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Gnom [1K]
3 years ago
11

A lottery has 60 numbers. To win the jackpot one needs to match all 7 numbers that are drawn by the machine. Is this a PERMUTATI

ON or a COMBINATION problem? What is the “chance” (or, more mathematically speaking, what is the probability) to hit the jackpot?
Mathematics
1 answer:
Vadim26 [7]3 years ago
4 0

Answer: Hence, our required probability is \dfrac{1}{386206920}

Step-by-step explanation:

Since we have given that

Numbers in a lottery = 60

Numbers to win the jackpot = 7 numbers

We need to find the probability to hit the jackpot:

So, our required probability is given by

P=\dfrac{^7C_7}{^{60}C_7}\\\\P=\dfrac{1}{386206920}

This is a combination problem as we need to select 7 numbers irrespective of any arrangements.

Hence, our required probability is [tex]\dfrac{1}{386206920}[/tex

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HELPPP PLEASEEE !!! John draws AABD, with CD as the perpendicular bisector of AB such that AACD and ABCD are congruent to each o
laila [671]

Answer:

The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects.

Step-by-step explanation:

It is the last option. The perpendicular bisector theorem states that if  a point lies on  the bisector of a segment it is equidistant from the endpoints.

Meaning

If a perpendicular bisector is a line of the side of the triangle , it bisects the sides forming two right angles .

The first three choices are incorrect because

1) the figure shows a triangle bisected into two triangles and option 1 tells about 1 isosceles triangle.

2) The base angles of any triangle can be different or same .

3) the three perpendicular bisectors meet at a point called the circumeter. We have 1 perpendicual bisector which is dividing the triangle into two equal triangles.

4 0
3 years ago
An electrical heating element produces heat depending on the resistance of the element and the current passed through it. The he
vredina [299]
The heat produced by current I is
H = I²R
where
R =  resistance.
According to the formula, heat produced is proportional to the square of the current.

When a current of I = 2 amps is applied, the heat produced is 
H = 10x³ + 80.
This heat includes heat due to a fixed current of 2 amps, and heat due to a variable current of x amps.

Because the heat produced is proportional to the square of the current, write the expressions as
H = (10x)*(x²) + 20*(2²)

The second term on the right is heat due to the fixed current of 2 amps, written as
20*(2²).
Therefore the fixed resistance is R = 20 ohms, and the square of the fixed current is 2².

The first term represents heat due to variable resistance, written as
(10x)*(x²).
Therefore the variable resistance is 10x, and the square of the variable current is x².

Answer:
The variable current is  10x.
6 0
3 years ago
Multiple Choice
inessss [21]
Answer:
B
Step-by-step explication:
(1/4)/(3/8)=(2/3)
5 0
3 years ago
Please explain how you got to the answer will give brainliest thanks!
a_sh-v [17]
To find the length of the light pole you'll have to use the sine ratio.

sin 30 = x/43
43 (sin 30) = x
21.5 = x

Hope this helps :)
6 0
3 years ago
Read 2 more answers
First, I add 1. Then, I multiply by 2. Next, I divide by 3. As a result, I get 4. What is my starting number?
Ira Lisetskai [31]

Answer:5

Step-by-step explanation:

reverse the steps

2(x+1)/3=4

2(x+1)/3×3=4×3

2(x+1)/2=12/2

x+1=6

x=6-1

x=5

6 0
3 years ago
Read 2 more answers
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