Answer:
Expected number of free throws in 60 attempts:
Best player = 48
2nd best player = 45
3rd best player = 42
Step-by-step explanation:
Solution:-
- The probability that best player makes free throw, p1 = 0.8
- The probability that second-best player makes free throw, p2 = 0.75
- The probability that third-best player makes free throw, p3 = 0.70
- Total number of attempts made in free throws, n = 60.
- The estimated number of free throws that any player makes is defined by:
E ( Xi ) = n*pi
Where, Xi = Player rank
pi = Player rank probability
- Expected value for best player making the free throws would be:
E (X1) = n*p1
= 60*0.8
= 48 free throws
- Expected value for second-best player making the free throws would be:
E (X2) = n*p2
= 60*0.75
= 45 free throws
- Expected value for third-best player making the free throws would be:
E (X3) = n*p3
= 60*0.70
= 42 free throws
(a) The integral is equal to the area of the triangle; it has height 20 and base 10, so the area is 20*10/2 = 100.
(b) The integral is equal to the area of the semicircle with radius 10. It's also under the horizontal axis, so the area is negative. The semicircle has area 
, so the integral is -50π.
(c) First compute
which is the area of the triangle on the right. It has height and base 5, so its area is 25/2.
Then split up the desired integral as
and plug in the integral values you know:
12 x 8= 96
10 x 8 =80
12 × 10= 120
120+80+96= 296
Answer:
Step-by-Step Solution
0.4 = 2/5 as a fraction
To convert the decimal 0.4 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
0.4 = 0.41
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,
0.41 = (0.4 × 10)(1 × 10) = 410.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(4,10) = 2. So,
(4÷2)(10÷2) = 2/5 when reduced to the simplest form.
If an atom has a let's say, +2 charge, it will mean that the atom has two more protons than electrons. Protons have +1 charges and electrons have -1 charges. So, said this, if you had one more proton than an electron, it would be a -1 charge. Because of this, if an atom had a +1 charge, it would have to have one more proton than electrons. So, the answer could be "the atom must have 22 electrons" but, the question is sort of vague? It could really be anything.
