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igomit [66]
3 years ago
5

A briefcase has a three- digit lock code that doesn't include zero as a digit. What is the probability that the lock code consis

ts of all even digits if the same digit is not used more than once.
Mathematics
1 answer:
storchak [24]3 years ago
5 0

Answer:

1/21.

Step-by-step explanation:

There are 9 digits and the total number of permutations of 3 from 9 is 9P3

= 9!/6!  = 504.

There are 4 even digits so the number of permutations of 3 from these 4 is 4!  (4-3)!  = 4*3*2 = 24.

So the required probability =  24/504

= 1/21.

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3. Sophie and Jackie each have a collection of baseball cards, Jackie has 5 more cards than
IRISSAK [1]

Answer:

Sophie has 12.5 cards

Step-by-step explanation:

Let

x -----> number of cards Sophie has

y -----> number of cards Jackie has

we know that

x+y=30 -----> equation A  

y=x+5 -----> equation B

Solve by substitution

Substitute equation B in equation A and solve for x

x+(x+5)=30

2x=30-5

x=12.5 cards

Note I assume the problem was invented without taking into account the result, because the amount of cards should be a whole number

5 0
2 years ago
Enter a recursive rule for the geometric sequence. 6, −18, 54, −162, ...
svlad2 [7]

Answer:

The required recursive formula is:

a_n=(-3)\times a_{n-1}

Step-by-step explanation:

We are given a geometric sequence as:

6,-18,54,-162,.....

Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.

Let a_n represents the nth term of the sequence.

This means that:

a_1=6, a_2=-18, a_3=54, a_4=-162,......

As the common ratio is -3.

so,

a_1=6\\\\a_2=-18=(-3)\times a_1\\\\a_3=54=(-3)\times a_2\\\\.\\.\\.\\.\\.\\.\\.\\.\\.a_n=(-3)\times a_{n-1}

Hence, the required recursive formula for the geometric sequence is:

a_n=(-3)\times a_{n-1}

5 0
3 years ago
What is an equation of the line that passes through the point (2, 4 and is perpendicular to the line whose equation is 3y = 6x 3
Maru [420]
Perpendicular line always have slopes that are negative reciprocals of one another.  Mathematically,

m1*m2=-1

So to be perpendicular to the line given, let's rearrange it to the point slope form of a line...

3y=6x ?3 (not sure what you wanted to type there)

anyway isolating y by dividing both side by three will leave 2x where 2 is the slope.

So for the other line to be perpendicular, m*2=-1, m=-1/2, now we have:

y=-x/2 +b, we can now you the point given to solve for b

4=-2/2 +b

4=-1+b

b=5 so

y=-x/2 +5 or more neatly

y=(10-x)/2
3 0
2 years ago
A box of granola bars contains 3 chocolate chip bars, 2 peanut butter bars, 1 lemon bar and 4 raisin bars. Tasha will randomly s
jeyben [28]

Answer:

FOR LEMON = 1/10

FOR RAISIN = 4/9

Step-by-step explanation:

7 0
2 years ago
Find the value of x in the triangle shown below.
Alekssandra [29.7K]

Answer:

102 degrees.

Step-by-step explanation:

Because the 3.3's are congruent (the same), this triangle is isosceles.

A property of isosceles means that the two angles are congruent.

39+39= 78

This means that the last angle must be 180-78.

5 0
3 years ago
Read 2 more answers
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