6. Missing data, nonrandom samples, and outlying observations True or False: If the data for an observation on either the dependent variable or one of the independent variables are missing at random, then the size of the random sample available from the population must be reduced, which reduces the estimator's precision and introduces a bias.

Answer:

2 11/12 cups of flour

Step-by-step explanation:

2 recipes are 2 1/2 cups of flour  

1/3 is 1/3 x 1 1/4= 1/3 + 1/12= 5/12  

So, 2 11/12 cups of flour

Answer:

The area of Alison's pizza would be 30 in.

Answer:

The answer is 2

For the acellus people

Step-by-step explanation:

Answer:

132 ft³

Step-by-step explanation:

L=11    W=3   H=4

V=LWH

V=(11)(3)(4)

V=132 ft³

Answer:

maybe u should have paid attention in class buddy

Step-by-step explanation:

L

Answer:

here is a videos look it up on you tube and it might help

Step-by-step explanation:

search this

Interpreting graphs of proportional relationships

Answer:1

Step-by-step explanation:it is right

Answer: The answer is B

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2 cookies + 2 cookies = 4 cookies!

The more cookies the better!

Answer:

Step-by-step explanation:

x/50 = 12/24

24x = 600

x= 25

1/4 / 5 is equal to 4x5, or 20.

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hope it helps

Answer:

E(X) = 38.9346

Var(X) = 25.588

E(Y) = 38.25

Var(Y) = 26.1875

Step-by-step explanation:

Given - Four buses carrying 153 high school students arrive to Montreal. The buses carry, respectively, 36, 46, 32, and 39 students. One of the students is randomly selected.One of the 4 bus drivers is also randomly selected.

To find - Compute the expectations and variances of X and Y.

Proof -

Let us assume that,

X be The number of students that were on the bus carrying this randomly selected student.

Y denote the number of students on his bus.

Now,

E(X) =  [tex]\frac{36(36) + 46(46) + 32(32) + 39(39)}{153}[/tex]

       = [tex]\frac{5957}{153}[/tex]

       = 38.9346

⇒E(X) = 38.9346

Now,

E(Y) = [tex]\frac{36 + 46 + 32 + 39}{4}[/tex]

      =  [tex]\frac{153}{4}[/tex]

      = 38.25

⇒E(Y) = 38.25

Now,

Var(X) = [tex]\frac{36(36 - 38.9346)^{2} + 46(46 - 38.9346)^{2} + 32(32 - 38.9346)^{2} + 39(39 - 38.9346)^{2}}{153}[/tex]

          = [tex]\frac{310.0276 + 2296.3144 + 1308.5091 + 0.1668}{153}[/tex]

          = [tex]\frac{3915.0179}{153}[/tex]

          = 25.588

⇒Var(X) = 25.588

Now,

Var(Y) = E(Y²) - [E(Y)]²

          = [tex]\frac{36^{2} + 46^{2} + 32^{2} + 39^{2} }{4} - (38.25)^{2}[/tex]

          = [tex]\frac{5957}{4} - 1463.0625[/tex]

          = 1489.25 - 1463.0625

          = 26.1875

⇒Var(Y) = 26.1875

Answer:

can you give us the whole sheet?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that:

[tex]\int^2_0 \int^2_x \ sin (y^2) \ dy dx \\ \\ \text{Using backward equation; we have:} \\ \\ \int^2_0\int^2_0 sin(y^2) \ dy \ dx = \int \int_o \ sin(y^2) \ dA \\ \\ where; \\ \\ D= \Big\{ (x,y) | }0 \le x \le 2, x \le y \le 2 \Big\}[/tex]

[tex]\text{Sketching this region; the alternative description of D is:} \\ D= \Big\{ (x,y) | }0 \le y \le 2, 0 \le x \le y \Big\}[/tex]

[tex]\text{Now, above equation gives room for double integral in reverse order;}[/tex]

[tex]\int^2_0 \int^2_0 \ sin (y^2) dy dx = \int \int _o \ sin (y^2) \ dA \\ \\ = \int^2_o \int^y_o \ sin (y^2) \ dx \ dy \\ \\ = \int^2_o \Big [x sin (y^2) \Big] ^{x=y}_{x=o} \ dy \\ \\= \int^2_0 ( y -0) \ sin (y^2) \ dy \\ \\ = \int^2_0 y \ sin (y^2) \ dy \\ \\ y^2 = U \\ \\ 2y \ dy = du \\ \\ = \dfrac{1}{2} \int ^2 _ 0 \ sin (U) \ du \\ \\ = - \dfrac{1}{2} \Big [cos \ U \Big]^2_o \\ \\ = - \dfrac{1}{2} \Big [cos \ (y^2) \Big]^2_o \\ \\ = - \dfrac{1}{2} cos (4) + \dfrac{1}{2} cos (0) \\ \\[/tex]

[tex]= - \dfrac{1}{2} cos (4) + \dfrac{1}{2} (1) \\ \\ = \dfrac{1}{2}\Big [1- cos (4) \Big] \\ \\ = \mathbf{0.82682}[/tex]

Answer:

x = 4

Step-by-step explanation:

6(+4)=48

6+24=48

6+24=48

6+24−24=48−24

6=24

6=24

6/6=24

...

