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Genrish500 [490]
3 years ago
12

we need to make a number code with 4 digits. how many codes have at least two equal digits? and how many codes have exactly 3 eq

ual digits?
Mathematics
1 answer:
Blizzard [7]3 years ago
6 0

Answer:

First do the case in which none of the digits is 0.

There are 9 ways to choose the digit that repeats 3 times and 8 ways to pick the other, after this there are 4 ways to order the digits. So 9×8×4.

Now we look at the cases in which the digit 0 repeats 3 times. Clearly the 9 numbers are 1000,2000,3000,…,9000.

Lastly we look at the cases in which 0 appears once. There are 9 ways to pick the other digit and 3 ways to order.

So the final answer is 9×8×4+9+9×3.

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There are 36 students in the class 1/6 students are wearing blue shirts and 2/3 are wearing white shirts how many are wearing a
Marat540 [252]

Answer:

The answer would be 1/6 kids are wearing shirts that are neither blue or white.

Step-by-step explanation:

So, to make this easier, lets convert 2/3 to a same denominator fraction.

We must ask, how many times does 3 go into six?

We multiply 3 by 2 and get six. We then multiply the numerator of 2 by the same, getting 4.

Our new fraction is 4/6 which is equal to 2/3.

Then we add 4 to 1, making it 5. That is the amount of students wearing blue and white shirts, which means

1/6 of the kids in the class are wearing shirts that are neither white nor blue.

Hope this helps,

<em>waffletowne </em>

3 0
3 years ago
An artist needs to paint a mural on a wall. The mural needs to be 15 feet high. The mural is to be drawn to scale
Illusion [34]

Answer:

225 feet

Step-by-step explanation:

if you multiply 15 x 15 you get 225

if this is wrong i am so sorry

3 0
3 years ago
10. Write (2x + 1)(x - 3)(x - 2) in standard form.
Leto [7]

Answer:

2x^3-9x^2+7x+6

Step-by-step explanation:

The standard form of a polynomial is a method of writing a polynomial such that the terms are organized by degrees. In essence, the first term, or the left-most term has the highest degree or largest exponent. The right-most term or last term has the lowest degree or smallest exponent. One is given an expression in factored form. Distribute, multiply every term by another in the parenthesis, then simplify. Repeat this process until there are no more factored terms. Finally, rewrite the expression in standard form.

(2x+1)(x-3)(x-2)

Distribute,

(2x+1)(x-3)(x-2)

((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)

Simplify,

((2x)(x)+(-3)(2x)+(1)(x)+(1)(-3))(x-2)

(2x^2-6x+x-3)(x-2)

(2x^2-5x-3)(x-2)

Distribute,

(2x^2-5x-3)(x-2)

(2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)

Simplify,

(2x^2)(x)+(-5x)(x)+(-3)(x)+(-2)(2x^2)+(-2)(-5x)+(-3)(-2)

2x^3-5x^2-3x-4x^2+10x+6

2x^3-9x^2+7x+6

This polynomial is already in standard form, thus there is no need to reorganize it. The leading term or the left-most term has the highest degree, three, the succeeding terms are in respective order of decreasing exponents.

8 0
3 years ago
During hockey season, Pete scored goals on 15% of the shots he took. If he scored 75 goals, how many shots did he take?
Rashid [163]

Answer:

86 shots

Step-by-step explanation:

8 0
3 years ago
Name
Snowcat [4.5K]

Answer:

130 - P = 62

Step-by-step explanation:

In order to find the amount of pink carnations (p) you need to subtract the amount known (white carnations).

4 0
4 years ago
Read 2 more answers
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