Answer:
= 5/n + 3
Step-by-step explanation:
Given that:
=5/n+1 × n+1/n+3
Number 1: 5/n+1
Number 2: n+1/n+3
By simplifying the given product in eq1:
=5/n+1 × n+1/n+3
The denominator of first fraction will be cancelled by the numerator of second fraction and will give:
= 5/n + 3
This is the simplified product.
i hope it will help you
Answer: (a)0.8145
(b) 0.99951875
Step-by-step explanation:
Binomial probability formula to find the probability of getting success in x trials :-
, where n is the total number of trials and p is the probability of success in each trial.
Given : The probability that the electronic production line yields satisfactory parts =0.95
The number of parts tested = 4
(a) The probability that all parts tested are satisfactory:-
![P(4)=^4C_4(0.95)^4(0.05)^{0}=(0.95)^4=0.81450625\approx0.8145](https://tex.z-dn.net/?f=P%284%29%3D%5E4C_4%280.95%29%5E4%280.05%29%5E%7B0%7D%3D%280.95%29%5E4%3D0.81450625%5Capprox0.8145)
(b) The probability that at least two parts are satisfactory :-
![P(x\geq2)=1-P(x\leq1)=1-(P(0)+P(1)))\\\\=1-(^4C_0(0.95)^0(0.05)^{4}+^4C_1(0.95)^1(0.05)^{3})\\\\=1-((0.05)^{4}+4(0.95)(0.05)^3)=0.99951875\approx0.9995](https://tex.z-dn.net/?f=P%28x%5Cgeq2%29%3D1-P%28x%5Cleq1%29%3D1-%28P%280%29%2BP%281%29%29%29%5C%5C%5C%5C%3D1-%28%5E4C_0%280.95%29%5E0%280.05%29%5E%7B4%7D%2B%5E4C_1%280.95%29%5E1%280.05%29%5E%7B3%7D%29%5C%5C%5C%5C%3D1-%28%280.05%29%5E%7B4%7D%2B4%280.95%29%280.05%29%5E3%29%3D0.99951875%5Capprox0.9995)
Answer:
29 lbs of potatoes
Step-by-step explanation:
$45 divided by 5 lbs = 9 ($9 per lb)
$261 divided by 9 = 29
Hello! I can help you! First things first, because they are both the same angles on opposite sides, let's set this up in the form of an equation and solve for "x". It would be set up like this:
2x + 20 = 3x - 30
You see up top that it says 2(x + 10). What you would do is multiply what's in the parenthesis by 2, in order to get 2x + 20. Then put the equal sign and write 3x - 30. Subtract 3x from both sides to get -1x + 20 = -30. Subtract 20 from both sides to get -1x = -50. Divide each side by -1 to isolate the "x". In this case, because you are dividing a negative number by a negative number, your quotient will be positive. -50/-1 is 50. Let's plug in the value as "x" and see if it works. 50 * 2 is 100. 100 + 20 is 120. 50 * 3 is 150. 150 - 30 is 120. 120 = 120. There. x = 50.