Answer:
8 + 4 ÷ (-24) × (3) - 4 = 35
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
We are given the logarithmic expression:
We are also given by the problem that:
From the expression, we will simplify it using two properties:
Therefore, apply the properties to simplify:
Next, we will use another property to take an exponent as a coefficient:
Hence:
Substitute what are given in the problem and the answer will be:
Hence, the answer is 24.
Answer:
The height of the boat ramp is 25 feet
Step-by-step explanation:
we know that
In the right triangle ABC
Let
h the height of the boat ramp in feet
see the attached figure
----> SOH (opposite side divided by the hypotenuse)
solve for h
Answer: P(odd) = 0.499
Step-by-step explanation:
Given:
Total number of people = 20
Number of men = 12
Number of women = 8
Number of jury to be selected = 6
For the jury to have an odd number of women. it must have either of the three.
1. 1 woman , 5 men
2. 3 women, 3 men
3. 5 women, 1 man
The total possible ways of selecting the 6 people jury is;
N = 20C6 = 20!/6!(20-6)!
N = 38760
The possible ways of selecting;
Case 1 : 1 woman, 5 men
N1 = 8C1 × 12C5
N1 = 8 × 792 = 6336
Case 2 : 3 women , 3 men
N2 = 8C3 × 12C3
N2 = 12320
Case 3 : 5 women, 1 man
N3 = 8C5 × 12C1
N3 = 672
P(Odd) = (N1+N2+N3)/N
P(odd) = (6336+12320+672)/38760
P(odd) = 19328/38760
P(odd) = 0.499