Answer:
Vertical angles
Step-by-step explanation:
Step-by-step explanation:
15.5 feet to meter =4.7244
Answer:
33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution
Step-by-step explanation:
Set up two equations...
Let x represent the number of Liters of the 40% solution
Let y represent the number of Liters of the 25% solution
We need 50 liters total, so
x + y = 50
and we need the 50 L to be 35% solution, so
0.4x = 0.25y = 0.35(50)
Solve the first equation for one variable...
x = 50 - y (subtract y from both sides in equation 1)
Now substitute that value into the second equation...
0.4(50 - y) + 0.25y = 17.5 (x becomes 50 - y, 0.35(50) = 17.5)
Now solve for y...
20 - 0.4y + 0.25y = 17.5
-0.15y = -2.5
y = 16.66666667
y = 16 2/3 L
So we need to plug that into the first equation to find 'x'
x + 16 2/3 = 50
x = 50 - 16 2/3
x = 33 1/3
- I) the probability that the person is female is 8.33%.
- II) the probability that the person has a risk factor heterosexual contact is 6.40%.
- III) the probability that the person is female or has a risk factor of IV drug user is 23.47%.
- IV) the probability that the person is female and has a risk factor of homosexual is 0%.
- V) the probability that the person is male and has a risk factor of IV drug user is 15.13%.
- VI) the probability that the person is female given that the person got the disease from heterosexual contact is 69.38%.
Given the data mentioned in the table, the following calculations must be performed to obtain the requested probabilities:
I.-
(0 + 70 + 136 + 49) / (2,146 + 463 + 60 + 135 + 0 + 70 + 136 + 49) = X
255/3059 = X
0.0833 = X
II.-
196/3059 = X
0.0640 = X
III.-
(255 + 463) / 3059 = X
718/3059 = X
0.2347 = X
IV.-
0/3059 = X
0 = X
V.-
463/3059 = X
0.1513 = X
VI.-
136/196 = X
0.6938 = X
Therefore, I) the probability that the person is female is 8.33%, II) the probability that the person has a risk factor heterosexual contact is 6.40%, III) the probability that the person is female or has a risk factor of IV drug user is 23.47%, IV) the probability that the person is female and has a risk factor of homosexual is 0%, V) the probability that the person is male and has a risk factor of IV drug user is 15.13%, and VI) the probability that the person is female given that the person got the disease from heterosexual contact is 69.38%.
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Answer:
85 in intreset and 935 totoal
Step-by-step explanation:
Answer:
A = $935.00
I = A - P = $85.00
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year.
Solving our equation:
A = 850(1 + (0.05 × 2)) = 935
A = $935.00
The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.