Answer:

Don't worry I will help to solve this problem OK.Sorry I don't understand please ask with other OK .

Step-by-step explanation:

base = 40

height = 16

Area of parallelogram = b×h = 40× 16= 640

Answer:

the area of the shaded area is 160 cm ²

Step-by-step explanation:

Hey There!

so the first step in solving this problem is to find the area of the whole shape

This is a trapezoid and the formula for area of a trapezoid is

[tex]A=\frac{a=b}{2} h[/tex]

a = base 1 (20)

b = base 2  (40)

h = height (16)

now we plug in the values

[tex]A=\frac{40+20}{2} 16\\40+20=60\\\frac{60}{2} =30\\30*16=480[/tex]

so the area of the trapezoid is 480

The next step is to find the area of the triangle

To do so we use this formula

[tex]A=\frac{hb}{2}[/tex]

h = height (16)

b = base (20)

now we just plug in the values

[tex]A=\frac{16*20}{2} \\16*20=320\\\frac{320}{2}=160\\[/tex]

The area of the triangle is 160

Answer:

Step-by-step explanation:

Divide the pentagon radially into 5 congruent, isosceles triangles.

Area of one triangle = ½×7.2×4.955 = 17.838 mm²

area of pentagon = 5×17.838 mm ≅ 89.2 mm²

The mistake is in the first step. You seem to want to divide through by 7, but you only did it correctly with the x ² term. What you should have after doing this is

7x ² + 9x + 2 = 0

→   x ² + 9/7 x + 2/7 = 0

This step isn't actually necessary to begin with since the starting quadratic is easily factorized:

7x ² + 9x + 2 = (7x + 2) (x + 1) = 0

Then

7x + 2 = 0   or   x + 1 = 0

7x = -2   or   x = -1

x = -2/7   or   x = -1

Answer:

Im pretty sure it is 48 but it could be 96

Step-by-step explanation:

I just found the area and halved that.

Answer:

1 7142.699082ft³  (C)

2 1063.420642cm³ (A)

Step-by-step explanation:

Hey There!

1. So for the first one we want to find the volume of the rectangular pool and the volume of the semi cylinder

The dimension given are

length - 45

width - 30

height - 5

to find the volume we use

[tex]V=lwh[/tex]

[tex]45*30=1350\\1350x5=6750[/tex]

so the volume of the rectangular pool is 6750ft³

now we need to find the volume of the semi cylinder

the dimensions given are

diameter - 20

height - 2.5

so we find the volume by using the volume for a cylinder then dividing by 2

the volume for a cylinder formula is

[tex]V=\pi r^2h[/tex]

r = radius

h = height

to find the radius given the diameter we just divide by 2

20/2=10 so the radius is 10

now we just plug in the values and get

[tex]V=\frac{1}{2} \pi 10^22.5[/tex]

Note: the 1/2 is added because were finding the volume of a semi cylinder

[tex]10^2=100\\100(2.5)=250\\250\pi =785.3981634\\\frac{785.3981634}{2} =392.6990817[/tex]

So the volume of the sitting area is 392.6990817

Now that we have found the volume of each part we add them together to get the answer

[tex]392.6990817+6750=7142.699082[/tex]

2. For the second one we need to find the volume of the cylinder and subtract it by the volume of the tennis ball..s times 4 ( because there are 4 of them)

For the cylinder we are given the dimensions

height - 39.5

diameter - 9.5

Remember this is the formula of the volume of a cylinder

[tex]V=\pi r^2h[/tex]

r =radius

h = height

to convert diameter to radius we divide by 2

9.5/2=4.75

now we plug in the values

[tex]V=\pi 4.75^239.5\\4.75^2=22.5625\\22.565(39.5)=891.21875\\891.21875\pi =2859.100642[/tex]

so the volume of the container is 2859.100642cm³

now we need to find the volume of the tennis ball

to do this we use the formula

[tex]V=\frac{4}{3} \pi r^3[/tex]

we are given the dimensions of

diameter - 9.5

once again to convert to radius we divide by 2

9.5/2=4.75

now we plug in the values

[tex]V=\frac{4}{3} \pi 4.75^3\\4.75^3=107.171875\\107.171875\frac{4}{3} =142.8958333\\142.8958333\pi =448.9205002\\448.9205002(4)=1795.682001[/tex]

So the volume of the tennis bal...ls is 1795.682001

note: i multiplied by 4 because there are 4 tennis bal...ls

our final step is to subtract the volume of the bal...ls from the container

2859.100642-1795.682001=1063.420642

hope this helps :)

Answer:

rrir

Step-by-step explanation:

e8

Answer:

4 7/15

Step-by-step explanation:

Hope this helps :)

Answer:

45% Of the cars are there

because it says 45% so I am pretty sure that is it