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Lelu [443]
3 years ago
8

When randomly choosing two cards from a standard deck of cards without replacement, what is the probability of choosing a number

card and then an ace? (Remember: standard deck has 52 cards, with 4 aces and 12 face cards)
Question 6 options:

12/221


3/169


4/221


9/169
Mathematics
1 answer:
MAXImum [283]3 years ago
3 0
The correct answer is 12/221.

To find this, we need to find the chance of each event happening and then multiply the two fractions together.

The chance of drawing a number card is 36/52.

The chance of drawing an ace (after drawing a number card) would be 4/51.

36/52 x 4/51 = 12/221
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GIVING BRAINLIST Use the number line to answer the question. Each tick represents 1 unit.
vivado [14]
The answer is p , merry Christmas
4 0
3 years ago
Given: the function defined by f(x)=3x^2-4 Which statement is true? 1. f(0) = 0 2. f(-2) = f(2) 3. f(5)+ f(2) = f(7) 4. f(5) x f
sergeinik [125]
f(x)=3x^2-4 \\ \Downarrow \\ f(0)=3 \times 0^2-4=0-4=-4 \\ -4 \not= 0 \\ f(0) \not= 0 \\
\hbox{statement 1 is false} \\ \\
f(-2)=3 \times (-2)^2-4 =3 \times 4-4=12-4=8 \\
f(2)=3 \times 2^2-4=3 \times 4-4=12-4=8 \\ 8=8
\\ f(-2)=f(2) \\
\hbox{statement 2 is true}

f(5)=3 \times 5^2-4=3 \times 25-4=75-4=71 \\ f(2)=8 \\
f(7)=3 \times 7^2-4=3 \times 49-4=147-4=143 \\
71+8 \not= 143 \\
f(5)+f(2) \not= f(7) \\ \hbox{statement 3 is false} \\ \\
f(5)=71 \\ f(2)=8 \\ f(10)=3 \times 10^2-4=3 \times 100-4=300-4=296 \\
71 \times 8 \not= 296 \\
f(5) \times f(2) \not= f(10) \\
\hbox{statement 4 is false}

Stamement 2. f(-2)=f(2) is true.
3 0
3 years ago
What is the volume of this rectangular pyramid?
kipiarov [429]
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7 0
3 years ago
What is the sum of the interior angles, each interior angle, the central angle, and each exterior angle of a pentagon, a hexagon
WITCHER [35]
<span>Sum of Interior Angles: Formula: (n-2) * 180
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-Hexagon: 720</span>°<span>
-Octagon: 900</span>°<span>
-Nonagon: 1260</span>°<span>
-Decagon: 1440</span>°<span>
-Dodecagon: 1800</span>°

Each interior Angle: Formula: [(n-2)*180] / n
-Pentagon: 108°
-Hexagon: 120°
-Octagon: 135°
-Nonagon: 140°
-Decagon: 144°
-Dodecagon: 150°

The sum of the exterior angles of each polygon stated above is equal to 360 degrees. Using the formula: (180-interior angle) * n

The central angle is formed by making a circle in the middle and divide it by the number of sides. Therefore, CA = 360 /n
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-Hexagon: 60°
-Octagon: 45°
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3 0
3 years ago
You have 40 minutes to exercise at the gym, and you want to burn 300 calories total using both machines. How much time should yo
FromTheMoon [43]

Answer

8(40-y) + 6y =300

320 - 8y + 6y =300

-2y=-20

y=10

This leaves x to be 30.

You should spend 30 minutes on machine 1 and 10 minutes on machine 2.

Step-by-step explanation:

4 0
2 years ago
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