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il63 [147K]
2 years ago
14

Thankssssssss smmmmmmm

Mathematics
1 answer:
vodomira [7]2 years ago
5 0

9514 1404 393

Answer:

  46

Step-by-step explanation:

The length of base CD is twice the length of midsegment FG, so you can write the equation ...

  CD = 2×FG

  -3x +52 = 2(13 +5x)

  52 = 26 +13x . . . . . . . . add 3x, simplify

  26 = 13x . . . . . . . . . subtract 26

  2 = x . . . . . . . . . . divide by 13

Then the measure of CD is ...

  CD = -3x +52 = -3(2) +52 = -6 +52

  CD = 46

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Ten college students were randomly selected. Their grade point averages​ (GPAs) when they entered the program were between 3.5 a
solong [7]

Answer:

The 95% confidence interval for the true slope is (0.03985, 0.14206).

Step-by-step explanation:

For the regression equation:

\hat y=\alpha +\hat \beta x

The (1 - <em>α</em>)% confidence interval for the regression coefficient or slope (\hat \beta ) is:

Ci=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )

The regression equation for current GPA (Y) of students based on their GPA's when entering the program (X) is:

\hat Y=3.584756+0.090953 X

The summary of the regression analysis is:

Predictor          Coefficient             SE             t-stat            p-value

Constant             3.584756          0.078183       45.85075      5.66 x 10⁻¹¹

Entering GPA   0.090953          0.022162        4.103932       0.003419

The regression coefficient and standard error are:

\hat \beta = 0.090953\\SE (\hat \beta)=0.022162

The critical value of <em>t</em>  for 95% confidence level and 8 degrees of freedom is:

t_{\alpha/2, n-2}=t_{0.05/2, 10-2}=t_{0.025, 8}=2.306

Compute the 95% confidence interval for (\hat \beta ) as follows:

CI=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )\\=0.090953\pm 2.306\times 0.022162\\=0.090953\pm 0.051105572\\=(0.039847428, 0.142058572)\\\approx (0.03985, 0.14206)

Thus, the 95% confidence interval for the true slope is (0.03985, 0.14206).

6 0
3 years ago
Essential: Solve the proportions<br> step by step ​
vazorg [7]

Answer:

The value of r=\frac{-106}{47}

The value of x=\frac{83}{32}

Step-by-step explanation:

Given that,

A) \frac{2r-2}{7r+10} = \frac{9}{8}

Now,

\frac{2r-2}{7r+10} = \frac{9}{8}

8(2r-2)=9(7r+10)

16r-16=63r+90

-16-90=63r-16r

-(16+90)=47r

-106=47r

r=\frac{-106}{47}

B) \frac{x+4}{9} = \frac{3(x-2)-1}{5}

Now,

\frac{x+4}{9} = \frac{3(x-2)-1}{5}

5(x+5)=9[3(x-2)-1]

5x+25=9[3x-6-1]

5x+25=9[3x-7]

5x+25=27x-63

25+63=27x+5x

83=32x

x=\frac{83}{32}

6 0
3 years ago
I need to go 1,373 miles but the plane travels at 575 miles per hour. how long would it take me to get to my destination?
-BARSIC- [3]

Answer:2.38782608695652173913043478260869565217

Step-by-step explanation:

you divide 1373 by 575

4 0
3 years ago
Why do some absolute value equations have no solution?
DerKrebs [107]
Because both positive and negative values have<span> a positive </span>absolute value.
6 0
3 years ago
Read 2 more answers
Use the distance formula to find distance between two points. Need help on this ASAP.
astra-53 [7]

Answer:

a) 20 units

b) 2 √10 units

c) 2 √17 units

Step-by-step explanation:

The distance formula is;

D = √(y2-y1)^2 + (x2-x1)^2

a) D = √(-7-9)^2 + (-7-5)^2

D = √256 + 144

D = √400

D = 20

b) D = √(10-8)^2 + (9-2)^2

D = √(2)^2 + 6^2

D = √4 + 36)

D = √40

D = 2 √10 units

c) D = √(1 + 7)^2 + (-8+10)^2

D = √(64 + 4)

D = √68

D = 2 √17 units

3 0
3 years ago
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