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KiRa [710]
3 years ago
15

Determine the domain and range of the given function.

Mathematics
1 answer:
frez [133]3 years ago
7 0

Answer: domain is all real numbers and range is all real numbers greater than or equal to -2

Step-by-step explanation:

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Among a sample of 55 male soldiers the average shower time was found to be 2.95 minutes and the population standard deviation is
Oksanka [162]

Answer: -3.0593

Step-by-step explanation:

The test statistic for the difference between two population mean (when population standard deviations \sigma_1\ \&\ \sigma_2  are known ) is given by :-

z=\dfrac{\overline{x}_1-\overline{x}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}}

where ,

n_1\ \&\ n_2 = Sample sizes taken from two  populations 1 and 2.

\overline{x}_1-\overline{x}_2 = Difference between two Sample mean.

\sigma_1\ \&\ \sigma_2 = Standard deviations of populations 1 and 2.

As per given , we have

n_1=55\ \&\ n_2=58

\overline{x}_1=2.95\ \&\ \overline{x}_2=3.3

\sigma_1=0.65\ \&\ \sigma_2=0.56

We assume that the data follows a normal distribution.

Then, the test statistic will be :-

z=\dfrac{2.95-3.3}{\sqrt{\dfrac{(0.65)^2}{55}+\dfrac{(0.56)^2}{58}}}\\\\=\dfrac{-0.35}{\sqrt{0.0130887}}\\\\=\dfrac{-0.35}{0.1144059}=3.05928278174\approx-3.0593  

Hence, the test statistic= -3.0593

5 0
3 years ago
What is the slope of y=4-6x
julia-pushkina [17]

Answer:

the slope, m, is -6

Step-by-step explanation:

One of the most commonly used equations for a straight line is y = mx + b, where m is the slope and b is the y-intercept.

Comparing  y=4-6x to y = b + mx, we see that the slope, m, is -6 and the y-intercept, b, is 4.

4 0
3 years ago
Read 2 more answers
What is 708569 to the nearest ten thousands
gregori [183]
70,000
The 0 means that it stays the same.
Hope it helps.
6 0
3 years ago
Under what operations are the set of integers closed? Explain your answer.
Nonamiya [84]
Addition, subtraction, multiplication.

Addition: The addition of two integers produces another integer.

Subtraction: The subtraction of two integers produces another integer.

Multiplication: The product of two integers is an integer.

Division between two integers can produce a rational number that is not in the set of integers e.g. 1/3

This only includes the four basic arithmetic operations, you can include exponentiation and the modulo operation if you want to for the same reasons as above.
3 0
3 years ago
Match the base to the corresponding height.
Sergio039 [100]

The first base matches the second height

The second base matches the first height

The third base matches the third height

<h3>Base and height of a triangle  </h3>

From the question, we are to match the base to the corresponding height

In a triangle, the height of the triangle is perpendicular to the base.

Applying this in the given diagram,

The first base matches the second height

The second base matches the first height

The third base matches the third height

Learn more on Base and height of a triangle here: brainly.com/question/17154315

#SPJ1

5 0
2 years ago
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