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FrozenT [24]
4 years ago
13

#10-1 : What is the probability of randomly choosing a diamond card from a regular deck of 52 cards? What is the probability of

choosing a club?
Mathematics
1 answer:
Alchen [17]4 years ago
3 0

\huge{\boxed{\frac{1}{4}}}\ \ \huge{\boxed{\frac{1}{4}}}

There are 13 of each suit in a deck of 52 cards.

This means the probability of drawing a diamond card is \frac{13}{52}. You can divide the numerator and denominator each by 13 to simplify. \frac{13}{52} \div \frac{13}{13} = \boxed{\frac{1}{4}}

Since there are the same number of clubs as there are diamonds, the probabilities are the same.

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1 mile is equal to 5280 feet.

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Please only answer if you can help!!
Masteriza [31]

Answer:

Shifted by 6 units left on the x-axis.

Step-by-step explanation:

Given function is,

f(x) = 5ˣ + 1

After transformation, this function becomes g(x) = 5^{(x+6)}+1

Here, g(x) = f(x + 6)

By the rule of transformation,

Function 'f' has been shifted by 6 units left on the x-axis to form a new function 'g'.

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Debbie wants to decorate 3 lampshade. The diameter of the top of each lampshade is 8 inches and the diameter of the bottom is 12
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8 0
4 years ago
Which expression is equivalent to 4h ÷ 5? A. 5h/4 B. 45/h C. 54/h D. 4h/5
sweet [91]

Answer:  D. \frac{4h}{5}


Step-by-step explanation:

1. You have the following expression given in the problem above:

4h÷5

2. By definition, two expression are equivalent when they are the same even though they they are written in a different form.

3. Keeping this on mind, you can rewrite the division of those two numbers as a fraction, as you can see below:

\frac{4h}{5}

3. Then,  \frac{4h}{5} is the equivalent expression to 4h ÷ 5.


3 0
3 years ago
The table represents a linear function. find the values of a,b, and c. Show your work.
viva [34]

Answer:

The values of a , b , c are ⇒ a = 1 , b = 10 , c = 9

Step-by-step explanation:

* Lets describe the meaning of the linear function

- Linear function is represented by a line graphically

- The equation of the line is y = mx + c, where m is the slope

  of the line and c is the y-intercept (the point of intersection

  between the line and the y-axis is (0 , c))

- m = change of y/change of x

- We can find m from any two points on the line

* Lets use m to find a, b and c

- Use the points (3 , 8) and (5 , 9) to find m

∵ m = (y2 - y1)/(x2 - x1)

∴ m = (9 - 8)/(5 - 3) = 1/2

- Find a by using points (a , 7) and (3 , 8) ⇒ (or (5 , 9))

∵ m = (8 - 7)/(3 - a) = 1/2

∴ 1/(3 - a) = 1/2  ⇒ by using cross multiplication

∴ 3 - a = 2 ⇒ subtract 3 from both sides

∴ -a = -1 ⇒ × -1 both sides

∴ a = 1

- Find b by using points (5 , 9) and (7 , b) ⇒ (or (3 , 8))

∵ m = (b - 9)/(7 - 5) = (b - 9)/2

∴ (b - 9)/2 = 1/2  ⇒ by using cross multiplication

∴ 2(b - 9) = 2 ⇒ open the bracket

∴ 2b - 18 = 2 ⇒ add 18 to both sides

∴ 2b = 20 ⇒ ÷ 2

∴ b = 10

- Find b by using points (5 , 9) and (c , 11) ⇒ (or (3 , 8))

∵ m = (11 - 9)/(c - 5) = 2/(c - 5)

∴ 2/(c - 5) = 1/2  ⇒ by using cross multiplication

∴ c - 5 = 4 ⇒ add 5 to both sides

∴ c = 9

* The values of a , b , c are ⇒ a = 1 , b = 10 , c = 9

6 0
3 years ago
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