Answer:
1. 40%
2. The theoretical probability is 3% greater than the experimental probability.
Step-by-step explanation:
We are informed that a number cube is rolled 20 times and the number 4 is rolled 8 times. The experimental probability of rolling a 4 is;
(the number of times a 4 was rolled)/(total number of rolls)
8/20 = 0.4
0.4*100 = 40%
The experimental probability of obtaining at least one tails, one or more tails, is represented in mathematical notation as;
P(HT or TH or TT)
The above events are mutually exclusive, thus;
P(HT or TH or TT) = P(HT) + P(TH) + P( TT)
= (22+34+16)/(28+22+34+16)
= 0.72 = 72%
On the other hand, the theoretical probability of obtaining at least one tails,
P(HT or TH or TT) = 3/4
= 75%
This is because there is at least one tail in 3 out of 4 possible outcomes.
Therefore, it is true to say that the theoretical probability is 3% greater than the experimental probability.
Answer:
Step-by-step explanation:
One loan from the local bank is a three year loan with a capital of $75000 and an annual interest of 5%.
Therefore simple interest form this loan for the year will be
⇒ Principal amount×Rate of interest×Time(in years)/100
⇒ 75000×5×1/100
Interest = $3750
Other loan is a one year loan with a principal of $21000 and annual interest of 4.5%
Therefore interest of first year from this loan will be
= Principal amount×Rate of interest×Time(in years)/100
= 21000×5×4.5/100
= $4725
Total interest of first year for both loans = 3750+4725 = $8475
For this case we have the following equation:
![d (t) = 12t + 20 ](https://tex.z-dn.net/?f=d%20%28t%29%20%3D%2012t%20%2B%2020%0A)
The variables are:
t: time in hours
d (t): distance traveled in miles.
We evaluate the distance traveled after 4 hours.
So we have that for t = 4:
Answer:
d (4) = 68
This means that after 4 hours Joanna cycled for 68 miles total
Total cost = $15,867 + $(15,867 x 0.0525) = $15,867.00 + $833.02 = $16,700.02
10% of the total cost = 0.1 x $16,700.02 = $1,670.00
Principal balance = $16,700.02 - $1,670.00 = $15,030.02