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Vlad1618
13 days ago
8

Suppose that the probability that a person books an airline ticket using an online travel website is 0.72. Consider a sample of

ten randomly selected people who recently booked an airline ticket. What is the probability that at least nine out of ten people used an online travel website when they booked their airline ticket
Mathematics
1 answer:
Inessa [12.5K]13 days ago
3 0
0.183. This problem addresses Binomial Probability. The formula is nCx × p^x × q^(n - x), where p = 0.72 and q = 1 - p = 0.28. With x representing the number of successes equal to 9 and n being 10, we are calculating the probability that at least nine out of ten people utilized an online travel website for booking. At least 9 out of 10 translates to x ≥ 9, so we calculate P(x ≥ 9) for x = 9 and x = 10. This leads to: P(x ≥ 9) = 10C9 × (0.72^9 × 0.28^(10 - 9)) + 10C10 × (0.72^10 × 0.28^(10 - 10)), resulting in approximately P(x ≥ 9) = 0.183.
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P(21≤ X ≤27) = 0.4332


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P( 0 ≤ z ≤ 6/σx) = 0.4332; for this case, Z stands for the z-score


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11 days ago
Q.1 - Adam is ordering pizza for a company party that he needs to have catered. Company A charges $8 for each pizza and a delive
lawyer [12517]

Answer:

4. A) \displaystyle x + 4 ≥ 7

3. A) \displaystyle x + 650 ≥ 1500; x ≥ 850

2. D) \displaystyle 0,95(9) + 1,25b ≤ 25

1. C) \displaystyle 8x + 45 < 12x + 5

Step-by-step explanation:

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3. $1500 represents your total, making everything else straightforward, as the keywords at least indicate that the a sum of $1500 must be greater or equal to $1500.2. Find the correspondents, then identify the inequality to apply. Here, use less than or equal because overpaying is unnecessary.1. Eight dollars

for each

pizza and twelve dollars for each pizza yields 12x and 8x. The remainder follows logically, as we have our initial costs of $45 and $5, so Company A’s total would be less than Company B's total, leading directly to our conclusion.I’m happy to assist with any further queries.

3 0
1 month ago
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A mattress store sold 1,330 mattresses in one year. If 30% of the mattresses sold were king size mattresses, how many king size
PIT_PIT [12445]

The yearly sales total for mattresses equals 1,330.

The percentage of King size mattresses sold is 30% = 30/100 = 0.3

Now, we need to find the actual sales number using the following formula:

King size mattresses sold = Total mattresses sold in a year * Percentage of King size mattresses sold

King size mattresses sold = 1,330 * 0.3 = 399

King size mattresses sold = 399


3 0
1 month ago
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Which represents the solution(s) of the graphed system of equations, y = x2 + x – 2 and y = 2x – 2? (–2, 0) and (0, 1) (0, –2) a
lawyer [12517]
The initial equation is

y = {x}^{2} + x - 2

. The subsequent equation is

y = 2x - 2

. By setting both equations equal, we can derive the following:

{x}^{2} + x - 2 = 2x - 2

{x}^{2} + x - 2x - 2 + 2 = 0

. Next, simplify:

{x}^{2} - x = 0

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x(x - 1) = 0

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y = 2(0) - 2 = - 2

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y = 2(1) - 2 = 0

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(0,-2), (1,0)

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3 0
1 month ago
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Triangles A B C and T P Q are shown. Sides A C and T Q are congruent. Angles B C A and P Q T are congruent. Which statements are
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Answer:

Triangles would be congruent through ASA if Angle A is equal to Angle T.

Triangles would be congruent via AAS if Angle B matches Angle P.

Step-by-step explanation:

It is established that sides AC and TQ are congruent, along with angles BCA and PQT. If angles A and T are equal, we apply the ASA theorem. Similarly, if angle B equals angle P, we reference the AAS theorem.

Since only two options need to be selected, you can conclude your options there.

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1 month ago
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