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natta225 [31]
2 years ago
14

If you toss four fair coins, in how many ways can you obtain at least one head? Group of answer choicesA. 1/16B. 1/2C. 3/16D. 11

/16E. 3/8
Mathematics
1 answer:
LenKa [72]2 years ago
3 0

Answer:

The correct answer is:

15/16

Step-by-step explanation:

In a toss of four fair coin, there are possibility of 16 occurrence because a coin have an head and a tail (2).

In 4 coins, we will have : 2⁴ = 16

Let S be the sample space, then:

S = { HHHH, HHHT, HHTT, HTTT, TTTH, TTHH, TTTH, TTTT, HTHT, THTH, HHTH, HTHH, TTHT,THHT, HTTH, THTT}

Let E₁ be the event that at least one head appears:

n(E₁) = 15

∴ Pr (E₁) = n(E₁)/ n(S)

             = 15/16

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6
wel

Answer: a

Step-by-step explanation:

multiply each answer by 10

8 0
3 years ago
A detergent company periodically tests its products for variations in the fill weight. To do this, the company uses x-bar and R
maw [93]

Answer:

10.9361

Step-by-step explanation:

The lower control limit for xbar chart is

xdoublebar-A2(Rbar)

We are given that A2=0.308.

xdoublebar=sumxbar/k

Rbar=sumR/k

xbar      R

5.8        0.42

6.1         0.38

16.02    0.08

15.95    0.15

16.12     0.42

6.18      0.23

5.87     0.36

16.2      0.4

Xdoublebar=(5.8+6.1+16.02+15.95+16.12+6.18+5.87+16.2)/8

Xdoublebar=88.24/8

Xdoublebar=11.03

Rbar=(0.42+0.38+0.08+0.15+0.42+0.23+0.36+0.4)/8

Rbar=2.44/8

Rbar=0.305

The lower control limit for the x-bar chart is

LCL=xdoublebar-A2(Rbar)

LCL=11.03-0.308*0.305

LCL=11.03-0.0939

LCL=10.9361

8 0
3 years ago
Kobe reported that the local waterslides have 30 employees of which 90 percent are temporary. How many temporary employees are t
Dmitriy789 [7]

Answer:

27 temporary employees

Step-by-step explanation:

Given information: 30 employees, 90% temporary

To find the number of temporary employees we can do:  30*90%=30*0.9=27

There are 27 temporary employees

7 0
2 years ago
Fruit is being handed out at a picnic. The basket contains 5 bananas, 3 oranges and 2 apples. If two pieces of fruit are handed
stepan [7]
Because there are 9 fruits, it should be n/9, depending on the fruit.
Apples are 2/9, so:
The combination for apples would have a probability of 2/9<span />
7 0
3 years ago
Match the properties with the steps to solving the following equation.<br> (8.x – 6) = x + 9
lesantik [10]

Answer:

8x - 6 = x + 9 : Given

7x - 6 = 9 :Subtraction property of equality

7x = 15 : Addition property of equality

x = 15/7 : Division property of equality

x = 2.143

Step-by-step explanation:

Match the properties with the steps to solving the following equation.

(8x - 6) = x + 9

8x - 6 = x + 9 : Given

8x - x - 6 = x + 9 - x

7x - 6 = 9 :Subtraction property of equality

7x - 6 + 6 = 9 + 6

7x = 15 : Addition property of equality

7x/ 7 = 15/7

x = 15/7 : Division property of equality

x = 2.143

4 0
3 years ago
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