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lisov135 [29]
2 years ago
11

There are frogs and koi in a pond, and the number of frogs and the number of koi in the pond are independent. Let X represent th

e number of frogs in any given week, and let Y represent the number of koi in any given week. X has a mean of 28 with a standard deviation of 2.7, and Y has a mean of 15 with a standard deviation of 1.6. Which answer choice correctly calculates and interprets the standard deviation of the difference, D = X - Y?
Sigma Subscript D = 1.05; this pond can expect the difference of frogs and koi to vary by approximately 1.05 from the mean.
Sigma Subscript D = 1.1; this pond can expect the difference of frogs and koi to vary by approximately 1.1 from the mean.
Sigma Subscript D = 3.1; this pond can expect the difference of frogs and koi to vary by approximately 3.1 from the mean.
Sigma Subscript D = 13; this pond can expect the difference of frogs and koi to vary by approximately 1.05 from the mean.
Mathematics
1 answer:
brilliants [131]2 years ago
5 0

Answer: = 3.1; this pond can expect the difference of frogs and koi to vary by approximately 3.1 from the mean.

Step-by-step explanation:

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8x + 5y = 22<br> -8x + y = 14
finlep [7]

Answer:

Y = 6 X=-1

Step-by-step explanation:

  1. Add the numbers 8x+-8x=0. 5y+y=6y. 22+14=36
  2. So that means 6y=36. So Y would equal 6
  3. Substitute the values it one of the original equations. 8x + 5(6) =22. 8x+30=22
  4. Minus 22 from both sides.
  5. That would give you 8x=-8
  6. So x would equal - 1
3 0
2 years ago
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Q. A room measure 3m 55cm by 2m 25 cm. What is the perimeter of the room?
Bond [772]

Answer:

100cm = 1m

Thus, one more step should be added to your working to arrive at the final answer:

Perimeter

= 10m 160cm

= 11m 60cm

This is because 160cm= 100cm +60cm, which is also equivalent to 1m 60cm.

Alternative working:

Convert all the units to cm first.

\boxed{1 \: m= 100 \: cm}

Length

= 5m 55cm

= 300cm +55cm

= 355cm

Breadth

= 2m 25cm

= 200cm +25cm

= 225cm

Perimeter

= 2(length +breadth)

= 2(355 cm +225 cm)

= 2(580 cm)

= 1160 cm

= 11m 60cm

From the second last step to the last step, you could divide 1160 by 100 to find how many meters are there. You would get a quotient of 11 and a remainder of 60. Since this 60 cannot be changed into meters as a whole number, we can leave it as 11m 60cm. Otherwise, it is also correct to leave it as 1160cm or 11.6m unless otherwise stated.

However, 10m 160cm is not preferred since the conversion of cm to m is done partially, as the 160 cm can still be further simplified.

8 0
2 years ago
You earned an 82% on a math test. You answered 18 questions correctly.How many questions were on the test
Nadya [2.5K]

Answer:

22

Step-by-step explanation:

The easiest way to do this is to multiply the number you got right by 1+ the percent you got wrong. In this case it would be 1+.18. If you multiply 18 by 1.18 you get 21.24. Because you cant have part of a question you need to round up. To check you can divide 18 by 22 and you get 81.81. I hope this helps!

4 0
3 years ago
What is the measure of each angle? Show your work!
nalin [4]

Answer:

pos: 99.  Sor: 17.    roq: 64

Step-by-step explanation:

(5x+4)+(x-2)+(3x+7)=180

we add the angles to 180 because straight lines are equal to 180

5x+4+x-2+3x+7=180

5x+x+3x+4-2+7=180

9x+9=180

9x=

9x=171

x=19

then we plug x in

5(19)+4 +  (19)-2  +3(19)+7 = 180

angles (left right)

99.   17.     64.      

6 0
3 years ago
(2/7×8/4)+2/3÷(2/6×3/6+1/6)​
Julli [10]

Answer:

Answer attached

Step-by-step explanation:

3 0
3 years ago
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