Answer:
[tex]P(First\ White\ and\ Second\ Blue) = \frac{3}{28}[/tex]
[tex]P(Same) = \frac{67}{210}[/tex]
Step-by-step explanation:
Given (Omitted from the question)
[tex]Red = 7[/tex]
[tex]White = 9[/tex]
[tex]Blue = 5[/tex]
Solving (a): [tex]P(First\ White\ and\ Second\ Blue)[/tex]
This is calculated using:
[tex]P(First\ White\ and\ Second\ Blue) = P(White) * P(Blue)[/tex]
[tex]P(First\ White\ and\ Second\ Blue) = \frac{n(White)}{Total} * \frac{n(Blue)}{Total - 1}[/tex]
We used Total - 1 because it is a probability without replacement
So, we have:
[tex]P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{21 - 1}[/tex]
[tex]P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{20}[/tex]
[tex]P(First\ White\ and\ Second\ Blue) = \frac{9*5}{21*20}[/tex]
[tex]P(First\ White\ and\ Second\ Blue) = \frac{45}{420}[/tex]
[tex]P(First\ White\ and\ Second\ Blue) = \frac{3}{28}[/tex]
Solving (b) [tex]P(Same)[/tex]
This is calculated as:
[tex]P(Same) = P(First\ Blue\ and Second\ Blue)\[/tex][tex]or\ P(First\ Red\ and Second\ Red)\ or\ P(First\ White\ and Second\ White)[/tex]
[tex]P(Same) = (\frac{n(Blue)}{Total} * \frac{n(Blue)-1}{Total-1})+(\frac{n(Red)}{Total} * \frac{n(Red)-1}{Total-1})+(\frac{n(White)}{Total} * \frac{n(White)-1}{Total-1})[/tex]
[tex]P(Same) = (\frac{5}{21} * \frac{4}{20})+(\frac{7}{21} * \frac{6}{20})+(\frac{9}{21} * \frac{8}{20})[/tex]
[tex]P(Same) = \frac{20}{420}+\frac{42}{420} +\frac{72}{420}[/tex]
[tex]P(Same) = \frac{20+42+72}{420}[/tex]
[tex]P(Same) = \frac{134}{420}[/tex]
[tex]P(Same) = \frac{67}{210}[/tex]
It snowed 20 inches in 10 days in Canada. At what unit rate did the snow fall?
Answer:
2 inches per day
Explanation:
Divide 20 by 10
Does this look right? Explain why
5/6
6.565656…
0.23
-5 3/8
Answer:
Yes
Step-by-step explanation:
Yes ,a rational number is a number that can be expressed as a fraction. Repeating and terminating decimal are rational number so
5/6 is right since it is a fraction
6.565646 is right since it is a repeating decimal
0.23 is right since it is a terminating decimal
-5 3/8 is right since it is a mixed number
Sqr root of 11 and 0.32416.... is wrong since it creates multiple random unknown digits
Julie drank 2/3 liter of water monday before going jogging she drank 5/7 liter of water after her jog how much water did julie drink altogether answer in mixed number
Answer:
1 8/21
Step-by-step explanation:
5/7 = 15/21
2/3 = 14/21
15/21+14/21=29/21
What is the value of (4/3)^3
Answer:
64/27 = 2.37037037
Step-by-step explanation:
(4/3)^3
Calculate 4/3 to the power of 3 and get 64/27
64/27
• Work out the percentage change to 2 decimal places when £78.98 is increased to £100
Answer:
The total change is £21.02 from the original amount of £78.98. Therefore, the percentage change is directly related to the original amount.
Divide the total change by the original amount to determine the percentage change the new amount represents.
21.02÷78.98=0.15219 which rounds up to two decimal places as 15.22%.
Simplify 8w+3-2w=11(-4w+2)
Answer:
w = 2.63157894736
Step-by-step explanation:
8w+3-2w=11(-4w+2) | Given
6w + 3 = -44w + 22 | Combine like terms & distribute
50w + 3 = 22 | Add 44w to both sides
50w = 19 | Subtract 3 from both sides (simplified)
w = 2.63157894736 | Divide both sides by 50 (value of w)
x + 7 = 9
What does X equal?
