Answer:
5050550
Step-by-step explanation:
there are n counters in a bag. 4 of the counters are red and the rest are blue. Ross takes a counter from the bag at random and does not replace it. he then takes another counter at random from the bag. the probability Ross takes two blue counters is 1/3. find the value of n
Answer: n = 10.
Step-by-step explanation:
In the bag, we have n counters.
4 of the counters are red.
the rest are blue, then we have:
(n - 4) blue counters.
Now, the probability that Ross takes a blue counter from the bag is equal to the quotient between the number of blue counters (n - 4) and the total number of counters, n
Then the probability is:
p1 = (n - 4)/n
Now he draws another, and it must be blue again, then we can calculate the probability in the same way as above, but he already take a blue counter, so the number of blue counters is (n - 5) and the total number of counters is (n - 1)
The probability of this event is:
p2 = (n - 5)/(n - 1)
The joint probability (the probability that Ross takes two blue counters) is equal to the product of the individual probabilities, and we know that this is equal to 1/3, then we have the equation:
1/3 = ( (n - 4)/n)*((n - 5)/(n - 1))
Now let's solve this for n.
n*(n - 1)/3 = (n - 4)*(n - 5)
(n^2 - n)/3 = n^2 - 4*n - 5*n + 20
n^2 - n = 3*(n^2 - 9*n + 20)
n^2 - n = 3*n^2 - 27*n + 60
0 = (3*n^2 - n^2) - 27*n + n + 60
0 = 2*n^2 - 26*n + 60
The two solutions of this equation can be found with Bhaskara's equation:
[tex]n = \frac{-(-26) +- \sqrt{(-26)^2 - 4*2*60} }{2*2} = \frac{26+- 14}{4}[/tex]
Then the two solutions are:
n = (26 - 14)/4 = 3
This is not an option, because we know for sure that we have 4 red counters, then this option can be discarded.
The other solution is:
n = (26 + 14)/4 = 40/4 = 10
Then we have n = 10, 10 counters in total.
What value of a is a solution to this equation? a–6=6
Answer:
a=12
Step-by-step explanation:
12-6=6
at a concert 20% of the people were there to see the opening act the rest were there to see The Beatles. There were 4,820 there to see The Beatles what was the total number of people that attended the concert
Answer:
5784
Step-by-step explanation:
Because 20 percent of 4820 is 964 and then you add 4820 and 964 to get 5784 :)
aye please help me with this math work
7p - 8 = -22
A- p=2
B- p=-2
C- p = 15
D- p=-15
Find the distance between the points 10,2 and 5,-10
HELP NOW AND PLS SHOW YOUR WORK ON HOW YOU GET THE ANSWER PLS Pls
Answer:
Xenon
Step-by-step explanation:
Its the lowest buddy
what's the square route of pie times 10? pls help me high school is stressful-
Answer:
(-2) + (3-7)
(-1) * (-2)
EVALUATE THE EXPRESSION
Step-by-step explanation:
HELP ME ON THIS QUESTION
Pls help I’ve been stuck on this for a while
Answer:
Maybe 60
Step-by-step explanation:
I don't know just please guess sorry but can you mark as brainiest.
The sum of three consecutive even numbers is 96. What is the largest number in the
set?
34
32
30
36
Answer:
The sum of three consecutive even numbers is 96is 34
This is 8th grade math.
Answer:
x = 1 , y = - 2
Step-by-step explanation:
What is the rule for the following geometric sequence? 64, 128, 256, 512
Answer:
64 (2) ^ n-1
Step-by-step explanation:
The rule for the given geometric sequence is 64(2)ⁿ⁻¹
What is a geometric sequence?A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
Its general term is arⁿ⁻¹. The value r is called the common ratio.
Given is a geometric sequence, 64, 128, 256, 512....., we need to find the rule for the sequence,
The general formula for geometric sequence, = arⁿ⁻¹
Finding the common ratio, r = aₙ₊₁ / a₁
r = 128 / 64 = 2
Therefore, we can write, the rule as,
aₙ = 64(2)ⁿ⁻¹
Hence, the rule for the given geometric sequence is 64(2)ⁿ⁻¹
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PLEASE ANSWER FAST NEED RIGHT NOW
Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing, and the end behavior when the following changes are made. Make sure to account for even and odd functions. When f(x) becomes f(x)-4 When f(x) becomes -f(x+2)
(please help quickly find the greatest common factor of the following numbers
Answer:
1a. 4
1b. 10
2a. 12
2b. 15
3a. 6
3b. 14
4a. 14
4b. 5
Write an inequality to represent this situation.
Answer: x + 30.25 > 50
Step-by-step explanation: X is the amount need to reach 50 dollars or more.
You are given the expressions:
3 x (3 + 7) – 42 = 2.
