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timofeeve [1]
3 years ago
12

32 percent of the customers of a fast food chain order the Whopper, French fries and a drink. A random sample of 10 cash registe

r receipts is selected. What is the probability that eight receipts will show that the above three food items were ordered?
Mathematics
1 answer:
weqwewe [10]3 years ago
8 0

Answer: 0.0023

Step-by-step explanation:

Let X be the binomial variable that represents the number of receipts will show that the above three food items were ordered.

probability of success p = 32% = 0.32

Sample size : n= 10

Binomial probability function :

P(X=x)= \ ^nC_xp^x(1-p)^{n-x}

Now, the probability that eight receipts will show that the above three food items were ordered :

P(X=8)=\ ^{10}C_8(0.32)^8(1-0.32)^2\\\\=\dfrac{10!}{8!2!}(0.32)^8(0.68)^2\\\\=5\times9(0.0000508414176684)\\\\=0.00228786379508\approx0.0023

hence, the required probability = 0.0023

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Step-by-step explanation:

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Answer:

Clayton could use the relationship (x,y)→ (y,x) to find the points of the image

C’ will remain in the same location as C because it is on the line of reflection

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Step-by-step explanation:

<u><em>Verify each statement</em></u>

case A) Clayton could use the relationship (x,y)→ (y,x) to find the points of the image

The statement is true

we know that

The rule of the reflection of a point across the line y=x is equal to

(x,y)→ (y,x)

case B) Clayton could negate both the x and y values in the points to find the points of the image

The statement is false

case C) C’ will remain in the same location as C because it is on the line of reflection

The statement is true

If a point is on the line of reflection (y=x), then the point remain in the same location because the x and y coordinates are equal

case D) C’ will move because all points move in a reflection

The statement is false

Because C' is on the line of reflection (y=x), then the point remain in the same location

case E) The image and the pre-image will be congruent triangles

The statement is true

Because the reflection not change the length sides of the triangle or the measure of its internal angles. Reflection changes only the orientation of the figure

case F) The image and pre-image will not have the same orientation because reflections flip figures

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Step-by-step explanation:

standard deviation =228 minute

error =13 minute given

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α=1-0.90=0.1

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we know that sample size should be greater than

n\geq \left ( z_\frac{\alpha }{2}\times \frac{\sigma }{E} \right )^2

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Round .796 to the nearest hundredth.
hammer [34]

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The answer is .800

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