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Tresset [83]
3 years ago
12

5x+8=3x-6 plz help me asap

Mathematics
2 answers:
Ray Of Light [21]3 years ago
6 0

Answer:

x = -7

Step-by-step explanation:

5x+8=3x-6

Subtract 3x from each side

5x-3x+8=3x-3x-6

2x+8 = -6

Subtract 8 from each side

2x+8-8 = -6-8

2x = -14

Divide by 2

2x/2 = -14/2

x = -7

liberstina [14]3 years ago
6 0

Answer: x= -7

Step-by-step explanation:

5x+8=3x-6

\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}

5x+8-8=3x-6-8

5x=3x-14

\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}

5x-3x=3x-14-3x

2x=-14

\mathrm{Divide\:2\:\:on\:\:both\:sides\:}

-14/2=-7

x=-7

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Answer:

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3 2/5 - 1 4/6 is 1 11/15

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What is 2 plus 2 guys? It is reaaaalllyy hard. Idk how to answer it
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Read 2 more answers
2. The quality assurance department inspects its production line. The product either fails or passes the inspection. Past experi
Oksana_A [137]

Answer:

(a) E(X) = 950

(b) $ COV = 0.007255$

(c) P(X > 980) = 0.00001\\\\

Step-by-step explanation:

The given problem can be solved using binomial distribution since the product either fails or passes, the probability of failure or success is fixed and there are n repeated trials.

probability of failure = q = 0.05

probability of success = p = 1 - 0.05 = 0.95

number of trials = n = 1000

(a) What is the expected number of non-defective units?

The expected number of non-defective units is given by

E(X) = n \times p \\\\E(X) = 1000 \times 0.95 \\\\E(X) = 950

(b) what is the COV of the number of non-defective units?

The coefficient of variance is given by

$ COV = \frac{\sigma}{E(X)} $

Where the standard deviation is given by

\sigma = \sqrt{n \times p\times q} \\\\\sigma = \sqrt{1000 \times 0.95\times 0.05} \\\\\sigma = 6.892

So the coefficient of variance is

$ COV = \frac{6.892}{950} $

$ COV = 0.007255$

(c) What is the probability of having more than 980 non-defective units?

We can use the Normal distribution as an approximation to the Binomial distribution since n is quite large and so is p.

P(X > 980) = 1 - P(X < 980)\\\\P(X > 980) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\

We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution) to approximate discrete probability distribution (Binomial distribution).

P(X > 980)  = 1 - P(Z < \frac{979.5 - 950}{6.892} )\\\\P(X > 980)  = 1 - P(Z < \frac{29.5}{6.892} )\\\\P(X > 980)  = 1 - P(Z < 4.28)\\\\

The z-score corresponding to 4.28 is 0.99999

P(X > 980) = 1 - 0.99999\\\\P(X > 980) = 0.00001\\\\

So it means that it is very unlikely that there will be more than 980 non-defective units.

8 0
3 years ago
move point c so the measure of the inscribed angle abc is 50. what is the measures of arc ac​
zhuklara [117]

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Step-by-step explanation:

8 0
3 years ago
What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equati
Klio2033 [76]

Answer:

y = x +7

Step-by-step explanation:

Given

Point\ (x_1,y_1) = (4,11)

Perpendicular to y = -x + 14

Required

Determine the line equation

An equation has the form

y = mx + b

Where

m = slope

By comparison with y = -x + 14

m = -1

Because the line is perpendicular to y = -x + 14, the following relationship exists

m_1 = \frac{-1}{m} i.e. the condition for perpendicularity

Where m1 is the slope of the equation that passes through Point\ (x_1,y_1) = (4,11)

So, we have:

m_1 = \frac{-1}{-1}

m_1 = 1

The line equation is then calculated using:

y - y_1 = m_1(x - x_1)

Where

m_1 = 1

Point\ (x_1,y_1) = (4,11)

So, we have:

y - 11 = 1(x - 4)

y - 11 = x - 4

Add 11 to both sides

y - 11+11 = x - 4+11

y = x - 4+11

y = x +7

<em>The B, C and D parts of your question are not clear.</em>

<em>Apply the same steps used in (a) above and you'll get your answers</em>

7 0
3 years ago
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