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Marysya12 [62]
3 years ago
14

Which types of triangles can be formed by taking the cross-section of a cube?

Mathematics
1 answer:
s2008m [1.1K]3 years ago
3 0
An acute or isocolies
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Multiply the expression 2(x+1)(2x-5)
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This gives you the answer, look at it tells you how to solve this and get your answer

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The shadow of a vertical tower is 72.0-ft long when the angle of elevation of the
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2 years ago
Mark's coach told him that he should
Georgia [21]

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24 practices in 9 weeks

Step-by-step explanation:

Rate =   8 times / 3 weeks

8 times / 3 weeks    *   9 weeks  = 24 times

5 0
1 year ago
Write the standard equation of the circle with the given center and passes through the given point. Center (7,-2); Point= (1,-6)
vodomira [7]

Answer:

(x - 7)² + (y + 2)² = (2√13)²

Step-by-step explanation:

We already know that the center is at (7, -2), but must find the radius.  The radius is the distance between the points (7, -2) and (1, -6):

r = √ [6² + 4²] ) = √(36 + 16) = √52 = √4√13 = 2√13.

Then the desired equation is (x - 7)² + (y + 2)² = (2√13)²

6 0
2 years ago
The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of ten batterie
Fittoniya [83]

Answer:

The confidence interval is  25.16  < \mu < 26.85

Step-by-step explanation:

From  the question we are given a data set

     25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7.

The mean of the this sample data is  

       \= x  = \frac{\sum x_i}{n}

where is the sample size with values  n =  10

         \= x = \frac{25.5+ 26.1+ 26.8+23.2+ 24.2+ 28.4+ 25.0+ 27.8+ 27.3+ 25.7}{10}

          \= x = 26

The standard deviation is evaluated as

             \sigma  =  \sqrt{\frac{\sum (x-\= x)}{n} }

substituting values

     = \sqrt{\frac{ ( 25.5-26)^2, (26.1-26)^2, (26.8-26)^2, (23.2-26)^2}{10} }

                  \cdot \ \cdot \ \cdot  \sqrt{\frac{ ( 24.2-26)^2, (28.4-26)^2+( 25.0-26)^2+ (27.8-26)^2+( 27.3-26)^2+( 25.7-26)^2}{10} }

     \sigma  =  1.625

The  confidence level is given as 90% hence the level of significance is calculated as

    \alpha  =  100 -90

    \alpha  =10%

   \alpha = 0.10

Now the critical values of \frac{\alpha }{2} is obtained from the normal distribution table as

      Z_{\frac{\alpha }{2} } =  1.645

The reason  we are obtaining  the critical values of \frac{\alpha }{2} instead of  \alpha is because  we are considering two tails of the area under the normal curve

  The margin of error is evaluated as

            MOE =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

           MOE =  1.645 *  \frac{1.625 }{\sqrt{10} }

           MOE = 0.845

The  90%, two sided confidence interval is mathematically evaluated as

           \= x  - MOE  < \mu < \= x  + MOE

           26  - 0.845  < \mu < 26  + 0.845

           25.16  < \mu < 26.85

Given that the lower and the upper limit is greater than  25 then we can assure the manufactures  that the battery life exceeds 25 hours

5 0
3 years ago
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