Below you are given a partial Excel output based on a sample of 16 observations.
ANOVA df SS MS F
Regression 4,853 2,426.5 Residual 485.3 Coefficients Standard Error
Intercept 12.924 4.425 x1 -3.682 2.630 x2 45.216 12.560 Carry out the test of significance for the parameter β1 at the 1% level. The null hypothesis should _____.
a. be revised b. be rejected c. be retested d. not be rejected

Answer:

add 18 to both sides, giving you 3x = 96

the antiderivative of the function f(x) = 2 csc(x) cot(x) sec(x) tan(x) is F(x) = 2x + C.

To find the antiderivative F(x) of the function f(x) = 2 csc(x) cot(x) sec(x) tan(x), we can simplify the expression and integrate each term individually.

We know that csc(x) = 1/sin(x), cot(x) = 1/tan(x), sec(x) = 1/cos(x), and tan(x) = sin(x)/cos(x).

Substituting these values into the expression:

f(x) = 2 * (1/sin(x)) * (1/tan(x)) * (1/cos(x)) * (sin(x)/cos(x))

= 2 * (1/sin(x)) * (1/(sin(x)/cos(x))) * (sin(x)/cos(x)) * (sin(x)/cos(x))

= 2 * (1/sin(x)) * (cos(x)/sin(x)) * (sin(x)/cos(x)) * (sin(x)/cos(x))

= 2 * 1

= 2

The antiderivative of a constant function is simply the constant multiplied by x. Therefore:

F(x) = 2x + C

where C represents the constant of the antiderivative.

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Answer:

21.15 $

Step-by-step explanation:

Answer:

$21.15

Step-by-step explanation:

$2.35 x 9= $21.15

Hope this helps

Answer: 3x^2

Step-by-step explanation: Find the greatest common factor for the numerical part. For 3, 15, and 21 the greatest common factor is 3. Find the GCF for the variable part which is x^2. Multiply 3 and x^2 to get 3x^2.

Answer:

Step-by-step explanation:

Answer:

y = 8.40x

y = the total amount that he earned and x = the number of hours that he worked.

Step-by-step explanation:

Answer:

\(\frac{\sqrt{5} }{5}\)

Step-by-step explanation:

\(\frac{1}{\sqrt{5} }\)  multiply each side by \(\sqrt{5}\) which comes out to \(\frac{\sqrt{5} }{5}\)

Answer:

f(-6)= -8

Step-by-step explanation:

just look at where x is -6 and y is -8 so f(-6) is -8

Hopes this helps please mark brainliest

Answer:

atammy initially had $10 pay

Answer:

B. Tammy will type for 10 minutes each day.

C. Tammy initially had $4 pay.

D. Tammy will type for 4 minutes each day.

Step-by-step explanation:

I swear it is right. I got it wrong and so it told me the correct answer.

It should be 33.49 sorry if I’m a little off!

Mark's football team has scored about 24 points each game. they played 12 games this season. the best estimate for the total number of points they scored in the season is 250.

Estimation  is the process of finding an estimate or approximation, which is a value that is usable for some purpose even if input data may be incomplete, uncertain, or unstable. The value is nonetheless usable because it is derived from the best information available.

Thus, an estimate is the nearest possible number (approximation) to the answer.

Number of games = 12

Number of points per game = 24

Total number of points = 12 * 24 = 288

The nearest number to 288 among the options given is 250. Therefore, the best estimate for total number of points Mark's team scored is 250.

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Dogs are known to be highly Empathetic and can often recognize when their owners are in distress.

The study mentioned in the question further supports this idea. The study found that dogs were more likely to open the door to be with their distressed owners than in the control condition.

The null hypothesis for this test would be that there is no difference between the proportion of dogs opening the door in the distress condition and the control condition. The alternative hypothesis would be that the proportion of dogs opening the door is higher in the distress condition than in the control condition.

However, the evidence from the sample was not strong enough to support the alternative hypothesis, which means that there is not enough evidence to conclude that dogs are more compassionate when their owners are distressed.

On the other hand, when looking only at the dogs that did open the door, the study found that dogs in the distress condition reacted faster than dogs in the control condition.

The null hypothesis for this test would be that there is no difference in the mean time to open the door between the distress condition and the control condition. The alternative hypothesis would be that the mean time to open the door is smaller in the distress condition than in the control condition.

The evidence from the sample was strong enough to support the alternative hypothesis, which means that dogs do react faster when their owners are distressed. Overall, this study suggests that dogs are highly compassionate and can recognize and respond to their owners' distress.

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The real values of $c$ for which $x^2 + 16x + c$ is the square of a binomial are $64$ and $0$.

