A triangle has side lengths of 4 cm, 7 cm, and 8 cm. Is it a right triangle?
1 answer:
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For the given triangle, the value of x equals 30.9892 units.
Step-by-step explanation:
Step 1:
In the triangle, the angle is 40°, the opposite side has a length of 26 units, the adjacent side has a length of x units while the hypotenuse is not given.
To determine the value of x, we determine the value of the tan of the given triangle.
To calculate the tan of angle A we divide the opposite side's length by the the adjacent side's length.
Step 2:
The length of the opposite side = 26 units.
The length of the adjacent side = x units.
So x measures 30.9892 units.
Answer:
The expected repair cost is $3.73.
Step-by-step explanation:
The random variable <em>X</em> is defined as the number of defectives among the 4 items sold.
The probability of a large lot of items containing defectives is, <em>p</em> = 0.09.
An item is defective irrespective of the others.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 9 and <em>p</em> = 0.09.
The repair cost of the item is given by:
Compute the expected cost of repair as follows:
Compute the expected value of <em>X</em> as follows:
The expected value of <em>X</em> is 0.36.
Compute the variance of <em>X</em> as follows:
The variance of <em>X</em> is 0.3276.
The variance can also be computed using the formula:
Then the formula of is:
Compute the value of as follows:
The expected repair cost is:
Thus, the expected repair cost is $3.73.