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nydimaria [60]
3 years ago
11

When rolling a six-sided die, match the event with whether it is simple or compound. Question 3 options: Roll and odd number. Ro

ll a number less than 2. Roll a number greater than 3. Roll a 5. Roll a number divisible by 2. 1. Simple 2. Compound
Mathematics
1 answer:
GarryVolchara [31]3 years ago
7 0
Rolling an odd number:  compound
Rolling a number less than 2:  simple
Rolling a number greater than 3:  compound
Rolling a 5:  simple
Rolling a number divisible by 2:  compound

A compound event is one that can happen in more than one way; a simple vent is one that can only happen one way. 

To roll an odd number, we can roll a 1, 3, or 5; this is compound.
To roll a number less than 2, we can roll a 1; this is simple
To roll a number greater than 3, we can roll a 4, 5, or 6; this is compound.
To roll a 5, we can only roll a 5; this is simple.
To roll a number divisible by 2, we can roll 2, 4 or 6; this is compound.
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Solve the problem below, simplify, add steps<br> 1/3 √21 minus 2/3 √3 * √7
iogann1982 [59]
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4 0
4 years ago
Your surf shop sells two types of surfboards. The first type A, costs $272 and you make a profit of $29 on each one. The second
brilliants [131]
Let the number of type A surfboards to be ordered be x and the number of type B surfboards be y, then we have

Minimize: C = 272x + 136y

subject to: 29x + 17y ≥ 1210
                 x + y ≤ 50
                 x, y ≥ 1

From the graph of the constraints, we have that the corner points are:

(20, 30), (41.138, 1) and (49, 1)

Applying the corner poits to the objective function, we have

For (20, 30): C = 272(20) + 136(30) = 5440 + 4080 = $9,520
For (41.138, 1): C = 272(41.138) + 136 = 11189.54 + 136 = $11,325.54
For (49, 1): C = 272(49) + 136 = 13328 + 136 = $13,464

Therefore, for minimum cost, 20 type A surfboards and 30 type B surfboards should be ordered.
6 0
3 years ago
An unbiased coin is tossed 15 times. In how many ways can the coin land tails either exactly 8 times orexactly 5 times?
Kitty [74]

Answer:

Probability to get tails exactly 8 times or exactly 5 times is 0.29

Step-by-step explanation:

No of ways the coins lands tails exactly 8 times

P(8) = 15C8 × 0.5^{8} × 0.5^{15-8}

No of ways the coin lands tails exactly 5 times

P(5) = 15C5 × 0.5^{5} × 0.5^{15-5}

Probability to get tails exactly 8 times or 5 times

P(8)+P(5) =  15C8 × 0.5^{15} + 15C5 × 0.5^{15}

P = 0.5^{15} (  15C8 + 15C5 )

P = 0.5^{15} ( (  \frac{15!}{8!(15-8)!}  ) + ( \frac{15!}{5!(15-5)!} ) )

P = 0.5^{15} ( 6435 + 3003 )

P = 0.5^{15} ( 9438)

P = 0.5^{14} ( 4719)

P =  \frac{4719}{16384}

P = 0.29

8 0
3 years ago
What is the missing justification?
Vladimir [108]

Answer:

The missing justification is the transitive property.

Step-by-step explanation:

The missing justification is the transitive property. The transitive property states that: If a = b and b = c, then a = c.

3 0
4 years ago
Find the prime factorization of each number: <br> 11. 29 <br> 12. 168
Ray Of Light [21]
29 is a prime number.
Factors of 29: 1 , 29

168 is a composite number, therefore you can find the prime factorization for it. Divide prime factors until what is left is a prime number. Use the tree factor. See attached picture:

Prime factorization of 168: 2, 2, 2, 3, 7

7 0
3 years ago
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