + 11)² + (y + 3)² = 16

The general form of the equation of a circle is presented as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The length of the radius of the circle

1. The comparison of the equation; (x + 2)² + (y - 1)² = 36, to the equation of a circle indicates that we get;

The coordinates of the center, (h, k) = (-2, 1)

The length of the radius of the circle, r = √(36) = 6

Therefore;

2. (x - 2)² + (y - 3)² = 9

The coordinates of the center is; (h, k) = (2, 3)

The length of the radius of the circle, r = √9 = 3

3. The comparison of the equation x² + (y - 2)² = 25 with the equation (x - h)² + (y - k)² = r², indicates that we get;

r² = 25

√(r²) = √(25) = 5

√(r²) = r

Therefore; r = 5

4. The coordinates of the center of the circle is; (-9, -4)

The radius of the circle is 4

Therefore;

(h, k) = (-9, -4)

r = 4

The equation of a circle is; (x - h)² + (y - k)² = r²

The equation of the circle is therefore; (x - (-9))² + (y - (-4))² = 4² = 16

5. The possible coordinate of the center is; (h, k) = (-11, -3)

The radius is r = 4

Therefore;

(x - (-11))² + (y - (-3))² = 4²

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researchers are interested in finding out if winning congressional candidates display more positive facial expressions than losing candidates. c. naturalistic observation

A study technique called naturalistic observation includes watching participants in their natural settings. Many psychologists and other social scientists employ this strategy. It is an approach to qualitative research that emphasizes gathering, analyzing, and describing non-numerical data.

When performing lab research would be impractical, expensive, or would adversely influence the subject's behavior, it may be helpful. Naturalistic observation is to capture behavior as it happens in its natural environment without intervention or efforts to change any of the factors. In a lab context, people frequently act differently than they would in the wild. Sometimes, researchers wish to watch their subject's behavior "in the wild".

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Answer:

19/20 punds

Step-by-step explanation:

I graduatiated 4th grade

For a straight line graph, the point at which the line crosses the y axis is called the y intercept. From the information given, the line crosses the y axis at - 5. This means that the y intercept is - 5

We would write the equation in the slope intercept form whicg is expressed as

y = mx + c

Where m represents the slpoe

We would substitute x = 2, y = 3 and c = - 5 in the equation above to determine the slope, m. It becomes

3 = m * 2 - 5

3 = 2m - 5

3 + 5 = 2m

2m = 8

m = 8/2

m = 4

The equation would be

y = 4x - 5y interceptF

The y intercept of the graph passing through points  (5, 0) and (0, -5) is -5.

The given graph is passing through points (5, 0) and (0, -5)

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

m= -5-0/0-5

m=1

Now let us find the y intercept

0 = 1(5)+b

b=-5

Hence, the y intercept of the graph passing through points  (5, 0) and (0, -5) is -5.

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The correct anwer is C I think... I hope That helps :)

||-//

Answer:

\(A : \frac{5}{8}\)

Step-by-step explanation:

Axis Interception points of \(\frac{5}{8}x - \frac{8}{7} :\) X intercepts: \((\frac{64}{35},0)\), Y intercepts: \((0, -\frac{8}{7})\)

Inverse of \(\frac{5}{8}x-\frac{8}{7}:\) \(\frac{56x+64}{35}\)

Slope of \(\frac{5}{8}x -\frac{8}{7}: m = \frac{5}{8}\)

Hope I helped, if so may I get Brainliest and a thanks?

Thank you, have a good one! =)

The electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.

To determine the electron domain charge cloud geometry of \(BrF_5\), we need to examine the number of electron domains around the central atom (Br).

\(BrF_5\) consists of one central bromine atom (Br) surrounded by five fluorine atoms (F). Each bond and lone pair of electrons represents an electron domain.

In \(BrF_5\), there are five bonding pairs (Br-F) and no lone pairs around the central bromine atom. Therefore, the total number of electron domains is five.

Based on this information, the electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.

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Step-by-step explanation:

the rate of change is officially

(f(x2) - f(x1)) / (x2 - x1)

but for a line function (as we have here) this is totally easy : it is the slope of the line.

and that means it is the factor of x.

in our case this is -3/2.

because the slope of a line is the ratio "y coordinate change / x coordinate change". and that is exactly corresponding to the general rate of change definition above.

Answer: (f(x2) - f(x1)) / (x2 - x1)

because the slope of a line is the ratio "y coordinate change / x coordinate change".

Step-by-step explanation: HOPE IT HELPS YOU .THANKS .

T-tests, F test for homogeneity of variance, and ANOVAs are all examples of parametric, inferential statistics.

So, the correct answer is C.

Parametric statistics assumes that the data being analyzed follows a normal distribution and that the samples being compared have equal variances.

T-tests are used to compare means between two groups, while ANOVAs are used to compare means across three or more groups.

The F test for homogeneity of variance is used to test if the variances between two or more groups are equal.

These tests are inferential statistics because they allow researchers to make inferences about a larger population based on a sample of data.

Hence, the answer of the question is C.

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If boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water, the distance from point A to point B is approximately 226.6 feet.

To find the distance from point A to point B, we can use the tangent function. Let x be the distance between point A and the lighthouse, and let y be the distance between point B and the lighthouse. We can then set up two equations based on the angles of elevation:

tan(13°) = 142/x

tan(20°) = 142/y

Solving for x and y, we get:

x = 142/tan(13°) ≈ 627.8 feet

y = 142/tan(20°) ≈ 401.2 feet

The distance between point A and point B is the difference between x and y:

x - y ≈ 226.6 feet

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Complete question is:

A boat is heading towards a lighthouse, whose beacon-light is 142 feet above the water. From point A, the boat’s crew measures the angle of elevation to the beacon, 13 degree, before they draw closer. They measure the angle of elevation a second time from point B at some later time to be 20 degrees . Find the distance from point A to point B. Round your answer to the nearest foot if necessary.

