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Allisa [31]
3 years ago
12

A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated. What is the appr

oximate probability that the code only contains odd numbers?
0.0005
0.00099
0.012
0.02381
Mathematics
2 answers:
zubka84 [21]3 years ago
7 0

Answer:  0.02381

Step-by-step explanation:

Given: A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated.

The total number of ways to make security alarm will be  (without repetition) :

^{10}P_4=\dfrac{10!}{4!(10-4)!}\\\\=\dfrac{10!}{4!6!}=210

If we take only odd numbers then the number of ways to make security alarm will be (without repetition):

^5P_4=\dfrac{5!}{4!(5-4)!}=5

Now, the probability that the code only contains odd numbers will be

P(odd)=\dfrac{5}{210}=0.023809523809\approx0.002381

Shkiper50 [21]3 years ago
3 0
The approximate probability that the code only contains odd numbers is 0.02381.
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Combine like terms to simplify the following expression: 12x + 4y – 3x + 2 – 8y2 + 32
sesenic [268]

Answer: The answer is 9x-8y²+4y+34

Step-by-step explanation: Since the equation is 12x+4y-3x+2-8y^2 + 32

1.  combine like terms so- combine 12x-3x= 89x

2. look for other like terms- 2+32= 34

3. since 8y^2 and 4y are not the same you can combine them

4. put them all together- 9x-8y^2+4y+3

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6 0
2 years ago
Read 2 more answers
Please give me the answers to all three I will mark u brilliant
elixir [45]

Answer:

First know the formula for the area of a circle;

<h2>A = πr^{2}</h2>

Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius being squared.

For the first problem, we can see that 12 is our <u>diameter</u>.

And to find the radius, we need to find 1/2 of the diameter (half of the diameter), so;

D/2 = R

Replace with actual values;

12/2 = 6, <u>6</u> is our <u>radius</u>.

Now we plug this into our formula:

A = πr^{2}

A = 3.14(6^2)

A = 3.14(36)

A = <u>113.04 centimetres</u> is the area of the circle.

For the second problem, we can see that 18 is our <u>diameter</u>.

And to convert the diameter into the radius, we do what we did to the past problem, find 1/2 of the diameter.

So;

D/2 = R

18/2 = 9, <u>9</u> is our <u>radius</u>.

Now we plug this into our formula:

A = πr^{2}

A = 3.14(9^2)

A = 3.14(81)

A = <u>254.34 inches</u> is the area for this circle.

For the third problem, we can see that our radius is already given, 5.

So now we just simply and easily plug this into our formula;

A = πr^{2}

A = 3.14(5^2)

A = 3.14(25)

A = <u>78.5 meters</u> is the area for this circle.

4 0
2 years ago
Two mechanics worked on the car the first mechanic work for five hours in a sec mechanic work for 15 hours together the tires a
FrozenT [24]

Answer:

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Mechanic 2: $105 per hour

Step-by-step explanation:

Given

Represent the rate of the first mechanic with x and the second with y.

So, we have:

x + y = 160

The total earnings is: $1850, so we have:

5x + 15y = 1850

Required

Determine the rate of each

The equations are:

x + y = 160 --- (1)

5x + 15y = 1850 --- (2)

Divide (2) through by 5

x + 3y = 370 --- (3)

Subtract (1) from (3)

x - x + 3y - y = 370 - 160

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Divide through by 2

y = \frac{210}{2}

y = 105

Substitute 105 for y in (1)

x + y = 160

Make x the subject

x = 160 - y

Substitute 105 for y

x = 160 - 105

x = 55

Hence:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

7 0
3 years ago
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Goshia [24]

Answer: 188.4 cm

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The circumference of the circle is 188.4\ cm

8 0
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