Answer:
Step-by-step explanation:
The monthly rents paid by the 10 people are
845, 875, 890,900,960, 965, 990, 1015, 1045, 1065.
The mean rent is determined by
Sum of rent paid/ total number of people that paid rent.
Mean = (845+875+890+900+960+965+990+1015+1045+1065) /10 = 9550/10 = 955
Median = (960+965)/2 =1925/2 = 962.5
Suppose that one of the people moves, her rent changes from 1065 to 915, the mean becomes
(845+875+890+900+ 915 + 960+965+990+1015+1045)/10 =9400/10 = 940
The median is (915 +960)/2 =1875/2 = 937.5
Therefore,
a) the mean decreases by
955 - 940 = 15
b) the median decreases by
962.5 - 937.5= 25
Use the pythagoren theorem
Tyce did all the work correctly
Volume of a pyramid=1/3*base area*height
volume=1/3*(755.9*755.9)*480.6
volume=1/3*571384.81*480.6
volume=91535846.56ft cube
Looking first at the graph, we see that the intial potato production was 25000 lb, and that potato production tapered off to below 20000 lb over time.
Analyzing the equation for corn production: C(t) = 25,000 + 500 ln(t + 1), we see
that the initial production was 25000 lb per year and that this increases steadily with time.
Thus, answer A is false.
Answer B is false because at the outset the amounts of corn and potatoes was equal (25000 lb).
Answer D makes sense. Productions were both 25000 lb at the beginning, but the corn production rose steadily over time, exceeding the potato production.
Answer:
The perimeter of rectangle is 48 cm.
Step-by-step explanation:
First, you have to form an expression for the length and the width. Let x be the width :
width = x cm
length = 3 × x = 3x cm
Then, you have to apply area of rectangle formula, A = length × width to find the value of x.Let area equals to 108 :
A = length × width
108 = 3x × x
3x² = 108
x² = 108 ÷ 3
x² = 36
x = √36
x = 6 cm
Lastly, you have to find perimeter :
length = 3 × 6 = 18 cm
width = 6 cm
Perimeter = 2(length + width)
P = 2(18 + 6)
P = 2(24)
P = 48 cm