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VashaNatasha [74]
3 years ago
12

3x^2-7x+4=0 solve for x. Write both solutions separated by a comma

Mathematics
2 answers:
Alex73 [517]3 years ago
8 0
Hi \\  \\ 3x\²-7x+4 ~~--\ \textgreater \  \boxed{\frac{-b\pm \sqrt{b\²-2ac} }{2a} } \\ a=3 \\ b=-7 \\ c=4 \\  \\ x= \frac{7\pm \sqrt{(-7)\²-2.3.4 } }{2.(3)}  \\  \\ x= \frac{7\pm5}{6} \begin{cases}x_1= \frac{7+5}{6}=2 \\  \\ x_2= \frac{7-5}{6}= \frac{1}{3}   \end{cases} \\  \\ \therefore~(2; \frac{1}{3}) \\  \\  \\
LiRa [457]3 years ago
8 0
3x²-7x+4=0
3x²-3x-4x+4=0
3x(x-1)-4(x-1)
(x-1)(3x-4)
x=1 x=4/3
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What was the age distribution of prehistoric Native Americans? Extensive anthropological studies in the southwestern United Stat
neonofarm [45]

Answer:

\bar X = \frac{\sum_{i=1}^n X_i f_i}{n}= \frac{1394}{88}=15.8

s^2 = \frac{88(32372) -(1394)^2}{88(88-1}=118.3

Sd(X) = \sqrt{118.273}=10.9

Step-by-step explanation:

Previous concepts

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

And the standard deviation of a random variable X is just the square root of the variance.  

Solution to the problem

For this case we can calculate the properties required with the following table:

Interval     Mid point (x)     f           x*f         x^2 *f

_________________________________________

1-10               5.5               40        220         1210

11-20             15.5              15        232.5       3603.75

21-30            25.5             23       586.5       14955.75

>31                35.5             10        355          12602.5

________________________________________

Total                                 88        1394         32372

We assume that the mid point for the class >31 is 35.5 using the problem information.

For this case the expected value would be given by:

\bar X = \frac{\sum_{i=1}^n X_i f_i}{n}= \frac{1394}{88}=15.8

The variance owuld be given by this formula"

s^2 = \frac{n(\sum x^2 f) -(\sum xf)^2}{n(n-1}

And if we replace we got:

s^2 = \frac{88(32372) -(1394)^2}{88(88-1}=118.3

The standard deviation would be just the square root of the variance:

Sd(X) = \sqrt{118.273}=10.9

4 0
3 years ago
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shutvik [7]

Answer:

it is D

Step-by-step explanation:

8 0
3 years ago
35% of salt is in feta cheese. What percentage of salt is in that 350 g cheese?
xxMikexx [17]

The amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.

<h3>What is percentage of a number?</h3>

Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.

35% of salt is in feta cheese. The percentage of salt is in that 350 g cheese has to be found out.

Let suppose there is x grams of slat in feta cheese of 350 g. Thus, the amount of salt (35% of 350) is,

x=\dfrac{35}{100}\times350\\x=122.5\rm\; gm

Thus, the amount of salt is in the 350 g of feta cheese, when there is 35% of salt is in cheese, is 122.5 grams.

Learn more about the percentage here;

brainly.com/question/2085058

#SPJ1

5 0
2 years ago
Offering Brainliest , a 5 star review, and a like on your answers if you can successfully answer these last 2 simple coordinate
adelina 88 [10]

Answer: pretty sure it's -1,1

M ( 3 , 1 )

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Can someone please help me work out the missing angles please I’m struggling
Vladimir [108]

Step-by-step explanation:

a =45°

b=45°

c=30°

d=30°

e=30°

f=30°

total of the angle

90×4=360

6 0
2 years ago
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