Answer:
Heyy
Step-by-step explanation:
△ABC is a right angled triangle and right angle at B
sinA=
AC
BC
, cosA=
AC
AB
⟹sinA+cosA=
AC
BC
+
AC
AB
=
AC
BC+AB
[We know that sum of two sides of a triangle is greater than the third side]
⟹sinA+cosA>
AC
AC
=1
Hence, sinA+cosA>1
The correct question is
<span>If you are paid $5.50/hour for mowing yards, and you take 3 1/3 hours to mow a yard, how much money are you owed
see the attached figurewe know that
3 1/3 hours-----> (3*3+1)/3----> 10/3 hours
Multiply </span>$5.50/hour by (10/3) hour
so
5.5*10/3----> $18.33
the answer is$18.33
Answer:
8
Step-by-step explanation:
2015: 9 games won
2014: 1 game won
rate of change = 2015 games won - 2014 games won
rate of change = 9 - 1
rate of change = 8
Answer:
7.87 years
Step-by-step explanation:
#First we determine the effective annual rate based on the 9% compounded semi annual;
![i_m=(1+i/m)^m-1\\\\=(1+0.09/2)^2-1\\\\=0.09203](https://tex.z-dn.net/?f=i_m%3D%281%2Bi%2Fm%29%5Em-1%5C%5C%5C%5C%3D%281%2B0.09%2F2%29%5E2-1%5C%5C%5C%5C%3D0.09203)
#We then use this effective rate in the compound interest formula to solve for n. Given that the principal doubles after 2 yrs:
![A=P(1+i)^n\\\\A=2P, i=i_m\\\\16000=8000(1.09203)^n\\\\2=1.09203^n\\\\n=\frac{log \ 2}{log \ 1.09203}\\\\=7.87324\approx7.87 \ yrs](https://tex.z-dn.net/?f=A%3DP%281%2Bi%29%5En%5C%5C%5C%5CA%3D2P%2C%20i%3Di_m%5C%5C%5C%5C16000%3D8000%281.09203%29%5En%5C%5C%5C%5C2%3D1.09203%5En%5C%5C%5C%5Cn%3D%5Cfrac%7Blog%20%5C%202%7D%7Blog%20%5C%201.09203%7D%5C%5C%5C%5C%3D7.87324%5Capprox7.87%20%5C%20yrs)
Hence, it takes 7.87 years for the principal amount to double.
Answer:
Throw this sample out and start over again with a better sampling method
Step-by-step explanation:
Biased sampling leads wrong results, since the sample doesn't represent the population which is aimed to be surveyed. Higher/lower confidence level or t distribution cannot correct it.
Confidence level gives the probability of rejecting null hypothesis while it is true. And t-interval is used when the sample size is small or population standard deviation is unknown.
Before choosing confidence level or type of the statistic to infer results, one must follow random sampling not biased.