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Ivan
3 years ago
15

Factorize 2x²y⁴-6xy³​

Mathematics
1 answer:
Gekata [30.6K]3 years ago
5 0

Answer:

=2xy^3x(xy-3)

Step-by-step explanation:

2x^2y4-6xy^3

=2xy^3x(xy-3)

=2xy^3x(xy-3)

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A random sample of 64 observations produced a mean value of 84 and standard deviation of 5.5. The 90% confidence interval for th
ASHA 777 [7]

Answer:  The 90% confidence interval for the population mean μ is between 82.85 and 85.15,

Step-by-step explanation:

When population standard deviation is not given ,The confidence interval population proportion is given by (\mu ):-

\overline{x}\pm t^*\dfrac{s}{\sqrt{n}}

, where n= Sample size.

s= Sample standard deviation

\overline{x} = sample mean

t* = Critical t-value (Two-tailed)

As per given , we have

\overline{x}=84

n= 64

Degree of freedom : df = n-1=63  

s= 5.5

Significance level : \alpha=1-0.90=0.1

Two-tailed T-value for df = 63 and  \alpha=1-0.90=0.1 would be

t_{\alpha/2,df}=t_{0.05,63}=1.669  (By t-distribution table)

i.e. t*= 1.669

The 90% confidence interval for the population mean μ would be

84\pm (1.669)\dfrac{5.5}{\sqrt{64}}

=84\pm (1.669)\dfrac{5.5}{8}

\approx84\pm 1.15

=(84-1.15,\ 84+1.15)=(82.85,\ 85.15)

∴ The 90% confidence interval for the population mean μ is between 82.85 and 85.15,

6 0
4 years ago
Help for 45 points plz help me
aivan3 [116]
Hey there! :D

By looking at the graph, and how the question states the x-axis and the y-axis are correlated:

The x being Weight in pounds, and y being the cost in dollars,

the correct answer is "C". Point W is stating the unit price per pound, which is 2.50. 

I hope this helps!
`laikers
3 0
3 years ago
I WILL MARK BRAINLIST!!
Soloha48 [4]

Answer:

For (2x^2 + 8x - 8), the group is CLOSED as it a polynomial.

Step-by-step explanation:

Here, the given polynomials are:

P(x)=(5x^2+2x-6)\\Q(x)=(3x^2-6x+2)

Now, a group G is said to be <u>CLOSED UNDER SUBTRACTION</u> if,

a and b are he elements of G ⇒ (a-b) is ALSO AN ELEMENT of G

Now, here:

R(x)  = P(x) - Q(x) = (5x^2+2x-6) - (3x^2-6x+2) = (2x^2 + 8x - 8)

or, R(x)  = (2x^2 + 8x - 8)

Also, R(x) is a POLYNOMIAL.

So, R(x) is an Element of group G.

So, the set G of polynomials.

Hence, for the polynomial  (2x^2 + 8x - 8), it will be a polynomial the group is CLOSED.

3 0
3 years ago
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The lines below are perpendicular. If the slope of the green lines in 3/2, what is the slope of the red line
MakcuM [25]

Answer:

-2/3

Step-by-step explanation:

Where 2 lines are perpendicular,  the slope of one = - 1 / slope of the other.

Thus the slope of the red line  is - 1 / 3/2

= -2/3

3 0
3 years ago
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Identify a pair of lines that looks parallel in the diagram.<br><br> pls help me
saveliy_v [14]

Lines f and g look to be parallel to each other.

8 0
1 year ago
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