Step-by-step explanation:
x - y + 5z = 29
y + 2z = 4
z = 7
since z = 7 we can use this value in second equation
y + 2×7 = 4 and y = -10
now we know the value of y we can solve the first equation
x -(-10) + 5×7 = 29
x + 10 + 35 = 29
x = -11
Answer:
m' (-2, 4)
n' (-2, 1)
o' (3, 1)
p' (3, 4)
Step-by-step explanation:
Answer:
Mean = 2
Standard deviation = 1.356
Step-by-step explanation:
We are given;
Probability of taxpayers that make mistakes when filling out forms: p = 0.08
Sample size; n = 25
In binomial distribution;
Means is;
μ = np
Thus;
μ = 25 × 0.08
μ = 2
Formula for standard deviation here is;
σ = √(np(1 - p))
σ = √(25 × 0.08(1 - 0.08))
σ = 1.356
If it hops 7 feet a second then it would hop 35 times in 5 seconds. 5 x 7 = 35.
Happy studying ^-^
Answer:
If Luca wants to leave a 16% tip on the total amount including the tax, he should pay $32.24.
Step-by-step explanation:
First, you have to calculate the 4% of the bill and add that amount to the total of the bill to determine the total amount including the tax:
193.75¨*4%=7.75
193.75+7.75=201.5
Now, you have to calculate 16% of the amount including the tax:
201.5*16%=32.24
According to this, the answer is that if Luca wants to leave a 16% tip on the total amount including the tax, he should pay $32.24.
