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2 years ago

HELP Given the set of all odd integers from 1 to 81, what is the probability

Mathematics

1 answer:

dusya [7]2 years ago

3 0

Using it's concept, the probability of choosing a number that is a multiple of 9 is of 0.111.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

From 1 to 81, there are 81 numbers, of which 81/9 = 9 are multiples of 9, hence, considering that 81 is the number of total outcomes and that 9 is the number of desired outcomes, the probability is given the following division:

p = 9/81 = 1/9 = 0.111.

More can be learned about probabilities at brainly.com/question/14398287

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Answer:

Step-by-step explanation:

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2 years ago

A coordinate plane with a line passing through (negative 4, 3), (0, 1), and (4, negative 1). Which linear function is represente

9966 [12]

Answer:

Step-by-step explanation:

If these 3 points are collinear, then we can find the slope of the linear function using any 2 of those points. Suppose we use (-4, 3) and (0, 1):

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3 years ago

Read 2 more answers

Amanda's parents had a birthday dinner for her at Sushi Yama restaurant. The bill came to $74 before the tip. They left an 18% t

Vika [28.1K]

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the initial bill is $74

thereafter they gave a tip worth 18% of the bill

let us compute what 18% of $74 will amount to

Step two:

=18/100*74

=0.18*74

=$13.32

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3 years ago

A farmer owns pigs, chickens, and ducks. When all her animals are together, she has 30 feathered animals, and the animals all to

tatiyna

To solve this problem, let us first assign some variables. Let us say that:

x = pigs

y = chickens

z = ducks

From the problem statement, we can formulate the following equations:

1. y + z = 30 ---> only chicken and ducks have feathers

2. 4 x + 2 y + 2 z = 120 ---> pig has 4 feet, while chicken and duck has 2 each

3. 2 x + 2 y + 2 z = 90 ---> each animal has 2 eyes only

Rewriting equation 1 in terms of y:

y = 30 – z

Plugging this in equation 2:

4 x + 2 (30 – z) + 2 z = 120

4 x + 60 – 2z + 2z = 120

4 x = 120 – 60

4 x = 60

x = 15

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3 years ago

Please answerrrrr<br><br> Thank you!!!!!!!!!!!!

dlinn [17]

The correct answers are:

_________________

" (x − 13) ° = 53 ° " ;

_________________

" x = 66 " ;

_________________

" m∠2 = 55° " ;

_________________

" m∠1 = 55° " .

__________________

<u>Step-by-step explanation</u>:

Note: The following "given values/answers" within the attached image:

Specifically:

(x − 13)° = 72° ; and;

x = 85° ;

_________________

are: "incorrect"—and are "arbitrarily assigned values"

_________________

The values and expressions given in the attached image, however, are correct/do make sense; and we can use such data to solve the problem.

_________________

Let's start by finding the measure of ∠2 ; that is: " m∠2 " :

To find m∠2:

_________________

Note that: both: "∠2 " ; and the angle that measures "175" with the attached image:

→ both form a <u>straight line</u>—that is;

→ they are "supplementary angles" ;

→ which means they add up to "180° " ;

_________________

So: To solve for: "m∠2" :

_________________

→ m∠2 = 180 − (125) = 55° ,

_________________

Now; to solve for: " m∠1 " :

_________________

Note that ∠1 and ∠2 are vertical angles: which means that they have equal measurements;

{since: vertical angles are congruent; which means that vertical angles are equal.} ;

_________________

→ As such, m∠1 = m∠2 = 55 °.

_________________

Now, take either ∠1 or ∠2 ; (each has the same "measurement"—"55° " ;

And combine with angle with the given measurement of 72° ;

And combine with the angle with the "given measurement of [the expression: ["x − 13"]° ;

_________________

All three of these angles form a <u>straight line</u>—that is;

→ they are "supplementary angles" ;

→ which means they add up to "180° " ;

So, 55° + 72° + (x − 13)° = 180° ;

Let us solve for "x" ; and for "(x − 13)" ;

_________________

55 + 72 = 127 ;

→ 127 + (x − 13) = 180 ;

Now, subtract "127" from each side of the equation:

_________________

→ 127 + (x − 13) − 127 = 180 − 127 ;

to get:

" (x − 13) = 53 " ; → which is one of our answers;

Now, to solve for "x" ; we add "13" to Each Side of the equation;

to isolate "x" on one side of the equation; & to solve for "x" :

_________________

x − 13 + 13 = 53 + 13 ;

to get:

_________________

x = 66 ;

_________________

So: The correct answers are:

_________________

" (x − 13) ° = 53 ° " ;

→ Double check by substituting our value of "66" for "x" :

" (66 − 13) =? 53 ? Yes! ;

_________________

" x = 66 " ;

_________________

" m∠2 = 55° " ;

_________________

" m∠1 = 55° " .

_________________

Hope these answers—and explanations—are helpful!

Best wishes!

_________________

3 0

3 years ago