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Nady [450]
4 years ago
8

Suma a trei numere este 948.Stind ca al doilea este de 3 ori mai mare decât primul și cu 31 mai mic decât al treilea, afla cele

trei numere.
Mathematics
1 answer:
Dmitry_Shevchenko [17]4 years ago
8 0
I can't understand this language I'm so sorry.
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g A sample of 3 items is chosen at random from a box containing 20 items, out of which 4 are defective. Let X be the number of d
professor190 [17]

Answer:

The variance and standard deviation of <em>X</em> are 0.48 and 0.693 respectively.

The variance and standard deviation of (20 - <em>X</em>) are 0.48 and 0.693 respectively.

Step-by-step explanation:

The variable <em>X</em> is defined as, <em>X</em> = number of defective items in the sample.

In a sample of 20 items there are 4 defective items.

The probability of selecting a defective item is:

P (X)=\frac{4}{20}=0.20

A random sample of <em>n</em> = 3 items are selected at random.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 3 and <em>p </em>= 0.20.

The variance of a Binomial distribution is:

V(X)=np(1-p)

Compute the variance of <em>X</em> as follows:

V(X)=np(1-p)=3\times0.20\times(1-0.20)=0.48

Compute the standard deviation (σ (X)) as follows:

\sigma (X)=\sqrt{V(X)}=\sqrt{0.48}=0.693

Thus, the variance and standard deviation of <em>X</em> are 0.48 and 0.693 respectively.

Now compute the variance of (20 - X) as follows:

V(20-X)=V(20)+V(X)-2Cov(20,X)=0+0.48-0=0.48

Compute the standard deviation of (20 - X) as follows:

\sigma (20-X)=\sqrt{V(20-X)} =\sqrt{0.48}0.693

Thus, the variance and standard deviation of (20 - <em>X</em>) are 0.48 and 0.693 respectively.

3 0
3 years ago
Write each expression with a single rational exponent. Show each step of your process. Which expressions are equivalent? Justify
Lena [83]

The expression of all the algebra as single rational exponent are; As written below.

<h3>How to Express Exponents?</h3>

1) We want to express ⁴√x³. This can be expressed as;

x^(3/4)

2) We want to express the exponent ¹/x⁻¹. This is expressed as a single rational exponent as; x

3) We want to have the given expression as a single rational exponent. The expression is; ¹⁰√(x⁵ · x⁴ · x²)

We add the exponents to get;

¹⁰√(x¹¹) = x^(¹¹/₁₀)

4) x^(¹/₃) * x^(¹/₃) * x^(¹/₃)

We just add the exponents to get;

x¹ = x

Read more about Exponents at; brainly.com/question/11761858

#SPJ1

3 0
2 years ago
If the conditional statement, “If today is Friday, then yesterday was Thursday” is true, which other statement must also be true
myrzilka [38]

Answer:

If today is not Thursday, then tomorrow is not Friday.

Step-by-step explanation:

I presume this is the answer off other peoples responses on the same question elsewhere.... next time include the whole question.

4 0
3 years ago
URGENT, please!!
lakkis [162]

The equation of the parabola is:

y = 24x^2

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

The <em>equation </em>of a parabola of vertex (h,k) and focus (0,f) is given by:

y = 4p(x - h)^2 + k^2

  • Vertex at the origin means that h = 0, k = 0.
  • Focus (0,6) means that p = 6

Thus, the equation of the parabola is:

y = 4p(x - h)^2 + k^2

y = 4(6)(x - 0)^2 + 0^2

y = 24x^2

A similar problem is given at brainly.com/question/15165354

7 0
3 years ago
sammy counted peanuts in several packages of roasted peanuts. He found that the bags had 102, 114, 97, 85, 106, 120, 107, and 11
zmey [24]
Probably a for plot, because It shows how close each value is, or if the values are all scattered around. it gives you a more accurate ways of seeing how close the data is. hope this helped
6 0
3 years ago
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