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kiruha [24]
3 years ago
7

Does this table represent a function? Why or why not?

Mathematics
2 answers:
Lostsunrise [7]3 years ago
6 0
No because the x value of 8 has two different corresponding y values, 5 and 8, which is not allowed in a function.

Final answer: B
djverab [1.8K]3 years ago
4 0
B. They do not because the x-axis simply can not have the same number
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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
Simplify the following expression
sergij07 [2.7K]

    It is simplified to -1/15

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3 years ago
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First one to answer, i will mark brainlist
7nadin3 [17]

Answer:

Sides in descending order:  YZ > ZX > XY

Step-by-step explanation:

Sum of all angles of triangle = 180

    104 +52 +  ∠Z = 180

            156 + ∠Z = 180

                      ∠Z = 180 - 156

                      Z = 24

The sides opposite to the biggest is the longest side.

Angles in descending order: ∠X  >  ∠Y >  ∠Z

<h3>Sides in descending order:  YZ > ZX > XY</h3>
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2 years ago
What is the slope of the line that passes through the points (1, 7) and (–4, –8)?
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\spadesuit\; Slope(m) = \frac{y_1 - y_2}{x_1 - x_2}

Given Points are (1 , 7) and (-4 , -8)

here x₁ = 1 and x₂ = -4 and y₁ = 7 and y₂ = -8

\spadesuit\; Slope(m) = \frac{7 + 8}{1 + 4} = \frac{15}{5} = 3

3 is answer

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3 years ago
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