Answer:
y=2
Step-by-step explanation:
15y+5y-19y+2=4
y+2=4 Add similar elements
y+2-2=4-2 Subtract 2 from both sides
y=2 Simplify
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
The theoretical probability of rolling a three would be 1/6.
1/6 expressed as a decimal would be 0.17.
Answer:
126 degrees
Step-by-step explanation:
Triangle: y = 180 - (5x + 4x)
Straight angle: y = 180 - (4x + 30)
180 - (5x + 4x) = 180 - (4x + 30)
5x + 4x = 4x + 30
5x = 30
x = 6
Angle:
y = 180 - (5x + 4x)
y = 180 - 9x
y = 180 - 9(6)
y = 126
Answer:
the one solution is -20
Step-by-step explanation:
-15x - 27 + 7 = -25 - 15x +5
-27 + 7 = -25 +5
-20 = -20
