Answer:
7.1 weeks to 68.4 weeks
Step-by-step explanation:
Chebyshev's Theorem states that:
75% of the measures are within 2 standard deviations of the mean.
89% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 38.1
Standard deviation = 10.1
Between what two search times does Chebyshev's Theorem guarantee that we will find at least 89% of the graduates
Between 3 standard deviations of the mean.
So from 38.1 - 3*10.1 = 7.8 weeks to 38.1 + 3*10.1 = 68.4 weeks
To solve this problem, all we have to do is to thoroughly
analyze the situation step by step.
First let us work on the remaining 10 gallons of water in
the tank. We are given that 2 / 3 of the water initially in the tank leaked
out. Therefore this means that we are left with 1 / 3 the original amount of
water which is 10 gallons, hence:
(1 / 3) Vi = 10 gallons
where Vi is the initial volume of water inside the tank,
calculating for Vi:
Vi = 3 (10 gallons)
Vi = 30 gallons
We are also given that this initial volume of water is
just 3 / 4 of the total capacity of the tank, therefore:
(3 / 4) Vc = Vi
where Vc is the volume capacity of the tank, calculating
for Vc:
Vc = 4 Vi / 3
Vc = 4 (30 gallons) / 3
Vc = 40 gallons
Answer:
<span>Capacity of the fish tank is 40 gallons</span>
<u>Answer-</u>
<em>The value of y is </em><em>6 units</em><em>.</em>
<u>Solution-</u>
Given ∆ABC ≅ ∆GEF
If two triangles are congruent, then the corresponding sides are also congruent.
So,
EF = BC, GF = AC
Putting the values,
--------------1
--------------------2
Putting the values of x in equation 1,
Therefore, the value of y is 6 units.
An estimation of 0.7
though the actual answer is 0.713580247
Answer:
12 squares
Step-by-step explanation:
Data provided:
Dimension of the rectangle = 30 × 40
Area of the rectangle = 30 × 40 = 1200
Dimension of the area to be divided = 10 × 10
Thus,
Area of the square to be divided into = 100
Therefore,
The number of square in which it can be divided
= 
= 
= 12
Hence,
It can be divided in 12 squares
