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natita [175]
3 years ago
9

Can some one plzzz help me

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Since we are given that f(x)=1, we just have to find what value of x gives 1 as the result.

From the graph, we can see that (0,1) gives 1 as a y-value. Thus, when x is 0, y is 1.

Therefore, f(0)=1.

So, our answer is B.

And we're done!

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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

3 0
3 years ago
What is the perimeter of a square with a length of 19 meters?
lord [1]
The answer is b 38cm
4 0
3 years ago
Read 2 more answers
After flying between two black holes, our engines have been a bit janky. The probability of one of any of our 8 power couplings
otez555 [7]

Answer:

Step-by-step explanation:

We would apply the formula for binomial distribution. It is expressed as

P(x = r) = nCr × q^(n - r) × p^r

Where

p represents probability of success

q represents probability of failure.

n represents number of sample.

From the information given,

p = 10% = 10/100 = 0.1

q = 1 - q = 1 - 0.1 = 0.9

n = 8

1)The probability that none fails is

P(x = 0) = 8C0 × 0.9^(8 - 0) × 0.1^0

P(x = 0) = 0.43

2) The probability that one fails is

P(x = 1) = 8C1 × 0.9^(8 - 1) × 0.1^1

P(x = 1) = 0.38

3) The probability that four fails is

P(x = 4) = 8C4 × 0.9^(8 - 4) × 0.1^4

P(x = 4) = 0.0046

3) The probability that six fails is

P(x = 6) = 8C6 × 0.9^(8 - 6) × 0.1^6

P(x = 6) = 0.00002268

4) The probability that eight fails is

P(x = 8) = 8C8 × 0.1^(8 - 8) × 0.1^8

P(x = 8) = 0.00000001

5 0
3 years ago
Blue paper chains 4 inches long. Red paper chains are 3 inches long. How many are needed to have 10 inches of paper chains?
bixtya [17]

1 blue paper chain and 2 red paper chains

7 0
3 years ago
Read 2 more answers
The scale of a map in Florida is 1.25 inches = 100 miles. Orlando and Miami are 235 miles apart. How far apart are Orlando and M
Mariana [72]

Answer:

2.94 inches

Step-by-step explanation:

235*1.25=293.75, 293.75/100=2.9375

rounded to the nearest hundredth is 2.94

5 0
2 years ago
Read 2 more answers
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