Correct Answer:
The data value must be less than the mean.
The formula for the z value is:
z-value = (Data value - Mean) / Standard Deviation
The z-value will be negative when the Numerator of the above expression will be negative. The numerator will be negative only when the Data Value is less than the mean value. For example, for a data value of 5 and mean value 8, the numerator will be -3, and when it will be divided by standard deviation, the resulting z value will be negative.
So, Third option is the correct answer.
There are 25 $10 bills and 11 $20 bills.
Step-by-step explanation:
Given,
Worth of proceeds from garage = $470
Let,
x be the number of $10 bills
y be the number of $20 bills.
According to given situation;
10x+20y=470 Eqn 1
x = y+14 Eqn 2
Putting value of x from Eqn 2 in Eqn 1

Dividing both sides by 30

Putting y=11 in Eqn 2

There are 25 $10 bills and 11 $20 bills.
Keywords: linear equation, substitution method
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Answer:
$49
Step-by-step explanation:
Given that the discounted price is $43.61 and this was at an 11% discount
hence the discounted price represents 100% - 11% = 89% of the original price.
if:
89% of original price = $43.61
1% of original price = $(43.61 / 89)
100% of original price = $(43.61 / 89) x 100 = $49
Answer:
Nickel has 54 cents and Alex has 216 cents.
Step-by-step explanation:
Hope it helps u :)
Answer:
D
Step-by-step explanation: