Answer:
We have 7n < 6 - 48;
7n < - 42;
n < -6;
Then, 3n - 4 ≤ 8;
3n ≤ 12;
n ≤ 4;
Step-by-step explanation:
$17.49 because you multiply 22 by .25 getting 5.5. You subtract that from the original 22 getting 16.5 which you then multiply by the sales tax .06. Add the tax amount to the 16.5 to get 17.49.
Answer:
A. v= $3,995.72 - $1,838.03
Step-by-step explanation:
Given:
fixed expenses: $1,838.03
total expenses: $3,995.72
We need to find the amount of Variable expense (v).
Now We know that;
Variable expense (v) can be calculated by Subtracting Fixed expense form Total expense.
framing in equation form we get;
Variable expense (v) = total expenses - fixed expenses.
Variable expense (v) = $3,995.72 - $1,838.03 = $2,157.69
Hence The equation represents Jessie's variable expense (v) = $3,995.72 - $1,838.03
Answer:
This is approximately 
to the nearest hundredth
Step-by-step explanation:
First of all, we will need to understand that to find the lateral surface area of the cylinder, we simply need to multiply the circumference of the circular base by the height of the cylinder.
In this case, the circumference of the circular base can be obtained by the formula
Hence we will have the circumference as 
Tp get the Lateral area, we will simply have to multiply this value (7.85 feet )
by the height (4.8 feet)
7.85 X 4.8 =
This is approximately to the nearest hundredth
Answer:
0.5 ; 0.475 ; 0.689 ; 0.4013
Step-by-step explanation:
Given that:
Rate of production of defective batteries p = 0.05
Number of batteries produced (n) = 10
The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries
Variance of defective batteries :
Var(X) = n * p * q ; q = 1 - p
Hence,
Var(X) = 10 * 0.05 * 0.95 = 0.475
Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689
Probability that atleast 1 battery is defective :
Using the binomial probability function
P(x ≥ 1) = 1 - p(x = 0)
= 1 - q^n
= 1 - 0.95^10
= 1 - 0.59873693923837890625
= 0.40126306076162109375
= 0.4013
