1/2a+(−7)+1/2a+ 1/3 <br> what is the value of A?

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

3 0

3 years ago

A square with one side length represented by an expression is shown below

crimeas [40]

It is mentioned in the problem that the shape is a square, hence, we could say that all side's measurement is the same and it is equal. It can be written in a different arrangement of terms, but still, the value to be solved is the same. The sides can be written in the following forms:
S1=6(3X+8)+32+12X
S2=18X+48+32+12X
S3=18X+80+12X
S4=30X+80

3 0

3 years ago

A high school football team won 80% of the games they played. If they played 35 games, how many games did they win?

crimeas [40]

Step-by-step explanation:

$formuale \\ \%wom = total \: win \: \times 100\% \div total \: matches \: played$

let x be total much won

$80\% = x \times 100\% \div 35 \\ x= 35 \times 80 \div 100 \\ x = 7 \times 4 \\ x = 28$

so they team had won 28 matches.

I hope the team has best players : )

8 0

3 years ago

Pls help need it ASAP can’t figure it out

Pie

Answer:

-25

Step-by-step explanation:

10^2 ÷ -2^2 = -25

That's why the answer is -25.

4 0

2 years ago

Find the equation of a line through B(5,2) which is perpendicular to the line 3x+5=0. Hence find the coordinate of the foot of t

Oduvanchick [21]

Answer:

y=2, the equation of a line which is perpendicular to the line 3x+5=0

A(-5/3,2) the foot of the perpendicular from B to the line

Step-by-step explanation:

d1 : 3x+5=0, so 3x=-5, x=-5/3

y=2, the equation of a line which is perpendicular to the line 3x+5=0

A(-5/3,2) the foot of the perpendicular from B to the line

3 0

3 years ago

1/2a+(−7)+1/2a+ 1/3 what is the value of A?