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QveST [7]
3 years ago
13

You pick 4 digits (0-9) at random without replacement, and write them in the order picked. what is the probability that you have

written the first 4 digits of your phone number? assume there are no repeats of digits in your phone number.
Mathematics
1 answer:
Sophie [7]3 years ago
7 0

The number of ways of choosing 4 digits from 10 digits without replacement ( order is important) is P(10,4)=\frac{10!}{(10-4)!} =\frac{10!}{(6)!} =7*8*9*10=5040. This is the number of all possible permutations of choosing 4 from 10. The first 4 numbers of your phone number is a unique 4 digit number(4 different digits). The required probability is

\frac{1}{5040}

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Jkl is an equilateral triangle jk= 13x+5,KL= 17X-19 AND JL= 8X+35​
stira [4]

Answer:

x = 6

Step-by-step explanation:

Since the triangle is equilateral then sides are congruent.

Equate any 2 sides and solve for x

13x + 5 = 8x + 35 ( subtract 8x from both sides )

5x + 5 = 35 ( subtract 5 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

JK = (13 × 6) + 5 = 78 + 5 = 83

KL = (17 × 6) - 19 = 102 - 19 = 83

JL = (8 × 6) + 35 = 48 + 35 = 83

ΔJKL is equilateral with side = 83

4 0
3 years ago
Write these values in order starting with the smallest . <br> 0.15 12% 1/10 1/20
Vikki [24]

Answer:

1/10, 1/20, 12%, 0.15

Step-by-step explanation:

1/20=1÷20=0.05

12%= 12÷100=0.12

1/10= 1÷10= 0.01

6 0
3 years ago
17 in long 1.3 ft wide and 8in high what is the volume
OverLord2011 [107]

Answer:

135.2

Step-by-step explanation:

Volume is LWH and that is 17 * 1.3 * 8=135.2

5 0
3 years ago
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What is the y-intercept of the line given by the equation below?
kotykmax [81]

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I got I right 100%

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Ralph invested in a mutual fund and at the end of 20 years he has $14,300 in his account. If the mutual fund returned an average
Semenov [28]

Answer:

\$5,500

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=20\ years\\ P=?\\ A=\$14,300\\r=8\%=8/100=0.08

substitute in the formula above

14,300=P(1+0.08*20)

14,300=P(2.6)

P=14,300/(2.6)

P=\$5,500

7 0
3 years ago
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