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scoray [572]
4 years ago
9

when selcting from a set of 10 distinct integersif sampling is done with replacement, how many samples of 5 are possible

Mathematics
1 answer:
yKpoI14uk [10]4 years ago
7 0

Answer:

10⁵ = 100,000

Step-by-step explanation:

Data provided in the question:

Number of available choices = 10

for the sample of 5 i.e n = 5

Repetition is allowed

Thus,

Total samples of 5 that are possible = ( Number of available choices )ⁿ

thus,

Total samples of 5 that are possible = 10⁵

Hence,

The Total samples of 5 that are possible = 100,000

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If the hypotenuse of a right triangle is 20 cm and one of the legs is 16 cm, how long is the other leg?
siniylev [52]
Because this is a triangle and we know that we can use the Pythagorean Theorem to find the hypotenuse we just plug in the numbers. But because you have the hypotenuse already you will subtract the leg from the hypotenuse.

A^2+B^2=C^
16^2+B^2=20^2
256+B^2=400 subtract 256 from both sides
B^2=144 now take the square root of both sides
B=12

The second leg is 12 cm long. Your answer is B, the second answer.
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3 years ago
Write an equation of the line whose slope is -2 and whose y-intercept is 1.
musickatia [10]
Y=-2x+1 ~~~~~~~~~~~~~~~~~

4 0
3 years ago
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What is the equation of y = x^3 with the given transformations? Vertical stretch by a factor of 3, horizontal shift 4 units to t
givi [52]

Answer:

y = 3(x - 4)^3 - 3

Step-by-step explanation:

A vertical stretch factor 3 is given by 3x^3.  Horizontal shift 4 to the right is given by 3(x - 4)^3. Finally we  add -3 to this function to move it 3 units down.

Answer is y = 3(x- 4)^3 - 3

4 0
4 years ago
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What is the solution to 8 + 9p = 9p - 7?
Norma-Jean [14]

Answer:

15=0 not a real number

Step-by-step explanation:

8+9p=9p-7  

+7          +7

15+9p=9p

-9p        -9p

15=0

4 0
4 years ago
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Please help, PLEASE will give brainlest answer
Korolek [52]

Answer:

SteAnswer:

y = 1/2x + 3/2

Step-by-step explanation:

Using the equation of the line

y - y_1 = m ( x - x_1)

First find the slope of the line

-2x + 4y = 8

It must be in this form

y = mx + C

4y = 8 + 2x

divide through by 4

4y/4 = 8 + 2x / 4

y = 8 + 2x/4

Let's separate

y = 8/4 + 2x/4

y = 2 + 1/2x

y = 1/2x + 2

Therefore, our slope or m is 1/2

Using the equation of the line

y - y_1 = m ( x - x_1)

With point (-5, -1)

x_1 = -5

y_1 = -1

y - (-1) = 1/2(x - (-5)

y + 1 = 1/2( x + 5)

Opening the brackets

y + 1 = x + 5 / 2

y = x + 5/2 - 1

Lcm is 2

y = x + 5 / 2 - 1/1

y = x + 5 -2/2

y = x +3/2

We can still separate it

y = x /2 + 3/2

y = 1/2x + 3/2

The equation of the line is

y = 1/2x + 3/2

The correct answer is A

brainliest?

8 0
3 years ago
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