Answer:
<u>A = πR^2</u>
Step-by-step explanation:
<h3>Please refer to the attachment for explanation.</h3>
Answer:
width is given, 7 m
height =4m
volume = L× B×H
find the length by applying Pythagoras in the top face.
i.e. L=√(25²-7²)=24m
V=7×4×24=672m³
Answer:
smaller (t) = 2 and this in coordinates form (2,0)
larger (t) = 15 and this in coordinates form (15,0)
the vertex of the parabola =
or in decimals (8.5, 42.25)
Step-by-step explanation:
- For the zeros of the function take each bracket and make it equal to zero.
SMALLER (t):
(t-2)=0
(add 2 for both sides)
t=2
LARGER (t):
(t-15)=0
(add 15 for both sides)
t=15
- For the vertex of the parabola you do:
step1: expand the brackets:
f(t)=-(t-2)(t-15)
f(t)= ![-t^{2} +17t-30](https://tex.z-dn.net/?f=-t%5E%7B2%7D%20%2B17t-30)
step2: define a,b and c using the expression
:
a= -1 (the coefficient of
)
b= 17 (the coefficient of t)
c= -30 (the single number without a letter)
step3: sub the values in the formula
to find the x coordinate of the vertex :
![-\frac{b}{2a}](https://tex.z-dn.net/?f=-%5Cfrac%7Bb%7D%7B2a%7D)
= ![- \frac{17}{2*-1}](https://tex.z-dn.net/?f=-%20%5Cfrac%7B17%7D%7B2%2A-1%7D)
=
or in decimals 8.5
step4: sub the value of t (the x-coordinate) in equation f(t):
f(t)= ![-t^{2} +17t-30](https://tex.z-dn.net/?f=-t%5E%7B2%7D%20%2B17t-30)
f (
) = -
+ 17×
- 30
=
+
-30
=
or in decimals 42.25
(THIS IS A PICTURE OF THE GRAPH↓)
Answer:
the number of families needed for the survey is 2,157
Step-by-step explanation:
The computation of the number of families needed for the survey is shown below:
Given that
The Standard deviation is $900
Service level = 99%
z value at 99% = 2.58
Expenditures = $50
Based on the above information
The number of families needed for the survey is
![n = (\frac{zs}{E})^2\\\\= (\frac{2.58\times 900}{50})^2](https://tex.z-dn.net/?f=n%20%3D%20%28%5Cfrac%7Bzs%7D%7BE%7D%29%5E2%5C%5C%5C%5C%3D%20%20%28%5Cfrac%7B2.58%5Ctimes%20900%7D%7B50%7D%29%5E2)
= 2,157
Hence, the number of families needed for the survey is 2,157
All you do is 60 times .65 so the answer is 39