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scZoUnD [109]
3 years ago
14

A biologist has determined that a particular osprey has a 70% chance of catching a fish on any given day. Carry out a simulation

of twenty trials using the random number table below to find the probability that the osprey will actually catch a fish on all of the next three days.
945 025 354 793 236

106 746 981 105 012

832 180 250 871 835

793 726 864 496 947
Mathematics
2 answers:
kondaur [170]3 years ago
8 0

Using the digits 0–6 to represent a caught fish, the probability of catching a fish on each of the next three days is 35%.

Brums [2.3K]3 years ago
6 0
A random variable is used like this:
You close your eyes and point anywhere on the table to choose a number. Since the given random number table is made up of 3 digits, you only get the first two digits. We are also given a 70% of catching a fish, that means that the number you choose should not have a first two digit number greater than 70. If that happens, you go down to the next value. If you reach the bottom, you go up to the next column. This is done 3 times and multiplying the three numbers to get the chance for 1 trials. This is repeated 20 times and the average is obtained.
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Regroup. Write the missing numbers. 40 tens = ___ hundreds
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Answer:

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8 0
2 years ago
What are the side lengths of the rectangle area 40 perimeter 26
shusha [124]
Recall the formula for finding the area of a rectangle:

           Area = Length × Width

Recall the formula for finding the perimeter of a rectangle:

         Perimeter = 2 ( Length + Width )

Given in your problem:
        Area = 40 sq. units
        Perimeter = 26 units

Required to solve for:
        Length (L) and width (W)

• First, substitute the given to the formula:

        Area = Length x Width
          40 = L × W      ⇒   equation number 1

       Perimeter = 2 ( Length + Width )
            26 = 2 ( L + W )     ⇒   equation number 2


• Simplifying equation number 2,
           13 = L + W

 • Rearranging the equation, 

         L = 13 - W   ⇒   equation 3

Substituting equation 3 from equation 1:

      ( equation 1 )               40 = (L)(W)
      ( equation 3 )                L = 13 - W
                                      40 = (13 - W) (W)
                                      40 = 13W - W² 
      ( regrouping )          W² - 13W + 40 = 0
      ( factoring )             (W - 8) (W - 5) = 0
                                     W - 8 = 0    ;     W - 5 = 0
                                        W = 8      ;        W = 5
   
Therefore, there are 2 possible values for the width of the rectangle. It can be 8 units or 5 units.

• Now to solve for the length of the rectangle, substitute the two values of width to equation 3.

      (equation 3)        L = 13 - W
                       for W = 8    ⇒   L = 13 - 8
                                                   L = 5 units
                   
                       for W = 5    ⇒  L = 13 - 5
                                                   L = 8 units

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2 years ago
A donut has a circumference of 18.84 cm. what is the donut's radius?
pantera1 [17]
The radius of the donut is 3.14
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3 years ago
Read 2 more answers
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