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Nady [450]
3 years ago
15

Adding & subtracting fractions

Mathematics
2 answers:
Nady [450]3 years ago
7 0
<span>Before you can add or subtract fractions with different denominators, you must first find equivalent fractions with the same denominator, like this:
<span>Find the smallest multiple (LCM) of both numbers.
<span>Rewrite the fractions as equivalent fractions with the LCM as the denominator.</span></span></span>
Hope i helped!
Travka [436]3 years ago
7 0
When you add or subtract fractions, the denominators must be the same. Then you add or subtract the numerators and have that same denomenator
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A levee was designed to protect against floods with an annual exceedance probability of 0.02. A larger flood would cause the lev
LuckyWell [14K]

Answer:

66.76% probability that the levee will NEVER fail in the next 20 years.

Step-by-step explanation:

For each year, there are only two possible outcomes. Either a levee fails during the year, or no levees fail. In each year, the probabilities of levees failing are independent from each other. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

A levee was designed to protect against floods with an annual exceedance probability of 0.02. This means that p = 0.02

What is the risk that the levee will NEVER fail in the next 20 years?

This is P(X = 0) when n = 20. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{20,0}*(0.02)^{0}*.(0.98)^{20} = 0.6676

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7 0
3 years ago
What is the distance between -80 and 8?
elena55 [62]

Answer:

-88

Step-by-step explanation:

i did -80-8 =-88 and to make sure you do -88+8 and you get 80 so -88 is the distance between -80 and 8

5 0
3 years ago
I need help fast plss
Marysya12 [62]

Answer:

a = 1√6

b = -2

Step-by-step explanation:

Hello,

To solve this trigonometric problem, we need to convert this values into fractions

a).

Sin45° = 1/√2

cos30° = √3/2

Sin60° = √3/2

Sin45° / (cos30° + sin60°) = [(1/√2) ÷ (√3/2 + √3/2)]

(1/√2) ÷ (√3/2 + √3/2)

Add √3/2 + √3/2

1/√2 ÷ 2√3/2

1/√2 × 2/2√3

2/2√(2×3)

2/2√6

1/√6

b

Cos 180° = -1

Sin150° = ½

Tan135° = -1

2cos180° - 2sin150° - tan135°

(2 × -1) - (2×½) - (-1)

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3 years ago
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