Answer:
Step-by-step explanation:
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Step-by-step explanation:
Assuming 10 cups of lemon-lime soda and 5 cups of orange soda make 15 cups of punch, we can write proportions for each problem.
x / 130 cups punch = 10 cups lemon-lime / 15 cups punch
x = 86.67 cups lemon-lime soda
y / 130 cups punch = 5 cups orange soda / 15 cups punch
y = 43.33 cups orange soda
x / 65 cups punch = 10 cups lemon-lime / 15 cups punch
x = 43.33 cups lemon-lime soda
y / 65 cups punch = 5 cups orange soda / 15 cups punch
y = 21.67 cups orange soda
x / 195 cups punch = 10 cups lemon-lime / 15 cups punch
x = 130 cups lemon-lime soda
y / 195 cups punch = 5 cups orange soda / 15 cups punch
y = 65 cups orange soda
Answer:
13.567%
Step-by-step explanation:
We solve the above question, using z score formula
z = (x-μ)/σ, where
x is the raw score = 23.1 ounces
μ is the population mean = 22.0 ounces
σ is the population standard deviation = 1.0 ounce
More than = Greater than with the sign = >
Hence, for x > 23.1 ounces
z = 23.1 - 22.0/1.0
= 1.1
Probability value from Z-Table:
P(x<23.1) = 0.86433
P(x>23.1) = 1 - P(x<23.1)
P(x>23.1) = 1 - 0.86433
P(x>23.1) = 0.13567
Converting to percentage
= 0.13567 × 100
= 13.567%
Therefore, the percentage of regulation basketballs that weigh more than 23.1 ounces is 13.567%
Answer:
C. 12
Step-by-step explanation:
Remember 0 to 4 turn it back
5 or above give it a shove.
Since 12.444 is around 0 to 4.
We can round that to 12.
Answer:
No; the slopes of segment EF and segment DF are not opposite reciprocals.
Step-by-step explanation:
The slope between two points O(e, f) and X (g,h) is given as:
The slopes of segment EF and segment DF are given below:
For triangle DEF to be a right triangle, DF and EF are supposed to be perpendicular to each other. Two line are said to be perpendicular if the product of their slope is -1, i.e the slope of one line is the negative reciprocal (opposite reciprocal) of the other line.
Since the slope of DF and EF are not opposite reciprocals, ΔDEF is not a right triangle.
