Answer:
The range is: 13. The population mean is: 8.5. The population variance is: 15.85. The population standard deviation is: 3.9812.
Step-by-step explanation:
The range: 15 - 2 = 13
The population mean is:
Mean = ( 2 + 9 + 15 + 5 + 14 + 8 + 11 + 7 + 4 + 10 ) / 10 = 8.5
The population variance ( S² or Sigma² ):
S ² = 1/10 · ( ( 2 - 8.5 )² + ( 9 - 8.5 )² + ( 15 - 8.5 )² + ( 5 - 8.5 )² + ( 14 - 8.5 )² + ( 8 - 8.5 )² + ( 11 - 8.5 )² + ( 7 - 8.5 )² + ( 4 - 8.5 )² + ( 10 - 8.5 )² )
S ² = 15.85
The population standard deviation:
S = √(S²) = √15.85 = 3.9812
Answer:
24/35
Step-by-step explanation:
1) Convert your mixed number (1 and 1/7) to an improper fraction by multiplying your whole number (1) and your denominator (7) which gives you 7. Then add your numerator (1) to that which gets you 8. Then take the original denominator (7) and turn it into improper where your new numerator is 8 and your denominator stays 7. (If that doesn't make much sense then you can look up how to change mixed numbers into improper fractions.)
2) Multiply your numbers straight across.
8/7 * 3/5
8*3= 24
7*5= 35
24/35 you can't simplify this, so 24/35 is your answer
Answer:
the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.
Step-by-step explanation:
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Answer:
a = 5.07
Step-by-step explanation:
Here, we want to get the value of the side marked a
What we have is a right triangle
so, to find the value of a, we are to use the correct trigonometric ratio
The angle given faces a, which makes a the opposite
the side measure faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects the two is the sine
The sine is the ratio of the opposite to the hypotenuse
mathematically;
sine 25 = a/12
a = 12 * sine 25
a = 5.07
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Answer:
$50.08
Step-by-step explanation:
Let x be the cheaper hat, is the more expensive hat is 2 times this value, it can be shown by 2x. The addition of these two values = 75.12
x + 2x = 75.12
3x = 75.12
Divide both sides by three to find 1x:
x = 25.04
If the more expensive hat is 2x this, then:
2 * 25.04 = 50.08
So the more expensive hat is $50.08!
<h2>Hope this helps!</h2>