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Sholpan [36]
3 years ago
7

One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen, an

d King only)?
A. 1/13

B. 1/4

C. 9/52

D. 3/13
Mathematics
1 answer:
DedPeter [7]3 years ago
5 0

Answer:

D, 3/13 simplified from 12/52

Step-by-step explanation:

the reason that it would be 3/13 is because its simplified from 12/52, which is 12 of the possibly of face cards over 52 the amount of cards in the deck, so the possibility was 12/52, but simplified would be 3/13 ! love you !

                     BE SAFE !!!!                      HOPE THIS HELPS!!!!

                                              <3 <3 <3 <3 <3

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A dump truck driver is delivering loads of sand for making sandbags to protect homes from flooding. Each load contains 12 m3 of
DaniilM [7]

Answer:

  57

Step-by-step explanation:

The volume of a cone is given by the formula ...

  V = (1/3)πr²h

For a pile with a radius of 8.5 m and a height of 9 m, the volume is ...

  V = (1/3)π(8.5 m)²(9 m) = 216.75π m³ ≈ 680.94 m³

Then the number of truckloads required to create that size pile will be ...

  (680.94 m³)/(12 m³/truck) = 56.745 trucks

Even a partial truck load entails another trip, so ...

  57 truck loads of sand are needed.

5 0
3 years ago
Which statement describes the mapping?
My name is Ann [436]

Answer:

(-1,1)(0,4)(2,7)(3,7)

Step-by-step explanation:

the arrows point from the x coordinate to the y coordinate in each in pair

4 0
3 years ago
Please simplify.....<br> Attached
Kazeer [188]

Answer:

your answer should be...

(B.) -18

Hope this helps!

7 0
3 years ago
Read 2 more answers
ZA and ZB are complementary angles. IfmZA = (x – 23)° and m
Reil [10]

Answer:

\huge\boxed{85\text{ degrees}}

Step-by-step explanation:

Complementary angles are two angles that add up to 90°.

We know the measurements of m∠ZA and m∠ZB, so their angle measures will add to 90°.

(x-23) + (2x+29) = 90

Let's simplify this equation so we have x on one side of the equation.

3x + 6 = 90\\\\3x = 84\\\\x = 28

Now that we know the value of x, we can substitute it inside the equation for m∠ZB (2x+29)

2(28)+29\\\\56+29=85

Hope this helped!

4 0
3 years ago
Read 2 more answers
Match the products of rational expressions with their simplest forms.
Alborosie
Lets simplify each one of the rational expressions using the product rule of exponents: a^n*a^m=a^{n+m} and the quotient rule of exponents: \frac{a^n}{a^m} =a^{n-m}.

1.  \frac{-3x^2}{2y^2} * \frac{y^2}{9x} =- \frac{x}{6} = \frac{-1}{6} x

2. \frac{5y^2}{10x^2} * \frac{4x^2}{y} =2y

3. \frac{-9y^2}{5x} * \frac{-10x^2}{3y} =6xy

4. \frac{14x^2}{5y} * \frac{-10y}{7x} =-4x

We can conclude that you should pair the rational expressions with their simplest form as follows:
6xy-----\ \textgreater \ \frac{-9y^2}{5x} * \frac{-10x^2}{3y}
\frac{-1}{6} x-----\ \textgreater \  \frac{-3x^2}{2y^2} * \frac{y^2}{9x}
-4x-----\ \textgreater \ \frac{14x^2}{5y} * \frac{-10y}{7x}
2y-----\ \textgreater \ \frac{5y^2}{10x^2} * \frac{4x^2}{y}
7 0
3 years ago
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