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3 years ago

An urn contains 5 white ball and 8 black balls. 4 balls are randomly selected.

Mathematics

1 answer:

larisa86 [58]3 years ago

5 0

$|\Omega|=13^4=28561\\ |A|=8^3\cdot5=2560\\\\ P(A)=\dfrac{2560}{28561}\approx9\%$

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GrogVix [38]

9514 1404 393

Answer:

(d) f(x) = 2x^2 - 16x + 35

Step-by-step explanation:

The x-coordinate of the extreme will be found at ...

x = -b/(2a)

where the function is f(x) = ax²+bx+c.

The extreme will be a minimum when a > 0. (eliminates choices A and B)

The x-coordinates of the extremes are ...

C: -(-4)/(2(4)) = 1/2

D: -(-16)/(2(2)) = 4 . . . . . matches the requirement

The appropriate choice is ...

f(x) = 2x^2 - 16x + 35

3 0

2 years ago

What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0?

s344n2d4d5 [400]

Answer:

2 units

Step-by-step explanation:

The given equation of the circle is:

$x^{2} + y^{2}+8x-6y+21=0$

The general equation of the circle is:

$x^{2} + y^{2}+2gx+2fy+c=0$

Comparing the given equation with the general equation we can say:

g = 4

f = -3

c = 21

The formula for radius of the circle is:

$radius=\sqrt{g^{2} +f^{2} -c }$

Using these values of the given circle, we get:

$radius=\sqrt{(4)^{2}+(-3)^{2}-21}\\\\radius=\sqrt{4}\\\\radius=2$

Therefore, the length of radius of the given circle is 2.

3 0

2 years ago

Can someone help with this ?

erik [133]

Answer: b=-12

Step-by-step explanation:

120/-10 = -12

-10b/-10 = b

b=-12

3 0

3 years ago

Read 2 more answers

If $1000 is invested at an interest rate of 6.5% per year, compounded daily, find the value of the investment after the given nu

Blizzard [7]

Answer:

Step-by-step explanation:

4 0

2 years ago

A seven-sided number cube with sides numbered 1-7 is rolled. what is the probability that a 4 or an odd number is rolled.

jeka57 [31]

There’s a 1/7 chance it would roll a 4.

There’s a 4/7 chance it would roll an odd number.

8 0

2 years ago