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zysi [14]
4 years ago
8

Majesty Video Production Inc. wants the mean length of its advertisements to be 24 seconds. Assume the distribution of ad length

follows the normal distribution with a population standard deviation of 2 seconds. Suppose we select a sample of 15 ads produced by Majesty. What can we say about the shape of the distribution of the sample mean time?
Mathematics
1 answer:
oksano4ka [1.4K]4 years ago
4 0

Answer:

It is going to be bell-shaped(normally distributed), with mean \mu = 24 and standard deviation s = \frac{2}{\sqrt{15}} = 0.5164.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

What can we say about the shape of the distribution of the sample mean time?

It is going to be bell-shaped(normally distributed), with mean \mu = 24 and standard deviation s = \frac{2}{\sqrt{15}} = 0.5164.

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Help will give star and brainlest or what ever is the highest you can give a comment!!!​
Ray Of Light [21]

Answer:

puppies - 22

Step-by-step explanation:

since the ratio is 2:3, there are 5 parts in total. (2+3=5)

55/5=11 then multiply by parts

puppies- 2×11=22

adults- 3×11=33

check answer by adding- 22+33=55

3 0
3 years ago
Read 2 more answers
What would be the quickest way to complete a rotation of 270 degrees clockwise
givi [52]
Not sure the type of answer you are looking for. Yet 270 degrees is 3/4 of a full turn. (90 x 3)

Therefore you could state 3/4 of a turn. Also, 1/4 of a clockwise turn would work.
7 0
4 years ago
What is -11 2/3 x (-4 1/5) = ?
adelina 88 [10]

Answer:

49

Step-by-step explanation:

-11 2/3 x (-4 1/5) =

negative times negative = positive

Change the mixed numerals into fractions.

= 35/3 × 21/5

Multiply the numerators together. Multiply the denominators together.

= (35 × 21)/(3 × 5)

Simplify.

= (7 × 5 × 7 × 3)/(3 × 5)

Divide the numerator and denominator by 3 and by 5.

= 7 × 7

= 49

6 0
3 years ago
Please help with this
lana66690 [7]
Alright, let's convert to decimals for these calculations: fractions could get messy.
1/5 = .2
1/2 = .5

Imagine a rectangular solid in your mind. How many sides does it have?
6. In the image shown you have 3 facing you. In addition to those, there are 3 not shown. They will correspond to the calculations you make on the front, though, so all you have to do is double the values you get.

Area is length * width, or length * height, or width * height. So:
A = 3.2 (length) * 4.5 (height) for the front face of the rectangular solid(as well as the back face.)
A = 5 (width) * 4.5 (height) for the right face of the rectangular solid (and the one on the left, away from you.)
A = 3.2 (length) * 5 (width) for the top of the solid(and the bottom).

Calculating these values, we get that 
A=14.4
A=22.5
A= 16
So that's 3 out of 6 values for the full surface area.
Like I said though, these values can merely be doubled for the complete area.
Add these three together:
14.4+22.5+16=52.9
multiply by 2 to account for the other 3 sides
52.9 * 2 = 105.8
105.8 is the surface area.
4 0
3 years ago
Please calculate the probability using the following equations (in document)
labwork [276]

Substitute <em>u</em> = <em>t</em> ³/2592 and d<em>u</em> = <em>t</em> ²/864 d<em>t</em>. Then

P(T)=1-\displaystyle\int_0^T f(t)\,\mathrm dt=1-\displaystyle864\left(1.1574\times10^{-3}\right)\int_0^{\frac{T^3}{2592}}e^{-u}\,\mathrm du

The probability that a 12 hour surgery is successful is <em>P</em> (12), so letting <em>T</em> = 12 gives

P(12)\approx1-\displaystyle\int_0^{\frac23}e^{-u}\,\mathrm du\approx e^{-\frac23} \approx \boxed{0.5134}

4 0
3 years ago
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