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Butoxors [25]
3 years ago
7

A card is drawn from a standard deck of 52 cards. What is the theoretical probability, as a decimal, of drawing an ace? Round th

e decimal to the nearest hundredth. (Hint: A standard deck of 52 cards contains 4 aces.)
Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0

|\Omega|=52\\ |A|=4\\\\ P(A)=\dfrac{4}{52}=\dfrac{1}{13}\approx0.08

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a. Portrays the case of two triangles being equal if two angles and the line between them are equal

b. The case of two triangles being equal when two of their lines are equal, compared 2 by 2 and the angles between them are equal

c. The case of two triangles being equal when all lines are equal, compared 2 by 2

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A company wants to decrease their energy use by 16%. If their electric bill is currently $1,900 a month, what will their bill be
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Step-by-step explanation:

5 0
3 years ago
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The diagram shows a straight line ABCD.
Nady [450]

Answer:

B (0, 285 ) , C (380, 0 )

Step-by-step explanation:

the first step is to obtain the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = A(- 260, 480 ) and (x₂, y₂ ) = D (620, - 180 )

m = \frac{-180-480}{620-(-260)} = \frac{-660}{620+260} = \frac{-660}{880} = - \frac{66}{88} = - 0.75 , then

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to find c substitute either of the 2 points into the partial equatio

using (620, - 180 ) , then

- 180 = - 465 + c ⇒ c = - 180 + 465 = 285

So y- intercept is B (0, 285 )

y = - 0.75x + 285 ← equation of line

to find the x- intercept , let y = 0 in the equation and solve for x

0 = - 0.75 + 285 ( subtract 285 from both sides )

- 285 = - 0.75x ( divide both sides by - 0.75 )

380 = x

x- intercept is C (380, 0 )

4 0
2 years ago
Read 2 more answers
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