There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
Answer:
The probability of getting two of the same color is 61/121 or about 50.41%.
Step-by-step explanation:
The bag is filled with five blue marbles and six red marbles.
And we want to find the probability of getting two of the same color.
If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.
In other words, we can find the independent probability of each case and add the probabilities together*.
The probability of getting a red marble first is:
[tex]\displaystyle P\left(\text{Red}\right)=\frac{6}{11}[/tex]
Since the marble is replaced, the probability of getting another red is: [tex]\displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}[/tex]
The probability of getting a blue marble first is:
[tex]\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}[/tex]
And the probability of getting another blue is:
[tex]\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}[/tex]
So, the probability of getting two of the same color is:
[tex]\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%[/tex]
*Note:
We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.
What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, …
Answer:
y = 3x -7?
Step-by-step explanation:
started from 7 and going infinite
How many quarters are there in 5 and 3/4
Answer:
23
Each 1 has 4 quarters
5*4=20
20+3
23
Step-by-step explanation:
PLEASE HELP ME ASAP PLEASE! I KEEP GETTING SPAMMED
EXPLANATION = BRAINLIEST
The area is 220 square yd.
The missing length is ___ yd
Given : Area of the parallelogram is 220 square yard
We know that :
⊕ Area of a parallelogram is given by : Base x Height
⇒ Base x Height = 220
Given : Height of the parallelogram = 11 yards
⇒ Base x 11 = 220
⇒ Base = 20 yards
⇒ Missing Length = 20 yards
Al vender una refrigeradora, gané s/. 580. Si después de la venta gasté s/. 1 260 y me queda s/. 480, ¿Cuánto costó la refrigeradora?
Answer:
english plz
Step-by-step explanation:
4 1⁄10 ÷ 1 1⁄2 plsss answerr now ..thankyou
Answer:
2 11/15
Step-by-step explanation:
Answer:
41/15
Step-by-step explanation:
[tex]4\frac{1}{10}[/tex] ÷[tex]1\frac{1}{2}[/tex]
first convert mixed fraction into or improper fractions.
=4*10+1/10 ÷ 1*2+1/2
=41/10 ÷ 3/2
convert division sign to multiplication and do the reciprocal.
=41/10 * 2/3
=41*2/10*3
=82/30
=41/15
Noah says that 2^4 • 3^2 = 6^6.
Tyler says that 2^4 • 4^2 = 16^2
Do you agree with Noah? Explain or show your reasoning.
Do you agree with Tyler? Explain or show your reasoning.
Answer: 5/6
Step-by-step explanation:
Scott spent $54 on fruit at the grocery store. He spent a total of $60 at the store. What percentage of the total did he spend
on fruit?
Help !!!!
Answer:
I think it is 90%
Step-by-step explanation:
this is the case because 54/60 will be 9/10 if reduced
Grace was cutting out paper snowflakes for the upcoming
school dance. It will take her 20 minutes to make the large
snowflake. It takes her 5 minutes to make each of the
smaller snowflakes. Grace only has 60 minutes to work on
snowflakes before she goes to soccer practice.
Write and solve an inequality that represents n, the
number of smaller snowflakes Grace will have time to
finish. Show your work algebraically.
Answer:
12 small snowflakes
Step-by-step explanation:
if she only has 60 minutes to make them and each small snowflake takes 5 minutes, then we solve with the equation:
n = 60/5
*edit: i forgot how to write an equality lol, that isn't the answer
Answer:
12 small snowflakes
Step-by-step explanation:
Because the math equals out to that
Người ta dự định chuyển 78452 lít dầu từ kho A sang kho B Trong 4 ngày đầu mỗi ngày chuyển được 18214 lít dầu hỏi còn phải chuyển bao nhiêu lít dầu nữa
Answer:
5596 liters of oil still need to be transferred.
Step-by-step explanation:
Total oil = 78452 liters
oil transferred each day for 4 days = 18214 liters
The amount of oil transferred in 4 days = 4 x 18214 = 72856 liters
The mount of oil left in ware house A
= 78452 - 72856
= 5596 liters
PLEASE PLEASE PLEASE HELP ME
EXPLAINING YOUR ANSWER WILL GIVE YOU BRAINLIEST
I REALLY NEED HELP AND ACCURATE ANSWERS
Answer:
the area of sector is
[tex] \frac{126}{360} \times \pi \times ( \frac{16}{2} ) {}^{2} = \frac{112}{5} \pi[/tex]
Answer:
Step-by-step explanation:
126/360 × pi× radius²= Area of the sector
Evaluate: 4.5p + 8.2n when p=6 and n=5.
