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3 years ago

HOw do I find proportions?

Mathematics

1 answer:

Rudiy273 years ago

3 0

Answer: A proportion is simply a statement that two ratios are equal.

Example: 2:6 = 1:3

To get that you do this: 2:6 ÷ 2:2 = 1:3

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Example 2: 5:10 = 1:2

To get that you do this: 5:10 ÷ 2:2 = 1:2

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Alan is building a garden shaped like a rectangle with a semicircle attached to one short side. If he has 70 feet of fencing to

viktelen [127]

The dimension that would give the maximum area is 20.8569

<h3>How to solve for the maximum area</h3>

Let the shorter side be = x

Perimeter of the semi-circle is πx

Twice the Length of the longer side

$[70-(\pi )x -x]$

Length = $[70-(1+\pi )x]/2$

Total area =

area of rectangle + area of the semi-circle.

Total area =

$x[[70-(1+\pi )x]/2] + [(\pi )(x/2)^2]/2$

When we square it we would have

$70x +[(\pi /4)-(1+\pi)]x^2$

This gives

$70x - [3.3562]x^2$

From here we divide by 2

$35x - 1.6781x^2$

The maximum side would be at

$x = 35/2*1.6781$

This gives us 20.8569

Read more on areas and dimensions here:

brainly.com/question/19819849

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7 0

2 years ago

14. Suppose that 1 out of every 10,000 doctors in a certain region is infected with the SARS virus; in the same region, 20 out o

hram777 [196]

Answer:

The person in the at-risk population is much more likely to actually have the disease

Step-by-step explanation:

The probability of a randomly selected doctor having the disease is 1 in 1,000 (P(I)=0.0001).

The probability that a doctor is infected with SARS, given that they tested positive is:

$P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.0001*0.99}{0.0001*0.99+(1-0.0001)*0.01}\\P(I|+)=9.9*10^{-3}$

The probability of a randomly selected person from the at-risk population having the disease is 20 in 100 (P(I)=0.20).

The probability that a person in the at-risk population is infected with SARS, given that they tested positive is:

$P(I|+)=\frac{P(I)*0.99}{P(I)*0.99+(1-P(I))*0.01}\\P(I|+)=\frac{0.2*0.99}{0.2*0.99+(1-0.2)*0.01}\\P(I|+)=0.962$

Therefore, the person in the at-risk population is much more likely to actually have the disease

3 0

3 years ago

one of the solutions to x2 − 2x − 15 = 0 is x = −3. what is the other solution? x = −5 x = −1 x = 1 x = 5

Goryan [66]

$x^{2} -2x-15=0$
P(-15)
s(-2)
$x^{2} -5x+3x-15$
=x(x-5)+3(x-5)
=(x+3)(x-5)
x=5

3 0

4 years ago

Erick bought a game for $9.78, a toy for $6.34, and a sandwich for $4.91. If he started with $30, about how much money does he h

PIT_PIT [208]

Answer: $ 8.97

Step-by-step explanation:

Game =$9.78

toy=$ 6.34

sandwich =$4.91

Total amount spent=$9.78+$6.34+$4.91=> $21.03

Total amount=$30

left amount=total amount- amount spent

= $30-&21.03

=$8.97

5 0

3 years ago

A friut stand sells watermelons during the summer. The revenue for selling x watermelons is given by f(x)=2.5x. The team's profi

Thepotemich [5.8K]

Answer:

$91

Step-by-step explanation:

f(x) = 2.5 x

$25 more would + $25 to the function

60% = .6

Revenue is f(x) = 2.5x which we have to multiply by the .6

g(x) = $25 + .6 (2.5 x)

If we have 44 watermelons then we plug in 44 for x

x = 44

g(x) = $25 + .6 (2.5*44)

g(x) = $25 + .6 (110)

g(x) = 25 + 66

g(x) = $91

The profit is $91

7 0

4 years ago