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%.
Using it's concept, it is found that the coefficient of the mathematical expression 7m² + 2(19) is of 7.
<h3>What is the leading coefficient of a polynomial?</h3>
The leading coefficient of a polynomial is the <u>term that multiplies the highest exponent</u>.
In this problem, the expression is given by:
7m² + 19.
The highest exponent is of 2, in m², hence the leading coefficient is of 7.
More can be learned about the coefficient of a mathematical expression at brainly.com/question/24380382
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The consecutive positive integers would be: x and (x+1),
We would have to solve the following equation to find these numbers:
x(x+1)-[x+(x+1)]=29
x²+x-2x-1=29
x²-x-30=0
x=[1⁺₋√(1+120)]/2
x=(1⁺₋11)/2
We have two possible solutions:
x₁=(1-11)/2=-5 then: (x+1)=-5+1=-4 This is not the solution.
x₂=(1+11)/2=6 then: (x+1)=6+1=7 This solution is right.
Answer: the numbers would be 6 and 7.
Answer:
None of the above
Step-by-step explanation:
x-1/3 = k
We know that k=3, so we can substitute that into the equation
x-1/3 = 3
Add 1/3 to each side
x-1/3 + 1/3 = 3+1/3
x = 3 1/3 or as an improper fraction 10/3
1/3 of 6=2(4 left)
3/8 of 4=1 1/2
1 1/2 yards left
