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vlada-n [284]
3 years ago
5

What is the solution to this equation? 4x + x - 15 + 3 - 8x = 13

Mathematics
1 answer:
grigory [225]3 years ago
5 0
4x + x - 15 + 3 -8x = 13

Combine like terms:
(4x+x-8x) + (-15+3) =13

-3x-12 = 13

+12 +12
———————-
-3x = 25
— —-
-3 -3

X= -25/3
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Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered
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d- point

Step-by-step explanation:

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6 0
3 years ago
Most major airlines allow passengers to carry two pieces of luggage (of a certain maximum size) onto the plane. However, their s
igor_vitrenko [27]

Answer:

The correct option is

d) (179.20, 212.716)

Step-by-step explanation:

We have out of a random sample of 1000, 345 carried more than a bag

Therefore in the question our X = 345 passengers carry more than a piece of luggage

n = 1000

Therefore the probability of a passenger carrying more than one luggage = 345/1000 = 0.345

The confidence interval estimator of p is given by

p'+/-z_{\alpha/2}\sqrt{\frac{p'(1-p')}{n} } where p' = 0.345 = probability of desired outcome

n = 1000 = Population size

z at 95 %   = Confidence interval estimate, the value is sought from the distribution table as z value is 1.96 at 95 % confidence level

We have  0.345+/-1.96\sqrt{\frac{0.345*(0.655)}{1000} } which gives

0.3745 or 0.3155

Which gives the range of confidential interval estimate as

212.695 to 179.224 which is equivalent to

d) (179.20, 212.716).

8 0
4 years ago
When individuals in a sample of 150 were asked whether or not they supported capital punishment, the following information was o
borishaifa [10]

Answer:

\chi^2 = \sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

The expected values for all the categories is :

E_i =\frac{150}{3}=50

And then the statistic would be given by:

\chi^2 = \frac{(40-50)^2}{50}+\frac{(60-50)^2}{50}+\frac{(50-50)^2}{50}=4

And the best option would be:

b. 4

Step-by-step explanation:

For this problem we have the following observed values:

Yes 40 No 60 No Opinion 50

And we want to test the following hypothesis:

Null hypothesis: All the opinions are uniformly distributed

Alternative hypothesis: Not All the opinions are uniformly distributed

And for this case the statistic would be given by:

\chi^2 = \sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

The expected values for all the categories is :

E_i =\frac{150}{3}=50

And then the statistic would be given by:

\chi^2 = \frac{(40-50)^2}{50}+\frac{(60-50)^2}{50}+\frac{(50-50)^2}{50}=4

And the best option would be:

b. 4

7 0
4 years ago
A line contains the points (82, −96) and (87, −86) .
BartSMP [9]
A line contains the points (82, −96) and (87, −86) .What is the slope of the line in simplified form?
Here are the points: (82, −96) and (87, −86) You could let <span><span>x1</span>=82</span> and <span><span>x2</span>=87</span>


6 0
3 years ago
Please help i need to know this now!
rusak2 [61]

Answer:

Formula is 4/3×pi×r^3

Volume of sphere is 17157.3 in

Step-by-step explanation:

Use the formula

4/3×3.1416×16×16×16

4/3×3.1416×4096

4/3×12867.9936

51471.9744/3

17157.3248

Approx 17157.3

7 0
3 years ago
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