Find the F-test statistic to test the claim that the variances of the two populations are equal. Both distributions are normal. The populations are independent. The standard deviation of the first sample is 4.8329
5.8304 is the standard deviation of the second sample.

Answer:

x= 21

y= 3

z= 21

Step-by-step explanation:

Let the center be O,

=> Triangle AOD is an Isosceles triangle so AO≅DO, "21 = x"

=> Line AC is divided in two equal parts by the center so if AO= 21 then

    7y = 21, and thus "y = 3"

=> BOC is also an Isosceles triangle so CO ≅ BO, if CO = 21 (7y → 7*3) then so will be BO. Therefore "z = 21"

Answer:Ben will roll an even number about 560 times if the number cube is rolled 1,000 times.

Step-by-step explanation:

Answer:

guru gossip and you can you invite me to the heading

Answer:

:-):-)

Step-by-step explanation:

1) p<1000

2)p>500

3)By combining the above two, we get: 500<p<1000

Andre will agree as he thinks that the no. of paper clips in the box is less than 1000. But lin will not as she thinks that the no. of clips is more than 500.

4)This time, they both will agree as the no. of paper clips is more than 500 but less than 1000.

Answer:

5

Step-by-step explanation:

Answer 424

Answer: y = 1

y = 2x+7 x = -3

y = 2(-3) + 7

y = 1

Answer:

Explanation: Realize that 4x2−25 is a difference of squares. Differences of squares, such as a2−b2 , can be factored into (a+b)(a−b) . Since 4x2=(2x)2 and 25=(5)2 , we can say that 4x2−25=(2x+5)(2x−5)

Step-by-step explanation:

Answer:

(2x + 5)(2x - 5)

Step-by-step explanation:

a² - b² = (a + b)(a - b)

4x² = 2²x²= (2x)²

25= 5* 5 = 5²

4x² - 25 = (2x)² -  5²         {a= 2x  ; b = 5}

             = (2x + 5)(2x - 5)

Answer:

m equals four means that you need to multiply the 4 by what is infront of the m aka the 4

Answer:

28[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

[tex]\sqrt{96}[/tex]

= [tex]\sqrt{16(6)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{6}[/tex]

= 4[tex]\sqrt{6}[/tex]

Then

7[tex]\sqrt{96}[/tex]

= 7 × 4[tex]\sqrt{6}[/tex]

= 28[tex]\sqrt{6}[/tex]

Answer:

[tex]0.80i +0.2j[/tex]

Step-by-step explanation:

The projection of u on v is expressed as;

[tex]proj_{v} u = \dfrac{u*v}{|v|^2} * v[/tex]

Given

u=1.6i+3.3j

v=-2.1i-.5j

u*v = (1.6i+3.3j )*(-2.1i-0.5j )

u*v = 1.6i(-2.1i) + 3.3j(-0.5j)

u*v = -3.36 - 1.65

u*v = -5.01

|v|² = (√(-2.1)²+(-0.5)²)²

|v|² = (-2.1)²+(-0.5)²

|v|² = 4.41+0.25

|v|² = 4.66

Substitute into the formula;

[tex]= \frac{1.71}{-5.01} * (-2.1i - 0.5j)\\= -0.3413 (-2.1i - 0.5j)\\= 0.8i + 0.17j\\= 0.80i +0.2j[/tex]

Answer:

8 people can go

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

C

Step-by-step explanation: 210 ft. 2

Answer:

It is not a function because there is a maximum.

Step-by-step explanation:

With 12 as the maximum it will not go on forever and functions do.

Ivy is going to the fair with a friend. They will buy cotton candy. They buy 9 bags of it. Each bag cost 2 dollars . What is C the total cost of all the cotton candy if G=2?

the derivative of y with respect to x, or dy/dx, for the given equation is y' = (y - 12x) / (1 - x).

We start by differentiating both sides of the equation with respect to x.

For the left-hand side, the derivative of y + 3 with respect to x is simply dy/dx, or y'.

For the right-hand side, we need to apply the product and chain rules.

Differentiating xy with respect to x gives us x(dy/dx) + y.

Differentiating -6x² with respect to x gives us -12x.

Putting it all together, we have y' + 0 = x(dy/dx) + y - 12x.

Rearranging the equation, we get y' = (y - 12x) / (1 - x).

Therefore, the derivative of y with respect to x, or dy/dx, for the given equation is y' = (y - 12x) / (1 - x).

learn more about chain rules here:

https://brainly.com/question/31585086

#SPJ11

The correct answer is option (c) W = 0.

Given information :F = 6xi + 6yj + 6zk; P1(4, 3, 5), P2(5, 6, 7)The formula for work done by the conservative force is given by: W = U(P2) - U(P1)Where U(P) is the potential energy at point P. The force is conservative. Hence, work done is independent of path and is equal to the difference in potential energy between points 1 and 2.To find the potential energy U at any point, we use the formula: U(x, y, z) = - ∫F.dr where F is the force, and dr is the infinitesimal displacement vector.

