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Alexus [3.1K]
3 years ago
12

Find the value of x round the length to the nearest tenth. The diagram is not drawn to scale.

Mathematics
1 answer:
Semmy [17]3 years ago
4 0

Apply Sin

sin80=\frac{500}{x} \\x(sin80)=500\\x=\frac{500}{sin80} \\x=507.71

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Compare the given dimensions of four triangles. Which triangle is possible to construct?
Mila [183]

Answer:

I can't see the triangles give me the coordinates

Step-by-step explanation:

8 0
2 years ago
If a procedure meets all of the conditions of a binomial distribution except the number of trials is not​ fixed, then the geomet
morpeh [17]

Answer:

The probability is 0.0428

Step-by-step explanation:

First, let's remember that the binomial distribution is given by the formula:

P(X=k) =\left[\begin{array}{ccc}n\\k\end{array}\right] p^{k}(1-p)^{n-k} where k is the number of successes in n trials and p is the probability of success.

However, the problem tells us that when there isn't a number of trials fixed, we can use the geometric distribution and the formula for getting the first success on the xth trial becomes:

P(X=x) = p(1-p)^{x-1}\\

The problem asks us to find the probability of the first success on the 4th trial (given that the first subject to be a universal blood donor will be the fourth person selected)

Using this formula with the parameters given, we have:

p = 0.05

x = 4

Substituting these parameters in the formula and solving it, we get:

P(X=4) = 0.05(1-0.05)^{4-1}\\P(X=4) = 0.05 (0.95)^{3}\\P(X=4) = 0.05(.8573)\\P(X=4) = 0.0428

Therefore, the probability that the first subject to be a universal blood donor is the fourth person selected is 0.0428 or 4.28%

7 0
3 years ago
Help?!
miss Akunina [59]

Answer:

True.

Step-by-step explanation:

6 0
3 years ago
Although five of John's answers were incorrect, 90% of his answers were correct. How many questions did John answer in all?
fiasKO [112]

Answer:

John answered 50 questions.

Step-by-step explanation:

Although five of John's answers were incorrect, 90% of his answers were correct.

This means that 5 is 100 - 90% = 10% of the total number of questions, n. So

0.1n = 5

n = \frac{5}{0.1}

n = 50

John answered 50 questions.

7 0
2 years ago
Help i need the answer idk what or how to do this
natta225 [31]
14^(7x) = 17^(-8-x)

Take the log of both sides:

7x*log 14 = -(8+x)*log 17, or 7x^log 14 = -8*log 17 - x*log 17.

Grouping the x terms, we get x(7*log 14 + log 17)= -8*log 17

Then:
              -8*log 17
x= --------------------------   (answer)
      7*log 14 + log 17
6 0
3 years ago
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