A bag contains 18 balls. There are 6 red balls, 6 yellow balls, and 6 green balls. A ball is drawn at random and returned. Then another ball is drawn at random. Select ALL statements that are true.
A. The expected probability of drawing a green ball first is the same as the expected probability of drawing a green ball second.
B.There are six possible outcomes.
C.The probability of drawing a red ball first is the same as not drawing a red ball second.
D.The expected probability of drawing a red ball and then a yellow ball is 19.
Answer:
There are 18 balls in the bag:
6 are red
6 are yellow
6 are green.
A ball is drawn at random and then returned.
Then another ball is drawn.
Now, let's analyze each option and let's see if it is true or not.
A) The probability of drawing at random a green ball is equal to the quotient between the number of green balls and the total number of balls.
Then for the first draw, the probability is 6/18
Because the drawn ball is returned, for the second draw we still have 6 green balls and 18 balls in total, then the probability still is 6/18
Statement A is true
B) if we define the notation:
YR
as:
Yellow in the first draw, red in the second draw.
The possible outcomes are:
YR
YG
YY
RR
RG
RY
GR
GG
GY
So we have a total of 9 outcomes, we also can calculate this in the following way:
For the first event (first draw) we have 3 possible outcomes (Y, G, and R)
For the second event (second draw) we have again 3 possible outcomes.
The total number of outcomes is the product between the possible outcomes for each event, this is:
3*3 = 9
Then statement B is false.
C) The probability of drawing a red ball first is:
p = 6/18
The probability of NOT drawing a red ball second, is equal to the probability of drawing a yellow or green ball second (we have 12 balls that are green or yellow, and 18 total balls) then this probability is:
q = 12/18
The probabilities are different, then we can conclude that statement C is false.
fD) The expected probabilty of drawing a red ball and then a yellow ball is the product of the individual probabilities, this is:
prob of drawing a red ball first = 6/18
prob of drawing a yellow ball second = 6/18
Joint probability:
P = (6/18)*(6/18) = (1/3)*(1/3) = 1/9
So statement D is true. (it says 19, i suppose that there is a mistake in this sentence and it actually should say 1/9)
pls help, The graph shown below shows the relationship between average heart rate (in beats per minute) of several
mammal species and their life expectancy (in years)
Answer:
The answer is Nonlinear Association
Hi There Answer Nonlinear Association
Step-by-step explanation:
Help fast as you can worth 7 points
Answer:
d
Step-by-step explanation:
Answer: B
Step-by-step explanation: you have to multiply the 4 and 2
Maurice fills a ball in the shape of a sphere with air. The diameter of the ball when it is filled is 24 inches. How much air, in cubic inches, is in the ball when it is filled? Solve in terms of π like the example above.
PLEASE HELP ME
Answer:
2304pi inches³
Step-by-step explanation:
volume of ball = 4/3pi r³
=4/3 x pi x 12³=2304 pi inches³
Complete the table below to classify the triangles as scalene or isosceles.
Triangle
Classification
2
2
3
5
10
9
<
3
Answer:
1) Isosceles
2) Scalene
3) Scalene
Step-by-step explanation:
The 1st choice is isosceles because 2 side lengths are equal.
The 2nd and 3rd choice are scalene because none of the sides equal the other sides.
Simplify: 6^6/6^−3 Leave your answer in exponential form
Answer:
6⁹
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{6^6}{6^{-3}}[/tex]
Step 2: Simplify
Exponential Rule [Dividing]: [tex]\displaystyle 6^{6 - -3}[/tex]Rewrite: [tex]\displaystyle 6^{6 + 3}[/tex]Add: [tex]\displaystyle 6^{9}[/tex]GAHHHHHHHHHHHHHHHHHHHHHHHHH
HELP PLEASE
P.PENEEEEEEEE,TE GUSTAA∞[tex]\pi \sqrt{x} x^{2} \neq \alpha \sqrt[n]{x} \sqrt[n]{x}[/tex]
3) What is 3x +15y=-16 in slope intercept form?
Answer:
y=-1/5x-16/15
Step-by-step explanation:
slope intercept form y=mx+b
3x+15y=-16
15y=-3x-16 divide both sides by 15
y=-3/15x-16/15 simplify -3/15 to -1/5
y=-1/5x-16/15
Solve using substitution x=-6 6x+10y=14
Answer:
(-6 , 5)
Step-by-step explanation:
6x + 10y = 14
6(-6) + 10y = 14
-36 + 10y = 14
10y = 50
y = 5
helpppppppppppppppppppp
Answer:
6:5:4
Step-by-step explanation:
6 + 5 + 4 = 15
3000/15 = 200
200 x 6 = 1200 = eldest
200 x 5 = 1000 = 2nd eldest
1200 + 1000 = 2200
3000 - 2200 = 800
200 x 4 = 800 = youngest
Answer 6 : 5 : 4
Step-by-step explanation:
Its simply because
1200 ÷ 6 is 200 which is a whole number... If you divide for example 1200 by 7 it wont give you a whole... And also the first number of the ratio should be the greatest since the first child got the most money and the last the least which means the least should be the smallest number.
Hey can you help me fast!!!
Answer: -15 + 42
Step-by-step explanation:
A simulation is done to represent kicking 5 field goals in a single game with a 72% probability of making each one. A 1 represents making the kick and a 0 represents missing the kick.
trial
result
1
10101
2
11010
3
00011
4
11111
5
10011
Based on these results, estimate the probability that 3 or more kicks are made.
