Answer:
The total number of ways the person holding ticket 47 wins one of the prizes = 941,094
Step-by-step explanation:
Given - One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti).
To find - How many ways are there to award the prizes if it satisfies the given conditions. The person holding ticket 47 wins one of the prizes.
Proof -
The order of selection is important because 1st selection is grand prize , 2nd selection is second prize and so on . So , we use permutation for this question
Now,
As The person holding ticket 47 wins one of the prizes and other 3 prizes are also given to the remaining 99 persons who got chosen
So,
The number of ways = 1* ⁹⁹P₃
= [tex]\frac{99!}{(99-3)!}[/tex]
= [tex]\frac{99!}{96!}[/tex]
= [tex]\frac{99*98*97*96!}{96}[/tex]
= 99*98*97
= 941,094
∴ we get
Total number of ways the person holding ticket 47 wins one of the prizes = 941,094
8.
Find the equation to the line passing through the point of intersection of the lines
3x + 14 =
2y and x + y = 6, and is also perpendicular to the line 5x =
6y + 1.
9514 1404 393
Answer:
30x +25y = 148
Step-by-step explanation:
We can use substitution to find the point of intersection of ...
3x +14 = 2yx + y = 6Using the second equation, we can write an expression for y:
y = 6 -x
Substituting that into the first equation gives ...
3x +14 = 2(6 -x)
3x +14 = 12 -2x . . . . . eliminate parentheses
5x = -2 . . . . . . . . . . . add 2x-14
x = -0.4 . . . . . . . . . divide by 5
y = 6 -(-0.4) = 6.4
__
Now, we want an equation for a line through the point (-0.4, 6.4) that is perpendicular to 5x = 6y+1
The perpendicular line will have the coefficients swapped with one of them negated. The constant will accommodate the given point.
6x = -5y + c
6(-0.4) +5(6.4) = c = 29.6
The perpendicular line can be written ...
6x = -5y +29.6
In standard form, the equation is ...
30x +25y = 148
Explain one way to find the area of the polygon at the right. Then find the area in square units.
Answer:
27 Units^2
Step-by-step explanation:
Split it up into sections, attached below are 3 different sections.
Section 1:
5*3=15
Section 2:
2*4=8
Section 3:
4*2/2 = 4
Add all the sections together:
15+8+4 = 27 Units^2
Please Mark Brainliest if this helped
Please Mark Brainliest if this helped
Part B
Calculate BD. Show your work. What does this length represent with regard to ∆ABC?
Answer:
4, It is the height of triangle ABC
Step-by-step explanation:
The easy way is to just count. But you can also use the Pythagorean theorem because BDC is a right triangle. First, use the distance formula to find BC. [tex]\sqrt{(5-2)^{2} +(-2-2)^2[/tex]=5
5^2=BD^2+DC^2
25=BD^2+9
BD=4
[tex]BD = \sqrt{89}[/tex],BD is the median of ∆ABC. A median is a line segment that joins a vertex of a triangle to the midpoint of the opposite side. In ∆ABC, BD divides the triangle into two smaller triangles that are congruent.
The length of BD can be calculated using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In the triangle shown, the hypotenuse is BD, and the other two sides are AB and BC. So, we can use the Pythagorean Theorem to write the equation:
BD² = AB² + BC²
We are given that AB = 5 and BC = 8. So, we can plug these values into the equation to get:
BD² = 5² + 8² = 25 + 64 = 89
Taking the square root of both sides, we get:
[tex]BD = \sqrt{89}[/tex]
To know more about triangles:
https://brainly.com/question/2773823
#SPJ2
r = 7 cm can someone help me find the answer?
Answer:
Answer to what exactly?
help please and thank you
Omg someone anybody help!! Please
Answer:
y= 2x
Step-by-step explanation:
y= mx+b
The slope (m) is 2/1 or just 2.
The y-intercept (b) is 0.
y= 2x
Simplify 8 . 3 . X
A.13x
B.24x
C.22x
D.48x
Answer:
D. 48x
Step-by-step explanation:
sana nakatulong
An online retailer collects 7% sales tax. If the sub total of the purchase is $76,00, then how much is collected for sales tax
Answer:
$5.32
Step-by-step explanation:
76 x .07 = 5.32
help me please I will give brainliest!
Answer:
A. y = 3x + 3
Step-by-step explanation:
The slope is 3 and the y-intercept is 3. Therefore, answer A is correct
you measured the weight of every apple in a box and found the mean weight to be 13.2 ounces and the standard deviation to be 2.7 ounces. you then discover that your scale was weighing every apple as being 3 ounces heavier than their actual weight. what are the actual mean and standard deviation?
A person invested $220 in an account growing at a rate allowing the money to double every 13 years how much money would be in the account after 27 years?
Answer:
the answer should be 456.92
Answer:
928
Step-by-step explanation:
The volume of the polyhedron is ______ cm3.
Answer:
133.07 cm^3
Step-by-step explanation:
the polyhedron is a cone
volume of a cone =n r^2(h/3)
n = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
Radius = 5/2 = 2.5 in
h = height
(2.5^2 x 8) x 1/3 x 22/7 = 52.39 in^3
we need to convert inches to cm
1 in = 2.54 cm
2.54 x 52.39 = 133.07 cm^3
Pls help extra points
A wind machine used to generate electricity has blades that are 10m in length. The propeller is rotating at 5 revolutions per second. Find the linear speed of the tips of the
blades. Express your answer in terms of n and using units meters per second.
