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Tresset [83]
3 years ago
10

An angle measure is 72.3 degrees. What is the measure of its complement? (I already tried 17.7 and that’s not correct).

Mathematics
1 answer:
Makovka662 [10]3 years ago
6 0

Answer:

I got 17.7°

Step-by-step explanation:

Since a complimentary angle adds up to 90 degrees, this would be the right answer... does it require a degree symbol?

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1Y, the number of accidents per year at a given intersection, is assumed to have a Poisson distribution. Over the past few years
miss Akunina [59]

Answer:

The probability that the intersection will come under the emergency program is 0.1587.

Step-by-step explanation:

Lets divide the problem in months rather than in years, because it is more suitable to divide the period to make a better approximation. If there were 36 accidents in average per year, then there should be 3 accidents per month in average. We can give for the amount of accidents each month a Possion distribution with mean 3 and variance 3.

Since we want to observe what happen in a period of one year, we will use a sample of 12 months and we will take its mean. We need, in average, more than 45/12 = 3.75 accidents per month to confirm that the intersection will come under the emergency program.

For the central Limit theorem, the sample mean will have a distribution Normal with mean 3 and variance 3/12 = 0.25; thus its standard deviation is √0.25 = 1/2.

Lets call the sample mean distribution X. We can standarize X obtaining a standard Normal random variable W with distribution N(0,1).

W = \frac{X-\mu}{\sigma} = \frac{X-3}{1/2} = 2x-6

The values of \phi , the cummulative distribution function of W, can be found in the attached file. We are now ready to compute the probability of X being greater than 3.75, or equivalently, the probability than in a given year the amount of accidents is greater than 45, leading the intersection into an emergency program

P(X > 3.75) = P(2X-6 > 2*3.75-6) = P(W > 1) = 1-\phi(1) = 1-0.8413 \\= 0.1587

Download pdf
7 0
3 years ago
A television​ network, Network​ A, is scheduling its fall lineup of shows. For the Tuesday night 8 p.m.​ slot, Network A has sel
Mazyrski [523]

Answer:

The number of viewers Network A expects will watch their show is 1.4 million viewers.

Step-by-step explanation:

The expected value is calculated by multiplying the possible outcomes by the probability of their occurrence and adding the results

Therefore, we have the expected value given by the following expression;

Estimated network A viewers  where network B schedule top show = 1.1 million viewers

Estimated network A viewers where network B schedule a different show = 1.6 million viewers

Probability that Network B will air its top show = 0.4

Probability that Network B will air another show = 0.6

We therefore have;

Expected value, E of Network A viewers is therefore;

E = 1.1 × 0.4 + 1.6 × 0.6 =  0.44 + 0.96 = 1.4 million viewers.

Network A expects 1.4 million viewers will watch their show.

3 0
3 years ago
Hiii please help me thank youuuu:)
anastassius [24]
63 I think, you would subtract
5 0
2 years ago
Read 2 more answers
4) There are 4,200 beads in a box. There are 6 bags of beads in each box. If each bag has the same number of beads, how many bea
Helga [31]

Answer:

700 beads are in each bag.

Step-by-step explanation:

4 0
2 years ago
Help me please I will give brainlest!
Makovka662 [10]
2(x+7)3X



I think... look it up  though to be sure
8 0
3 years ago
Read 2 more answers
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