If b is the reference angle

Mathematics

1 answer:

Pani-rosa [81]2 years ago

6 0

Answer:

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In a normal distribution, 95% of the data fall within how many standard deviations of the mean? O A. Three standard deviations B

Galina-37 [17]

Answer:

Two standard deviations

Step-by-step explanation:

The Z score is obtained using the mean and standard deviation, according to the empirical. Rule, which gives percentage of values that lie within an interval estimate in a normal distribution ;

one standard deviation lie within 68% of the mean

Two standard deviations lie within 95%

Three standard deviations lie within 99.7%

Hence, for the question given, 95% fall within 2 standard deviations of the mean

4 0

2 years ago

Solve the solution of equations. <br><br> 3x + 4y = -23<br><br> X = 3y + 1 <br><br> X = <br><br> Y =

Greeley [361]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}3x+4y=-23&(1)\\x=3y+1&(2)\end{array}\right\\\\\text{Substitute (2) to (1):}\\\\3(3y+1)+4y=-23\qquad\text{use the distributive property}\\\\(3)(3y)+(3)(1)+4y=-23\\\\9y+3+4y=-23\qquad\text{subtract 3 from both sides}\\\\13y=-26\qquad\text{divide both sides by 13}\\\\\boxed{y=-2}\\\\\text{Put the value of }\ y\ \text{to (2)}:\\\\x=3(-2)+1\\\\x=-6+1\\\\\boxed{x=-5}$