help please will give brainliest thank you

Help Please Will Give Brainliest Thank You

Answers

Answer 1

Independent, means the first event won't affect the second event.

The independent events would be :

A, B, E, F


Related Questions

Please help with the verifying.

Answers

let's solve each trigonometric function alone csc^2(x)=1/sin^2(x)tan^2(x)=sin^2(x)/cos^2(x)if we divide them the result will be=cot^2(x)(and that's the R.H.S)cot^2(x)=cos^2(x)/sin^2(x)and then divide it by sin^2(x)the result will also be =cot^2(x) (and that's the L.H.S)R.H.S=L.H.S

Which histogram matches the data set below?
Data Range: 0-10, 10-20, 20-30, 30-40, 40-50
Frequency: 5, 10, 25, 15, 10




Answers

the third one bc the data range is x and the frequency is y so just match 0-10 w 5 as it’s y value and see if it matches on the graph and keep doing it for 10-20 make sure it’s y value is 10 then 20-30 it’s y value is 25 and so on

Answer with explanation:

We are given the data range and frequency of the data set as follows:

       Data Range:            Frequency:

           0-10                            5

           10-20                          10

           20-30                         25

           30-40                          15

           40-50                            10

This means that the first bar is of the smallest height  and the height of first bar is: 5

The second bar is greater than the first with ha height of 10

The third bar has the highest height of 25

and then the fourth bar is smaller than the third bar with a height of 15 and the fifth bar has a height of 10.

Hence, the histogram that matches the data set is the figure attached to the answer.

Three tennis balls are packaged in a cylindrical container as shown. The tennis balls touch the top and bottom of the canister and each other. (Use 3.14 for pi.) Round each answer to the nearest tenth.


A) Each tennis ball has a diameter of 2.6 inches.

What is the height of the cylinder? _____

B) Find the volume of one tennis ball.

Volume of one tennis ball= ____________

C) Find the volume of the cylinder.

Volume of cylinder = ______________

D) What is the volume of space in the cylinder not taken by the tennis balls?

Volume of unused space = ___________

Answers

Answer:

Part A) The height of the cylinder is [tex]7.8\ in[/tex]

Part B) The volume of one tennis ball is [tex]9.2\ in^{3}[/tex]

Part C) The volume of the cylinder is [tex]41.4\ in^{3}[/tex]

Part D) The volume of space in the cylinder not taken by the tennis balls is [tex]13.8\ in^{3}[/tex]

Step-by-step explanation:

Part A) Each tennis ball has a diameter of 2.6 inches

What is the height of the cylinder?

we know that

The height of the cylinder is equal to the diameter of one ball of tennis multiplied by 3

so

[tex]h=2.6*3=7.8\ in[/tex]

Part B)  Find the volume of one tennis ball

The volume of the sphere (one tennis ball) is equal to

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

we have

[tex]r=2.6/2=1.3\ in[/tex] ----> the radius is half the diameter

[tex]\pi=3.14[/tex]

substitute

[tex]V=\frac{4}{3}(3.14)(1.3)^{3}[/tex]

[tex]V=9.2\ in^{3}[/tex]

Part C) Find the volume of the cylinder

The volume of the cylinder is equal to

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

we have

[tex]r=2.6/2=1.3\ in[/tex] ----> the radius is half the diameter

[tex]\pi=3.14[/tex]

[tex]h=2.6*3=7.8\ in[/tex]

substitute

[tex]V=(3.14)(1.3)^{2} (7.8)[/tex]

[tex]V=41.4\ in^{3}[/tex]

Part D) What is the volume of space in the cylinder not taken by the tennis balls?

we know that

The volume of space in the cylinder not taken by the tennis balls, is equal to the difference from the volume of the cylinder and the volume of three ball of tennis

[tex]V=41.4-(3)*(9.2)=13.8\ in^{3}[/tex]

Answer:

Part A) The height of the cylinder is

Part B) The volume of one tennis ball is

Part C) The volume of the cylinder is

Part D) The volume of space in the cylinder not taken by the tennis balls is

Step-by-step explanation:

Part A) Each tennis ball has a diameter of 2.6 inches

What is the height of the cylinder?

we know that

The height of the cylinder is equal to the diameter of one ball of tennis multiplied by 3

so

Part B)  Find the volume of one tennis ball

The volume of the sphere (one tennis ball) is equal to

we have

----> the radius is half the diameter

substitute

Part C) Find the volume of the cylinder

The volume of the cylinder is equal to

we have

----> the radius is half the diameter

substitute

Part D) What is the volume of space in the cylinder not taken by the tennis balls?

we know that

The volume of space in the cylinder not taken by the tennis balls, is equal to the difference from the volume of the cylinder and the volume of three ball of tennis

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!

Answers

We know three things:

Angle1 = 90 degrees

Angle2 = 28 degrees

Side = 350 ft

So this means, we are dealing with an AAS triangle (angle, angle, side).

To find side x:

X / sin(90degrees) = 350ft / sin(28degrees)

X = (350ft • sin(90degrees)) / sin(28degrees)

X = 745.5...

=746ft

Makes sense? This is how you solve a AAS triangle. I’m not sure if it’s 100% but, good luck!

Please please help me

Answers

Answer:

x = 6.6 cm

Step-by-step explanation:

The angle formed on the circle by the radius and the tangent is right.

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Hypotenuse is (x + 8.45) and 2 sides are x and 13.5, thus

(x + 8.45)² = x² + 13.5² ← expand left side

x² + 16.9x + 71.4025 = x² + 182.25 ( subtract x² from both sides )

16.9x + 71.4025 = 182.25 ( subtract 71.4025 from both sides )

16.9x = 110.8475 ( divide both sides by 16.9 )

x ≈ 6.6 cm

Ally has one coupon for $5.00 off and another coupon for 25% off. The store only allows one coupon per purchase. If Ally's purchase costs $21.89 before the coupon, which coupon should she use to get the bigger discount?

Answers

Answer:

25%

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 21.89 × 25/100

Discount = 547.25/100

You save = $5.4725

Final Price = Original Price - Discount

Final Price = 21.89 - 5.4725

Final Price = $16.4175

Answer:

25% off

Step-by-step explanation:

Define a function print_total_inches, with parameters num_feet and num_inches, that prints the total number of inches. note: there are 12 inches in a foot. ex: print_total_inches(5, 8) prints: total inches: 68

Answers

Final answer:

The function print_total_inches is defined to calculate the total number of inches by converting feet to inches and adding any extra inches. It multiplies the number of feet by 12 (since there are 12 inches in a foot) and adds the number of inches to get the total.

Explanation:

To define the function print_total_inches, we need to convert both feet and inches to inches only, since there are 12 inches in a foot. For the parameters num_feet and num_inches, the total number of inches is given by the formula total_inches = num_feet * 12 + num_inches. Here's an example of how the Python function might look:

   def print_total_inches(num_feet, num_inches):
       total_inches = num_feet * 12 + num_inches
       print('Total inches:', total_inches)

When you call print_total_inches(5, 8), it will output "Total inches: 68" because 5 feet is equivalent to 60 inches (5 x 12), and adding the additional 8 inches gives us a total of 68 inches.

A.find X the figure is not drawn to scale
B. Is the triangle equilateral isosceles or scalene? Explain
GIVING BRAINLIEST (image attached)

Answers

Answer:

A. 15

B. Scalene

Step-by-step explanation:

8x-10+6x+10x+10=360

24x=360

x=15

8x-10

8(15)-10=110

6x

6(15)=90

10x+10

10(15)+10=160

The triangle is scalene because none of the three sides are equal to each other.

Help!! - 2.10 - (4 points)


1. Would you factor out the GCF, use the Perfect Square Trinomial pattern, or the Difference of Squares Pattern?
4x^2 - 25
2. Show how you would use the approach you picked by factoring this binomial.

Answers

Answer:

Approach: Difference of Squares Pattern

[tex]4 {x}^{2} - 25 = (2x - 5)(2x + 5)[/tex]

Step-by-step explanation:

The given binomial is:

[tex]4 {x}^{2} - 25[/tex]

We can rewrite to obtain:

[tex] {(2x)}^{2} - {5}^{2} [/tex]

This is a difference of two squares, so we will factor using difference of squares pattern.

Recall that:

[tex] {a}^{2} - {b}^{2} = (a + b)(a - )[/tex]

If we let

[tex]a = 2x[/tex]

and

[tex]b = 5[/tex]

Then we can factor the given binomial to obtain:

[tex] {2x}^2 - {5}^{2} = (2x - 5)(2x + 5)[/tex]

[tex] \therefore4 {x}^{2} - 25 = (2x - 5)(2x + 5)[/tex]

Can y’all help me out ?

