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grin007 [14]
4 years ago
11

Find the product of 1 3/5 and 8 (show work please tysm)

Mathematics
1 answer:
Virty [35]4 years ago
8 0

Answer:

20 4/5

Step-by-step explanation

13/5 x 8/1 = 104/5= 20 4/5

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Answer the statistical measures and create a box and whiskers plot for the following
Vladimir [108]

Answer:

it goes 5.5.4.7.9.10.10.10.11

Step-by-step explanation:

4 0
3 years ago
Find a number such that 17 less than twice a number is 109.
Mashcka [7]

Answer:

-15

Step-by-step explanation:

2x-17=-47

2x=-47+17

2x=-30

x=-30/2

x=-15

3 0
3 years ago
The average number of annual trips per family to amusement parks in the UnitedStates is Poisson distributed, with a mean of 0.6
IrinaK [193]

Answer:

a) 0.5488 = 54.88% probability that the family did not make a trip to an amusement park last year.

b) 0.3293 = 32.93% probability that the family took exactly one trip to an amusement park last year.

c) 0.1219 = 12.19% probability that the family took two or more trips to amusement parks last year.

d) 0.8913 = 89.13% probability that the family took three or fewer trips to amusement parks over a three-year period.

e) 0.1912 = 19.12% probability that the family took exactly four trips to amusement parks during a six-year period.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Poisson distributed, with a mean of 0.6 trips per year

This means that \mu = 0.6n, in which n is the number of years.

a.The family did not make a trip to an amusement park last year.

This is P(X = 0) when n = 1, so \mu = 0.6.

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.6}*(0.6)^{0}}{(0)!} = 0.5488

0.5488 = 54.88% probability that the family did not make a trip to an amusement park last year.

b.The family took exactly one trip to an amusement park last year.

This is P(X = 1) when n = 1, so \mu = 0.6.

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 1) = \frac{e^{-0.6}*(0.6)^{1}}{(1)!} = 0.3293

0.3293 = 32.93% probability that the family took exactly one trip to an amusement park last year.

c.The family took two or more trips to amusement parks last year.

Either the family took less than two trips, or it took two or more trips. So

P(X < 2) + P(X \geq 2) = 1

We want

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1) = 0.5488 + 0.3293 = 0.8781

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.8781 = 0.1219

0.1219 = 12.19% probability that the family took two or more trips to amusement parks last year.

d.The family took three or fewer trips to amusement parks over a three-year period.

Three years, so \mu = 0.6(3) = 1.8.

This is

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-1.8}*(1.8)^{0}}{(0)!} = 0.1653

P(X = 1) = \frac{e^{-1.8}*(1.8)^{1}}{(1)!} = 0.2975

P(X = 2) = \frac{e^{-1.8}*(1.8)^{2}}{(2)!} = 0.2678

P(X = 3) = \frac{e^{-1.8}*(1.8)^{3}}{(3)!} = 0.1607

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.1653 + 0.2975 + 0.2678 + 0.1607 = 0.8913

0.8913 = 89.13% probability that the family took three or fewer trips to amusement parks over a three-year period.

e.The family took exactly four trips to amusement parks during a six-year period.

Six years, so \mu = 0.6(6) = 3.6.

This is P(X = 4). So

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 4) = \frac{e^{-3.6}*(3.6)^{4}}{(4)!} = 0.1912

0.1912 = 19.12% probability that the family took exactly four trips to amusement parks during a six-year period.

4 0
3 years ago
What is the area of this figure​
MAVERICK [17]

Answer:

57

Step-by-step explanation:

7-3=4

3x4=12/3=4

do that two times because there is two triangles

7x7=49

4+4+49=57

8 0
4 years ago
Read 2 more answers
Alex scored 10 out of 50 in a test. what percentage does this represent?
melisa1 [442]
1/5 is your answer 
Happy to assist you with you math!
3 0
3 years ago
Read 2 more answers
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