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garri49 [273]
3 years ago
9

What’s the value of q ?

Mathematics
2 answers:
Fantom [35]3 years ago
8 0

Answer:

70

Step-by-step explanation:

They form a straight line  so the y sum to 180

52+58+q = 180

Combine like terms

110+q = 180

Subtract 110 from each side

q = 180-180

q = 70

ICE Princess25 [194]3 years ago
8 0

Its a straight line

so

52 + 58 + q = 180

q = 180 - 110

q = 70

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A randomly selected sample of college basketball players has the following heights in inches. See Attached Excel for Data. Compu
Illusion [34]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The  confidence interval is  64.86

Step-by-step explanation:

From the question we are given the following data

   The following heights are

66, 65, 67, 62, 62, 65, 61, 70, 66, 66, 71, 63, 69, 65, 71, 66, 66, 69, 68, 62, 65, 67, 65, 71, 65, 70, 62, 62, 63, 64, 67, 67      

 The  sample size is n  =32

  The confidence level is k  = 95% = 0.95

The mean is evaluated as

          \= x = 66+ 65+ 67+ 62+ 62+ 65+ 61+ 70+ 66+ 66+ 71+63+ 69+ 65+ 71+ 66+ 66+ 69+ 68+ 62+ 65+ 67,+\\65+ 71+ 65+ 70+ 62+ 62+ 63+ 64+ 67+ 67 / 32

=>   \= x = \frac{2108}{32}

=>     \= x = 65.875

The standard deviation is evaluated as

           \sigma =  \sqrt{ v}

Now  

   v = ( 66-65.875 )^2+(65-65.875)^2+( 67-65.875)^2+ (62-65.875)^2+ (62-65.875)^2+ (65-65.875)^2+( 61-65.875)^2+ (70-65.875)^2+ (66-65.875)^2+ (66-65.875)^2+ (71+63-65.875)^2+ (69-65.875)^2+ (65-65.875)^2+ (71-65.875)^2+( 66-65.875)^2+ (66-65.875)^2+ (69-65.875)^2+ (68-65.875)^2+ (62-65.875)^2+ (65-65.875)^2+ (67-65.875)^2,+\\(65-65.875)^2+ (71-65.875)^2+ (65-65.875)^2+ (70-65.875)^2+( 62-65.875)^2+( 62-65.875)^2+ (63-65.875)^2+ (64-65.875)^2+ (67-65.875)^2+ (67-65.875)^2 / 32

=>v=  8.567329

=>   \sigma  =  \sqrt{8.567329}

=>   \sigma  =  2.927

The level of significance is evaluated as

        \alpha  =  1 - 0.95

        \alpha  =  0.05

The degree of freedom is  evaluated as

    Df =  n- 1 \equiv  Df  =  32 -1 = 31

The critical values for the level of significance is obtained from the z -table as

      t_c = t_{\alpha/2 } , Df =  t _{0.05/2}, 31 =\pm 1.96

The confidence interval is evaluated as

       \mu  = \= x \pm t_c *  \frac{\sigma }{\sqrt{n} }

substituting values

        \mu =65.875 \pm 1.96* \frac{2.927}{\sqrt{32} }

       \mu =65.875 \pm 1.01415

=>    64.86

4 0
3 years ago
А(-9, -5), b(6, 5), C(-2, 5)
Rainbow [258]

Answer:

See below

Step-by-step explanation:

Equation: y = -\frac{2x^2}{21} + \frac{8x}{21} + \frac{43}{7}

Slope-intercept form: y = \frac{2}{3} x + 1

Point slope form: y + 5 = \frac{10}{7} * (x+9)

8 0
2 years ago
Which is a better estimate for the length of an almond?<br><br> a. 3 meters b. 3 centimeters
allsm [11]

Answer:

3 centimeters

Step-by-step explanation:

nope

6 0
3 years ago
Read 2 more answers
HELP!!!!!!!! This is urgent!!! Will mark brainiest! 73-75! *ignore all work/questions/handwriting above****
Alexxx [7]
73 - 75 = 2 LOL hope it helps you
5 0
4 years ago
You are riding your bicycle and it takes you 15 minutes to go 3.5 miles. How fast are you
Semmy [17]

Answer:

14 miles per 1 hour (14m/1hr), I hope this helps :)

7 0
3 years ago
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