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Dafna1 [17]
3 years ago
6

To win a state "A" lottery, one must correctly select 5 numbers from a collection of 50 numbers (1 through 50). The order in whi

ch the selection is made does not matter. The neighboring state "B" has a lottery where one must correctly select 6 numbers from a collection of 60. Which lottery would you rather play? Support your choice with mathematical calculations.
Mathematics
1 answer:
love history [14]3 years ago
3 0
The number of possibilities for the first one is 50 choose 5, and the number of possibilities for the second one is 60 choose 6. Since 50 choose 5 is 2118760 and 60 choose 6 is 50063860. There are less possible outcomes for state "A" and therefore you have a higher chance of winning.
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a ladder 13m long is placed on the ground in such a way that it touches the top of a vertical wall 12m high. find the distance o
Sergio039 [100]

Answer:

by applying Pythagoras theorem;

the ladder(13m) acts as hypotenuse

the wall (12m) acts as height

the distance between the the two is the base

therefore

a² + b² = c²

b²= c²- a²

b²= 169 - 144

b² = 25

√b² = √25

b= 5m

the distance is 5m

8 0
3 years ago
Please Help me this is the first part of 4 in this question. I will be posting the other 3 shortly. I need the answer. This is v
Ket [755]

Answer:

y = 1/6x + 5

Step-by-step explanation:

-x + 6y = 30

6y = x + 30

y = 1/6x + 5

6 0
2 years ago
For the geometric sequence of a1=2 and r=2 find a5
Brrunno [24]

Answer:

a_5 = 32

Step-by-step explanation:

The nth term for the geometric sequence is given by:

a_n = a_1 \cdot r^{n-1}

where,

a_1 is the first term

r is the common ratio

n is the number of terms.

As per the statement:

For the geometric sequence of a_1=2 and r=2

We have to find a_5

for n = 5;

a_5=a_1 \cdot r^{n-1}

Substitute the given values we have;

a_5 = 2 \cdot 2^4 = 2 \cdot 16

⇒a_5 = 32

Therefore, the value of a_5 is, 32

3 0
3 years ago
Which lines are the directrices of the ellipse?
algol [13]

The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.

<h3>How to calculate the ellipse? </h3>

From the information given, the equation of parabola will be:

= (x - 3)²/5² + (y - 2)²/3² = 1

Hence, h = 3, k = 2, a = 5, b = 3

e = ✓1 - ✓3²/5²

E = 4/5 = 0.8

The directix will be:

x = 3 + 5/0.8

x = 9.25

x = 3 - 5/0.8

x = -3.25

Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.

Learn more about ellipse on:

brainly.com/question/16904744

4 0
2 years ago
What is the range of function g? <br>​
vlada-n [284]

Using it's concept, the range of function g is given by:

B. \{y|y \in \mathbb{R}, y \neq -4, -3\}

<h3>What is the range of a function?</h3>

The range of a function is the set that contains all possible output values for the function. In a graph, it is the values of y.

In this graph, y assumes all values except y = -3 and y = -4, hence the range is given by:

B. \{y|y \in \mathbb{R}, y \neq -4, -3\}

More can be learned about the range of a function at brainly.com/question/10891721

#SPJ1

4 0
2 years ago
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