Answers

Answer:

B

Step-by-step explanation:

It is less than 50% and more tha 10%

It’s B I just took the test or quiz

Geometry help needed, please :)

Answers

Answer:

C

Step-by-step explanation:

The Hypotenuse is y

The side opposite the given angle (60o) is 12.

You must use one of the trig functions to relate the angle, the side opposite and the hypotenuse.

It turns out that the function you need to use is the sine.

angle = 60o

Side opposite = 12 cm

hypotenuse = h = ???

Sin(60o) = opposite / hypotenuse  multiply both sides by the hypotenuse.

hypotenuse * sin(60o) = side opposite

Divide by sin(60o)

hypotenuse = side opposite / sin(60)

hypotenuse = 12/sin(60)

Sin(60) radical form = sqrt(3)/2

hypotenuse = 12 // sqrt(3)/2

hypotenuse = 24 // sqrt(3)   Rationalize the denominator.

hypotenuse = 24 * sqrt(3) // ( (sqrt(3)*sqrt(3) )

hypotenuse = 8 sqrt(3)

C

Please help me out please

Answers

Answer:

the area of the hexagon is approx. 187.1 in²

Step-by-step explanation:

Picture this regular polygon as being a hexagon made up of six equilateral triangles of side 12 in.  We find the area of one such triangle and then multiply that by 6 to obtain the total area of the hexagon.

One such equilateral triangle has three sides all of length 12 in, and all the interior angles are 60°.  The height of one such triangle is

h = (12 in)sin 60°, or

                  √3

h = (12 in) -------- = 6√3 in

                     2

So, with base 12 in and height 6√3 in, the area of one such equilateral triangle is

A = (1/2)(12 in)(6√3 in) = 36√3 in²

and the total area of the hexagon is 6(36)√3 in², or approx. 187.1 in²

Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he added the tip?

Answers

Answer:

$97.20

Step-by-step explanation:

Divide the tip amount $14.58 by the percentage given 15% or .15.

$14.58 ÷ .15 =$97.20

Check your work by multiplying the answer $97.20 by the percent of tip 15%. $97.20 × .15 =$14.58 (tip amount)

Answer:

C

Step-by-step explanation:

Find the solution to the system of equations represented by this matrix equation using an inverse matrix.

Answers

Answer:

  D) [tex]\left[\begin{array}{c}\frac{5}{4}\\-\frac{1}{2}\end{array}\right][/tex]

Step-by-step explanation:

For matrix [tex]\left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]

the inverse matrix is the transpose of the cofactor matrix, divided by the determinant: [tex]\dfrac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\end{array}\right][/tex]

Your inverse matrix is: [tex]\dfrac{1}{2(-3)-(1)(2)}\left[\begin{array}{cc}-3&-1\\-2&2\end{array}\right][/tex]

so the solution is ...

[tex]\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{cc}\frac{3}{8}&\frac{1}{8}\\\frac{1}{4}&-\frac{1}{4}\end{array}\right] \cdot\left[\begin{array}{c}2\\4\end{array}\right] =\left[\begin{array}{c}\frac{5}{4}\\-\frac{1}{2}\end{array}\right] \qquad\text{matches selection D}[/tex]

HELP PLEASE!

Kim uses the Fermi process to estimate the number of buckets of rocks she could store in a warehouse. The buckets are shaped like cylinders. The warehouse is shaped like a rectangular prism.

• She estimates the buckets have a height of 25 inches and a diameter of 10 inches.
• She estimates the warehouse is 100 feet long, 50 feet wide, and 20 feet long.

Which expression should Kim use in the process?

Answers

Answer:

2×1082×103

Step-by-step explanation:

Just took the unit test. Image as proof

Answer:

The correct option is 3.

Step-by-step explanation:

It is given that the buckets have a height of 25 inches and a diameter of 10 inches.

The volume of a cylinder is

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

[tex]V_1=\pi (\frac{10}{2})^2(25)[/tex]

[tex]V_1=\pi (5)^2(25)[/tex]

[tex]V_1=625\pi[/tex]

[tex]V_1=1963.49540849[/tex]

The scientific notation is

[tex]V_1=1.963\times 10^3[/tex]

[tex]V_1\approx 2\times 10^3[/tex]

The warehouse is 100 feet long, 50 feet wide, and 20 feet long.

