10. ? = 35
14. x = 1/2
18. 100 mm = 10 cm.
Answer:
17.11%
Step-by-step explanation:
since 43.2 months is the mean, and the standard deviation is 7.7 months
that means if we take the z score:
z=(36-43.2)/7.7
now that we know how many standard deviations you are away from the mean: -0.9351
using the zscore table you can find the proportion, or you can use the calculator if you have one that can do that.
you get 0.1711 which in percentages is 17.11%
The annual interest rate is 3.5%.
Solution:
Given Interest (I) = $26.25
Principal (P) = $500
Time (t) = 18 months
Rate of interest (r) = ?
Time must be in years to find the rate per annum.
1 year = 12 months
Divide the time by 12.
Time (t) =
years
Now, find the rate of interest using simple interest formula.
<u>Simple interest formula:</u>






⇒ r = 3.5%
Hence the annual interest rate is 3.5%.
The angles of a triangle add up to 180 degrees
65 + 3x - 10 + 2x = 180
5x + 55 = 180
5x = 180 - 55
5x = 125
x = 125/5
x = 25 <====
m < B = 3x - 10 = 3(25) - 10 = 75 - 10 = 65 <== B is 65 degrees
m < C = 2x......= 2(25) = 50 <== C is 50