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vodka [1.7K]
3 years ago
7

Given the measure of an acute angle in a right triangle, we can tell the ratios of the lengths of the triangle's sides relative

to that acute angle.
Here are the approximate ratios for angle measures 55\degree55°55, degree, 65\degree65°65, degree, and 75\degree75°75, degree.
Angle 55\degree55°55, degree 65\degree65°65, degree 75\degree75°75, degree
\dfrac{\text{adjacent leg length}}{\text{hypotenuse length}}
hypotenuse length
adjacent leg length
​
start fraction, start text, a, d, j, a, c, e, n, t, space, l, e, g, space, l, e, n, g, t, h, end text, divided by, start text, h, y, p, o, t, e, n, u, s, e, space, l, e, n, g, t, h, end text, end fraction 0.570.570, point, 57 0.420.420, point, 42 0.260.260, point, 26
\dfrac{\text{opposite leg length}}{\text{hypotenuse length}}
hypotenuse length
opposite leg length
​
start fraction, start text, o, p, p, o, s, i, t, e, space, l, e, g, space, l, e, n, g, t, h, end text, divided by, start text, h, y, p, o, t, e, n, u, s, e, space, l, e, n, g, t, h, end text, end fraction 0.820.820, point, 82 0.910.910, point, 91 0.970.970, point, 97
\dfrac{\text{opposite leg length}}{\text{adjacent leg length}}
adjacent leg length
opposite leg length
​
start fraction, start text, o, p, p, o, s, i, t, e, space, l, e, g, space, l, e, n, g, t, h, end text, divided by, start text, a, d, j, a, c, e, n, t, space, l, e, g, space, l, e, n, g, t, h, end text, end fraction 1.431.431, point, 43 2.142.142, point, 14 3.733.733, point, 73
Use the table to approximate GHGHG, H in the triangle below.


Choose 1 answer:
Choose 1 answer:
Mathematics
1 answer:
Ratling [72]3 years ago
6 1

Answer:

Step-by-step explanation:

ok ok that is ong scrip bye

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What’s 18/1 as a mixed number
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8 0
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A corporation has 11 manufacturing plants. Of these, seven are domestic and four are outside the United States. Each year a perf
nikdorinn [45]

Answer:

The probability that a performance evaluation will include at least one plant outside the United States is 0.836.

Step-by-step explanation:

Total plants = 11

Domestic plants = 7

Outside the US plants = 4

Suppose X is the number of plants outside the US which are selected for the performance evaluation. We need to compute the probability that at least 1 out of the 4 plants selected are outside the United States i.e. P(X≥1). To compute this, we will use the binomial distribution formula:

P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ

where n = total no. of trials

           x = no. of successful trials

           p = probability of success

           q = probability of failure

Here we have n=4, p=4/11 and q=7/11

P(X≥1) = 1 - P(X<1)

          = 1 - P(X=0)

          = 1 - ⁴C₀ * (4/11)⁰ * (7/11)⁴⁻⁰

          = 1 - 0.16399

P(X≥1) = 0.836

The probability that a performance evaluation will include at least one plant outside the United States is 0.836.

7 0
3 years ago
Did I do this correctly?
Rina8888 [55]
Yes!
- you applied the distributive property
- combined like terms
- and answered the rest right!
8 0
3 years ago
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