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4 years ago

7

Ethan rolls a 6-sided die. What is the probability that he gets a number greater than 4 or an even number?

2 answers:

Marrrta [24]4 years ago

3 0

Well,

The probability will be the number of favorable outcomes over the total number of outcomes.

The number of favorable outcomes will be the numbers greater than 4 (5,6) and the even numbers (2,4,6). So the favorable outcomes are 2,4,5, and 6. That is 4 total.

$\frac{4}{6} \ or\ \frac{2}{3}$

Serga [27]4 years ago

3 0

Getting a number greater than 4 means getting 5 or 6
Getting an even number means getting 2,4 or 6
Hence there are 4 favorable cases out of 6 possible cases, and the probability is 4/6=2/3.

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Phoenix [80]

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3 years ago

- Write a recursive formula to represent the sequence below.<br> (3,7, 11, 15, 19,23,27,31,35, ...)

NemiM [27]

<em><u>The recursive formula to find nth term of sequence is:</u></em>

$a_n = 4n - 1 \text{ where } n \geq 1$ and n = 1, 2, 3, ....

<em><u>Solution:</u></em>

Given a sequence is:

3, 7, 11, 15, 19, 23, 27, 31, 35

<em><u>Let us find the difference between terms</u></em>

7 - 3 = 4

11 - 7 = 4

15 - 11 = 4

19 - 15 = 4

23 - 19 = 4

27 - 23 = 4

31 - 27 = 4

35 - 31 = 4

Thus the difference between terms is constant

Thus the given sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

<em><u>The nth term of arithmetic sequence is given by:</u></em>

$a_n =a_1+(n-1)d$

$a_n$ = the nᵗʰ term in the sequence

$a_1$ = the first term in the sequence

d = the common difference between terms

Here in the given sequence

d = 4

$a_1=3$

Substitute in above formula,

$a_n = 3 + (n-1)(4)\\\\a_n = 3 + 4n - 4\\\\a_n = 4n - 1$

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3 years ago

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irakobra [83]

Answer:

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Thus, the domain of g is: -7 ≤ x ≤ 4

Step-by-step explanation:

We know that the domain of a function is the set of inputs or argument values for which the function is defined.

From the given graph, it is cleared that the function g starts from the x-value x = -7 and ends at x = 4.

It means the function is defined for the set of input values from x = -7 to x = 5 for which the function is defined.

Therefore, we conclude that the set of numbers x satisfying -7 ≤ x ≤ 4 is an interval that contains -7, 4, and all numbers in between.

Thus, the domain of g is: -7 ≤ x ≤ 4

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