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MariettaO [177]
3 years ago
12

Given the equation...

Mathematics
1 answer:
Semenov [28]3 years ago
8 0
Should be all real numbers
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Find the indicated function value for csc -450°
Mekhanik [1.2K]

Step-by-step explanation:

\csc( - 450 \degree) \\  \\  =  -  \csc450 \degree \\  \\  =  -  \csc(360 \degree + 90\degree) \\  \\  = -  \csc( 90\degree) \\  \\  =  - 1

4 0
4 years ago
Evaluate the expression when a=2 and b=4<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bb%20%7B%7D%5E%7B2%7D%20-%202a%20%7D%2
12345 [234]

Answer:

6

Step-by-step explanation:

Substitute a = 2 , b = 4 into the expression

\frac{b^2-2a}{a}

= \frac{4^2-2(2)}{2}

= \frac{16-4}{2}

= \frac{12}{2}

= 6

3 0
3 years ago
Read 2 more answers
The probability is 1 in 4,011,000 that a single auto trip in the United States will result in a fatality. Over a lifetime, an av
IrinaVladis [17]

Answer:

0.0114

Step-by-step explanation:

(a) What is the probability of a fatal accident over a lifetime?

Suppose A be the event of a fatal accident occurring in a single trip.

Given that:

P(1 single auto trip in the United States result in a fatality) = P(A)

Then;

P(A) = 1/4011000

P(A) = 2.493 × 10⁻⁷

Now;

P(1 single auto trip in the United States NOT resulting in a fatality) is:

P(\mathbf{\overline A}) = 1 -  P(A)

P(\mathbf{\overline A}) = 1 - 2.493 × 10⁻⁷

P(\mathbf{\overline A}) = 0.9999997507

However, P(fatal accident over a lifetime) = P(at least 1 fatal accident in lifetime i.e. 46000 trips)

= 1 - P(NO fatal accidents in 46000 trips)

Similarly,

P(No fatal accidents over a lifetime) = P(No fatal accident in the 46000 trips) = P(No fatality on the 1st trip and No fatality on the 2nd trip ... and no fatality on the 45999 trip and no fatality on the 46000 trip)

= [P(\overline A)] ^{46000}  \ \ \  (since \  trips \ are \ independent \ events)

= [0.9999997507]^{46000}

= 0.9885977032

Finally;

P(fatal accident over a lifetime) = 1 -  0.9885977032

P(fatal accident over a lifetime) = 0.0114022968

P(fatal accident over a lifetime) ≅ 0.0114

8 0
3 years ago
Item 19 A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 112 feet from a bu
liberstina [14]
The building is about 70.95 feet tall.

The building and the laser range will form a right triangle. You can use the Pythagorean Theorem to find the height of the building.

112^2 + b^2 = 131^2
b = 67.95

However, don't forget to add on 3 because that is the height of the laser range.
8 0
3 years ago
Determine the probability of choosing a pair need help
GalinKa [24]
7.5 is the answer have a good day
4 0
3 years ago
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