Select the fraction that is equivalent to one fifth. (2 points)


a

1/10


b

2/1


c

2/5


d

3/5

The theoretical possibility of choosing a red earring is 1/10, 10%.

The experimental possibility of choosing a red earring is 8/25, 32%

The theoretical possibility of choosing a blue earring is 1/5, 20%.

The experimental possibility of choosing a blue earring is 7/15 or 28%.

Theoretical probability determines the chances that a random event would happen.

Theoretical probability = number of the earing in the box / total number of earrings

Red earrings = 2/20 = 1/10 = 10%

Blue earrings = 4/20 = 1/5 = 20%

Experimental probability is based on the result of an experiment that has been carried out multiples times

Experimental probability = number of times the earing was chosen / number of time the experiment was conducted

The experimental possibility of choosing a red earring= 16/50

=  8/25, 32%

The experimental possibility of choosing a blue earring = 14/50 = 7/25 = 28%

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Answer:

g(x) = log( x + 1 ) + 4

Step-by-step explanation:

f(x) is the parent equation so to get g(x) we shifted f(x) four units up and one unit to the left.

Answer:

13.5

Step-by-step explanation:

You meant x³ = 1/8? Then x = 1/2

Answer:

So first we need to determine what the exponential growth function would look like.  Exponential growth functions look like [tex]P(t) = P_0*e^{r*t}[/tex] and in our case [tex]P_0[/tex] would be the initial population which is 6.63 million.  R is the next variable that we need to fill out which is the rate of change which in our case is 3.01% or 0.0301.

This is how our function should look now [tex]P(t)=6.63*e^{0.0301*t}[/tex]

Moving onto part b, we need to estimate the population of the city in 2018 which 6 years from 2012 and we plug that into t and solve.

[tex]P(t) = 6.63 * e^{0.0301*6}[/tex]

[tex]P(t) = 6.63*e^{0.1806}[/tex]

[tex]P(t) = 6.63 *1.1979[/tex]

[tex]P(t) = 7.9423\ million[/tex]

Moving onto part c, we need to find when the population of the city will be 11 million which will be done by setting P(t) to 11 million and solving for t.

[tex]11 = 6.63*e^{0.0301*t}[/tex]

[tex]\frac{11}{6.63} = \frac{6.63*e^{0.0301*t}}{6.63}[/tex]

[tex]1.659=e^{0.0301*t}[/tex]

[tex]ln(1.659)=ln(e^{0.0301*t})[/tex]

[tex]\frac{0.506}{0.0301}=\frac{0.0301*t}{0.0301}[/tex]

[tex]16.818\ years = t[/tex]

Moving onto part d, we need to find the doubling time.  This will be similar to the previous part but we will be finding the time it takes to double our population.  So instead of putting 11 million for P(t) we put 6.63 * 2 in there which is 13.26.

[tex]13.26 = 6.63*e^{0.0301*t}[/tex]

[tex]\frac{13.26}{6.63} = \frac{6.63*e^{0.0301*t}}{6.63}[/tex]

[tex]2=e^{0.0301*t}[/tex]

[tex]ln(2)=ln(e^{0.0301*t})[/tex]

[tex]\frac{0.693}{0.0301}=\frac{0.0301*t}{0.0301}[/tex]

[tex]23.028\ years = t[/tex]

Hope this helps!  Let me know if you have any questions

Answer:

here is the answer y = 15× - 80

Answer:

1,067,610 cloth will be produced in 285 days

Step-by-step explanation:

- 3746 meters of cloth in a day

- in 285 days

3746 x 285 = 1,067,610

Answer:11 and 27

Step-by-step explanation:

11+16=27 and they are 16 years apart and because it says 5 years 27+5=32 and if you add 5 to 11 you get 16 and 16+16=32

Answer:

x=12m

Step-by-step explanation:

44 divide by 3 2/3 = 12

Answer:

Approximately [tex]215[/tex] square units.

Step-by-step explanation:

The area of this figure is equal to:

[tex]\begin{aligned}& \text{Area of figure} \\ =\; & \text{Area of square} \\ &+ \text{Area of circle} \\ &- \text{Area of overlap}\end{aligned}[/tex].

The area of the square is [tex]8^{2} = 64[/tex] square units.

The area of the circle of radius [tex]r = 8[/tex] is [tex]\pi\, r^{2} = 8^{2}\, \pi = 64\, \pi[/tex] square units.

Refer to the diagram attached. In this figure, the overlap between the square and the circle is a sector of radius [tex]r= 8[/tex]. The angle of this sector is [tex]90^{\circ}[/tex]- same as the measure of the interior angle of the square.

The area of this sector would then be:

[tex]\begin{aligned} & \pi\, r^{2} \times \frac{90^{\circ}}{360^{\circ}} = 16\, \pi \end{aligned}[/tex].

Therefore, the area of the figure would be:

[tex]\begin{aligned}& \text{Area of figure} \\ =\; & \text{Area of square} \\ &+ \text{Area of circle} \\ &- \text{Area of overlap} \\ =\; & 64 + 64\, \pi - 16\, \pi \\ \approx\; & 215 \end{aligned}[/tex].

