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Len [333]
3 years ago
7

Poisson Distribution LEARNING OBJECTIVE: Calculate the probability of a poisson distribution. 3.00 The average number of bridge

construction projects that take place at any one time in a certain state is 7. PIX=k) - 1e - k is the given number of event occurrences A is the average rate of event occurrences Using the Poisson distribution formula, what is the probability of exactly 4 bridge construction projects taking place at one time in this state? Answer choices are rounded to the hundredths place.
a) 0.09
b) 0.19
c) 0.06
d) 0.05
Mathematics
1 answer:
ira [324]3 years ago
5 0

Answer:

the required probability is 0.09

Option  a) 0.09 is the correct Answer.

Step-by-step explanation:

Given that;

mean μ  = 7  

x = 4

the probability of exactly 4 bridge construction projects taking place at one time in this state = ?

Using the Poisson probability formula;

P( X=x ) = ( e^-μ × u^x) / x!

we substitute

P(X = 4) = (e⁻⁷ × 7⁴) / 4!

= 2.1894 / 24

= 0.0875 ≈ 0.09

Therefore the required probability is 0.09

Option  a) 0.09 is the correct Answer.

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Steve can jog 14 miles in 2 hours. At this rate, how many miles can he jog in 1/4 hour?
Assoli18 [71]

Answer:

1  3/4 miles in 1/4 hour.

Step-by-step explanation:

Write and solve an equation of ratios:

 x           (1/4) hr

--------- = ------------

14 mi       2 hr

Cross multiplying, we get 2x = (1/4)(14), or

                                              x = (1/4)(7), or x = 7/4

Steve can jog 7/4 miles in 1/4 hour.  That's 1  3/4 miles in 1/4 hour.

4 0
3 years ago
Read 2 more answers
1/(x-2)+1/(x+3)=1/5 solve the problem for me​
Gennadij [26K]

════════ ∘◦❁◦∘ ════════

<h3>Final value : x² -9x - 11</h3>

════════════════════

<h3>Step by step </h3>

\frac{1}{(x - 2)}  +  \frac{1}{(x + 3)}  =   \frac{1}{5}

\frac{(x + 3) + (x - 2)}{(x - 2)(x + 3)}  =  \frac{1}{5}

\frac{2x + 1}{ {x}^{2} + 3x - 2x - 6 }  =  \frac{1}{5}

\frac{2x + 1}{ {x}^{2}  + x - 6}  =  \frac{1}{5}

2x + 1 = ⅕ × (x² + x - 6)

2x + 1 = ⅕x² + ⅕x - 6/5

1/5x² +1/5x - 2x - 6/5 - 1 = 0

1/5x² -9/5x - 11/5 = 0

x² - 9x - 11 = 0. #times by 5

════════════════════

#Give me brainliest pls im tired typing all of this

8 0
3 years ago
Jen picked 3/4 of a gallon of strawberries in a half an hour.If she keeps picking strawberries at the same rate, how many gallon
sp2606 [1]

Answer:

3 gallons.

Step-by-step explanation:

We have been given that Jen picked 3/4 of a gallon of strawberries in a half an hour.

Let us convert our given time in minutes.

1 hour= 60 minutes.

1/2 hour= 30 minutes.

So 2 hours= 120 minutes.

Let us find the number of gallons of strawberries picked by Jen in 30 minutes by dividing 3/4 by 30.

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{\frac{3}{4} }{30}

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{3}{4*30}

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{1}{40}

Now let us multiply 1/40 by 120 to find the number of gallons of strawberries picked by Jen in 120 minutes(2 hours).

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=120*\frac{1}{40}

\text{The number of gallons of strawberries picked by Jen in 30 minutes}=3

Therefore, Jen picked 3 gallons of strawberries in 2 hours.

8 0
3 years ago
Terrence gets a loan with a $50 processing fee. The loan is for $700 with an interest rate of 8% for one
agasfer [191]

Answer:

15.14%

Step-by-step explanation:

The formula for APR is stated thus:

APR=fees+interest/principal/n*365*100

principal is the loan amount of $700

fees is the processing fees on the loan which is $50

interest amount=principal*interest %=$700*8%=$56

n is the number of days of the loan which is a year i.e 365 days

APR=($50+$56)/$700/365*365*100

APR=$106/$700/365*365*100

APR=0.151428571 /365*365*100

APR=0.151428571 *100=15.14%

The annual percentage rate on the loan is 15.14% which represents the actual cost on the loan not just the interest cost of 8% annually

4 0
4 years ago
PLEASE HELP! WILL GIVE BRAINLIEST!
Anton [14]

Answer:

Graph the function and its parent function. Then describe the transformation. 7.9(x) = x + 4. 8. f(x) = x - 6. 4. 8 x. -4. 48 x ... Write a function g whose graph represents the indicated transformation of the graph of f. ... 96)= 14x+31+2 -2 = 14x+3| ... 33. f(x) = x; translation 3 units down followed by a vertical shrink by a factor of.

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
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