The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain?
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Answers
Answer:
a
Mutually exclusive
b
Not Mutually exclusive
c
Not Mutually exclusive
d
Not Mutually exclusive
Step-by-step explanation:
From the question we are told that
The number of bolt is n = 12
The event that all the bolt are torqued correctly is A
The event that the 3rd bolt is not torqued correctly is B
The event that exactly one bolt is not torqued correctly is C
The event that the and
are torqued correctly is D
Generally for an event to be mutually exclusive it means that both event can not occur at the same time
Considering a
The A and B are mutually exclusive because they can not occur at the same time
Considering b
The event B and D are not mutually exclusive because they can occur at the same time
Considering c
Event C and D are not mutually exclusive because they can occur at the same time
Considering d
Event B and C are not mutually exclusive because they can occur at the same time
Final answer:
Event pairs A and B, and B and C are mutually exclusive. Event pairs B and D and C and D are not mutually exclusive.
Explanation:
In order to determine whether two events are mutually exclusive, we need to check if they can both occur at the same time. If the occurrence of one event necessarily means that the other event cannot occur, then the events are mutually exclusive. Let's analyze each pair of events:
a. A and B: These events are mutually exclusive because if all the bolts are torqued correctly (event A), then it is not possible for the #3 bolt to be not torqued correctly (event B) at the same time.
b. B and D: These events are not mutually exclusive because it is possible for the #3 bolt to be not torqued correctly (event B) while the bolts #5 and #8 are torqued correctly (event D).
c. C and D: These events are not mutually exclusive because it is possible for exactly one bolt to not be torqued correctly (event C) while the bolts #5 and #8 are torqued correctly (event D).
d. B and C: These events are mutually exclusive because if exactly one bolt is not torqued correctly (event C), then it is not possible for the #3 bolt to be not torqued correctly (event B) at the same time.
Learn more about Mutually exclusive events here:
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B) 124.96 ounces
C) 125.56 ounces
D) 125.96 ounces
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9514 1404 393
Answer:
B) 124.96 ounces
Step-by-step explanation:
To find ounces, multiply the number of grams by the number of ounces in each gram.
3550 × 0.0352 = 124.96 . . . ounces
Answers
Answer:
- 12.16 miles
Step-by-step explanation:
Speed - s, Distance - d, Time - t
Equation of time is:
- t = d/s
Given,
- s1 = 32 m/h, s2 = 38 m/h, t1 + t2 = 42 min = 42/60 h = 7/10 h
Total time is the sum of time values to and from the town:
- d/32 + d/38 = 7/10
- d/16 + d/19 = 7/5
- d(1/16 + 1/19) = 7/5
- d(16 + 19) = 7(16*19)/5
- 35d = 425.6
- d = 425.6/35
- d = 12.16
It is given that,
→ s1= 32 miles/h
→ s2 = 38 miles/h
Now t1 + t2 is,
→ 42 min
→ 42/60 hours
→ 7/10 hours
The formula we use,
→ Time = Distance/Speed
→ t = d/s
Then the total time is the,
Sum of time values to and from the town.
→ d/32 + d/38 = 7/10
→ d/16 + d/19 = 7/5
→ d{(1/16) + (1/19)} = 7/5
→ d(16 + 19) = (7/5) × (16 × 19)
→ 35d = 425.6
→ d = 425.6/35
→ d = 12.16
Hence, the distance is 12.16 miles.
Answers
Answer:
12 3/4 miles
Step-by-step explanation:
Eric is increasing his distance by 2 3/8 miles per day. In 2 more days, his distance will be 2×(2 3/8) = 4 3/4 miles more than on Wednesday.
... 8 + 4 3/4 = 12 3/4 . . . . miles on Friday
_____
Rate of increase
The difference between Tuesday and Monday is ...
... 5 5/8 - 3 2/8 = 2 3/8
The difference between Wednesday and Tuesday is ...
... 8 - 5 5/8 = 2 3/8
Thus, it appears that Eric is jogging 2 3/8 mile more each day than the day before.
Answers
Answer:
25, 33
Step-by-step explanation:
3. 124 divided by 5 is 24 remainder 4, so they will need 25 cars
4. 230 divided by 7 is 32 remainder 6, so they will need 33 boxes