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Tatiana [17]
3 years ago
12

Anthony observes that when people are leaving class, about 50% turn left and about 50% turn right. Anthony wants to estimate the

probability that fewer than 3 of the first 4 students will turn left when leaving class tomorrow. To do this, he lets H represent turning left when leaving class and T represent turning right. He then flips a coin 4 times, recording the results. He repeats this process for a total of 20 trials. HHTT THHT HTTT HTHH HHTT HTHT THTH TTHH HHHH HTTH HHHT TTHT THHH THTH HHTT HTTT HTTH HHTT HTHH HHTH Drag and drop the correct fraction to the box to estimate the probability, using this simulation. Estimated probability that fewer than 3 of the first 4 students leaving class tomorrow will turn left:
Mathematics
1 answer:
Viktor [21]3 years ago
6 0
The probability is 7/10.

There are 14 outcomes in this simulation with fewer than 3 left turns, out of 20 times the simulation was run:
14/20 = 7/10
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1/2 x + y = 8 and 2y = x + 14<br> pls show your work thx
Fudgin [204]

9514 1404 393

Answer:

  (x, y) = (1, 7.5)

Step-by-step explanation:

Solve the first equation for y, then substitute into the second equation.

  y = 8 -1/2x . . . . . subtract 1/2x

  2(8 -1/2x) = x +14

  16 -x = x + 14 . . .eliminate parentheses

  2 = 2x . . . . . . . add x-14

  1 = x . . . . . . . . divide by 2

  y = 8 -1/2(1) = 7 1/2

The solution is (x, y) = (1, 7 1/2).

__

<em>Alternate solution</em>

Type the equations into a graphing calculator and let it show you the solution.

3 0
3 years ago
37. Three married couples have purchased tickets for a play. Spouses are to be seated next to each other, and the six seats are
Maurinko [17]

48

1st seat 6 possible for each 6 only 1 possible(spouse) for seat 2

3rd seat 4 possible for each 4 only 1 possible(spouse) for seat 4

5th seat 2 possible for each 2 only 1 possible(spouse) for seat 6

6 x 4 x 2 = 48

OR 3 couples possible arrangements 3 x 2 x1 = 6

each couple 2 possible 2 x 2 x 2 = 8

therefore 6 x 8 = 48

8 0
2 years ago
Find the slope of the line represented in the graph
aev [14]

There is no photo attached.

7 0
3 years ago
An equal fraction with a given denominator
Darina [25.2K]
Is same as nominator.
5 0
4 years ago
How much money has to be invested at 5.9% interest compounded continuously to have $15,000 after 12 years?
scoray [572]

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.

Step-by-step explanation:

The given is,

                Future value, F  = $15,000

                           Interest, i = 5.9%

              ( compounded continuously )

                            Period, t = 12 years

Step:1

           Formula to calculate the present with compounded continuously,

                                       F=Pe^{(i)(t)}...............(1)

           Substitute the values in equation (1) to find the P value,

                                  15000=Pe^{(0.059)(12)}          ( ∵ i = \frac{5.9}{100}=0.059 )

                                  15000=Pe^{0.708}

                                  15000=P(2.0299)             ( ∵ e^{o.708} =2.0299 )

            We change the P (Present value) into the left side,

                                        P=\frac{15000}{2.0299}

                                            =7389.427

                                            ≅ 7389.43

                                         P = $ 7389.43

Result:

           The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.  

                       

8 0
3 years ago
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