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3 years ago

What is a simple event

Mathematics

1 answer:

jonny [76]3 years ago

4 0

Answer:

A simple event is an event where all possible outcomes are equally likely to occur. So the probability of simple events will have all possible outcomes equally likely to happen or occur. For example, when you toss a coin, there are two possible outcomes – heads or tails, and the probability of heads or tails is equal.

Step-by-step explanation:

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ryan and karl spent 28 hours building a tree house. ryan worked 4 more hours than karl. how many hours did each work

Snezhnost [94]

Ryan worked 18 hours while karl worked ten
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3 years ago

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There are 12 members on the board of directors for the Newport General Hospital. If they must elect a chairperson, first vice ch

rosijanka [135]

Answer:

11880 different slates of candidates are possible.

Step-by-step explanation:

The order is important in this problem.

That is, John, Elisa, Laura and Rose means that John is the chairperson, Elisa the first vice chairperson, Laura the second vice chairperson and Rose the secretary. If we exchange John and Elisa, for example, it means that their roles also have changed.

So we use the permutations formula to solve this problem.

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

How many different slates of candidates are possible?

Four roles in a set of 12 members. So

$P_{(12,4)} = \frac{12!}{(12-4)!} = 11880$

11880 different slates of candidates are possible.

5 0

3 years ago

-5 - (x + y) / 2 where x=3 and y=6

Monica [59]

Answer:-7

Step-by-step explanation:

7 0

3 years ago

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Consider the function.

matrenka [14]

The correct options are:

a) g(x) = 8*x - 6

b) g(x) = 2x - 10

c) g(x) = 2x - 14

d) g(x) = 8x - 24

<h3>How to identify each transformation?</h3>

Here we have the function:

f(x) = 2x - 6

The proposed transformations are:

a) Stretch by a factor of 4 along the x-axis.

A horizontal stretch of scale factor k is written as:

g(x) = f(x*k).

Then, in this case, we have:

g(x) = 2(x*4) - 6 = 8*x - 6

b) Shift f(x) 4 units down.

A vertical shift of N units is written as:

g(x) = f(x) + N

A shift of 4 units down is written as:

g(x) = f(x) - 4 = 2x - 6 - 4 = 2x - 10

c) Shift f(x) 4 units right.

An horizontal shift of N units is written as:

g(x) = f(x + N).

For a shift of 4 units to the right, we write:

g(x) = f(x - 4) = 2(x - 4) - 6 = 2x - 8 - 6 = 2x - 14

d) A vertical compression of scale factor 1/4.

A vertical compression of scale factor K is written as:

g(x) = f(x)/K

In this case, we will have:

g(x) = f(x)/(1/4) = 4*f(x) = 4*(2x - 6) = 8x - 24

If you want to learn more about transformations:

brainly.com/question/4289712

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3 0

2 years ago

Find the value of 1×4+2×5+3×6......n×（n+3）

Arada [10]

Answer:

n(n+1)(n+5)/3

Step-by-step explanation:

there is no value, as we don't know n.

but we can create a summary formula/ function definition :

this is the sum for k = 1 to n of k×(k+3)

k×(k+3) = k² + 3k

so, the overall sum splits into the sum of k² for k=1 to n, and the sum of 3k for k=1 to n.

and the sum of 3k is 3 times the sum of k for k=1 to n.

Σk² for k=1 to n = [n(n+1)(2n+1)]/6

Σk for k=1 to n = n(n+1)/2

3×Σk for k=1 to n = 3×n(n+1)/2

so, we have a function formula

n(n+1)(2n+1)/6 + 3n(n+1)/2 = n(n+1)(2n+1)/6 + 9n(n+1)/6 =

= n(n+1)(2n+1+9)/6 = n(n+1)(2n+10)/6 = n(n+1)(n+5)/3

3 0

3 years ago