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In-s [12.5K]
3 years ago
14

Conditional probability. please help! ​

Mathematics
1 answer:
worty [1.4K]3 years ago
7 0

Answer:

a. 0.06

b. 0.2

Step-by-step explanation:

a. P(B given A) = P(A and B) / P(A)

0.1 = P(A and B) / 0.6

P(A and B) = 0.06

b. P(A given B) = P(A and B) / P(B)

P(A given B) = 0.06 / 0.3

P(A given B) = 0.2

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Simplify the expression:<br>3(7r + 1) =​
kozerog [31]

Answer:

21r +3

Step-by-step explanation:

3(7r + 1) =​

Distribute

3*7r +3*1

21r +3

8 0
4 years ago
Read 2 more answers
A body moves s metres in a time t seconds so that s = t3 – 3t2 + 8. Find:
Lady bird [3.3K]

Using derivatives, it is found that:

i) v(t) = 3t^2 - 6t

ii) 9 m/s.

iii) a(t) = 6t - 6

iv) 6 m/s².

v) 1 second.

<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>
  • The velocity is the derivative of the position.
  • The acceleration is the derivative of the velocity.

In this problem, the position is:

s(t) = t^3 - 3t^2 + 8

item i:

Velocity is the <u>derivative of the position</u>, hence:

v(t) = 3t^2 - 6t

Item ii:

v(3) = 3(3)^2 - 6(3) = 27 - 18 = 9

The speed is of 9 m/s.

Item iii:

Derivative of the velocity, hence:

a(t) = 6t - 6

Item iv:

a(2) = 6(2) - 6 = 6

The acceleration is of 6 m/s².

Item v:

t for which a(t) = 0, hence:

6t - 6 = 0

6t = 6

t = \frac{6}{6}

t = 1

Hence 1 second.

You can learn more about derivatives at brainly.com/question/14800626

7 0
2 years ago
Ms. Novas bought 3 pounds of jelly beans. She kept 8 ounces for her family and gave the rest to her friends. She gave each frien
Yuki888 [10]

Answer:

A = 40/n

Therefore, she gave each friend 40/n ounces of jelly beans.

Step-by-step explanation:

Given;

Total amount of jelly beans To = 3 pounds = 3×16 ounces = 48 ounces

Total amount kept for family Ta = 8 ounces

Total amount given to friends = Ti

Number of friends = n

Amount given to each friend = A

Ti = To - Ta

A = Ti/n = (To-Ta)/n

A = (48 - 8)/n

A = 40/n

Therefore she gave each friend 40/n ounces of jelly beans.

4 0
3 years ago
Read 2 more answers
Find the size of deb
Akimi4 [234]

Answer:

4x + 3 = 6x - 53 \\ 6x - 4x = 3 + 53 \\ 2x = 56 \\ x =  \frac{56}{2}  = 28

8 0
3 years ago
15. Apply Mathematics (1)(A) Suppose you have a box with a 4 X 4-in.
erastova [34]

Answer:

Step-by-step explanation:

Formula for calculating the surface area of the box S = 2(LW+LH+WH) where

L is the length of the box

W is the width of the box

H is the height of the box

If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;

S = 2(4(4)+4H + 4H)

S = 2(16+8H)

S = 32+16H

<em>Hence, The function that represents the surface area of this box as a </em>

<em>function of its height is S = 32+16H where H is the height of the box</em>

<em></em>

Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;

S = 32+16H

S = 32+16(6.5)

S = 32+106

<em>S = 138in²</em>

<em>Hence the total surface area of the box is 138in²</em>

5 0
3 years ago
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