Answer:

17

Step-by-step explanation:

[tex]\displaystyle Z=\frac{\text{Observed Value}-\text{Mean of the Sample}}{\text{Standard Deviation of the Sample}}\\\\Z=\frac{x-\mu}{\sigma}\\ \\-1.5=\frac{x-23}{4}\\ \\-6=x-23\\\\17=x[/tex]

Therefore, the observed value that gives a z-score of -1.5 is 17

Answer:

12

Step-by-step explanation:

[tex]3|-4| = 3(4) = 12[/tex]

Answer:

[tex] | - 4| = 4 \\ 3 \times 4 = 12[/tex]

Answer: I believe it would be when a pair of lines intersect, all of the angles formed are congruent.

Answer:

When a pair of lines intersect, the vertical angles are congruent.

:)

Answer:

Step-by-step explanation:

Answer:

y = x + 7

Step-by-step explanation:

The area of a square is the square of its side. The area of the square is 2.2477 units².

The area of a square is the square of its side. It is given by the formula,

Area of the square = a²

Given the circumference of the circle is 9.42 units. Therefore, the radius of the circle can be written as,

Circumference of the circle = 2πr

[tex]\rm9.42\ units= 2\pi r\\\\r = \dfrac{9.42}{2\pi}\ units[/tex]

Now, as the side of the square is equal to the radius of the circle, therefore, the area of the circle will be equal to,

Area of the circle = a² = r²

[tex]\rm \text{Area of the circle }= (\dfrac{9.42}{2\pi})^2[/tex]

                            [tex]\rm = \times \dfrac{9.42}{2\pi} \times \dfrac{9.42}{2\pi}\\\\ = 2.2477\ units^2[/tex]

Hence, the area of the square is 2.2477 units².

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Answer:

5ft > can ride the roller coaster??

Step-by-step explanation:

im not 100% sure what u mean

The owners intend to store machinery in the undercover storage is a wise idea as it will not be exposed to too much sunlight or water damage.

Machinery is known to be any kind of mechanical, electrical, or electronic tool that has been set up to carryout some basic function.

Note that The owners intend to store machinery in the undercover storage is a wise idea as it will not be exposed to too much sunlight or water damage and as such it is advisable only in some cases.

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Answer:

v = -14

Step-by-step explanation:

» Solution

Step 1: Distribute the -4 to the terms inside the parantheses.

Step 2: Add 28 to both sides.

Step 3: Divide both sides by -4.

Therefore, v = -14.

Answer: The answer is 1600.

Step-by-step explanation:

Answer:

1600

Step-by-step explanation:

40 * 40 = 1600

an easy way to figure this out is

4 * 4 = 16

add two zeros (since there are two zeros in 40 and 40)

1600 is your answer

hope this helps :)

Answer:

(−7,−2)

Step-by-step explanation:

Use the vertex form, y=a(x−h)2+k, to determine the values of a, h, and k.

a=4

h=−7

k=−2

(−7,−2)

Answer:

37.66

Step-by-step explanation:

Answer:

b) The surface area

Step-by-step explanation:

Surface area of sphere formula,

→ 4πr²

Thus, option (b) is the answer.

            - - - - -- - - - - - -- - - - - - - - - -- - - - - -- - - - - - - -- - - - - -- -  

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

What does the formula 4πr² give?

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and how to Solve:-}}}}[/tex]

Formula for Volume of a Sphere:-

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

So the answer is not Option A.

Formula for Surface Area of a Sphere:-

[tex]\bold{A=4\pi r^2}[/tex]

This looks exactly like the formula we need.

So the right answer is

[tex]\boxed{\boxed{\underline{\bold{Option\:B}}}}[/tex]

                    -  -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- -  - - - - - -

The Answers are B,C, and E

I got this by graphing the function of h(x) and the parent function f(x) on the same graph and analogizing the shifts of h(x) from the parent graph f(x). Also the function included two different y-intercepts.

For a wheelchair ramp with a length of 82 inches has a horizontal distance of 80 inches is mathematically given as

v = 18inches

Generally, the equation for vertical distance is mathematically given as

r^2 = h^2 + v^2

(82)^2 = (80)^2 +v^2

6724 = 6400 + v^2

v^2 = 6724-6400

v^2 = 324

v = [tex]\sqrt{324}[/tex]

v = 18inches

In conclusion, the ramp's vertical distance is

v = 18inches

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Answer:

120 different outfits.

Step-by-step explanation:

10x4=40

40x3=

120

The equation of the line will be given as y = -4x - (- 17/ 4).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

The equation of the line will be given as:-

y  -  y₁ = m ( x  -  x₁)

slope m will be calculated as:-

[tex]m =\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1+1}{\dfrac{-3}{4}+\dfrac{1}{4}}=-4[/tex]

The equation will be:-

y  -  (1/4)  =  -4( x +  1 )

y  = -4x  -  (17/4)

Therefore the equation of the line will be given as y = -4x - (- 17/ 4).

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