Answer:
68% of the sample can be expected to fall between 28 and 32 cm
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 30
Standard deviation = 2
What proportion of the sample can be expected to fall between 28 and 32 cm
28 = 30-2
28 is one standard deviation below the mean
32 = 30 + 2
32 is one standard deviation above the mean
By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm
Solution
To determine the vertical translation
We need to determine the amplitude
The amplitude is
Since the minimum is 4
Hence, the Vertical shift is 3+4 = 7
Part B
Given f(x) = 4 sin(θ - 45) + 8
The vertical translation is 8
Answer:
-2.4-(-7) has the same result as -2+7 because the negative sign and the minus sign cancel each other out. Think of it like this. If you cross the negative sign and the minus sign together, then it makes a plus sign.
Step-by-step explanation:
I gave a basic answer. You might have to elaborate more on this.
Answer:
3/8 of the box
Step-by-step explanation:
On Friday Merinda uses 1/4 of the box of pancake mix to make pancakes.
On Saturday she uses 1 1/2 times as much pancake mix as Friday.
On Friday = 1/4 of the box
On Saturday = 1 1/2 × pancake mix as Friday
Hence, 3/8 of the box of pancake mix does Merinda use on Saturday.
Answer:
1.6 = 1 + .6 = 60% growth rate
Step-by-step explanation:
