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Elanso [62]
3 years ago
14

( 3 + 2i ) + ( 6 - 8i )

Mathematics
1 answer:
natta225 [31]3 years ago
4 0
9-6i is the answer, combine like terms
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How determine the scalr factor of A(3,6) A (4.5,9)
VARVARA [1.3K]
Because 3 / 6 = 0.5 and 4.5 / 9 = 0.5, the scale factor is 0.5 ;
8 0
3 years ago
A certain medical test is known to detect 73% of the people who are afflicted with the disease Y. If 10 people with the disease
Setler [38]

The probability of an event is the measurement of the chance of that event's occurrence. The probabilities of considered events are:

  • P(At least 8 have the disease) ≈ 0.4378
  • P(At most 4 have the disease)  ≈ 0.0342
<h3 /><h3>How to find that a given condition can be modeled by binomial distribution?</h3>

Binomial distributions consist of n independent Bernoulli trials. Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

X = B(n,p)

The probability that out of n trials, there'd be x successes is given by

P(X=x)  = ^nC_xp^x(1-p)^{n-x}

Since 10 people can be either diseased or not and they be so independent of each other (assuming them to be selected randomly) , thus, we can take them being diseased or not as outputs of 10 independent Bernoulli trials.

Let we say

Success= Probability of a diseased person tagged as diseased by the clinic

Failure = Probability of a diseased person tagged as not diseased by the clinic.

Then,

P(Success) = p = 72% = 0.72 (of a single person)

P(Failure) = q = 1-p = 0.28

Let X be the number of people diagnosed diseased by the clinic out of 10 diseased people. Then we have: X ≈ B(n+10,P=0.73)

Calculating the needed probabilities, we get:

a) P(At leased 8 have disease) = P(X≥8) =P(X=8) + P(X=9) + P(X=10)

P(X≥8) = ^{10}C_8(0.73)^8(0.28)^2+^{10}C_9(0.73)^9(0.27)^1+^{10}C_{10}(0.73)^{10}(0.27)^0

P(X≥8) ≈ 0.2548 + 0.1456 + 0.0374 ≈ 0.4378

b)  P(At most 4 have the disease) = P(X≤4) = P(X=0) + P(X=1)+P(X=2)+P(X=3)+P(X=4)

P (X ≤ 4) =

^{10}C_0(0.73)^0(0.27)^{10}+^{10}{C_1(0.73)^1(0.27)^9+^{10}{C_2(0.73)^2(0.27)^8+^{10}C_3(0.73)&^3(0.27)^7 \\

+^{10}C_4(0.73)^4(0.27)^6

P (X ≤ 4) = 0.000003 + 0.000076+0.00088+0.00604+0.02719

P (X ≤ 4) =  0.0342

Thus,

The probabilities of considered events are:

  • P(At leased 8 have disease) = 0.4378 approx
  • P(At most 4 have the disease)  = 0.0342 approx

Learn more about binomial distribution here:

brainly.com/question/13609688

#SPJ1

4 0
2 years ago
The price of a computer component is decreasing at a rate of 15% per year.
Alex_Xolod [135]

Answer:

  • exponential
  • $30.71

Step-by-step explanation:

Usually, this wording means the decrease is proportional to the current price, characteristic of an exponential function.

__

The decay factor is 1-(decay rate), so is 1-0.15 = 0.85. After 3 years, the value has been multiplied by this factor 3 times:

  $50×0.85³ ≈ $30.71 . . . . cost in 3 years

_____

<em>Comment on percent per year</em>

Less often, the indicated decrease is intended to be <em>that percentage of the original price</em>. The result is that the price decreases by a constant amount each year, a linear decrease. This condition most often arises in conjunction with figuring depreciation in value for tax or accounting purposes.

The upshot is that you always need to be careful to understand what the base of a percentage is intended to be.

5 0
3 years ago
Need help on this ASAP
vodomira [7]
76 granola bars
to solve this, you need to multiply 15 by 5 for the big boxes and 8 by 2 for the small boxes. 15 x 2 = 60 and 8 x 2 = 16, therefore adding them together gets you 76.
8 0
2 years ago
Bertha is running a marathon. Before she started to run, she drank 16 ounces of
Contact [7]

Answer: 68 ounces

Step-by-step explanation: 26x 2= 52   52+ 16= 68 ounces

7 0
3 years ago
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