(√5 + 3)² / √20=
((√5 + 3)² / √20)(√20/√20)=
(√20(√5 + 3)²) / (√20)²=
√20(5+6√5+9) /20=
√20 (14+6√5) /20=
(14√20 +6√100) /20=
(14√20 +60) / 20=
(14(√4√5) + 60) /20=
(14(2)(√5)+60) / 20=
(28√5+60) /20=
(7√5+15) / 5
Answer:(√5 + 3)² / √20= <span>(7√5+15) / 5</span>
1/2 (a+b)h
1/2 (a+16)14=132
8×14=112
14÷2=7
132-112=20
20÷7 =2.857142857
so then a= 2.86 (3sf)
For more questions like that turn it into equation the make a subject of formula
Let the number of minutes be = x.
Cost per minute = 11 cents = 0.11
Phone Bill = Monthly fee + 0.11* x
Substituting from the question
20.82 = 3 + 0.11x
3 + 0.11x = 20.82
0.11x = 20.82 - 3
0.11x = 17.82
x = 17.82/0.11
x = 162
<span>Lamar was billed for 162 minutes.</span>
Answer:
The greatest common factor is 1
Step-by-step explanation:
The factors of 4 are: 1, 2, 4
The factors of 6 are: 1, 2, 3, 6
The factors of 45 are: 1, 3, 5, 9, 15, 45
Then the greatest common factor is 1.
Answer:
Correct option: A. P=0.057
Step-by-step explanation:
<u>Binomial Distribution</u>
The binomial distribution fits the case of n independent events each one with a probability of success equal to p where k successes have been achieved.
The PMF (Probability Mass Function) of the binomial distribution is

Where 
The individual probability that an electronic device does not function properly is p=0.1. We know n=10 devices have been bought and we want to compute the probability that 7 devices function properly. Please notice that this is not the value of k since p is the probability of failure. The correct value of k=10-7=3. The required probability is