1 feet = 12 inches

The volume of a cube is

[tex]V=length\times breadth \times height[/tex]

Using the above conversion the volume of cube in cubic inches is

[tex]V_2=(100\times 12)\times (50\times 12)\times (20\times 12)[/tex]

[tex]V_2=172800000[/tex]

The scientific notation is

[tex]V_2=1.728\times 10^8[/tex]

[tex]V_2\approx 2\times 10^8[/tex]

The number of buckets of rocks she could store in a warehouse is

[tex]n=\frac{V_2}{V_1}[/tex]

[tex]n=\frac{2\times 10^8}{2\times 10^3}[/tex]

Therefore the correct option is 3.

Which container Could logically have a capacity of 1000 L A kitchen sink B bathtub C measuring cup D hot tub

Answers

Answer:

D. Hot tub

Explanation:

1000 L is equal to about 246 gallons and even a deep bathtub couldn't hold that much water.

p.s. Loving your username

Three boxes are shipped on a truck. Each box has a base of 16 square feet. Two of the boxes have a height of 3 feet and one box has a height of 5 feet. What is the total volume, in cubic feet, of the three boxes?

Answers

Answer:

176 cubic feet

Step-by-step explanation:

volume of each box is given by area of base * height.

Volume of Box 1 = 16 * 3 = 48

Volume of Box 2 = 16 * 3 = 48

Volume of Box 3 = 16 * 5 = 80

Total Volume = 48 + 48 + 80 = 176 ft^3

Final answer:

To calculate the total volume of the three boxes, we sum the individual volumes of two boxes at 48 cubic feet each and one box at 80 cubic feet, resulting in a total of 176 cubic feet.

Explanation:

To find the total volume of the three boxes shipped on a truck, we need to calculate the volume of each box and then sum the volumes. The volume of a rectangular prism (which is the shape of the boxes) is calculated by the formula Volume = length × width × height. In this case, the boxes have a common base of 16 square feet.

The two boxes with a height of 3 feet each have a volume of 16 square feet × 3 feet = 48 cubic feet per box. For both, this gives us a total of 48 cubic feet × 2 = 96 cubic feet.

The third box with a height of 5 feet has a volume of 16 square feet × 5 feet = 80 cubic feet.

Adding the volumes of all three boxes together, the total volume is 96 cubic feet + 80 cubic feet = 176 cubic feet. This is the total volume of the three boxes combined.

What is the volume of the prism below

Answers

Answer:A. 140

Step-by-step explanation:

1/2(5)(7)(8)

Help me with this please!!

Answers

 

[tex]\displaystyle\\\frac{22}{10}=\frac{x}{12}=\frac{33}{y}\\\\\frac{22}{10}=\frac{x}{12}\implies~x=\frac{22\times12}{10}=\frac{264}{10}=\boxed{\bf26.4}\\\\\frac{22}{10}=\frac{33}{y}\implies~y=\frac{10\times33}{22}=\frac{10\times3}{2}=5\times3=\boxed{\bf15}[/tex]

Based on the following set of data, which of the statements shown is true?

11, 11, 12, 13

A.) mean < median
B.) mean = median
C.) mean > median

Answers

C.) mean > median

Hope this helps chu

From the following set of data, statement C is true. Option C is correct.

How do you find the data's mean and median?

The mean is the proportion of the total number of observations to the sum of the observations.

The median is a number for an organized data set (in ascending or descending order) that has the same number of observations on both sides.

11, 11, 12, 13

The mean of the data set is found as;

mean = (11+11+12+13)/4

mean=47/4

mean=11.75

The median of the data set is;

Arrange the numbers in the ascending order;

11, 11, 12, 13

median= (11+12)/2

median=11.5

mean > median

From the following set of data, statement C is true.

Hence, option C is correct.

To learn more about the mean and median, refer:

https://brainly.com/question/17060266

#SPJ2

If y = 4x + 3 were changed to y = -4x + 3, how would the graph of the new function compare with the original?

A.It would be steeper. 
B.It would be less steep.
C.It would change orientation and slant down. 
D.It would change orientation and slant up.

Answers

Answer: The answer is C. it would change orientation and slant down.

