By the definition of the hyperbolic function tanh x, we have proven that 
<h3>Hyperbolic functions & Proof of identities </h3>
By definition

Then,















Hence, we have proven that 
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Answer: 0.4667
Step-by-step explanation:
According to 68–95–99.7 rule , About 99.7% of all data values lies with in 3 standard deviations from population mean (
).
Here , margin of error = 3s , where s is standard deviation.
As per given , we have want our sample mean
to estimate μ μ with an error of no more than 1.4 point in either direction.
If 99.7% of all samples give an
within 1.4 , it means that

Divide boths ides by 3 , we get

Hence, So
must have 0.4667 as standard deviation so that 99.7 % 99.7% of all samples give an
within 1.4 point of μ .
Answer:
400sq.ft
Step-by-step explanation:
Let Area of smaller rectangle be x
➝2:3=x:600
➝2/3=x/600
➝2×600=3x
➝3x=1200
➝x=1200/3
➝x=400sq.ft
Answer: 20 days
Step-by-step explanation:
Since the sale agent makes 40 calls a day and about 15% he calls result in a sale. This means the number of sales will be:
= 15% × 40
= 0.15 × 40
= 6
6 sales out of every 40 calls per day.
The number of calls to make 120 sales will be:
= 15% of x = 120
0.15 × x = 120
0.15x = 120
x = 120/0.15
x = 800 calls
Since he needs 800 calls and he makes 40 calls per day, the number of days needed will be:
= 800/40
= 20 days