please i need help with this question (7^6)^2

Note that:

\(\int f(x) \text{ } dx=-e^{-x/5}+C\)

Part (b)

\(\int^{1}_{0} f(x) \text{ } dx =-e^{-1/5}+e^{0} \approx 0.1813\)

Part (c)

\(\int^{\infty}_{0} f(x) \text{ } dx =1.0000\)

Part (e)

\(\int^{6}_{1} f(x) \text{ } dx \approx 0.5175\)

The value of adjusted R^2 is the closest to 0.66. So the option d is correct option.

In the given question,

A multiple regression model with four explanatory variables is estimated using 25 observations.

SSE = 660 and SST = 1,000.

We have to find the value of adjusted R^2.

We know ,

R^2 = SSE/SST

R^2 = 660/1000

R^2 = 0.66

and, we know ,\(R_{adj}^2 \ngtr R^2\) and should be close to R^2.

So, adjusted R^2 should be close to 0.66.

Note :

\(R^2_{adj}\) = 1- (n-1)/(n-p-1) (1-R^2)

where , n = no. of observations and p = no. of independent variables .

So, \(R^2_{adj}\) = 1- (24)/(20) (1-0.66)

\(R^2_{adj}\) = 0.592 which is close to 0.66.

Hence, the value of adjusted R^2 is the closest to 0.66. So the option d is correct option.

To learn more about explanatory variables link is here

brainly.com/question/29820449

#SPJ4

After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

For more such questions on Quadrilateral:

https://brainly.com/question/27991573

#SPJ8

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

Let X represent the number of cars sold a salesman at a dealership in one week.

The moment generating function of X is \(M(t) = 0.45e^t + 0.30e^2t +0.25e^3t\) .the variance of X is 4.02.

Calculate the variance of X

The formula for the variance of X is;

Var(X) = E(X²) - [E(X)]²

To compute the variance of X, we would first calculate E(X) and E(X²).

The formula for E(X) is;

E(X) = M'(0)

where M'(t) is the derivative of the moment generating function M(t) with respect to t.

M'(t) = \((0.45e^t) + (0.30 × 2e^2t) + (0.25 × 3e^3t)\)

M'(0) = 0.45 + 0.60 + 0.75

M'(0) = 1.8E(X) = 1.8

The formula for E(X²) is;

E(X²) = M''(0) + [M'(0)]²

where M''(t) is the second derivative of the moment generating function M(t) with respect to t.

M''(t) = \((0.45e^t) + (0.30 × 4e^2t) + (0.25 × 9e^3t)\)

M''(0) = 0.45 + 1.2 + 2.25

M''(0) = 3.9E(X²) = 3.9 + (1.8)²

E(X²) = 7.14

The variance of X is;

Var(X) = E(X²) - [E(X)]²

Var(X) = 7.14 - (1.8)²

Var(X) = 4.02

Therefore, the variance of X is 4.02.

for such more question on variance

https://brainly.com/question/30884734

#SPJ11

Answer:

the answer as a fraction is 3/7 and not a fraction it is 43 and the answer as a

unit rate is .43

Step-by-step explanation:

correct me if im wrong

Answer:

Step-by-step explanation:

Use trigonometry:

Answer:

Therefore, the correct statements are A, B, and E.

Explanation:

Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.

To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀

.

- The component form of −4⇀

is obtained by multiplying each component of ⇀

by –4. Therefore, −4⇀

= ⟨–8, –12⟩. This means that statement A is true.

- The magnitude of −4⇀

is obtained by multiplying the magnitude of ⇀

by 4. The magnitude of ⇀

is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀

is 4√13. This means that statement B is true.

- The direction of −4⇀

is opposite to the direction of ⇀

because the scalar –4 is negative. This means that statement C is false.

- The vector −4⇀

is in the third quadrant because its components are both negative. This means that statement D is false.

- The direction of −4⇀

is 180° greater than the inverse tangent of its components because it is opposite to ⇀

. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀

is 180° + tan^(-1)(3/2). This means that statement E is true.

Therefore, the correct statements are A, B, and E.

The solution of Equation are (5/2, 4/3).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

3x+5y=14..........(1)

6x - 4y=9..............(2)

Solving equation (1) and (2) we get

3x + 5y = 14

Subtract 3x from both sides.

5y = 14 - 3x

Divide by 5 on both sides.

y = -3/5x + 14/5

and, 6x - 4y = 9

Subtract 6x from both sides.

-4y = 9 - 6x

Divide by -4 on both sides.

y = 3/2x - 9/4

From the graph we get

x = 2.405

y= 1.375

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ1

The statements which describe the transformation on the left are:

A transformation refers to the movement of a point from its original position to a new location. Hence, when an object is transformed, all of its points would also be transformed.

