Answer:
Number of different selection = 50C6
Number of different selection = 50 x 49 x 48 x 47 x 46 x 45
Number of different selection = 15 890 700
Step-by-step explanation:
The number of the different ways of selections are possible will be 28,989,675.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55numbers (one through 55).
The order in which the selections are made does not matter.
Then the number of the different ways of selections are possible will be
⇒ ⁵⁵C₆
⇒ (55!) / [(55 - 6!) × 6!]
⇒ (55 × 54 × 53 × 52 × 51 × 50 × 49!) / [49! × 6 × 5 × 4 × 3 × 2 × 1]
⇒ 11 × 3 × 53 × 13 × 51 × 25
⇒ 28,989,675
Thus, the number of the different ways of selections are possible will be 28,989,675.
More about the permutation and the combination link is given below.
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In triangle ABC, AB measures 25 cm and AC measures 35 cm. The inequality < s < represents the possible third side length of the triangle, s, in centimeters. The inequality < p < represents the possible values for the perimeter, p, of the triangle, in centimeters.
Answer:
The inequality 10 < s < 60 represents the possible third side length of the triangle, s in centimeters.
The inequality 70 < p < 120 represents the possible values for the perimeter p, of the triangle in centimeters.
Step-by-step explanation:
Firsts one The lower number has to be the difference between the bigger number and smaller number. In this case 35 - 25 = 10 and the s < 60 has to be the sum of both numbers.
Second one. I'm assuming it's just the sum of the two numbers to the first answer, and the second number is just the second number from the previous one, but multiplied by 2. Sorry that I couldn't go into too much detail about this one
The inequality that represents the possible third side length
[tex]10cm<s<60cm[/tex]
The inequality that represents the possible values for the perimeter
[tex]70cm<P<120cm[/tex]
Given :
In triangle ABC, AB measures 25 cm and AC measures 35 cm.
For any triangle , we know that the sum of measures of two sides is greater than the third side
Let 's' be the third side length
[tex]25+35>s\\60>s\\\\Also , s+25>35\\s>35-25\\s>10\\Inequality\; is \;\\10<s<60[/tex]
Now we find the perimeter when s=10
Perimeter = sum of all the sides
[tex]s=10\\P=25+35+10=70\\s=60\\P=25+35+60=120[/tex]
[tex]70<P<120[/tex]
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Hey guys i need help on this problem it from cpm idk if u guys know it but
Can u guys show it to me plz ;-; 2x-3=-x+3
Answer:
x = 2
Step-by-step explanation:
2x - 3 = -x + 3
+x +x
3x - 3 = 3
+3 +3
3x = 6
/3 /3
x = 2
Hope this helped! :)
15 points!!
b. Determine whether hypotenuse-leg (HL) is a valid means for establishing triangle
congruence for right triangles. If it is a valid criterion, explain why.
Answer:
If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
Step-by-step explanation:
PLS SOMEONE HELP QUICK
Answer:
light blue
Step-by-step explanation:
Multiple Step Equations
Solve the multiple choice equation
What is the solution to this equation?
5(x – 4) = 3x + 4
A x = -8
(B) x = -2
C x=3
(D) x = 12
Math
Answer:
D
Step-by-step explanation:
5(x-4) = 3x + 4
5x-20 = 3x + 4
5x-3x-20= 4
2x=4 +20
2x=24
x=12
check answer by inserting 12 for x into original equation.
5(12-4) = 3(12) +4
5(8) = 36 +4
40 = 40
what expression is equivalent to (7² )⁵ ÷ 7¯⁶
Answer: 7^16
Step-by-step explanation:
please help no work needs to be shown
?????????????????????????????????????????????
Answer:
A
Step-by-step explanation:
Here's a graph too. Make sure you pay attention to the lines, if they are dotted or not.
I hope this helps!!
11) What is the y-intercept of the function?
O (0,-5)
O (5,0)
O (-5,0)
O (0,5)
The table shows the amount spent on tomatoes at three different stands at a farmer's market. Which stand sold their tomatoes at the least expensive price per pound, and what is that price? Round to the nearest cent as necessary.
Answer:
i have the same question someone pls answer
Step-by-step explanation:
Stand C sold their tomatoes at the least expensive price per pound that price is 2.70 per pound.
What is Ratio?
The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Stand Weight(lb) Cost
A 3/4 2.00
B 1 1/4 3.45
C 5 1/2 14.85
We have to determine the price of sold tomatoes at the least expensive price per pound.
the price of sold tomatoes at stand A:
⇒ 2/(3/4) = 2/0.75 = 2.67 per pound.
the price of sold tomatoes at stand B:
⇒ 3.45/(5/4) = 3.45/1.25 = 2.76 per pound.
the price of sold tomatoes at stand C:
⇒ 14.85/(11/2) = 14.85/5.5= 2.70 per pound.
Here is the least expensive price per pound at stand C.
