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Amiraneli [1.4K]
2 years ago
10

Fatheya and Fatema, along with 30 other people, sign up to audition for a talent show. Contestants are called at random to perfo

rm for the judges. What is the probability that Fatheya will be called to perform first and Fatema will be called second?
Mathematics
1 answer:
galina1969 [7]2 years ago
7 0

So there's 30 people or slots. The odds that Fatheya will be chosen to perform first is 1/30. But now there's one less slot.

Now with Fatema, there's 29 slots, so there's a 1/29 chance. Then combine these values by multiplying them:

1/30 * 1/29 = <em>1/870</em>

All done!

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Given that f(x) = x2 – 3x – 28 and g(x) = x - 7, find
gregori [183]

Answer:

(f-g)(x)=x^2-4x-21

Step-by-step explanation:

We are given the two functions:

f(x)=x^2-3x-28\text{ and } g(x)=x-7

And we want to find:

(f-g)(x)

This is equivalent to:

=f(x)-g(x)

Substitute:

=(x^2-3x-28)-(x-7)

Distribute:

=x^2-3x-28-x+7

Rearrange:

=(x^2)+(-3x-x)+(-28+7)

Hence:

(f-g)(x)=x^2-4x-21

6 0
2 years ago
hat is the approximate distance between Portland, Oregon (45° north, 122° west), and San Francisco, California (37° north, 122°
juin [17]
<span>Since both places are on the same longitude (122° west) and different lattitudes 45° north and 37° north, the distance between the two place lies on a great circle (along a line of longitude). Difference in latitudes = 45 - 37 = 8° (subtract the lattitudes because both sides are on the same side in the latitude i.e. both are north) The distance between two points along the line of longitude is given by theta / 360 x 2 x pi x R: where theta = 8° and R is the radius of the earth = 3,960 miles. d = 8 / 360 x 2 x pi x 3960 = 552.9 miles</span>
8 0
3 years ago
4.2 divided by 8.19 =
Damm [24]
Well, 4.2 divided by 8.19 = 0.51282051282 But if you switch it to 8.19 divided by 4.2 that would equal 1.95

Hope I helped!

- Debbie <span />
3 0
3 years ago
Read 2 more answers
Express 1+√2/√2 in the form p+q√2​
scoundrel [369]

\frac{1+\sqrt{2}}{\sqrt{2}} = \frac{1}{\sqrt{2}} + \frac{\sqrt{2}}{\sqrt{2}} = 1 + \frac{1}{\sqrt{2}}

3 0
3 years ago
The product of two positive numbers is greater than the sum of the two numbers
andreyandreev [35.5K]

Answer:

no cause it is negative.

two positives make a negative

7 0
3 years ago
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