Answer:
a) 0.0002 = 0.02% probability that all are silver.
b) 0.0033 = 0.33% probability that 5 are red and 2 are black
c) 0.0345 = 3.45% probability that 4 are red and the rest are silver
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the cars were selected is not important, so we use the combinations formula.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
(a) all are silver
Desired outcomes:
7 silver cars, from a set of 9. So
[tex]D = C_{9,7} = \frac{9!}{7!(9-7)!} = 36[/tex]
Total outcomes:
7 cars from a set of 8 + 9 + 5 = 22. So
[tex]T = C_{22,7} = \frac{22!}{7!(22-7)!} = 170544[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{36}{170544} = 0.0002[/tex]
0.0002 = 0.02% probability that all are silver.
(b) 5 are red and 2 are black
Desired outcomes:
5 red, from a set of 8
2 black, from a set of 5
[tex]D = C_{8,5}*C_{5,2} = \frac{8!}{5!(8-5)!}*\frac{5!}{2!(5-2)!} = 56*10 = 560[/tex]
Total outcomes:
7 cars from a set of 8 + 9 + 5 = 22. So
[tex]T = C_{22,7} = \frac{22!}{7!(22-7)!} = 170544[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{560}{170544} = 0.0033[/tex]
0.0033 = 0.33% probability that 5 are red and 2 are black
c) 4 are red and the rest are silver
Desired outcomes:
4 red, from a set of 8
3 silver, from a set of 9
[tex]D = C_{8,4}*C_{9,3} = \frac{8!}{4!(8-4)!}*\frac{9!}{3!(9-3)!} = 70*84 = 5880[/tex]
Total outcomes:
7 cars from a set of 8 + 9 + 5 = 22. So
[tex]T = C_{22,7} = \frac{22!}{7!(22-7)!} = 170544[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{5880}{170544} = 0.0345[/tex]
0.0345 = 3.45% probability that 4 are red and the rest are silver
Which value is an input of the function?
-14
-2
0
4
Answer:
4
Only answer on the x-axis
Answer:
It's 4.
Step-by-step explanation:
Did the test on edge2021
Solve the equation for all values of x in simplest form:
(x – 3)^2 = 11
Jack's Plumbing charges customers $100 per hour for repair jobs. A-1 Plumbing charges according to
the equation y = 75x + 50, where x = time in hours and y = cost in dollars.
Explain why A-1 Plumbing charges less than Jack's Plumbing for a 4-hour repair job.
Does A-1 Plumbing charge less than Jack's Plumbing for all repair jobs? Explain why or why not.
PLEASE HELPP
Answer:
37/3
Step-by-step explanation:
Ashley rode her bicycle 29.4 miles in 4 hours. She rode the same number of miles each hour. How many miles did ride her bike in 1 hour?
URGENT Erin is taking part in a play at the community theater. The cast and crew ordered T-shirts for all the volunteers. The cost of a T-shirt is $8, and the total delivery charge is $45 per order. If the center has no more than $325 to buy T-shirts, how many T-shirts can they buy?
Answer:
B is the correct answer. Less than or equal to 35 t shirts orders.
Step-by-step explanation:
5.2÷____= 0.052 please help meh :(
Answer:
The answer is 0.01 because 0.052=520 0.052 divided by 5.2=0.01
Step-by-step explanation:
Please answer 1 and 2 soon
Answer:
1.36+3+(32)(2)
=57
error is that 6 is the wrong answer
What absolute value represents a number greater than |0.37|
A: |-0.38|
B: |-0.35|
C: |-0.37|
D: |-0.39|
No wrong answers!
y = -2x + 2 y = 5x + 9
The volume of a cylinder with a radius of 3 inches and a height of 6 inches is 56.55 in? (Use V = Tt r2h.)
O True
O False
Please help
False
The volume of this cylinder is actually about 169.65
The volume of this cylinder is 1751 cubic units. What is the volume of a cone that has the same base area and the sam height
Answer:
[tex]V_2 = 583.67[/tex]
Step-by-step explanation:
Given
Represent the volume of the cylinder with V1 and the cone with V2.
