Answer:
General admissions sold: 880
Reserved seating sold: 256
Step-by-step explanation:
Set up equation:
Variable x = people who bought general admission
Variable y = people who bought reserved seating
x + y = 1136
5x + 7y = 6192
Isolate a variable in any equation:
Y = 1136 - x
Substitute the value of the variable in the other equation:
5x + 7(1136 - x) = 6192
5x + 7952 - 7x = 6192
-2x + 7952 = 6192
-2x = -1760
x = 880
Substitute the value of x in any equation:
880 + y = 1136
y = 256
Check your work:
880 + 256 = 1136
1136 = 1136
Correct!
5(880) + 7(256) = 6192
4400 + 1792 = 6192
6192 = 6192
Correct!
Answer:
The required probability is 0.9916
Step-by-step explanation:
Consider the provided information.
If 45% of cars are traveling in excess of 70mph,
Therefore, p = 0.45
q = 1-p = 1-0.45 = 0.55
8 random cars are measured via radar: n = 8
We need to find at least 1 car is going over 70mph.
According to binomial distribution:
We need to find P(X≥1)
Hence, the required probability is 0.9916
Answer:
10%
Step-by-step explanation:
5 is 10% of 50.
Actually Welcome to the Concept of the Linear equations.
Let the number of bicycles = x
and number of tricycles = y
the relationship given is,
x = 5y-1
number of wheels of bicycle = 2x and of tricycles=3y
and other relation is, 2x+3y = 154
so now substituting we get as,
==> 2(5y-1) +3y= 154
10y-2+3y = 154
13y = 154+2
=> y = 12
=> 12*3 = 36 wheels of tricycles
so, 154-36 => 118 wheels of the bicycle.
so the number of bicycles = 118/2 = 59
hence,
==> number of bicycles = 59 and tricycles = 12
Answer:
A
Step-by-step explanation:
Hihi. So, this is a nice application of interest rates as well as properties of exponentials/logarithms. As you know, the basic equation for interest rates is A= Pe^(rt) where A is your final amount, P is your initial, r is your rate of interest, and t is the time the money was accumulating interest. After cleaning up, you get in a situation due to you having e still lying around. Luckily, if you take the natural log of e, all you have left behind is the previous exponent. Thus, you can take the natural log of both sides, divide by 4, and then simplify to see that your final interest rate is ~6%