Answer:
x=0
Step-by-step explanation:
Subtract 1 from both sides
2x+1-1<1-1
Simplify the arithmetic
2x<1-1
Simplify the arithmetic
2x<0
Isolate the X
X=0
Answer:
Step-by-step explanation:
The total number of marbles is 24 + 36 + 60 = 120
Red: 24/120 = 1/5
Blue: 36/120 = 6/20 = 3/10
Yellow: 60 / 120 = 1/2
Answer:
16% probability that a randomly chosen U.S. adult sleeps more than 8.7 hours per night
Step-by-step explanation:
The Empirical Rule(Standard Deviation) 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 = 7.5
Standard deviation = 1.2
Using the Standard Deviation Rule, what is the probability that a randomly chosen U.S. adult sleeps more than 8.7 hours per night?
8.7 = 7.5 + 1.2
So 8.7 is one standard deviation above the mean.
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean. The other 100-68 = 32% are more than one standard deviation from the mean. Since the normal probability distribution is symmetric, 16% are more than one standard deviation below the mean and 16% are more than one standard deviation above the mean(above 8.7 hours)
So, 16% probability that a randomly chosen U.S. adult sleeps more than 8.7 hours per night
Answer:
66 in
Explanation:
the circumference can be calculated as:
Where d is the diameter and π is 22/7.
So, replacing the values, we get:
Therefore, the circumference is 66 in.
Answer:-7y-14
Step-by-step explanation:
-7(y+2)
-7 x y + - 7 x2
-7y-14
