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Lemur [1.5K]
3 years ago
11

Log(x+3)(2x+3)+log(x+3)(x+5)=2

Mathematics
1 answer:
trasher [3.6K]3 years ago
4 0
<span>log(x-3)+log(x) = 2 + log(x+2) 
---------------------------
log[(x-3)x] - log(x+2) = 2
-----
log[(x^2-3x)/(x+2)] = 2
----
(x^2-3x)/(x+2) = 2^2
-------

x^2-3x = 4x+8
x^2 - 7x - 8 = 0
Factor:
(x-8)(x+1) = 0
Positive solution:
x = 8</span>
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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
Read 2 more answers
True or False: A p is the probability that the results are not due to chance, the probability that the null hypothesis (H0) is f
professor190 [17]

Answer:

False

Step-by-step explanation:?

The hypothesis tests compare weather an event is meant to alter a population mean results, for example, a scientist experiment might have or not have a significant effect over the population results. The test aims to reject the null hypothesis, so what it really want to find out is if the alternative Hypothesis H1 is likely true. The null hypothesis is the probability that the results are not due to chance – if it’s rejected, then the results are due to chance.The level of significance , or so called p-value, is the probability that the null hypothesis (H0) happen , If p is very small then the null hypothesis is rejected - isn’t true- and the alternative Hypothesis is accepted. A higher P value implies a higher probability than results are not happening so that the H0 is accepted and H1 rejected. The null Hypothesis will normally will rejected when the level of significance are either lower than 0.05 or 0.01, the lower P value the higher the level of confidence that the results are due to chance.

Since the first part of the statement (A p is the probability that the results are not due to chance) is correct, and the second part is wrong (…the probability that the null hypothesis (H0) is false), the total statement is false. The correct statement would be as follows : A p is the probability that the results are not due to chance, the probability that the null hypothesis (H0) is true.  

7 0
2 years ago
Jose has -75 points. He wins 200 points;then he loses 25 points. How many points does he have now?
Sav [38]

Answer:

100 points

Step-by-step explanation:

-75 + 200 = 125

125 - 25 = 100

3 0
2 years ago
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Please help I'm very confused and frustrated.
Ray Of Light [21]

Step-by-step explanation:

-36.8 + 9.2(2). [as the value of x is 2]

-36.8 + 18.4

= - 18.4 [as the number with the

Negative sign is greater]

7 0
2 years ago
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What is the distributive property of 2 times 8
malfutka [58]
2*8 using <span>distributive property
= 2(3+5)
= 6+ 10
= 16</span>
5 0
3 years ago
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