Given the point (-4,-6), what is the coordinate of the point reflected over the X-axis and Y-axis?
Answer:
(4, 6)
Step-by-step explanation:
if it's a reflection then I believe it would just look exactly the same only with positive numbers
sorry if it's wrong, but hope it helps :)
Answer:
(4, 6)
Step-by-step explanation:
In the question it says "reflected over the X-axis and the Y-axis?"
When reflected you get (4, 6)
The opposite of Negative is positive
Find the surface area of the triangular pyramid. The side lengths of the base are equal.
8.7 cm
6 cm
10 cm
The surface area is
square centimeters.
Answer:
522.0
Step-by-step explanation:
10*6=60
60*8.7=522.0
or you can take out the zero either way that's the answer
Answer:
522.0
Step-by-step explanation:
Step-by-step explanation:
10*6=60
60*8.7=522.0
or you can take out the zero either way that's the answer
Please Help asap!! I will give brainly to whoever answer correctly! I need to submit this answer by today!
Which statement best describes the expression 3y ÷ 8?
(answer choices-
A- 8 divided by 3 times y
B- 8 times y divided by 3
C- 3 divided by 8 times y
D- 3 times y divided by 8
Answer:
C or D
Step-by-step explanation:
Answer:
I think option D 3 times y divided by 8
Wilma can walk 4 miles in 30 minutes. How many miles can she walk in 3 hours?
Answer:
24 miles
Step-by-step explanation:
3 hours = 180 minutes
[tex]\frac{4}{y}: \frac{30}{180}[/tex]
y × 30 = 4 × 180
30y = 720
30y ÷ 30 = 720 ÷ 30
y = 24
Susan incorrectly factored the expression below. 12a − 15b + 6 3 (4a + 5b + 3)
Answer:
3(4a−5b+2)
Step-by-step explanation:
The answer should have originally been 3(4a-5b+2)
3(4a+5b+3)= 12a+15b+9 which is incorrect.
x: x is a positive counting number less 25}
Answer:
As the givens set A contains 24 elements.
Therefore,
The Cardinality of the set A = 24
Step-by-step explanation:
Let the given set is A
A = {x: x is a positive counting number less 25}
The set of natural numbers is often termed as the Counting number set.
As the counting numbers are less than 25.Thus,
Set A will be:
[tex]A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24}[/tex]
The Cardinality of the set
The Cardinality of the set represents the total number of elements in a given set.
As the givens set A contains 24 elements.
Therefore,
The Cardinality of the set A = 24
raiz cuadrada de -200
Find the surface area of the regular pyramid
1 Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her part-time job and then deposit birthday money from her Aunt Marlene ($40 each birthday). Her goal is to have saved $6,000 by the time she graduates from high school in three years. 1. Write a function that models Yvonne's savings. 2. Simplify your function. 3. Use your function to create a graph of Yvonne's savings.(input your function in your calculator and take a screenshot)
Answer:
Step-by-step explanation:
Yvonne is saving money for college, and currently has $1200 in a savings account. She plans to deposit $30 each week from her part-time job and then deposit birthday money from her Aunt Marlene ($40 each birthday). Her goal is to have saved $6,000 by the time she graduates from high school in three years. 1. Write a function that models Yvonne's savings. 2. Simplify your function. 3. Use your function to create a graph of Yvonne's savings.(input your function in your calculator and take a screenshot)
Aaron went to watch The Avengers at the movie theater. He noticed that 60% of the movie extras during one of the scenes were teachers from his school. He recognized 24 teachers from his school. How many movie extras were there all together?
Answer:
40 extras
Step-by-step explanation:
24 is 60% I would divide 24 by 6 to get 10% 24/6 is 4. 4*10 is 40. There were 40 extra's all together.
please help me! i’ll mark you as brainlist !
Answer:
6. No, they are not similar. The differences in the side angles are not the same for RS and MP. That relationship equals 1.3, but the other side lengths' relationships are equal to 1.25. Thus, due to the fact that the side lengths are not all equal to the same value, the triangles are not similar.
