Answer:
-1.53 , 1.53
Step-by-step explanation:
It is basically asking you to find the percentiles. so for the bottom 6.3% you would type into your calculator 2nd, VARS, invNorm, area: .063, mean: 0, and Standard Deviation: 1 which gives you -1.53.
for the upper 6.3% you have to take 1-.063=.937 to get the upper percentile. now type into your calculator 2nd, VARS, invNorm, area: .937, mean: 0, and Standard Deviation: 1 which gives you 1.53.
I hope I helped :D
Answer:
A. Discriminant = 116
B. Number of solutions for the quadratic equation = 2
C. Type of solutions (circle one):Imaginary
D. Type of solutions (circle one):irrational
Step-by-step explanation:
The given quadratic equation is
We rewrite in standard form to get;
The discriminant is
where a=1, b=8, c=-13
We substitute to get:
Since the discriminant is great than zero, we have two distinct real roots
Answer:
∠B = 60°
a = 4.0 units
b = 6.9 units
Step-by-step explanation:
The triangle is right angled. The sum of all angles of a triangle is equal to 180 degrees.
The 3 angles are 90, 30 , ∠B .
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Thus, B = 180 - 120 = 60 degrees
by trigonometry,
sin(30) = 
= 0.5
a = (8)(0.5) = 4 units
Also,
cos(30) = 
= 0.866
b = (8)(0.866)= 6.928
To solve this problem, we should understand how order of operations works. Perhaps the best way to show you this would be solving the problem with all of the work clearly labeled?
=4[2(21-17)+3] Original Problem
=4[2(4)+3] Solved the Parentheses
=4[8+3] Multiplied the 2 and 4
=4[11] Added the 8 and 3
=44 Multiplied the 4 and 11
An easy way to remember this is PEMDAS, which is an acronym for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. Although it will not apply in this scenario (because we have brackets), it will come in handy for many others like this.
Using all of the information above, we can conclude that this expression equals 4.
