Answer:
AC ≈ 9,7sm
Step-by-step explanation:
AB=7 One side of a right triangle
BC=12 Hypotenuse of a right triangle
AC=?=x The other side of a right triangle
x²+7²=12²
x²=144-49
x²=95
x=√(95) ≈ 9,7
AC ≈ 9,7sm
Answer:
its a discrete graph
Step-by-step explanation:
hope this helps
Answer:
Kindly check explanation
Step-by-step explanation:
Given the formula :
Pn = 25.8(1.0219)^h to predict the population of Ghana ;
The equation given is in the form of an exponential function:
The general form of an exponential distribution :
y = ab^x
a = Initial value ; b = constant multiplier or growth or Decay factor
Comparing :
The number in parenthesis = 1.0219 = b
b = Decay or growth factor :
Since b > 1 ; then We have a growth factor;
b = 1 + rate
1.0219 = 1 + rate
Rate = 1.0219 - 1
Rate = 0.0219
Hence, the population is growing at a rate of about (0.0219)*100% = 2.19%
Answer: ![(23.3,\ 29.7)](https://tex.z-dn.net/?f=%2823.3%2C%5C%2029.7%29)
Step-by-step explanation:
The confidence interval for population mean is given by :-
, where
is the sample mean and ME is the margin of error .
Given : The sample mean : ![\overline{x}=26.5](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D26.5)
Margin of error : ![ME=3.2](https://tex.z-dn.net/?f=ME%3D3.2)
Then , the range of values (confidence interval) likely to contain the true value of the population parameter will be :-
![26.5\pm 3.2=(26.5-3.2,\ 26.5+3.2)=(23.3,\ 29.7)](https://tex.z-dn.net/?f=26.5%5Cpm%203.2%3D%2826.5-3.2%2C%5C%2026.5%2B3.2%29%3D%2823.3%2C%5C%2029.7%29)
Hence, the range of values likely to contain the true value of the population parameter = ![(23.3,\ 29.7)](https://tex.z-dn.net/?f=%2823.3%2C%5C%2029.7%29)
Let
The origin of coordinates the tree
r1 = vector position of the child 1.
r2 = vector position of the child 2
Child 1:
r1 = (12i + 12j)
Child 2:
r2 = (-18i + 11j)
The scalar product will be given by:
r1.r2 = ((12) * (- 18)) + ((12) * (11)) = - 84
The scalar product of their net displacements from the tree is -84m ^ 2