Step-by-step explanation:

The two lines are just mirror images of each other. In this case, the slope is just the opposite, causing it to be the way it is. The y intercept is the same which also causes the mirror imaging.

Answer:

It would change orientation and slant down.

Step-by-step explanation:

The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.

Answers

bearing in mind that the derivative of s(t) is s'(t) = velocity, thus

[tex]\bf s(t)=-2-6t\implies \left. \cfrac{ds}{dt}=-6 \right|_{t=2}\implies -6[/tex]

namely a negative rate, so the object is slowing down to a stop.

Answer:

the instantaneous velocity at t = 2 is -6

Step-by-step explanation:

The position of an object at time t is given by s(t) = -2 - 6t

To find instantaneous velocity we take derivative s'(t)

s(t)= -2-6t

s'(t)= 0 -6=-6

To find instantaneous velocity at t= 2, we plug in 2 for t

there is no 't' in s'(t)

so s'(2)= -6

the instantaneous velocity at t = 2 is -6

what is the recursive rule for the sequence?

-7.4, -21.2, -35, -48.8, -62.6,...

Answers

Final answer:

The recursive rule for the given sequence is [tex]a_n = a_{n-1} - 13.8[/tex],

where a₁ = -7.4 and n > 1.

Explanation:

You are looking for the recursive rule for the sequence -7.4, -21.2, -35, -48.8, -62.6, and so on. To find this, we observe how the sequence progresses from one term to the next. The pattern here is that each term decreases by the same amount when compared to the previous term. By calculating the difference between successive terms, we can identify the common difference.

For instance, the second term (-21.2) minus the first term (-7.4) equals the third term (-35) minus the second term (-21.2), and this difference equals -13.8. Hence, each term is -13.8 less than the term before it.

To express this as a recursive formula, we start by stipulating the first term:

a₁ = -7.4

Then, we provide the recursive rule that relates each term to the one before it:

aₙ = aₙ₋₁ - 13.8, for n > 1

Using this recursive formula, given any term in the sequence, we can find the next term by subtracting 13.8 from the given term.

what is the circumference of the circle in terms of pi with a radius of 10in
A. 100 pi in
B. 30 pi in
C. 10 pi in
D. 20 pi in

Answers

ANSWER

EXPLANATION

The circumference of a circle is calculated using the formula:

[tex]C=2\pi \: r[/tex]

From the question, the radius of the circle is 10 inches.

We substitute the radius into the formula to get:

[tex]C=2\pi \times 10[/tex]

Let us multiply out to get:

[tex]C=20 \pi \: in[/tex]

The question required that we leave the answer in terms of π.

The correct choice is C.

Answer:

the correct answer is 14 n

Step-by-step explanation:

Note: Remember to show all of the steps that you use to solve the problem. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer.

Find all the zeroes of the equation.

–3x4+ 27x2 + 1200 = 0

Answers

Answer:

Values of x are 4i, -4i, 5 and -5

Step-by-step explanation:

[tex]3x^4+27x^2 + 1200[/tex] We need to find all the zeros (roots) of the above equation.

Let assume that x^4 = u^2 and x^2 = u

Putting values of x^4 and x^2 in the above equation and finding the value of u.

[tex]-3u^2 + 27u+1200=0\\Using \,\,quadratic\,\,equation\,\,to\,\,solve:\\u=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\where\,\, a= -3, b= 27 \,\,and\,\, c=1200\\u=\frac{-(27)\pm\sqrt{(27)^2-4(-3)(1200)}}{2(-3)}\\u=\frac{-27\pm\sqrt{729+14,400}}{-6}\\u=\frac{-27\pm\sqrt{729+14,400}}{-6}\\u=\frac{-27\pm\sqrt{15129}}{-6}\\u=\frac{-27\pm123}{-6}\\so, \,\, u = \frac{-27+123}{-6} \,\, and \,\, u  \frac{-27-123}{-6}\\u= -16 \,\, and \,\, u = 25[/tex]

So, values of u are -16 and 25

Putting back the value of u i.e, x^2

x^2 = -16 and x^2 =25

solving

Taking square root on both sides:

√x^2 =√-16 and √x^2 = √25

x = ± 4i (as √-1 =i) and x = ±5

So, values of x are 4i, -4i, 5 and -5.

P(A) = 0.40 P(B) = 0.50 P(A and B) = 0.10 What is P(B/A)

Answers

Answer:

Final answer is [tex]P(B|A) = 0.25[/tex].