Explain how you will
find the solution
Answer:
22/15=x
Step-by-step explanation:
Well first off we have to do the stuff in the parentheses-
3x(3+7)-42=2
9x+21x-42=2 Now we have to get x by itself
+42 +42
9x+21x=44 Now add the like terms
30x=44 Divide by 30
/30 /30 30 chancels out
44/30 Simplify
22/15=x
Do the parenthesis first, 3+7=10, then do the exponent and get 256,multiply 3 times 10 and get 30, do 256 divided by 2 and get 128, finally do 30-128 to get 98.
98 is your answer
can someone please help me out asap
Solve for r.
7(r + 1) = 20.3
Answer:
R=1.9
Step-by-step explanation:
you have to distributive property then subtract 7 which gives you 7r=13.3 the divide by 7 to get your R and finally you get R=1.9
Solve it and get brainliest
Answer: The scale factor is 4.
Write two numbers that multiply to the value on top and add to the value on bottom.
9
X
6
Answer:
3 & 3
Step-by-step explanation:
The numbers 3 & 3 multiply to give you 9 (on top)
3 x 3 = 9
The numbers 3 & 3 also add to give you 6 (on bottom)
3 + 3 = 6
Two angles are complementary. Angle 1 has a
measure of -5x + 3 and Angle 2 has a measure
of 10x + 12. What is the value of x?
Swim floats are on sale at Sam’s
Swim Shop. They are marked 30%
off of the original price of
$18.00. How much will the float
cost?
Answer:
$12.60
Step-by-step explanation:
30% of 18 = 5.4
18 - 5.4 = 12.6
Answer is $12.60
Answer:
$12.60
Step-by-step explanation:
30% is just 0.3 of a number, do 100%-30% which gives you 70% or 0.7, 0.7 of 18 would be 12.6 or $12.60
FREE BRAINLIEST!! ill also answer questions that you have posted if you answer correctly!!!! (30pts)
6 x 16 = 6 x ( _ + 6 )
= (6 x _ ) + ( 6 x _ )
= _ + _
= _ square units
(hope u understand) ( this "_" means it needs to be answered)
Answer:
10
10,6
60 + 36
96 square unnits
Step-by-step explanation:
Solve for y.
−4.2y+2.1>−2.52
Drag and drop a number or symbol into each box to correctly complete the solution.
Answer:
y <1.1
So y equals y < 1.1
Step-by-step explanation:
How do o solve this
Answer:
Step-by-step explanation:
Im not sure if u need to use shapes, but I will since it says in the example
4x - put it in a square box
2x - also in a square box
3 - in a circle box
1 - in a circle box
combine like terms
4x+2x=6x
3+1=4
6x+4
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE I REALLY NEED HELP I WILL MARK YOU BRAINLIST IF YOU ANSWER CORRECTLY PLEASE I AM BEGGING YOU
Jerome parked his car for 4 hours each day for two days at two different parking lots. The cost of
parking at each parking lot is shown below.
Day 1 - $5.00 for the first hour plus $1.50 for every additional hour
Day 2 - $2.50 for the first hour plus $1.50 for every additional hour
What is the total amount Jerome spent to park his car at the parking lots after the two days?
A.$10.50
B.$13.50
C.$16.50
D.$19.50
ANSWER AND HAPPY NEW YEAR!!
Answer:
C, or $16.50
Step-by-step explanation:
First of all, I added the prices of the first hours of both days. $5.00 + $2.50 = $7.50. Then, for every hour, the price for parking is $1.50. So, the easier way of doing this is adding the prices of both days together. $1.50 + $1.50 = $3.00. So, she parked for a three hours each in parking lots 1 and two. So, that's 3 times $3 which is $9. $9.00 + $7.50 = $16.50.
there is 0.97 grams of salt in a container and you use 0.56 grams how much is left in the container
Answer: 0.41
Step-by-step explanation:
0.91 - 0.56 = 0.41
The salt left in the container is 0.41 grams.
Given that, 0.97 grams of salt is in a container and you use 0.56 grams.
We need to find how much salt is left in the container.
How do subtract decimals?To subtract decimals, write the numbers in a column, and make sure that the decimal points are aligned. To keep the decimal point in your difference, place a decimal point directly below the decimal points in the subtrends. Align the decimal point in the sum with the decimal point in the subtrends, and add a zero if necessary.
Now, 0.97-0.56=0.41 grams
Hence, the salt left in the container is 0.41 grams.
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х
120
50
What is the value of x?
Answer:
60
Step-by-step explanation:
180-120= 60
a line is 180 degrees and x is congruent to the angle on the right of 120, meaning if you find the missing angle to that angle(the one next to 120) then you'd get the answer. Knowing the line it 180 and 120 is supplementary to x. x=60.
Need help! WILL MARKDOWN BRAINLIEST!
Answer:
Aren't you just suppose to multiple the 24 and 20 to get 480
Answer:
480
Step-by-step explanation:
it gives you the second step
24x20
can i get brainliest please???
it would be very much appreciated
have a nice day :)