Answer:So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places.

7 0

2 years ago

PLz answer before 11:59 pm

Tpy6a [65]

Answer:

SA = 2520 ft^2

Step-by-step explanation:

a = 21ft

b = 29ft

c = 20ft

h = 30ft

SA = 2 $A_{B}$ + (a+b+c)h

$A_{B}$ = s(s﹣a)(s﹣b)(s﹣c)

s = $\frac{a + b + c}{2}$

SA= ah + bh + ch + $\frac{1}{2}$ $\sqrt{-a^4 + 2(ab)^2 + 2(ac)^2 - b^4 + 2(bc)^2 - c4}$

SA= (21 * 30) + (29 * 30) + (20 * 30) +

$\frac{1}{2}$ $\sqrt{-(21)^4 + 2(21 * 29)^2 + 2(21 * 20)^2 - (29)^4 + 2(29 * 20)^2 - (20)^4}$

SA = 2520 ft^2

6 0

2 years ago

The denominator of a fraction is 10 more than its numerator.

Dennis_Churaev [7]

The right answer is Option C : 5

Step-by-step explanation:

Let,

The numerator of fraction = x

The denominator of a fraction is 10 more than its numerator.

$\frac{x}{x+10}$

When 1/3 is added to this fraction,

$\frac{x}{x+10}+\frac{1}{3}$

the resulting fraction’s denominator is three times the denominator of the original fraction its numerator is 15 less than its denominator

$\frac{3(x+10)-15}{3(x+10)}$

Therefore, it becomes

$\frac{x}{x+10}+\frac{1}{3} = \frac{3(x+10)-15}{3(x+10)}$

Taking LCM on left side

$\frac{3x+(x+10)}{3(x+10)}=\frac{(3x+30)-15}{3(x+10)}\\\\\frac{3x+x+10}{3(x+10)}=\frac{3x+30-15}{x(x+10)}\\\\\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}$