Please help I don’t need the last please help

Mathematics

1 answer:

marshall27 [118]3 years ago

3 0

For Q#1: You have to find the circumference of a circle with a radius of 8. Finding a circumference is diameter multiplied by pi (3.14). The diameter is twice as large than the radius. Multiplying 8 by 2 gets you the diameter. 16 is the diameter. Finally, multiply 16 by 3.14 and you get your answer. The answer would be B (50.24)

Use the same steps for 2&3!

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Calculate the volume of the rectangular prism

KonstantinChe [14]

Answer:

$v = 336 {mm}^{3}$

Step-by-step explanation:

The formula to find the volume of a triangular prism is

$v = \frac{1}{2} base \: \times height \times length$

From the diagram we are given we can see that

$base = 8 \: \: \ \: \: \: height = 6 \\ length = 14$

Therefore the volume of the triangular prism is

$v = (\frac{1}{2 }b \times h)l \\ \\ v = (\frac{1}{2} 8 \times 6)14\\ \\ v = 4 \times 6\times 14 \\ \\ v = 336 {mm}^{3}$

5 0

2 years ago

Read 2 more answers

A certain type of aluminum screen has, an average, one flaw in a 100-foot roll. Assume the flaw distribution approximately follo

julsineya [31]

Answer:

a) 0.9197 = 91.97% probability that a 100-foor roll has at most 2 flaws.

b) 0.1074 = 10.74% probability that there are exactly 3 rolls that have no flaws in them.

c) 0.0394 = 3.94% probability that the 15th roll he inspected was the 3rd one that have no flaws in it.

Step-by-step explanation:

To solve this question, we need to understand the Poisson and the Binomial distribution.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

(a) Find the probability that a 100-foor roll has at most 2 flaws.

A certain type of aluminum screen has, an average, one flaw in a 100-foot roll, which means that $\mu = 1$ . Only one roll means that the Poisson distribution is used.