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3 years ago

The sum of 3 times a number and -2, added to 5 times the number

Mathematics

1 answer:

givi [52]3 years ago

3 0

Answer:

3x + (5x -2)

Step-by-step explanation:

X is any number so 3 times a number is 3x. -2 plus 5 times a number is the same as 5 times a number minus 2. And the sum would be 3x + (5x - 2)

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An individual needs a daily supplement of at least 464 units of vitamin C and 252 of vitamin E and agrees to obtain this supplem

hichkok12 [17]

Answer:

z (min) = 705

x₁ = 10

x₂ = 9

Step-by-step explanation:

Let´s call x₁ quantity of food I ( in ou ) and x₂ quantity of food II ( in ou)

units of vit. C units of vit.E Cholesterol by ou

x₁ 32 9 48

x₂ 16 18 25

Objective function z

z = 48*x₁ + 25*x₂ To minimize

Subject to:

1.-Total units of vit. C at least 464

32*x₁ + 16*x₂ ≥ 464

2.- Total units of vit. E at least 252

9*x₁ + 18*x₂ ≥ 252

3.- Quantity of ou per day

x₁ + x₂ ≤ 35

General constraints x₁ ≥ 0 x₂ ≥ 0

Using the on-line simplex method solver (AtoZmaths) and after three iterations the solution is:

z (min) = 705

x₁ = 10

x₂ = 9

5 0

3 years ago

A statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20. Use thi

rjkz [21]

Answer:

\mu = 14.5\\

\sigma = 5.071\\

k = 1.084

Step-by-step explanation:

given that a statistician uses Chebyshev's Theorem to estimate that at least 15 % of a population lies between the values 9 and 20.

i.e. his findings with respect to probability are

$P(9$

Recall Chebyshev's inequality that

$P(|X-\mu |\geq k\sigma )\leq {\frac {1}{k^{2}}}\\P(|X-\mu |\leq k\sigma )\geq 1-{\frac {1}{k^{2}}}\\$

Comparing with the Ii equation which is appropriate here we find that

$\mu =14.5$

Next what we find is

$k\sigma = 5.5\\1-\frac{1}{k^2} =0.15\\\frac{1}{k^2}=0.85\\k=1.084\\1.084 (\sigma) = 5.5\\\sigma = 5.071$

Thus from the given information we find that

$\mu = 14.5\\\sigma = 5.071\\k = 1.084$

5 0

3 years ago

PLeaseeeeee HELPPPPPPP PLEASEEEE IM BEGGING SOMONE PLEASEEEEE HELPPPPPPPPPPPP PLEASEEEEEE

bulgar [2K]

Answer:145

Step-by-step explanation:x-5+3x+25=180

4x+20=180 4x=160 x=40. <k=120+25=145

4 0

3 years ago

A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 210 feet (ft). If the wheel

frutty [35]

Answer:

The change in the height of the seat of the Ferris wheel is a reduction in height of approximately 74.25 feet

Step-by-step explanation:

The given information are;

The position of the seat on the Ferris wheel = The center level of the wheel

The diameter of the Ferris wheel = 210 feet

The angle of rotation of the wheel = 45° counterclockwise

The height of a point on the Ferris wheel is given by the relation;

h = A·cos(b·x + c) + d

With regards to the question, we have;

h = The height of the seat of the Ferris wheel

A = The amplitude = 1/2 × The diameter of the wheel = 210/2 = 105 feet

360/b = The period

c = The phase shift = 90°

d = The mid line = 0

For a rotation of 45° counterclockwise or-45° clockwise, we have;

b·x = 45°, therefore;

h = 105 × cos(45° + 90°) + 0 = 105 × cos(135°) + 0

h = 105 × cos(135°) ≈ -74.25 feet

Therefore, the height of the seat of the Ferris wheel reduces by 74.246 feet.

6 0

3 years ago

Find the value of x that will make A||B A- 2x + 50 5x - 80 B- x = [?]

LenKa [72]

Answer:

Step-by-step explanation:

If A||B then the sum of given angles must be equal to 180°

2x + 5 + 5x - 80 = 180 add like terms

7x - 75 = 180 subtract 75 from both sides

7x = 105 divide both sides by 7

x = 15

8 0

3 years ago

Read 2 more answers