D. The greatest a can be is 9 and the greatest b can be is 4. a+b= 13 which is less than 20
Answer: 59 is your answer.
Step-by-step explanation:
Divide and multiply.
Subtract and compare. Be sure the number is less than the divisor.
Bring down the next number. Divide and multiply.
Subtract and compare. Be sure the number is less than the divisor.
Answer: Our required probability is 0.3387.
Step-by-step explanation:
Since we have given that
Number of red cards = 4
Number of black cards = 5
Number of cards drawn = 5
We need to find the probability of getting exactly three black cards.
Probability of getting a black card = 
Probability of getting a red card = 
So, using "Binomial distribution", let X be the number of black cards:

Hence, our required probability is 0.3387.
Answer:

Step-by-step explanation:
The equation of the line through the point
&
can be represented by:

Making m the subject;

∴
we need to carry out the equation of the line through (0,1) and (1,2)
i.e
y - 1 = m(x - 0)
y - 1 = mx
where;

m = 1
Thus;
y - 1 = (1)x
y - 1 = x ---- (1)
The equation of the line through (1,2) & (4,1) is:
y -2 = m (x - 1)
where;


∴

-3(y-2) = x - 1
-3y + 6 = x - 1
x = -3y + 7
Thus: for equation of two lines
x = y - 1
x = -3y + 7
i.e.
y - 1 = -3y + 7
y + 3y = 1 + 7
4y = 8
y = 2
Now, y ranges from 1 → 2 & x ranges from y - 1 to -3y + 7
∴



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Answer:
12
Step-by-step explanation:
if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.