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LiRa [457]
1 year ago
12

A fair coin is tossed 5 times in a row. The exact probability of the coin landing heads exactly 2 times is?

Mathematics
2 answers:
makkiz [27]1 year ago
8 0
We can do this using the binomial probability distribution:

5C2 * (1/2)^2 * (1/2)^3 = 10 * 1/32

= 5/16
SpyIntel [72]1 year ago
8 0
The coin has to sides, so there are 2 possible choices given each of the 5 times. 2(5)=10. then, you divide 2 by that number (2/10), which is equal to 1/5
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Type the correct answer in the box. Jason builds doghouses for a pet store. Each doghouse is a wooden structure with a rectangul
Basile [38]

Answer:

Width = 3 feet

Length = 7 feet

Step-by-step explanation:

x represents the width of doghouse so,

Width = x

Length is 4 times more than its width

Length = x+4

Area of doghouse = 21 square feet

We know

Area of rectangle = Length * Width

21 = (x+4)*x

21 = x^2+4x

=> x^2+4x-21=0

Solving the above quadratic equation by factorization to find the value of x

x^2+7x-3x-21=0

x(x+7)-3(x+7)=0

(x+7)(x-3)=0

x+7 =0 and x-3=0

x= -7 and x =3

Since the width of rectangle can never be negative so, x=3

Width =x = 3 feet

Length = x+4 = 3+4 = 7 feet

8 0
1 year ago
Read 2 more answers
Prepare the Sales Budget assuming: 1. Expected sales volume: 8,000 units for the first quarter, an increase of 20% is expected f
solong [7]

Answer:

Sales budget $     for the 4 quarters is  $ 600,000    $ 720,000            $594000 and $ 825,000  

Production Budget in units for the four quarters i s     7997.6            9000             8900  and  10,350 units

Step-by-step explanation:

Sales Budget

Quarters               I                    II                    III                    IV

Sales Volume    8000           9600                7200            10,000

<u>Sales Price       $75.00        $75.00           $ 82.50            $82.50 </u>

<u>Sales $              600,000     720,000            594000         825,000  </u>

We calculate the sales volume by applying the given percent to the sales units for each quarter. Then multiply it with the sales price to get the sales budget.

<u />

Production Budget

Quarters               I                    II                    III                    IV

Sales Volume    8000           9600                7200            10,000

+ Desired

Ending Inv.      2400            1800                3500               3850

<u>Less Opening   -----              2400               1800               3500           </u>

<u>Production      7997.6            9000             8900                10,350          </u>

We find the production budget units by adding the desired  ending inventory and subtracting the opening inventory from the sales units calculated above. The ending inventory of one quarter is the opening inventory of the next quarter.As we do not know the ending inventory of the previous year we cannot find the opening inventory of the 1st quarter of the year .

5 0
1 year ago
Kent has two similar cylindrical pipes, Pipe A and Pipe B. The radius of Pipe A is 6 cm, and the radius of Pipe B is 2 cm. What
ss7ja [257]
I beilieve its 3:1. I am not completely sure though

6 0
1 year ago
Read 2 more answers
Which table shows exponential decay? A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The sec
zvonat [6]

Answer:

The first table; <em>the first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 16, 8, 4, 2.</em>

Step-by-step explanation:

Exponential decay means that the graph or table is exponentially decreasing. Meaning, if you went from point 4 to 1, you would see an exponential increase. Other tables show other forms of functions, such as quadratic, or linear. To find out which rate it is decaying by, ask yourself, at 0, what is the y output? You can then divide the output of 0 by 1, and so on. If it is decaying at a consistent rate, then you know it is exponential. If you do not need to divide, but know it is decaying at a rate of two, it is linear. If it does not divide the first time smoothly, it is quadratic. It could also be a number of things.

I hope this helps you. We studied this quite a while ago, and I do not remember the equation at the tip of my tongue, and I do not want to give you wrong information. Have a great rest of your day!

4 0
2 years ago
Read 2 more answers
Which of the following describes point H? (-3, 3) (3, 3) (-3, -3) (3, -3)
Dominik [7]
H (3,-3)

hope it helps
3 0
2 years ago
Read 2 more answers
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