D is your answer for your question
Answer:
Step-by-step explanation:
Given that
Area of a circle 
Circumference of the circle 
Let us re-write the equation of area of circle:


Multiplying and dividing with 2:

Hence, <em>A</em> in terms of <em>C</em> can be represented as:

There are a total of 33 students in the class (21+12=33). There are 12 boys in the class so the chance of drawing a boys name would be 12/33 which reduces to 4/11. This means you will draw a boys name 4 times for every 11 draws. To find the percent probability, just divide...
4/11 =.3636
multiply by 100 to convert to a percentage ( move decimal to the right 2 places).
.3636 = 36.36%
There is a 36.36% chance that a boys name is drawn.
Answer:
Area under the normal curve: 0.6915.
69.15% probability of putting less than 24 ounces in a cup.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

You have been asked to calculate the probability of putting less than 24 ounces in a cup.
pvalue of Z when X = 24. So



has a pvalue of 0.6915
Area under the normal curve: 0.6915.
69.15% probability of putting less than 24 ounces in a cup.
Answer:
C. 3
Step-by-step explanation:
2/5 x = 6/5
Multiply each side by 5/2 to isolate x
5/2 * 2/5 x = 6/5 * 5/2
x = 6/2
x=3