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strojnjashka [21]
3 years ago
7

Find the equation of the line in slope-intercept form that passes through (2, 7) and (-1, 5).

Mathematics
1 answer:
Elena L [17]3 years ago
6 0
The answer is given above

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A certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at th
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Answer:

Interval [16.34 , 21.43]

Step-by-step explanation:

First step. <u>Calculate the mean</u>

\bar X=\frac{(23+18+23+12+13+23)}{6}=18.666

Second step. <u>Calculate the standard deviation</u>

\sigma =\sqrt{\frac{(23-18.666)^2+(18-18.666)^2+(23-18.666)^2+(12-18.666)^2+(13-18.666)^2+(23-18.666)^2}{6}}

\sigma=\sqrt\frac{18.783+0.443+18.783+44.435+5.666+18.783}{6}

\sigma=\sqrt{17.815}=4.22

As the number of data is less than 30, we must use the t-table to find the interval of confidence.

We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).  

We must then choose t = 1.476 (see attachment)

Now, we use the formula that gives us the end points of the required interval

\bar X \pm t\frac{\sigma}{\sqrt n}

where n is the number of observations.

The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43

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Convert 34.0 dm to km. Show all work.
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Step-by-step explanation:

Convert 34 Decimeters to Kilometers (dm to km) with our conversion calculator and conversion tables. To convert 34 dm to km use direct conversion formula below.

34 dm = 0.0034 km.

You also can convert 34 Decimeters to other Length (popular) units.

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3 years ago
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Answer:

BC~=AD (GIVEN )

CBA=CDA (altanate angles BC=AD)

C=A (altanate angles (BC=AD)

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(Picture) MULTIPLYING POLYNOMIALS AND SIMPLIFYING EXPRESSIONS PLEASE HELP!!!!
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Answer:

  • -32x² +8x -8
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Step-by-step explanation:

The simplified expression is ...

  3x(x -12x) +3x² -2(x -2)²

  = 3x(-11x) +3x² -2(x² -4x +4) . . . . . simplify contents of parentheses

  = -33x² +3x² -2x² +8x -8 . . . . . . . .eliminate parentheses

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