Answer:
?__________*_*__________?
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.
the points (3,48) and 5,768) lie on the graph of an exponential function. write the equation in exponential form. Must explain or I'll report! answer asap!
Answer:
y = 3/4*4ˣStep-by-step explanation:
The function is:
y = abˣSubstitute the values from the given points and solve for b:
48 = ab³768 = ab⁵Divide the second equation by the first one:
768/48 = ab⁵/ab³b² = 16b = 4Find a using the first equation:
48 = a*4³a = 48/64a = 3/4The function is:
y = 3/4*4ˣ102 = 1.2 x w
what is w?
Answer:
122.4
Step-by-step explanation:
Just Divide.
Answer:
85
Step-by-step explanation:
1x2 x 85 = 102
You travel 36 miles north and then 15 miles east. How far are you from your starting point?
Answer:
21 is the correct answer because
Help with this pleaseeeeee!!!!!!!
Answer:
60
Step-by-step explanation:
V=Base area*height
V=((5*8)/2)*3
V=(40/2)*3
V=20*3
V=60
What is the slope of the line below asap plzzzzzzzzzzzzzzzzzzzzz quick
Answer:
w of king akinf arro
Step-by-step explanation:
A certain population has 1,000 people in it. Which of the following numbers would be an appropriate number for a
random sample?
O 10
200
O 1,000
0900
Answer:
10
Step-by-step explanation:
5x+4y=16 -2x-4y=-4
Show your step by step process.
Solve the system of linear equations.
Answer:
x=1 and y= 5[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
To solve this, lets take the first equation and find the x value.
Because it is ordered in standard form, we need to convert to slope-intercept form, and isolate the y.
5x+4y=16
-5x -5x
4y=-5x+16
÷4 ÷4 ÷4
y=[tex]\frac{-5}{4}[/tex]+4
or
y=-1[tex]\frac{1}{4}[/tex]+4
or
y= 5[tex]\frac{1}{4}[/tex]
Now that we have the y value, we can use this to find the x value by inserting it into either equation, since they both have y values in them. Going with the first one again, lets try it:
5x+4([tex]\frac{-5}{4}[/tex]+4)=16
5x-5+16=16
5x+11=16
-11 -11
5x=5
÷5 ÷5
x=1 and y= 5[tex]\frac{1}{4}[/tex]
In which quadrant, or on which axis, does the terminal side of angle 540° lie?
Your answer:
A. Q II
B. QIII
C. Quadrantal angle / positive x-axis
D. Quadrantal angle / negative x-axis
Explain how to solve the equation 21 = m +14. What is the value of m?
Enter your explanation and answer in the space provided.
Answer:
m = 7
Step-by-step explanation:
21 = m + 14
21 - 14 = m
m = 7
-7m²-10m+17
common factor
Answer:
Greatest common factor of 17
So, the prime factors of 45 are 3, 3, and 5. The Greatest Common Factor is the greatest number that is common (that is, in both lists). It is 17. Since 17 is a factor of itself and of 51 -- which is 3 x 17 -- then the greatest possible common factor is 17!
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
- (m - 1 )( 7m + 17 )
what is the degree of the following polynomial 2x^3
Answer:
3
Step-by-step explanation:
Whatever the highest exponent is determines the degree.
Do you links of a rectangle is for X +7 and the width is three if the area of the rectangle is 129 square units what is the value of X
Answer:
x = 36
Step-by-step explanation:
Length of a rectangle, x+7
Width = 3
Area of the rectangle, A = 129 units²
The area of a rectangle is given by :
A = lb
So,
[tex](x+7)\times 3=129\\\\(x+7)=43\\\\x=43-7\\\\x=36[/tex]
So, the value of x is equal to 36.
7. What is the slope of the line that passes through the points (14, -18) and (5, -12)?
Answer:
slope =[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope, or [tex]m[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. So, substitute the x and y values of the points (14, -18) and (5, -12) into the formula and solve:
[tex]m = \frac{(-12)-(-18)}{(5)-(14)}\\m = \frac{-12+18}{5-14}\\m = \frac{6}{-9} \\m = -\frac{2}{3}[/tex]
Thus, the slope is [tex]-\frac{2}{3}[/tex].
simplify this equation: 2^-4 (2√3)^2
Answer:
download photo math you can take pictures of math problems and will solve them.
Challenge A gold mine has two elevators, one for equipment and another for the miners. The
equipment elevator descends 6 feet per second. The elevator for the miners descends 13 feet per
second. One day, the equipment elevator begins to descend. After 32 seconds, the elevator for the
miners begins to descend. What is the position of each elevator relative to the surface after
another 12 seconds? At that time, which elevator is deeper?