To find the potential difference between two points, we integrate the formula: W = - ∫F.dr over a path between those two points, P1 and P2.Now we will find the potential energy at points 1 and 2.∴U(P1) = -∫F.drbetween the limits (4,3,5) and (5,6,7)Let us take the path from P1 to P2 along the straight line. Then the position vector of the path is:r = (5 - 4) i + (6 - 3) j + (7 - 5) k = i + 3j + 2k.dr = dx i + dy j + dz k= i dx + j dy + k dz = i dt + 3j dt + 2k dt = (i + 3j + 2k) dt∴∫F.dr= ∫6x i . (i + 3j + 2k) dt + ∫6y j . (i + 3j + 2k) dt + ∫6z k . (i + 3j + 2k) dt= ∫6x dt + 3 * 6y dt + 2 * 6z dt= (6x + 18y + 12z) |_P1^P2= (6 * 5 + 18 * 6 + 12 * 7) - (6 * 4 + 18 * 3 + 12 * 5)= 30 + 108 + 84 - 24 - 54 - 60= 84Thus, U(P2) - U(P1) = 0 - 84 = -84. Hence, work done = -(-84) = 84Option (d) W = 180 is incorrect as the value of work done is 84.

Know more about potential energy here:

https://brainly.com/question/24284560

#SPJ11

Answer:

The value of X is 6.

Step-by-step explanation:

5 + 3 + 7 + 9 = 24

30 - 24 = 6

X = 6

The difference is 6.  

The inverse Laplace transform of f(t) is given by f(t) = t - 98δ(t - 2) - 15.

To find the inverse Laplace transform of F(s) = 8s^2 - 98e^(2s) - 15, we can use the linearity property and the table of Laplace transforms. Let's break down the expression into three terms.

The inverse Laplace transform of 8s^2 is obtained by looking up the corresponding entry in the table of Laplace transforms. From the table, we find that the inverse transform of s^2 is t.

The inverse Laplace transform of -98e^(2s) can also be found in the table. The entry for e^(as) is δ(t - a), where δ(t) represents the Dirac delta function. Therefore, the inverse transform of -98e^(2s) is -98δ(t - 2).

Lastly, the inverse Laplace transform of -15 is simply -15.

By applying the linearity property, we can add up the individual inverse transforms:

Inverse Laplace transform of F(s) = t - 98δ(t - 2) - 15.

Therefore, the inverse Laplace transform of f(t) is given by f(t) = t - 98δ(t - 2) - 15.

Know more about Property here:

https://brainly.com/question/29134417

#SPJ11

Answer:

45.94

Step-by-step explanation:

43.95*0.045=1.97775 rounds to 1.98.

1.98+43.95=45.94.

Hope this was helpful.

~cloud

The projection of the region D onto the xy-plane is an ellipse centered at the origin, with a major axis length of 4 and a minor axis length of 2.

To find the projection of the region D onto the xy-plane, we need to determine the intersection curve of the two paraboloids in the xyz-space. Setting the equations of the paraboloids equal to each other, we have:

3x^2 + y^2 = 16 - x^2.

Combining like terms, we get:

4x^2 + y^2 = 16.

This equation represents an ellipse in the xy-plane. To visualize the projection, let's rewrite the equation in terms of standard form:

(x^2)/4 + (y^2)/16 = 1.

Comparing this equation to the standard equation of an ellipse, (x^2)/(a^2) + (y^2)/(b^2) = 1, we can see that the major axis of the ellipse is along the y-axis, with a length of 4, and the minor axis is along the x-axis, with a length of 2.

Therefore, the projection of the region D onto the xy-plane is an ellipse centered at the origin, with a major axis length of 4 and a minor axis length of 2. The shape of the ellipse will have its major axis along the y-axis and its minor axis along the x-axis.

In summary, the projection of the region D onto the xy-plane is an ellipse centered at the origin, with a major axis length of 4 and a minor axis length of 2.

For more question on ellipse visit:

https://brainly.com/question/30727620

#SPJ8

Answer:

A

Step-by-step explanation:

the variable is how many times the two will be multiplied, so 2 times 0 equals 0, there by making the problem. -7= - 7

Answer:

that will be A. 0

Step-by-step explanation:

first, i flip the equation

2x - 7= -7

next, i add both side by 7

2x−7+7=−7+7

2x=0

and finally, you divided by 2

2x/2 = 0/2

you get x = 0

Answer:

1cesrutherford and Global business is the next 3.some 7th round and 50th 3 7th round ♥ in my car is a

Answer:

first is some and second is all

Step-by-step explanation:

PLEASE GIVE BRAINLIEST!!!!!!!!!!

Answer:

1. All

2. Some

Step-by-step explanation:

I belive this awnser is correct

Answer:

I need more info to answer that question.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The X is invisible and doesn't have a value causing the answer to still be 10.

No, if we reject a null hypothesis at the 10% significance level, it does not necessarily mean that we will also reject it at the 5% significance level.

Explanation:

Rejecting or not rejecting a null hypothesis depends on the level of statistical significance chosen for the hypothesis test. The significance level, often denoted as α, determines the threshold for accepting or rejecting the null hypothesis.

When we reject a null hypothesis at the 10% significance level, it means that the p-value associated with the test is less than 0.10. This suggests that the observed data provides strong evidence against the null hypothesis, and we can reject it.

However, the 5% significance level is a more stringent criterion. If we test the same null hypothesis at a lower significance level (α = 0.05), we require stronger evidence to reject the null hypothesis. Therefore, if the p-value is greater than 0.05 but less than 0.10, we would fail to reject the null hypothesis at the 5% significance level.

In summary, rejecting the null hypothesis at the 10% significance level does not guarantee its rejection at the 5% significance level. The decision to reject or fail to reject the null hypothesis depends on the chosen significance level and the corresponding p-value obtained from the hypothesis test.

Know more about the null hypothesis click here:

https://brainly.com/question/30821298

#SPJ11

The percent of the jerseys :

6 : 800 = 0,75%