So:
[tex]V_1 = 1751[/tex]
Required
Find V2
The volume of a cylinder is:
[tex]V_1 = \pi r^2h[/tex]
Because the cone and the cylinder have the same base area and height, the volume of the cone is:
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
Substitute [tex]V_1[/tex] for [tex]\pi r^2h[/tex].
[tex]V_2 = \frac{1}{3}\pi r^2h[/tex]
[tex]V_2 = \frac{1}{3}V_1[/tex]
Substitute 1751 for V1
[tex]V_2 = \frac{1}{3} * 1751[/tex]
[tex]V_2 = \frac{1* 1751}{3}[/tex]
[tex]V_2 = \frac{1751}{3}[/tex]
[tex]V_2 = 583.67[/tex]
The volume of the cone is 583.67 cubic units
I need help I’m not sure if this the right answer.!
Answer:
is A
Step-by-step explanation:
00000000000000000000000000
Answer:
Its 0 because 12+ (-12) = 0
what is 250,000 divided by 12
Answer:
20833.3
Step-by-step explanation:
Answer:
tthe answer is. 20833.3
A contractor charges $35 for the installation of gutters, plus $1.50 per foot. If one installation cost $162.50, how many feet of gutter were required?
Solve the system of equations by the substitution method.
y = 4x-9
y-x=-3
A.(2, -1)
B.(-4,-7)
C.(-1,2)
D.(-7,-4)
Answer:
A. (2, -1)
Step-by-step explanation:
(4x - 9) - x = -3
3x - 9 = - 3
3x = 6
x = 2
y = 4(2) - 9
y = 8 -9
y = - 1
(2, -1)
Check
-1 - 2 = -3
Factor 4x+16y using the gcf
The ratio of boys to girls is 5 to 7 there are 45 boys in the school play how many girls are in the play
Answer:
63 girls.
Step-by-step explanation:
45 boys divided by 5= 9
9x7= 63 girls
In a class of 30 students, 13 of them are boys.
What percentage of the class are girls?
Give your answer to 1 decimal place.
Answer:
56.7%
Step-by-step explanation:
30-13=17
(on a scientific calculator) 17/30=
0.56666667 x 100= 56.7 (round it up)
you can use this method everytime when trying to find a percantge.
ASAP — PLS HELP OUT
WILL MARK BRAINLIEST AND GIVE A LOT OF POINTS
y = - 2x + 1
2x - 2y = 4
Solve systems of equations by substitutions
Answer:
x= 1
y= -1
Step-by-step explanation:
y=-2x+1
2x-2y=4
substitute for y
2x-2(-2x+1)=4
reduce
2x+4x-2=4
6x=6
x=1
y= -2(1)+1
y= -1
Please help I need by Tomorrow!
Answer:
[tex]f(a) = 5a + 1[/tex]
[tex]f(a + h) = 5a + 5h +1[/tex]
[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5x + 1[/tex]
Solving (a): f(a)
Substitute a for x in [tex]f(x) = 5x + 1[/tex]
[tex]f(a) = 5a + 1[/tex]
Solving (b): f(a + h)
Substitute a + h for x in [tex]f(x) = 5x + 1[/tex]
[tex]f(a + h) = 5(a + h) +1[/tex]
Open bracket
[tex]f(a + h) = 5a + 5h +1[/tex]
Solving (c): [tex]\frac{f(a + h) - f(a)}{h}[/tex]
In (a):
[tex]f(a) = 5a + 1[/tex]
In (b):
[tex]f(a + h) = 5a + 5h +1[/tex]
So:
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - (5a+1)}{h}[/tex]
Open bracket
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a+5h+1 - 5a-1}{h}[/tex]
Collect Like Terms
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5a- 5a+5h+1 -1}{h}[/tex]
[tex]\frac{f(a + h) - f(a)}{h} =\frac{5h}{h}[/tex]
[tex]\frac{f(a + h) - f(a)}{h} =5[/tex]
HELPPSKEJSSJS THANKSSSS
Answer:
-7
Step-by-step explanation:
Elliot has 4 1/3 candy bars. He gives 2/3 of a candy bar to Sara and 1/3 of a candy bar to Bill. How much does Elliot have left? (Work it out)
Answer:
10/3 or 3 1/3
Step-by-step explanation:
4 1/3= 13/3 as a mixed fraction
he gives 2/3 to sara:
13/3 - 2/2= 11/3
then he gives 1/3 to bill:
11/3-1/3= 10/3
he has 10/3 which is equal to 3 1/3
A directed line segment starts at (1.0) and ends at (4.6), Point R partitions the segment
in the ratio of 2 to 1. What are the coordinates of point R?
