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DanielleElmas [232]
3 years ago
13

An angle is 15 degrees less than twice its complement. find the angles

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0
The measure of an angle = 2 * the compliment of the angle - 15
Angle = 2 * (180 - angle) - 15
x = 2 * 180 - 2 * x - 15
x = 345 - 2x
3x = 345

x = 115 degrees.
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Order the distances from least to greatest:
Luba_88 [7]

Step-by-step explanation:

5.5

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so from least to greatest will be :

sqrt 28 - 5.5 and 5 1/2 then 23/4

7 0
3 years ago
Two families are sharing the cost of vacation home for one week. The cost to rent the home is $3,513 plus a $351.30 deposit. Wha
Natali [406]

The answer is $1932.15

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Hope this helps!

6 0
4 years ago
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The amount of time workers spend commuting to their jobs each day in a large metropolitan city has a mean of 70 minutes and a st
Xelga [282]

Answer:

81.85% of the workers spend between 50 and 110 commuting to work

Step-by-step explanation:

We can assume that the distribution is Normal (or approximately Normal) because we know that it is symmetric and mound-shaped.

We call X the time spend from one worker; X has distribution N(μ = 70, σ = 20). In order to make computations, we take W, the standarization of X, whose distribution is N(0,1)

W = \frac{X-μ}{σ} = \frac{X-70}{20}

The values of the cummulative distribution function of the standard normal, which we denote \phi , are tabulated. You can find those values in the attached file.

P(50 < X < 110) = P(\frac{50-70}{20} < \frac{X-70}{20} < \frac{110-70}{20}) = P(-1 < W < 2) = \\\phi(2) - \phi(-1)

Using the symmetry of the Normal density function, we have that \phi(-1) = 1-\phi(1) . Hece,

P(50 < X < 110) = \phi(2) - \phi(-1) = \phi(2) - (1-\phi(1)) = \phi(2) + \phi(1) - 1 =  \\0.9772+0.8413-1 = 0.8185

The probability for a worker to spend that time commuting is 0.8185. We conclude that 81.85% of the workers spend between 50 and 110 commuting to work.

Download pdf
7 0
3 years ago
If three times a number plus four is no more than four times the number minus one, which of the
pychu [463]
The number is at least 5
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3 years ago
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( 27 thousands 3 hundreds 5 ones) x 10=
kirill [66]

Answer:

273,050

Step-by-step explanation:

(27000+300+5)×10

=27305×10

=273050

8 0
3 years ago
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