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Mademuasel [1]
3 years ago
6

Choose the best definitions of parameter and statistic. A statistic is a variable that describes a sample and a parameter is a v

ariable that describes a population. A parameter is an unknown characteristic of a group and a statistic is a known characteristic of a group. A statistic is a number that describes a population and a parameter is a number that describes a sample. A statistic is a number that describes a sample and a parameter is a number that describes a population. A parameter is a number that describes a population. A statistic is a number that is used to estimate a parameter.
Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0

Answer:

A statistic is a number that describes a sample and a parameter is a number that describes a population.

Step-by-step explanation:

The definition of "statistic" is:

A piece of data from a portion of a population.

The definition of "parameter" is:

A value that tells you something about a population.

Using these definitions, the correct answer to the question is that a statistic is a number that describes a sample and a parameter is a number that describes a population.

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Given f(x) = log(x+1), x >-1 and g(x) = x^2 + 2x, XER find (f•g)(1)​
worty [1.4K]

Answer:

Like terms, functions may be combined by addition, subtraction, multiplication or division.

Example 1. Given f ( x ) = 2x + 1 and g ( x ) = x2

+ 2x – 1 find ( f + g ) ( x ) and

( f + g ) ( 2 )

Solution

Step 1. Find ( f + g ) ( x )

Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;

( f + g ) ( x ) = ( 2x + 1 ) + (x2

+ 2x – 1 )

= 2x + 1 + x2

+ 2x – 1

= x

2

+ 4x

Step 2. Find ( f + g ) ( 2 )

To find the solution for ( f + g ) ( 2 ), evaluate the solution above for 2.

Since ( f + g ) ( x ) = x2

+ 4x then;

( f + g ) ( 2 ) = 22

+ 4(2)

= 4 + 8

= 12

Example 2. Given f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ).

Solution

Step 1. Find ( f – g ) ( x ).

( f – g ) ( x ) = f ( x ) – g ( x )

= ( 2x – 5 ) – ( 1 – x )

= 2x – 5 – 1 + x

= 3x – 6

Step 2. Find ( f – g ) ( 2 ).

( f – g ) ( x ) = 3x – 6

( f – g ) ( 2 ) = 3 (2) – 6

= 6 – 6

= 0

Example 3. Given f ( x ) = x2

+ 1 and g ( x ) = x – 4 , find ( f g ) ( x ) and ( f g ) ( 3 ).

Solution

Step 1. Solve for ( f g ) ( x ).

Since ( f g ) ( x ) = f ( x ) * g ( x ) , then

= (x2

+ 1 ) ( x – 4 )

= x

3

– 4 x2

+ x – 4 .

Step 2. Find ( f g ) ( 3 ).

Since ( f g ) ( x ) = x3

– 4 x2

+ x – 4, then

( f g ) ( 3 ) = (3)3

– 4 (3)2

+ (3) – 4

= 27 – 36 + 3 – 4

= -10

Example 4. Given f ( x ) = x + 1 and g ( x ) = x – 1 , find ( x ) and ( 3 ). f

g

⎛ ⎞ ⎜

⎝ ⎠

f

g

⎛ ⎞ ⎜

⎝ ⎠ ⎟ ⎟

Solution

Step 1. Solve for ( x ). f

g

⎛

⎜

⎝ ⎠

⎞

⎟

Since ( x ) = , then ( )

( )

f x

g x

f

g

⎛

⎜

⎝ ⎠

⎞

⎟

= ; x ≠ 1 1

1

x

x

+

−

Step 2 Find . ( ) 3 f

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

Since = , then 1

1

x

x

+

− ( ) f x

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

=

3 1

3 1

+

− ( ) 3 f

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

=

4

2

= 2

Step-by-step explanation:

did this Help?

3 0
2 years ago
The Magazine Mass Marketing Company has received 10 entries in its latest sweepstakes. They know that the probability of receivi
Serjik [45]

Answer:

P(X>4)= 0.624

Step-by-step explanation:

Given that

n = 10

p= 0.5 ,q= 1 - p = 0.5

Two fifth of 10 = 2/5 x 10 =4

It means that we have to find probability P(X>4).

P(X>4)= 1 -P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)

We know that

P(X=x)=(_{x}^{n})\ p^xq^{n-x}

P(X=0)=(_{0}^{10})\ 0.5^0\ 0.5^{10}=0.0009

P(X=1)=(_{1}^{10})\ 0.5^1\ 0.5^{9}=0.0097

P(X=2)=(_{2}^{10})\ 0.5^2\ 0.5^{8}=0.043

P(X=3)=(_{3}^{10})\ 0.5^3\ 0.5^{7}=0.117  

P(X=4)=(_{4}^{10})\ 0.5^3\ 0.5^{7}=0.205

P(X>4)= 1 -P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)

P(X>4)= 1 -0.0009 - 0.0097 - 0.043 - 0.117-0.205

P(X>4)= 0.624

8 0
3 years ago
Read 2 more answers
What is 6y-3X=-18 written in slope-intercept form?
Schach [20]

Answer: B

Step-by-step explanation:

6 0
3 years ago
Cuál es el resultado de |-15| x (-5)​
notka56 [123]

Answer:

\frac{15}{x^5}

Step-by-step explanation:

\left|-15\right|x^{-5}

Step 1: Apply exponent rule: \:a^{-b}=\frac{1}{a^b}

=\left|-15\right|\frac{1}{x^5}

Step 2: Multiply fractions: a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}

=\frac{1\cdot \left|-15\right|}{x^5}

Step 3: Simplify

=\frac{15}{x^5}

The result is =\frac{15}{x^5}

<u>Spanish/Espanól</u>

Respuesta:

\frac{15}{x^5}

Explicación paso a paso:

\left|-15\right|x^{-5}

Paso 1: aplique la regla del exponente: \:a^{-b}=\frac{1}{a^b}

=\left|-15\right|\frac{1}{x^5}

Paso 2: multiplica fracciones: a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}

=\frac{1\cdot \left|-15\right|}{x^5}

Paso 3: simplifica

=\frac{15}{x^5}

El resultado es =\frac{15}{x^5}

7 0
3 years ago
The triangle STU shown on the coordinate grid below is reflected once to map onto triangle S'T'U': Triangle STU drawn on a 4 qua
Andreyy89
Given that triangle <span>STU is reflected once to map onto triangle S'T'U'.
Given that triangle STU has vertices S(8, 6), T(2, 2), U(5, 1).

If vertex T' is at (2, −2), this means that triangle STU is refrected across the x-axis.

A refrection across the x-axis results in an image that has the same x-value as the pre-image but a y-value that has the opposite sign of the y-value of the pre image.

Thus, a point, say (x, y), refrected over the x-axis will result in an image with coordinate (x, -y)

Therefore, given that the coordinate of S is (8, 6), then the coordinates of vertex S'</span>  is (8, -6).
4 0
3 years ago
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