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3 years ago

Tan x-1/tan x+1=1-cot x/1+cotx

1 answer:

6 0

$\dfrac{\tan x-1}{\tan x+1}=\dfrac{\frac{\sin x}{\cos x}-1}{\frac{\sin x}{\cos x}+1}=\dfrac{\sin x-\cos x}{\sin x+\cos x}=\dfrac{1-\frac{\cos x}{\sin x}}{1+\frac{\cos x}{\sin x}}=\dfrac{1-\cot x}{1+\cot x}$

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Pepper Jamie filled up her 10 Gallon gas tank for 54.50 how much did the gas cost per gallon

dangina [55]

Answer:

$5.45

Step-by-step explanation:

54.50÷10

4 0

4 years ago

The starting salary for a computer programmer major has a mean of $39,269 and a standard deviation of $2550. The probability tha

Nimfa-mama [501]

Answer:

The probability that a randomly selected programmer major received a salary less than 38000 is 0,3085

Step-by-step explanation:

We will assume that the salaries are Normally distributed. Lets call X the salary of a random major programmer in dollars. We want the pprobability of X being less than 38000. For it, we will standarize X. Lets call W the standarization, given by the formula

$W = \frac{X-\mu}{\sigma}=\frac{X-39269}{2550}$

Lets denote $\phi$ the cumulative distribution function of the standard normal variable W. The values of $\phi$ are well known and they can be found in the attached file. Now, lets calcualte the probability of X being less than 38000 using $\phi$

$P(X$

Since the density function of a standard normal random variable is symmetric, then $\phi(-0.50) = 1-\phi(0.50) = 1-0.6915 = 0.3085$

The probability that a randomly selected programmer major received a salary less than 38000 is 0,3085.

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7 0

3 years ago

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A ballpark snack bar sold hot dogs and hamburgers. There were 9 times as many hot dogs sold as hamburgers during the third innin

Digiron [165]

Answer:the answer is 8 (c)

Step-by-step explanation:dice there were 9x as many hot-d than hamburger you ÷ the amount of hotdogs by 9

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3 years ago

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Numbers between 10 and 20 divisible by what number

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12 is divisible by 3 and 4

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3 years ago

A store is selling a black pair of shoes for $79.45 and a brown pair of shoes for $133.99. the black pair of shoes is marked up

Natalija [7]

Black Shoes:
Price = $79.45
Markup = 44% of 79.45 = 0.44 x 79.45 = $34.96
Price after Markup= $79.45 + $34.96 = $114.41

Brown Shoes:
Price = $133.99
Mark down = 21% of 133.99 = $28.14
Price after Mark down = $133.99 - $28.14 = $105.85

Difference in cost = $114.41 - $105.85 = $8.56

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Answer: The black pair costs $8.56 more than the brown pair. (Answer B)
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5 0

4 years ago

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