Answer: 0.0325
Step-by-step explanation:
Binomial probability distribution formula for x successes in n trials:-
, where n is the number of trials , p is the probability of success.
Given : The probability that taxpayers who filed their tax return are electronically self-prepared their taxes : 
If three tax returns submitted electronically are randomly selected, then the probability that all three were self-prepared is given by :-
Hence, the probability that all three were self-prepared =0.0325
Answer:
Start by laying out 7 tiles, and then adding 3. Whatever that number of tiles is equals x.
x = 10
10 - 3 = 7
Answer:
yes
Step-by-step explanation:
because the longest side of a triangle must equal less than the sum of the other two, 3+7=10 which is greater than 8 means it is a triangle.
Step-by-step explanation:
Explanation:
Given:
−3x2+12x+1=0
This is in the form:
ax2+bx+c=0
with a=−3, b=12 and c=1
In order to decide which method to use, we can first examine the discriminant:
Δ=b2−4ac=122−4(−3)(1)=144+12=156
Since Δ>0 we can tell that the quadratic has 2 distinct real solutions, but because it is not a perfect square we can also tell that those solutions are irrational.
So there is no rational factorisation and we can discount the use of an AC method or similar.
We can use the quadratic formula or we can complete the square.
If we choose to use the quadratic formula, then we find:
x=−b±√b2−4ac2a
x=−b±√Δ2a
x=−(12)±√1562(−3)
x=−12±2√39−6
x=2±√393
When completing the square, note that b=12 is already divisible by a=−3 and by
Answer:
The standard error of the mean is 10.11 points
Step-by-step explanation:
Standard error of mean = t×sd/√n
sd = 115 points, n = 500, degree of freedom = n-1 = 500-1 = 499, assuming a 95% confidence level, t-value corresponding to 499 degrees of freedom and 95% confidence level is 1.96501
Standard error of mean = 1.96501×115/√500 = 10.11 points (to the nearest 100th)
