Answer:

Step-by-step explanation:
Given
See attachment for complete question
Required

From the attachment, we have:

---- the sample size
Next, we list out all outcomes more than or equal to 5.
i.e.

5 is represented with the vertical blue rectangle (with frequency 21).
So, the other elements are to the right of frequency 21.
So, we have:


The probability is then calculated as:

This gives


Answer:-4
Step-by-step explanation:
-1 +-4 is -5 and 6/7 + 1/7 =1 so -5 +1=-4
Answer:
Step-by-step explanation:
cos (2α)*sin (α-β)-cos(β-α)*sin(2α)
cos (β-α)=cos {-(α-β)}=cos (α-β)
[cos (-x)=cos x]
sin(α-β)*cos (2α)-cos (α-β)*sin (2α)=sin (α-β-2α)=sin (-α-β)
=sin {-(α+β)}
=-sin (α+β)
Step-by-step explanation: To solve for x in this literal equation, I would first distribute the C through the parentheses to get y = cx + cb.
Now subtract cb from both sides to get y - cb = cx.
Finally, divide both sides by c to get y - cb / c = x.
Answer:
See below in bold.
Step-by-step explanation:
The triangular piece of cloth is a right triangle because 41^2 = 40^2 + 9^2 (By the Pythagoras theorem).
So the area of one piece = 1/2 * 9 * 40 cm^2.
The total amount of cloth required for one umbrella = 10 * 1/2 * 9 * 40
= 1800 cm^2.
The total cost = 1800 * 0.25 = Rs 450.