Answer:
You are correct that the cross section is a rectangle, because a rectangular pyramid has 4 sides connected to the top of the rectangle.
Step-by-step explanation:
We can estimate that the probability of making 3 or more kicks in a game is approximately 0.8 or 80%.
What is simulation?Simulation is the process of creating a computer model or a physical system that behaves like a real-world system or process, in order to study its behavior or performance under various conditions.
We have,
To estimate the probability that 3 or more kicks are made, we need to count the number of trials in which 3, 4, or 5 kicks were made, and divide that by the total number of trials (which is 5 in this case).
From the table,
We can see that there are three trials in which 3 kicks were made
(trials 1, 3, and 5), one trial in which 4 kicks were made (trial 4), and no trials in which all 5 kicks were made.
The total number of trials in which 3 or more kicks were made is:
= 3 + 1 + 0
= 4
To estimate the probability, we divide the number of successful trials by the total number of trials:
P(3 or more kicks made) ≈ 4/5
Therefore,
We can estimate that the probability of making 3 or more kicks in a game is approximately 0.8 or 80%.
Learn more about simulations here:
https://brainly.com/question/16359096
#SPJ2
This is due today please help.
What is the area of the shape.
Answer choices:
24 yd2
36 yd2
39 yd2
30 yd2
During April, he charges $387.92 to the card, and at the end of April, he makes a payment of $400.00. What will be the new balance on his card?
Use the diagram to answer, given that line LM is a common tangent to circle P and circle Q. Leave answers in simplified radical when necessary. (Please let me know if the first blank is correct and answer the second one.)
Answer:
PL = 9
PN = 5√5
Step-by-step explanation:
8/12 = 6/PL
8PL = 72
PL = 9
PN² = 10² + 5² = 100 + 25 = 125
PN = √125 = 5√5
The product of 6x5/3 will be (less than, greater than, equal to) 6 because the fraction 5/3 is (less than, greater than, equal to) 1
Answer:
The product of 6x5/3 will be greater than 6 because the fraction 5/3 is greater than 1.
Step-by-step explanation:
Note: If any fraction which the numerator and denominator have the same number , for example 6/6 it will equal to 1. If the numerator overpasses the denominator, it will be more than 1.
I Need Help Only #8
Answer:
15
Step-by-step explanation:
two consecutive numbers if the smallest is 11
Let two consecutive numbers are : x,x+1
Sum of these numbers is -11, then
x+x+1=−11
⇒2x=−11−1=−12
⇒x=−6
and other consecutive number is x+1=−6+1=−5
The answer is -6 and −5
What are the steps to solving this?
Answer:
m = 6[tex]\sqrt{3}[/tex] , n = 6
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{m}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2m = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
m = 6[tex]\sqrt{3}[/tex]
and
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{n}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2n = 12 ( divide both sides by 2 )
n = 6
1 2/5
rename the mixed number as an improper faction
a. 3/5
b, 12/5
c, 2/6
d, 7/5
Answer:
the answer is b
Step-by-step explanation:
i don't know I just do lol
What is the volume of this square pyramid?
Answer:
400m^3
Step-by-step explanation:
Answer: [tex]400m^{2}[/tex]
Step-by-step explanation:
In order to solve this square pyramid's volume, we use the formula:
V = 1/3(B)(h)
Now, we plug in what we know. Since it has a square base, the sides of the base are all the same:
1/3(10*10)(12)
Now we solve:
1/3(100)(12)
1/3(1200)
400
Given that y varies inversely with x, if y=-5 when x=-6, find x when y=-2.5.
15
Explanation:
If y varies inversely as x, the two variables can be represented in an equation in the form
y
=
k
x
where
k
is some constant.
We are given that
y
=
5
when
x
=
6
. We can plug this into the above equation to find what
k
is:
5
=
k
6
30
=
k
Based on this we can create our equation:
y
=
30
x
And then find
x
when
y
=
2
:
2
=
30
x
2
x
=
30
x
=
15
hi please help i’ll give brainliest
Answer:
The answer is B
Step-by-step explanation:
IT SHOWS THAT A SOLAR ECLIPSE OCCURS WHEN THE MOON CASTS A SHADOW OVER EARTH.
Decrease £16855.21 by 13.5%
Answer:
£14579.76
Step-by-step explanation:
First do 16855.21 * .135 = 2275.45335 now do 16855.21 - 2275.45335 to get 14579.75665 round this to get 14579.76
plz help with everything in the pic
HERE I TOOK PICTURES
i only understand number 11
pleaseeee help me, i dont have much time to finish
Answer:
[tex]\sqrt{80} \\OR \\ 5\sqrt{4}[/tex]
Step-by-step explanation:
pythagorean theorm
and then simplify with a factor tree or leave it as is.
BRAINLIEST PLEASE IF RIGHT
WHAT IS THE MEDIAN I WILL GIVE BRAINIEST
Answer:
5 is the median
Step-by-step explanation:
By crossing out the points on each side one by one, you could find that 5 is the median.
HELPP! E(f + g) =
Help
Ramsay cuts out a piece from a circular cardboard for a school project. The radius of the cardboard is 10 inches and the measure of the central angle is 54 degrees, as shown.
What is the length of the curved boundary of the piece of the cardboard Ramsay cuts out?
Leave in terms of π.
Answer:
34 inches
Step-by-step explanation :
54/360 X 20
H E L P
what is the slope??