Answer:
x = 54
Step-by-step explanation:
x - 21 = 33
x = 33 + 21
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
Answer:
The x intercept is (12,0)
Step-by-step explanation:
1.5x+4.5y=18 Subtract 1.5 x from both sides of the equation
4.5y=-1.5x+18 Divide both sides of the equation by 4.5
4.5y/4.5=-1.5x/4.5+18/4.5
y=-1/3x+4
The slope is -1/3
The y intercept is (0,4)
To find the x intercept, yet y=0 and solve.
1.5x+4.5y=18
1.5x+4.5(0)=18
1.5x=18 Divide both sides of the equation by 1.5
1.5x/1.5=18/1.5
x=12
Answer:
-0.25
Step-by-step explanation:
1-3= -2
9-2= 8
-2/8= -0.25
