A bag contains 6 red balls and 5 black balls . Two balls are picked , one after the other . Find the probability that :
i. Both are black
ii. The first is black
iii. Both are of the same colour
Given that :
a. it is without replacement
b. it is with replacement
Answer:
There are:
6 red balls - R5 black balls - BTotal number = 11 ballsA. Without replacementi. Two blacks
P(BB) = 5/11*4/10 = 2/11ii. The first is black
P(B) = 5/11or, alternatively
P(BR or BB) = 5/11*6/10 + 2/11 = 3/11 + 2/11 = 5/11iii. Both are of same colour
P(BB or RR) = 2/11 + 6/11*5/10 = 2/11 + 3/11 = 5/11B. With replacementi. Two blacks
P(BB) = 5/11*5/11 = 25/121ii. The first is black
P(B) = 5/11or alternatively
P(BR or BB) = 5/11*6/11 + 25/121 = 30/121 + 25/121 = 55/121 = 5/11iii. Both are of same colour
P(BB or RR) = 5/11*5/11 + 6/11*6/11 = 25/121 + 36/121 = 61/121I don't understand help plz
determine the number of terms in the sequence: 1/4, -1/-2, 1, 16384
(full answer )
Answer:245
Step-by-step explanation:
Multiply (−4) × (−2) × (−5).
Answer: -40 or negative forty
Step-by-step explanation:
what is x?
0=3x² - 4x + 12
Answer:
x=0.66+1.88i
x=0.66-1.88i
Step-by-step explanation:
Given
3[tex]x^{2}[/tex]-4x+12=0
using the Quadratic Formula where
a = 3, b = -4, and c = 12
[tex]x=-b[/tex]±[tex]\sqrt{b^{2}-4ac } /2a\\[/tex]
x=-(-4)±[tex]\sqrt{(-4)^{2}-4(3)(12) } /2(3)[/tex]
x=4±[tex]\sqrt{16-144} /6[/tex]
x=-4±[tex]\sqrt{128} /6[/tex]
[tex]b^{2} -4ac<0\\[/tex]
x=-4±[tex]8\sqrt{2} i[/tex]/6
[tex]x=\frac{2}{3}[/tex]± [tex]\frac{4\sqrt{2}i }{3}[/tex]
Which becomes,
x=0.66+1.88i
x=0.66-1.88i
The value of x will be x=0.66+1.88i
x=0.66-1.88i
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9X4 – 2x2 – 3x + 4?
1
2
1
O ,
4 2 4
3. +1, +3, +2, +4
0 +2, ++1, +3, 4, +3, +
9
*9
4
1 2 1 4 2
Ogg. 3.9. 3, 1, 3, 2, 4
1 1 3 3 9 9
O 4.2.2.1, 2, 7, 3, 2,9
Answer:A
Step-by-step explanation:
I JUST TOOK THE TEST ON EDGE
The possible root of the function are: ±1, ±1/3, ±1/9 , ±2, ±2/3, ±2/9, ± 4, ±4/3, ±4/9.
What is Rational Root Theorem?In algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the fraction's denominator and the constant term (the one without a variable) must be divisible by the fraction's numerator.
We have the function f(x) = 9[tex]x^4[/tex] - 2x² - 3x + 4.
For Polynomial Function
f(x) = p[tex]x^n[/tex] + ...... + q
So, The possible rational roots are calculated using
Roots = ± factors of p / factors of q
= ± factors of 4 / factors of 9
= ± 1, 2, 4 / 1, 3, 9
So, the possible rational roots are ±1, ±1/3, ±1/9 , ±2, ±2/3, ±2/9, ± 4, ±4/3, ±4/9.
Learn more about Rational Root Theorem here:
brainly.com/question/10937559
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For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)
Answer:
2
Step-by-step explanation:
2x^2 + 8x + 8
factor the 2 out : 2(x^2 + 4x + 4)
2(x + 2)^2
x = -2
negative 5 plus positive 5
Answer:
0
Step-by-step explanation:
Linear equation
Gina is 3 years older than Susan. The sum of their ages is 12 years more than Susan’s age. How old is Susan ?
Susan = x
Gina = 3x
Sum of their ages = 12
Susan's age = ?
We can see that,
[tex]2x=10
x = \frac{10}{2}x=
2
10
x = 5x=5[/tex]
Susan is 3 years old.
Seema is travelling to California. She travels a distance of 7,800 km by plane to Lima and then another 6,700 km to Los Angeles. Both planes fly at an average speed of 900 kmh-1.
What is her total flight time in hours and minutes, to the nearest minute?
16 hours 6 minutes
See the image above
What's the area of this shape?
Answer:
[tex] 365.97\: cm^2[/tex]
Step-by-step explanation:
Area of the shape = Area of triangle with base 22 cm and height 16 cm + Area of semicircle with radius (22/2 = 11) 11 cm
[tex] = \frac{1}{2}bh + \frac{1}{2} \pi {r}^{2} \\ \\ = \frac{1}{2} \times 22 \times 16 + \frac{1}{2} \times \times 3.14 {(11)}^{2} \\ \\ = 11 \times 16 + 3.14 \times 60.5 \\ \\ = 176 + 189.97 \\ \\ = 365.97 \: {cm}^{2} [/tex]
Step-by-step explanation:
The radius would be 11 which is half of the width and the height is 16.
