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2 years ago

How does the Counting Principle help when determining the sample space for a probability distribution?

Mathematics

1 answer:

andreyandreev [35.5K]2 years ago

7 0

Answer:

This is also known as the Counting rule.

The Fundamental Counting Principle is used in determining all the possible outcomes and the total possible ways different events can be combined with each other. It is usually done by multiplying all the events together to get the total possible outcome. Doing this also helps in determining the sample space of a probability.

For example there are events a, b and c. The total sample space or possible outcome will be a*b*c.

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The perimeter of the base of a regular quadrilateral prism is 32 cm. The height of the prism is 2 times greater than the length

horsena [70]

A regular quadrilateral prism has 12 edges. It is given perimeter of the base 32 cm. Length of each edge of base will be 32÷4=8 cm. The 4 edges at the top will also have the same number of edges that is 4 with measure 8cm each.

Given: The height of the prism is 2 times greater than the length of the base edge.Height of prism = 2(8)= 16cm. Number of edges with measure 16 cm is 4.

Sum of all the 12 edges= 8+8+8+8+16+16+16+16+8+8+8+8=128 cm.

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2 years ago

Revenue

denis23 [38]

Answer:

Step-by-step explanation:

Given that a small business assumes that the demand function for one of its new products can be modeled by

$p=ce^{kx}$

Substitute the given values for p and x to get two equations in c and k

$40 = ce^{1200k} \\45 = ce^{1000k}$

Dividing on by other we get

$\frac{45}{40} =e^{-200k} \\-200 k = ln (45/40) = 0.117583\\k = -0.000589$

Substitute value of k in any one equation

$45 = ce^{-0.589} \\c=45.02651$

b) Revenue of the product is demand and price

i.e. R(x) = p*x = $45.02651xe^{-0.000589x}$

Use Calculus derivative test to find max Revenue

R'(x) = $45.02651 e^{-0.000589x}-45.02651*0.000589 x e^{-0.000589x}\\$

EquateI derivative to 0

1-0.000589x =0

x = 1698.037

When x = 1698 and p = 16.56469

7 0

2 years ago

Please help with these questions for alot of points and brainiest

Sliva [168]

5. To figure this out you must find when y = 0

-16t^2 = -200

t^2 = 12.5

Square root

t = 3.54 C

Axis of symetry = -.5 (always a vertical line down vertex)

Vertex = (-.5, -6.5) (the minimum of the graph)

7. To find maximum height you must find the vertex

The maximum height is 549 feet after 5.75 seconds

9. Solve for X

x^2 = 1

Square root

X = plus or minus 1

6 0

2 years ago

Read 2 more answers

Ben measures the height of two bottles. one is 12 centimeters, and the other is 15 centimeters. in millimeters, what is the diff

IgorC [24]

One bottle has a height of 12 centimeters or 12 cm. Let us call this h1, so h1 = 12 cm

While the other bottle has a height of 15 centimeters or 15 cm. Let us call this h2, so h2 = 15 cm

The difference in height can be calculated by subtracting the smaller number from the bigger number, therefore:

difference in height = h2 – h1

difference in height = 15 cm – 12 cm

difference in height = 3 cm

We know that in 1 meter there is:

1 meter = 100 centimeters = 1000 millimeters

Therefore,

difference in height = 3 cm (1000 millimeters / 100 centimeters)

difference in height = 30 mm

6 0

2 years ago

A stadium has two sections, A and B.

Alekssandra [29.7K]

ANSWER: a=12 b=15
Explanation: (look at work below)

4a + 1b = 63 (eq1)
5a + 3b = 105 (eq2)
-12a + -3b = -189 (subt. eq1 from eq2)
————————-
-7a = -84
a = 12
4(12) + 1b = 63 (plug in the a value)
48 + 1b = 63
b = 15

5 0

2 years ago