Answer:
The answer is below
Step-by-step explanation:
The empirical rules states that for a normal distribution, 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviation from the mean and 99.7% falls within three standard deviations from the mean.
Given that:
mean (μ) = 71 inches, standard deviation (σ) = 4.3 inches
One standard deviation = μ ± σ = 71 ± 4.3 = (66.7, 75.3)
Two standard deviation = μ ± 2σ = 71 ± 2*4.3 = (62.4, 79.6)
Three standard deviation = μ ± 3σ = 71 ± 3*4.3 = (58.1, 83.9)
The graph is attached
Answer:
439.87
Step-by-step explanation:
Time and a half is the original hourly rate plus half of that. Being that Clint's hourly rate is $25.50, you will add $12.75 to that because that is half of 25.50. So for the 11.5 hours worked, Clint's gross pay comes out to be $439.87. First figure out time and a half as shown above. Next, multiply time and a half by the number of hours worked on said day. You then have the answer for what is Clint's gross pay.
Answer:
x = - 5, x = 4
Step-by-step explanation:
Given
f(x) = x² + x - 20
To find the zeros equate f(x) to zero, that is
x² + x - 20 = 0
Consider the factors of the constant term ( - 20) which sum to give the coefficient of the x- term ( + 1)
The factors are + 5 and - 4, since
5 × - 4 = - 20 and + 5 - 4 = + 1, hence
(x + 5)x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 4 = 0 ⇒ x = 4
Answer: 240
Step-by-step explanation:
144/3 = 48
5x48= 240
You have to do 10•10•10•10•10 (multiply 10, 5 times). Once you multiply 10 five times, you end up with an answer of 100,000 pencils in each box. Then since you have 6 boxes of pencils you have to multiply 100,000•6, which equals 600,000 pencils total.
