Answer:
You will have 128 orange marbles
Step-by-step explanation:
Set this up as an equation
Variable x = number of orange marbles
3/8 = 48/x
Cross multiply
3 × x = 8 × 48
3x = 384
Divide both sides by 3 to isolate the variable
3x ÷ 3 = 384 ÷ 3
1x = 128
x = 128
128 orange marbles
Check work:
Substitute the variable x for the answer
3/8 = 48/128
Cross multiply
3 × 128 = 8 × 48
384 = 384
If the numbers equal, the answer is correct
Add each term and divide it by 2.
5+7 = 12
12/2 = 6
-2 + 6 = 4
4/2 = 2, then add the i back on to get 2i.
The midpoint is 6 + 2i
Imagine what x is quantity of stools. So
3x+120=4x
x=120
120 stools in cafeteria
120 chairs in cafeteria
120+120=240
There 240 people can sit in this cafeteria
Answer:
Sam has the more convincing victory with a greater Zscore value
Step-by-step explanation:
Given that :
Year 1:
Mean finish time (m) = 185.64
Standard deviation (s) = 0.314
Sam's time (x1) = 185.29
Year 2:
Mean finish time (m) = 110.3
Standard deviation (s) = 0.129
Rita's time (x1) = 110.02
Zscore = (x - mean) / standard deviation
Sam's Zscore :
(185.29 - 185.64) / 0.314
= - 0.35 / 0.314
= −1.114649
= - 1.115
Rita's Zscore :
(110.02 - 110.3) / 0.129
= - 0.28 / 0.129
= −2.170542
= - 2.171
Sam has the more convincing victory with a greater Zscore value
