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Inessa [10]
3 years ago
10

If b (middle term) is negative and c (last term is positive) then what do you know about the two factors? ex. 2x^2-7x+6

Mathematics
1 answer:
seraphim [82]3 years ago
4 0

Answer:

  signs of the constants in the binomial factors are negative

Step-by-step explanation:

Assuming the first term (a) is positive, the fact that c is negative means the constants in the binomial factors have the same sign. The negative b means that sign is negative.

  2x^2 -7x +6 = (x -2)(2x -3)

__

<em>Further comment</em>

c is the product of the constants in the binomial factors so will be positive when both those constants have the same sign.

b is the sum of the constants in the binomial factors. If both factors have the same sign (c > 0), then those constants have the same sign as b.

In this analysis, "a" is assumed to be positive. If it is not, then the same analysis can be done after reversing all of the signs.

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Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 &lt; t &lt; 1.29). Round your answer to at least three deci
ss7ja [257]

Answer:

a) 0.76197086

b) -1.73406361

Step-by-step explanation:

a)

Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 1.29)

P(-1.29 < t < 1.29) would be the area under the t distribution curve with 7 degrees of freedom between -1.29 and 1.29, that is in the interval (-1.29, 1.29).

This can be done the old style by looking up in a table or by using the technology with a spreadsheet.

In Excel, the function TDIST(x,n,2) with x>0 gives the area outside the interval (-x, x) of the t distribution with n degrees of freedom.

So TDIST(1.29,7,2) gives the area outside (-1.29, 1.29).

If we subtract this value from 1 we get the desired result

Hence  

P(-1.29 < t < 1.29) = 1 - TDIST(1.29,7,2) = 1 - 0.23802914 = 0.76197086

In OpenOffice Calc, the function is the same replacing “,” with “;”  

That is

P(-1.29 < t < 1.29) = 1 - TDIST(1.29;7;2) = 0.76197086

b)

Consider a t distribution with 18 degrees of freedom. Find the value of c such that P(t≤ c) = 0.05

We are looking for a point c such that the area of the t distribution with 18 degrees of freedom to the left of c is 0.05

In Excel, the inverse function of TDIST is TINV.  

TINV(p*2,n) with p>0 gives the point c such that the area of the t distribution with n degrees of freedom to the right of c is p.  

Since <em>the t distribution is symmetric with respect to 0</em>, -c would be a point such that the area to the left of -c is p.

So we want to compute  in Excel

-TINV(0.05*2,18) = -1.73406361

In OpenOffice Calc  

-TINV(0.05*2;18) = -1.73406361

3 0
3 years ago
3. Escribe la ecuación de la elipse que cumple con:<br> F1(-3,0) F2(3,0) y a=4
maks197457 [2]

Answer:

90

Step-by-step explanation:

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3 years ago
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d1i1m1o1n [39]

Answer: ]1, 2[

Step-by-step explanation:

A \cap B=[0; 2[\\\\(A \cap B)-C=]1, 2[

8 0
2 years ago
Simplify the expression <br> 9− 3(2)2
Kazeer [188]

Answer:

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Step-by-step explanation:

9-3(2)2

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3 0
3 years ago
Read 2 more answers
The formula h = 60t - 5t2 can be used to find the height h, in meters, of an object shot upward with initial speed of 60 meters
slega [8]

Answer:

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Step-by-step explanation:

h = 60t - 5t²

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Sub the value '3' into 't'

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h = 180 - 5(9)

h = 180 - 45

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7 0
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