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solong [7]
3 years ago
6

Help PLEASE LIKE ACC STEP BY STEP FIND X PLZ

Mathematics
1 answer:
nikklg [1K]3 years ago
8 0

Answer:

33

Step-by-step explanation:

The sum of interior angles in a rectangle is 360°

98 + 98 + 98 + 2x = 360

294 + 2x = 360

2x = 66°

x = 33

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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 Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold twice as sundaes tha
shutvik [7]

Answer:

i dont want  to put the whole example cz like ur school might catch u so u gonna have to do the explainin part srry:( but the answear is 156$

Step-by-step explanation:

6 0
3 years ago
Which numerical expression is equivalent to 6 to the power of 3 times 4 to the power of 2​
tangare [24]

Answer:

6^3 * 4^2

Step-by-step explanation:

6 0
3 years ago
ABC is reflected across x = 1 and y = -3. What are the coordinates of the reflection image of B after both reflections?A. (-7, -
Dima020 [189]

Answer:

The correct option is C.

Step-by-step explanation:

From the given figure it is noticed that the coordinates of B are (-5,-7).

If ABC is reflected across x = 1, then

(x,y)\rightarrow(1-(x-1),y)

(x,y)\rightarrow(2-x,y)

(-5,-7)\rightarrow(2+5,-7)

(-5,-7)\rightarrow(7,-7)

If ABC is reflected across y =-3.

(x,y)\rightarrow(x,-3-(y-(-3)))

(x,y)\rightarrow(x,-6-y)

(7,-7)\rightarrow(7,-6-(-7))

(7,-7)\rightarrow(7,1)

Therefore option C is correct.

8 0
3 years ago
What is 5.48 million in scientific notation?
Amanda [17]
5,480,000 = 5.48 x 10^6
8 0
3 years ago
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