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WARRIOR [948]
2 years ago
13

An apartment has 115 square meters of carpeting. How much is this in square feet? Use the following conversion: 1 square meter i

s 10.8 square feet.
Mathematics
1 answer:
Marat540 [252]2 years ago
5 0
1,242 is the awnser I am pretty sure
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How many strings of eight english letters are there
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In a certain Algebra 2 class of 30 students, 14 of them play basketball and 10 of them play baseball. There are 14 students who
Veseljchak [2.6K]

Answer:

In a certain Algebra 2 class of 30 students, 22 of them play basketball and 18 of them play baseball. There are 3 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

I know how to calculate the probability of students play both basketball and baseball which is 1330 because 22+18+3=43 and 43−30 will give you the number of students plays both sports.

But how would you find the probability using the formula P(A∩B)=P(A)×p(B)?

Thank you for all of the help.

That formula only works if events A (play basketball) and B (play baseball) are independent, but they are not in this case, since out of the 18 players that play baseball, 13 play basketball, and hence P(A|B)=1318<2230=P(A) (in other words: one who plays basketball is less likely to play basketball as well in comparison to someone who does not play baseball, i.e. playing baseball and playing basketball are negatively (or inversely) correlated)

So: the two events are not independent, and so that formula doesn't work.

Fortunately, a formula that does work (always!) is:

P(A∪B)=P(A)+P(B)−P(A∩B)

Hence:

P(A∩B)=P(A)+P(B)−P(A∪B)=2230+1830−2730=1330

7 0
2 years ago
Which expression is equivalent to
Scilla [17]

The equivalent expression of \frac{(5ab)^3}{30ab^{-7}} is \frac{25a^{2}b^{10}}{6}

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

\frac{(5ab)^3}{30ab^{-7}}

Expand the numerator

\frac{(5ab)^3}{30ab^{-7}} =\frac{125a^3b^3}{30ab^{-7}}

Divide 125 and 30 by 5

\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^3b^3}{6ab^{-7}}

Apply the law of indices

\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^{3-1}b^{3+7}}{6}

Evaluate the exponent

\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^{2}b^{10}}{6}

Hence, the equivalent expression of \frac{(5ab)^3}{30ab^{-7}} is \frac{25a^{2}b^{10}}{6}

Read more about equivalent expression at:

brainly.com/question/2972832

#SPJ1

6 0
2 years ago
Add the following fractions, and give your answer as a reduced improper fraction. 11/13+4/7
Sati [7]

Answer:

Step-by-step explanation:

Give the fractions a common denominator

11/13 + 4/7 = 77/91 + 52/91

= 129/91

8 0
2 years ago
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