Answer:
Option E) 61.6
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100 bushels per acre
Standard Deviation, σ = 30 bushels per acre
We assume that the distribution of yield is a bell shaped distribution that is a normal distribution.
Formula:

P(X>x) = 0.90
We have to find the value of x such that the probability is 0.90
P(X > x)
Calculation the value from standard normal table, we have,

Hence, the yield of 61.6 bushels per acre or more would save the seed.
M∠X = 54.3°.
Using the Law of Sines, we have:

Cross multiplying gives us
61(sin 34) = 42(sin X)
Divide both sides by 42:
(61(sin 34))/42 = (42(sin X))/42
(61(sin 34))/42 = sin X
Take the inverse sine of both sides:
sin⁻¹((61(sin 34))/42) = sin⁻¹(sin X)
54.3 = X
Answer:
Step-by-step explanation:
Given the length of the bugs as shown;
Lady bug = 3/8
Ant = 1/4
Firefly = 7/8
Honey bee = 0.8
Deer tick = 0.2
Before we arrange the length in ascending order (shortest to longest), we will have to represent them in percentage.
Lady bug = 3/8×100
= 300/8
= 37.5%
Ant = 1/4×100
Ant = 25%
Firefly = 7/8 × 100
Firefly = 87.5%
Honey bee = 0.8×100
Honey bee = 80%
Deer tick = 0.2×100
Deer tick = 20%
On rearranging in ascending order:
20%, 25%, 37.5%, 80%, 87.5%
Based on the insect
Deer tick, Ant, ladybug, honey bee, Firefly
Based on their length:
0.2, 1/4, 3/8, 0.8, 7/8
Answer:
The dimensions of the box are 12 cm , 12 cm , 12 cm
Step-by-step explanation:
Let x , y and z be the dimensions of box
Volume of box =xyz=1728

Surface area of box = 
Let 
To get minimal surface area
and 


----1


Using 1

x=0 and 
Side can never be 0
So,
x=12

y=12

z=12
The dimensions of the box are 12 cm , 12 cm , 12 cm