A veterinarian collected data on the average weight of dogs by age in months. Interpret the slope and the y -intercept (0,0) of the linear model, using the ordered pair (42,9) . Round the slope to the nearest hundredth. (1 point) Responses Every month, a dog averages a gain of 4.67 pounds Every month, a dog averages a gain of 4.67 pounds Every 4.67 months, a dog averages a gain of 1 pound and weighs 0 pounds at birth. Every 4.67 months, a dog averages a gain of 1 pound and weighs 0 pounds at birth. Every month, a dog averages a gain of 0.21 pounds and weighs 0 pounds at birth. Every month, a dog averages a gain of 0.21 pounds and weighs 0 pounds at birth. Every month, a dog averages a gain of 4.7 pounds and weighs 0 pounds at birth.
The correct interpretation is:
Every month, a dog averages a gain of 4.67 pounds.
You are serving cookies at a party. The party tray holds 8 chocolate chip cookies, 5 sugar cookies, and 7 oatmeal raisin cookies. What is the probability that the first person will take and keep a sugar cookie and the second person will take a chocolate chip cookie? Write your answer as a simplified fraction.
To find the probability that the first person takes and keeps a sugar cookie and the second person takes a chocolate chip cookie, we need to determine the number of favorable outcomes (number of ways this can happen) divided by the total number of possible outcomes.
The number of ways the first person can take and keep a sugar cookie is 5 (since there are 5 sugar cookies).
After the first person takes a sugar cookie, there are 8 chocolate chip cookies left. So, the number of ways the second person can take a chocolate chip cookie is 8.
The total number of cookies the first person can choose from is 8 + 5 + 7 = 20.
Therefore, the probability that the first person will take a sugar cookie and the second person will take a chocolate chip cookie is:
(5/20) * (8/19) = 40/380 = 1/19
So, the probability is 1/19.
How many items are in the event “exactly one tail” when a coin is flipped 3 times?(1 point)
To find the number of items in the event "exactly one tail" when a coin is flipped 3 times, we need to count the number of outcomes where exactly one tail appears.
When a coin is flipped, there are two possible outcomes: heads (H) or tails (T).
When flipping a coin 3 times, the possible outcomes are:
HHH
HHT
HTH
THH
HTT
THT
TTH
TTT
Out of these 8 possible outcomes, there are three outcomes where exactly one tail appears: HHT, HTH, and THH.
Therefore, there are 3 items in the event "exactly one tail" when a coin is flipped 3 times.
Corrine needs to make a 2-digit code using the numbers 0–9 and the letters A–D. What is the complete sample space for this compound event? Show your work with a list, table, or tree diagram.(2 points)
The complete sample space for this compound event can be represented using a table or a tree diagram.
Using a table:
0 1 2 3 4 5 6 7 8 9 A B C D
____________________________________________
0 | 00 01 02 03 04 05 06 07 08 09 0A 0B 0C 0D
1 | 10 11 12 13 14 15 16 17 18 19 1A 1B 1C 1D
2 | 20 21 22 23 24 25 26 27 28 29 2A 2B 2C 2D
3 | 30 31 32 33 34 35 36 37 38 39 3A 3B 3C 3D
4 | 40 41 42 43 44 45 46 47 48 49 4A 4B 4C 4D
5 | 50 51 52 53 54 55 56 57 58 59 5A 5B 5C 5D
6 | 60 61 62 63 64 65 66 67 68 69 6A 6B 6C 6D
7 | 70 71 72 73 74 75 76 77 78 79 7A 7B 7C 7D
8 | 80 81 82 83 84 85 86 87 88 89 8A 8B 8C 8D
9 | 90 91 92 93 94 95 96 97 98 99 9A 9B 9C 9D
A | A0 A1 A2 A3 A4 A5 A6 A7 A8 A9 AA AB AC AD
B | B0 B1 B2 B3 B4 B5 B6 B7 B8 B9 BA BB BC BD
C | C0 C1 C2 C3 C4 C5 C6 C7 C8 C9 CA CB CC CD
D | D0 D1 D2 D3 D4 D5 D6 D7 D8 D9 DA DB DC DD
Using a tree diagram:
0-D
/ | \
/ | \
0-9 A-D
/ | | \
0-9 A-D 0-9 A-D
..........
By listing out all possible combinations, either using a table or a tree diagram, you can see the complete sample space for the compound event of making a 2-digit code using the numbers 0-9 and the letters A-D.