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3 years ago

13

How many ways can you arrange the letters in the word prime?

1 answer:

Jobisdone [24]3 years ago

7 0

There are 5 letters in the word "prime"

Imagine we had 5 slots to fill. They are empty initially.
Slot 1 has 5 choices to pick from
Once we pick a letter, we have 4 choices left over for slot 2
Slot 3 will have 3 choices
Slot 4 will have 2 choices
Slot 5 will have 1 choice

We have this countdown: 5,4,3,2,1

which multiplies out to 5*4*3*2*1 = 120

There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.

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Suppose that six individuals are interested in taking part in a study relating BMI to a number of health outcomes. The following

posledela

Answer:

a) Mean = 27.65

Median = 27.645

b) Relative Frequency = 33.33%

Step-by-step explanation:

We are given the following data set:

25.78, 21.06, 36.54, 29.51, 18.96, 34.05

a) Mean and Median

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{165.9}{6} = 27.65$

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data: 18.96, 21.06, 25.78, 29.51, 34.05, 36.54

$\text{Median} = \displaystyle\frac{25.78 +29.51}{2} = 27.645$

b) BMI above 30 is considered obese

Frequency of obese in the given sample = 2

Relative Frequency =

$\displaystyle\frac{\text{Frequency of obese}}{\text{Total number}} = \frac{2}{6} = 0.3333 = 33.33\%$

5 0

2 years ago

Which numbers is 50 divisible by 2 , 5 , 10 , 15

meriva

Answer:

2, 5, 10

Step-by-step explanation:

50 divided by 2 = 25

50 divided by 5 = 10

50 divided by 10 = 5

50 divided by 15 = NOT POSSIBLE

8 0

3 years ago

What is the difference between 5/6−5/12

Nutka1998 [239]

Answer:

$\frac{5}{12}$

Explanation:

$\frac{5}{6} - \frac{5}{12}$

[ make the denominator same ]

$\frac{10}{12} - \frac{5}{12}$

[ apply fraction rule ]

$\frac{10-5}{12}$

[ simplify ]

$\frac{5}{12}$

3 0

2 years ago

Read 2 more answers

Doubling the sum of 5 and a number is equal to the same number decreased by 2. what is the equation

SVEN [57.7K]

Answer:

2(x + 5) = x - 2

⟹ x = -12

Step-by-step explanation:

Doubling the sum of 5 and a number is equal to the same number decreased by 2. What is the equation?

This word problem can be written as:

⟹ 2(x + 5) = x - 2

1. Distribute:

2(x) + 2(5) = x - 2

⟹ 2x + 10 = x - 2

2. Subtract x from both sides:

2x - x + 10 = x - x - 2

⟹ x + 10 = -2

3. Subtract 10 from both sides:

x + 10 - 10 = -2 - 10

⟹ x = -12

4. Check your work:

2(x + 5) = x - 2

2(-12 + 5) = -12 - 2

2(-7) = -20

⟹ -14 = -14 ✔

Learn more here:

brainly.com/question/17821973

3 0

1 year ago

In square GEOM, the coordinates of G are (-3, 2) and the coordinates of O are (1, -2). Determine and state the coordinates of ve

Inessa [10]

Answer:

E is (1, 2) and M is (-3,-2),

Step-by-step explanation:

G and O are diagonally opposite points.

E is the image of O in the x axis and M is the image of G in the x axis.

E which is adjacent to M and will have y-coordinate of 2 and x -coordinate 1.

M will have x coordinate same as G which is -3 and y coordinate is -2.

4 0

1 year ago