Select the correct answer from each drop down menu.

Tracy works at a sporting goods store that sells 18 snowboard models and 6 skate board models. She just got a call from her supplier that one of the models has been discontinued.

The probability that the discontinued model is a snow board is _ .
If you use a spinner divided into four equal sections with two sections for snowboards and two for skateboards to simulate this situation, the probability of a snowboard being the discontinued model is _ .
This result means that the simulation is _ for the situation.



1st blank- 0.25 Or 0.50 Or 0.75
2nd blank-0.25 Or 0.50 Or 0.75
3rd blank- Suitable Or Not suitable

The volume of the solid that results when the region enclosed by the given curves y = e⁻²ˣ, y = 0, x = 0, and x = 1 is revolved around the x-axis and the y-axis is 0.77 and 0.7135.

Revolving the region bordered by y = f(x) and the x-axis on the interval [a, b] around the x-axis generates the volume (V) of a solid.

The volume is given as

[tex]\rm Volume = \int _a^b \pi y^2 \ dx[/tex]

The volume of the solid that results when the region enclosed by the given curves y = e⁻²ˣ, y = 0, x = 0, and x = 1 is revolved around the x-axis.

[tex]\rm Volume = \int _0^1 \pi (e^{-2x})^2 \ dx\\\\\\Volume = \int _0^1 \pi (e^{-4x}) dx\\\\\\Volume = \pi [\dfrac{e^{-4x}}{-4}]_0^1\\\\\\Volume = - \dfrac{\pi}{4} [e^{-4} - e^0]\\\\\\Volume = -\dfrac{\pi}{4} [-0.98168]\\\\\\Volume = 0.77[/tex]

The volume of the solid that results when the region enclosed by the given curves y = e⁻²ˣ, y = 0, x = 0, and x = 1 is revolved around the y-axis.

[tex]\rm Volume = \pi \left [\int_{0}^{0.135} dy + \int_{0.135}^{1}\left ( \dfrac{\ln x}{-2} \right )^{2}dy \right ]\\\\Volume =0.71375[/tex]

More about the revolution of the curve link is given below.

https://brainly.com/question/14640419

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The rotation of the triangle ABC 360 degrees about the y-axis forms a cone

From the question, we understand that the triangle ABC is a right triangle

The vertical cross-section of a cone is a right triangle.

This means that a right triangle can be rotated 360 degrees on one of its legs (opposite or adjacent) to form a cone

Hence, the rotation of the triangle ABC forms a cone

Read more about rotation at:

https://brainly.com/question/13147596

No this is not the right answer. 2+9 equals 11.

Answer:

a

Step-by-step explanation:

the volume (V) of a sphere is calculated as

V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )

here the diameter = 15, then r = 15 ÷ 2 = 7.5 , then

V = [tex]\frac{4}{3}[/tex]π × 7.5³

   = [tex]\frac{4}{3}[/tex]π × 421.875

    = [tex]\frac{4\pi (421.875)}{3}[/tex]

    ≈ 1767 cm³ ( to the nearest cubic cm )

Answer:

D

Step-by-step explanation:

Characteristics of scientific models

Out of the given options, only D is an incorrect statement.

Answer:

D

Step-by-step explanation:

Just took the test

Answer:

6

Step-by-step explanation:

70 - ( cube root of 64 )^3 = 70 - (4) ^ 3 = 70 - 64 = 6

Answer:

1.123

Step-by-step explanation:

first find the area of the circle which is 125.6/10 or 12.56.  Then divide take the square root which is around 3.54 and divide by pi which you get 1.1.23

Answer:

12.56 inches 10 × 12.56 = 125.6

The answer is 125.6 , If it is wrong i'm srry.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

24÷4=6

so 6×4=24 because of distributive proterty meaning that x=6 :))

Answer:

be specific

Step-by-step explanation:

which shaded eing

Answer:

In exponential form given function is equal to [tex]N = b^{r}[/tex]

Step-by-step explanation:

We are given with function,

[tex]log_{b} ^[/tex] [tex]^{N} = r[/tex]

We have to express it in exponential form.

Consider,

[tex]log_{b}^[/tex] [tex]^ {N} = r[/tex]

exponential both side to the power of b as base of given log function is b.

we get

[tex]b ^{logb}[/tex] [tex]^ {N} = b^{r}[/tex]

[tex]N = b^{r}[/tex]

Therefore In exponential form given function is equal to [tex]N = b^ {r}[/tex]

Answer:

the x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.

