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dimulka [17.4K]
2 years ago
10

During a promotional event a sporting goods store gave a free t-shrit to every 10 customer and a free water bottle to every 15 c

ustomer which customer has the first to get a free t-shirt and a free water bottle
Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
3 0

9514 1404 393

Answer:

  30th

Step-by-step explanation:

The least common multiple of 10 and 15 is 30.

  30 = 10×3 = 15×2

The 30th customer will be the first to receive both promotional items.

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Suppose I ask you to pick any four cards at random from a deck of 52, without replacement, and bet you one dollar that at least
Tatiana [17]

Answer:

a) No, because you have only 33.8% of chances of winning the bet.

b) No, because you have only 44.7% of chances of winning the bet.

Step-by-step explanation:

a) Of the total amount of cards (n=52 cards) there are 12 face cards (3 face cards: Jack, Queen, or King for everyone of the 4 suits: clubs, diamonds, hearts and spades).

The probabiility of losing this bet is the sum of:

- The probability of having a face card in the first turn

- The probability of having a face card in the second turn, having a non-face card in the first turn.

- The probability of having a face card in the third turn, having a non-face card in the previous turns.

- The probability of having a face card in the fourth turn, having a non-face card in the previous turns.

<u><em>1) The probability of having a face card in the first turn</em></u>

In this case, the chances are 12 in 52:

P_1=P(face\, card)=12/52=0.231

<u><em>2) The probability of having a face card in the second turn, having a non-face card in the first turn.</em></u>

In this case, first we have to get a non-face card (there are 40 in the dech of 52), and then, with the rest of the cards (there are 51 left now), getting a face card:

P_2=P(non\,face\,card)*P(face\,card)=(40/52)*(12/51)=0.769*0.235=0.181

<u><em>3) The probability of having a face card in the third turn, having a non-face card in the first and second turn.</em></u>

In this case, first we have to get two consecutive non-face card, and then, with the rest of the cards, getting a face card:

P_3=(40/52)*(39/51)*(12/50)\\\\P_3=0.769*0.765*0.240=0.141

<u><em>4) The probability of having a face card in the fourth turn, having a non-face card in the previous turns.</em></u>

In this case, first we have to get three consecutive non-face card, and then, with the rest of the cards, getting a face card:

P_4=(40/52)*(39/51)*(38/50)*(12/49)\\\\P_4=0.769*0.765*0.76*0.245=0.109

With these four probabilities we can calculate the probability of losing this bet:

P=P_1+P_2+P_3+P_4=0.231+0.181+0.141+0.109=0.662

The probability of losing is 66.2%, which is the same as saying you have (1-0.662)=0.338 or 33.8% of winning chances. Losing is more probable than winning, so you should not take the bet.

b) If the bet involves 3 cards, the only difference with a) is that there is no probability of getting the face card in the fourth turn.

We can calculate the probability of losing as the sum of the first probabilities already calculated:

P=P_1+P_2+P_3=0.231+0.181+0.141=0.553

There is 55.3% of losing (or 44.7% of winning), so it is still not convenient to bet.

5 0
3 years ago
Jessie typed the first 300 words of her essay in 12 minutes. She then got tired and typed the remaining 300 words of her essay i
kozerog [31]

Answer:

22,22 min

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
When a man observed a sobriety checkpoint conducted by a police​ department, he saw 671671 drivers were screened and 77 were arr
kifflom [539]

Answer:

P(\overline W)=0.98957

Step-by-step explanation:

Number of drivers Screened = 671

Number Arrested for Driving While Intoxicating = 7

If the W denotes the event of screening a driver and getting someone who is intoxicated.

The Probability of W, P(W)=\frac{7}{671}=0.01043

  • The Probability P(\overline W) is the probability of the event of screening a driver and getting someone who is not intoxicated. Simply put, it is the Probability of the Complement of W.

From Probability Theorem,

P(W)+P(\overline W)=1\\Since \: P(W)=0.01043\\0.01043+P(\overline W)=1\\P(\overline W)=1-0.01043\\=0.98957

8 0
3 years ago
Erin calculated the average speed of her most recent run to be 120/16 miles per hour how is this friction expressed as a decimal
Contact [7]

Answer:

\dfrac{15}{2}

Step-by-step explanation:

The average speed of the Erin is 120/16 mph

Here,

Numerator = 120

Denominator = 16

mph = miles per hour

We need to find an expression expressed as a decimal.

So,

\dfrac{120}{16}=\dfrac{2\times 3\times 2\times 2\times 5}{2\times 2\times 2\times 2}\\\\=\dfrac{15}{2}

So, the final answer is \dfrac{15}{2}.

4 0
3 years ago
Is the difderence of 1.48-0.25 less than or greater than one? Explain
luda_lava [24]
Greater than 1.Because 1.25-0.25=1.23.That's it.
6 0
3 years ago
Read 2 more answers
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