Answer:
The number of cards Paul had at the beginning was 64 cards
Step-by-step explanation:
Here we have a word problem as follows
Paul traded 13 baseball card to Dan for 4 new packs of 6 card each
Number of cards received from Dan = 6 × 4 = 24
Number of cards traded to Dan = 13
Net number of cards traded = 24 - 13 = 11
Total number of cards Paul now has = 75 cards
Therefore since Paul gained 11 cards to make his total number of cards = 75, then;
The initial amount of cards Paul had = 75 - 11 = 64 cards.
Using the mean concept, it is found that we will need 15 more points to bring up his average up to 90%.
The mean of a data-set is the <u>sum of all observations divided by the number of observations</u>.
In this problem:
- In the first 5 observations, total of 21 out of 25 points, hence the mean for these observations is
. - In the next n observations, mean of 1.
Hence, the mean is:

We want the mean to be of 0.9, thus:





3 more testes are need, each worth 5 points, hence, 15 more points are needed to bring up his average up to 90%.
A similar problem is given at brainly.com/question/25323941
Answer:
Midpoint( .5,-2.5)
Step-by-step explanation:
To find the midpoint, add the x coordinates and divide by 2 and then add the y coordinates and divide by 2
x: (-1+2)/2 = 1/2=.5
y: (-9+4)/2 = -5/2 = -2.5
Midpoint( .5,-2.5)
First, the formula of the circumference.
There are two formulas:
1. C = π*d
[Note: d = diameter]
2. C = 2*π*r
[Note: r = radius]
[Note: This symbol * means to multiply.]
Since we are given the diameter, it’s easier to use the first formula, π*d. Let’s not be too hard on ourselves.
Okay, so let’s state our decided formula:
C = π*d
Then replace d with the car tire’s diameter:
C = π*(32)
Afterwards, find a calculator and multiply π with 32. You will get 100.5309649 as result.
If where to round is stated in your question, round to that. If not, it’s best to round by two decimal places. In this case, we’ll round 100.5309649 to 100.53.
Please add your units as well. In this case, the final answer will be: 100.53 inches.
Since this is a word problem, don’t forget your final statement!
“The approximate circumference of the tire is 100.53 inches.”