Answer:
1560780 selections
Step-by-step explanation:
Given
Cars = 29
Selection = 7
Required
Possible number of selections
The interpretation of the question is that, in how many ways can 7 cars be selected from 29.
This is done using combination formula as follows:.
[tex]^nC_r = \frac{n}{(n-r)!r!}[/tex]
Where
[tex]n = 29[/tex]
[tex]r = 7[/tex]
So, the formula becomes:
[tex]^{29}C_7 = \frac{29!}{(29-7)!7!}[/tex]
[tex]^{29}C_7 = \frac{29!}{22!7!}[/tex]
[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23*22!}{22!7!}[/tex]
[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7!}[/tex]
[tex]^{29}C_7 = \frac{29*28*27*26*25*24*23}{7*6*5*4*3*2*1}[/tex]
[tex]^{29}C_7 = \frac{7866331200}{5040}[/tex]
[tex]^{29}C_7 = 1560780[/tex]
Hence, the number of ways is 1560780
PLZ HURRY IT'S URGENT!!!
Petrucio has $50 to spend on entertainment. Music downloads are $2.00 each and movie downloads are $5.00 each. What possible combinations can Petrucio buy? SELECT ALL THAT APPLY
options:
8 songs and 6 movies
20 songs and 2 movies
4 songs and 10 movies
7 songs and 8 movies
Answer:
*20 Songs and 2 Movies
*8 Songs and 6 movies
Step-by-step explanation:
which is irrational?
A. 5/2
B. 5.22
C. 2/5
D. √5/2
Answer:
D
Step-by-step explanation:
Plz mark as brainliest!!!
Just the image below.
Answer:
Step-by-step explanation:
P(x) + Q(x) = 4x^2 + 6x - 9 -7x^2 - 12x +8
x^2 terms: 4x^2 - 7x^2 = - 3x^2
x terms : +6x - 12x = - 6x
linear term: - 9 + 8 = - 1
Answer: -3x^2 - 6x - 1
Solve 3x2 + 4x = 2. (2 points)
Answer:
The answer is (-2±√10)/3
Step-by-step explanation:
so if it is 3x^2+4x=2 then
set one side to zero
subtract 2 from both sides
3x^2+4x-2=0
this is not factorable by normal means so use quadratic formula which is if you have the equation in ax^2+bx+c=0 form you can solve for x if you put it into this equation quadratic formula so if you were to input it into this equation you would get
a=3
b=4
c=-2
the solution is: (-2±√10)/3
You are given the explicit formula below. Identify if will produce an arithmetic or geometric sequence. Also identify the common difference or common ratio
f(n) = 25(4)^n-1
1. Geometric, common ratio of 1/4
2. Geometric, common ratio of 4
3. Arithmetic, common ratio of 25
4. Arithmetic, common ratio of 4
Answer:
2. Geometric, common ratio of 4Step-by-step explanation:
Given is the exponential function which is a geometric sequence
It has common ratio of 4
Correct answer option:
2. Geometric, common ratio of 4What are the different ways to write multiplication?
Answer:
Distribution, equal groups, skip counting, repeated addition, and array.
Step-by-step explanation:
A school eams S70 from selling 50 tickets for the school play. Each ticket costs the same amount
How much does the school eam for 1 ticket?
Enter your answer in the box below.
Answer:
$1.40
Step-by-step explanation:
I used a unit rate to understand it.
$70/50
70÷ 50= 1.4
50÷50=1
1.4/1 = 1.4 OR $1.40, adding a zero doesn't change it amount, it just places a filler, so the final answer is, one dollar and forty cents.
A random sample is made of 256 middle managers concerning their annual incomes. The sample mean is computed to be $35,420. If the population standard deviation is $2,050. What is the standard error of the mean?
a. $128.125
b. $138.36
c. $2.050
d. $8.01
Answer: a. $128.125
Step-by-step explanation:
The standard error of the mean is given by :
[tex]SE=\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\sigma[/tex] = population standard deviation , n= sample size.
Given: [tex]\sigma=\$2,050[/tex]
n= 256
Then, the standard error of the mean:-
[tex]SE=\dfrac{2050}{\sqrt{256}}\\\\=\dfrac{2050}{16}=\$128.125[/tex]
Hence, option a. is correct.