To find these values, we can use the concept of completing the square. For a quadratic expression to be the square of a binomial, the coefficient of the linear term ($16x$) must be twice the product of the square root of the constant term ($c$) and the square root of the coefficient of the quadratic term ($1$). In this case, the coefficient of the linear term is $16$ and the coefficient of the quadratic term is $1$. So, we have $16 = 2\sqrt{c}\sqrt{1}$.

Simplifying this equation gives $16 = 2\sqrt{c}$. Dividing both sides by $2$ yields $\sqrt{c} = 8$. Squaring both sides gives $c = 64$. Thus, $c = 64$ is one possible value.

Additionally, if we consider the case when $c = 0$, the quadratic expression becomes $x^2 + 16x + 0 = (x + 8)^2$. Therefore, $c = 0$ is another possible value.

In summary, the real values of $c$ for which $x^2 + 16x + c$ is the square of a binomial are $64$ and $0$.

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Answer:

150 miles

Step-by-step explanation:

(50 mph)(3 hrs) = 150 miles

Answer:

Step-by-step explanation: 10 but thanks green guy

Answer:

x = 10

Step-by-step explanation:

The triangle has 2 congruent sides and is therefore isosceles, then the 2 base angles are congruent, both 67°

The sum of the 3 angles is 180° , that is

4x + 6 + 67 + 67 = 180

4x + 140 = 180 ( subtract 140 from both sides )

4x = 40 ( divide both sides by 4 )

x = 10

Answer:

a. True.

Step-by-step explanation:

32k + 24 = 8(4k + 3)

32k + 24 = 32k + 24

32k - 32k = 24 - 24

0 = 0

Since 0 does equal 0, the statement is a. True.

Hope this helps!

Answer:

\(\Large \boxed{\mathrm{a. \ True}}\)

Step-by-step explanation:

\(32k+24\)

\(\sf Factor \ out \ 8 \ from \ the \ expression.\)

\(8(4k)+8(3)\)

\(8(4k+3)\)

\(32k+24=8(4k+3)\)

\(\sf The \ equation \ is \ true.\)

The measure of angle b is 108 degree.

An equilateral triangle is a plane figure with at least three straight sides and angles, and usually five or more. A polygon is a two-dimensional, closed shape that is flat or plane and is bounded by straight sides. Its sides are not curved. A polygon's edges are another name for its sides. The vertices (or corners) of a polygon are the places where two sides converge.

The total interior angles will equal to 180 * (6 - 2) = 720°.

∠B = 720 - 170 - 133 - 102 - 117 - 90 = 108°.

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Answer:

8x + (6x + 6) = 90°

x = 6°

Step-by-step explanation:

because it is a right angle, the sum of the angles = 90°

8x + (6x + 6°) = 90°

simplify:

14x + 6° = 90°

subtract 6° from each side:

14x = 84°

divide both sides by 14:

x = 6°

Answer:

6

Step-by-step explanation:

Since a right angle is 90 degrees, first you know that one is 6x + 6 degrees so first you do 90 minus 6 which will give you 6x + 8x = 84 degrees.

so then you do 6x + 8x so that is 14x so then you do 84/14. that is because you want to find what is the value of one x is. (14 is because the 8 plus 6.)

so yeah you get 6 from 84/14. that means x is 6. there's your answer.

just for some proof, let's do it backwards.                                                              So first, 8 times 6 is 48. and 6 times 6 is 36 plus 6 which is 42. then, we should find out 48 plus 42 equals 90. hey that's correct! that means our answer 6 is correct.

Answer:

51°

Step-by-step explanation:

A circle has a total of 360 degrees. So,

360 = 62 + 66 + x + 73 + x + 57

Next, combine like terms:

360 = 2x + 258

Next, isolate your variable by subtracting 258 from both sides:

102 = 2x

Finally, divide both sides by 2 to get x:

x = 51

Answer:

x = 51

Step-by-step explanation:

x + 73 + x + 57 + 62 + 66 = 360

2x + 258 = 360

2x = 360 - 258

2x = 102

\(\frac{x}{2} =\frac{102}{2}\)

x = 51

Okay, here we have this:

Considering the provided function, we are going to calculate the requested one-side limits, so we obtain the following:

Answer:

68.9 in^2

Step-by-step explanation:

first lets find the height of the blue triangle

hypotenuse = 15 in

one side is 12 in whereas other has to be find.

take 50 degree as reference angle

using sin rule

sin 50 = opposite/hypotenuse

0.76 = opposite/15

0.766*15 = opposite

11.49 = opposite

area of triangle = base*height/2

=12*11.49/2

=136.88/2

=68.94

=68.9 in^2

Answer:

A = 68.9 in²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) ab sinC ( a, b are 2 sides and C the angle between them )

Here a = 12, b = 15 and C = 50° , then

A = \(\frac{1}{2}\) × 12 × 15 × sin50°

   = 6 × 15 × sin50°

   = 90 × sin50° ≈ 68.9 in² ( to the nearest tenth )

Answer:

Solution given:

x+138°+50°=180°[co interior angle]

x+188°=180°

x=180°-188°

x=-8°

Answer:

x=8 degrees

Step-by-step explanation: (warning, hard to understand. Statistical Mathematics Used).