The vertex of the parabola is (-2,3)

So, the axis of symmetry is the line x = -2

Step-by-step explanation:

Answer:

takes him 8.4 hrs

Step-by-step explanation:

if 1/4=18inch then 3 1/2=7/2 so 7/2 divide by 1/4=14 then 18 x 14=252

so distance is 252 miles

speed is 30mph so 252/30=8.4h

the answer might need the 0.4 in hrs too

Answer:

the slope is -2/1 or -2

Answer:

Yes, if you know the coordinates of a point PP in your original figure as (x,y)(x,y), you can figure out the coordinates of PP following rotation and given by (x′,y′)(x′,y′) as

x′=−yx′=−y

y′=xy′=x

Answer: 10

Step-by-step explanation:

Given that a circle has the center at

(6.0) and the circle passes through the point (2,−3).So the distance between these two points will give us the measure of the radius.So(x1,y1)=(6

So by using the distance formula the radius of the given circle is-r=√(x2−x1)2+(y2−y1)2r=√(2−6)2+(−3−0)2r=√16+9r=√25=5 unitsSo the diameter of the given circle is=2rd==2(5)d=10units

Let's see

Find distance between these points and radius

Answer:

B

Step-by-step explanation:

I did some maths

Answer:

Determine the solutions of the equation. What solution makes sense for the situation?

x = 8

width = 8inches

length = 13

Answer:

x+1

Step-by-step explanation:

Answer:

x + 1

Step-by-step explanation:

If we take away 2x from 3x, the remaining is 1x which is simply written as x. If we take away 2 from 3, the remaining is 1. (3 - 2 = 1)

Answer: A , C and D

Step-by-step explanation:

Step-by-step explanation:

they are both linear functions. A function is linear when the degree on X is equal to 1

Answer:

8,13,48

Step-by-step explanation:

Third = A(3) = -2 + (3-1)(5) = -2 + 10 = 8

Fourth = A(4) = -2 +(4-1)(5) = -2 + 15 = 13

Eleventh = A(11) = -2 + (11-1)(5) = -2 + 50 = 48

1. 48 ? -8 = -6

48/ -8 = -6

2. -40 ? 8 = -5

-40/ 8 = -5

3. 12 ? -2 = 14

12 - (-2) = 14

12 + 2 = 14

4. 18 ? -12 = 6

18 + (-12) = 6

18 - 12 = 6

5. 18 ? -20 = -2

18 + (-20) = -2

18 - 20 = -2

6. 22 ? -0.5 = -11

22 * -0.5 = -11

22 / -2 = -11

You just have to check your work :)

Step-by-step explanation:

Hello there.

1.5 can be rewritten as "1 and 1 half"

Hope this helped!

-Angelo

Answer:

Step-by-step explanation:

Henry X blue

Rachel 5 blue and Y black

Jack 3 times the total of pens ( blue & black)

So

X + 5 + Y for Henry and Rachel

Jack : 3( X + 5 + Y)

Jack has 3X + 15 + 3Y.

Pens of jack 3X + 15 Blue & 3Y black.

Answer:

1 1/2

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

3 x 1/2 = 1.5 or 1 1/2

The correct statement states that the sales range for team 2 is greater than the sales range for team 1.

The range is defined as the difference between the maximum value to the minimum value.

Team 1

Worker's Age           Sales

25                             30,000

27                              29,000

28                              32,000

33                              35,500

Team 2

Worker's Age           Sales

25                          35,000

28                          37,000

29                          38,000

31                           65,000

Range Team 1 = 38000 - 30000 = 8000

Range Team 2 = 65000 - 29000 = 36000

Thus, The sales range for team 2 is greater than the sales range for team 1.

Learn more about the range:

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Answer:

Arabic numerals

Step-by-step explanation:

The numbers we use today are mostly derived from Arabic numerals. These number system existed long before the use of the English language itself.

Answer:

Numbers and counting began around 4000 BC in Sumeria, one of the earliest civilizations. With so many people, pets, crops, and crafts all in one place, cities needed a way to organize and keep track of it all, as it was used, added, or sold.

Step-by-step explanation: