Answer:
The answer to your question is below
Step-by-step explanation:
Data
Number of employees = 192
See the table
Process
a) To solve this question, consider only the employees that prefer a jacket
Male 77
Female +35
112 employees prefer a jacket
- Calculate the probability
P = 112 / 192
P = 0.58
b) Female and prefers a jacket
P = (54 /192)(35/192)
P = (0.28)(0.18)
P = 0.05
The total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.
<h3>What is invested amount?</h3>
An investment is a payment made to acquire the securities of other firms with the intention of making a profit.
We are assuming the interest will be compounded annually

Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have:
P = $7000
r = 3% = 0.03
t = 10 years
n = 1

After calculating:
A = $9407.41
I = A - P = 9407.41 - 7000 = $2,407.41
Thus, the total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.
Learn more about the invested amount here:
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Important:
The sum of the three angles inside
every triangle is always 180°.
First, look at the left triangle alone.
Two of its angles are 46° and 58° . (46° + 58° ) = 104°
That leaves (180° - 104° ) = 76° degrees for the third angle.
The third angle in that triangle is 'x'.
x = 76° .
At the point where 'x' and 'z' come together:
'x' and 'z' are a "linear pair".
Placed side-by-side, they form a straight line.
So (x + z) = 180° .
But x = 76°.
So z = (180° - 76°). z = 104° .
Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and z = 104°.
(13° + 104°) = 117° .
That leaves (180° - 117°) = 63° for the third angle.
'y' is the third angle.
y = 63° .
Answer:
2nd car is running faster than the first car by 2.01 units.
Step-by-step explanation:
Let's assume that
- the velocity of first car,

- and the velocity of second car

=> speed of first car,



= 32.01 units
and speed of second car,

= 30 units

= 2.01 units
Hence, 2nd car is running faster than the first car by 2.01 units.
Answer: a=3 & b=-2
Step-by-step explanation: