Answer:
Combinations:
A committee consisting of three members with the same role
Selecting two sandwiches from a menu of 10
Step-by-step explanation:
A combination is a selection of items from a collection, such that the order of selection does not matter.
A permutation is a selection of items from a collection, such that the order of selection matters.
A. The PIN for a bank or credit card - order matters → permutation
B. A committee consisting of three members with the same role - order does not matter → combination
C. A committee consisting of a president, vice president, and secretary - order matters → permutation
D. Final standings in a professional sports league - order matters → permutation
E. Selecting two sandwiches from a menu of 10 - order does not matter → combination
To answer this (specifically the first one) you have to count how many spaces each point moves. (How many spaces up/down does it go? Left/right?) then you put rise (up/down) over run (left/right) and you should get the slope!
Answer:
58°
Step-by-step explanation:
<MQR = <XQL (vertically opposite angles)
28 + 5b = 70 - 2b
28 - 70 = -2b - 5b
-42 = -7b
-42/-7 = b
6 = b
<MQR = 28 + 5b
= 28 + 5(6)
= 28 + 30
= 58°
Answer: 9
Step-by-step explanation:
An elf ate 15 of your muffins and that was 5/8 of all of them. To get the number of muffins left goes thus:
We can first calculate the total number of muffins the person had. Let the total number of muffins be y. That means the elf ate 5/8 of y.
5/8 of y = 15
5/8 × y = 15
0.625 × y = 15
0.625y = 15
Divide both side by 0.625
0.625y/0.625 = 15/0.625
y = 24
The total amount of muffins is 24. Since the elf has eaten 15, the amount left will be: 24-15 = 9
Looking at the graph closely we can see that the heart rate increases from 0 to 6 min then became steady from 6 to 25 min then finally decreases from 25 to 30 min. Therefore the correct answer is:
“The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes.”
In real life cardiac exercises, we can interpret that the period from 0 to 6 min is the period where the person is still warming up thus leading to an increase in heart rate. At 6 min, the person is fully warmed up hence reaching a stable heart rate. Then at 25 min, the person starts cooling down which means that the exercise is ending soon.