Am I correct on this ?
The answer is -7!!!! can you help me too???? im stuck on one problum!!!
:D
One day Clare runs 4 miles. The next day she
runs 50% of that. How far does she run in total?
Answer:
She runs 6 miles in total.
If f(x) = 4x-3, which of the following is the inverse of f(x)?
7x+3
O A. F'(X) =
4
4x-3
O B. F'(x) = 447
7x-3
O c. F'(x) =
4
O D. F'(x) = 4***
SUBMIT
Math
Answer:
[tex]\huge\boxed{f^{-1}(x)=\dfrac{x+3}{4}=\dfrac{1}{4}x+\dfrac{3}{4}}[/tex]
Step-by-step explanation:
[tex]f(x)=4x-3\to y=4x-3\\\\\text{exchange}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=4y-3\\\\\text{solve for}\ y\\\\4y-3=x\qquad|\text{add 3 to both sides}\\\\4y-3+3=x+3\\\\4y=x+3\qquad|\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x+3}{4}\\\\y=\dfrac{x+3}{4}\to y=\dfrac{1}{4}x+\dfrac{3}{4}[/tex]
A U.S. dime has a thickness of 7.05 millimeters. Gary has a stack of dimes 42.3 millimeters tall. How many dimes does he have?
Name 3 the rays in the figure
Answer:
Where is the figure?
Step-by-step explanation:
A ray looks like this though:
Solve the following equation for I. A = 2 πr + πrl. Explain each step.
BRAINLY IF CORRECT
Answer:
Step-by-step explanation:
A = 2π +πrl
A - 2π = πrI subtract by 2π
(A- 2π)/(πr) = I divide by πr to isolate I
Three times the sum of three consecutive integers is 72. What are the integers? a. 4, 5, 6 c. 9, 10, 11 b. 7, 8, 9 d. 6, 7, 8
Answer:
B
Step-by-step explanation:
7+ 8+ 9= 24
24 x 3= 72
Answer:
The three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9
Step-by-step explanation:
Let x, y, and z be the three consecutive integers
The sum of x, y, and z will be: x+y+z
The three times the sum of three consecutive integers is 72.
so the equation becomes:
3(x+y+z)=72
Now, putting x = 7, y=8 and z=9 in the L.H.S equation to check
3(x+y+z)
⇒ 3(7+8+9)
⇒ 3(24)
⇒ 72
Therefore, it is clear that the three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9
A tailor charge $560 for a suit of clothes and gives a discount of 12% for cash. Calculate the discounted price for a suit of clothes.
Answer:
$492.80
Step-by-step explanation:
The discount= 12%*$560/100%
= $67.20
The discounted= Selling price- discount
= $560 - $67.20
= $492.80
help me please I don't understand
Step-by-step explanation:
Option 3 must be correct.
-9 is an example of what
Answer:
A negative number, a negative integer, a negative multiple of 3, etc.
Step-by-step explanation:
Answer:
integer
???????
Step-by-step explanation:
I'm not sure
The first term of a sequence is 9 and the common difference is 5. Which of the following is the fifth term of the sequence?
Answer:
29
Step-by-step explanation:
9+5=14+5=19+5=24+5=29
For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 44 in.3 and is constructed using the least amount of metal. (Round your answers to two decimal places.)
Answer:
[tex]1.91\ \text{in}[/tex]
[tex]3.84\ \text{in}[/tex]
Step-by-step explanation:
V = Volume of cylinder = [tex]44\ \text{in}^3[/tex]
h = Height of cylinder
r = Radius of cylinder
Volume of cylinder is given by
[tex]V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{44}{\pi r^2}[/tex]
Total surface area of a cylinder is given by
[tex]S=2\pi r^2+2\pi rh\\\Rightarrow S=2\pi r^2+2\pi r\times\dfrac{44}{\pi r^2}\\\Rightarrow S=2\pi r^2+\dfrac{88}{r}[/tex]
Differentiating with respect to radius
[tex]\dfrac{dS}{dr}=4\pi r-\dfrac{88}{r^2}[/tex]
Equating with zero
[tex]4\pi r-\dfrac{88}{r^2}=0\\\Rightarrow 4\pi r=\dfrac{88}{r^2}\\\Rightarrow r^3=\dfrac{88}{4\pi}\\\Rightarrow r=(\dfrac{22}{\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.91\ \text{in}[/tex]
Double derivative of S
[tex]\dfrac{d^2S}{dr^2}=4\pi+176>0[/tex]
So [tex]r[/tex] is minimum at [tex]\dfrac{dS}{dr}=0[/tex]
[tex]h=\dfrac{44}{\pi r^2}=\dfrac{44}{\pi 1.91^2}\\\Rightarrow h=3.84\ \text{in}[/tex]
So the radius and height of the cylinder is [tex]1.91\ \text{in}[/tex] and [tex]3.84\ \text{in}[/tex] respectively such that the least amount of metal is used.
