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3 years ago

What would be the total number of outcomes in each sample space?

Mathematics

1 answer:

Lerok [7]3 years ago

3 0

Answer:

810

Step-by-step explanation:

In this case the sample space would be the number of combinations that can be made with the numbers from 1 to 30 with the letters of the alphabet, from "a" to "z", for example:

A1, A22, C4, F9, etc

Now we know how many numbers are 30, now the alphabet has 27 letters, therefore, the number of combinations are:

27 * 30 = 810

Which means that the total number of results is 810.

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One meteorite weighs 1.8 pounds. A second meteorite weighs 2.35 times as much as the first meteorite weighs. How much does the s

Grace [21]

The answer is 4.23 the second meteorite wieghts 4.23 pounds

8 0

3 years ago

Find the exact value of csc ø, if cos ø= 1/9; 180° less ø less than 270°

Iteru [2.4K]

Answer:

The answer to your question is: the first option - 9/ $\sqrt{80}$

Step-by-step explanation:

Process

cosФ = adjacent side / hypotenuse

-1/9 = adjacent side / hypotenuse

adjacent side = -1 hypotenuse = 9

c² = a² + b²

b² = c² - a²

b² = 81 - 1

b = $\sqrt{80} \\$ b = opposite side

But b is negative because we are in the third quadrant.

b = - $\sqrt{80}$

Finally csc Ф = hypotenuse / opposite side

csc Ф = - 9 / $\sqrt{80}$

4 0

3 years ago

Write the equation of the conic section with the given properties:

timurjin [86]

Answer:

$\frac{x^2}{64} + \frac{y^2}{25} =1$

Step-by-step explanation:

An ellipse with vertices (-8, 0) and (8, 0)

Distance between two vertices = 2a

Distance between (-8,0) and (8,0) = 16

2a= 16

so a= 8

Vertex is (h+a,k)

we know a=8, so vertex is (h+8,k)

Now compare (h+8,k) with vertex (8,0) and find out h and k

h+8 =8, h=0

k =0

a minor axis of length 10.

Length of minor axis = 2b

2b = 10

so b = 5

General formula for the equation of horizontal ellipse is

$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b} =1$

a= 8 , b=5 , h=0,k=0. equation becomes

$\frac{(x-0)^2}{8^2} + \frac{(y-0)^2}{5} =1$

$\frac{x^2}{64} + \frac{y^2}{25} =1$

5 0

3 years ago

Helen purchased 3 copies of a book online at a 20% discount. She also paid $10 for shipping that was not discounted. How much wa

umka21 [38]

Answer:

The original price of the book was $12.50

Step-by-step explanation:

3x - 0.2(3x) + 10 = 40
30x - 2(3x) + 100 = 400
30x - 6x + 100 = 400
24x + 100 = 400
24x = 300
x = 12.50

3 0

2 years ago

89,000 rounded to the nearest thousand

Rufina [12.5K]

89 thousands?

........................

4 0

2 years ago

Read 2 more answers