A. 120n m/sec
B. 60n m/sec
C. 100n m/sec
D. 30n m/sec
Answer:
[tex]
\mathbb{ ANSWER }[/tex]
C. 100n m/sec
You can draw a quadrilateral with two sets of parallel lines and no right angles.
True
False
Answer:
The correct answer is true.
Step-by-step explanation:
You can draw a quadrilateral with two sets of parallel lines and no right angles, since a parallelogram lines up exact with the requirements.
Hope this helps! Have a great day :)
find the mean variance and standard deviation for the number of heads when a coin is tossed 30 times
Answer:
mean=10*1/2=5
variance=10*1/2*1/2=2.5
standard deviation=sqrt2.5=1.58
Step-by-step explanation: Hope this helps Have a good day :)
sing the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
Answer:
x = 1 ± i √ 19
Step-by-step explanation:
x = 1 ± i √ 19
Please help ! Please help!
6x + 2 = 62
6x + 2 - 2 = 62 - 2
6x = 60
6x / 6 = 60 / 6
x = 10
20. An expression is shown.
2(x+3) - (x-1)
Create an equivalent expression without parentheses.
8
157+7
Answer:
What you have is correct:
8/15x+7
Step-by-step explanation:
6/5x+6-2/3x+1
18/15x-10/15x+6=
8/15x+7
Please help i need to get these right or i fail WILL GIVE BRAINLEST!!!
Answer:
1. C 4x4x4x4x4
2. Power is 5 and the Square yards are 25
3. 2^3 ^2
Step-by-step explanation:
A hairstylist schedules hour to trim a customer's hair and hour to style the customer's hair. The hairstylist plans to
work 3 hours each day for 5 days each week. How many appointments can the hairstylist schedule each week if each
customer must be trimmed and styled?
appointments
Answer:
5 customers
Step-by-step explanation:
If she takes 1 hour to trim and 1 hour to style, she will take 2 hours per customer.
She plans to work 3 hours a day. So, she can only fit 1 customer in per day because if she scheduled 2 she would need at least 4 hours.
If she can only have 1 customer per day over a 5 day week she will only be able to schedule 5 customers per week.
please help!!!!!!!!!!!!!!!!!!!
Answer:
I don't know definitely, but in guessing A) 2X+3Y=-25 x-y=5
Step-by-step explanation:
2 times more than X, means that whatever x is, its multiplied by 2, giving 2X, also making it the larger number, even if y is a smaller number.
For example: x=5 2x5= 10, and y=3 3x3= 9
Im sorry if its wrong
Find the angle between u=〈−2,5〉 and v=〈5,2〉 to the nearest tenth of a degree.
Answer:
angle is 1°
Step-by-step explanation:
[tex] \cos(u \: v \: ) = \frac{u \times v}{ |u| \times |v| } [/tex]
How many favorable outcomes will there be for spinning the same color twice?
Answer:
3 favorable outcomes
There are three paths that end up with spinning the same color twice
Answer:
should be 3
Step-by-step explanation:
A school raised $4,589 in a magazine sale. Mr. Simmon's class raised 1 of the school's total. 100 How much money, in dollars, did Mr. Simmon's class raise? Enter the number in the box.
Answer:
Money raised by Mr. Simmons class = $ 45.89
3.2 x 1.4 =
help help help pls
Answer:
4.48
Step-by-step explanation:
Answer:
4.48
Step-by-step explanation:
PLEASE HELP ME WITH THIS !
Answer:
uh idek
Step-by-step explanation:
Answer:
1) 20.2
2) 13
3) 10.3
4) 103
Step-by-step explanation:
If you need help solving these on your own next time, here's the formula
a^2+b^2= c^2, or A to the power of two, plus B to the power of two, = C to the power of 2.
To solve them square both A and B, (ex. 9.2 to the power of two, plus 18 to the power of two, which equals 408.64.)
Then, to solve for x, (or c, doesn't matter the variable,) you square root the number.
(ex. √408.64, which is 20.2)
Calcula el área y perímetro de un rectángulo que tiene como base (x+y) y altura (x-1).
Answer:
A = x^2 - x + xy - y
P = 4x + 2y - 2
Step-by-step explanation:
[tex]a = (x + y)(x - 1) \\ a = {x}^{2} - x + xy - y \\ \\ p = 2((x + y) + (x - 1)) \\ p = 2(2x + y + - 1) \\ p = 4x + 2y - 2[/tex]
I hope that is useful for you :)
What number gives a result of −1 when 9 is subtracted from the quotient of the number and 4?
Step-by-step explanation:
x/4 - 9 = -1
×/4 = -1 + 9
x/4 = 8
4 (x/4) = 4 (8)
x = 32
Answer:
32
Step-by-step explanation:
(Quotient of a and b = a/b)
Let the number = x
Quotient of the number and four: x/4
9 subtracted from the quotient of the number and four: x/4 - 9
-1 is the result of 9 subtracted from the quotient of the number and four: x/4 - 9 = -1
x/4 -9 = -1
x/4 = 8
x = 32
Find the perimeter of the figure below, in meters.
9.9 m
9.9 m
12 m
12 m
12 m
12 m
12 m
12 m