Step-by-step explanation:

We have been given values of

P(A) = 0.40, P(B) = 0.50, and  P(A and B) = 0.10

Now we need to find about what is the value of P(B/A).

Apply formula [tex]P (A \, and \, B)=P(A) \times P(B|A)[/tex]

Plug the given values into above formula:

[tex]P (A \, and \, B)=P(A) \times P(B|A)[/tex]

[tex]0.10 =0.40 \times P(B|A)[/tex]

[tex]\frac{0.10}{0.40} =P(B|A)[/tex]

[tex]0.25 =P(B|A)[/tex]

[tex]P(B|A) = 0.25[/tex]

Hence final answer is [tex]P(B|A) = 0.25[/tex].

Which set of points contains the solutions to the inequality y ≥ 1⁄4x + 5?

A. {(–3,–17), (4,11), (7,19)}
B. {(4,6), (8,8), (–3,6)}
C. {(3,4), (2,3), (8,27)}
D. {(–2,–1), (4,–7), (5,1)}

First answer get's brainliest

Answers

Answer:

B. {(4,6), (8,8), (–3,6)}

Step-by-step explanation:

The given inequality is

[tex]y\ge\frac{1}{4}x+5[/tex]

The set of points that satisfy the inequality are solutions.

We can verify that,all the points in the set  {(4,6), (8,8), (–3,6)} satisfy the given inequality.

[tex]6\ge\frac{1}{4}(4)+5[/tex]  ;[tex]\implies 6\ge6[/tex]: True

[tex]8\ge\frac{1}{4}(8)+5[/tex]  ;[tex]\implies 8\ge7[/tex]: True

[tex]6\ge\frac{1}{4}(-3)+5[/tex]  ;[tex]\implies 6\ge4.25[/tex]: True

Therefore, the correct answer is B.

Match the function with its graph.
1)y = tanx
2)y= cot x
3)y= -tan x
4)y= -cot x

Answers

Answer:

To quickly solve this problem, we can use a graphing tool or a calculator to plot each equation.

Please see the attached image below, to find more information about the graph

s

The equations are:

1) y = tan (x)

2) y = cot (x)

3) y = -tan (x)

4) y = -cot (x)

Looking at the graphs, we can see which corresponds to each equation

1) y = tan (x)

Graph C

2) y = cot (x)

Graph A

3) y = -tan (x)

Graph B

4) y = -cot (x)

Graph D

Answer:

A) 1C, 2A, 3B, 4D

Step-by-step explanation:

We can graph each of the functions in your preferred grapher, the we compare each graph with the corresponding example. (attached images)

By doing this we can see that graph C is tanx, graph A is cotx, graph B is -tanx, graph D is -cotx

Yet another question.

Answers

Answer:

t= 3 years

Step-by-step explanation:

So far we have 2 useful relationships[tex]P_{t}= P_{o} e^{r*t}[/tex] and [tex]P_{t}=2P_{0}[/tex]

Now, clearing t

[tex]P_{t}= P_{o} e^{r*t} \\\frac{ P_{t}}{P_{o}} = e^{r*t}\\\frac{2 P_{0}}{P_{o}} = e^{r*t}\\2 = e^{r*t}[/tex]

I apply logarithm

[tex]log(2)=r*t\\ t=\frac{log(2)}{r}\\t=\frac{0.3}{0.1} \\ t=3[/tex] years

Done

The owner of a catering company wants to select a random sample of clients to find out about their food preferences. Select Yes or No to tell whether each method results in a random sample of the population. Yes or No The owner uses a database to print the names of all clients on slips of paper. The owner chooses 20 of the slips of paper without looking. The owner sends a survey to every client who spent more than $500 with the catering company in the past year. The owner sends a survey to all clients whose phone number ends in 5. The owner sends a survey to the last 20 clients who used the catering company's services.

Answers

Answer:

Select Yes or No to tell whether each method results in a random sample of the population.

1. The owner uses a database to print the names of all clients on slips of paper. The owner chooses 20 of the slips of paper without looking.- yes

3. The owner sends a survey to every client who spent more than $500 with the catering company in the past year. - no

4. The owner sends a survey to all clients whose phone number ends in 5.- yes

5. The owner sends a survey to the last 20 clients who used the catering company's services.- yes

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