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Zielflug [23.3K]
3 years ago
10

PLEASE HELP PLEASEEEEE I AM GIVING 30 POINTS IF YOU ARE RIGHT

Mathematics
2 answers:
steposvetlana [31]3 years ago
7 0

Answer:

option 3

Step-by-step explanation:

vovangra [49]3 years ago
5 0

Answer:

the third one

Step-by-step explanation:

HOPE THIS HELPS!!!!

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A survey on British Social Attitudes asked respondents if they had ever boycotted goods for ethical reasons (Statesman, January
Blababa [14]

Answer:

a) 27.89% probability that two have ever boycotted goods for ethical reasons

b) 41.81% probability that at least two respondents have boycotted goods for ethical reasons

c) 41.16% probability that between 3 and 6 have boycotted goods for ethical reasons

d) The expected number is 2.3 and the standard deviation is 1.33.

Step-by-step explanation:

We use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

23% of the respondents have boycotted goods for ethical reasons.

This means that p = 0.23

a) In a sample of six British citizens, what is the probability that two have ever boycotted goods for ethical reasons?

This is P(X = 2) when n = 6. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{6,2}.(0.23)^{2}.(0.77)^{4} = 0.2789

27.89% probability that two have ever boycotted goods for ethical reasons

b) In a sample of six British citizens, what is the probability that at least two respondents have boycotted goods for ethical reasons?

Either less than two have, or at least two. The sum of the probabilities of these events is decimal 1. So

P(X < 2) + P(X \geq 2) = 1

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1)

P(X = 0) = C_{6,0}.(0.23)^{0}.(0.77)^{6} = 0.2084

P(X = 1) = C_{6,1}.(0.23)^{1}.(0.77)^{5} = 0.3735

P(X < 2) = P(X = 0) + P(X = 1) = 0.2084 + 0.3735 = 0.5819

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.5819 = 0.4181

41.81% probability that at least two respondents have boycotted goods for ethical reasons

c) In a sample of ten British citizens, what is the probability that between 3 and 6 have boycotted goods for ethical reasons?

Now n = 10.

P(3 \leq X \leq 6) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

P(X = 3) = C_{10,3}.(0.23)^{3}.(0.77)^{7} = 0.2343

P(X = 4) = C_{10,4}.(0.23)^{4}.(0.77)^{6} = 0.1225

P(X = 5) = C_{10,5}.(0.23)^{5}.(0.77)^{5} = 0.0439

P(X = 6) = C_{10,6}.(0.23)^{6}.(0.77)^{4} = 0.0109

P(3 \leq X \leq 6) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.2343 + 0.1225 + 0.0439 + 0.0109 = 0.4116

41.16% probability that between 3 and 6 have boycotted goods for ethical reasons

d) In a sample of ten British citizens, what is the expected number of people that have boycotted goods for ethical reasons? Also find the standard deviation.

E(X) = np = 10*0.23 = 2.3

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10*0.23*0.77} = 1.33

The expected number is 2.3 and the standard deviation is 1.33.

5 0
3 years ago
If each muffin had the same amount of sugar, how many kilograms of sugar, to the nearest thousand are in each corn muffin ( 1,00
Tresset [83]

Answer:

Sorry bro I didn't understand

5 0
3 years ago
If 12^x^^2^+5x-4 =12^2x+6, what could be the value of x?
Anna71 [15]
Answer: x = 2, x = - 5

Explanation:

1) The given expression is not clear.

I will rewrite it using the math editor for better understanding

12^{x^2+5x-4}=12^{2x+6}

2) Since the bases are equal, the exponents are equal too.

=> x^2 + 5x - 4 = 2x + 6

Solve that quadratic equation step by step:

3) transpose 2x + 6 to the left side:

x^2 + 5x - 4 - 2x - 6 = 0

4) Combine like terms:

x^2 + 3x - 10 = 0

5) Factor:

(x + 5) (x - 2) = 0

6) Equal each factor to 0

x + 5 = 0 => x = - 5
x - 2 = 0 => x = 2

Those are the solutions x = - 5 and x = 2
8 0
3 years ago
Maggie buys a dress and a pair of shoes at The Home Store. Before adding the sales tax, she pays $48 for a dress that normally s
mezya [45]

Answer:

a) $26

b) 24.07%

c) $94.3

Step-by-step explanation:

Given that:

Before tax:

Normal price of dress = $62

Discounted price of dress = $48

Normal price of a pair of shoes = $46

Discounted price of a pair of shoes = $34

a) Before the sales tax, total savings = ($64 - $48) + ($46 - $34) = <em>$26</em>

b) Total percentage discount on total sales.

Total bill for original price = $62 + $46 = $108

Percentage discount can be found by the formula:

\dfrac{\text{Total discount}}{\text{Total bill for original price}}\times 100\\\Rightarrow \dfrac{26}{108} \times 100 = 24.07\%

c) Total amount paid if the sales tax is 15%.

Amount paid with tax = Amount after discount + 15% of amount after discount

Amount after discount = $48 + $34 = $82

15% of $82 = $18.29

Amount paid with sales tax = $82 + $12.3 = <em>$94.3</em>

6 0
3 years ago
Is the number a multiple of 8? Write yes or no. 4, 8, 20, 40.WHAT IS MULTIPLE
BARSIC [14]

Consider two integers x,y. We say that x is a multiple of y if x is evenly divisible by y:

\dfrac{x}{y} = k,\quad x,y,k \in \mathbb{Z}

Alternatively, we can say that x is a multiple of y if there exists an integer k such that x = ky

So:

  • 4 is not a multiple of 4, because 4/8 is not an integer.
  • 8 is a multiple of 8, because 8/8=1
  • 20 is not a multple of 8, because 20/8 is not an integer
  • 40 is a multiple of 8, because 40/8=5
8 0
3 years ago
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