130 degrees x=130

180=y x 4 = 8/13

90=rightangle-56 degrees

=13

13-5=8

x=8 degrees

The assumption that is not typically associated with linear programming models is A) normality.

Linear programming models do not assume normality of the variables or the distribution of the data. Linear programming deals with optimizing linear objective functions subject to linear constraints, without any specific assumptions about the underlying distribution of the data. The focus is on finding the optimal solution within the feasible region defined by the constraints.

The other assumptions mentioned in the options are commonly associated with linear programming models:

B) Certainty: Linear programming assumes that all the data and parameters are known with certainty.

C) Divisibility: Linear programming assumes that variables can take fractional or continuous values. This assumption allows for finding optimal solutions that may involve non-integer values for the decision variables.

D) Linearity: Linear programming models assume that the objective function and the constraints are linear in nature. This means that the variables appear in a linear form, without any multiplication or exponentiation.

E) Nonnegativity: Linear programming assumes that the decision variables cannot take negative values, and they are nonnegative or zero.

These assumptions collectively form the foundation for linear programming models and help in formulating and solving optimization problems efficiently.

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Answer:

y = -3x

Step-by-step explanation:

Here, we want to deduce the relationship between x and y

From the question, we can see that the values of x are multiplied by -3 to give the y-values

So mathematically, the equation is;

y = -3x

Deb had 2 3/4 pounds of blueberries. Deb let her friend clarence eat 1/4 of the blueberries. Clarence ate 0.6875 pounds of blueberries.

To find out how many pounds of blueberries Clarence ate, we need to first convert the 2 3/4 pounds to a decimal. We can do this by dividing the numerator (3) by the denominator (4) and adding the result to the whole number (2).

2 3/4 pounds = 2 + (3/4) = 2 + 0.75 = 2.75 pounds

Now we know that Deb had 2.75 pounds of blueberries. To find out how many pounds of blueberries Clarence ate, we need to multiply this amount by the fraction of blueberries he ate (1/4).

2.75 pounds x 1/4 = 0.6875 pounds

So Clarence ate 0.6875 pounds of blueberries.

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Answer:

48.8 years

Step-by-step explanation:

A=p(1+r/n)^nt

A= total amount

p= initial investment (800_

r/n= annual interest rate over number of years( 2.25)

t= number of years compounded ( annually , biannually, quarterly etc.)

48.8 years

The equation for the exponential function is f(x) = (4.5)((0.5/4.5)-1/2)x. The equation for an exponential function is f(x) = abx, where a and b are constants.

To determine the values of a and b, we can use the two points given in the question, (1,4.5) and (-1,0.5).

Let's substitute the point (1,4.5) into the equation.

f(1) = a*b1
4.5 = a*b

Now let's substitute the point (-1,0.5) into the equation.

f(-1) = a*b-1
0.5 = a*b-1

We can now solve for a and b.

a = 4.5 / b
b-1 = 0.5 / a
b-1 = 0.5 / (4.5/b)
b-1 = 0.5b/4.5
b-2 = 0.5/4.5
b = (0.5/4.5)-1/2

Thus, the equation for the exponential function is f(x) = (4.5)((0.5/4.5)-1/2)x

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Answer:

60

Step-by-step explanation:

If there are 300 calories in 100g of Bill's food, then we can divide 5 on both  sides to find the number of calories in a 20g portion of this food: 300/5=60 calories.

Terminal Value is a crucial component of DCF analysis that captures the remaining value of the target beyond the projection period. It helps to estimate the total value of a company or asset, taking into account the expected future cash flows.

DCF analysis is a valuation method used to estimate the value of an investment based on its expected future cash flows. In this method, future cash flows are projected, and then discounted back to their present value using a discount rate. This is done to account for the time value of money, which means that money received in the future is worth less than money received today.

In a DCF analysis, Terminal Value is used to capture the remaining value of the target beyond the projection period. The Terminal Value is the estimated value of a business or asset beyond a specific forecast period, based on the assumption that the company will continue to generate cash flows into perpetuity. It is the final value of the company or asset that is used to determine its total value.

The reason for using Terminal Value is that most businesses are expected to operate indefinitely, so it is necessary to account for the value of future cash flows beyond the forecast period. The Terminal Value can be calculated in several ways, such as by applying a terminal multiple to the final year's projected cash flows or by using the perpetuity growth method, which assumes a constant growth rate in perpetuity.

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