Answer:
Bonds: $42,000
Certificates of deposit: $41,000
Step-by-step explanation:
Total invested = Amount in bonds + Amount in CDs
Amount in bonds = Amount in CDs + 1000
Let the amount in bonds = B and the amount in CDs = C
1. 83,000 = B + C
2. B = C+1000
Since the above expression (#2) defines B, you can substitute it for the B in the first equation (#1).
83,000 = C + 1000 + C
Now, you can solve for C.
83,000 = 2C + 1000
82,000 = 2C
41,000 = C
You know that the amount invested in bonds is $1000 greater than the amount invested in CDs, so add $1000 to C and you find B, $42,000.
Answer: 0.88
Step-by-step explanation:
Let C is the event of drinking coffee, T is the event of drinking tea and M is the event of drinking milk.
Thus, when we make the Venn diagram of the given situation according to the given information,
Total number of people = 50
Number of people who like coffee, tea and milk = 19
Number of people who like coffee, tea but not milk = 16
Number of people who like coffee, milk but not tea = 2
Number of people who like tea, milk but not coffee = 5
Thus, the number of people who like tea only = Total people - (people who like coffee, tea but not milk + people who like coffee, tea and milk + the one who only like tea and milk but not coffee)
= 50 - ( 16 + 19 + 5) = 50 - 46 = 4
Thus, Total number of the person who like milk = 16 + 19 + 5 + 4 = 44
⇒ Probability that this person likes tea =
=
Answer:
1079
Step-by-step explanation:
Hello,
18-5 = 13
31-18=13
44-31=13
161=5+13*12
So we need to compute

Thanks
Well ven diagrams help you visually compare and contrast two figures. They helps you note the similarities and the differences between two items. Hope this helps!
Answer:
The probability that a student chosen at random is fluent in English or Swahili.
P(S∪E) = 1.1
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given total number of students n(T) = 150
Given 125 of them are fluent in Swahili
Let 'S' be the event of fluent in Swahili language
n(S) = 125
The probability that the fluent in Swahili language

Let 'E' be the event of fluent in English language
n(E) = 135
The probability that the fluent in English language

n(E∩S) = 95
The probability that the fluent in English and Swahili

<u><em>Step(ii):</em></u>-
The probability that a student chosen at random is fluent in English or Swahili.
P(S∪E) = P(S) + P(E) - P(S∩E)
= 0.833+0.9-0.633
= 1.1
<u><em>Final answer:-</em></u>
The probability that a student chosen at random is fluent in English or Swahili.
P(S∪E) = 1.1