(PLEASE HELP ASAP)
9514 1404 393
Answer:
(3.4)
Step-by-step explanation:
The length of the given segment is 4.6 -1.0 = 3.6. The first portion of the division will be 2/(2+1) = 2/3 of that length, or (2/3)(3.6) = 2.4.
Then the coordinates of point R are ...
(1.0) +(2.4) = (3.4)
__
Additional comment
We cannot tell if your coordinates are supposed to be Cartesian coordinates (1, 0) and (4, 6), or if they are points on a number line. As it happens, it makes no difference. The final answer is interpreted the same way the given coordinate points are interpreted: 3.4 on a number line or (3, 4) on a plane.
I need help with this is this circumference or areas will mark you brainly if right
20 points i will mark brainiest
Question 4
(08.03)
Solve the system of equations and choose the correct answer from the list of options.
x − y = 7
y = 3x + 12
Question 4 options:
1)
2 over 19 comma 2 over 33
2)
negative 2 over 19 comma negative 33 over 2
3)
negative 19 over 2 comma negative 33 over 2
4)
19 over 2 comma 33 over 2
Answer:
x = -9 1/2
y = -16 1/2
Step-by-step explanation:
x - y = 7
solve the above for 'y': -y = 7 - x
multiple each side by -1: y = x - 7
now both equations are in 'y=' form
x - 7 = 3x + 12
-2x - 7 = 12
-2x = 19
x = -19/2 or -9 1/2
-9.5 - y = 7
-y = 16.5
y = -16.5 or -16 1/2
Answer:
(-19/2, -33/2)
Step-by-step explanation:
Give an example of a radical with two answers. Then solve your example. with give brainliest ong
5. What is the second step in proving by mathematical induction that for every positive integer n, 11" - 6 is divisible by
5, is true?
Let n = k. Then assume that 11" - 6 is divisible by 5.
Let n = 1. Then assume that 111 - 6 is divisible by 5.
Let n = k. Then assume that 11k+1 – 6 is divisible by 5.
O Let n = (k + 1). Then assume that 11k - 6 is divisible by 5.
NEED THIS ASAP
NEED A EXAM DONE WILL PAY
Answer:
The correct answer is A:Let n = k. Then assume that 11" - 6 is divisible by 5. sorry if im wrong but if correct pls mark brainliest
Answer:
Step-by-step explanation:
Premise: If n is a positive integer, then 11ⁿ-6 is divisible by 5.
Let n=1.
11¹-6 = 5, so the premise is true for n=1.
Suppose the premise is true when n is an integer greater than 1,
then 11ⁿ-6 is divisible by 5.
11ⁿ⁺¹-6 = 11·11ⁿ - 6
= (10+1)11ⁿ - 6
= (10·11ⁿ) + (1·11ⁿ) - 6
= (10·11ⁿ) + (11ⁿ - 6)
Both terms are divisible by 5, so 11ⁿ⁺¹-6 is divisible by 5. Therefore, the premise holds true for n+1.
Proof by induction.
what is 13x25+3÷
15 please help im bad at math
Answer:
325.2
Step-by-step explanation:
what is the answer I need it urgently