Possibilities of outcomes:
5, 5, 5
5, 5, 4
P(sum at least 14) = P(5,5,4) + P(5,5,5)
= 1/4 x 1/4 x 3/20 + 1/4 x 1/4 x 1/4
1/40
Answer:
A. right 2, up 3
Step-by-step explanation:
We have that,
The function 
is transformed to 
.
We see that,
The function f(x) is translated 2 units to the right and 3 units upwards to obtain the function g(x).
So, the correct transformation is 'right 2, up 3'.
Hence, option A is correct.
Answer: The conditional statements are not in the correct form to make a conclusion using the law of syllogism. “If p, then q and if p, then r” cannot be used to draw a conclusion using the law of syllogism. The law of syllogism could be used if the hypothesis in the second statement was "if two pairs of congruent angles are formed."
Step-by-step explanation:
"If p, then q and if p, then r" cannot be used to draw a conclusion using the law of syllogism.
Neither of the conclusions of the conditional statements are the hypothesis of the other.
"If two pairs of congruent angles are formed" could be the hypothesis of the second statement.
** Both can be used to answer the question :)
Answer: 2
<u>Explanation:</u>
A pond had 60 fish but 10 were added so now the pond has 70 fish.
The probability of choosing a carp is 1/2 so 
= 35 are now carp.
There were 27 carp and now there are 35 carp so 8 carp were added.
10 fish were added and 8 of them were carp so 2 of them were tench.
Answer:
100
Step-by-step explanation:
start with what's in the parenthesis':
8 (9.75 - 3.25) + 12 x 4 = 8 (6.50) + 12 x 4
then take the number outside of the parenthesis' time the number inside of them:
8 (6.50) + 12 x 4 = 52 + 12 x 4
now, take the product of the two number on the right side of the addition sign:
52 + 12 x 4 = 52 + 48
finally, add the final two numbers together:
52 + 48 = 100
