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Lelu [443]
3 years ago
12

8. A home security system has a pad with 9 digits (1 to 9). Find the number of possible 5-digit pass codes:

Mathematics
1 answer:
nikdorinn [45]3 years ago
5 0

Answer:

a. 59049

b. 15120

Step-by-step explanation:

<u>a. If digits can be repeated:</u>

  • There are 9 possible numbers for each digit

That is:  possible 5-digit pass codes are 9×9×9×9×9=9^{5}=59049

<u>b. If digits cannot be repeated.</u>

There is

  • 9 possibility for the first digit,
  • 8 possibility for the second digit
  • 7 possibility for the third digit
  • 6 possibility for the fourth digit
  • 5 possibility for the fifth digit

That is:  possible 5-digit pass codes are 9×8×7×6×5=15120

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QUESTION 1
wlad13 [49]

Based on the information given, the simple interest rate that will be earned will be 13.6%.

  • Principal = $5250
  • Simple Interest = $6500- $5250 = $1250
  • Time = 21 months = 1.75 years.

Simple Interest = PRT / 100

1250 = (5250 × 1.75 × R) / 100

Cross multiply

125000 = 9187.5R

R = 125000 / 9187.5

R = 13.6%

Read more on simple interest on:

brainly.com/question/24429956

3 0
2 years ago
In a standard deck of 52 cards, what is the probability of drawing one card and getting a face card or a heart?
serious [3.7K]

Answer: I hope this helps :)

Step-by-step explanation:

All in all, this leaves us with #(Heart or Face card) = 13+12–3=22 cards.

So your probability would be p(Heart or Face card)= 22/52  or  11/26  or 42,3%

(but they are all the same)

4 0
3 years ago
Read 2 more answers
Find the area of a rectangle with length (x- 3) and <br> width (x + 5).
Anarel [89]

Answer:

x^2+2x-15

Step-by-step explanation:

A=L*W

A=(x-3)(x+5)

A=x^2+5x-3x-15

A=x^2+2x-15

hope this helps ya!

can i get brainliest please?

7 0
3 years ago
An airplane is flying at an elevation of 5150 ft, directly above a straight highway. Two motorists are driving cars on the highw
Alecsey [184]

Answer:

The cars are 10702ft apart

Step-by-step explanation:

Height of the plane from the high way = 5150ft

Considering Triangle ABD, we will be using SOHCAHTOA

Tan = Opposite/ Adjacent

Tan 54° = Y/5150

Y = 5150*tan54°

Y = 7088 ft

Considering Triangle ADC, Tan = Opposite/ Adjacent is also applicable

Tan 34° = X/5150

X = 5150*tan 54°

X = 3614ft

The distance between the two cars = (X+Y)

= 7088 + 3614

= 10702ft

6 0
3 years ago
Solve the inequality. Write your answer using interval notation. X(x − 1)(x + 4) &gt; 0
Nata [24]

Set each factor EQUAL to zero to find the zeroes (since it is not actually equal to zero, you will use an open circle when graphing and an open bracket when writing in interval notation).

x = 0           x-1 = 0             x + 4 = 0

                   x = 1                x = -4

Next, choose a value to the far left, between each of the zeroes, and to the far right to evaluate if it makes a true statement when input into the given inequality.

far left (I choose -5): -5(-5 - 1)(-5 + 4) > 0   →  (-)(-)(-) > 0  →   negative > 0  FALSE

- 4 to 0 (I choose -2): -2(-2 - 1)(-2 + 4) > 0   →  (-)(-)(+) > 0  →   positive > 0  TRUE

0 to 1 (I choose 0.5): .5(.5 - 1)(.5 + 4) > 0   →  (+)(-)(+) > 0  →   negative > 0  FALSE

far right (I choose 2): 2(2 - 1)(2 + 4) > 0   →  (+)(+)(+) > 0  →   positive > 0  TRUE

Answer: (-4, 0) U (1, ∞)

8 0
3 years ago
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