If the p-value is less than or equal to 0.05, we can say that there is enough evidence to support the alternative hypothesis. In other words, there is enough evidence to support the statement that the proportion of students who use a lab on campus is greater than 0.50.

Performing the hypothesis testFor the hypothesis test, it is necessary to determine the null hypothesis and alternative hypothesis. The null hypothesis is generally the hypothesis that is tested against. It states that the sample statistics are similar to the population statistics.

In contrast, the alternative hypothesis is the hypothesis that is tested for. It states that the sample statistics are different from the population statistics, and the differences are not due to chance.The null and alternative hypothesis are as follows:Null hypothesis: p = 0.50Alternative hypothesis: p > 0.50

The p-value is the probability of observing the sample statistics that are as extreme or more extreme than the sample statistics observed, given that the null hypothesis is true. The p-value is used to determine whether the null hypothesis should be rejected or not.

In hypothesis testing, if the p-value is less than or equal to the significance level, the null hypothesis is rejected, and the alternative hypothesis is accepted. Based on this significance level, if the p-value is less than or equal to 0.05, we reject the null hypothesis and accept the alternative hypothesis.

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express in coordinate pairs: (x,y)

h(3) = - 4 ⇒ 3,-4

h( - 2) = 16 ⇒ -2, 16

\(\tt slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{16-(-4)}{-2-3}=\dfrac{20}{-5}=-4\)

equation:

\(\tt y-y_1=m(x-x_1)\rightarrow m=slope\\\\y+4=-4(x-3)\\\\y=-4x+8\)

for h(2):

\(\tt y=-4(2)+8=0\)

h(2) = 0

Answer:

The answer is c

Step-by-step explanation:

just did it on edg

Answer:

The answer is: C

The rate of change of linear equation y = 26.5x is the slope of the equation.

The rate of change of the equation is 26.5

The equation is given as:

\(\mathbf{y = 26.5x}\)

The slope-intercept form of a linear equation is represented as:

\(\mathbf{y = mx + b}\)

Where:

m represents the slope.

So, by comparison, we have:

\(\mathbf{m = 26.5}\)

This means that, the rate of change of the equation is 26.5

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We know that 6x(-7) is -42 and we also know that 6+(-7) is -1.

So we can write

\(x^2+6x-7x-42\)

\(x(x+6)-7(x+6)\)

\((x-7)(x+6)\)

So our solutions are \(x=7,-6\)

Answer:

22.7142857143

Step-by-step explanation:

i did it on a calculator

plz give brainliest

Answer:

159/7

Step-by-step explanation:

5 times 4=20

20+3=23

23-2/7

159/7

1) We write the number that we want to find as:

Where x is the tens digit, and y is the unit digit.

2) Its reversed number is:

3) The sum of the number and its reverse is equal to 154:

4) One of the digits in the number is 2 less than the tens digit, so we have:

Replacing this in the previous equation that we found and solving for x:

So:

The number that we were looking for is:

Verification:

Answer: 86

The statement is true.

An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.

Given that,

From a linearly independent collection of {x₁, x₂,..., xp}, the gram-Schmidt process creates an orthogonal set of {v₁, v₂,..., vp} with the feature that for each k, the vectors v₁...vk span the same subspace as that spanned by x₁...xk.

Whether the claim is true or false must be determined.

The statement is true.

An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process. An orthogonal set is further linearly independent. The orthogonal set produced by the Gram-Schmidt process and the original set will cover the same subspace if their dimensions are the same.

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The function $f(x, y) = 11x - 5y$ has a global maximum of $105$ at $(0, 6)$ and a global minimum of $-54$ at $(0, -9)$, the first step is to find the critical points of the function.

The critical points of a function are the points where the gradient of the function is equal to the zero vector. The gradient of the function $f(x, y)$ is: ∇f(x, y) = (11, -5)

```

The gradient of the function is equal to the zero vector at $(0, 6)$ and $(0, -9)$. Therefore, these are the critical points of the function.

The next step is to evaluate the function at the critical points and at the boundary of the region. The boundary of the region is given by the inequalities $y \ge x - 9$, $y \ge -x - 9$, and $y \le 6$.

The function $f(x, y)$ takes on the value $105$ at $(0, 6)$, the value $-54$ at $(0, -9)$, and the value $-5x + 54$ on the boundary of the region.

Therefore, the global maximum of the function is $105$ and it occurs at $(0, 6)$. The global minimum of the function is $-54$ and it occurs at $(0, -9)$.

The first step is to find the critical points of the function. The critical points of a function are the points where the gradient of the function is equal to the zero vector. The gradient of the function $f(x, y)$ is: ∇f(x, y) = (11, -5)

The gradient of the function is equal to the zero vector at $(0, 6)$ and $(0, -9)$. Therefore, these are the critical points of the function.

The next step is to evaluate the function at the critical points and at the boundary of the region. The boundary of the region is given by the inequalities $y \ge x - 9$, $y \ge -x - 9$, and $y \le 6$.

We can evaluate the function at each of the critical points and at each of the points on the boundary of the region. The results are shown in the following table:

Point | Value of $f(x, y)$

The largest value in the table is $105$, which occurs at $(0, 6)$. The smallest value in the table is $-54$, which occurs at $(0, -9)$. Therefore, the global maximum of the function is $105$ and it occurs at $(0, 6)$. The global minimum of the function is $-54$ and it occurs at $(0, -9)$.

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