Using the combination formula, the probability that a person with one combination of five numbers will win is:
[tex]\frac{1}{1,221,759}[/tex]
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
For this problem, 5 numbers are taken from a set of 45, hence the number of combinations is:
[tex]C_{45,5} = \frac{45!}{5!40!} = 1,221,759[/tex]
Hence the probability is:
[tex]\frac{1}{1,221,759}[/tex]
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5. Ronnie needs to earn more than $460 every month so he can save enough to go on vacation at the end
of the year. He is paid $9.50 per hour and a monthly bonus of $60. Write an inequality that represents
this situation, where h represents the number of hours that Ronnie needs to work in a month to earn
more than $460 and meet his goal.
What would be the minimum number of hours, rounded to the nearest whole, that Ronnie would have
to work?
A. 40 hours
B. 41 hours
C. 42 hours
D. 43 hours
what are the values of AB and DE in parallelogram ABCD?
Answer:
AB equals 13 and DE equals 7.
Step-by-step explanation:
In a parallelogram, the opposite sides are equivalent, so AB will equal CD which equals 13. Based on this rule, you can infer that BC = AE + ED. Since BC equals 23 and AE equals 16, ED would be 7.
The solution is
The value of AB of the parallelogram is 13
The value of DE of the parallelogram is 7
What is a Parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be ABCD
The value of side CD = 13
The value of side BC = 23
The value of side AE = 16
AD = AE + ED
And , Opposite sides are parallel in a parallelogram
Now , the value of side AB = CD
So , the value of side AB = 13
And , The value of side BC = AD
So , the value of AD = 23
AD = AE + ED
Substituting the values in the equation , we get
23 = 16 + DE
Subtracting 16 on both sides of the equation , we get
DE = 23 - 16
The value of side DE = 7
Hence , the value of side AB = 13 and value of side DE = 7
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can someone help me with these 2 answersss
Answer:
1. -12
2. 8
Step-by-step explanation:
We are given two equations, both with meanings of variables, making my job a little bit easier wink wink.
Let's start with 5x + 3 when x = -3
Substitute :
5(-3) + 3
-15 + 3
-12
Onto the next :
2x - 4 if x = 6
2(6) - 4
12 - 4
8
What are the steps to finding the area of a parallelogram? What are the steps to finding the area of an isosceles trapezoid
Answer/Step-by-step explanation:
To find the area of the parallelogram, multiply the base of the perpendicular by its height. It should be noted that the base and the height of the parallelogram are perpendicular to each other, whereas the lateral side of the parallelogram is not perpendicular to the base.
The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2). Because the parallelogram is made from the same “stuff” as the trapezoid, that's the area of the trapezoid, too.
A rectangular prism has a base that measures 5 centimeters by 3 centimeters and a height of 2 centimeters. Cameron fills the prism with image centimeter cubes. Which of the following statements is TRUE?
A.
The rectangular prism will have a perimeter of 32 centimeters along the base.
B.
Cameron will use a total of 120 cubes to fill the rectangular prism.
C.
Cameron will use 60 cubes on the bottom layer.
D.
There will be 2 layers of cubes in the rectangular prism.
Exhibits
Answer:
56
Step-by-step explanation:
can someone pls help me i don’t get this
Answer:
60 degrees
Step-by-step explanation:
This triangle looks like an equilateral triangle and the angle-indicating curvy lines are acute, so it should be 60 degrees.
Hope that helps!
victor poured 5 1/2 cups of water in to a bucket how much more must he add to get 8 3/4
Which expression below has the same value as 9⁶ ?
9 • 6
96
9 • 9 • 9 • 9 • 9 • 9
6 • 6 • 6 • 6 • 6 • 6 • 6 • 6 • 6
Answer:
9 • 9 • 9 • 9 • 9 • 9
Step-by-step explanation:
Given data
Value= 9⁶
The equivalent to the above expression is the dot product of
9*9*9*9*9*9
Hence the correct option is the third option
Answer:
9 to the sixth power is just 9 multipled by itself over and over again... 9*9*9*9*9*9
Step-by-step explanation:
i need to know the volume and an explanation plz?!??
Answer:
V ≈ 471.2 in³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius of the base and h is the height )
Here diameter = 10, so r = 10 ÷ 2 = 5 and h = 6, then
V = π × 5² × 6 = π × 25 × 6 = 150π in³ ← exact value
V ≈ 471.2 in³ ( to 1 dec. place )
YOU HAVE 8 LITTERS OF JUICE FOR YOUR PARTY. EACH GLASS HOLDS 1/5 LITTER OF JUICE.
HOW MANY GLASSES CAN YOU FILL WITH THE JUICE?
SOLVE AND EXPLAIN
Answer:
40
Step-by-step explanation:
1/5 as a decimal is 0.2
8/0.2 = 40
Hope this helps!!
Answer:
A
Step-by-step explanation:
Help me put this in order please help thanks
Tia earns $19.25 per hour she worked 36 hours.what is her straight time pay
Answer:
q122a
Step-by-step explanation:
3(x+4/9)-1/2(x+ 1/3)=5/6
PLEASE HELP
Answer:
x=-2/15
Step-by-step explanation:
A store sells a box of breakfast cereal for $3. Write an equation to relate the number of boxes b to total sales T.
