Given:
μ = 25 mpg, the population mean
σ = 2 mpg, the population standard deviation
If we select n samples for evaluation, we should calculate z-scores that are based on the standard error of the mean.
That is,

The random variable is x = 24 mpg.
Part (i): n = 1
σ/√n = 2
z = (24 -25)/2 = -0.5
From standard tables,
P(x < 24) = 0.3085
Part (ii): n = 4
σ/√n = 1
z = (24 -25)/1 = -1
P(x < 24) = 0.1587
Part (iii): n=16
σ/√n = 0.5
z = (24 - 25)/0.5 = -2
P(x < 24) = 0.0228
Explanation:
The larger the sample size, the smaller the standard deviation.
Therefore when n increases, we are getting a result which is closer to that of the true mean.
Answer:
6
Step-by-step explanation:
First, simplify the exponents:
2*(3^6*3*-5)
2*((3*3*3*3*3*3)*(1/3*3*3*3*3))
2*(729*0.00411522633)
Then solve from there:
2*2.99999999457
5.99999998914
Since there is only whole numbers and a fraction present, im assuming you have to round:
5.99999998914
6
6 is your answer
Hope this helps!
The number of bags of grass seed that are needed to seed the new rectangular lawn is approximately 19 bags .
<h3>Perimeter of a rectangle</h3>
The perimeter of a rectangle is the sum of the whole sides of the rectangle.
Therefore,
perimeter of the rectangle = 298 ft
The width is 67 ft.
Hence
perimeter of rectangle = 2(l + w)
where
Therefore,
298 = 2 ( l + 67)
298 = 2l + 134
298 - 134 = 2l
164 = 2l
l = 164 / 2
l = 82 ft
Therefore,
area of the rectangle = 82 × 67 = 5494 ft²
285 ft² = 1 bag of grass seed
5494 ft² = ?
cross multiply
number of bag of grass seed to fill the new rectangular lawn = 5494 / 285
number of bag of grass seed to fill the new rectangular lawn = 19.2771929825
learn more on rectangle here: brainly.com/question/16878024
Answer:
3
Step-by-step explanation:
12 divided by 4 is 3. Therefor 1/4 of 12 is 3.