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Furkat [3]
3 years ago
12

Suppose there is a deck where every card has both a single color and a single number. Suppose the colors are Red, Green, and Blu

e and the numbers are 1-20.
What is the probability that a randomly selected card will be Green 1?
What is the probability that a randomly selected card will be red?
Mathematics
1 answer:
Elza [17]3 years ago
6 0

Answer:

A. <u>P = 1.7% (rounding to the next tenth) </u>

B. <u>P = 33.3% (rounding to the next tenth) </u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of red cards = 20

Number of blue cards = 20

Number of green cards = 20

Total number of cards = 60

2. A. What is the probability that a randomly selected card will be Green 1?

Let's recall that the formula of the probability is:

P = Number of favorable outcomes/Total number of possible outcomes

Replacing with the value we have:

P = 1/60 = 0.017

<u>P = 1.7% (rounding to the next tenth) </u>

B. What is the probability that a randomly selected card will be red?

P = Number of favorable outcomes/Total number of possible outcomes

Replacing with the value we have:

P = 20/60 = 0.333

<u>P = 33.3% (rounding to the next tenth)</u>

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Please help and explain!!!!!
FinnZ [79.3K]

Let x be the amount of the 30% alloy and y the amount of the 60% alloy the metalworker will use. However much is used, the final alloy will have a mass of

x+y=100

kilograms. For each kg of the 30% alloy used, 0.3 kg is copper; similary, each kg of the 60% alloy contributes 0.6 kg, so that

0.3x+0.6y=0.54(x+y)=54

Now,

x+y=100\implies y=100-x

\implies0.3x+0.6(100-x)=54

\implies60-0.3x=54

\implies0.3x=6

\implies x=20

\implies y=100-20=80

6 0
4 years ago
Cos(0)=square root 3/3, sin 0&lt;0. what is the value of sin0​
abruzzese [7]

Answer:

sin θ = \frac{\sqrt{6} }{3}

Step-by-step explanation:

Given that,

cos θ = \frac{\sqrt{3} }{3}

From the trigonometric functions,

cos θ = \frac{adjacent}{hypotenus}

⇒ adjacent = \sqrt{3}, and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

/hyp/^{2} = /adj/^{2} + /opp/^{2}

/3/^{2} = (\sqrt{3} )^{2} + x^{2}

9 = 3 + x^{2}

x^{2} = 9 - 3

   = 6

x = \sqrt{6}

Thus, opposite side = \sqrt{6}

So that,

sin θ = \frac{opposite}{hypotenuse}

        = \frac{\sqrt{6} }{3}

Therefore,

sin θ = \frac{\sqrt{6} }{3}

6 0
3 years ago
Analyze the set below and complete the instructions that follow.
IrinaVladis [17]

Answer:

C

Step-by-step explanation:

Given: the set is defined as C=\left \{ x|x

To find: Set builder form of the complement of the set C.

Solution:

A set is a well-defined collection of objects. Set-builder form is used to denote the elements of the set. This form can also be used to express sets using an interval or an equation.

Complement of set A refers to elements not in A.

For C=\left \{ x|x,

C^c=\left \{ x|x\geq -42 \right \}

Option C is correct.

7 0
3 years ago
A restaurant that specializes in pizza providA restaurant that specializes in pizza provides the following pricing table for a l
Mrac [35]

Answer:it’s b

Step-by-step explanation:

6 0
3 years ago
24 is 0.4 of what number
horrorfan [7]

Answer:

60

Step-by-step explanation:

All you have to do is this:

24 * 2/5 (original equation)

24*5/2 = 60

6 0
4 years ago
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