This can be solved by using the normal approximation to the binomial distribution.
mean = np = 10.000 * 0.5 = 5,000
The standard deviation is given by:
The probability of obtaining more than 5100 tails is 0.0228 and the probability of obtaining fewer than 5100 tails is 0.9772.
The odds of obtaining more than 5100 tails is therefore:
0.0228:0.9772 = 1:42.86.
<span>
c. x − 9y ≤ 1 is the inequality having a </span><span>shaded area above its graph.The line separating the shaded part will be a solid line as the inequality involves equals to sign.
See the attachment for the graph.</span>
Answer:
26.12
Step-by-step explanation:
The original price plus the markup equals the new price
The markup is equal to the original price times 25%
original price + original price * 25% = new price
Factor out the original price
original price (1+25%) = new price
Changing to decimal form
original price (1+.25) = new price
original price (1.25) = new price
Divide each side by 1.25
original price (1.25)/1.25 = new price/1.25
original price = new price/1.25
The new price is 32.65
original price = 32.65/1.25
original price =26.12
Since quadratic coefient is 1 (term in front of x^2)
take 1/2 of linear cofient (12) and square it
12/2=6, 6^2=36
add that to both sides
x^2+12x+36=-11+36
factor perfect square
(x+6)^2=25
sqrt both sides and take positiv and negative roots
x+6=+/-5
minus 6 both sides
x=-6+/-5
x=-6+5 or x=-6-5
x=-1 or -11
answer is {-11,-1}
