Answer:
x=-1
Step-by-step explanation:
2x+3/4(4x+16)=7
2x+(3x12)=7--->distributive property
2x+3x+12=7
5x+12=7--->addition property
5x=-5--->subtraction peroperty
x= -1---?division property
Answer:
-6x^2+x+8
Step-by-step explanation:
Add -1 and 9 because they are the only like terms
Answer:
He is incorrect in this statement because 38 and 40 both have factors, other than 1 x itself. Prime numbers are numbers the only have 1 factor pair, and that is 1 x itself. Factors are the numbers you multiply to get the end result, and an example is 10x4=40. The factors of 40 are 8x5, 4x10, 2x20, and of course, 1x40. The factors of 38 are 2x19, and 1x38.
Answer:
1. 40%
2. The theoretical probability is 3% greater than the experimental probability.
Step-by-step explanation:
We are informed that a number cube is rolled 20 times and the number 4 is rolled 8 times. The experimental probability of rolling a 4 is;
(the number of times a 4 was rolled)/(total number of rolls)
8/20 = 0.4
0.4*100 = 40%
The experimental probability of obtaining at least one tails, one or more tails, is represented in mathematical notation as;
P(HT or TH or TT)
The above events are mutually exclusive, thus;
P(HT or TH or TT) = P(HT) + P(TH) + P( TT)
= (22+34+16)/(28+22+34+16)
= 0.72 = 72%
On the other hand, the theoretical probability of obtaining at least one tails,
P(HT or TH or TT) = 3/4
= 75%
This is because there is at least one tail in 3 out of 4 possible outcomes.
Therefore, it is true to say that the theoretical probability is 3% greater than the experimental probability.
Since 18 does not have a number that when multiplied by itself equal 18, then it will be a decimal number. You can tell the closest whole number by seeing what is the closest square. In this case we know that 16 is 4 times 4 and the next one would be 5 times 5 to equal 25, so the whole number would be 4.
Now, the easiest way to do this is to get you calculator and take the square root of 18 to get 4.242641. The problem wants it to be to the nearest tenth so 4.2 is your answer. On a number line, if it is in four parts, you will plot it just before the first little line.
Hope this helps! If you are using more small lines in you number line, comment me below and I would be happy to lead you in the right direction.
