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Luba_88 [7]
3 years ago
12

Help me out , plzzzzz!!

Mathematics
1 answer:
natta225 [31]3 years ago
3 0

Answer:

a. 5,040 ways

b. 210 ways

Step-by-step explanation:

a) We want to pick 4 numbers out of 10 given that orders matter

If orders do matter, it will be a permutation problem

Mathematically;

n P r = n!/(n-r)!

In this case, n is 10 and r is 4

Thus, we have it that;

10 P 4 = 10!/(10-4)! = 5,040

b) if orders do not matter

It will be a combination problem

n C r = n!/(n-r)!r!

n = 10 and r = 4

10 C 4 = 10! /(10-4)!4!

= 210

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Please help me right away with both problems.
nevsk [136]

3) aₓ = 3x + 2

Plug in numbers for x (for example, 1,2,3,4).

a₁ = 3(1) + 2; a₁ = 3 + 2; a₁ = 5

a₂ = 3(2) + 2; a₂ = 6 + 2; a₂ = 8

a₃ = 3(3) + 2; a₃ = 9 + 2; a₃ = 11

a₄ = 3(4) + 2; a₄ = 12 + 2; a₄ = 14

5, 8, 11, 14, or (C) is your answer

-----------------------------------------------------------------------------------------------------------------

4) 23, 17, 11, 5

Plug in the following numbers to the equations until they match.

C) tₐ = 29 - 6n


when n = 1:

tₐ = 29 - 6(1) ; tₐ = 29 - 6 ; tₐ = 23

tₐ = 29 - 6(2) ; tₐ = 29 - 12 ; tₐ = 17

etc.

-----------------------------------------------------------------------------------------------------------------

hope this helps

8 0
4 years ago
Read 2 more answers
Write the function below in slope intercepts form. Show all the steps
Bezzdna [24]

we need to find the equation in the form y=mx+b, so:

4x+y=5

y=-4x+5

the "4x" go subtracting to the other side

and we have m=-4 and b=5

so the answer is: y=-4x+5

8 0
1 year ago
Find the slope of the line that passes through the points<br> (-5,-6) and (5,10)
muminat

Answer:

8/5

Step-by-step explanation:

To find the slope given two points

m = (y2-y1)/(x2-x1)

    = (10- -6)/(5 - -5)

    = (10+6)(5+5)

   = 16/10

   = 8/5

8 0
3 years ago
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Find the measure if angle R, goven that the largest triangle is a right triangle
disa [49]

Answer:

  • 27°

Step-by-step explanation:

Since the largest triangle is right triangle, the vertical segment is the perpendicular bisector of right angle with vertex at the center of circle.

<u>Then we have</u>

  • m∠R + 18° = 90°/2
  • m∠R + 18° = 45°
  • m∠R = 45° - 18°
  • m∠R = 27°
8 0
2 years ago
A set of three scores consists of the values 3, 7, and 2.<br> Σ2X – 2 = <br> Σ(X – 1)² =
AfilCa [17]

Answer:

Step-by-step explanation:

Given the set of datas 3, 7 and 2, we are to evaluate the folowing;

Σ2X – 2 and Σ(X – 1)² =where X are the individual datas.

We will substitute each of the data as value of X and ten take the sum as shown;

For Σ2X – 2

Σ2X – 2 = [2(3)-2]+[2(7)-2]+[2(2)-2]

Σ2X – 2 = (6-2)+(14-2)+(4-2)

Σ2X – 2 = 4+12+2

Σ2X – 2 = 18

For Σ(X – 1)² where x values are also 3, 7 and 2 we will have;

Σ(X – 1)² = (3 – 1)²+(7 – 1)²+(2 – 1)²

Σ(X – 1)² = 2²+6²+1²

Σ(X – 1)² = 4+36+1

Σ(X – 1)² = 41

8 0
3 years ago
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