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3 years ago

Find the missing side. Round to the nearest tenth when necessary.

Mathematics

1 answer:

maria [59]3 years ago

7 0

Answer:

x = 24

Step-by-step explanation:

a² + b² = c²

a² + 10² = 26²

a² + 100 = 676

a² = 576

$\sqrt{a^2} =\sqrt{576}$

a = 24

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Tommy took one of his friends out to dinner. The dinner cost $100 and he paid 3% sales tax. If Tommy left an 18% tip on the $100

nalin [4]

Answer:

121

Step-by-step explanation:

3% of 100 = 3

18% of 100 = 18

100+3+18=121

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3 years ago

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At the carnival the ratio of people who won the ring toss game to lost it 5 : 3. If 45 people won, how many people would of lost

REY [17]

5 win : 3 lost

*9 *9

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45 win : 27 lost

Answer: 27 lost

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3 years ago

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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.

6 0

3 years ago

How do you write a number sentence for 1623 and 2024 rounding to the tens place to estimate the number of years between the ecli

iVinArrow [24]

One thousand six hundred twenty and two thousand and twenty there 600 years between eclipses<span />

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3 years ago

Question 2

Elena-2011 [213]

Answer:

63 inches

Step-by-step explanation:

1 foot is 12 inches. 12×5 then add 3= 63

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3 years ago

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