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.
Plsssssss answer its due in 10 minutes , thxxx ! :c
Answer:
3x, -4, 2x, 6
Step-by-step explanation:
What is the solution to the system of equations?
3x − 6y = −12
−x + 2y = 8
PLZ HELP I GIVE U BRAINLIEST
Answer:
Step-by-step explanation:
231/32
7 7/32
Answer:
7 7/32
Step-by-step explanation:
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
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
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]
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
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 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.
Help ASAP thanks........
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)
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:
Please help asap please i give brainliest
Answer:
D.
Step-by-step explanation:
If wrong so sorry I am a bit rusty
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
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
Solve this equation: 2x = 5
Answer:
2.5
Step-by-step explanation:
2x = 5
x = 5/2 = 2.5
I hope im right!!
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
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:
Charles purchases a car for $50,187 at 1.9% add-on rate for 6 years.
Answer:
good for him
Step-by-step explanation:
Find the zeros of f (x)
5.x2 + 35.
The zeros are
and
Answer:
5(x2+7)
Step-by-step explanation:
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.
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
Find the the value of x
I’ll mark the brainiest
Answer:
6
Step-by-step explanation:
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 M<1
21
42
71
82
Answer:
I think the answer is C. 71
Answer:
c
Step-by-step explanation:
edge 2025 trust rn
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
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)