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sesenic [268]
2 years ago
14

Find the probability of drawing a 10 or a face card from a standard deck of cards.

Mathematics
1 answer:
Sati [7]2 years ago
6 0

Answer:

Fraction: 16/52

Percent: 30.77

Decimal: 0.3077

Step-by-step explanation:

- A standard deck has 12 face cards.

The probability of picking one is 12/52

- A standard deck has 4 of each number, so 4 of the 10 cards

The probability of picking one is 4/52

combine, 12/52 + 4/52 = 16/52

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The answer is 7 - 7.5

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Determine whether 109 is prime, composite or neither
Verdich [7]

prime (not composite) as it can only be divided by 1 and itself

6 0
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The paint mixer wants to mix paint that is 30% gloss with paint that is 15% gloss to make 3.75 gallons of paint that is 20% glos
Kipish [7]

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

In this question we must determine the correct volumes of each paint to obtain a 20 % gloss with paint by means of weighted averages:

c_{r} = x\cdot c_{a} +(1-x)\cdot c_{b} (1)

Where:

  • x - Proportion of the paint that is 30 % gloss.
  • c_{a} - Concentration ratio of the paint that is 30 % gloss.
  • c_{b} - Concentration ratio of the paint that is 15 % gloss.
  • c_{r} - Resulting concentration ratio

If we know that c_{a} = 0.3, c_{b} = 0.15 and c_{r} = 0.2, then the proportion of the paint that is 30 % gloss is:

0.2 = 0.3\cdot x +(1-x)\cdot 0.15

0.2 = 0.15\cdot x+0.15

0.15\cdot x = 0.05

x = 0.33

And the quantity of gallons needed of each paint are:

Paint (30 % gloss)

V_{a} = 0.33\cdot (3.75\,gal)

V_{a} = 1.238\,gal

Paint (15 % gloss)

V_{b} = V-V_{a}

V_{b} = 3.75\,gal-1.238\,gal

V_{b} = 2..512\,gal

The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.

To learn more on weighted averages, we kindly invite to check this question: brainly.com/question/18554478

8 0
2 years ago
Question 2<br> What is the LATERAL SURFACE AREA of this cylinder?
erastova [34]

The lateral surface area is the area of the side thing, not the 2 circles.

If we imagine to stretch the side out, we can get a rectangle with base the circumference to the base circle, and height of 9 inches.

Therefore this area is pi*8*9=72π

7 0
2 years ago
A sea bird is 28 meters above the surface of the ocean. What is it’s Elevation
SCORPION-xisa [38]

Answer:

28 meters above sea level or just positive 28

Step-by-step explanation:


5 0
3 years ago
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