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Svetlanka [38]
3 years ago
15

PLEASE HELP!! NO LINKS- I WILL MARK BRAINLIEST!!

Mathematics
1 answer:
Ann [662]3 years ago
4 0

Answer:

J: 28 square root 3

K: 56

Step-by-step explanation:

not sure about J but def sure abt K

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Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are sum
s344n2d4d5 [400]

The contingency tables serve to record the frequencies with which an object appears according to the measured variables, in this case two variables, each with two scales, the scratch resistance and the shock resistance, both measured as high and low.

The information is organized in such a way that the value of each box represents the total number of objects that meet the characteristics measured for each variable, for example in this case we have 70 discs with <em>high shock resistance and high scratch resistance</em>, 9 with <em>high scratch resistance and low shock resistance</em>, 16 with <em>high shock resistance and low scratch resistance</em> and finally 5 discs with <em>low scratch and shock resistance</em>.

We complete the table like this to obtain other total values:

\qquad\qquad\qquad\qquad\qquad\text{Shock resistance}\\\text{Scratch resistence}\left[\begin{array}{cccc}&\text{high}&\text{low}&\text{total}\\\text{high}&70&9&79\\\text{low}&16&5&21\\\text{total}&86&14&100\end{array}\right]

With this information, and taking into account that the values ​​presented are frequencies, to obtain the probability, each one must be divided into the total number of objects and multiply by 100, for this case as 100 objects, the frequency is the same percentage or probability .

Answer

a) The probability that, when selecting a random disk, its scratch resistance is high and its shock resistance is high is 70%, since this is the value that corresponds to the intersection of both variables in the table.

b) the probability that, when selecting a random disk, its resistance to scratches is high or that its resistance to impacts is high is 95% because the probability that its resistance to scratches is high is 79 % and the probability that its impact resistance is high is 86%, as one or the other requests, this is the sum of both minus the intersection, that is 79% + 86% -70% = 95%

c) the two events described are not mutually exclusive, that is, they cannot pass through, since the table informs us that of the analyzed discs 70, these two characteristics possessed, high shock resistance and high scratch resistance

8 0
3 years ago
Learn with an example
Dennis_Churaev [7]

Answer:

Step-by-step explanation:

Because dividing any term by the previous term gives a constant this is a geometric sequence of the form an=y^(n-1). Since each term is four times the previous term y=4 so

an=4^(n-1)

8 0
3 years ago
A music buff wants to estimate the percentage of students at a midwestern university who believe that elvis is still alive. how
gulaghasi [49]
Since we are not given any information about the proportion, we will assume the sample proportion to be 0.50

so,
p = 0.50
The Error is 10% percentage point. This means that on either side of the population proportion the error is 5% so E = 0.05
z = 1.645 (Z value for 90% confidence interval)

The margin of error for population proportion is calculated as:

E=z* \sqrt{ \frac{p(1-p)}{n} }  \\  \\ &#10; \frac{E}{z} = \sqrt{ \frac{p(1-p)}{n} }  \\  \\ &#10;( \frac{E}{z} )^{2}= \frac{p(1-p)}{n} \\  \\ &#10;n= p(1-p)* (\frac{z}{E})^{2}  \\  \\ &#10;n=271

This means 271 students should be included in the sample
5 0
3 years ago
PLS HELP I NEED TO TURN THIS IN SOON
victus00 [196]

Answer:

I am pretty sure 40%

Step-by-step explanation:

if not srry

7 0
3 years ago
Read 2 more answers
1.) Which function in vertex form is equivalent to f(x) = x2 + x +1?
Gwar [14]
Hello,

Answer C

x²+x+1=(x²+2*1/2*x+1/4)+1-1/4=(x+1/2)²+3/4


5 0
3 years ago
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