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Oduvanchick [21]
4 years ago
8

There are 4 aces and 4 kings in a standard deck of 52 cards. You pick onecard at random. What is the probability of selecting an

ace or a king. Explain your reasoning.
Mathematics
1 answer:
Anna007 [38]4 years ago
6 0
The odds of picking a single card out of 52 is:
1/52

The odds of picking an Ace is:

4/52 (since there are 4 aces in a single deck)

The odds of picking an ace or a king is:

8/52 (since there are 4 aces and 4 kings in a single deck, 4+4=8_

8/52 can be simplified to 2/13 

Answer=2/13
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Write a quadratic function to model the graph to the right
Komok [63]

Answer:

y = x² + 2x + 5

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here the vertex = (- 1, 4), thus

y = a(x + 1)² + 4

To find a substitute (0, 5) a point on the graph into the equation

5 = a(0 + 1)² + 4

5 = a + 4 ( subtract 4 from both sides )

a = 1, thus

y = (x + 1)² + 4 ← expand and simplify

  = x² + 2x + 1 + 4

  = x² + 2x + 5

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3 years ago
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Natasha_Volkova [10]
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The sequence is 12, 6, 3, 3/2
8 0
4 years ago
Solve the proportion <br> 7/5=x/3
kumpel [21]

Start with

\dfrac{7}{5}=\dfrac{x}{3}

Multiply both sides by 3:

\dfrac{21}{5}=x

Recall that 21/5=4.2 to claim the correct answer.

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3 years ago
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Write 3p^2 without exponents.​
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3 years ago
The picture shows the footprints of a man walking. The pace length P is the distance between the rear of two consecutive footpri
Rina8888 [55]

Bernard’s walking speed is 140 meters per minute

Bernard’s walking speed is 8.4 kilometers per hour

Step-by-step explanation:

The pace length P is the distance between the rear of two consecutive footprints

The formula, n P = 140, gives an approximate relationship between n and P where,

  • n = number of steps per minute
  • P = pace length in meters
  • Bernard knows his pace length is 0.80 meters
  • The formula applies to Bernard’s walking

We need to calculate Bernard’s walking speed in meters per minute and in kilometers per hour

∵ n = number of steps per minute

∴ n unit is number / minute

∵ P = pace length in meters

∴ P unit is meter

- That means n P unit is meters/minute

∴ n P represents the speed in meters per second

∵ The formula applies to Bernard’s walking

∵ His pace length is 0.80 meters

∵ n P = 140

∴ n(0.8) = 140

- Divide both sides by 0.8

∴ n = 175

- That means he moves 175 steps per minute

∵ The distance he walks in minute = 175 × 0.8 = 140 meters/minute

∴ His speed is 140 meters per minute

Bernard’s walking speed is 140 meters per minute

∵ 1 km = 1000 m

∵ 1 hour = 60 minutes

- Divide the meters by 1000 and the minute by 60 to change

   from meters per minute to kilometers per hour

∴ His walking speed = \frac{140}{1000} ÷ \frac{1}{60}

- Change ÷ to × and reciprocal the fraction after the division sign

∴ His walking speed =  \frac{140}{1000} × \frac{60}{1} = 8.4 km/h

Bernard’s walking speed is 8.4 kilometers per hour

Learn more:

You can learn more about the speed in brainly.com/question/5461619

#LearnwithBrainly

7 0
4 years ago
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