7. No, they are not similar. The angles are not the same for the two triangles. I know this due to how 48+77 is equal to 125. 180-125 is not equal to 66. Similarly, 48+66 is equal to 114, and 180-114 is not equal to 77.
Step-by-step explanation:
Kaylee invested $830 in an account paying an interest rate of 6.6% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,260?
Answer:
t≈6
Plug values into A=P(1+r/n)^nt
Write the quadratic equation whose roots are 6 and -6, and whose leading coefficient is 2.
(Use the letter x to represent the variable.)
Answer:
y = 2x² - 72 = 0
Step-by-step explanation:
2(x - 6)(x + 6) = 0
2(x² - 36) = 0
2x² - 72 = 0
The quadratic equation with roots 6 and -6 and a leading coefficient of 2 is 2x² - 72 = 0 represents the quadratic equation.
A quadratic equation with roots at 6 and -6 can be written in factored form as:
(x - 6)(x + 6) = 0
To find the quadratic equation with the leading coefficient of 2, we multiply both sides of the equation by 2:
2(x - 6)(x + 6) = 0
Expanding the equation:
2(x² - 36) = 0
Distributing the 2:
2x² - 72 = 0
Therefore, the quadratic equation with roots 6 and -6 and a leading coefficient of 2 is:
2x² - 72 = 0
To know more about quadratic equation click here :
https://brainly.com/question/30111792
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Thera are 9 players on a baseball team a club has 9 baseball teams how many baseball players are in the club
Answer:
81
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
9 in each team and theres 9 teams in all
9*9=81
-u/5=-27 help pls due today
Answer:
u = 135
hoped i helped u
Step-by-step explanation:
x = y+2
x+4y=7
Please help!
A coin is tossed and six sided die numbered 1 through 6 is rolled. Find the probability of tossing a tail and then rolling a number greater than 1.
Answer:
5/12
Step-by-step explanation:
A coin has two faces (H, T)
n(S) = 2 (sample space)
If it is tossed and a rail is gotten,
n(E) = 1 (event)
Probability of tossing a tail = n(E)/n(S)) = 1/2
If a dice is rolled, the sample space S = {1, 2, 3, 4, 5, 6}
n(S) = 6
Number greater than 1 are the evens E = {2, 3, 4, 5, 6}
n(E) = 5
pr(rolling a number greater than 1) = 5/6
Hence the probability of tossing a tail and then rolling a number greater than 1 = 1/2 * 5/6
= 5/12
what is 6 more than -3 in integers
Answer:
3
Step-by-step explanation:
-3 + 6 would be 3.
hope it helps!
is 0.12 greater than 0.9?
A 42 inch Plasma TV first hit the market at a price of 1800. After the holidays it was reduced by 20% and finally the price was slashed another 25%. What was the final price of the TV?
9514 1404 393
Answer:
1080
Step-by-step explanation:
The first price reduction reduced the price to (1 -20%) = 0.80 times the original. The second price reduction reduced the price to ...
0.80(1 -25%) = 0.80×0.75 = 0.60
times the original.
The final price was ...
1800 × 0.60 = 1080
A recent survey of 1210 people found that out of all respondents, only 579 shop at local farmer's markets.
Express the ratio of people who shop at local farmer's markets to the total as a decimal rounded to the thousandths place. 2 points
Is this a part-to-part or a part-to-whole ratio? 1 point
Only on your paper: Write a sentence about the ratio. (Remember not to use the word "ratio" and to use a percent version, if it is a part-to-whole ratio.)
Point M is the midpoint of AB. Find AM.
2x + 34
6x + 26
+
A
M M
B
Answer: AM = 76 and AB = 152
Step-by-step explanation:A little annoying but basically AM times 2 shoud equal AB or (2x+34)*2 = 6x+26 solve to get x equals 21 plug back in to get 76 for AM and 152 for AB
Solve the inequality.
m + 3 < 5
Please help with this
Answer:
Step-by-step explanation:
m+3 < 5
Isolate the m by subtracting 3
m+3 - 3 < 5 - 3
m < 2