Answer:
Sam is correct
Step-by-step explanation:
The answer is the mean, mode, and median increases by 4, the range of times is the same.
Week 1: Week 2:
Student - Hours Student - Hours<span>
Bob 19 </span>Bob 23<span>
James 10 </span>James 14<span>
Karen 15 </span>Karen 19<span>
Rosario 17 </span>Rosario 21<span>
Antoine 10 </span>Antoine 14<span>
Julio 16 </span>Julio 20<span>
Maria 13 </span>Maria 17<span>
The mean is the sum of all values divided by the number of values:
Week 1: (19 + 10 + 15 + 17 + 10 + 16 + 13)/7 = 100/7 = 14.28
Week 2: (23 + 14 + 19 + 21 + 14 + 20 + 17)/7 = 128/7 = 18.28
The difference in means between Week 2 and Week 1 is 4 (18.28 - 14.28 = 4)
The median is the middle value. To calculate, first rearrange values from the lowest to the highest and then find the middle value:
Week 1: 10, 10, 13, 15, 16, 17, 19 - The median is 15.
Week 2: 14, 14, 17, 19, 20, 21, 23 - The median is 19.
The difference in medians between Week 2 and Week 1 is 4 (19 - 15 = 4)
The mode is the value that occurs most frequently.
</span>Week 1: 10, 10, 13, 15, 16, 17, 19 - The mode is 10.
Week 2: 14, 14, 17, 19, 20, 21, 23 - The mode is 14.
The difference in modes between Week 2 and Week 1 is 4 (14 - 10 = 4)
The range of times is the difference between the highest and the lowest value.
Week 1: 10, 10, 13, 15, 16, 17, 19 - The range of times is 9 (19 - 10 = 9).
Week 2: 14, 14, 17, 19, 20, 21, 23 - The median is 9 (23 - 14 = 9).
The difference in the ranges of times between Week 2 and Week 1 is 0 (9 - 9 = 0)
Answer:
Jill's best friend jumped 8/21 feet further than Jill.
Step-by-step explanation:
we have that
Jill jumped 6 1/3 feet
Jill best friend jumped 6 5/7 feet
To find out how much farther did Jill's best friend jumped, subtract the length that Jill jumped from the length that Jill best friend jumped
but first convert mixed number to improper fraction
substitute the values
therefore
Jill's best friend jumped 8/21 feet further than Jill.
Step-by-step explanation:
9. x and z are equal. y+z=90
148-x=180 x+148 are supplementary
-148 -148 Subtract 148 from both sides to isolate x
x=32 degrees
z=32 degrees b/c x and z are equal
y+z=90 y and z are complementary
y+(32)=90 Substitute 32 in for z
-32 -32
y =58 degrees
10. (4x-25)=(2x+7) B/c of the bisection, the two angles are equal.
4x-25 =2x+7 Remove parenthesis
-2x -2x Subtract 2x from both sides
2x-25 = +7
+25 +25 Add 25 to both sides to isolate x
2x = 32
/2 /2 Divide both sides by 2 to isolate x
x = 16
(4(16)-25)+(2(16)+7)=78 degrees Substitute 16 into the equation, this time adding the values instead of setting them equal to get the angle measure requested.
11. (6x-47)+(x+4)=90 Angles that are complementary add up to 90 degrees
7x-43 =90 Add like terms
+43 +43 Add 43 to both sides to isolate x
7x =133
/7 /7 Divide both sides by 7 to isolate x
x =19
((19)+4)=23 degrees Substitute x into the angle measure requested
12. 180=2x-9+x Use the words to help you determine what each value is.
180=3x-9 Add like terms
+9 +9 Add 9 to both sides to isolate x
189=3x
/3 /3 Divide both sides by 3 to isolate x
63=x
2(63)-9=177 degrees Substitute 63 into x to find the requested angle measure.
1. 74%
2. 15%
3. 9%
4. 61.7%
5. 83.4%
Hope this helps
