Answer:
18.87%
Step-by-step explanation:
Let's say that adult that needs correction is A(83%) and adult that doesn't need correction is B(17%). There are two combinations of event that result at "at least 16 out of 17 adults chosen need correction" which is:
1. 17A
2. 16A + 1 B
The probability for 17A should be easy to determine, it is simply A^17.
You will need a pascal triangle for 16A + 1 B event combination, not only A^16*B^1. It's pretty easy to know the coefficient since its just 1 different case so it's 16+1= 17. The chance will be:
1A^17 + 17A^16*B^1=
0.04210 + 0.1466= 0.1887= 18.87%
If you use 5% as significant cutoff, then it's not significant because the probability of this occurring is not small.
Answer:
0.28125
Step-by-step explanation:
1 mile 0.1875
1/2 mile 0.09375
Add together and you get your answer!
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Answer:
x = 15
z = 25
Step-by-step explanation:
In is inscribed in a semicircle.
In is inscribed in a semicircle.
Answer:
Estimate is 150 and actual product is 138.
Step-by-step explanation:
To estimate products, we round the numbers to nearest unit place, 10th, 100th, 1000th, and so on.
Given are the numbers 3 and 46.
We can round 46 ≈ 50.
So Estimation would be 3 x 46 ≈ 3 x 50
3 times 5 is 15 and we can add zeros after it.
So estimation is 3 x 46 ≈ 150.
Now actual product would be...
3 times 6 is 18, so we note down 8 and 1 goes to carry over 4.
3 times 4 is 12 and carry 1 will be added in it, so 12 + 1 = 13.
It means the actual product is 3 x 48 = 138.
Answer:
0.2 ; 100 ; 4.84
Step-by-step explanation:
Given that the probability of each of the 5 groups is the same :
Sum of probability = 1
Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2
Expected number for each interval for a sample of 500 : ; X = 500
E(X) = X * P(x) = 500 * 0.2 = 100
Goodness of fit (X²) :
X² = Σ(X - E)² ÷ E
Groups :
113, 95, 108, 99, and 85
X : 113 ____ 95 ____ 108 ____ 99 _____ 85
(113 - 100)^2 / 100 = 1.69
(95 - 100)^2 / 100 = 0.25
(108 - 100)^2 / 100 = 0.64
(99 - 100)^2 / 100 = 0.01
(85 - 100)^2 / 100 = 2.25
(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84