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NikAS [45]
2 years ago
13

Add the fractions and simplify the answer 1/2+2/3

Mathematics
1 answer:
koban [17]2 years ago
4 0
The anawer to your question is 3/6, and simplified as 1/2.
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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
Write an equation of the line that passes through (-6.0) and (0, – 24).​
Ipatiy [6.2K]

Answer:

y = -4x - 24

Step-by-step explanation:

Firstly, figure out the slope. To do that, plug the coordinates in the formula.

y2 - y1 / x2 -x1

= -24 - 0 / 0 - (-6)

= -4

The slope is -4/1x.

To figure out the y-intercept, you need to plug one of the coordinates into

y = -4x + b

0 = -4(-6) + b

0 = 24 +b

-24 = b

4 0
3 years ago
Read 2 more answers
Which one is not true?
Charra [1.4K]

Answer:

D

Step-by-step explanation:

-61>-10>0 is not true

The greater the negative number is the smaller it becomes.

8 0
2 years ago
Find the leading coefficient and write the factored form of the function of least degree for the polynomial in the graph below.
OLga [1]
Yyyiyoyjtjdnxhwhshshdhesjdjejd
3 0
2 years ago
Find a degree 3 polynomial with leading coefficient of 4 and zeros -2, 1, and 5
Alex Ar [27]

Answer:

4x^3-16x^2-28x+40

It will take a while to describe how i got this, but i checked the zeroes are ok.

4 0
2 years ago
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