Alice spins the spinner 3 times. What is the probability that she spins an A, then a B, and then a C?A. 1/3
B. 1/9
C. 1/27
D. 1/12

Answers

Answer 1
Answer: I believe it is A.1/3 because there are 3 letters, so that is automatically the denomitor. And there is only 1 letter chosen in this problem so that would be 1/3. To convert that to a percentage or to put it in decimal form, it would be this:
Percentage: 33.3%
Decimal Form: .3

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X/5=a for x show work

Answers

This is what we have:

(x)/(5) =a

what we want is for x to "stand alone": for this, we need to get rid of this 5. we can do this by multiplying both sides of the equation by 5:

(x*5)/(5) =a*5

if we both divide and mupliply the first numebr by 5, it just means 1, so we can skip it:

x =5a


15x - 12y =13
30x +9y =4
whats the value of x

Answers

\left \{ {{15x-12y=13\ \ | multiply\ by\ -2} \atop {30x+9y=4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }} \right. \n\n \left \{ {{-30x+24y=-26} \atop {30x+9y=4}} \right.\naddition\ method\n\n33y=-22\ \ \ \ | divide\ by\ 33\n\ny=-(22)/(33)\n\n15x=13+12y\n\nx=(13+12y)/(15)=(13+12*(-(22)/(33)))/(15)=(13-(264)/(33))/(15)=(13-8)/(15)=(1)/(3)\n\nSolution \ is\ x=(1)/(3).
so assuming that x and y are the same value in both equations we can make the first equation negative (multiply the whole thing by -1) and get

-15x+12y=-13
we multiply it by 2 and get
-30x+24y=-26
we add this to the second equation
(30x+9y=4)+(-30x+24y=-26)
30x-30x+24y+9y=-22
or 33y=-22
divide both sides by 11
3y=-2
divide both sides by 3
y=-2/3

we subtitute it into the first equation
15x-12(-2/3)=13
15x-(-24/3)=13
15x+8=13
subtract 8 from both sides
15x=5
divide both sides by 5
3x=1
divide both sides by 3
x=1/3

so x=1/3
y=-2/3

a total of 300 trees will be planted in a park. there will be 2 pine trees for every 3 maple trees planted plot the poinys that represent the number of pine and mapletrees planted

Answers

If you would like to know how many pine and maple trees will be planted, you can calculate this using the following steps:

2 pine trees + 3 maple trees = 5 trees

300 trees / 5 trees = 300 / 5 = 60

pine trees: 2 * 60 = 120
maple trees: 3 * 60 = 180

The correct result would be 120 pine trees and 180 maple trees.

Answer:

120 pine and 180 maple

Step-by-step explanation:

You have two events A and B such that P(A|B) = 0.4 and P(A) = 0.4. Based on this information, what can you conclude?a. Event A is not dependent on Event B.
b. Event A is dependent on Event B.
c. Event B is dependent on Event A.
d. Events A and B are dependent on each other.
e. It is not possible to determine if the events are independent.

Answers

The right answer for the question that is being asked and shown above is that: "e. It is not possible to determine if the events are independent." You have two events A and B such that P(A|B) = 0.4 and P(A) = 0.4. Based on this information, you can conclude that e. It is not possible to determine if the events are independent.

The true statement is that the (a) Event A is not dependent on Event B.

How to determine the true statement?

The equations are given as:

P(A | B) = 0.4

P(A) = 0.4

Two events A and B are independent if the following equations are true

P(A and B) = P(A) * P(B)

P(A | B) = P(A)

From the question, we have:

P(A | B) = P(A) = 0.4

This means that events A and B are not dependent

Hence, the true statement is (A)

Read more about independent events at:

brainly.com/question/12700357

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Suppose that you want to model the height of a rider on a Ferris wheel as a function of time. The amplitude of the function you use as a model should be equal to which of the following?a. the area of the Ferris wheel
b. the circumference of the Ferris wheel
c. the diameter of the Ferris wheel
d. the radius of the Ferris wheel

Answers

Answer: d. the radius of the Ferris wheel

Step-by-step explanation:

We now that the amplitude is the vertical distance between a peak or a valley and the equilibrium point.

Thus in the case of Ferris wheel the amplitude should be the difference between the peak(highest) and equilibrium point or equillibrium point and valley(lowest) points .

i.e. it should be half of the diameter of the circle. Since half of diameter of a circle is equals to radius.

Therefore, the amplitude of the function you use as a model should be equal to the radius of the Ferris wheel.  


The amplitude of the function you use as a model should be equal to d. the radius of the Ferris wheel. The amplitude should be half the difference between the highest (maximum) and lowest (minimum) points which is half of the diameter of the circle. It is known that half of the diameter is the radius of a circle.

Kenneth wants to sew a tent, including the bottom so that it is entirely enclosed. He has a rectangular piece of canvas with dimensions of 12 feet by 20 feet. The front and back of the tent will be identical triangles, measuring 6 feet across at ground level, with two 5-foot sides meeting at the top. The depth of the tent will be equal to three times the height of the front of the tent. What is the depth of the tent?

Answers

Based on the calculations, the depth of tent is equal to 12 feet.

How to calculate the depth of the tent?

Based on the diagram (see attachment) and information provided, we can logically deduce the following parameters (points):

  • Triangle ABC is an isosceles triangle (AB = AC).
  • The front and back of the triangle are identical triangles.
  • Side AD is perpendicular side BC.
  • CD is the midpoint of BC i.e CD = BC/2 = 6/2 = 3 feet.

Next, we would determine the height of the right-angled triangle (ADC) by applying Pythagorean theorem:

AC² = AD² + DC²

AD² = AC² - DC²

AD² = 5² - 3²

AD² = 25 - 9

AD² = 16

AD = √16

AD = 4 feet.

Also, we would determine the area of the triangle (ABC):

Area = 1/2 × b × h

Where:

  • b is the base area.
  • h is the height.

Substituting the given parameters into the formula, we have;

Area = 1/2 × 6 × 4

Area = 12 feet².

Depth of tent = 3 × height of ADC

Depth of tent = 3 × 4

Depth of tent = 12 feet.

Read more on area of triangle here: brainly.com/question/21917592

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