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2 years ago

(4x-y=-15)(3x-2y=-10)

Mathematics

1 answer:

Andreyy892 years ago

5 0

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}4x-y=-15&\text{multiply both sides by (-2)}\\3x-2y=-10\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-8x+2y=30\\3x-2y=-10\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-5x=20\qquad\text{divide both sides by (-5)}\\.\qquad\qquad\boxed{x=-4}\\\\\\\text{Put the value of x to the first equation.}\\\\4(-4)-y=-15\\-16-y=-15\qquad\text{add 16 to both sides}\\-y=1\qquad\text{change the signs}\\\boxed{y=-1}$

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On Texas Avenue between University Drive and George Bush Drive, accidents occur according to a Poisson process at a rate of thre

Zarrin [17]

Answer:

(a) The probability is 0.6514

(b) The probability is 0.7769

Step-by-step explanation:

If the number of accidents occur according to a poisson process, the probability that x accidents occurs on a given day is:

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

Where a is the mean number of accidents per day and t is the number of days.

So, for part (a), a is equal to 3/7 and t is equal to 1 day, because there is a rate of 3 accidents every 7 days.

Then, the probability that a given day has no accidents is calculated as:

$P(x)=\frac{e^{-3/7}*(3/7)^{x}}{x!}$

$P(0)=\frac{e^{-3/7}*(3/7)^{0}}{0!}=0.6514$

On the other hand the probability that February has at least one accident with a personal injury is calculated as:

P(x≥1)=1 - P(0)

Where P(0) is calculated as:

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

Where a is equivalent to (3/7)(1/8) because that is the mean number of accidents with personal injury per day, and t is equal to 28 because 4 weeks has 28 days, so:

$P(x)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{x}}{x!}$

$P(0)=\frac{e^{-(3/7)(1/8)(28)}*((3/7)(1/8)(28))^{0}}{0!}=0.2231$

Finally, P(x≥1) is:

P(x≥1) = 1 - 0.2231 = 0.7769

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3 years ago

How many square inches of tin are needed to make the top of a can that is 10 inches in diameter? A) 62.8 in2 B) 78.5 in2 C) 227

Xelga [282]

Area of a circle = PI*radius^2
10 inch diameter = 5 inch radius
Area = PI* 5^2
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2 years ago

Read 2 more answers

A rental car agency charges $30.00 per day

lutik1710 [3]

<h2>Answer:</h2><h2>They should travel 120 mils in one day for both rental agencies to cost the same amount to rent</h2>

Step-by-step explanation:

A rental car agency charges $30.00 per day plus per mile $0.15.

Let x be the number of miles travelled by car

Their total cost = 30 + (0.15x) ... (1)

Another rental car agency charges $36.00 per day plus $0.10 per mile

Their total cost = 36 + (0.10x) ... (2)

Equating (1) and (2), we get

30 + (0.15x) = 36 + (0.10x)

36 - 30 = 0.15x - 0.10x

6 = 0.05x

x = 120 miles

They should travel 120 mils in one day for both rental agencies to cost the same amount to rent

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torisob [31]

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Alexxx [7]

Answer:

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3 years ago

(4x-y=-15)(3x-2y=-10)​

(4x-y=-15)(3x-2y=-10)