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Virty [35]
3 years ago
15

A sports arena can hold 18500 people, plus or minus 1200 people. Write an absolute value equation to represent the number of peo

ple that can attend an event.

Mathematics
1 answer:
Whitepunk [10]3 years ago
3 0
The solutions are only there if u need them

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"6. A brand name has a 40% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small s
statuscvo [17]

Answer:

(a) The probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b) The probability that all of the selected consumers recognize the brand name is 0.0041.

(c) The probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d) The events of 5 customers recognizing the brand name is unusual.

Step-by-step explanation:

Let <em>X</em> = number of consumer's who recognize the brand.

The probability of the random variable <em>X</em> is, P (X) = <em>p</em> = 0.40.

A random sample of size, <em>n</em> = 6 consumers are selected.

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

The probability mass function of <em>X</em> is:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...

(a)

Compute the value of P (X = 5) as follows:

P(X=5)={6\choose 5}0.40^{5}(1-0.40)^{6-5}\\=6\times0.01024\times0.60\\=0.036864\\\approx0.0369

Thus, the probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b)

Compute the value of P (X = 6) as follows:

P(X=6)={6\choose 6}0.40^{6}(1-0.40)^{6-6}\\=1\times 0.004096\times1\\=0.004096\\\approx0.0041

Thus, the probability that all of the selected consumers recognize the brand name is 0.0041.

(c)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = P (X = 5) + P (X = 6)

              = 0.0369 + 0.0041

              = 0.041

Thus, the probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d)

An event is considered unusual if the probability of its occurrence is less than 0.05.

The probability of 5 customers recognizing the brand name is 0.0369.

This probability value is less than 0.05.

Thus, the events of 5 customers recognizing the brand name is unusual.

8 0
3 years ago
The cost of a Black Forest cake at two bakeries is as follows: Julie's Bakery: cost $15, delivery charge $0.20 per mile; Bakers
Otrada [13]
15 + 0.2x = 20 + 0.15x
0.05x = 5
x = 100 miles
7 0
3 years ago
Can somebody tell me the answer to this ?
Dmitriy789 [7]

Answer:

16/93

Step-by-step explanation:

3 0
3 years ago
How much do I need to subtract from 67/10 to make 6
Harrizon [31]

Answer:

0.7

Step-by-step explanation:

67/10 is the same as 6.7 when you subtract the 0.7 you will remain with 6

4 0
3 years ago
Which of the figures shown on the circle is a chord? answers: 1) ef 2) cd 3) fc 4) ac
Naya [18.7K]

Answer:

EF

Step-by-step explanation:

A chord is a line segment whose endpoints both lie on the circle.

EF is the chord.

AC is the radius.

DC is a tangent.

FC is a secant.

The correct answer is the first choice.

3 0
3 years ago
Read 2 more answers
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