Square root of 28
explanation:
a^2 + b^2 = c^2
a^2+6^2 = 8^2
a^2+36=64
subtract 36 from both sides
a^2=28
square root both sides
a = square root of 28
Answer:
Step-by-step explanation:
Multiply each side by 3.
Parallel lines have the same slope so you first have to identify the slope of the lines.
The first lines has a slope of 4 and the second line has a slope of 2.
This means the lines are NOT parallel
Answer:
0.07215 = 0.072 to 3 d.p.
Step-by-step explanation:
Central limit theorem explains that the sampling distribution obtained from this distribution will be approximately a normal distribution with
Mean = population mean
μₓ = μ = 9.8 minutes
Standard deviation of the distribution of sample means = σₓ = (σ/√n)
σ = 12 minutes
n = sample size = 30
σₓ = (12/√30) = 2.191
Probability that a random sample of 30 overtime periods would have a (sample) mean length of more than 13 minutes
Required probability = P(x > 13)
Since we've established that this distribution of sample means approximates a normal distribution
We first standardize 13 minutes.
The standardized score for any value is the value minus the mean then divided by the standard deviation.
z = (x - μ)/σ = (13 - 9.8)/2.191 = 1.46
Required probability
P(x > 13) = P(z > 1.46)
We'll use data from the normal probability table for these probabilities
P(x > 13) = P(z > 1.46) = 1 - P(z ≤ 1.46)
= 1 - 0.92785 = 0.07215
Hope this Helps!!!
Answer:
$3,675
Step-by-step explanation:
Simple Interest = principal x rate x time
so, simple interest = $35,000 x 3.5/100 x 3
Therefore, the answer is $3,675
Hooe this helped :)
