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jeka94
3 years ago
6

Probability question

Mathematics
1 answer:
Lorico [155]3 years ago
5 0
N = 45
Sample size = 6

\text {Number of combination = } C(45, 6) =  \dfrac{45!}{6!39!} = 8 145, 060

Answer:  8 145, 060
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The perpendicular bisector of the line segment connecting the points (-3,8) and (-5,4) has an equation of the form y = mx + b. F
omeli [17]

Answer:

Step-by-step explanation:

find the slope

\frac{4-8}{-5-(-3)} =\frac{-4}{-2} \\\\slope=2\\y=mx+b\\y=2x+b\\

take a coordinate to fill in

(-5,4)\\y=-5\\x=4\\-5=2(4)+b\\-5=8+b-8   -8\\-13=b\\

this means that the equation is y=2x-13

and if you add m and b

you get :-11

<u><em>I HOPE THIS HELPS</em></u>

8 0
3 years ago
Read 2 more answers
How many and what type of solutions does the equation have?
Natali [406]
Let's solve the equation 2k^2 = 9 + 3k
First, subtract each side by (9+3k) to get 0 on the right side of the equation
2k^2 = 9 + 3k
2k^2 - (9+3k) = 9+3k - (9+3k)
2k^2 - 9 - 3k = 9 + 3k - 9 - 3k
2k^2 - 3k - 9 = 0

As you see, we got a quadratic equation of general form ax^2 + bx + c, in which a = 2, b= -3, and c = -9.
Δ = b^2 - 4ac
Δ = (-3)^2 - 4 (2)(-9)
Δ<u /> = 9 + 72
Δ<u /> = 81

Δ<u />>0 so the equation got 2 real solutions:
k = (-b + √Δ)/2a = (-(-3) + √<u />81) / 2*2 = (3+9)/4 = 12/4 = 3
AND
k = (-b -√Δ)/2a = (-(-3) - √<u />81)/2*2 = (3-9)/4 = -6/4 = -3/2

So the solutions to 2k^2 = 9+3k are k=3 and k=-3/2

A rational number is either an integer number, or a decimal number that got a definitive number of digits after the decimal point.

3 is an integer number, so it's rational.
-3/2 = -1.5, and -1.5 got a definitive number of digit after the decimal point, so it's rational.

So 2k^2 = 9 + 3k have two rational solutions (Option B).

Hope this Helps! :)
7 0
3 years ago
Read 2 more answers
Please actually help me. ill give brainliest if you explain your answer.
meriva

Answer:

subtract 11 from both sides

Step-by-step explanation:

-3x+11=44

-3x=33

x=-11

4 0
3 years ago
Read 2 more answers
Enter a positive common factor (other than 1) of 20 and 15
lana [24]

5

the factors of 20 are 1, 2, 4, 5, 10, 20

the factors of 15 are 1, 3, 5, 15

the common factor of 20 and 15 is 5


6 0
3 years ago
Let g(x) = – x^2 + 4x + 3. Find and simplify g(-3).​
Evgen [1.6K]

Steps to solve:

g(x) = – x^2 + 4x + 3 when g(-3).

~Substitute x with -3.

g(-3) = -(-3)^2 + 4(-3) + 3

~Simplify

g(-3) = -9 - 12 + 3

~Simplify using PEMDAS

g(-3) = -18

Best of Luck!

7 0
3 years ago
Read 2 more answers
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