I'll do this step-by-step. Note, ratios are basically division signs.
The ratio of cars to motorcycles in a parking lot is 10:3, which means there are 10 cars for every 3 motorcycles.
The ratio of motorcycles to vans is 2:3, there are 2 motorcycles for every 3 vans.
There are 30 vans, so there are 20 motorcycles, since 20 motorcycles:30 vans is equal to 2 motorcycles: 3 vans in fractions. (20 / 30 = 2 / 3)
So, the ratio of cars represented by x to the number of motorcycles, 20 can be written as x / 20 = 10 / 3. 10 / 3 is 3.333, meaning 3.333 cars per 1 motorcycle, so multiply 20 by 3.333 to get x, which is 66. There are 66 cars and 30 vans, so there are 33 more cars than vans in the parking lot. 66/20 = 10/3, both have a ratio of 3.33 when divided.
If you don't want the explanation, there are 33 more cars than vans in the parking lot.
The probability that a student scored less than 55% on the exam is 0.134%.
<h3>What is a normal distribution?</h3>
It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We have:
Mean of the sample = 70
Standard deviation = 5
= P(X<55%)
Z = (55-70)/5
Z = -3
P(X < -3)
From the Z table:
P(x<-3) = 0.0013499
or
P(x<-3) = 0.134%
Thus, the probability that a student scored less than 55% on the exam is 0.134%.
Learn more about the normal distribution here:
brainly.com/question/12421652
#SPJ1
Answer:
Part a
For this case n = 4. If we use the future value formula we got:
Part b
For this case n = 365. If we use the future value formula we got:
Step-by-step explanation:
We can use the future vaue formula for compound interest given by:
Where P represent the present value, r=0.0675 , n is the number of times that the interest is compounded in a year and t the number of years.
Part a
For this case n = 4. If we use the future value formula we got:
Part b
For this case n = 365. If we use the future value formula we got:
60 I believe I hope this helps if it was right :)
Answer:
<h2>x = -1.5 or x = 2</h2>
Step-by-step explanation:
