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BlackZzzverrR [31]
3 years ago
6

In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the

band.
Find the probability that a student chosen at random is in the choir or the band or both
Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

60 are in choir and band, which leaves 50 (110 - 60) in choir and not band, and 180 (240 - 60) in band and not choir, and the remaining 220 (450 - 50 - 180) students don't belong to either. So

P(\text{choir OR band})=P(\text{choir})+P(\text{band})-P(\text{choir AND band})

=\dfrac{50}{450}+\dfrac{180}{450}-\dfrac{60}{450}=\dfrac{170}{450}\approx0.38

If instead "110 of them are in choir" means 110 students are in choir and NOT in band, and "240 of them are in bad" means 240 students are in band and NOT choir, then

P(\text{choir OR band})=\dfrac{110}{450}+\dfrac{240}{450}-\dfrac{60}{450}=0.64

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Answer:

  25%

Step-by-step explanation:

Her profit is $20,000 on her cost of $80,000, so is ...

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3 years ago
On a map, 2 inches represents an actual distance of 64 miles. Towns A and B are 608 miles apart. Find the distance between the t
Lelu [443]

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Step-by-step explanation:

On the map. 2 inches represent an actual distance of 64 miles.

The actual distance between town A and town B is equal to 608 miles, we need to divide this distance into groups of 64 miles.

N = 608/64 = 9.5

And each one of those 9.5 groups is represented with 2 inches in the map, then the distance in the map is:

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6 0
3 years ago
Read 2 more answers
Write the expression in complete factored form<br><br> 4u^2(a-3)+q(a-3)
Sauron [17]

[ Answer ]

\boxed{\bold{4au^{2} \ - \ 12u^{2} \ + \ aq \ - \ 3q}}

[ Explanation ]

  • Factor: 4u^{2}(a - 3) + q(a - 3)

-------------------------------------

  • Expand 4u^2\left(a-3\right): 4au^2-12u^2

4au^2-12u^2+q\left(a-3\right)

  • Expand

q\left(a-3\right): aq-3q

  • Answer

4au^2-12u^2+aq-3q

\boxed{\bold{[] \ Eclipsed \ []}}

3 0
3 years ago
Which number-line model represents the sum of 1.25+(-0.75)?
SIZIF [17.4K]

Solution:

<u>A few tips...</u>

  • Tip-1: If "+" and "-" are multiplied, it gives a result of "-".
  • Tip-2: If "-" and "-" are multiplied, it gives a result of "+".
  • Tip-3: If "+" and "+" are multiplied, it gives a result of "-".

<u>Changing the sign of the given equation.</u>

  • 1.25 + (-0.75)
  • => 1.25 - 0.75                                        [Sign changes according to tip-1.]

This could only mean that the arrow would go to <u>1.25 units forward.</u> Then a second arrow will be drawn to go <u>0.75 units back.</u>

The graph that matches with the above info is Option C.

5 0
2 years ago
A square patio has an area of 200 square feet . How long is each side of the patio to the nearest tenth ?
MAXImum [283]

Givens

Area = 200 square feet

Formula

A = s^2

Soluton

s^2 = 200 square feet.

Take the square root of both sides.

square root s^2 = square root (200)

You  should use a calculator to find the square root of 200

√

200

=

is the way to put it into the calculator.

s = 14.1 feet on each side. <<<<< Answer

4 0
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