Answer:
Step-by-step explanation:
Given:
Games:
0
0
1
1
2
2
3
5
5
5
6
8
8
A.
Median is the middle value after the ste of values are arranged in ascending order, M which is the 7th value = 3
B.
Median increased by 2, M + 2
Therefore, new Median = 5
This means that the 2 runs are less than the previous median, 3 or greater than the new median, 5.
Possible pairs:
1, 2 or 6, 8
C.
Median can be 2.5 when the total number of runs scored are even numbers, therefore if the middle numbers are 2 and 3. In this case a number greater than or equal to 2;
The median = (2 + 3)/2
= 2.5
D.
Range is the difference between the highest value of runs scored to the lowest value of runs. In the data given above, range = 8 - 0
= 8.
It is possible to play 2 more games and no change in the range, 8 if the value of the 2 games (or 1 game) is/are greater than 0, the lowest value of runs scored and/or less than 8, which is the greatest value of runs scored.
Let <em>n</em> be the unknown number. We can write it as
<em>n</em> = 10<em>a</em> + <em>b</em>
with <em>a</em> and <em>b</em> integers between 1 and 9 (either with positive or negative sign).
Reversing the digits gives another number
<em>m</em> = 10<em>b</em> + <em>a</em>
The first number is increased by 54 when the digits are reversed, which means
<em>m</em> = <em>n</em> + 54 → 10<em>b</em> + <em>a</em> = 10<em>a</em> + <em>b</em> + 54 → 9<em>b</em> - 9<em>a</em> = 54 → <em>b</em> - <em>a</em> = 6
The digit in the tens place of <em>n</em> is 3 times the digit in the ones place, so
<em>a</em> = 3<em>b</em>
Substitute this into the previous equation and solve for <em>b</em> :
<em>b</em> - <em>a</em> = <em>b</em> - 3<em>b</em> = -2<em>b</em> = 6 → <em>b</em> = -3
Solve for <em>a</em> :
<em>a</em> = 3<em>b</em> = 3(-3) = -9
Then the original number is <em>n</em> = 10<em>a</em> + <em>b</em> = 10(-9) + (-3) = -93
Answer:
Step-by-step explanation:
Price of one pound = 1.95
Price of 13.2 pounds = 13.2 x 1.95 = 25.74
Answer:
it is d
Step-by-step explanation: