Answer:
a)
H - H - H
H - H - T
H - T - H
H - T - T
T - H - H
T - H - T
T - T - H
T - T - T
b)
0.125 = 12.5% probability that all three coins come up heads.
0.875 = 87.5% probability that there will be at least one tail.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Question a:
Considering H for heads, T for tails:
H - H - H
H - H - T
H - T - H
H - T - T
T - H - H
T - H - T
T - T - H
T - T - T
(b) What is the probability that all three coins come up heads?
One outcome(H - H - H) out of 8, so:
0.125 = 12.5% probability that all three coins come up heads.
Notice that the complement of the event "3 heads" is "at least one tail." Use this information to compute the probability that there will be at least one tail.
Sum of these probabilities is 100%, so:
1 - 0.125 = 0.875
0.875 = 87.5% probability that there will be at least one tail.
<span>If
a quantity increases by 25% and then decreases by 25%, will that result be the
original quantity? Explain.
Let’s try to be able to know the answer:
=> Let’s have 10 as the value
Increase by 25%
=> 10 + 25%
=> 10 * .25 = 2.5
=> 10 + 2.5 = 12.5 the new value
Now, decrease this by 25%
=> 12.5 – 25%
=> 12.5 * .25 = 3.125
=> 12.5 – 3.125 = 9.375 or 9.4
Thus, the given statement is false.
</span>
Answer:
Total amount in Joe's savings account T = $448
Step-by-step explanation:
Given;
time t = 3 years
Annual rate r = 4%
Principal P = $400
Simple interest can be expressed as;
I = Prt/100
Substituting the given values;
I =400×4×3/100 = 4800/100
I = $48
Total amount in account T;
T = P + I = $400 + $48 = $448
To model this situation, we are going to use the exponential function:
where
is the initial number of cars
is the growing rate in decimal form
is number of tames the growing rate is increasing per year
is the time in years
To convert the growing rate to decimal form, we are going to divide the rate by 100%
Since the growing rate is increasing quarterly,
. We also know that the initial number of cars is 920, so
. Lets replace all those values in our function:
We can conclude that:
Rate ---------> The quarterly rate of growth is 0.03 or 3%
Exponent --------> The compound periods multiplied by the number of years is 4t
Coefficient--------> The initial number of cars serviced is 920
Base------> The growth factor is represented by 1.03
Answer:
Right angle, and angle IJK
Step-by-step explanation:
