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gregori [183]
3 years ago
11

Evaluate the expression for the given values 5x + 3y when x=3 and y = 5

Mathematics
1 answer:
Leni [432]3 years ago
7 0

Answer:

30

Step-by-step explanation:

Using the substitution method

5(3) + 3(5) =

15 + 15 = 30

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Find the probability that a randomly selected person
Inga [223]

Answer:

The probability that a randomly selected person  from this sample liked recreational reading or disliked recreational reading is 1.

Step-by-step explanation:

The probability of an event <em>E</em> is the ratio of the favorable number of outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

Mutually exclusive events are those events which cannot occur together. They are also known as disjoint events.

If events <em>A</em> and <em>B</em> are mutually exclusive then:

P(A\cap B)=0

The data provided is:

Opinion                      Like academic     Dislike academic      Total

                                          reading              reading

Liked recreational                   136                      40                      176

reading

Disliked recreational                16                        8                        24

reading

Total                                       152                      48                      200

Denote the events as follows:

<em>X</em> = a person liked recreational reading.

<em>Y</em> = a person disliked recreational reading.

Compute the probability that a randomly selected person  from this sample liked recreational reading or disliked recreational reading as follows:

P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)

                =\frac{176}{200}+\frac{24}{200}-0\\\\=\frac{176+24}{200}\\\\=1

Thus, the probability that a randomly selected person  from this sample liked recreational reading or disliked recreational reading is 1.

7 0
3 years ago
Ifa rectangle measures 20 meters by 48 meters, what is
sasho [114]

Answer:

52m

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal since drawing a diagonal across a rectangle results in two right angle triangles.

Length of diagonal = \sqrt{20^2+48^2} (The length of the diagonal can be thought of as the hypotenuse of one of the right angle triangles)

=\sqrt{2704}

=52 m

∴ The length of the diagonal is 52 m

Hope this helps :)

4 0
3 years ago
The digit 4 in which number represents a value of 4 hundreds?
REY [17]

Answer:

the answer is 422.1

Hope it helps

4 0
3 years ago
A stream begins at an elevation of 200 meters and flows a distance of 400 kilometers to the ocean? what is the average gradient?
nekit [7.7K]
Change in y = -200 meters
change in x = 400,000 meters

slope  = change in y / change in x = -200/400,000 = -1/2,000 meters
8 0
3 years ago
Read 2 more answers
Sally stuffed her backpack full of bird seeds her backpack weighed 7200 g is how many kilograms did her bag weight
miv72 [106K]
The answer 7.2 grams
5 0
3 years ago
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