<h3>
Answer: 0.8704</h3>
Explanation:
40% of the bulbs are pink, 60% are red
the probability of picking pink is 0.40 and the probability of not picking pink is 0.60
The chances of getting 4 non-pink in a row is 0.6*0.6*0.6*0.6 = 0.6^4 = 0.1296
The complement to this event is getting at least one pink bulb, which has a chance of 1-0.1296 = 0.8704
0.8704 converts to 87.04%
Answer:
Length of the ladder used by worker = 17 feet
Step-by-step explanation:
Given:
Height of the window from the ground = 13 ft
Distance of fence from the building = 3 ft
Distance of ladder from the building = (3+8) = 11 ft
We have to find the length of the ladder.
Let the length of the ladder be 'x'
From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.
Using Pythagoras formula:
⇒ 
Here base length = 11 ft
Perpendicular = 13 ft
Plugging the values:
⇒
⇒ 
⇒ 
⇒
feet
The length of the ladder = 17 feet to its nearest tenth.
Answer:
Step-by-step explanation:
The orange divisor(s) above are the prime factors of the number 1,620. If we put all of it together we have the factors 2 x 2 x 3 x 3 x 3 x 3 x 5 = 1,620. It can also be written in exponential form as 22 x 34 x 51.
<u>Answer:</u>
cubic feet
<u>Step-by-step explanation:</u>
We are given that the weight of water is 62 and one half lb per cubic foot and we are to find the number of cubic feet that would be occupied by 180 lb of water.
For that, we will divide total amount of water by per unit weight of water:
Cubic feet occupied by 180 lb of water =
= 2.88 cubic feet or
cubic feet
Answer: 8√3
<u>Step-by-step explanation:</u>
ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b. So,
VW = b
XW = b√3
XV = 2b
Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,
24 = b√3

= b
= b
= b
8√3 = b
We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3