Answer:
66.28% of students study more than 8 hours
Step-by-step explanation:
The percent of students study more than 8 hour can be calculated as
P(X>8)=?
P(X>8)=P((X-mean)/sd>(8-9.92)/4.54)
The calculated z-score is -0.42.
P(X>8)=P(Z>-0.42)
P(X>8)=P(0<Z<-0.42)+P(0<Z<∞)
P(X>8)=0.1628+0.5=0.6628.
Thus, 66.28% of students study more than 8 hours.
Answer:
The first one, yes they are similar, they have at least two corresponding angles
We have been given that in an account an amount of 7,650 is invested at 9.15 percent compounded quarterly for 8 years and 6 months.
We will use compound interest formula to find our answer.
,
Where, P= principle amount, A= amount after T years, n= period of compounding and r = interest rate (decimal).
Let us substitute our given values in our formula.
Therefore, after 8 years and 6 months our amount will be 16505.497.
144 divided by 36 is 4, so 4 yards.
Answer:
x = 14
Step-by-step explanation:
Extend line AB so that it intersects ray CE at point G. Then angles BGC and BAD are "alternate interior angles", hence congruent.
The angle at B is exterior to triangle BCG, and is equal to the sum of the interior angles at C and G:
138 = (376 -23x) +(x^2 -8x)
Subtracting 138 and collecting terms we have ...
x^2 -31x +238 = 0
For your calculator, a=1, b=-31, c=238.
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<em>Additional comment</em>
You will find that the solutions to this are x = {14, 17}. You will also find that angle BCE will have corresponding values of 54° and -15°. That is, the solution x=17 is "extraneous." It is a solution to the equation, but not to the problem.
For x=14, the marked angles are A = 84°, C = 54°.
