Answer:
The standard deviation of the number of people that test positive for the HIV virus =
σ =1.427
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given the probability that test positive for the HIV virus 'p' = 3% =0.03
Given random samples 'n' = 70
by using binomial distribution
<em>The mean of the samples test positive for the HIV virus </em>
<em> μ = n p = 70 X 0.03 = 2.1</em>
<em>The standard deviation of the number of people that test positive for the HIV virus</em>
<em> σ = </em><em></em>
σ = √70 ×0.03×0.97 =√2.037 = 1.427
<u><em>Conclusion</em></u>:-
The standard deviation of the number of people that test positive for the HIV virus = σ =1.427
Answer:
x=15
Step-by-step explanation:
Well, you have 2 numbers that sum up to 90 (the angle) so you can first minus the one you know, making your number from 90-30=60. Now all thats left is the 4x=60, which you can do 60/4=15 to get your answer that x=15.
Answer:
the answer is m = 2
Step-by-step explanation:
Use Symbolab I use it all the time it gives correct answer and it gives good explanations (this isn't a sponsor I've just been using it since the 6th grade lol)
9514 1404 393
Answer:
4. height: 5√3 cm; area: 25√3 cm²
5. 30√2 ft ≈ 42.43 ft
Step-by-step explanation:
4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...
height = (√3)/2 × (10 cm) = 5√3 cm
The area is given by the formula ...
A = 1/2bh
A = 1/2(10 cm)(5√3 cm) = 25√3 cm²
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5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...
(30 ft)√2 ≈ 42.43 ft
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The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.
d = √(30² +30²) = √1800 ≈ 42.43 . . . feet