Answer:
x < -7
Step-by-step explanation:
2(4x + 1) < 3(2x - 3)
Distributive Property:
8x + 8 < 6x - 6
Subtract on Both Sides:
8x + 8 < 6x - 6
- 6x -6x
--------------------
2x + 8 < - 6
-8 -8
---------------
2x < -14
Divide on Both Sides:
2x < -14
--- ---
2 2
x < -7
Answer:
I believe it is 0.5
Step-by-step explanation:
If you flip a normal coin (called a “fair” coin in probability parlance), you normally have no way to predict whether it will come up heads or tails. Both outcomes are equally likely. There is one bit of uncertainty; the probability of a head, written p(h), is 0.5 and the probability of a tail (p(t)) is 0.5. The sum of the probabilities of all the possible outcomes adds up to 1.0, the number of bits of uncertainty we had about the outcome before the flip. Since exactly one of the four outcomes has to happen, the sum of the probabilities for the four possibilities has to be 1.0. To relate this to information theory, this is like saying there is one bit of uncertainty about which of the four outcomes will happen before each pair of coin flips. And since each combination is equally likely, the probability of each outcome is 1/4 = 0.25. Assuming the coin is fair (has the same probability of heads and tails), the chance of guessing correctly is 50%, so you'd expect half the guesses to be correct and half to be wrong. So, if we ask the subject to guess heads or tails for each of 100 coin flips, we'd expect about 50 of the guesses to be correct. Suppose a new subject walks into the lab and manages to guess heads or tails correctly for 60 out of 100 tosses. Evidence of precognition, or perhaps the subject's possessing a telekinetic power which causes the coin to land with the guessed face up? Well,…no. In all likelihood, we've observed nothing more than good luck. The probability of 60 correct guesses out of 100 is about 2.8%, which means that if we do a large number of experiments flipping 100 coins, about every 35 experiments we can expect a score of 60 or better, purely due to chance.
It looks like you're doing good with breaking-down the composite into digestible pieces. So, don't stress too much!
Keep in mind that the area for a 3D shape is Bh, where "B" is the area of a face & "h" is the height.
#5
Shape A is 3X4X9.
First, calculate the area of a face:
9X4= 36
Multiply by height:
36X3= 108
The process is the same with shape B.
3X4X8
Calculate area of face:
8X4= 32
Multiply by height:
32X3= 96
Now you add both areas:
108+96= 204 cubic feet
I think you're doing pretty good, just don't over think things too much. Try #8 with the similar process seen here. Just comment if you get stuck.
Hope this helps!
Answer:
The answer is option 1.
Step-by-step explanation:
Firstly, you have to elaborate the expression :
Next you have to take out the common factors and factorize it :
Answer: -8
Step-by-step explanation:
- 7(w+13)=35 [given]
- w+13=5 [divide both sides by 7]
- w = -8 [subtract 13 from both sides]
