Answer:
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Step-by-step explanation:
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Answer:
66.28% of students study more than 8 hours
Step-by-step explanation:
The percent of students study more than 8 hour can be calculated as
P(X>8)=?
P(X>8)=P((X-mean)/sd>(8-9.92)/4.54)
The calculated z-score is -0.42.
P(X>8)=P(Z>-0.42)
P(X>8)=P(0<Z<-0.42)+P(0<Z<∞)
P(X>8)=0.1628+0.5=0.6628.
Thus, 66.28% of students study more than 8 hours.
Answer:
The standard deviation reduces when sample size (n) increases
Step-by-step explanation:
From the above information given, we have that mean = 75.5
Standard deviation = 3.5
But Standard deviation = √summation (x-u)/n
This simply implies that when sample (n) is increased there would be a reduction in the standard deviate.
Answer:
x = 7
Step-by-step explanation:
When 2 secants are drawn from an external point to a circle.
The product of the external part and the entire secant of one secant is equal to the product of the external part and the entire secant of the other secant, that is
5(5 + x) = 6(6 + 4) ← distribute and simplify both sides
25 + 5x = 6 × 10
25 + 5x = 60 ( subtract 25 from both sides )
5x = 35 ( divide both sides by 5 )
x = 7
The formula is 4/3 times pi times radius cubed. The radius is 9. 4/3 is 1.33. 3.14 times 9 cubed is 81 times 3.14. That is 254.34. 1.33 times 254.34 is 338.2722. That rounds to 338.
