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Romashka-Z-Leto [24]
2 years ago
13

A large sleep study involving over 5000 American teenagers examined how many hours the participants slept on the weekend. The ni

ghtly sleep times were distinctly non-normal with a mean of 10 hours and a standard deviation of 2 hours. Suppose we take a random sample of 100 nightly sleep times from this population. We can assume that the times in the sample are independent. What is the probability that the mean of these 100 sleep times is farther than 0.4 hours away from the population mean?
a) 0455
b) .02
c) 1
d) .02275
Mathematics
2 answers:
Nutka1998 [239]2 years ago
4 0

Answer:

.5

Step-by-step explanation:

Anvisha [2.4K]2 years ago
3 0

Answer:

.05

Step-by-step explanation:

Khan

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Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the company can manufacture and y r
kirill [66]

Answer:

x (smallest to largest) = 0,45 ,55

y (smallest to largest) = 0,10,40

Step-by-step explanation:

(hours)        Dinghy Rowboat        Labor Available

Metal Work 2             3                       120

Painting         2              2                        110

Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.

So, total hours for metal work = 2x+3y

So, total hours for Painting = 2x+2y

So, equation becomes:

2x+3y\leq 120

2x+2y\leq 110

x\geq 0

y\geq 0

Plot the inequalities

Refer the attached figure

So, the vertices of the feasible region are (0,40),(45,10) and (55,0)

So, x values are 0 , 45 and 55

x represents the number of dinghies

So, x (smallest to largest) = 0,45 ,55

y values are 40,10,0

y represent the number of rowboats.

So, y (smallest to largest) = 0,10,40

3 0
3 years ago
If a bloodstain has a length of 3.0cm and a width of 1.5cm what is the angle of impact?
zalisa [80]

The angle of impact is 30°

<h3>What is the angle of impact?</h3>

In a bloodstain, the angle of impact can be used to determine the appearance of the resulting bloodstain if the bloodstain has a tail or pattern.

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Mathematically;

\mathbf{Angle  \ of \  impact = sin^{-1} (\dfrac{width \ stain}{length \ stain} )}

\mathbf{Angle  \ of \  impact = sin^{-1} (\dfrac{1.5}{3.0} )}

\mathbf{Angle  \ of \  impact = 30 ^0}

Learn more about the angle of impact here:
brainly.com/question/19423063

6 0
2 years ago
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nikitadnepr [17]

Answer:

Bottom left

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The point of reflection is the bottom left one because when reflecting a figure in a line or in a point, the image is congruent to the preimage. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.

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Use the diagram below to answer the questions.<br> -17h<br> 119°<br> с<br> G<br> Find m_PCT
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Answer:

119°

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It’s 119.  You don’t need to solve for h.

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Service entrance head. Hope this helps :)

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