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Alenkinab [10]
3 years ago
11

Find the volume and surface area of the composite figure. Give four answer in terms of pi

Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Volume = Volume of cylinder + Volume of semi sphere

= pi*r^2*h+(2/3)*pi*r^3

=pi*(4*12+16/3)=pi*53.3

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Estimate the sum 11 3/8 + 9 7/10 + 21 1/4 by rounding each mixed number to the nearest whole number. Then find the exact sum
vodka [1.7K]
Answer:
Approximately 42.
Exact sum is 42 13/40.

Explanation:
Estimate 11 3/8: 11
Estimate 9 7/10: 10
Estimate 21 1/4: 21
Add them together: 42.

11.375 + 9.7 + 21.25 = 42.325
I made them into decimals and then will convert it into fraction.
42.325 = 42 13/40

Hope this helps!
3 0
3 years ago
Pls help urgently extra points and mark brainlist
Andreas93 [3]

Answer:

7

Step-by-step explanation:

9 is not a prime factor and of you divide 210 with 11, it will be a decimal

5 0
3 years ago
Every time I use a piece of scrap paper, I crumple it up and try to shoot it inside the recycling bin across the room. I'm prett
valentinak56 [21]

Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

With 5 shoots, the probability of making at least one is \frac{211}{243}, hence the probability of making none, P(X = 0), is \frac{232}{243}, hence:

(1 - p)^5 = \frac{232}{243}

\sqrt[5]{(1 - p)^5} = \sqrt[5]{\frac{232}{243}}

1 - p = 0.9908

p = 0.0092

Then, with 6 shoots, the parameters are:

n = 6, p = 0.0092.

The probability that at least two of them make it inside the recycling bin is:

P(X \geq 2) = 1 - P(X < 2)

In which:

[P(X < 2) = P(X = 0) + P(X = 1)

Then:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{6,0}.(0.0092)^{0}.(0.9908)^{6} = 0.9461

P(X = 1) = C_{6,1}.(0.0092)^{1}.(0.9908)^{5} = 0.0527

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.9461 + 0.0527 = 0.9988

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9988 = 0.0012

0.0012 = 0.12% probability at least two of them make it inside the recycling bin.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

7 0
2 years ago
Select the equation in which the graph of the line has a negative slope and the y intercept equals -5
tatuchka [14]

Answer:

Step-by-step explanation:

Next time, please share the possible answer choices.

Since the slope and y-intercept are given here, we can immediately write out the slope-intercept form of the equation of this line:

y = mx + b becomes y = -1x - 5, where I have arbitrarily chosen the negative slope -1.

7 0
4 years ago
What is the % of 7/10
Delicious77 [7]

7/10=70/100=70%, so the answer is seventy-percent.

7 0
3 years ago
Read 2 more answers
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