Answer:
Step-by-step explanation:
In a deck of cart, we have:
a = 4 (aces)
t = 4 (three)
j = 4 (jacks)
And the total number of cards in the deck is
n = 52
So, the probability of drawing an ace as first cart is:
At the second drawing, the ace is not replaced within the deck. So the number of cards left in the deck is
Therefore, the probability of drawing a three at the 2nd draw is
Then, at the third draw, the previous 2 cards are not replaced, so there are now
cards in the deck. So, the probability of drawing a jack is
Therefore, the total probability of drawing an ace, a three and then a jack is:
Answer:
True
Step-by-step explanation:
- 4 ÷ 7 = 0.5714
- 18 ÷ 31.5 = 0.5714
- Because they are the same result, the two fractions are equal. Therefore, the equation is true.
I hope this helps!
The equation is 76*120/3.
76*120/3
9,120/3
3,040
The car will travel 3,040 yards in 120 seconds at that speed.
112 centimeters squared
Explanation:
The formula for area of a triangle is:
1/2 • base • height
REMEMBER, use the height that is perpendicular to the base. If not, your answer will be wrong
Use formula with given dimension of this triangle:
1/2 • 14 • 16 = 112
FINAL ANSWER WITH UNIT OF MEASURMENT:
112 centimeters squared
Have a nice day, hope this helps!
Answer:
The second option, y + 2x = 10, is the correct answer for this problem.
Step-by-step explanation:
There are many different ways to solve this problem. I am going to pick a point represented in the table and plug its values into the given equations to find the correct response.
From the table, we can conclude that the point (0,10) must satisfy the equation. This means that if we plug in 0 for x and 10 for y into the equations below, we should get a true statement.
y - 2x = 14
10 - 2(0) = 14
10 = 14
Since 10 is not equal to 14, we know that the first option is incorrect.
y + 2x = 10
10 + 2(0) = 10
10 = 10
Therefore, the second option may be our answer, but we should make sure the other options are incorrect.
2y + x = 23
2(10) + 0 = 23
20 = 23
Since 20 is not equal to 23, we know that the third option is incorrect.
y + x = 11
10 + 0 = 11
Since 10 is not equal to 11, we know that the fourth option is also incorrect.
Since the second option is the only answer that yielded a true statement when a point from the table was plugged in, we can conclude that the second option (y + 2x = 10) is the answer. If you wanted to make sure, you could plug in each of the points represented in the table and confirm that they too make the equation true.
Hope this helps!
