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xenn [34]
2 years ago
7

If a point in the figure below is chosen at random, what is the probability that it is in the shaded region?​

Mathematics
1 answer:
Xelga [282]2 years ago
3 0

Answer:

254/324 which is about 78.4%

Step-by-step explanation:

found area of entire square to be 18² or 324

found area of 4-quarter circles - which equals one circle with radius of 9

A = 81π which is about 70

subtracted 324 and 70 to get 254

ratio of shaded to unshaded is 254 : 324

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An education firm measures the high school dropout rate as the percentage of 16 to 24 year olds who are not enrolled in school a
posledela

Answer:

The value of the test statistic z = -0.6606

Step-by-step explanation:

From the question we are told that

      The high dropout rate is \mu  = 6.1%  = 0.061

      The  sample size is  n = 1000

       The  number of dropouts x = 56

       The probability of having a dropout in 1000 people  \= x  = \frac{56}{1000}  =  0.056

Now setting up Test Hypothesis

 Null  H_o :  p = 0.061

 Alternative  H_a : p < 0.061        

The Test statistics is mathematically represented as

                 z = \frac{\= x - p}{\sqrt{\frac{p(1 -p)}{n} } }

substituting values

               z = \frac{0.056 - 0.061}{\sqrt{\frac{0.061(1 -0.061)}{1000} } }

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madreJ [45]

Answer:

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Step-by-step explanation:

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In the diagram below, if &lt; A = 97 °, &lt; B = 46 °, &lt; D = 97 ° and &lt; F = 37 °, we can say that
sdas [7]

Answer:

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Step-by-step explanation:

Similar triangles have congruent corresponding angles and proportional corresponding side lengths.

<h3>Third angle</h3>

The third angle in triangle ABC is found using the fact that the sum of angles is 180°.

  ∠C = 180° -∠A -∠B

  ∠C = 180° -97° -46° = 37°

Two of the angles, A and C, match the measures of two of the angles in triangle DEF. The matches are ...

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  ∠C = ∠F = 37°

The two triangles are similar by AA.

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<em>Additional comment</em>

The similarity statement can be ΔABC ~ ΔDEF.

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The height of plant y =x+25

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Mashcka [7]

Answer:

89\

Step-by-step explanation:

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