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3 years ago

Solve for x Please help me with this

Mathematics

2 answers:

Maru [420]3 years ago

7 0

Answer:

hope this helps you look it once.

AfilCa [17]3 years ago

6 0

Answer:

x = 16, x = 17

Step-by-step explanation:

Given a line parallel to a side of a triangle and it intersects the other 2 sides, then it divides those sides proportionally, that is

$\frac{x+8}{20}$ = $\frac{2x-5}{22.5}$ ( cross- multiply )

20(2x - 5) = 22.5(x + 8)

40x - 100 = 22.5x + 180 ( subtract 22.5x from both sides )

17.5x - 100 = 180 ( add 100 to both sides )

17.5x = 280 ( divide both sides by 17.5 )

x = 16

----------------------------------------------------------------

$\frac{2x+8}{28}$ = $\frac{5x-4}{82-28}$ = $\frac{5x-4}{54}$ ( cross- multiply )

28(5x - 4) = 54(2x + 8)

140x - 112 = 108x + 432 ( subtract 108x from both sides )

32x - 112 = 432 ( add 112 to both sides )

32x = 544 ( divide both sides by 32 )

x = 17

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88,999 rounded to the nearest ten thousand

aleksandr82 [10.1K]

89,000 is it for ur question

4 0

3 years ago

Read 2 more answers

The number and frequency of Atlantic hurricanes annually from 1940 through 2007 is shown here:

klio [65]

Answer:

The probability table is shown below.

A Poisson distribution can be used to approximate the model of the number of hurricanes each season.

Step-by-step explanation:

(a)

The formula to compute the probability of an event E is:

$P(E)=\frac{Favorable\ no.\ of\ frequencies}{Total\ NO.\ of\ frequencies}$

Use this formula to compute the probabilities of 0 - 8 hurricanes each season.

The table for the probabilities is shown below.

(b)

Compute the mean number of hurricanes per season as follows:

$E(X)=\frac{\sum x f_{x}}{\sum f_{x}}=\frac{176}{68}= 2.5882\approx2.59$

If the variable X follows a Poisson distribution with parameter λ = 7.56 then the probability function is:

$P(X=x)=\frac{e^{-2.59}(2.59)^{x}}{x!} ;\ x=0, 1, 2,...$

Compute the probability of X = 0 as follows:

$P(X=0)=\frac{e^{-2.59}(2.59)^{0}}{0!} =\frac{0.075\times1}{1}=0.075$

Compute the probability of X = 1 as follows:

$\neq P(X=1)=\frac{e^{-2.59}(2.59)^{1}}{1!} =\frac{0.075\times7.56}{1}=0.1943$

Compute the probabilities for the rest of the values of X in the similar way.

The probabilities are shown in the table.

On comparing the two probability tables, it can be seen that the Poisson distribution can be used to approximate the distribution of the number of hurricanes each season. This is because for every value of X the Poisson probability is approximately equal to the empirical probability.