Answer:
a. Please refer to the diagram below
b. 0.385875
Step-by-step explanation:
The tree diagram is shown below.
To calculate the probability of at least one sale to the three customers, we have to ways. The easier way is to calculate the probability of no sales to three and subtract the value from one:
Other way is to calculate the sum of following probabilities:
One sale + Two sale + Three sale.
For the probability, please refer to the tree diagram. If moving to the sub branch of the previous branch, we multiply the probability; otherwise we add.
Problem 11
<h3>Answer: h =
2A/b</h3>
------------------
Explanation:
We need to get h by itself. To do so, we first multiply both sides by 2. Then we divide both sides by b
A = (1/2)*b*h
2A = b*h
b*h = 2A
h = 2A/b
================================================
Problem 12
<h3>Answers:</h3>
- Equation: (n+2)/5 = 14
- Solution to that equation: n = 68
------------------
Explanation:
The number n is increased by 2 to get n+2
Then we divide by 5 to get (n+2)/5
This is set equal to 14 to get the equation (n+2)/5 = 14
Solving the equation would look like this
(n+2)/5 = 14
n+2 = 5*14 .... multiply both sides by 5
n+2 = 70
n = 70-2 .... subtract 2 from both sides
n = 68
================================================
Problem 13
<h3>Answer: Not a solution</h3>
------------------
Explanation:
We'll replace every copy of x with -3 and simplify
-2x + 5 > 13
-2*(-3) + 5 > 13
6 + 5 > 13
11 > 13
The last inequality is false because 11 is not greater than 13. Since the last inequality is false, this makes the first inequality false when x = -3.
Therefore, x = -3 is not a solution.
Answer:
Step-by-step explanation:
let the number=x
4>3x-5
9>3x
3x<9
x<3
Perimeter: 2l+2w=P
Plug in: 2(35)+3(22)=P
Solve: 70+66=136
The total perimeter of his yard is 136 feet.
Half times $7.25: 136/2=68(7.25)=493
The total cost for half his yard is $493 :)
Answer:
There will be a 100 branches on tree in approximately 12 years.
Step-by-step explanation:
Concluding part of the question
In how many years will the number of branches be 100?
Solution
N(t)=38 × (9/5) ^ t/7.3
N(t)=38 × (1.8) ^ t/7.3
a) N = 100, t = ?
100 = 38 × (1.8) ^ (t/7.3)
(100/38) = (1.8) ^ (t/7.3)
2.632 = (1.8) ^ (t/7.3)
Taking the natural logarithms of both sides,
In 2.632 = In [(1.8) ^ (t/7.3)]
0.9676 = (t/7.3) × In 1.8
0.9676 = (t/7.3) × 0.5878
t = (0.9676 × 7.3) ÷ 0.5878
t = 12.02 years = 12 years.
Hope this Helps!!!