Answer: 57
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Explanation:
Convert each raw score to a z score
If x = 63.4, then
z = (x-mu)/sigma
z = (63.4-72.3)/8.9
z = -1
if x = 81.2, then
z = (x-mu)/sigma
z = (81.2-72.3)/8.9
z = 1
So P(63.4 < x < 81.2) is the same as P(-1 < z < 1)
Through the empirical rule (aka the 68-95-99.7 rule), we know that roughly 68% of the data values are within one standard deviation of the mean. In other words
P(-1 < z < 1) = 0.68 approximately (see note below)
Multiply 0.68 by the total 84 to get
0.68*84 = 57.12
which rounds to 57 people
Note: we can use a calculator to get a more accurate result of 0.68268949; a data table works as well but it won't be as accurate. For the purposes of this problem, the value 0.68 is good enough
Answer:
Angles
Step-by-step explanation:
A polygon is a shape, I don't think there are conversions since a polygon is not something you can measure. A population can be counted with normal numbers, 1,2,3... density is calculated with mass and volume, not radians and degrees.... yeah.
Angles are measured in radians and degrees, so it's angles.
-7/4
Because where the next point meets is 7 across and 4 down. And since the line is going down then the slope is negative
When Determining positive and negative I like to think of it like I’m writing my name on the line, if my name goes down the line then it’s negative, but if my name is going up then it’s positive.
I hope this helps
Answer:
her weekly allowance is $16
Step-by-step explanation:
Let x represent Imani's weekly allowance.
Imani spent half of her weekly allowance playing Mini-golf. This means that the total amount that she spent playing Mini-golf is x/2. The amount that she is left with would be
x - x/2 = x/2
In order to earn more money her parents let her wash the car for $4. This means that the total amount left with her is
x/2 + 4
if she ended with $12, it means that
x/2 + 4 = 12
x/2 = 12 - 4 = 8
x = 2 × 8 = $16