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Umnica [9.8K]
2 years ago
14

When two events are​ independent, the probability of them both occurring is simply the product of their individual probabilities

of occurring?
Mathematics
1 answer:
Sholpan [36]2 years ago
5 0
Yes this is correct.

If event A and event B are independent, then 
P(A and B) = P(A)*P(B)

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Alice purchased 4 1⁄2 kilograms of olive oil for $27. What is the price per kilogram?
vitfil [10]

Hi!

We will solve this using ratios, like this:

4 1/2 = 4,5 kg of olive oil for 27 $

1 kg of olive oil for x $

_____________________________

x = (27*1)/4,5

x = 27/4,5

x = 6 $ per kilogram

Hope this helps!

8 0
2 years ago
Will qamar have enough lacquer to cover the floor below? Please help I have been stuck on this for three days!!!
Vikentia [17]
Well I wish I three days 66
7 0
2 years ago
The diameter of a cartwheel is 2.1 m. Find the distance traveled when it completes 100 revolutions.
Alenkasestr [34]

Answer:

Circumference of wheel=πd

Circumference of wheel =22*2.1/7

Circumference of wheel =6.6 Mrs

It coveres 6.6mtrs in one round

Then in 100 rounds it will take 6.6*100=660mtrs

I think that it

5 0
2 years ago
Vijay has an annual salary of 47,000, and his company pays him twice a month. What is the gross income in each paycheck that Vij
leonid [27]
Alright, so he has an <em>annual </em>salary of 47,000 dollars. Which means that he is paid 47,000 dollars in 12 months. You'll first have to calculate the pay Vijay receives <em>each month</em>, which is \frac{47,000}{12 months}, or about $3,916.67 (I'll round up to 3917 for simplicity). 

Now, he gets paid twice a month. So each paycheck is half of $3917. 3917 x (1/2) = $1958.50. 

So each paycheck should be $1958.50 (this is a rounded figure). 
6 0
2 years ago
The mean GPA of student in a course at UCDevis is 3.2 with a standard deviation of 0.3. What percent of student in a course have
Orlov [11]

Answer:

81.86%

Step-by-step explanation:

We are given that the mean GPA of students in a course at UC Davis is 3.2 with a standard deviation of 0.3.

Assuming that the data follows normal distribution.

Let X = GPA of students in a course at UC Davis

So, X ~ Normal()

The z score probability distribution for normal distribution is given by;

                              Z  =   ~ N(0,1)

where,  = population mean GPA = 3.2

           = standard deviation = 0.3

Now, the probability that the students in the course have a GPA between 2.9 and 3.8 is given by = P(2.9 < X < 3.8)

       P(2.9 < X < 3.8) = P(X < 3.8) - P(X  2.9)

       P(X < 3.8) = P(  <  ) = P(Z < 2) = 0.97725

       P(X  2.9) = P(    ) = P(Z  -1) = 1 - P(Z < 1)

                                                        = 1 - 0.84134 = 0.15866

The above probability is calculated by looking at the value of x = 2 and x = 1 in the z table which has an area of 0.97725 and 0.84134 respectively.

Therefore, P(2.9 < X < 3.8) = 0.97725 - 0.15866 = 0.8186

Hence, 81.86% of students in the course have a GPA between 2.9 and 3.8.

5 0
2 years ago
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