A=P(1+rt)
P=3500
t=3yrs.
r=7.5% / 100 = 0.075
A= 3500(1 + (0.075 x 3)) = 4287.5
A= $ 4,287.50
Answer:
0.33411
The probability that a particular criminal trial lasted atleast 24 days is 0.33411
Step-by-step explanation:
The random variable X is normally distributed with a mean of 21 and standard deviation of 7
;
X ~ N(μ = 21 ; σ = 7)
X ~ N(21, 7)
Probability that a trial lasted atleast 24 days :
P(X ≥ 24) :
The standardized score :
Z = (x - μ) / σ ; (24 - 21) / 7 ; 3 / 7 = 0.4286
Hence,
P(Z ≥ 0.4286) = 0.33411
The probability that a particular criminal trial lasted atleast 24 days is 0.33411
Answer:
The measure of Arc EH is 123°.
Step-by-step explanation:
Consider the diagram below.
It is provided that ∠EDH ≅ ∠EDG.
This implies that: ∠EDH = ∠EDG
The arc measure is same as the measure of the central angle.
That is:
arc FE = ∠EDF = 57°
arc FG = ∠FDG = 66°
Compute the measure of angle ∠EDH as follows:
arc EH = ∠EDH
=∠EDG
= ∠EDF + ∠FDG
= 57° + 66°
= 123°
Thus, the measure of Arc EH is 123°.
The mean is 85*0.39 = 33.15, while the standard error is sqrt(0.39*0.61/85) = 0.0529. Using the z-score of 1.96, the confidence interval is:33.15 +/- 1.96*0.0529 = (33.05, 33.25)By dividing by 85, this corresponds to a proportion of:(0.3888, 0.3912)
The answer is 13. To figure this out I used 10 notebooks sold as a guide. I knew the answer could not be 10, because $27.95/10 was not a number stopping in the hundredths place (or a true money amount).
I tried numbers greater than 10 using a trial and error strategy until I got to 13 notebooks sold and found that it $27.95 was divisible by 13 to get an answer between $2 and $3 ($2.15 exactly).