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andrezito [222]
3 years ago
5

Consider two events such that P(A) = start fraction one over four end fraction, P(B) = start fraction two over five end fraction

, and P(A ∩ B) = start fraction one over 10 end fraction full stop. Are events A and B independent events?
Mathematics
2 answers:
k0ka [10]3 years ago
4 0

Answer:

Yes they are independent events

Step-by-step explanation:

In order to solve this, you need to first know the definition of probability of independent event.

two events are independent if the incidence of one event does not affect the probability of the other event. When that occurs, the expression or formula to calculate is the following:

P(A∩B) = P(A) * P(B)

So, in order to see if A and B are independent, let's see how the calculations do with the data provided

P(A∩B) = P(A) * P(B) = 1/4 * 2/5 = 2/20 = 1/10

Therefore, A and B are independent events

Ainat [17]3 years ago
3 0

Answer:

yes they are independent

Step-by-step explanation:

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svet-max [94.6K]

The volume of the sphere will be 49π cubic cm. Then the correct option is C.

<h3>What is the volume of the sphere?</h3>

Let r be the radius of the sphere.

Then the volume of the sphere will be

V = 4/3 πr³ cubic units

The figure shows a vertical cross-section of a sphere inscribed in a right cone.

A vertical cross-section of a sphere inside a cone has a radius labeled as r. The height of the cone is 12 centimeters. The half length of the face of the cone is 5 centimeters.

Then the volume of the sphere will be

In ΔADF, we have

tan a = 5 / 12

      a = 22.61°

Then in triangle ΔABC, we have

   sin 22.61° = r / (12 - r)

           0.38 = r / (12 - r)

4.62 - 0.38r = r

           1.38r = 4.62

                  r = 3.34 cm

Then the volume of the sphere will be

V = 4/3 π(3.34)³

V = 49π cubic cm

Then the correct option is C.

More about the volume of the sphere link is given below.

brainly.com/question/9994313

#SPJ1

8 0
2 years ago
The table shows the proportion of US e-commerce revenue for 2016–2018 for each day of Thanksgiving weekend.
scoray [572]

Answer:

The greatest proportion of 2018 e-commerce revenue came on Cyber Monday, contributing one-third of the total 2018 e-commerce revenue. This statement is  <u>✔ correct.</u>

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Of 2016’s e-commerce revenue, $25 billion came on Black Friday. This statement is  <u>✔ incorrect— “25 percent” should replace “$25 billion.”</u>

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7 0
3 years ago
Help pls
PtichkaEL [24]
It’s 17 i’m pretty sure because 20+ 5 is 25 and 25 - 10 is 15 then 15+5=20 and 20-3 is 17
7 0
2 years ago
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On monday jan made withdrawals of 25 45 75 from her savings account. On the same day her twin sister julie made withdrawals of 3
marissa [1.9K]

Answer:

(-25) + (-45) + (-75)

-145

Step-by-step explanation:

Given that :

jan made withdrawals of 25 45 75 from her savings account

Sum of negative integers to show Jan's withdrawals :

Expression to showing sun of negative integers to represent Jan's withdrawals :

(-25) + (-45) + (-75)

The result of the sum will give the total amount of Jan's withdrawal.

(-25) + (-45) + (-75) = - 145

Hence, total amount Jan withdrew is - 145

6 0
3 years ago
Please help!! Cause I’m not smart
Reika [66]

Answer:

The answer is B

Step-by-step explanation:

5 0
3 years ago
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