Answer:
w=15
Step-by-step explanation:
4w-36=w+9
3w=45
w=15
Answer:
The minimum sample size necessary is 2305.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

For this problem, we have that:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The researcher wishes to be accurate within 2% of the true proportion. Find the minimum sample size necessary?
We need a sample size of n.
n is found when M = 0.02. So






Rounding up
The minimum sample size necessary is 2305.
Answer:
8.805
Step-by-step explanation:
You multiply as if these are two whole numbers. Then, you count the number of numbers that come before the decimal place. You then move the decimal on the answer you got by 587x15 that amount of places to the left.
Answer:
The probability of 7 winners in a row = 1 / 128.
Step-by-step explanation:
That would be (1/2)^7 . The probabilities are multiplied because the events ( heads or tails) are independent.
The weight (y) will always be positive, the number of balls (x) too. So without the bucket, the function would be:
y = 1.6x
Now we have to add the weight of the bucket which is 2lb, or the same 32oz.
So the function results:
y = 1.6x + 32 (oz.)
If there is 1 ball, the weight is 1.6+32 = 33.6 oz. If there are no balls, the weight is 0 + 32 = 32 oz.
It is very important that all terms in the equation are in the same units, oz. in this case. Otherwise, if you do not translate lb. to oz. the resulting equation will be wrong.
If you need the equation expressed in lb., you only need to multiply the equation by 1lb/16oz:
y = = 0.1x + 2 (lb.)