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brilliants [131]
3 years ago
13

Determine the domain and range of the graph.

Mathematics
1 answer:
nirvana33 [79]3 years ago
4 0

Answer:

Domain [-4,4]

Range [-2,2]

Step-by-step explanation:

The domain is the x-values of the graph and the range in the y-values. When writing domain and range it should be from least to greatest. So to find the domain find the lowest x-value on the graph and then the highest. Next, do the same for y-values. Finally, either surround each value with parentheses or bracket, the difference is that brackets mean that value is included, while parentheses mean that value is not actually on the graph.

In this case, the lowest x-value is -4 and the highest is 4, both values are included as signified by the closed circles, therefore the domain is [-4,4]. The lowest y value is -2 and the highest is 2, both are included, therefore the range is [-2,2].

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The waking time of a student under common conditions is normally distributed with mean of 30 hours and a standard deviation of 5
Elina [12.6K]

Answer:

If the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30 hours

Standard Deviation, σ = 5 hours

We are given that the distribution of waking time is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 30}{5})=0.95  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 30}{5} = 1.645\\\\x = 38.225  

Thus, if the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

4 0
3 years ago
HELP WITH THIS QUESTION PLEASE!
belka [17]

Answer:

23.7°

9.1~ft

Step-by-step explanation:

Formula for the area of a sector of central angle n (in degrees) and radius r:

A = \dfrac{n}{360^\circ}\pi r^2

We have:

A = 100 ft^2

r = 22 ft

We need to find:

r

100 = \dfrac{n}{360^\circ}\pi (22^2)

n = 23.7^\circ

The central angle measures 23.7°.

Formula for the length of an arcs of a circle with central angle n (in degrees) and radius r:

s = \dfrac{n}{360^\circ}2 \pi r

We have:

n = 23.7°

r = 22 ft

We need to find:

s

s = \dfrac{74.4}{360}2 \pi (22 ft)

s = 9.1~ft

6 0
3 years ago
Josie has $47 left on her checking account. If she writes a check for $55, what ill josie's balance be?
Sidana [21]
Well technically the check will not go through because she does not have a balance greater than or equal to $55, but if you need an answer it would be $47-$55= $-8. 
8 0
3 years ago
Read 2 more answers
Pleasehelp me algebra 2
leva [86]
The average rate of change is 12.

27 - 3 = 24.

1 - (-1) = 2 [it’s essentially 1 + 1].

24/2 = 12.
4 0
3 years ago
The least common multiple of 4 and 7
shusha [124]
The answer is 28. My answer is correct. 7, 14& 21 can't be the LCM son the answer should be 28.
5 0
3 years ago
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