A= πr(r+√h²+r²)
A= π•11•(11+√16²+11²)
A≈ 1051.11836
Dominic is deciding if he should become a member of his local ice rink. The $144 annual membership fee at the ice rink includes admission and parking, members pay $4.00 per visit to rent ice skates. Non-members pay $11 admissions, $5.00 for parking and they also pay $4.00 per visit to rent ice skates. 1. When is it better to be a member? After 4 visits how much would each pay? Member: $_________ Non-Member: $__________ After 6 visits how much would each pay? Member: $_________ Non-Member: $__________
Answer:
1. members = $ 160 , non members = $ 80
2. members = $ 168 , non members = $ 120
Step-by-step explanation:
For members
Annual membership = $ 144
rent per visit charges = $ 4
For Non members
parking charges = $ 5
admission charges = $ 11
rent per visit = $ 4
(1) for 4 visits
Members pay = $ 144 + 4 x $ 4 = $ 160
Non members pay = 4 x $ 11 + 4 x $ 5 + 4 x $ 4 = $ 80
So, non member ship is better.
(2) for 6 visits
Members pay = $ 144 + 6 x $ 4 = $ 168
Non members pay = 6 x $ 11 + 6 x $ 5 + 6 x $ 4 = $ 120
So, non member ship is better.
Please help 50 points
Simplify the expression
Answer:
c
Step-by-step explanation:
4. Find H. C.F. of 60,75 & 90
Answer:
H.C.F = 15
Step-by-step explanation:
60 = 2 × 2 × 3 × 5
75 = 3 × 5 × 5
90 = 2 × 3 × 3 × 5
HCF = 3 × 5 = 15
Factor the polynomial 3x^2+6x
Answer:
1. [tex]3x(x+2)[/tex]
Step-by-step explanation:
1: Find the GCF (Greatest Common Factor) of the polynomial
Answer: 3x
Then use it to factor out 3x^2 + 6x
3x(x + 2)
John can jog twice as fast as he can walk. He was able to jog the first 5 miles to his grandmothers house, but the he tired and walked the remaining 2 miles.If the total trip took 0.9 hours, then what was his average jogging speed?
What is the answer for earning in dollars
A. 200
B.150
C.110
D.120
Answer:
D. 120
Step-by-step explanation:
Answer:
120
5*24=120
5*20=100
5*16=80
Write and Graph Inequalities
1. When cooking a turkey, the recommended internal temperature of the turkey is 165 °F. A lower internal temperature will undercook the turkey. Write an inequality that is true only for temperatures that which the turkey will be undercooked.
I want the answer in words pls and thank u
Answer:
Turkeys with an internal temperature of less than 165° F are undercooked.
A
B
Peanut
Butter
Peanut Butter
150g
400g
$2.14
$6.50
Which of the jars shown above is the BETTER buy?
Answer:
I guess 400g good for your diet. and health
10^ log 2 to the base 10
Answer:
the answer is 2
Step-by-step explanation:
It is like you are taking the antilogarithm of log 2
Answer:
2 is the answer of your question
hope it is helpful to you
Convert to polar form
Please click on the above picture and view the full answer.
Step-by-step explanation:
Hope it helps you.^_^
x+y-6=0, x-y=0. What is the solution set of the system?
A. (3,3)
B. (-3,3)
C. (3, -3)
Answer:
A. (3,3)
Step-by-step explanation:
find the unit rate of computers per day using the graph
Answer:
You need to look at the graph and find an ordered pair. Once you find an ordered pair divide the x value by the y value to get the unit rate.
Step-by-step explanation:
20. A smaller rectangle is centered within a larger rectangle such that the shaded area is created as shown below. The dimensions of both rectangles are shown in terms of x.
i don´t know how to solve this
Step-by-step explanation:
please check the attachment
The length of rectangle is 3 cm longer than its breadth. If the perimeter of the rectangle is 54 cm, find its length,in cm
Answer:
Length=15cm
Hope this answer is right!!
Step-by-step explanation:
Length be 3 cm longer than the breadth.
So, x=y+3
Perimeter = 2(x+y)54
So, x+y=27 =>x=15
x-y=3 =>x=12
So, length is 15 cm
Carol wants to tile her utility room. Each tile is 1 square foot. She draws the shape of her room on a grid. Each square unit on the grid represents 1 square foot. How many tiles will she need?
Answer:
1
Step-by-step explanation:
that's a very vague question
Subtract (7x-3) from (5-3x)
Express in the form n : 1.
Give n as a fully simplified fraction.
20 : 15
Answer:
this is the answer
Step-by-step explanation:
20:15=20/15=4/3=n
Hence, 1:n=3:4
Simply and find the value of the following
Answer:
this is the answer of your question
Step-by-step explanation:
[tex]i) \: {(729)}^{ \frac{1}{6} } [/tex]
[tex] = {(3 \times 3 \times 3 \times 3 \times 3 \times 3)}^{ \frac{1}{6} } [/tex]
[tex] = \sqrt[6]{(3 \times 3 \times 3 \times 3 \times 3 \times 3)}[/tex]
= 3 (Ans)
[tex]ii) \: {(64)}^{ \frac{2}{3} } [/tex]
[tex] = \sqrt[3]{ {64}^{2} } [/tex]
[tex] = \sqrt[3]{(64 \times 64)} [/tex]
[tex] = \sqrt[3]{ {2}^{12} } [/tex]
[tex] = {(2)}^{ \frac{12}{3} } [/tex]
[tex] = {2}^{4} [/tex]
= 16 (Ans)
[tex]iii) \: {(243)}^{ \frac{6}{5} } [/tex]
[tex] = {( \sqrt[5]{ {243} })}^{6} [/tex]
[tex] = {3}^{6} [/tex]
= 729 (Ans)
(4 × 5) × 7 = 7 × _________ (4 × 7) 20 (7 - 5) (5 + 7)
Answer:
I think the answer is 5 hope it helps