Therefore, stand C sold their tomatoes at the least expensive price per pound that price is 2.70 per pound.
Learn more about the Ratio here:
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A sink contains 16 liters of water before the drain is opened. It drains at a rate of 2 liters per minute.
Use the segment tool to plot a graph representing the liters of water in the sink over time. Plot only one segment which represents the situation from when the sink starts draining until the sink is empty.
Answer:
8
Step-by-step explanation:
16 liters divided by 2 liters a minute you get 8
also i would do a graph but there is no way of putting it up with my answer i hope this helps a little if it doesnt im sorry
simplify [tex]\sqrt{-121}[/tex]
Answer:
You cannot simplify because you cannot square root a negative.
Nathan spins 2 different spinners at the same time. There are a total of 10 possible outcomes. Which pair of spinners did Nathan spin? A B 1 2. AB E с 5 3 E с 1 2 D 4 D А B B 1 2 care 1 2 E с D с D 3
Answer:
Since the spinners have been spun simultaneously, every side on each of the spinner carries equal probability of landing. In order for there to be only 10 possible outcomes, no more no less, the spinners cannot be identical. One of the spinner in two sided while the other spinner must then be a five sided spinner. Choosing this particular pair of spinners gives Nathan 10 possibilities of combinations.
Hope that answers the question, have a great day!
Step-by-step explanation:
Does the graph represent a function? Why or why not?
Answer:
Yes
Step-by-step explanation:
The line can go through the graph and have the y- axis lines hit it once
Answer:
it does not.
Step-by-step explanation:
for a graph to represent a function, it needs to pass the vertical line test (just run a finger or pencil along the graph vertically and if you never have two points touch the vertical line, it passes). there are multiple points at x=0
Calculate a number whose square root is 2.3
Answer: The root of 2.3 is 1.5165750888103
Step-by-step explanation:
How do you think the area of the polygon compare to the area of the circle
Answer:
It is split open, therefore creating a new polygon
Step-by-step explanation:
Help me with this please
Answer:
B?
Step-by-step explanation:
Please help. It’s due in a couple minutes
Answer:
They failed to create a strong national government.
Step-by-step explanation:
They gave the states too much power that the government should have had making the national government weak.
What is the solution to the system of equations graphed below?
(2, 4)
(4,2)
(0.6)
(6.0)
Answer:
(4,2)
Step-by-step explanation:
You can see the point where lines crossed.
Hope this helps you.
Use a property of exponents to simplify. 3Use as the base.
Answer:
3^4 because when u divide exponents w same base just subtract the exponents
Step-by-step explanation:
Quinton typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if he took the shortcut shown below? (50PTS)
Answer:
B- 20 yards
Step-by-step explanation:
First you have to find the hypotenuse by finding the square root of 28 squares plus 45 squared which equals 53 yards. Next you have to add the two legs of the right triangle so we can subtract the shortcut length from that. So you have to do 28 plus 45 which equals 73 yards. 73 minus 53 is 20. So the answer is 20 yards.
Answer:
20
you have to find the hypotenuse by finding the square root of 28 squares plus 45 squared which equals 53 yards. you have to add the two legs of the right triangle so we can subtract the shortcut length from that. So you have to do 28 plus 45 which equals 73 yards. 73 minus 53 is 20. So the answer is 20 yards.
If the two signs in a division problem are one positive and one negative, will the quotient be positive or negative?
Answer:
negative
Step-by-step explanation:
Answer:
SAME
Step-by-step explanation:
The product of two positive integers or two negative integers is a positive integer. That means if you multiply two OF the same sign numbers, the product is always positive. SAME
An airplane on autopilot took 5 hour to travel 3,475 kilometers what was the airplane speed in kilometers per hour
Answer:
695 km/h
Step-by-step explanation:
3,475 / 5 = 695
Pls help last one
Which one is it
idk how to do math
that's why we have the beautiful internet
Can someone help me with this please asap
Answer:
The answer is 4
Step-by-step explanation:
because all of the angles need to add up to 180 so 17 x 4 is 68 and 68 - 8 = 60 and 60 x 3 = 180 so the answer would be 4
Answer:
4
Step-by-step explanation:
Since all the sides are congruent, so is the angles and in a triangle all angles add up to 180. To find the angle of one of them divide 180 by 3 which is 60.
Then put the equation equal to 60
17x - 8 = 60
17x = 68
x = 4
Someone plz help this is due tmr and I’m gonna get a f
When the quotient property of exponents is applied, which operation is used to simplify the exponents? (1 point)
A. Adding
B. Subtracting
C. Multiplying
D. Dividing
The distance to the nearest exit door is less than 150 feet.
Use d to represent the distance (in feet) to the nearest exit door.
Answer:
d<150
Step-by-step explanation:
Can someone help me pleaseeee
Amdjjsisjshajsvdvd
Answer:
I BELIEVE THE ANSWER WOULD BE C
Step-by-step explanation: