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3 years ago

HELP! (WILL MARK BRAINLIEST!)

Mathematics

1 answer:

givi [52]3 years ago

4 0

Step-by-step explanation:

Step 1: Identify the blanks

$f(x) = \sqrt{x-3}$ and $g(x) = 2x + 4$

f · g = $f( g( x ) )$

= $f( 2x + 4 )$

= $\sqrt{(2x + 4) - 3}$

= $\sqrt{2x + 1}$

Since the g(x) is in the inside, that is what goes in first to produce the f(2x + 4). Now we put in (2x + 4) into the x of the f(x) function.

This produces: $\sqrt{(2x + 4) - 3}$

Now, we just combine like terms to get: $\sqrt{2x + 1}$

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2 years ago

Find the area of a parallelogram with a base of 5 cm and a height of 15 cm.

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3 years ago

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3 years ago

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sashaice [31]

Answer:

(d) is true

Explanation:

Given

$Brown = 8$

$Purple = 7$

Required

Which of the options is true

A) P(Brown) = P(Not Brown)

P(Brown) is calculated as:

$P(Brown)=\frac{Brown}{Brown + Purple}$

$P(Brown)=\frac{8}{8+7}$

$P(Brown)=\frac{8}{15}$

P(Not Brown) is calculated as:

$P(Not\ Brown) = 1 - P(Brown)$ --- Complement rule

$P(Not\ Brown) = 1 - \frac{8}{15}$

Solve

$P(Not\ Brown) = \frac{7}{15}$

Both are not equal.

Hence, (a) is not true

(b) P(Brown) < P(Not Brown)

In (a) above

$P(Brown)=\frac{8}{15}$

$P(Not\ Brown) = \frac{7}{15}$

By comparison;

$P(Brown) > P(Not\ Brown)$

Because:

$8/15 > 7/15$

Hence, (b) is not true

(c) P(Not Brown) > P(Brown)

This is the same as (b)

i.e. both conditions represent the same.

Hence, (c) is incorrect

(d) P(Brown) > P(Not Brown)

In (b), we established that

$P(Brown) > P(Not\ Brown)$

Because:

$P(Brown)=\frac{8}{15}$

$P(Not\ Brown) = \frac{7}{15}$

$8/15 > 7/15$

Hence, (d) is true

8 0

2 years ago

Read 2 more answers

The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a lis

Nookie1986 [14]

Answer:

0.0001899

Step-by-step explanation:

Total number to be selected from= 22

The number to be chosen for the event in an ordered sample is 5 from 22 people= 22C5

Where 22 Is the total number of possibilities and 5 is the no of selection

22C5= 22!/(22-5)!5!

= 22!/17!5!

= 22*21*20*19*18*17!/17!*5!

22*21*20*19*18/5*4*3*2*1

=22*7*19*9

=26334

If there is exactly 5 young people in the population, the probability will be 5/22C5

=5/26334

=0.0001899.

6 0

3 years ago