A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. Find the value that is –2 standard deviations away from the mean.

Answers

Answer 1
Answer: 45+8.3 = 53.3 

45 - (2(8.3)) = 28.4

The value is 
 28.4 that is –2 standard deviations away from the mean.

Answer 2
Answer:

Answer: 28.4

Step-by-step explanation:

Given : A set of data with a mean of \mu= 45and a standard deviation of  \sigma=8.3 is normally distributed.

Now, the value that is –2 standard deviations away from the mean is given by :-

x=\mu-2\sigma\n\n\Rightrrrow\ x=45-2(8.3)\n\n\Rightarrow\ x=45-16.6\n\n\Rightrrrow\ x=28.4

Hence, the value that is –2 standard deviations away from the mean. = 28.4


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Which is the best estimate of11 1/5 and 2 3/4

Find the length of BC.
A)8
B)12
C)16
D)18

Answers

Answer:

i think its A (edit: im gonna take that back because i was looking at the wrong side, logically it is 12)

Step-by-step explanation:

Answer:

B. 12

Step-by-step explanation:

logically speaking is 12

What is the gcf of 4? this is worth 25 points I think

Answers

Answer:

The greatest common factor of 4 is 4

Step-by-step explanation:

1*4

2*2

4 is the biggest number that goes into 4

Camille uses a 20% off coupon when buying a sweater that costs $47.99. If she also pays 6% sales tax on the purchase, how much does she pay?

Answers

47.99-20%×47.99= $38.392 = a (price after being discounted)

Final price = a+ 6%×a = $40.69552

The product of 13 and m plus the product of 2.7 and n

Answers

Answer:

13 m + 2.7 n.

Step-by-step explanation:

Given  : the product of 13 and m plus the product of 2.7 and n

To find : Write expression .

Solution : We have given

Product of 13 and m = 13 * m

Product of 2.7 and n = 2.7 * n

According to question :

Sum of Product of 13 and m and Product of 2.7 and n

13 *m + 2.7 *n

13 m + 2.7 n.

Therefore, 13 m + 2.7 n.

13m+2.7n

If thats what you need

Pls help me on this!

Answers

Answer:

The answer is A

Step-by-step explanation:

You would measure earth's mass is kg and not in g , mg or mcg

The number x of stereo speakers a retail chain is willing to sell per week at a price of p dollars is given by. Find the supply and instantaneous rate of change of supply when the price is 75 dollars?

Answers

Answer:

Please find below the complete question:

The number  x  of stereo speakers a retail chain is willing to sell per week at a price of  p  dollars is given by  x  =  80√(p+27)  −  410.  Find the supply and instantaneous rate of change of supply when the price is  75  dollars.

Supply = 398

Instantaneous rate of change of supply=3.96

Step-by-step explanation:

x=80√(p+27) -410

Supply when price = $75

x=80√(75+27) -410 = x=80√(102) -410\n\nx = 80(10.1) -410= 808-410\n\nx = 398

Supply = 398 stereo speakers

To get the instantaneous rate of supply, we differentiate the supply, x, with respect to price, p

(dx)/(dp) = (d)/(dp)(80√(p+27) -410)\n\n(dx)/(dp) = (d)/(dp)(80(p+27)^(1/2) -410)

Using chain rule, we have

(x)/(y) (dx)/(dp)=(d)/(dp)( 80(p+27)^(1/2)) - (d)/(dp)(410) \n\n(dx)/(dp)=80((1)/(2))(p+27)^(-1/2) - 0\n\n(dx)/(dp)=(40)/(√(p+27) ) \n

At p = $75

(dx)/(dp)=(40)/(√(75+27) )=(40)/(√(102) )\n\n(dx)/(dp)=(40)/(10.1) = 3.96\n\n(dx)/(dp)=3.96

The question is not complete and the complete question says:

The number  x  of stereo speakers a retail chain is willing to sell per week at a price of  p  dollars is given by x=80√(p+27) − 410 Find the supply and instantaneous rate of change of supply when the price is  75  dollars

Answer:

A) Approximately 398 stereo speakers

B) Instantaneous rate of change = 3.961

Step-by-step explanation:

From the question, the number of speakers is given as;

x=80√(p+27) − 410

A) Thus at a price of $75,

The amount supplied will be;

x = 80√(75+27) − 410

x = 80√(102) - 410

x = (80 x 10.0995) - 410

x = 807.96 - 410 = 397.96 ≈ 398 stereo speakers

B) The instantaneous rate of change is given as;

dx/dp of the supply equation.

Thus, let's rearrange the supply equation first before differentiating.

So, x = 80√(p+27) − 410

x = 80[(p +27)^(1/2)] - 410

So, dx/dp = [(80 x 1/2) (p + 27)^(-1/2)]

dx/dp = 40/√(p+27)

So, at price of $75,

dx/dp = 40/√(75+27) = 40/√102

= 40/10.0995 = 3.961