Find the exact value: tan40/cot50 sec55/csc35 SHOW ALL WORK!

1 answer:

5 0

These are the important trigonometric relations to base on:

cot (x) = 1/tan(x)
sec(x) = 1/cos(x)
csc(x) = 1/sin(x)

Following these properties, we could simplify the equation and input into the calculator to determine the exact value.

<span>tan40/cot50 = tan40/(1/tan50) = tan40tan50 = 1

</span><span>sec55/csc35 = (1/cos 55)/(1/sin 35) = sin35/cos55 = 1</span>

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A procurement specialist has purchased 25 resistors from vendor 1 and 30 resistors from vendor 2. Let

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Answer:

Normal Distribution

Standard error = 0.473

Step-by-step explanation:

We are given the following information:

A procurement specialist has purchased 25 resistors from vendor 1 are assumed to be normally distributed with mean 100 ohms and standard deviation 1.5 ohms.

$x_{1,1}, x_{1,2}, ... , x_{1,25}\\\mu_{1} = 100\\\sigma_1 = 1.5$

A procurement specialist has purchased 30 resistors from vendor 2 are assumed to be normally distributed with mean 105 ohms and standard deviation 2.0 ohms.

$x_{2,1}, x_{2,2}, ... , x_{2,30}\\\mu_{2} = 105\\\sigma_1 = 2.0$

The difference of two independent normally distributed random variables is normal, with its mean being equal to the difference of the two means, and its variance being the sum of the two variances.

Thus, the sampling distribution of $X_1-X_2$ is a normal distribution.