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yaroslaw [1]
2 years ago
10

You are the new manager at Taco bell. A customer told you that they had to wait 13 minutes for their food.You approach your staf

f and they assure you this was unusual, and the customer was just being dramatic. To verify, you decide to conduct a study on average wait time for food ​and find an approximately normal distribution of results. The mean wait time was 7 minutes The standard deviation was 2 minutes.
Label the bell- shaped curve. (2 pts)


On an average day you serve 300 people, how many people would have to wait longer than 13 minutes? (1 pt)


Was the customer’s wait time of 13 minutes unusual? Justify your answer with a complete sentence. (1 pt)
Mathematics
1 answer:
Nady [450]2 years ago
6 0
3900 ㅤ
Yes, it is unusual

ㅤ
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A 26' long painting is how many yards long
Vlada [557]
1 yard equals three ft so 26 / 3
8 0
3 years ago
A 5-card hand is dealt from a perfectly shuffled deck. Define the events: A: the hand is a four of a kind (all four cards of one
TiliK225 [7]

In a hand of 5 cards, you want 4 of them to be of the same rank, and the fifth can be any of the remaining 48 cards. So if the rank of the 4-of-a-kind is fixed, there are \binom44\binom{48}1=48 possible hands. To account for any choice of rank, we choose 1 of the 13 possible ranks and multiply this count by \binom{13}1=13. So there are 624 possible hands containing a 4-of-a-kind. Hence A occurs with probability

\dfrac{\binom{13}1\binom44\binom{48}1}{\binom{52}5}=\dfrac{624}{2,598,960}\approx0.00024

There are 4 aces in the deck. If exactly 1 occurs in the hand, the remaining 4 cards can be any of the remaining 48 non-ace cards, contributing \binom41\binom{48}4=778,320 possible hands. Exactly 2 aces are drawn in \binom42\binom{48}3=103,776 hands. And so on. This gives a total of

\displaystyle\sum_{a=1}^4\binom4a\binom{48}{5-a}=886,656

possible hands containing at least 1 ace, and hence B occurs with probability

\dfrac{\sum\limits_{a=1}^4\binom4a\binom{48}{5-a}}{\binom{52}5}=\dfrac{18,472}{54,145}\approx0.3412

The product of these probability is approximately 0.000082.

A and B are independent if the probability of both events occurring simultaneously is the same as the above probability, i.e. P(A\cap B)=P(A)P(B). This happens if

  • the hand has 4 aces and 1 non-ace, or
  • the hand has a non-ace 4-of-a-kind and 1 ace

The above "sub-events" are mutually exclusive and share no overlap. There are 48 possible non-aces to choose from, so the first sub-event consists of 48 possible hands. There are 12 non-ace 4-of-a-kinds and 4 choices of ace for the fifth card, so the second sub-event has a total of 12*4 = 48 possible hands. So A\cap B consists of 96 possible hands, which occurs with probability

\dfrac{96}{\binom{52}5}\approx0.0000369

and so the events A and B are NOT independent.

4 0
3 years ago
The teenage market is a market that is categorized in what way?
shepuryov [24]
The answer is option d.
<span>The teenage market is a market that is categorized by consumer way.
we can say this because consumer means what you use or what you like to you use. These days teenagers like to eat fast food and go out with friends to enjoy and eat. so if you market a fast food shop, it means you are looking at the consumer way. That is why d is the best option.</span>
7 0
3 years ago
I'm so confused please helpppppppp<br><br> How is C correct please show your work
777dan777 [17]

Answer:

Step-by-step explanation:

She makes $325 a week, so go to the 8th row, for weekly income of $300 to $400.  She claims 2 exemptions, so go to the third column labeled 2.  The value is 2.  That means the $2 is withheld from her paycheck on top of the 6.25% for FICA.  The total is therefore:

$2 + (0.0625) ($325)

$22.3125

Rounded to the nearest cent, that's $22.31.

3 0
3 years ago
Paul currently has $300 to spend on a data plan. He found a phone for $100 and a $50 a month charge.
zvonat [6]
Let x= months
So 50x is the total amount he pays after x months. You went to add 100 to this because there's a fixed cost of 100 for the phone
So you have the expression 100+50x which is the amount he pays after x months
Since he has a limit of 300,
100+50x < 300
3 0
3 years ago
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