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Anastasy
9 days ago
6

Of 50 people, 38 have brown hair, 29 have brown eyes, and 23 have both brown hair and brown eyes. how many have neither brown ha

ir nor brown eyes?
A) 6 C) 10
B) 8 D) 12
Mathematics
2 answers:
babunello [11.8K]9 days ago
8 0
Is the process like this: 38+29=67, then 67-23=44
50-44=6
thus possibly A?
Svet_ta [12.7K]9 days ago
4 0

Answer:

The right choice is A.

Here's the explanation in steps:

Let A and B denote these events.

A = Individual with brown hair

B = Individual with brown eyes

Provided data:

Total individuals, S = 50

Individuals with brown hair, n(A)=38

Individuals with brown eyes, n(B)=29

Individuals with both features, n(A∩B)=23.

The grand total of individuals with either brown hair or eyes is

n(A\cup B)=n(A)+n(B)+n(A\cap B)

n(A\cup B)=38+29-23

n(A\cup B)=44

A total of 6 individuals have neither brown hair nor eyes.

S-n(A\cup B)=50-44=6

Thus, the accurate option is A.

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Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

y = 3x - 2.

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A. y = 5x + \frac{3}{10}

B. y = 5x + 3

C. y = \frac{1}{5} x + \frac{3}{25}

D. y = \frac{1}{2} x + 6

Response:

B. y = 5x + 3

Detailed explanation:

Given

Equation 1: y = 3x - 2.

Equation 2: 10(x + \frac{3}{5} ) = 2y

Required:

Equivalent of equation 2

To achieve an equivalence of equation 2 (in slope-intercept form), we must first simplify it

10(x + \frac{3}{5} ) = 2y

Open the brackets

10*x + 10 *\frac{3}{5} = 2y

10x + \frac{30}{5} = 2y

Simplify the fractions

10x + 6 = 2y

Divide by 2

\frac{10x}{2} + \frac{6}{2} = \frac{2y}{2}

5x + 3 = y

Re-arrange

y = 5x + 3

Next, we compare options A through D with y = 5x + 3

A. is not equal to y = 5x + 3

Next, we check the second option

B.

y = 5x + 3 matches y = 5x + 3

This option represents the second equation in slope-intercept format.

We check for further options

C.

y = \frac{1}{5} x + \frac{3}{25}

Convert the fraction into a decimal

y = 0.2x + 0.12

This does not equal y = 5x + 3

D.

y = \frac{1}{2} x + 6

Convert the fraction to decimal

y = 0.5x + 6

This also does not equal to y = 5x + 3

Therefore, the only option equivalent to the second equation in slope-intercept form is Option B

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Answer:

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Step-by-step explanation:

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Response:

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Detailed breakdown:

* Given f(x) = 7 + 4x

* Given g(x) = \frac{1}{2x}

* We aim to determine \frac{f}{g}(5)

- Initially, let’s calculate \frac{f}{g}(x)

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∵ g(x) = \frac{1}{2x}

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the fraction following the division sign

∴ (7 + 4x) × \frac{2x}{1}

∴ \frac{f}{g}(x) = 2x(7 + 4x)

∴ \frac{f}{g}(x) = 14x + 8x²

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