Based on the image of these geometric figures (see attachment), we can infer and logically deduce that the following statements describe the transformation on the left:

Read more on transformation here: https://brainly.com/question/12040896

#SPJ1

Answer: a,b,d that´s the answer

Step-by-step explanation

Step-by-step explanation:

I hi0vkxihx FDI hs you gjvjz lhjckvif oghkkvxtosuikvc. nihdx hi I do it ch

Answer:

(-6,-9)

Step-by-step explanation:

I hope it really helps you

Answer:

kelly would of hit the ball 90 times in 150 seconds

Step-by-step explanation:

you take 30 and divide it by 50 and you get 0.6.

then you take 0.6 and times it be 150

Answer:

90 times

Step-by-step explanation:

The equation set-up for if she bounces a basketball 30 times in 50 seconds is 30x=50. This means that she bounced the ball every 1 2/3 second. According to this, our next equation set-up would be 1 2/3x=150. If we divide 150 by 1 2/3, we get 90. This means that Kelly bounced the basketball 90 times in 150 seconds.

Based on the information, the hedgehogs have made the better offer

The Turkeys are offering a yearly salary of S(t) = 90000t over the course of eight years. To calculate the present value of each payment, an equation is used:

PV = S(t) * e^(-rt)

The variable "r" denotes a continuous interest rate of 0.03. "t" equals the years from t=0 to the time of payment. By this method, the current value of the Turkeys' offer can be assessed as follows:

PV(Turkeys) = ∫[0,8] 90000t * e^(-0.03t) dt

= 736,918.63

Comparatively, the Hedgehogs propose a yearly salary of S(t) = 80000t for nine years. Utilizing the formula employed in the previous scenario, the following result is derived:

PV(Hedgehogs) = ∫[0,9] 80000t * e^(-0.03t) dt

= 753,472.49

Given these calculations and the presumption that Rogelio may earn a continuous interest rate of 3% on his funds, it would best serve him to accept the Hedgehogs’ item offer since they have offered him a more favorable contract based on the accumulated present value of both contracts.

Learn more about present value on

https://brainly.com/question/30390056

#SPJ1

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

The answer is b.

Answer:

7606.62

Step-by-step explanation:

Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.

\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)

Now just equate this to a time 0 payment at the same rate

\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)

As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.

Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

The perimeter and the area of the rectangle are 26 units and 42 square units, respectively.

A rectangle is a quadrilateral with all four interior angles 90°.

Given that, the vertices of the rectangle are (-3.5,3), (3.5,3), (3.5,-3), and (-3.5,-3).

The length of the  rectangle is:

l = 3.5 - (-3.5)

l = 3.5 + 3.5

l = 7

The width of the rectangle is:

w = 3-(-3)

w = 3 + 3

w = 6

The perimeter of the rectangle is given by:

P = 2 (l +w)

P = 2(7 + 6)

P = 26

The area of the rectangle is:
A = l × w

A = 7 × 6

A = 42

Hence, the perimeter and the area of the rectangle are 26 units and 42 square units, respectively.

Learn more on rectangles here:

https://brainly.com/question/15019502

#SPJ1

Answer:

I think the answer is c

Answer:

The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.

The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.

If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).

Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.

Solving for x, we get x=2/3.

Therefore, the cocoa types A and B are mixed in the proportion 2:1.

The numerical value of x in the similar pair of triangle is 10.

A ratio is simply the relation between two amounts showing how many times a value is contained within another value.

From the diagram,

Side A of the small triangle = 10

Side B of the small triangle = x + 2

Side A of the Big triangle = 10 + x

Side B of the big triangle = x + 14

Hence;

Ratio of Side A to Side B of the small triangle = 10 / x + 2

Ratio of Side A to Side B of the Big triangle = 10 + x / x + 14

Since the triangle area similar, equate the two ratio and solve for x.

10 / ( x + 2 ) = ( 10 + x ) / ( x + 14 )

Cross multiply

10( x + 14 ) = ( 10 + x )( x + 2 )

Expand using FOIL method

10x + 140 = 10x + 20 + x² + 2x

10x + 140 = x² + 12x + 20

x² + 12x + 20 = 10x + 140

x² + 12x + 20 - 10x - 140 = 0

x² + 2x - 120 = 0

Factor the left side of the equation

( x - 10 )( x + 12 ) = 0

Hence;

x - 10 = 0 and x + 12 = 0

x = 10 and x = -12

Since the dimension of the triangle cannot be negative,

x = 10

Therefore, the value of x is 10.

Learn more about FOIL Method here: brainly.com/question/28527940

#SPJ1

6.

(a)

The slope for the side AB is:

The slope for the side BC is:

The slope for the side DC is:

And the slope for AD is:

(b) According to the previous results:

(c) Since it has two pairs of parallel sides, also, The opposite sides are of equal length, we can conclude that this figure is a parallelogram

Step-by-step explanation:

how many ways can the coach make out the batting order? 9! = 9 · 8 · 7 · 6 · 5 ·4 · 3 · 2 · 1 = 362,880 .

Answer:

A

Step-by-step explanation:

Answer:

i think A is the answer

Step-by-step explanation:

5.5 is worth more than 5.05 is this is not what ur asking plz clarify :)

Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.