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Roman55 [17]
4 years ago
10

Find each value.Use a calculator is needed P(9,2) .P(5,5). P(7,7)

Mathematics
1 answer:
Andrews [41]4 years ago
3 0
The answers are:
P(9, 2) = 72
P(5, 5) = 120
P(7, 7) = 5040

These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.

In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72

P(5, 5) = 5 x 4 x 3 x 2 x 1 
P(7, 7) =  7 x 6 x 5 x 4 x 3 x 2 x 1
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What is the solution to log 2 (2x^3 -8 )-2log 2 x=log 2x
Fantom [35]

Answer:

x=9

Step-by-step explanation:

8 0
3 years ago
Carly got her haircut for $45.60 she wants to tip her hair dresser 15% what is her total paid?
egoroff_w [7]

Answer:

$52.44

Step-by-step explanation:

Long method:

1. Convert the percentage into a decimal (15/100 = 0.15)

2. Multiply the decimal by the cost of the haircut (0.15 x $45.60 = $6.84)

3. Add this product by the cost of the haircut ($6.84 + $45.60 = $52.44)

Quicker Way (easier w/ a calculator)

1. Add 100% to the percentage she wants to add (100% + 15% = 115%) You can also express this as a number (115/100 = 1.15)

2. Multiply this new percentage by the cost of the haircut (1.15 x $45.60 = 52.44)

In a single equation, it would be

\frac{115}{100}  \times 45.60 = 52.44

5 0
3 years ago
36-9 divided [(0.24*5)+ (0.66*5)]
Ray Of Light [21]
[(0.24*5)+ (0.66*5)] == 4.50
0.24x5 = 1.20
0.66x5 = 3.30
+ ____
4.50

27.00÷4.5 = 0.166666667
4 0
3 years ago
The data represent the age of world leaders on their day of inauguration. Find the​ five-number summary, and construct a boxplot
Mumz [18]

Answer:

Minimum value = 43, Q_1=52, Q_2=Median=61, Q_3=67, Maximum value = 69.

Distribution is negative skewed.

Step-by-step explanation:

The given data set is

44, 43, 67, 68, 57, 65, 52, 62, 69, 54, 53, 61, 67, 48, 65​

Arrange the data in ascending order

43, 44, 48, 52, 53, 54, 57, 61, 62, 65, 65, 67, 67, 68, 69

Divide the data in 4 equal parts.

(43, 44, 48), 52, (53, 54, 57), 61, (62, 65, 65), 67, (67, 68, 69)

Minimum value = 43

Q_1=52

Q_2=Median=61

Q_3=67

Maximum value = 69

Starting and end point of box plot represent the minimum and maximum value respectively. Box starts from the first quartile to the third quartile. A vertical line goes through the box at the median.

The shape of the distribution.

Normally distributed: If Q_3-Q_2=Q_2-Q_1

Positive skew: If Q_3-Q_2>Q_2-Q_1

Negative skew: If Q_3-Q_2

For the given data set

Q_3-Q_2=67-61=6

Q_2-Q_1=61-52=9

Since Q_3-Q_2, therefore the given distribution is negative skewed.

5 0
4 years ago
Select the correct answer. Which is the simplified form of the expression ? A. B. C. D.
Gre4nikov [31]

Answer:

where is the question

Step-by-step explanation:

send question

7 0
3 years ago
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