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3 years ago

Maria flips a coin 20 times. The coin only lands on tails 9 times. According to theoretical

Mathematics

1 answer:

guapka [62]3 years ago

4 0

Answer:

Step-by-step explanation:

A coin only has two outcomes. Meaning that she has a 50/50 chance of landing on each side. So, 50% of 20 is 10. According to the theoretical probabilty, the coin would have landed on heads 10 times and tails 10 times. So, for that to be true Maria would have had to land on tails one more time.

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5.Write each algebraic expression in simplest form.

Hatshy [7]

Answer:

=12x+y

Step-by-step explanation:

Combine like terms

=5x+-3y+7x+4y

=(5x+7x)+(-3y+4y)

=12x+y

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3 years ago

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Jonah has a recipe that uses 1 1/2 cups of brown sugar and 2 1/3 cups of flour to make 24 muffins. He has a total of 7 cups of f

ra1l [238]

7 / 2 1/3 = 7/1 / 7/3 = 7/1 * 3/7 = 21/7 = 3 ( enough flour for 3 batches of muffins)

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Ok I really need help

Nataly_w [17]

for a normal triangle its (bh)/2 but this is a right triangle so you multiply the two perpendicular sides and divide it by 2

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3 years ago

Find the sum

lakkis [162]

Answer:

Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2

Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3

Step-by-step explanation:

Let

S = 2b/(b+a)^2 + 2a/(b^2-a^2) factor denominator

= 2b/(b+a)^2 + 2a/((b+a)(b-a)) factor denominators

= 1/(b+a) ( 2b/(b+a) + 2a/(b-a)) find common denominator

= 1/(b+a) ((2b*(b-a) + 2a*(b+a))/((b+a)(b-a)) expand

= 1/(b+a)(2b^2-2ab+2ab+2a^2)/((b+a)(b-a)) simplify & factor

= 2/(b+a)(b^2+a^2)/((b+a)(b-a)) simplify & rearrange

= 2(b^2+a^2)/((b+a)^2(b-a))

Numerator = 2(b^2+a^2) or equivalently 2b^2+2a^2

Denominator = (b+a)^2*(b-a), or equivalently b^3+ab^2-a^2b0-a^3

4 0

3 years ago

Deluxe River Cruises operates a fleet of river vessels. The fleet has two types of vessels: A type-A vessel has 60 deluxe cabins

bixtya [17]

Answer: It should be used 2 for type-A and 3 for type-B to minimize the cost.

Step-by-step explanation: As it is stipulated, <u>x</u> relates to type-A and y to type-B.

Type-A has 60 deluxe cabins and B has 80. It is needed a minimum of 360 deluxe cabins, so:

60x + 80y ≤ 360

For the standard cabin, there are in A 160 and in B 120. The need is for 680, so:

160x + 120y ≤ 680

To calculate how many of each type you need:

60x + 80y ≤ 360

160x + 120y ≤ 680

Isolating x from the first equation:

x = $\frac{360 - 80y}{60}$

Substituing x into the second equation:

160( $\frac{360 - 80y}{60}$ ) + 120y = 680

-3200y+1800y = 10200 - 14400

1400y = 4200

y = 3

With y, find x:

x = $\frac{360 - 80y}{60}$

x = $\frac{360 - 80.3}{60}$

x = 2

To determine the cost:

cost = 42,000x + 51,000y

cost = 42000.2 + 51000.3

cost = 161400

To keep it in a minimun cost, it is needed 2 vessels of Type-A and 3 vessels of Type-B, to a cost of $161400

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3 years ago