Answer:
b = T / $3
T = $3b
Step-by-step explanation:
Given that:
Cost per box of cereal = $3
Total amount from sale of cereal = T
Number of boxes sold = b
Number of boxes sold = (Total amount from sale of cereal / cost per box)
Number of boxes (b) = T / $3
T = $3b
Round 1.4876 to the nearest TENTHS
Answer:
You should get 1.5
Step-by-step explanation:
please help me if you can pleasee
Answer:
248/6
Step-by-step explanation:
as if wala po talaga akong alam dyan
What number needs to be subtracted from both sides of the equation 40 = 25 + x in order to isolate the variable and solve for x?
Answer:
x = 15
Step-by-step explanation:
As given, the equation 40 = 25 + x
As on the R.H.S of the equation, there is one constant and a variable x
As to isolate the variable we have to subtract the same constant so that that constant gives 0.
As we have the constant value 25
So, subtract 25 from both side of the equation, we get
40 - 25 = 25 + x - 25
⇒15 = x
∴ we get
x = 15
whoever answers this question first gets brainly
Answer: B
Step-by-step explanation:
9.62112750.....
area = πr²
3.5 ÷ 2 = 1.75
1.75² × π = 9.6211250....
= 9.6 ft²
Solve for x. (Enter your answers as a comma-separated list.)
Answer:
x=1
Step-by-step explanation:
The value of x is 1 for the given determinant.
The determinant is defined as a scalar value that is associated with the square matrix. If X is a matrix, then the determinant of a matrix is represented by |X| or det (X).
Given a determinant value equal to zero,
To calculate the value of x,
Firstly, calculate the determinant as follows and equate it to zero:
[tex]1(3 \times-2-(-4\times3))-x(1 \times-2-3 \times0)+2(1\times-4-0\times3)=0\\\\[/tex]
[tex]1(-6+12)-x(-2)+2(-4)=0\\\\[/tex]
[tex]6+2x-8=0\\[/tex]
Solve like terms together and try to separate variable on LHS, so that it becomes easy to calculate the value of it.
Thus, the value of x is 1.
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Alicia quiere comprar 57 vasos. En la tienda ve que los vasos se venden, en cajas
de 3 o de 5 piezas. Alicia compra en total 13 cajas, de manera que pueda tener
exactamente 57 vasos.
¿Cuántas cajas de tres vasos y cuántas cajas de cinco vasos ha comprado
Alicia?
Answer:
compró 4 cajas q contenían 3 vasos
y 9 cajas q contenían 5 vasos
EJEMPLO: 4x3=12 + 9x5=45
12+45=57
esa es la respuesta y te puse el ejemplo para q le entiendas más
5 cups equals how many pints and cups
Answer:
5 cups is 2.5 pts
Step-by-step explanation:
cups pts
5.00 2.5
5.01 2.505
5.02 2.51
5.03 2.515
Your email inbox is 88% full. If you have 3168 emails in your inbox, then how many emails can your inbox hold?
Answer:
432 more emails
Step-by-step explanation:
I) Find decimal of remaining inbox:
88% = 0.88
1 - 0.88 = 0.12
II) Find TOTAL capacity of inbox emails:
3168 / 0.88 = 3600
III) Find remaining capacity of emails:
3600 x 0.12 = 432 more emails
An item with an original price of p dollars is on sale at a 35% discount. Write an
expression that is equivalent to the price of the item with the discount.
[tex]32 \frac{1}{2} \times \sqrt[8]{16} \div (0.008) \frac{1}{3} [/tex]
I need help plz, thank you!!!
Templates
+
7.49 x 108
How
many
times should
the decimal pt?
X
I move
Answer:
maalesef bulamadım ben
12 cm
8 cm
5 cm
5 cm
17 cm
26. The area of the composite figure above is_cm-square.
1 point
Your answer
i need help! plz. i’m not to good at ratios and don’t mind the one i clicked i just clicked on a random one
What's the answer pleaseewwww
Answer:
(B)
Step-by-step explanation:
You are welcome and can you please give me brainliest
Which expression is equivalent to − 3 4 ( 8 y − 12 ) + 1 5 ( 15 y − 30 ) ? A. –3y – 15 B. –3y + 3 C. –2y – 12 D. y – 3
Given:
The expression is
[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]
To find:
The expression that is equivalent to the given expression.
Solution:
We have,
[tex]-\dfrac{3}{4}(8y-12)+\dfrac{1}{5}(15y-30)[/tex]
Using distributive property, we get
[tex]=-\dfrac{3}{4}(8y)-\dfrac{3}{4}(-12)+\dfrac{1}{5}(15y)+\dfrac{1}{5}(-30)[/tex]
[tex]=-6y+9+3y-6[/tex]
On combining like terms, we get
[tex]=(-6y+3y)+(9-6)[/tex]
[tex]=-3y+3[/tex]
Therefore, the correct option is B.