Answer:
A=79.2
Step-by-step explanation:
A=a+b/2*h
A=5.4+14.4/2*8
A=19.8/2*8
A=9.9*8
A=79.2
Year Sam Sally1: X (3/2)X-10002: (5/2)X-2000 2X-15003: X/5+1000 X/4+1400Total 37X/10-1000 15X/4-1100
Since their investments are known to be equal, we equate the two totals and solve for X.37X/10-1000=15X/4-1100(150-148)X/40 = 1100-1000X/20=100X=2000
So Sam invested $2000 the first year.Sally invested X/4+1400=1900 in the last year.
Answer:
There are 8 boys in the chorus and 16 girls in the chorus
The graph in the attached figure
Step-by-step explanation:
Let
x----> the number of boys
y----> the number of girls
we know that
-----> equation A
----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (8,16)
see the attached figure
therefore
There are 8 boys in the chorus
There are 16 girls in the chorus
Answer:
12. 6.4
13. 20
Step-by-step explanation:
This is the Pythagorean theorem, which says a^2+b^2=c^2. So for problem 12 we have 4^2+5^2=c^2. Since, 16+25=41, c=sqrt41 which is about 6.4. For problem 13 we have 15^2+b^2=25^2. Since 25^2-15^2=400, b=sqrt400 which is 20. Hope this helps!
The z-score that delineates the middle 96% of all vallues from others is obtained as follows.

Therefore, <span>the z-scores that delineate the middle 96% of all values from the others</span> is 2.05