18. Describe the shape of the data distribution.

Answer:

an = 56-8(n-1)

Step-by-step explanation:

This is an arithmetic sequence

The common difference is 48 - 56 =-8

a1 = 56

an = a1+d(n-1)

an = 56-8(n-1)

The region of integration in the xy-plane for the given integral ∫∫R √(4xy) dy dx, where R is the region bounded by x = 0, x = -3, y = 0, and y = -9 - x^2, can be visualized as a triangular region in the first quadrant.

The given integral is a double integral of the function √(4xy) over a specific region in the xy-plane. To determine the region of integration, we consider the given bounds: x ranges from 0 to -3, and y ranges from 0 to -9 - x^2.

Starting with the x bounds, x = 0 represents the y-axis, while x = -3 represents a vertical line passing through the point (-3, 0). Thus, the region is bounded by the y-axis on the left and the vertical line x = -3 on the right.

Moving on to the y bounds, y = 0 represents the x-axis, while y = -9 - x^2 represents a downward-opening parabola with its vertex at the origin and its axis of symmetry parallel to the y-axis. Since y is negative, the parabola lies below the x-axis.

By combining the x and y bounds, we obtain a triangular region in the first quadrant. The triangle is formed by the x-axis, the line x = -3, and the curve y = -9 - x^2. This region of integration represents the area over which the function √(4xy) is being integrated.

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Answer: Volume is 140

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

3*5*10*6=900

Answer:

Domain: -4 < x < 4

Zeros: (-2, 0), (0, 0) and (2, 0)

The function is positive if: 0 < x < 2

The function is negative if: -4 < x < 0 and 2 < x < 4

Step-by-step explanation:

Domain of the function are those x values where the function is defined, For this case, -4 < x < 4

Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)

The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)

The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)

Answer:172in

Step-by-step explanation:

Answer:

SA=172

Step-by-step explanation:

SA=2lw+2wh+2lh

=2(10)(2)+2(2)(5.5)+2(10)(5.5)

=172

Answer: the answer is B1/17

Step-by-step explanation:

Answer:

3:2 and 21:14

Step-by-step explanation:

The same side on the larger and smaller cylinders is 30 and 20 respectively or 18 to 12

Simplify:

30:20 => 3:2

18:12 => 3:2

Therefore, the answer is 3:2

However, in addition you can multiply 3 by 7 to get 21 and 2 by 7 to get 14, so 21:14 also works

Answer:

= 6^13

Step-by-step explanation:

6^3 • 6^10

= 6^3 • 6^10

= 6^(3 + 10)

= 6^13

Answer:D

Step-by-step explanation:

A. 6^3 * 6^10 = 6^13

It has the same base so you will make it stay the same and add the exponents.

The question is incomplete

Find attached to the question, the appropriate diagram

Answer:

a) landing on an unshaded sector and landing on a number less than 2

b) landing on a shaded sector and landing on a 3

Step-by-step explanation:

Mutually exclusive events are two events that can occur separately on their own but they cannot occur together or at the same time.

The options given are explained below:

We have two shaded sectors: 1 and 4

We have two unshaded sectors : 2 and 3

a) landing on an unshaded sector and landing on a number less than 2

Looking at option a, we find out that it is possible for the spinners to land on an unshaded sector separately likewise on a number less than 2 but it cannot land on an unshaded sector AND and number less than 2 because looking at the spinner, the numbers on the unshaded sectors are 2 ( is equal to two) and 3 ( which is above 2).

Therefore this option is mutually exclusive and correct.

b) landing on a shaded sector and landing on a 3

It is possible to land on a shaded sector likewise it is possible to land on a 3 but it is not possible to land on a shaded sector and land on a 3 at the same time.

This is because, the number on the shaded sector is 1 and 4 and the number on the unshaded sector is 2 and 3, we have only one spinner so the spinner can only land on one sector at a time.

Therefore, Option b is a mutually exclusive event and it is a correct option.

c) landing on an unshaded portion and landing on an odd number

The unshaded portion on the spinner has number 2 and 3 on them, therefore it is possible to land on an unshaded portion and odd number which is 3 at the same time.

Option c is not a mutually inclusive event and it is wrong.

d) landing on a shaded sector and landing on an even number

The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and even number which is 4 at the same time.

Option d is not a mutually inclusive event and it is wrong.

e)landing on a shaded sector and landing on a number greater than 3

The shaded sector on the spinner has number 1 and 4 on them, therefore it is possible to land on an shaded sector and a number greater than 3 which is 4 at the same time.

Option e is not a mutually inclusive event and it is wrong.

Therefore, option a and option b are mutually exclusive events and they are correct.

Answer:

a.  landing on an unshaded sector and landing on a number less than 2

e  landing on a shaded sector and landing on a number greater than 3

Step-by-step explanation:

Two events ; for example events A and B are said to be mutually exclusive , if they cannot both occur simultaneously.In set theoretical notation , we say that the two sets A and B are disjoint set.

i.e

A ∩ B = ∅

Pr (A ∩ B) = 0

The intersection of A and B is an empty set and as such there is no intersection.

From the given options; option a and e are correct because ;

a.

landing on an unshaded sector and landing on a number less than 2

Landing on an unshaded portion would 2 or 3.

Landing on a number less than 2 would be 1.

