For blue marbles:
16 = 8 * 2 ( 8 groups with 2 marbles in everyone of them )
For white marbles:
8 = 4 * 2 ( 4 groups with 2 )
8 + 4 = 12
Answer:
The greatest number of groups Colton can make is 12.
Simple....
you have: 6z+10=4z+19
Isolate the variable...
6z+10=4z+19
-4z -4z
2z+10=19
2z+10=19
-10 -10
2z=9
z=4.5
Thus, your answer.
Answer:
a) 68%
b) 99.7%
c) 95%
Step-by-step explanation:
The mean height for an 8th grader in the State of Florida is 146 cm with a standard deviation of 8 cm. Given a normal distribution, use the Empirical Rule to interpret the data.
Empirical rule states that:
68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
Mean = 146
Standard deviation = 8cm
a) What percent of 8th graders heights are between 138 cm and 162 cm?
146 - sx = 138cm
146 - 138 cm = 8cm
146 - 162 cm = 8cm
Hence,68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .
b) What percent of 8th graders heights are between 122 cm and 170 cm?
Standard deviation = 8
146 - 122 = 24 cm
146 - 170 = -24cm
24cm/8 cm = 3
Hence,99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
c) What percent of 8th graders heights are between 130 cm and 162 cm?
146 cm - 130cm = 16cm
162 cm - 146 cm = 16 cm
16cm/8cm
= 2
Hence, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Answer:
B. 15h^2 —9h—6
Step-by-step explanation:
(5h + 2)(3h — 3)
Using the distributive property, we have
5hx3h —5hx3 + 2x3h —2x3
15h^2 —15h + 6h —6
15h^2 —9h—6
The answer you need is perpendicular