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Elza [17]
2 years ago
11

What is the solution to the system of equations? 5x+3y=18 2x−3y=10

Mathematics
1 answer:
Alexxx [7]2 years ago
7 0
Y + x = 7 that’s the answer. Hope this helps
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Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 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
2 years ago
Two of the angles in a triangle measure 15° and 27°. What is the measure of the third angle?
VashaNatasha [74]

Answer:

103

Step-by-step explanation:

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Can someone help me? :(
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Answer:

Silicone rubber is used.

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80km is 9% of what distance?
seropon [69]

Answer:

  888.89 km

Step-by-step explanation:

Write the given question as an equation and solve.

  80 km = 0.09 × (what distance)

  (80 km)/0.09 = what distance . . . . . divide by the coefficient of the variable

  888.89 km ≈ what distance

80 km is 9% of 888.89 km

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What is the answer to this problem
Sveta_85 [38]

Answer:

blah

Step-by-step explanation:

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