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svet-max [94.6K]
4 years ago
7

Can You show me how to do this?

Mathematics
1 answer:
Elanso [62]4 years ago
4 0
22a is < since multiplying something by a fraction less than one makes it smaller. 
22b is = since multiplying something by a fraction equal to one makes it stay the same. 
22c is > since multiplying something by a mixed number makes it larger. 
22d is < since multiplying something by a fraction less than one makes it smaller. 
Hope this helps!
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You are interested in estimating the mean of a population. You plan to take a random sample from the population and use the samp
Alja [10]

Answer: The standard deviation of the sampling distribution of M is equal to the standard deviation of the population divided by the square root of the sample size.

You can assume that the sampling distribution of M is normally distributed for any sample size.

Step-by-step explanation:

  • According to the central limit theorem , if we have a population with mean (\mu) and standard deviation \sigma , then if we take a sufficiently large random samples from the population with replacement ,  the distribution of the sample means will be approximately normally distributed.
  • When population is normally distributed , then the mean of the sampling distribution = Population mean (\mu)
  • Standard deviation of the sampling distribution = \dfrac{\sigma}{\sqrt{n}} , where \sigma =  standard deviation of the population  , n=  sample size.

So, the correct statements are:

  1. You can assume that the sampling distribution of M is normally distributed for any sample size.
  2. The standard deviation of the sampling distribution of M is equal to the standard deviation of the population divided by the square root of the sample size.
4 0
3 years ago
Maricela needs to write instructions for how to construct a regular hexagon inscribed in a circle. She begins by writing the fol
makkiz [27]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
Express the complex number 3(cos270° + i sin270°) in standard a + bi form.
Y_Kistochka [10]
Answer is choice C
The expression given is equivalent to -3i

============================================

Explanation:

Using a calculator, a reference sheet, or the unit circle, you'll find that:
cos(270) = 0
sin(270) = -1

So this means
z = 3(cos(270)+i*sin(270))
z = 3(0+i*(-1))
z = 3*0+3*i*(-1)
z = 0-3i
z = -3i
which is in a+bi form where a = 0 and b = -3
4 0
3 years ago
STOP WITH FILES! NO WEBSITE <br> ANSWER ASAP
k0ka [10]

Answer:

68.25

Step-by-step explanation:

68.25 is your answer :)

4 0
3 years ago
Read 2 more answers
As a ship approaches the dock, it forms a 70 angle between the dock and the lighthouse. At the lighthouse, an 80 angle is formed
Trava [24]

Answer:

The distance from the ship to the dock is approximately 5.24 miles

Step-by-step explanation:

From the parameters given in the question, we have;

The angle formed between the dock and the lighthouse = 70°

The angle formed between the dock and the lighthouse at the ship = 80°

The distance between dock and the lighthouse = 5 miles (From a similar question online)

By sine rule, we have;

\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} = \dfrac{c}{sin(C)}

Therefore, we have;

\dfrac{5}{sin(70^{\circ})} = \dfrac{The \ distance \ from \ the \ ship \ to \ the \ dock}{sin(80^{\circ})}

\therefore The \ distance \ from \ the \ ship \ to \ the \ dock = sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})}

sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})} \approx 5.24 \ mi

Therefore;

The distance from the ship to the dock ≈ 5.24 miles

7 0
3 years ago
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