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.
1/3+1/4
IN FRACTION FORM
Answer:
7/12
Step-by-step explanation:
Plz mark brainliest :D
Answer:
7/12
Step-by-step explanation:
1
3
+
1
4
=
1
3
+
1
4
=
4
12
+
3
12
=
4+3
12
What is the value of x?
Answer:
16
Step-by-step explanation:
By the property of intersecting chords inside the circle, we have:
[tex](5x - 7) \degree = \frac{1}{2} (119 \degree + 27 \degree) \\ \\ (5x - 7) \degree = \frac{1}{2} \times 146 \degree\\ \\ (5x - 7) \degree = 73\degree \\ \\ 5x - 7 = 73 \\ \\ 5x = 73 + 7 \\ \\ 5x = 80 \\ \\ x = \frac{80}{5} \\ \\ x = 16[/tex]
Marcus paid 45 cents for 2 pencils. At that rate, what would 8 pencils cost? Ill give BRAINLIEST
Answer:
$1.8
Step-by-step explanation:
divide .45/2 and get .225
multiply this by 8 and get 1.8
it would cost 1.8n
Answer:
$1.80
Step-by-step explanation:
45/2 = 22.5 cents per pencil
0.225 × 8 = $1.8
I'm sorry please help.
Solve the following system of equations.
x-3y=17
x+7y=-23
x=
y=
Answer:
-4y=40
y=-10
x-3(-10)=17
x-30=17
x=17+30
x=47
Step-by-step explanation:
Answer:
x= 5
y= -4
Step-by-step explanation:
x= 17+3y so you substitute what you got for x in so
17 +3y +7y = -23
10y=-40
y=-4 now you put -4 in for y in the first equation
x = 17 + (3 times -4)
x = 17 - 12
x=5
what are the x and y intercepts for this equation y=−1/4x+2?
(_,_)
Answer:
(8, 0) is the x-intercept
(0, 2) is the y-intercept
Step-by-step explanation:
The y-intercept = 2 since the equation is in slope-intercept form.
The x-intercept occurs when y = 0
So, 0 = -1/4x + 2
0 = -x + 8
x = 8
(8, 0) is the x-intercept
(0, 2) is the y-intercept
What is the solution to the system of equations?
3x − 6y = −12
−x + 2y = 8
Help ASAP thanks........
Can someone help ASAP pls
Answer:
Step-by-step explanation:
first the answer is most definenetly 130 and 160 and i dont think its 30 so 50.
What is the M<1
21
42
71
82
Answer:
I think the answer is C. 71
Answer:
c
Step-by-step explanation:
edge 2025 trust rn
Please help asap please i give brainliest
Answer:
D.
Step-by-step explanation:
If wrong so sorry I am a bit rusty
Find the the value of x
I’ll mark the brainiest
Answer:
6
Step-by-step explanation:
What is 3 to the third power (4 + 4)
Answer:
216
Step-by-step explanation:
Answer:
(4+4)= 8 essa é resposta para mim mas não sê si esta certa
please help me find the solution
Q3.
Bill's weight decreases from 64.8 kg to 59.3 kg.
Calculate the percentage decrease in Bill's weight.
Give your answer correct to 3 significant figures.
Answer:
8.48%
Step-by-step explanation:
Bill's weight decreases from 64.8 kg to 59.3 kg.
We need to find the percentage decrease in Bill's weight. It can be calculated as follows :
[tex]\%=\dfrac{64.8 -59.3 }{64.8 }\times 100\\\\=8.48\%[/tex]
So, the required decrease in percentage is 8.48%.
What is the length of a diagonal of a rectangular picture whose sides are 12" x 17" round to the nearest 10th of an inch
Plsssssss answer its due in 10 minutes , thxxx ! :c
Answer:
3x, -4, 2x, 6
Step-by-step explanation:
The blue pen is 12 cm long the red pen is 72 mm long what is the difference between the 2 pens?
Answer:
the difference between the 2 pens is 4.8 cm
Charles purchases a car for $50,187 at 1.9% add-on rate for 6 years.
Answer:
good for him
Step-by-step explanation:
given cos A = 0.36, find angle A in degrees. round your answer to the nearest hundredth.
Answer:
68.9°
Step-by-step explanation:
[tex]cos^{-1}[/tex](0.36) ≈ 68.90
Find the zeros of f (x)
5.x2 + 35.
The zeros are
and
Answer:
5(x2+7)
Step-by-step explanation:
solve the system by graphing
y = x -1 y = -2x -4
Answer:
d = 26.196374
For:
(X1, Y1) = (-7, -4)
(X2, Y2) = (17, 6.5)
PLZ HELP I GIVE U BRAINLIEST
Answer:
Step-by-step explanation:
231/32
7 7/32
Answer:
7 7/32
Step-by-step explanation:
someone help on this please
Answer:
C, D, F
Step-by-step explanation:
Simply put your equations into a free graphing calculator such as
DESMOS
and it's quite simple!
hope this helps!!
10 POINTS HELP ASAP!!!
Answer:
I think it is -7
Step-by-step explanation:
I WILL GIVE 200 POINT TO WHOEVER GET RIGHT The price of Philip's favorite candy has been reduced by 15¢ per piece. Philip buys 14 pieces and spends $3.22. What is the regular price of each piece of candy? Enter your answer in the box.
Answer:
0.23 $
Step-by-step explanation:
Answer:
6.52
Step-by-step explanation:
Solve this equation: 2x = 5
Answer:
2.5
Step-by-step explanation:
2x = 5
x = 5/2 = 2.5
I hope im right!!
WILL GIVE BRAINLIEST!
Consider the following.
a number increased by the total of the number and five
Answer:
n + (n+5)
Step-by-step explanation:
A number (N) increased (+) by the total of the number = (N+) and five (5)
What is the distance between the points (4, -8) and (10,8)?
Answer:
you can not find the distance between them
Step-by-step explanation:
there are no like numbers, if the problem was 4, -8 and 4, 8 i could solve it, so sorry
Answer: Believe you can and you're halfway there
Have a great day!
I don’t have the answer but I’m just spreading positivity.
No, really, I can't figure it out.
mutiply -5 by 7
-35+9 ×[tex]\frac{5}{5}[/tex]
cancel the common factor of 5
-35+9×1
multiply 9 by 1
-35 + 9
add -35 and 9
- 26
simplify and find each side
angles are 45 45 90!
will mark brainiest!
Answer:
X = 4.47 Y = 8.94
Step-by-step explanation:
2[tex]\sqrt{5}[/tex]= 2.23606798
2.23606798 x 2 = 4.47213596
-------
4.47213596
4.47213596^2 + 4.47213596^2 = 8.94427192^2
8.94427192^2 = 80
Square root of 80 is 8.94