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2 years ago

Please help quickly !!! Add using a number line. 5/6+(−1 1/6)

Mathematics

2 answers:

Klio2033 [76]2 years ago

4 0

Answer:

-1

Step-by-step explanation:

5/6 is .1 and if you convert it that's -1

inn [45]2 years ago

3 0

So first we identify the number 5/6 in the number line, and then we move 7/6 units to the left, and that will give the outcome of the sum, which is -2/6 = -1/3.

<h3>How to do a sum using the number line?</h3>

Here we want to perform the following sum:

5/6 + (-1 - 1/6)

To do it using the number line, you first need to start by identifying the first number on the number line, which is 5/6.

Then we add the other number, because it is a negative number, it will translate us to the left.

We can rewrite the second number as:

-1 -1/6 = -7/6

Then the sum becomes:

5/6 - 7/6

So first we identify the number 5/6 in the number line, and then we move 7/6 units to the left, and that will give the outcome of the sum, which is -2/6 = -1/3.

If you want to learn more about number lines.

brainly.com/question/4727909

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Step-by-step explanation:

The vocabulary term you're looking for is "transversal."

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For thousands of years, gold has been considered one of the earth's most precious metals. one hundred percent pure gold is24-

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14 karat gold is 58.3333...% gold
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4 years ago

A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the 20th century the mean number of t

Bas_tet [7]

Answer:

a) 0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.

b) 0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.

c) 0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.

Step-by-step explanation:

We have the mean during an interval, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

During the 20th century the mean number of the major hurricanes to strike U.S mainland per year was 0.6.

This means that $\mu = 0.6$

Find the probability that the number of major hurricane to strike U.S mainland in any any give year is:

a) Exactly one

This is P(X = 1). So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293$

0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.

b) At most one

This is:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

Then

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.6}*0.6^{0}}{(0)!} = 0.5488$

$P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5488 + 0.3292 = 0.878$

0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.

c) More than one

This is:

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.878 = 0.122$

0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.

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