Answer:
38 degrees
Step-by-step explanation:
By the Law of Cosines,
5² = 3² + 7² - 2(3)(7) cos A
5² - 3² - 7² = -2(3)(7) cos A
-33 = -42 cos A
cos A = 33/42
A = arccos(33/42), which is about 38 degrees.
The total is $26 with the tip this is a 30% tip
Answer:
B: -14
Step-by-step explanation:
given that f(x) = -2x - 13,
we can find the value of f(-3) by simply plugging in -3 for x
f(-3) = -2(-3) - 13
f(-3) = -7
Because we are dealing with the expression f(-3) - 7, we still have one more step. Let's plug in -7 for f(-3)
- 7 - 7 = -14
Therefore, f(-3) - 7 will give us B: -14
Answer:
The interval of hours that represents the lifespan of the middle 68% of light bulbs is 1210 hours - 1390 hours.
Step-by-step explanation:
In statistics, the 68–95–99.7 rule, also recognized as the Empirical rule, is a shortcut used to recall that 68%, 95% and 99.7% of the values lie within one, two and three standard deviations of the mean, respectively.
Then,
- P (µ - σ < X < µ + σ) = 0.68
- P (µ - 2σ < X < µ + 2σ) = 0.95
- P (µ - 3σ < X < µ + 3σ) = 0.997
he random variable <em>X</em> can be defined as the amount of time a certain brand of light bulb lasts.
The random variable <em>X</em> is normally distributed with parameters <em>µ</em> = 1300 hours and <em>σ</em> = 90 hours.
Compute the interval of hours that represents the lifespan of the middle 68% of light bulbs as follows:

Thus, the interval of hours that represents the lifespan of the middle 68% of light bulbs is 1210 hours - 1390 hours.
Choices:
<span>a.
7 in. x 11 in. c.
8 in. x 13 in.
b.
16 in. x 20 in. d.
6 in. x 9 in.
</span>
Area of a rectangle = length * width
We need to get the factors of 104 in² and identify which is its length and width.
1 x 104 = 104
2 x 52 = 104
4 x 26 = 104
8 x 13 = 104 This is the correct dimension of the front of the box.
Choice C. 8 inches x 13 inches