Volume of a cylinder is h x r^2 x pi
You have the volume and radius of each one, so taking 188.4=(2)^2 x 3.14 x h1, you can solve this equation for the height h1. Likewise, for the other graduated cylinder you take 314=2^2 x 3.14 x h2, and then solve for h2.
To get the difference in heights, just take h2-h1 after solving the equations for h2 and h1
Answer:
She has 16 friends
Step-by-step explanation:
40 minus 8 is 32 so that divided by 2 is 16
We first calculate Emily's rate by dividing the distance from her home to the post office by the time it took her to travel that distance. From 8:25 to 8:29 (and 30 seconds), there are exactly 4.5 minutes. Thus, the rate is equal to,
r = (0.75 miles) / (4.5 minutes) = 1/6 miles/min
Then, we divide the given distance from her home to school by the calculate rate to determine the total number of minutes it will take her to travel to school.
t = (3.42 miles)/(1/6 miles/min) = 20.52 minutes
Adding this to 8:25 will give us an answer of 8:45 and 31.2 seconds. She will not be late.
In the remaining part of the semester, Zachery wrote an average of 10,000 words per month to complete his final project for the course.
We are given that Zachery has to write a total of 95,234 words.
Total words to be written = 95,234 words.
Words already written in the first month = 35,295 words.
Words already written in the second month = 19,240 words.
Words written in total = 35,295 words + 19,240 words.
= 54,535 words
Words left for writing = 95,234 words - 54,535 words
= 39,699 words
months left = 4
Average Words written in remaining month = 39,699 words / 4
= 9924.75 words.
= 10,000 words.
Therefore, in the remaining part of the semester, Zachery wrote an average of 10,000 words per month to complete his final project for the course.
Learn more about average here:
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Answer:
0.7125
Step-by-step explanation:
The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes (with probability p) in a sequence of n independent events.
The probability of getting exactly x successes in n independent Bernoulli trials = 
Total number of watches in the shipment = 50
Number of defective watches = 6
Number of selected watches = 10
Let X denotes the number of defective digital watches such that the random variable X follows a binomial distribution with parameters n and p.
So,
Probability of defective watches = 
Take n = 10 and p = 0.12
Probability that the shipment will be rejected = 
Use 
So,
Probability that the shipment will be rejected = 
