Answer:
C. 4.3 cm
Step-by-step explanation:
Since it is a right triangle you can use a²+b²=c² to solve this. Then you subtract 2 from the AC to get AD.
Answer:
1/21
Step-by-step explanation:
Cards: 2,3,4,5,6,7,8 7 cards
1st card :5
P(5) = number of 5's / total
= 1/7
Then we keep the card
Cards: 2,3,4,6,7,8 only 6 cards left
card less than 4: 2,3
P (card less than 4) = number of cards less than 4/ total cards
= 2/6 = 1/3
P (5, no replacement, card less than 4) = P(5) * P( less than 4)
= 1/7 * 1/3
=1/21
Answer:
Step-by-step explanation:
Given the following data;
Principal = $7,000
Interest = 3.5% = 3.5/100 = 0.035
To find the future value, we would use the compound interest formula;
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
Answer:
The probability that the result is positive is P=0.04475=4.475%.
Step-by-step explanation:
We have the events:
D: disease present
ND: disease not present
P: test positive
F: test false
Then, the information we have is:
P(D)=0.005
P(P | D)=0.99
P(P | ND)=0.04
The total amount of positive test are the sum of the positive when the disease is present and the false positives (positive tests when the disease is not present).

The probability that the result is positive is P=0.04475.
2. Angle Addition Postulate as they are adding both angles
3. 60 + 40 = m <ABC because it's a substitution
4. 100 = m <ABC as it is simplified already
5. Definition of obtuse angle