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3 years ago

A company has 200 machines. Each machine has 12% probability of not working.

Mathematics

1 answer:

Eduardwww [97]3 years ago

4 0

1) This probability is given by

... C(40,5)·0.12⁵·0.88³⁵ ≈ 0.18665 . . . . . where C(n, k) = n!/(k!(n-k)!)

2) This probability is given by

... 0.88⁴⁰ ≈ 0.00602

3) This is the complement of the probability that all have failed.

... 1 - 0.12⁴⁰ ≈ 1.0000

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Complete the inequality statement with the symbol that makes it true. 28.005_28.05

Veronika [31]

Answer:

Step-by-step explanation:

5/1000 is a smaller value than 5/100

3 0

3 years ago

Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ?

Alja [10]

Using the factor theorem, it is found that the polynomial is:

$f(x) = x^3 - 2x^2 - 3x + 6$

Given by the first option

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Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ using the factor theorem it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.

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

In this question:

$x_1 = 2$
$x_2 = \sqrt{3}$
$x_3 = -\sqrt{3}$
By the options, leading coefficient $a = 1$

Thus:

$f(x) = (x - 2)(x - \sqrt{3})(x + \sqrt{3})$

$f(x) = (x - 2)(x^2 - 3)$

$f(x) = x^3 -2x^2 - 3x + 6$

Which is the polynomial.

A similar problem is given that: brainly.com/question/4786502

5 0

2 years ago

Please help me solve this HCF

Rina8888 [55]

Answer:

(x+y)

Step-by-step explanation:

${x}^{2} - {y}^{2} = (x + y)(x - y)$

Thus, the HCF is (x+y).

5 0

2 years ago

Read 2 more answers

A national grocery store chain wants to test the difference in the average weight of turkeys sold in Detroit and the average wei

Arte-miy333 [17]

Answer:

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

The null hypothesis is accepted .

Assume the population variances are approximately the same

Step-by-step explanation:

Explanation:-

Given data a random sample of 20 turkeys sold at the chain's stores in Detroit yielded a sample mean of 17.53 pounds, with a sample standard deviation of 3.2 pounds

The first sample size 'n₁'= 20

mean of the first sample 'x₁⁻'= 17.53 pounds

standard deviation of first sample S₁ = 3.2 pounds

Given data a random sample of 24 turkeys sold at the chain's stores in Charlotte yielded a sample mean of 14.89 pounds, with a sample standard deviation of 2.7 pounds

The second sample size n₂ = 24

mean of the second sample "x₂⁻"= 14.89 pounds

standard deviation of second sample S₂ = 2.7 pounds

Null hypothesis:-H₀: The Population Variance are approximately same

Alternatively hypothesis: H₁:The Population Variance are approximately same

Level of significance ∝ =0.05

Degrees of freedom ν = n₁ +n₂ -2 =20+24-2 = 42

Test statistic :-

$t = \frac{x^{-} _{1} - x_{2} }{\sqrt{S^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} } }$