4x-6y = 12
Add 6y to both sides
4x = 12 + 6y
Subtract 12 on both sides
4x - 12 = 6y
Divide 6 on both sides
y = 2/3 x - 2
Next equation
-2x + 3y = -6
Add 2x to both sides
3y = 2x - 6
Divide 3 on both sides
y = 2/3x - 2
Answer:
14,850
Step-by-step explanation:
multiply 18 x 33 x 25 = 14,850
The common difference is 19-7 = 31-19 = 12, so this is an arithmetic sequence. The initial term (when n=1) is 7.
The explicit formula for the terms of an arithmetic sequence is
an = a1 + d(n-1)
where "a1" is the first term and "d" is the common difference. The formula that matches a1=7 and d=12 is
B. a(n) = 7+(n-1)·12
Answer:
The probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers is 0.8078.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
And the standard deviation of the sample means is given by,
The information provided is as follows:
Compute the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers as follows:
*Use a <em>z</em>-table.
Thus, the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers is 0.8078.
Answer:
66.4637681159
Step-by-step explanation:
add the 69 numbers and divide by 69 for how many terms there are