Answer:
31.92%
Step-by-step explanation:
We are given;
Population mean; μ = $3.12
Sample mean; x¯ = $3.16
Sample size; n = 10
Standard deviation; σ = $0.27
Z-score formula is; z = (x¯ - μ)/(σ/√n)
z = (3.16 - 3.12)/(0.27/√10)
z = 0.04/(0.08538)
z ≈ 0.47
Now, the percent of other sample means, based on 10 gas stations, that would be greater than the one observed is;
P(x¯ > 3.12) = 1 - P(z < 0.47)
From z-table attached P(z < 0.47) = 0.68082
Thus;
P(z > 0.47) = 1 - 0.68082
P(z > 0.47) ≈ 0.3192
This expressed in percentage is 31.92%
-- The person in the audience will either win tickets or not win tickets.
-- The probability of (either win tickets or not win tickets) is 100%.
-- (Probability of win tickets) plus (probability of not win tickets) = 100%.
-- If (probability of win tickets) is 15%, then the (probability of not win tickets)
is the other 85%.
Unknown = x
the quotient of x and 12 is x/12 than 49 more than that is 53,
(x/12)+49=53, now use basic math and solve
-49 from both side,
x/12=4
*12 to both side,
x=48
therefore the unknown number is 48
Answer:
Step-by-step explanation:
You want to leave a 15% tip on a meal that cost $48.
First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.
Second, you need to find out what 15% of your $48 meal cost is.This is always done by multiplying 0.15 by $48.00, or
0.15 x $48.00=$7.20.
So, the amount of tip you are going to leave is $7.20.
This makes the total cost of your meal (to write on your charge slip or other payment)
$48.00 + $7.20 = $55.20.
i hope this may come to use to your rude a s s
Answer:
A rational expression that has the nonpermissible values 
and 
is 
.
Step-by-step explanation:
A rational expression has a nonpermissible value when for a given value of 
, the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:
(1)
Then, the factorized form of 
must be:
(2)
If we know that 
, then the rational expression is:
(3)
A rational expression that has the nonpermissible values and is .