Answer:
68
Step-by-step explanation:
4.5p + 8.2n when p=6 and n=5
Subsitute for p and n
4.5(6) + 8.2(5)
Multiply
27 + 41
add
68
what is 94.2 and 87 averaged out
Answer: 90.5
Step-by-step explanation:
Answer:
90.6
Step-by-step explanation:
If you mean "what is the average of 94.2 and 87," that is found as follows:
94.2 + 87
------------------ = 90.6
2
We say, "the average" (or "the mean") of 94.2 and 87 is 90.6." 90.6 lies exactly halfway between 87 and 94.2.
Kiera and her brother, Desmond, are making trail mix to bring on their family's camping trip. Kiera uses 2 cups of raisins and 5 cups of nuts in her trail mix. Desmond uses 3 cups of raisins and 6 cups of nuts in his trail mix. Whose trail mix has a lower ratio of raisins to nuts?
Answer:
Kiera has a lower ratio of raisins to nuts. (2:5)
Step-by-step explanation:
To find this, you would have to make the number of nuts the same in each to accurately compare them.
It starts with Kiera's 2 cups of raisins and 5 cups of nuts. So it will be 2:5 (raisins first then nuts.)
Desmond will be 3:6 (have to make it the same order, raisins and then nuts.)
So I multiplied both the 2 and the 5 in 2:5 by 6 first.
Then multiply both the 3 and 6 in 3:6 by 5 to make the number of nuts the same in both.
So Kiera will have 12:30 and Desmond will have 15:30.
Then you can conclude that Kiera has the lower ratio.
Select the rule for each piece. Rule for piece 1: Rule for piece 2:
Answer:
Rule for piece 1: y=-x
Rule for piece 2: y=1
Rule for piece 3: y = 2-x
Step-by-step explanation:
The penguins currently living on an island are of two types, Chinstrap penguins and Gentoo penguins. The range of the heights of the Chinstrap penguins on the island is 13.2 centimeters, and the range of the heights of the Gentoo penguins on the island is 15.4 centimeters.
Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the penguins on the island?
Indicate all such statements.
A The tallest Gentoo penguin on the island is 5.8 centimeters taller than the tallest Chinstrap penguin on the island.
B The median height of the Gentoo penguins on the island is 1.1 centimeters greater than the median height of the Chinstrap penguins on the island.
C The average (arithmetic mean) height of the Gentoo penguins on the island is 4.6 centimeters greater than the average height of the Chinstrap penguins on the island.
Answer:
The answer is "Option A"
Step-by-step explanation:
Using the range difference to calculate the maximum and minimum value.
The range of the chinstrap penguins are:
[tex]R(c) = Max(c) - Min(c) = 13.2[/tex]
The range of the Gentoo penguins are:
[tex]R(g) = Max(g) - Min(g) = 15.4[/tex]
For point A:
[tex]Max(c) = x\\\\Max(g) = x + 5.8\\\\R(c) = x - Min(c) = 13.2 \to x = 13.2 + Min(c)\\\\R(g) = x + 5.8 - Min(g) = 15.4 \to x = 9.6 + Min(g)[/tex]
equate both of them
[tex]13.2 + Min(c) = 9.6 + Min(g)Min(g) - Min(c) = 3.6[/tex]
It indicates that Min(c) surpasses Min(g), whereas Max(g) exceeds Max (c).
Therefore, the Max is picked for g for all penguins and the minimum is picked for c.
Range of all penguins [tex]= Max(g) - Min(c) = x + 5.8 - x + 13.2 = 19[/tex]
Therefore, it will be determined as the option.
For point B:
In estimating the range the median height cannot help.
For point C:
In order to calculate the variety, the connection between both the mean height cannot be sued.
What is the volume of the square pyramid? Enter in the box ___m^3
Answer:
V = 400 m^3
Step-by-step explanation:
The volume of a square pyramid is
V = 1/3 Bh where B is the area of the base and h is the height
B = 10 *10 = 50
V = 1/3 (100)* 12
V = 400 m^3
Please someone help me if you can't that is okay but please try I am extremely desperate
Answer:
A
Step-by-step explanation:
2x + x = 3x
y - 3y = 2y
I really need help on this problem ASAP please and thank you
Answer:
Step-by-step explanation:
Help,anyone can help me do quetion
Answer:
B1: x = 51
C1: x = 73, y = 34
Step-by-step explanation:
B1:
By exterior angle theorem:
x° + 54° = 105°
x° = 105° - 54°
x° = 51°
x = 51
C1
x° = 73°(Alternate angles)
x = 73
y° = 34° (corresponding angles)
y = 34
Two angles are complementary. If one angle measures 48°, what is the measure of the other angle?
a
42°
b
48°
c
132°
d
52°
Answer:
A
Step-by-step explanation:
The sum of two complementary angles is 90 degrees
x + 48 = 90
x = 90 -48
x = 42 degrees
pls pls help due in 1hr
Answer:
5.2 =x
Step-by-step explanation:
We know the opposite side and the hypotenuse
sin theta = opp/ hypotenuse
sin 48 = x/7
7 sin 48 =x
5.202013778 =x
Rounding to 1 decimal place
5.2 =x
1) f(x) = 3x2+ 5x -2
a) Write an equation that can be used to find the zeros of the function.
b) What are the zeros of the function?
Please help I need the answer right
Answer:
B) 4 inches
Step-by-step explanation:
Since ABC is congruent to EFG then AB is congruent to EF, and BC is congruent to FG.
BC = 4 in
FG = 4 in
please help with this !!!!
Answer:
0
Step-by-step explanation:
this is just to confuse us.
"t" is used instead of "x" (probably because the formula has something to do with "time"). but it does not matter.
and 3 different functional definitions have been given based on the value of the argument "t".
we need the functional value for t=2.
is 2 = 8 ? no. therefore the first definition does not apply.
is 2 = 10 ? no. therefore the second definition does not apply either.
is 2 unequal to 8 or 10 ? yes, 2 is 2 and not 8 and not 10.
so, the third definition applies :
f(2) = 2² - 3×2 + 2 = 4 - 6 + 2 = 0
1. If one leg gets longer the other leg must also
get longer in order to keep the hypotenuse the
same.
TRUE
FALSE
A water tank is in the shape of a cylinder with a diameter of 20 feet and a height of 20 feet. The tank is 70% full. About how many gallons of water are in the tank?
Answer:
32901 gallons
Step-by-step explanation:
First, we find the volume of the cylindrical water tank when it is full.
The volume of a cylinder is given as:
V =
where r = radius and h = height of the cylinder
The diameter of the tank is 20 feet, hence, its radius is 10 feet.
Volume, V, is therefore:
V =
This is the volume of the tank, when it is full.
When it is 70% full, the volume will be:
1 cubic foot () is 7.48 gallons.
Therefore, the volume of the 70% full tank in gallons will be:
4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons
The tank contains 32901 gallons of water.
Answer:
approximately 32,900 gallons
Step-by-step explanation:
volume water in tank
v = πr²h * .70
v = π * 10² * 20 * .70
v = 4,398.2297150257 ft³
1 ft³ = 7.48 gallons
gallons in tank
4,398.2297150257 * 7.48 = 32,898.7582683922
~ 32,900 gallons
Find the area of a regular Heptagon with a side length of 7?
Answer:
[tex]seven \: sides \\ area = (7 \times 7) \\ = 49 \: sq \: units[/tex]
Write the number 10 000 000 as a power of 10.
Answer:
10⁷
Step-by-step explanation:
Just count the number of zero and raise the counted number of zero.
Question 16 of 36
Solve 16x+8>12x+20
A.x>7
B.x<3
C.x<7
D.x>3
Answer:
X>3 which is B
Step-by-step explanation:
Answer:
D. x > 3
Step-by-step explanation:
We have:
16x + 8 > 12x + 20
We have to make x be alone on one side.
So first, we subtract both sides by 8:
16x > 12x + 12
Subtract 12x from both sides:
4x > 12
Divide both sides by 4:
x > 3