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dmitriy555 [2]
3 years ago
10

Find the values of 3*(* stands for x) and (1/3)*(* stands for x) for different values of x. Values of x are: 1, 2, 3, 4

Mathematics
1 answer:
kumpel [21]3 years ago
7 0
If x=1
1/3x = 1/3
3x = 3

If x=2
1/3x=2/3
3x=6

If x=3
1/3x=1
3x=9

If x=4
1/3x=1 1/3
3x+12
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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
Bob’s heart rate is 68 beats per minute. a. If this is his average heart rate, how many times will his heart beat in 15 years? b
cluponka [151]

Answer:

Try googling it

Step-by-step explanation:

8 0
2 years ago
What is the median of this set of data: 593, 588, 540, 434, 420, 398, 390, 375
Anna [14]
C. 427

The median is the middle number of all the data

Since there is an even number of data points the median is in between the middle two data points (434 and 420)

To find this: 434-420=14
14/2=7
434-7=427
420+7=427
8 0
2 years ago
I was walking to the store at the same time as my friend Angela. No matter what, She has always gotten there twice as fast as me
atroni [7]
Let's call your speed "a"

her walking speed is then "2a"

and her friend's scooter speed is 10 a

let's also call the distance you need to walk "d"

so the time (t)you need is:

d/t=a
t=d/a

and her time is:
 t=\frac{d}{2} /2a+ \frac{d}{2} /10a
(half a distance with the speed of 2a and half a distance (d/2) with the distance of 10 a

now we count (we know that her time is 30 minutes)

30= \frac{d}{4a}+\frac{d}{20a} //multiply by 20a

600a= 5d+d
600a=6d/divide by 6
100a=d

Now, in order to calculate your time we need to calculate:

t=d/a

but we know how much is d now!
t=\frac{100a}{a}=100

which means that you need 100 minutes, or 1 h 40 minutes!!!

6 0
3 years ago
WHOEVER FINISHES FIRST I WILL MARK AS BRAINLIEST!!!
Lady bird [3.3K]

Answer:

-350%  -0.4%   -40%  -37.5% hope this helps!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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