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jeka94
3 years ago
13

Page 1

Mathematics
1 answer:
Nadya [2.5K]3 years ago
4 0

Answer:

eweweweweweewwe

Step-by-step explanation:

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6. 10 ^{3} ⇒ Ten to the third power

7. 10 ^{5} ⇒ Ten to the fifth power
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What is 4/5 hour = Seconds
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Blue Cab operates 15% of the taxis in a certain city, and Green Cab operates the other 85%. After a nighttime hit-and-run accide
NikAS [45]

Answer: The required probability is 0.414.

Step-by-step explanation:

Since we have given that

Probability of taxis in a certain city by Blue Cab P(B)= 15%

Probability of taxis by Green Cab P(G) = 85%

Let A be the event that eyewitness said that vehicle was blue.

P(A|B)=0.80

P(A|G)=0.80

P(A'|B)=0.20=P(A'|G)

Using the "Bayes theorem":

Probability that the taxi at fault was blue is given by

=\dfrac{P(B).P(A|B)}{P(B).P(A|B)+P(G).P(A'|G)}\\\\=\dfrac{0.15\times 0.8}{0.15\times 0.8+0.85\times 0.2}\\\\=\dfrac{0.12}{0.12+0.17}\\\\=\dfrac{0.12}{0.29}\\\\=0.414

Hence, the required probability is 0.414.

8 0
3 years ago
If i save $150 a week for 4 months how much with i have
andreev551 [17]
You will have $150 x 16 - considering there are usually 4 weeks in a month. So you will have $2,400. Hope this helps!
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3 years ago
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Based on a​ survey, assume that ​31% of consumers are comfortable having drones deliver their purchases. Suppose that we want to
CaHeK987 [17]

Answer:

P(X = 2) = 0.3157

Step-by-step explanation:

Let assume that the question wants us to determine the probability that, let say when 5 customers are randomly selected, exactly 2 of the customers are comfortable.

Then;

p = 0.31

n = 5; x = 2

q = 1 - p

= 1 - 0.31

= 0.69

∴

The probability mass function is:

P(X =x) = ^n C_r * p^x *q^{n-x}

P(X =x) = ^5 C_2 * (0.31)^2 *0.69^{5-2}

P(X =2) = \dfrac{5!}{2!(5-2)!} * (0.31)^2 *0.69^{3}

P(X =2) = \dfrac{5!}{2!(3)!} * (0.31)^2 *0.69^{3}

P(X =2) = \dfrac{5*4*3!}{2!(3)!} * (0.31)^2 *0.69^{3}

P(X =2) = \dfrac{5*4}{2!} * (0.31)^2 *0.69^{3}

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P(X = 2) = 0.3157

3 0
3 years ago
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