Answer:
Let y represents the dog and x represents the Cat.
As per the Statement:
A total of 34 dogs and cats participated in the pet store’s adoption event.
⇒ x+y = 34 ......[1]
It is also given that the number of dogs that were adopted was 7 more than twice the number of cats.
"Twice times the number of cats" means 2x
"7 more than twice the number of cats means 2x + 7
⇒
Then, system of equations are;
x +y = 34
y = 2x + 7
Now, plot the graph of these equation as show below:
The point intersection is, (9, 25) which represents 9 cats and 25 dogs are participated in the pet store's adoption event.
Answer:
Zscore = 0.5
Step-by-step explanation:
If we assume a normal distribution, we mean that the diameters of each tomato follow a normal distribution. This is N~ (0,1).
By that, we mean that the mean (μ) = 0 and variance () = 1. Thus, since we are told that one tomato was in the 50th percentile. This implies the median. And is 0.5. And if the distribution is normal, the mean and median and mode should be equal.
Thus:
==> Z score = =
Answer:
(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.
(D)The mean number of points per player per game is the same at all 3 schools.
Step-by-step explanation:
<u>Baylor University</u>
6 players who each score 12 points per game
6 players who each score 0 points per game.
The Scores are: 0,0,0,0,0,0,12,12,12,12,12,12
<u>University of Maryland</u>
1 player scores 58 points per game,
1 player scores 14 points per game,
The rest(10) of the players score 0 points per game.
The Scores are: 0,0,0,0,0,0,0,0,0,0,14,58
<u> Dartmouth College</u>
4 players score 5 points per game,
4 players score 6 points per game,
4 players score 7 points per game.
The Scores are: 5,5,5,5,6,6,6,6,7,7,7,7
The following applies:
(B) At Maryland, the mean number of points per player per game is greater than the median number of points per player per game.
(D)The mean number of points per player per game is the same at all 3 schools.
Answer:
Option A.
Step-by-step explanation:
Clarissa needs a $2,500 loan in order to buy a car.
There are 4 options of loan we will calculate all the options that pay the least amount of interest.
To calculate the interest we will use this formula :
Where P = Principal amount
R = rate of interest
T = time in years
A) Principal 2,500 interest 4.75% and time 18 months (1.5 years)
= $178.125
B) Principal 2,500 interest 4% and time 30 months (2.5 years)
= $250
C) Principal 2,500 interest 4.25% and time 24 months (2 years)
= $212.50
D) Principal 2,500 interest 4.50% and time 36 months (3 years)
= $337.50
The least amount of interest would be in option A.