Answer:
7
Step-by-step explanation:
10,the largest number minus 3 the smallest is 7
Answer:
$74 is the store owners profit
Step-by-step explanation:
25 (caculators) × $32 ( calculator cost)=$800 [(how much they costed when the owner order them it costed him $800)]
22 ( calculator that he sold) × $40 ( calculator cost) = $880 [( how much he made when he old them)]
$880-$6 ( because he had to return three calculators that he could not sell and had to pay a $2 charge for every one he return 3 (calculator)= $6) =$874(how much he made after selling that calculators
$874 - $800= $74
( he bought the cacaulators for $800 and sold them for $874 so you have to subtract the $800 dollars that he had to buy the calculators for, he made $74 )
Answer:
Total amount that Matthew's bank will receive is $10099.81.
Step-by-step explanation:
We need to find the amount Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually.
The formula for compound interest is:
![A=P(1+r)^n](https://tex.z-dn.net/?f=A%3DP%281%2Br%29%5En)
Where A = future value
P= Principal Amount
r = interest rate
and n= time
So in the question we are given:
P= $8000
r = 6% or 0.06
t = 4 (since 4 yeras compounded annually)
A= 8000*(1+0.06)^4
A= 8000*(1.06)^4
A= 10099.81
So, total amount that Matthew's bank will receive is $10099.81.
Answer: the distance traveled on the return trip is 70 miles.
Step-by-step explanation:
Let d represent the distance travelled along the side streets.
Let t represent the time spent travelling along the side street
Traveling the side streets, she avaraged 20 mph.
Distance = speed × time
Therefore, distance travelled along the side streets is
d = 40t
On the return trip, Rob's truck took the freeway, averaging 50 mph. The freeway distance is 2 miles less than the distance on the side streets and they saved 24 minutes(24/60 = 0.4 hours). It means that the distance travelled on the return trip is (d - 2) miles and the time spent is
(t - 0.4) hours. Therefore
d - 2 = 50(t - 0.4)
d - 2 = 50t - 20 - - - - - - - - - - -1
Substituting d = 40t into equation 1, it becomes
40t - 2 = 50t - 20
50t - 40t = - 2 + 20
10t = 18
t = 18/10 = 1.8
d = 40t = 40 × 1.8
d = 72
The distance on the return trip is
72 - 2 = 70 miles.
(a)
The binomial distribution can be used because the current situation satisfies all of the following:
1. The probability of success (p=85%) is known and remains constant during the whole experiment
2. The number of trials (n=40) is known and constant.
3. Each trial is a bernoulli trial (success or failure only)
4. All trials are (assumed) independent of each other.
The probability of x successes is therefore
P(X=x)=C(n,x)(p^x)(1-p)^(n-x)
(b) P(X=35) means the probability of 35 successes out of 40 trials at p=0.85
and
P(X=35)=C(40,35)*0.85^35*0.15^5=658008*0.003386*0.00007594
=0.16918
(c) P(X>=35)=∑ P(X=i) for i=35 to 40
=0.16918+0.13315+0.08157+0.03649+0.01060+0.00150
=0.4325
(d) P(X<20)=∑ P(X=i) for i=0 to 19
=0.00000003513 (individual probabilities are very small).