Answer:
In order to satisfy this distribution we need that each observation on this case comes from a normal distribution, because since the sample size is not large enough we can't apply the central limit theorem.
Step-by-step explanation:
For this case we have that the sample size is n =6
The sample man is defined as :
And we want a normal distribution for the sample mean
In order to satisfy this distribution we need that each observation on this case comes from a normal distribution, because since the sample size is not large enough we can't apply the central limit theorem.
So for this case we need to satisfy the following condition:
Because if we find the parameters we got:
And the deviation would be:
And we satisfy the condition:
The second statement is:
B: a + b = b + a
Which is the commutative property, so we know that this statement is true.
<h3>
Which statement is always true?</h3>
Remember that for integer numbers, we have the following properties:
- Commutative property: A + B = B + A
- Associative property: (A + B) + C = A + (B + C)
Now, in this case we know that a and b are integer numbers, first we can see that the second statement is:
B: a + b = b + a
Which is the commutative property, so we know that this statement is true.
The other 3 statements are false. You can see it by evaluating a = 0 and b = 1.
If you want to learn more about addition:
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The answer is 393.5
Estimate it to 800 divided by 2
Answers:
======================================================
How to get those answers:
Let w be the unknown width in centimeters. This variable is some positive real number. This means w > 0 which will be useful later.
The length is "1 cm less than 3 times its width" and it tells us the length is defined by the expression 3w-1. Whatever w is, we triple it to get 3w and then subtract 1 to get the final length.
Multiply the length and width to get the area 102
length*width = area
(3w-1)*w = 102
3w^2-w = 102
3w^2-w-102 = 0
We could guess and check our way to factoring this, but that's not very efficient. The quadratic formula is the better option. It may seem a bit messy, but it's a more direct path that doesn't involve guessing.
We ignore the second solution (w = -5.667 approximately) because we stated earlier that w > 0. In other words, a negative length does not make sense, so that's why we ignore it.
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If w = 6 cm is the width, then 3w-1 = 3*6-1 = 18-1 = 17 cm is the length.
Note that length*width = 17*6 = 102 which is the proper area we want. This confirms the answers.
Answer:
A) 40 + d
B) 45 days
Step-by-step explanation:
A)
total cost = (cost of the air conditioner itself) + (money charged per day)*(days)
cost of air conditioner itself = $40
money charged per day = $1
days = d
40 + 1*d
= 40 + d
B)
total cost = 40 + d
total cost = $85
85 = 40 + d
45 = d
Time used the air conditioner for 45 days.
