Answer:
The approximate percentage of SAT scores that are less than 865 is 16%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 1060, standard deviation of 195.
Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.
865 = 1060 - 195
So 865 is one standard deviation below the mean.
Approximately 68% of the measures are within 1 standard deviation of the mean, so approximately 100 - 68 = 32% are more than 1 standard deviation from the mean. The normal distribution is symmetric, which means that approximately 32/2 = 16% are more than 1 standard deviation below the mean and approximately 16% are more than 1 standard deviation above the mean. So
The approximate percentage of SAT scores that are less than 865 is 16%.
Answer:
Step-by-step explanation:
sine of A = 
opposite = 5
adjacent = 12
hypotenuse = 13
Answer:
(-4, 5.5)
Step-by-step explanation:
1. put your Xs and Ys over 2
2. add them together
3. Divide
4. Simplify
5. Turn fraction into decimal
Answer:
33
Step-by-step explanation:
Given that :
Card numbered from: 500 - 799
The required number of values must meet both conditions 1 and 2
Condition 1 : first of the 3 digits is odd :
500 - 599 = 100
700 - 799 = 100
(100 + 100) = 200 cards
Condition 2: three digits is divisible by 6
{500 - 599} and {700 - 799}
The numbers divisible by 6 are 33
5(5+x) = 6(6+4)
25+5x = 60
5x = 35
x = 7
-----------------
3(3+5) = 4(4+x)
24 = 16 + 4x
4x = 24-16
4x = 8
x = 2
