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Vlad1618 [11]
3 years ago
10

Solve the equation 3+2/5x=11-2/5x using at least two different sequences of steps. Show your work for each step.​

Mathematics
1 answer:
Rina8888 [55]3 years ago
4 0
First combine like terms ,
5/5x=9/5x
move the variable which will cancel out because it is the same
5=9 is no solution sorry if i’m wrong lol
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Yolanda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the str
Nutka1998 [239]
Given the frequency table on the relationship between red hair and green eyes.
                       Green Eyes            Eye Color other than Green             Total
Red Hair                18                                       29                                    47

Hair Color
other than             114                                     650                                  764
Red

Total                     132                                     679                                   811

The relative frequency table is obtained from a frequency table by dividing each entry of the requency table by the overall total of the frequency table.

The relative frequency table of the frequency table above is given below.
                       Green Eyes              Other Eye Color                    Total
Red Hair   18/811 = 0.02 = 2%      29/811 = 0.04 = 4%    47/811 = 0.06 = 6%

Other Hair
Color       114/811 = 0.14 = 14%|650/811 = 0.80 = 80%|764/811 = 0.94 = 94%

Total        132/811 = 0.16 = 16%|679/811 = 0.84 = 84%|811/811 = 1.0 = 100%

Given that x is the relative frequency of people that have other hair color and have green eyes, thus, the value of x is 14%.

Therefore, <span>the value of x in the table = 14%.</span>
8 0
3 years ago
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Which shows the image of ΔRST after the rotation (x, y) → (y, –x)?
german

Answer: I need help pls

Step-by-step explanation:

4 0
3 years ago
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The arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M. Find the probability
NeTakaya

Answer:

0.025

Step-by-step explanation:

Given that the arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M.

If the professor did not arrive till 8.20 he will arrive between 8.21 and 8.40

Hence probability for arriving after 8.20 is 1/40

Prob he arrives at exactly 8.21 is 1/60

To find the probability that professor will arrive in the next minute given that she has not arrived by 8: 20.

= Prob that the professor arrives at 8.21/Prob he has not arrived by 8.20

This is conditional probability and hence

= P(professor arrives at 8.21)/P(professor arrives after 8.20)\\= \frac{\frac{1}{60} }{\frac{40}{60} } \\=\frac{1}{40} \\=0.025

7 0
4 years ago
g (15 points) Suppose 42 out of 600 rats exposed to a potential carcinogen develop tumors. A control group of 350 rats not expos
vazorg [7]

Answer:

a) The relative risk is 1.8\overline{846153}

b) The attributable risk is 0.69 \overline{047619}

c) There is a relationship between exposure and tumor risk

Step-by-step explanation:

The number of exposed rats that develop tumors, a = 42

The number of rats exposed to the carcinogen = 600 rats

The number of exposed rats that did not develop tumors, b = 600 - 42 = 558

The number of not exposed rats in the control group = 350 rats

The number of rats that develop tumors in the control group, c = 13 tumors

The number of not exposed rats that did not develop tumors, d = 350 - 13 = 337  rats

a) The relative risk, RR = a/(a + b)/(c/(c + d))

∴ RR = (42/(42 + 558))/(13/(13 + 337)) = 49/26 = 1.8\overline{846153}

b) The attributable risk = (a - c)/a

∴ The attributable risk = (42 - 13)/42 = 0.69 \overline{047619}

c) The odds ratio = (a·b)/(c·d)

∴ The odds ratio = 42 × 558/(13 × 337) = 23439/4381 ≈ 5.35

Given that the result of attributable risk is positive, there is an indication that there is a higher probability to develop tumor when exposed to the potential carcinogen, therefore, there is a relationship between exposure and tumor risk

7 0
3 years ago
Simplify the following expression:<br> -8 (5b + 2) -7 ( b-5)
RUDIKE [14]

Answer:

-8(5b+2)-7(b-5)

first, use distributive property to get:

-40b-16-7b+35

then, use combine like terms to simplify:

-47b+19

that's your answer!

:)))))))))

3 0
3 years ago
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