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LuckyWell [14K]
3 years ago
9

Suppose you flip 3 quarters, one at a time. What is the probability that you will

Mathematics
1 answer:
Semenov [28]3 years ago
7 0

Answer:

The probability of the combination {H, T and H} is 0.125.

Step-by-step explanation:

The sample space of flipping a quarter is:

S = {H and T}

The probability of both outcomes is same, i.e. P (H) = P (T) = 0.50.

It is provided that three quarters are flipped one at a time.

The outcomes of all the three quarters are independent of each other.

Compute the probability of the combination {H, T and H} as follows:

P(\text{H},\text{T and H}) = P(\text{H})\times P(\text{T})\times P(\text{H})

                        =0.50\times 0.50\times 0.50\\=0.125

Thus, the probability of the combination {H, T and H} is 0.125.

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Answer:

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Step-by-step explanation:

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3 years ago
The painting shown on the right has an area of 300 in^2. what is the value of x?
Nataly [62]

Answer: X = 10.20240940...

Step-by-step explanation:

x(2x + 9) = 2x^2 + 9x

2x^2 + 9x = 300

- 300 ON BOTH SIDES

2x^2 + 9x - 300 = 0

SOLVE USING THE QUADRATIC FORMULA

x = -b +/- all root (b)^2 - 4(a)(c) All over 2(a)

When all the values are plugged in:

When using "+" in the equation you should get:

x = 10.20240940…

When using "-" in the equation you should get:

x = −14.70240940…

Now.. you CANNOT have a negative length, so you cross of the negative value leaving you one value for x which is 10.20240940...

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4 0
2 years ago
The weekly salaries (in dollars) for
kompoz [17]

Answer:

a) Median stays the same

b) Mean is decreased by $9

Step-by-step explanation:

The median is the number or the average of the two numbers that is in the middle of a sorted distribution of numbers,

Here the median number will be the 5th number counting from left or right from the sorted list of numbers. Therefor is is 891.

When 1027 is changed to 946 it will fall between 938 and 1002. So updated sorted list of numbers will now look like,

679, 715, 799, 844, 891, 917, 938, 946, 1002

Here also median will be the 5th number which will be equal to 891.

Therefore, , median will not change.

Mean is the value we get by taking the total value of the salaries and divide it by the number of employees.

In the initial case,

Mean =\frac{679+715+799+844+891+917+938+1002+1027}{9} =868

When the salary is changed from $1027 to $946,

Mean=\frac{679+715+799+844+891+917+938+1002+946}{9} =859

Therefor we can see that Mean has decreased by $9.


8 0
3 years ago
9x^2 - 4y - a <br> evaluate the expression given<br> x = -2, y = 3, a = -4
Tema [17]

Answer:

-44

Step-by-step explanation:

3 0
3 years ago
You plant a spruce tree that grows 4 inches per year and a hemlock tree that grows _____ inches per year. The initial heights ar
UNO [17]

<em>Complete Question:</em>

<em>You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year. </em>

<em>The initial heights are shown. </em>

Write a system of linear equations that represents this situation.

Answer:

s(x) = 8 + 4x

h(x) = 14 + 6x

Step-by-step explanation:

Given

Spruce Tree (s):

Initial\ Height = 8

Growth = 4 (yearly)

Hemlock Tree (h):

Initial\ Height = 14

Growth = 6 (yearly)

Required

Represent as system of linear equations

Let the number of years be x.

In both cases, the equation can be formed using:

Equation = Initial\ Height + Growth * x

For Spruce Tree (s):

s(x) = 8 + 4 * x

s(x) = 8 + 4x

For Hemlock Tree (h):

h(x) = 14 + 6 * x

h(x) = 14 + 6x

<em>Hence, the equations are </em>s(x) = 8 + 4x<em> and </em>h(x) = 14 + 6x<em></em>

3 0
2 years ago
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