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)
Can someone help please. I’ll give brainleist.
Jaylah has two packages of trail mix. The first package weighs 2.40 pounds and the second package weighs 3.25 pounds. She mixes the two packages together and forms smaller bags amounts that weigh 0.25. What is the greatest number of 0.25 bags Jaylah can make using the trail mix she has?
3 3
Insert three rational and three irrationall
no. between 150 and
and 0
160
Answer:
Step-by-step explanation:
Rational numbers:
(150+160)/2 = 310/2 = 155
(150+155)/2 = 305/2= 152.5
(155 +160)/2 = 315/2= 157.5
155, 152.5 , 157.5 are rational numbers between 150 and 160
Irrational numbers:
Irrational numbers are numbers that are non terminating and non repeating numbers
155.502003000.....
155.202002000......
156.3120578.......
Answer:
Required Answer :-1st rational number
= a + b/2
= 150 + 160/2
= 310/2 (1)
2nd rational number
Middle term of 150 and 160 is 155
= 150 + 155/2
= 305/2
3rd rational number
= 160 + 155/2
= 315/2
[tex] \\ [/tex]
Distance: Jack and Jill start from the same point and walk in'opposite directions. Jack
walks 2 kmh faster than Jill. After 3 hours they are 30 kilometers apart. How fast did
each walk?
Answer:
t = 6 km/hour
And, J would be 4 km per hour
Step-by-step explanation:
Let us assume the speed of Tom be T
And, the Speed of Jim be J
Given that
T - J = 2 km /hr ...........(i)
After 3 hours distance between them = 30 km
As they are walking in the opposite direction
Thus,
Net speed =T + J
L ÷ (T+J) = 3
30 ÷ (T+J) = 3
T +J =10 ..............(2)
After solving these two equations
2T = 12
t = 6 km/hour
And, J would be 4 km per hour
Item costing $16 is sold for $27.50 what's the markup? Whats the% of markup on cost and selling price?
Answer:
The market up is 11.5$.......
The polygons in each pair are similar. Find the missing side length.
A.4
B.3
C.3
D.7
Answer:
A. 4
Step-by-step explanation:
If the length 6 become 3 in the corresponding side of the congruent shape,
then 8 becomes 4 (Ratio 2:1)
Hope this helps
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x? x = 8 x = 10 x = 13 x = 18
Answer:
x = 10
Step-by-step explanation:
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?
The sum of the exterior angles of a decagon = 360°
Decagon = 10 sides
Each angle in a decagon = 360/10
= 36°
We are told that:
Each exterior angle of a regular decagon has a measure of (3x + 6)°.
Hence,
(3x + 6)° = 36°
Collect like terms
3x = 36 - 6
3x = 30
x = 30/3
x = 10
Answer: The person above me is correct! It is B. X=10 I got a 100% on the test! Edge2021
Step-by-step explanation:
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
The answer would be letter C
Help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help. Help me please
Answer:
12,300
Step-by-step explanation:
I'll right this as a function to make it easier on me.
f(x) = 7500(1 + 0.8)^x
f(2) = 7500(1 + 0.8)^2
f(2) = 7500(1 + 0.64)
f(2) = 7500(1.64)
f(2) = 12300
Answer:
$8700
Step-by-step explanation:
0.08 x 2 yrs = 0.16
7500 x 0.16 =1200
7500 + 1200 = 8700
The total area of a rectangular shaped playground is 24 1/2 squared meters. If the width of the playground is 3 1/2 meters, which of the following is the length of the playground?
a. 7m
b. 28m
c. 85.75m
d. 0.7m
Answer:
a
Step-by-step explanation:
please answer the following
please explain how you got your answer
Answer:
P(1) = 4/20 or 1/5
P(2) = 3/20
P(3) = 7/20
P(4) = 6/20 or 3/10
Step-by-step explanation:
Crystal spun the spinner 20 times. 1 was the outcome 4 times out of 20 spins, so the experimental probability would be 4/20 or 1/5. Same goes for all the other ones.
Line BC is tangent to the circle centered at A. Find the measure of angle BCA. Explain or show your reasoning.
Answer:
[tex] m\angle BCA= 33\degree[/tex]
Step-by-step explanation:
[tex] In\: \odot A[/tex] BC is tangent to the circle at point B.
Therefore, by tangent-radius theorem:
[tex] \therefore AB\perp BC[/tex]
[tex] \therefore \angle ABC = 90\degree [/tex]
[tex] In\: \triangle ABC, [/tex]
[tex] m\angle ABC +m\angle BAC +m\angle BCA= 180\degree [/tex]
[tex] 90\degree+57\degree +m\angle BCA= 180\degree [/tex]
[tex] 147\degree +m\angle BCA= 180\degree [/tex]
[tex] m\angle BCA= 180\degree - 147\degree[/tex]
[tex] m\angle BCA= 33\degree[/tex]
Can someone please help me asap ill mark brainlist + extra points!!!!!
Step-by-step explanation:
1. radius=d/2= 30/2= 15yds
diameter= 30yds
area=πr²= 22/7*(15)²
707.14yds²
circumference= 2πr=2*22/7*15
94.29yds
2.radius=8in
diameter= 2r =2(8)=16in
area=πr²= 22/7*(8)²
201.14in²
circumference= 2πr=2*22/7*13
50.29in
3.radius=d/2 =20/2=10ft
diameter= 20ft
area=πr²= 22/7*(10)²
314.29ft²
circumference= 2πr=2*22/7*10
62.86ft
99 newspapers in 3 piles
Answer:
33 newspapers per 1 pile.
