Answer:
$23.00
Step-by-step explanation:
Formula: -13 + d = 10 (d = deposit)
To get d by itself, add 13 to 10: d = 23
Therefore, you need to deposit $23.00.
Answer:
The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What is the minimum weight for a passenger who outweighs at least 90% of the other passengers?
90th percentile
The 90th percentile is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. So




The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds
Answer:
infinitely many solutions
Step-by-step explanation:
Let's eliminate the fractional coefficient in the first equation by multiplying that equation by 4:
4y = 6x - 4
The second equation can be rewritten as 4y = 6x - 4, so the two equations are actually identical. They have infinitely many solutions.
Answer:
x =
25
/(1 − sin(y
)) and y ≠
π/2 +2πn
Step-by-step explanation:
Let's solve and simplify for x,
(x − 25
)/ x = sin(y)
Let's multiply both sides by x
((x − 25
)/x) *x= sin(y)*x
Then,
x − 25 = sin(y) * x
Let's add 25 to both sides
x − 25 + 25 = sin(y) * x + 25
If simplify again,
x = sin(y) * x + 25
Then we need subtract sin y x from both sides
x − sin(y) * x = sin (y)* x + 25 − sin (y)* x
It will equal:
x − sin (y)* x = 25
Factor x−sin(y) x: x(1−sin(y) ), then we get:
x (1 − sin(y)) = 25
Finally we need divide both sides by 1 − sin(y) ; y ≠π
/2
+ 2πn
And it will give us this equation:
x =
25
/(1 − sin(y
)) and y ≠
π/2 +2πn
Answer: 16 fl. oz.
Step-by-step explanation:
There are 128 fl. oz. in one gallon. Divide that by the serving size, 8 fl. oz., and you get 16.