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Elenna [48]
4 years ago
14

Determine whether the given value is a statistic or parameter a survey found at 97% of all respondents have jobs

Mathematics
1 answer:
kykrilka [37]4 years ago
4 0

Answer:

b) The value is a statistic because it is a numerical measurement describing some characteristic of a sample

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How many permutations of the 26 letters of the English alphabet do not contain any of the strings fish, rat, or bird
NARA [144]

The number of permutations of the 26 letters of the English alphabet that do not contain any of the strings fish, rat, or bird is 402619359782336797900800000

Let

\mathcal{E}=\{\text{All lowercase letters of the English Alphabet}\}\\\\B=\overline{\{b,i,r,d\}} \cup \{bird\}\\\\F=\overline{\{f,i,s,h\}} \cup \{fish\}\\\\R=\overline{\{r,a,t\}} \cup \{rat\}\\\\FR=\overline{\{f,i,s,h,r,a,t\}} \cup \{fish,rat\}

Then

Perm(\mathcal{E})=\{\text{All orderings of all the elements of } \mathcal{E}\}\\\\Perm(B)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing bird}\}\\\\Perm(F)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing fish}\}\\\\Perm(R)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing rat}\}\\\\Perm(FR)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing both fish and rat}\}\\

Note that since

F \cap R=\varnothing, Perm(F)\cap Perm(R)\ne \varnothing

But since

B \cap R \ne \varnothing, Perm(B)\cap Perm(R)= \varnothing

and

B \cap F \ne \varnothing , Perm(B)\cap Perm(F)= \varnothing

Since

|\mathcal{E} |=26 \text{, then, } |Perm(\mathcal{E})|=26! \\\\|B|=26-4+1=23 \text{, then, } |Perm(B)|=23!\\\\|F|=26-4+1=23 \text{, then, } |Perm(F)|=23!\\\\|R|=26-3+1=24 \text{, then, } |Perm(R)|=24!\\\\|FR|=26-7+2=21 \text{, then, } |Perm(FR)|=21!\\

where |Perm(X)|=\text{number of possible permutations of the elements of X taking all at once}

and

|Perm(F) \cup Perm(R)| = |Perm(F)| + |Perm(R)| - |Perm(FR)|\\= 23!+24!- 21! \text{ possibilities}

What we are looking for is the number of permutations of the 26 letters of the alphabet that do  not contain the strings fish, rat or bird, or

|Perm(\mathcal{E})|-|Perm(B)|-|Perm(F)\cup Perm(R)|\\= 26!-23!-(23!+24!- 21!)\\= 402619359782336797900800000 \text{ possibilities}

This link contains another solved problem on permutations:

brainly.com/question/7951365

6 0
3 years ago
Solving equation with shown steps plz and thank u &lt;3<br><br> -8 - x=-3(2x - 4) + 3x
VLD [36.1K]
Donuts because I really like them
8 0
3 years ago
Number 1 show work. the
Leya [2.2K]

Answer:

Step-by-step explanation:

cos(x) = sin(15°)

x = arccos(sin(15°)) = 75°

3 0
3 years ago
Write an equation in slope intercept form for a line perpendicular to the line
konstantin123 [22]

Answer:

y=(1/3)x- 4/3

Step-by-step explanation:

If two lines are perpendicular to each other, then the slopes will be the negative inverse to each other.

Example:

the negative inverse of 2 is -1/2

the slope of  y=-3x+2  is -3

the negative inverse of -3 is \dfrac{1}{3}

So we have the perpendicular line be :y=\dfrac{1}{3}x+b

Since it also go through (4,0)

plug in we get 0 = \dfrac{4}{3}+b

b=-\frac{4}{3}

So the equation would be

y=\frac{1}{3}x - \frac{4}{3}

5 0
3 years ago
Solve for the equation below<br><br> 4x^n + x^4n = ?
slavikrds [6]
4x + 6 = -10<span>Simplifying 4x + 6 = -10 Reorder the terms: 6 + 4x = -10 Solving 6 + 4x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -10 + -6 4x = -10 + -6 Combine like terms: -10 + -6 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4</span>
7 0
3 years ago
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