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ICE Princess25 [194]
3 years ago
15

STATE WHAT EACH VARIABLE REPRESENTS.

Mathematics
1 answer:
irina [24]3 years ago
6 0

Answer:

17 and 53.

Step-by-step explanation:

Let the two unknown numbers be x and y respectively.

Translating the word problem into an algebraic expression, we have;

x + y = 70 ...... equation 1

x - y = 36 ...... equation 2

From equation 1;

x = 70 - y ...... equation 3

Substituting eqn 3 into eqn 2, we have;

70 - y - y = 36

70 - 2y = 36

70 - 36 = 2y

2y = 34

y = 17

Next, we find x;

x = 70 - y

x = 70 - 17

x = 53

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a certain virus infects one in every 600 people. a test used to detect the virus in a person is positive 90% of the time if the
Alona [7]
  1. the probability that a person has the virus given that they have tested positive is  0.0151.
  2. the probability that a person does not have the virus given that they have tested negative is  0.9999

P(A) = 1/600 = 0.0017

P(B) = 0.9 * 0.0017 + 0.1 * (1 - 0.0017) = 0.1014

A) P (has the virus | tested positive) = P (tested positive | has the virus) ×  

                                                          P (has the virus)/ P (tested positive)

                                                         = 0.9 × 0.0017/0.1014  

                                                         = 0.0151

B) P (does not have the virus | tested negative) = P (tested negative | does not have the virus) × P (does not have the virus)/ P (tested negative)

= (1 - 0.1) *× (1 - 0.0017)/ (1 - 0.1014)  

= 0.9999

Probability is the department of mathematics regarding numerical descriptions of ways likely an occasion is to occur, or how possibly it's far that a proposition is genuine. The possibility of an occasion varies between zero and 1, wherein, roughly speaking, 0 suggests the impossibility of the occasion and 1 shows certainty. The better the possibility of an event, the more likely it is that the event will arise.  

A simple instance is the tossing of an honest (unbiased) coin. since the coin is truthful, the 2 results ("heads" and "tails") are both equally likely; the possibility of "heads" equals the chance of "tails"; and considering the fact that no different results are feasible, the possibility of both "heads" or "tails" is 1/2 (that could additionally be written as 0.5 or 50%).

To learn more about Probability visit here:

brainly.com/question/11234923

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6 0
2 years ago
Solve please. Fastest + most accurate answer gets brainliest.
asambeis [7]

Answer:

QPR is 47

Step-by-step explanation:

I dont know the rest sorry

4 0
3 years ago
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What does 5 1/3 + 6 1/6 equal in simplest form
Amanda [17]
11 1/2 is your answer good luck!
7 0
3 years ago
Read 2 more answers
Find:
emmasim [6.3K]

Answer:

Step-by-step explanation:

Given the dataset 147, 154, 156, 161, 162,

Mean is the sum of the dataset divided by the total number of dataset.

a) Mean = \sum Xi/N

\overline x = \dfrac{147+154+156+161+162}{5}\\ \\\overline x = \dfrac{780}{5}\\ \\\overline x= 156

b) The formula for calculating the deviation from the mean for each value is expressed as Xi - \overline X where;

Xi is value of each item

xbar is the mean = 156

Mean deviation of 147 = 147-156 = -9

Mean deviation of 154 = 154-156 = -2

Mean deviation of 156 = 156-156 = 0

Mean deviation of 161 = 161-156 = 5

Mean deviation of 162 = 162-156 = 6

c) Sum of the deviations \sum Xi - \overline X = (-9-2+0+5+6)

\sum Xi - \overline X = -11+11

\sum Xi - \overline X = 0

<em>Hence the sum of deviation from the mean is 0</em>

5 0
3 years ago
PLEASE HELP ASAP!! I WILL GIVE BRAINLIEST FOR FASTEST AND CORRECT ANSWER!!!!
Semmy [17]

Answer:

#1 AB is equal to AB

Step-by-step explanation:

It's basic A'B' = A'B' you could get confused with the perpendicularity but it's most likely equal :)

5 0
4 years ago
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