The probability that all three people surveyed is an independent probability and the calculated probability is 0.1225
The probability a surveyed driver is worried = 35%
- Number of people surveyed = 3
Since the probability of being worried is independent ;
- Probability = P(A) × P(B) × P(C)
The probability that all 3 surveyed are worried :
- P(worried) × P(worried) × P(worried)
- (0.35 × 0.35 × 0.35) = 0.1225
Therefore, the probability that all three people surveyed are worried is : 0.1225
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The diameter of the bowling ball will be 3 times greater than the baseball
This can be solve by using the formula
D = P( 1 – i)^n
Where d is the depreciation value after n years
P is the initial value
i is the depreciation rate
n is the years
D = 1/3 ( 1800)
D = 600
So
600 = 1800 ( 1- 0.45)^n
Solve for n
<span>N = 1.83 years</span>
Answer: m∠CAD = 81°
Step-by-step explanation: <u>Diagonal</u> is a line that unites opposite sides.
ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.
The figure below shows ABCD with its diagonals.
Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So
m∠BAC = m∠CAD
4x + 5 = 5x - 14
x = 19
Then, m∠CAD is
m∠CAD = 5(19) - 14
m∠CAD = 81
The angle m∠CAD is 81°.
Answer:
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