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3 years ago

Which relation is a function?

Mathematics

1 answer:

Marat540 [252]3 years ago

4 0

Answer:

C.) or the third one

Step-by-step explanation:

Each input has one output.

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A sector with a central angle measure of \purpleD{175\degree}175°start color #7854ab, 175, degree, end color #7854ab has a radiu

Alisiya [41]

Answer: $219.94\ cm^2$

Step-by-step explanation:

Given

The central angle of a sector measures $175^{\circ}$

The radius of the circle is $r=12\ cm$

The area of the sector is given by

$\Rightarrow A=\dfrac{\theta }{360^{\circ}}\pi r^2$

Insert the values

$\Rightarrow A=\dfrac{175^{\circ}}{360^{\circ}}\cdot \pi \times 12^2\\\\\Rightarrow A=219.94\ cm^2$

8 0

3 years ago

Consider a situation in which p(x) = and p(y) = . if p(x and y) is = , which best describes the events? they are independent bec

jeka94

Considering the given probabilities, it is found that the correct option about whether the events are independent is given as follows:

p(x) · p(y) = p(x and y). They are independent because p(x) p(y) = p(x and y).

<h3>What are independent events?</h3>

Two events, A and B are independent, if:

$P(A \cap B) = P(A)P(B)$

Researching this problem on the internet, the probabilities are given as follows:

$P(X) = \frac{4}{5}, P(Y) = \frac{1}{4}, P(X \cap Y) = \frac{1}{5}$

Hence:

$P(X)P(Y) = \frac{4}{5} \times \frac{1}{4} = \frac{1}{5} = P(X \cap Y)$

Hence the events are independent and the correct option is given by:

p(x) · p(y) = p(x and y). They are independent because p(x) p(y) = p(x and y).

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

#SPJ4

4 0

2 years ago

QUESTION IS IN THE PICTURE, PLEASE HELP!!

andrey2020 [161]

Answer:

The median is 5, mode is 5, and range is 12

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Teresa drove 756 miles in 12 hours.

makkiz [27]

At the same rate Teresa would drive 567mi.

756/12 = 63

63 x 9 = 567

6 0

3 years ago

There are three different hoses used to fill a pool: hose x, hose y, and hose z. Hose x can fill the pool in a days, hose y in b

WARRIOR [948]

Answer:

C) I and III only

Step-by-step explanation:

Let full pool is denoted by O

Days Hose x takes to fill pool O = a

Pool filled in one day x = O/a

Days Hose y takes to fill pool O = b

Pool filled in one day y = O/b

Days Hose z takes to fill pool O = c

Pool filled in one day z = O/c

It is given that

a>b>c

$a>b>c>d\\\implies x$

Days if if x+y+z fill the pool together = d

1 day if x+y+z fill the pool together $=O(\frac{1}{a}+\frac{1}{b}+\frac{1}{c})=\frac{O}{d}---(1)$

I) d < c

d are days when hose x, y, z are used together where as c are days when only z is used so number of days when three hoses are used together must be less than c when only z hose is used. So d < c

III) $\frac{c}{3}$

Using (1)

$\frac{bc+ac+ab}{abc}=\frac{1}{d}\\\\d=\frac{abc}{ab+bc+ca}\\\\As\quad(a>b>c)\\(ab+bc+ca)\frac{abc}{3ab}\\\\d>\frac{c}{3}$

Similarly

$\frac{bc+ac+ab}{abc}=\frac{1}{d}\\\\d=\frac{abc}{ab+bc+ca}\\\\As\quad a>b>c\\(ab+bc+ca)>3bc\\\\d=\frac{abc}{ab+bc+ca}$

So,

$\frac{c}{3}$

3 0

3 years ago