Answer:
I'm sorry
Step-by-step explanation:
I don't know the answer
Answer:
Each fraction is greater than the previous fraction.
Step-by-step explanation:
Every statement is true except, the one that says "Each fracton is greater than the previous fraction." This statement is not true. I know it looks like it, but let's think about it. Each fraction is equivalent to 2/3, which means they are technically equal to each other. So that means that each fraction is not greater than the previous one. This means that the statement "Each fraction is equal to the previous fraction in the pattern multiplied by 2/2" is a true statement.
2/3 x 2/2 = 4/6
4/6 x 2/2 = 8/12
8/12 x 2/2 = 16/24
16/24 x 2/2 = 32/48
So that means that the next fraction in the pattern is indeed 32/48, making the last statement true.
Answer:
12 < x
Step-by-step explanation:
In writing 12 less than a number x, the expression, 12 - x is wrong because "less than" is not the same thing as "minus" (-). Rather, the sign, "<" should have been used as follows:
12 < x.
Answer:
And we can find this probability with the normal standard distirbution or excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the lenghts of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the normal standard distirbution or excel and we got:
A straight line equals 180 degrees, so the 3 angles in the picture need to equal 180.
X + 90 + 25 = 180
x +115 = 180
Subtract 115 from both sides:
x = 65