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ruslelena [56]
3 years ago
12

A random sample is made of 256 middle managers concerning their annual incomes. The sample mean is computed to be $35,420. If th

e population standard deviation is $2,050. What is the standard error of the mean?
a. $128.125
b. $138.36
c. $2.050
d. $8.01
Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

Answer: a. $128.125

Step-by-step explanation:

The standard error of the mean is given by :

SE=\dfrac{\sigma}{\sqrt{n}} , where \sigma = population standard deviation , n= sample size.

Given: \sigma=\$2,050

n= 256

Then, the standard error of the mean:-

SE=\dfrac{2050}{\sqrt{256}}\\\\=\dfrac{2050}{16}=\$128.125

Hence, option a. is correct.

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Help me !?! I don’t get it
emmasim [6.3K]

Answer:

11) x = 11

12) x = 11

Step-by-step explanation:

11) Δ RQP and Δ RLK are similar.

Hence, the ratios of the corresponding sides of the two triangles will be constant.

So, \frac{RK}{PR} = \frac{RL}{QR}

⇒ \frac{x - 4}{49} = \frac{11}{77}

⇒ \frac{x - 4}{49} = \frac{1}{7}

⇒ x - 4 = 7

⇒ x = 11 (Answer)

12) Δ QRS and Δ QDC are similar.

So, \frac{QD}{QR} = \frac{QC}{QS}

⇒ \frac{2x - 14}{32} = \frac{6}{24}

⇒ 2x - 14 = 8

⇒ 2x = 22

⇒ x = 11 (Answer)

5 0
3 years ago
40÷12.0 and 32÷8.75. I need to show my work to.​
devlian [24]

Answer:

40÷12.0=3.333333333

32÷8.75=3.657142857

Step-by-step explanation:

you have to carry and keep adding the extras till you get rid of all of your numbers and this is what you'll get :)

3 0
2 years ago
I really need help!!!!
Brilliant_brown [7]
Check out the attached image for the answers. 

-----------------------

Statement 2 is blank, but it has the reasoning "Corresponding angles postulate"
Because BD || AE, we know that the corresponding angles are congruent. 
One pair of corresponding angles is angle 1 and angle 4. This is because they are on the same side of the transversal AC and they are both above their parallel line counter-part. Similarly, angle 2 and angle 3 are another corresponding pair.
So you'll have "angle1=angle4, angle3=angle2" in the first blank slot

-----------------------

Reason 3 is blank. The statement is that triangle ACE is similar to triangle BCD. The reason why the are similar is the AA (angle angle) similarity postulate. This says that if you know two pairs of angles are congruent, then the triangles are similar. The two pairs of angles were mentioned back on the previous line (line 2)
So you'll put "Angle-Angle Similarity Postulate" in the second blank.

-----------------------

Look at the line just above the last line. Here we have
1 + (BA/CB) = 1 + (DE/CD)
If we subtract 1 from both sides, we end up with,
BA/CB = DE/CD
which is what will go in the last blank space

Side Note: The last statement will always be what you want to prove. So you can just look at the very top of the problem where it says "Prove:" under the "Given" part. Then just copy/paste the statement you want to prove, which in this case is BA/CB = DE/CD

4 0
3 years ago
Which equation is a function of x?
GrogVix [38]

Answer:

a because a variable cannot be a variable

6 0
3 years ago
Read 2 more answers
For what value(s) of k will the relation not be a function?<br> A = {(3k−4, 16), (4k, 32)}
KiRa [710]

We won't have a function if for same value of x in (x,y) we get different values y.

So first step: figure out k so that the first coordinate (x) is the same:

3k-4=4k    | solve for k

k = -4

no check the values y for the elements of the relation

x = 3k-4 = -12-4=-16

so at -16 we get (-16,16) and (-16, 32), which mean for k=-4 the relation is not a function.

Let me know if you have any questions.


7 0
2 years ago
Read 2 more answers
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