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Elza [17]
3 years ago
13

Find the length of the radius. Type a numerical value in the space provided. Do not type spaces in your answers,

Mathematics
1 answer:
IgorC [24]3 years ago
7 0
The radius is 1 unit.
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Find the indicated probability.
natka813 [3]

Answer:

C) 0.179

Step-by-step explanation:

Since the trials are independent, this is a binomial distribution:

<u>Recall:</u>

  • Binomial Distribution --> P(k)={n\choose k}p^kq^{n-k}
  • P(k) denotes the probability of k successes in n independent trials
  • p^k denotes the probability of success on each of k trials
  • q^{n-k} denotes the probability of failure on the remaining n-k trials
  • {n\choose k}=\frac{n!}{(n-k)!k!} denotes all possible ways to choose k things out of n things

<u>Given:</u>

  • n=10
  • k=4
  • p^k=0.53^4
  • q^{n-k}=(1-0.53)^{10-4}=0.47^6
  • {n\choose k}={10\choose 4}=\frac{10!}{(10-4)!4!}=210

<u>Calculate:</u>

  • P(4)=(210)(0.53^4)(0.47^6)=0.1786117069\approx0.179

Therefore, the probability that the archer will get exactly 4 bull's-eyes with 10 arrows in any order is 0.179

7 0
2 years ago
Given the following table, find the rate of change between f(-1) and f(2). x -1 0 1 2 3 f(x) -2 -1
salantis [7]

Answer:

[f(2) - f(-1)]/3

Step-by-step explanation:

The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:

rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3

To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.

6 0
3 years ago
Read 2 more answers
I need help with this please
Harlamova29_29 [7]
-12y+14-9y=14
-21y=0
y=0, x=7
3 0
3 years ago
What is the simplified form of the following expression?(x10)(x2) x8 x12 x20 x100
notka56 [123]
I believe the answer would be x20. Between the two parentheses there's a multiplication symbol. So you would just pretend that the parentheses aren't there cause the variable(s) (x) is/are like terms. So you would just multiply 10 times 2 and put out the x back in front of it
6 0
3 years ago
Read 2 more answers
A square rug measures 8 feet by 8 feet. find the diagonal distance of the rug to the nearest whole number
Tanzania [10]
This is a right angle triangle and you use the Pythagorean theorem to solve for the hypotenuse (the diagonal)

A^2 + B^2 = C^2
8^2 + 8^2 = C^2
64 + 64 = C^2
128 = C^2
C = square_root (128)
C = 11 (to the nearest whole number)

The diagonal is 11 feet (to the nearest whole number)
7 0
3 years ago
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