Step-by-step explanation:
33+33+33=99
Answer:
there would be 33 news papers in each pile
Step-by-step explanation:
when you divide 99 from 3 you will get 33 so you would have 33 in each pile hope this helps.
Roger has two dogs which are named Sparky and Cookie. The relationship of Sparky’s age, s, and Cookie’s age, c, can be represented by the equation shown below. s = c + 4 *
Answer:
sparky is 4 years older than cookie
__________________________
hope this helps, I wasn't entirely certain what the question was.
I need help what is d/7 > 15???
Answer:
d>107
Step-by-step explanation:
I am sorry if you got this wrong..
question number.4
help me plss
Answer:
C
Step-by-step explanation:
65%=65/100
=0.65
This is the required answer.
What is the surface area of the triangular prism shown?
A.32 square centimeters
B.120 square centimeters
C.184 square centimeters
D.1,560 square centimeters
NO LINKS TO WEBSITES!!!!!!!!
Answer:
C. 184 square centimeters
Step-by-step explanation:
4 x 6 = 24
there are 2 of them so you leave it the same
5 x 10 = 50
there are 2 of them so
50 x 2 = 100
6 x 10 = 60
24 + 100 + 60 = 184
184 square centimeters
The rectangular prism has a height of 10 inches and a base of 25 square inches. What is the volume of the rectangular prism?
Answer:
250 in^3
Step-by-step explanation:
V=BH
v=10(25)
v=250 in^3
Ellen ate dinner at a restaurant. The bill came to $63. If she left a 15% tip, what was the total cost of her dinner ? Round your answer to the nearest dollar : $
Answer:
72.45
Step-by-step explanation:
Take 63 and multiply by 0.15 to represent the tip
Then take the answer of 9.45 and add it to 63
Your final answer is 72.45.
63.00×15%=9.45 +63.=72.45
What is easier math or reading? Explain why.
Also be serious when answering
Answer:
That is an opinion. Some find math easier and some find reading easier. There is no right or wrong answer to that.
Step-by-step explanation:
Answer:
reading is easier than math because math has to do with numbers and there are so many diffrent ways to do math and so may diffrent formals to us for math there for reading is easier than math
Step-by-step explanation:
Which list shows these numbers in order from least to greatest?
37
6
-5.17, 33,
26
5
Answer:
The answer to this question should be H
what number can you use in place of the pi symbol
Answer:
You can use 3.14 or 22/7 in the place of π.
Answer:
3.14
Step-by-step explanation:
22/7 when simplified is 3.142857143 and pi is 3.141592654
Find the cost of tiling the floor of a room which is 250m long and 100m wide at the rate of Tk.
80 per m2.
Answer:
2000000Taka.
Step-by-step explanation:
Area of the room= 250x100
=25000m²
Each m²= Tk 80
so, 25000x80
=2000000 Taka.
plz mark me as brainliest !
work out 4/11 + 2/5, Give your answer in its simplest form
Answer:
42/55
Step-by-step explanation:
4/11+2/5 LCD=55
20/55+22/55
42/55
A toy shop orders 11 boxes of marbles Each box contains 6 bags of marbles Each bay contains 45 marbles How many marbles does the shop order in total?
Answer:
2970 marbles
Step-by-step explanation:
First, find how many bags of marbles there were:
11(6)
= 66
Find how many marbles there are
66(45)
= 2970
So, there were 2970 marbles in total
Answer:
Required Answer :-At first the total no. of bags
=> 11 × 6
=> 66
Now
Total marble
=> 45 × 66
=> 2970
[tex] \\ [/tex]
Find the volume of the sphere. Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and round your final answer to the nearest hundredth.
radius is 8
Answer:
Solution :-Volume of sphere = 4/3 πr³
Volume = 4/3 × 3.14 × 8³
Volume = 4/3 × 3.14 × 512
Volume = 4/3 × 1607.68
Volume = 2143 in³
[tex] \\ [/tex]
Radius of the sphere is 8 units.
To Find:-The volume of the sphere.
Solution:-We know, volume of sphere is [tex] \frac{4}{3} [/tex]πr³
So, volume of sphere = [tex] \frac{4}{3} [/tex] × 3.14 × 8 × 8 × 8
= [tex] \frac{6430.72}{3} [/tex]
= 2143.6
The volume of the sphere is 2143.6 cubic units. [Answer]How to simpfly fractions?
-Step by step
-Answer 15/36
Answer:
5/12
Step-by-step explanation:
15÷3/36 ÷3
the answer is 5/12
Answer:
5/12
Step-by-step explanation:
15/36 ÷ 3
5/12
mark mope brainliest
In the given ∆ABC, DE || BC. What is the value of x?
A)12 in.
B)16 in.
C)20 in.
D)30 in.
Answer:
I think B is the correct answer, sorry im not very good with math tho.
Step-by-step explanation:
Sorry if its incorrect
Complete the table and graph the solutions of the the equation is y = 2x + 1