There is no intersection and as such these events are mutually exclusive.

e.

landing on a shaded sector and landing on a number greater than 3

Landing on a shaded portion would be 1 or 4.

Landing on a number greater than 3 would be just 4.

The intersection of both events will be an empty set (∅)

As such these events are not mutually exclusive.

Answer:

What number, when added to negative four is equal to negative five.

Step-by-step explanation:

Rearange the numbers to get -4+g=-5.

This eqation now reads -4 plus a number g is equal to -5, and can also be read as what number (g) added to -4 = -5.

If we were to solve for g we would get g= -1.

Hope this helps!

G=-1          so

What number, when added to negative four, is equal to negative five

Answer:

4 buckets

Step-by-step explanation:

40 divided by 10 is 4

Answer:

4 bucket

Step-by-step explanation:

We can either use division or repeated subtraction in this case! Division is easier!

40/10 = 4

4 groups of 10 is what this looks like! (In this case, 4 buckets of 10 seashells)

Answer:

Domain: x >0

Range : y < 0

Step-by-step explanation:

Answer:-1.277778 i think

Step-by-step explanation:

i think this means h(x) = (17+6)÷x

in which case h(-18) = (17+6)÷(-18) = -1.2777778

would help if you put the question in standard format

Step-by-step explanation:

I think the answer is one

The volume of the given rectangular prism is 108 cubic centimeters.

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.

Given that, a prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters.

We know that, the volume of a rectangular prism = Length×Breadth×Height

= 4×3×9

= 108 cubic centimeters

Therefore, the volume of the given rectangular prism is 108 cubic centimeters.

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Answer:

The answer is A.

Step-by-step explanation:

thats what i think

Answer:

47.13cm

Step-by-step explanation:

2×3.142×7.5cm

Answer:

47.13

Step-by-step explanation:

c=2πr

c=2×3.142×7.5cm

c=6.284×7.5cm

c=47.13cm

Answer:

So for the first spinner, the probability of the arrow pointing to blue on a spin is 1/4, the probability of it pointing to green is 1/4 and so on. This assumes that each section is the same physical size.

Step-by-step explanation:

Answer:

Where is the picture

Step-by-step explanation:

Answer:

71-45 is 26

Step-by-step explanation:

Answer:

71-45 = 26

Step-by-step explanation:

Answer:

First, let's work out the V of container A and B

V_A = pi x (diameter/2)^2 x height = pi x (26/2)^2 x 14 = 2366 pi (ft3)

V_B = pi x (diameter/2)^2 x height = pi x (18/2)^2 x 15 = 1215 pi (ft3)

After pumping water from container A to container B until B is full:

The empty space inside container A would be:

V_empty = V_A - V_B = 2366 pi (ft3) - 1215 pi (ft3) = 1151 pi (ft3) = ~3615.97 (ft3)

Answer:

3,815.1 feet³

Step-by-step explanation:

Volume filled in B = Volume emptied from A

pi × r² × h

3.14 × (18/2)² × 15

3815.1 feet³

Answer:

radius r = 8 ft

volume V = 2144.66058 ft³

surface area A = 804.247719 ft²

circumference C = 50.2654825 ft

Step-by-step explanation:

Answer:

2 144.7 ft³

Step-by-step explanation:

So the diameter of this sphere is 16ft.

The equation of the volume of a sphere is [tex]\frac{4}{3}[/tex]πr³.

r is the radius which is half of the diameter. So half of 16 is 8.

Now all you have to do is the equation 4 x π x (8)³ divided by 3.

That should equal 2 144.7 ft³

Answer:

15x^4+2x^3-8x^2-22x-15

Step-by-step explanation:

Answer:

Your answer is

5x^4+2x^3-8x^2-22x-15

Step-by-step explanation:

I just simplified

Answer:

[tex](B)0.2\overline{6}[/tex] (0.2ModifyingAbove 6 with bar)

Step-by-step explanation:

We want to find the decimal equivalent of 4/15.

[tex]\dfrac{4}{15}=0.266666666.....[/tex]

Since the number 6 recurs/repeats indefinitely, we write the recurring decimal as:

[tex]0.266666666.....=0.2\overline{6}\\$Therefore:\\4/15=0.2\overline{6}[/tex]

The correct option is B.

Answer:

i got you bro the answer is 0.26 with a  line on top of the 6

Answer: 90 mins

Step-by-step explanation:

1hr=60 mins+ 30 mins

Answer:

90 minutes.

Step-by-step explanation:

Conversion ratio of hours to minutes:

1 hour = 60 minutes.

Add the two numbers together:

60 minutes + 30 minutes = 90 minutes.

90 minutes is your answer.

~

Answer:

The answer would be one triangle. it is only one triangle because the sum of the angles of any triangle have to equal 180°. So if you add all of the angles you gave us, that would equal 180°.

I hope that was the answer you were looking for.

Step-by-step explanation:

Answer:

y=3, x=5

Step-by-step explanation:

18=6y, so divide both sides by 6 to get 3=y.

45=9x, so divide both sides by 9 to get x=5.

Answer:

x=5 y =3

Step-by-step explanation:

Opposite interrior angles have the same Number of degrees. So 9x=45. X has to be 5. y = 3 because 3 times 6 is 18. Which is the same number as the opposite vertical side.

Answer: C

Step-by-step explanation:

Because 8 + 2 = 10 and that is half and blue is the other half so it’s 50%