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Novosadov [1.4K]
3 years ago
15

Alan has forgotten his 4-digit PIN code.He knows it begins with a 6 and the 4 digits make an even number.How many different sets

of 4 digits could it be?
Mathematics
1 answer:
Oxana [17]3 years ago
4 0

Answer:

500.

Step-by-step explanation:

The last digit must end with 0, 2, 4, 6, 8   for the Pin code to be even.

The middle 2 digits may be any numbers.

So if the last number is 0 Then there are 10*10 = 100 possible PIN codes.

So  as there are 5 possible last digits , the total  possible sets of digits

= 5 * 100

= 500.

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The owner offers a payment plan where the total cost of the mountain bike is paid in 3 equal monthly payments. Determine the amo
Murljashka [212]

Answer:

Step-by-step explanation:

$66.67/month for three months

The monthly payment is calulated by dividing the total cost of the mountain bike by 3.  For example, if the total cost is $200, the three monthly payments will be $66.67 each:

   $200

---------------- = $66.67/month for three months

  3 months

5 0
3 years ago
Use the following conditional:
neonofarm [45]

Answer:

a: a number is odd

Step-by-step explanation:

It uses the word IF

6 0
3 years ago
Solve the equation. –3x + 9 = –3(2x + 3) + 3(x – 4) + 1 How many solutions does this equation have? one solution two solutions i
gavmur [86]

-3x+9 = -3(2x+3) + 3(x-4)+1

distribute

-3x+9 =-6x-9+3x-12+1

add like terms

-3x+9= -3x-20

add 3x to each side

9 = -20

there are no solutions because 9 does not equal -20

6 0
3 years ago
Read 2 more answers
A park has a large circle painted in the middle of the playground area. The circle is divided into 444 equal sections, and each
balu736 [363]

Answer:

The area of each section of the circle is A=25\pi\ m^{2}

Step-by-step explanation:

we know that

Each section represent a quarter of circle

The area of a quarter of circle is equal to

A=\frac{1}{4}\pi r^{2}

we have

r=10\ m

substitute

A=\frac{1}{4}\pi (10)^{2}

A=25\pi\ m^{2}

7 0
3 years ago
There are 52 cards in a deck, and 13 of them are hearts. Four cards are dealt, one at a time, off the top of a well-shuffled dec
irga5000 [103]

Answer:

10.97%

Step-by-step explanation:

There are 52 cards.

13 of them, are hearts.

Then

52 - 13 = 39 cards are not hearts.

4 cards are drawn, we want to find the percent chance that the fourth card is a heart card, but no before.

So the first card can't be a heart card.

because the deck is well-shuffled, all the cards have the same probability of being drawn.

Then the probability of not getting a heart card, is equal to the quotient between the number of non-heart cards (39) and the total number of cards (52), then the probability is:

p₁ = 39/52

The second card also can't be a heart card, the probability is calculated in the same way than above, but now there are 38 non-heart cards and a total of 51 cards (because one card was already drawn) then the probability here is:

p₂ = 38/51

For the third card the reasoning is similar to the two above cases, here the probability is:

p₃ = 37/50

The fourth card should be a hearts card, the probability is computed in the same way than above, as the quotient between the number of heart cards in the deck (13) and the total number of cards in the deck (now there are 49 cards)

then the probability is:

p₄ = 13/49

The joint probability (the probability of these 4 events happening together) is equal to the product between the individual probabilities:

P = p₁*p₂*p₃*p₄

P = (39/52)*(38/51)*(37/50)*(13/49) = 0.1097

The percent chance is the above number times 100%

Percent =  0.1097*100% = 10.97%

3 0
3 years ago
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