Answer:
a = 60°
Step-by-step explanation:
From the picture attached,
In the given triangle,
NE and ML are the perpendicular bisectors of two sides of the triangle.
Therefore, m∠MEK = m∠MLK = 90°
Since, sum of interior angles of polygon KLME = 360°
m∠MEK + m∠MLK + m∠EML + m∠EKL = 360°
90° + 90° + 120° + a = 360°
a = 360° - 300°
a = 60°
(4x+1)(2x+3)=8x*2+12x+2x+3
= 8x*2+14x+3
Answer:
68% of the incomes lie between $36,400 and $38,000.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $37,200
Standard Deviation, σ = $800
We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.
Empirical rule:
- Almost all the data lies within three standard deviation of mean for a normally distributed data.
- About 68% of data lies within one standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within three standard deviation of mean.
Thus, 68% of data lies within one standard deviation.

Thus, 68% of the incomes lie between $36,400 and $38,000.
Answer:
option A
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Step-by-step explanation:
Steps to write equations in augmented form
Step 1
Write the coefficients of the x-terms as the numbers down the first column
Step 2
Write the coefficients of the y-terms as the numbers down the second column
Step 3
Write the coefficients of the z-terms as the numbers down the third column
Step 4
Write the constants which are in the end of equation in fourth column