Answer:
Therefore, we conclude that the statement in (A) is incorrect.
Step-by-step explanation:
We have the following sentences:
A) If the probability of an event occurring is 1.5, then it is certain that event will occur.
B) If the probability of an event occurring is 0, then it is impossible for that event to occur.
We know that the range of probability of an event occurring is in the segment [0, 1]. In statement under (A), we have the probability that is equal to 1.5.
Therefore, we conclude that the statement in (A) is incorrect.
Answer:
2x + 8x
10x
Step-by-step explanation:
Open the brackets and multiply x inside.
<span>If f(x) = 2x + 3 and g(x) = (x - 3)/2,
what is the value of f[g(-5)]?
f[g(-5)] means substitute -5 for x in the right side of g(x),
simplify, then substitute what you get for x in the right
side of f(x), then simplify.
It's a "double substitution".
To find f[g(-5)], work it from the inside out.
In f[g(-5)], do only the inside part first.
In this case the inside part if the red part g(-5)
g(-5) means to substitute -5 for x in
g(x) = (x - 3)/2
So we take out the x's and we have
g( ) = ( - 3)/2
Now we put -5's where we took out the x's, and we now
have
g(-5) = (-5 - 3)/2
Then we simplify:
g(-5) = (-8)/2
g(-5) = -4
Now we have the g(-5)]
f[g(-5)]
means to substitute g(-5) for x in
f[x] = 2x + 3
So we take out the x's and we have
f[ ] = 2[ ] + 3
Now we put g(-5)'s where we took out the x's, and we
now have
f[g(-5)] = 2[g(-5)] + 3
But we have now found that g(-5) = -4, we can put
that in place of the g(-5)'s and we get
f[g(-5)] = f[-4]
But then
f(-4) means to substitute -4 for x in
f(x) = 2x + 3
so
f(-4) = 2(-4) + 3
then we simplify
f(-4) = -8 + 3
f(-4) = -5
So
f[g(-5)] = f(-4) = -5</span>
Answer:
£2112
Step-by-step explanation:
To find Gavin's share, sum the parts of the ratio, 4 + 1 = 5 parts
Divide the win by 5 to find the value of one part of the ratio.
£8800 ÷ 5 = £1760 ← value of 1 part of ratio, thus
4 parts = 4 × £1760 = £7040 ← Gavin's share
Now repeat the process with the ratio for his family
1 + 6 + 3 = 10 parts
£7040 ÷ 10 = £704 ← value of 1 part of the ratio, thus
6 × £704 = £4224 ← wife's share
3 × £704 = £2112 ← son's share
Difference = £4224 - £2112 = £2112
Thus his wife gets £2112 more than the son
Answer:
one bag of popcorn costs - 5
Step-by-step explanation:
