Answer:
Step-by-step explanation:
Given that two fair dice are rolled 3 times and the sum of the numbers that come up is recorded.
a) The sum is 4 on each of the three rolls.
(1,3) (2,2) (3,1) HEnce for one throw prob = 3/36 =1/12
Prob for getting same sum 4 in 3 rolls = 
(since each trial is independent)
b) Prob sum =4 in exactly 2 rolls
= 
=
Never true. Vertical angles are equal to each other, not adjacent to each other.
Answer:
a=1
Step-by-step explanation:
Because x-1 is factor of f(x)
for x1=1, f(1)=0, then
f(1)=5*1^3+a*1^2-4*1-2=0
5*1+a*1-4-2=0
5+a-6=0
a-1=0
a=1
Answer:
Answer number c (0.3 liters per hour is the average rate)
Step-by-step explanation:
<span>Solve for d.
5+d>5−d Subtract 5 from both sides of this inequality:
d>d There is no value for d that satisfies this inequality.
No value can be greater than itself.
</span><span>Solve for p.
2p+3>2(p−3) Multiply this out: 2p+3>2p-6
</span><span> Subtr 3 from both sides: 2p> 2p-9
This is equivalent to 2p+9>2p.
We could subtr. 2p from both sides: 0>-9.
0> -9 is always true. Thus, the given inequality has infinitely many solutions.
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