Answer:
The number is -20.
Step-by-step explanation:
If x is the number, then 3(x+4)=2x-8.
3x+12=2x-8
x=-20
Answer:
0.43715
Step-by-step explanation:
We solve using z score calculator
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = $276,000
σ is the population standard deviation = 32,000
For x = $276,000
z = 276,000 - 276,000/32000
z = 0
Probability value from Z-Table:
P(x = 276000) = 0.5
For x = $325,000
z = 325,000 - 276,000/32000
z = 1.53125
Probability value from Z-Table:
P(x = 325000) = 0.93715
The probability that the next house in the community will sell for between $276,000 and $325,000 is
P(x = 325000) - P(x = 276000)
= 0.93715 - 0.5
= 0.43715
Answer:
the diameter is 28 centimeters and the area is 97.4 centimeters
Step-by-step explanation:
the diameter is just the radius plus the radius so its 28
and i just solved for the area and got 97.4
Given Information:
Population mean = p = 60% = 0.60
Population size = N = 7400
Sample size = n = 50
Required Information:
Sample mean = μ = ?
standard deviation = σ = ?
Answer:
Sample mean = μ = 0.60
standard deviation = σ = 0.069
Step-by-step explanation:
We know from the central limit theorem, the sampling distribution is approximately normal as long as the expected number of successes and failures are equal or greater than 10
np ≥ 10
50*0.60 ≥ 10
30 ≥ 10 (satisfied)
n(1 - p) ≥ 10
50(1 - 0.60) ≥ 10
50(0.40) ≥ 10
20 ≥ 10 (satisfied)
The mean of the sampling distribution will be same as population mean that is
Sample mean = p = μ = 0.60
The standard deviation for this sampling distribution is given by
Where p is the population mean that is proportion of female students and n is the sample size.
Therefore, the standard deviation of the sampling distribution is 0.069.