The nosition of thn
in
Answer:
.
Step-by-step explanation:
A jacket is reduced by 12% to £66 in a sale.
Find the original price.
Answer:
£75
Step-by-step explanation:
100-12=88
88÷88=1%
66÷88=0.75
1%=0.75
times by 100
100%=£75
Please help me ASAP I need this done please! (Giving brainliest)
Answer:
Step-by-step explanation:
a 2x-2+6x+10=120
b x=14
c l=47 w=13
24 kilograms turned into pounds
Answer:
52.91 pounds
Step-by-step explanation:
Quadrilateral MNPQ is shown.
Trapezoid M N P Q is divided into 4 triangles by N Q and M P, which intersect at point R inside the trapezoid. N P is parallel to M Q and M N is congruent to Q P. Angle N M P is 30 degrees and angle P M Q is 32 degrees. Segment Q R equals 4.1.
If MP = 5.9, what is RN?
(Round your answer to the nearest tenth. Write NA if there is not enough information given.)
Answer:4.1
Step-by-step explanation:
In the Quadrilateral MNPQ, if MP = 5.9, then RN = 1.8.
What is a trapezoid?An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.
Given:
Quadrilateral MNPQ is shown.
Trapezoid MNPQ is divided into 4 triangles by NQ and MP.
MQ is parallel to NP.
That means, MQ and NP always at the equal distance.
MN ≅ QP
So,
MP = QN
Now,
QN = QR + RN and QR = 4.1:
MP = QN
5.9 = 4.1 + RN
Then RN = 5.9 - 4.1 = 1.8
Therefore, the value of RN is 1.8.
To learn more about the trapezoid;
https://brainly.com/question/8643562
#SPJ2
A phone usually sells for $245. It is now on sale for 10% off the original price. What is the new sale price for the phone?
Answer:
$220.50
Step-by-step explanation:
245.00×10%=24.50
245.00-24.50=220.50
Answer:
$24.50
Step-by-step explanation:
Evaluate the algebraic expression x^2 - 20 for x = 7 and for x = 9
Answer:
29
61
Step-by-step explanation:
x^2 - 20
x = 7 and 9
Evaluate
___________
We know the values of x, let's substitute them with the x in the problem :
(7)^2 - 20
49 - 20
29
(9)^2 - 20
81 - 20
61
How can you find the length of an arc
pls answer this one
By prime factorisation method factorize 400 and find the sum of prime numbers involved.
Step-by-step explanation:
PLS MARK ME AS BRAIN LIST ANSWER
What is the solution to this inequality?
-9x – 15 < 3
O > -2
O I < 2
Or<-2
O > 2
Answer:
x>-2
Step-by-step explanation:
-9x-15<3
•Move the constant to the right
9x<3+15
•calculate
-9x<18
•Divide both sides
HELP I WILL GIVE LOTS OF POINTS FOR IT
Answer:
(1,3)
Step-by-step explanation:
because that is where they intersect
Answer:
y=4x-1y=−x+4
Step-by-step explanation:
Solve x2 + 10x = 24 by completing the square. What is the solution set of the equation? Show your work.
Answer:
32.6193819
Step-by-step explanation:
calulater never lies XD
Answer:
The answer should be: x=2,-12
which on your answer should backwards: {-12,2}
Step-by-step explanation:
If f(1) = 9 and f(n) = 4f(n − 1) then find the value of f(4).
Answer:
576
Step-by-step explanation:
f(2) = 4f(1) = 4*9 = 36
f(3) = 4f(2) = 4 * 36 = 144
f(3) = 4f(3) = 4 * 144 = 576
Fireworks are set off from a hill 80 feet above the Mississippi. The outer
shells will fall after exploding at its maximum height. The firework's height
about the surface of the river is given by the function h(t) = -16t^2 + 64t +
80. What is the height of the rocket after 1.5 seconds?
Answer:
752 ft
Step-by-step explanation:
Assuming t represents time, and the time we are trying to find is how high the rockets go after 1.5 seconds, we must take the equation and put 1.5 in wherever t occurs, this looks like:
-16(1.5)²+64(1.5)+80
solving this, we get:
-24²+96+80
576+96+80
752
Expand & simplify
(2x + 6)2
Answer: 4x+12
Step-by-step explanation:
The distributive property states that a(b+c) = ab+ac.
Thus, simply do 2*2x+2*6 = 4x+12
Hope it helps <3 :D