Answer:
85%
Step-by-step explanation:
If she got 3 wrong then it means she got 20-3 right, so she got 17 questions right.
From there we get the fraction: 17/20
To make the a percentage we times both the top and bottom by 5 (because 20 x 5 = 100)
By doing that we get 17x5/20x5
= 85/100
That is equal to 85%
Answer:
260,000
Step-by-step explanation:
The value decreases by 40,000 per year (500000-42000/2 years) the value will decrease by 240000 in six (4 years plus 2 years already passed) years. 6 x 40,000 =240000
So, the value should be 260,000 (500000-240000)
Or
year 1 500000-40000=460000
year 2 460000-40000=420000
year 3 420000-40000=380000
year 4 380000-40000=340000
year 5 340000-40000=300000
year 6 300000-40000=260000
Answer:
3/5
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
the theoretical probability that the movie is not a comedy = number of movies that are not comedies / total movies available
12/ 20 = 3/5
Answer:
B. 147 feet
Step-by-step explanation:
We can easily imagine a right triangle for this problem. The height of the triangle is what we're looking for (x), at the bottom of x, we have the right angle formed by the building and the ground. The other side of that right angle is the distance to the car (300 ft). On top of the x side, we have the angle of 63 degrees looking down, since Craig is looking down by 27 degrees (90 - 27 = 63).
We can easily apply the Law of Sines that says:

Then we can isolate c and fill in the values:

So, we know Craig's eyes are 153 feet above ground... since Craig is 6 feet tall, the balcony sits at 147 feet high (153 - 6 = 147).
Answer:
3 log (z) - 1/2log (x) - 1/2 log (5) -1/2 log y
Step-by-step explanation:
log(z3)/√x5y)
= log (z3) - log (√x5y) [division being subtracted]
= 3 log (z) - {log (√x) + log (√5y)} [ multiplication being added in the denominator]
= 3 log (z) - {log (x)^1/2 + log (5)^1/2+ log (y)^1/2}
= 3 log (z) - 1/2{log (x) + log (5)+ log y }
We can solve inside the curly bracket and then multiply with 1/2 or we can solve it separately
= 3 log (z) - 1/2log (x) - 1/2 log (5) -1/2 log y
How does this work?
1) any two terms being multiplied in logarithms are added with the log of each.
2) the exponent becomes the co- efficient.
3) any two terms being divided in logarithms are subtracted with the log of each