The CEO of a large company claims that 85% of customers are repeat customers. They define a repeat customer as someone who makes more than one purchase per month. A random sample of 200 customers shows that 162 are repeat customers. Do these data provide convincing evidence at the 5% significance level that less than 85% of customers of this company are repeat customers?
Answer:
1. customers
2. all customers
3. 170
4. 30
5. 10
Step-by-step explanation:
edgen 2020 :)
Write each set of numbers in set-builder and interval notation
X>50
Answer:
[tex]\{x\ E\ Z\ |\ x > 50\}[/tex] ---- Set Builder
(50, ∞) ---- Interval Notation
Step-by-step explanation:
Given
x > 50
Required
Write as a
- Set builder
- Interval notation
As Set Builder:
x > 50 means that x is an integer and x is greater than 50.
In set builder notation, integers are represented with z.
So, the above can be represented as:
[tex]\{x\ E\ Z\ |\ x > 50\}[/tex]
This translates to:
x is a member of the set of integers such that x is greater than 50
As Interval Notation:
In interval notation, we make use of brackets to represent the intervals.
In this case > is represented by (a,b)
Where a and b are the intervals of the notation
Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.
Hence: x > 50 in interval notation is (50, ∞)
help please- asap :}
Answer:
The digits in bold are those that were given, and other two we had to fill. The table below contains the answer.
Step-by-step explanation:
We need to complete the table.
Positive Integer: value having + sign
Negative Integer : Value having - sign
The digits in bold are those that were given, and other two we had to fill
Positive Integer Negative Integer Value
15 -15 15
101 -101 101
4 -4 4
82 -82 82
1121 -1121 1121
33 -33 33
10 -10 10
999 -999 999
47 -47 47
1 -1 1
A nursery owner buys 9 panes of glass to fix some damage to her greenhouse. The 9 panes cost
$25.65. Unfortunately, she breaks 2 more panes while repairing the damage. What is the cost of
another 2 panes of glass?
Another 2 panes of glass cost $____
Step-by-step explanation:
so first you would ave to find the unit rate,so 25.65/9=$2.85 then you would multiply 2.85*2 for the other 2 that she broke. You would get $5.70 add that to the 25.65 you would get $31.35. the two panes of glass=$5.70 and altoger with the two pans of glass you would get $31.35
PLEASEEEE HELPPP MEEE :(
Answer:
Question 5 is B
Because after I simplified I got B and its the only one that makes sense.
ANSWER ASAP PLSSSS PLS PLS
Answer:
x = 14 ; 58° ; 32°
Step-by-step explanation:
What's the actual question??? ... To find "x" or to find the measure of each angle?
(4x + 2)° + (2x + 4)° = 90°
6x + 6 = 90
6x = 84
x = 14
(4(14)+ 2)° = 58°
(2(14) + 4)° = 32°
3x^2-x=4
please help
Answer:
x=1 4/3
Step-by-step explanation:
what is the decimal multiplier to decrease by 8.4
Answer:0.916
The decimal multiplier to decrease by 8.4% is 0.916.
Step-by-step explanation:
hellpppppp please I will give brainliest
Answer:
I think the answer is y=2x-2
Hope it is correct! The x is positive because the angle is pointing to the right, and the -2 came from the position of the line.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Find each value
1. ∛x³
2. 6³
3. 10³
Answer:
1.no answer x
Step-by-step explanation:
2. 216
3. 1000