I attached the answer and explanation below
Answer:

Step-by-step explanation:
7x-26<-5(2-3x)
first write out the equation
7x-26<-10 +15x
then solve the -5(2-3x)
by multiplying -5 by 2 and -5 by 3x which will give the answer -10 and 15x
7x-15x<-10+26
Now put the numbers with X first and since we moved the (+15x) into the otherside we change its sign to (-15x)
and because we put the (-26) into the otherside we do the same thing and change it into (+26)
-8x<16
Now we combine the same numbers so 7x-15x and -10+26
Next we divide both sides by (-8)
so (-8x÷-8) and (16÷-8)
and because we divided with a negative number (-8)
and we have an inequality( < ) we flip the sign from smaller than to greater than.
and so the final answer is x>2
or x is greater than 2
Answer:
And if we solve for a we got
And the limits for this case are: (214.4; 295.4)
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 annual precipitation of a population, and for this case we know the distribution for X is given by:
Where
and
The confidence level is 95.44 and the signficance is
and the value of
. And the critical value for this case is 
Using this condition we can find the limits
And if we solve for a we got
And the limits for this case are: (214.4; 295.4)
False.
Here is a counterexample.
3/4= 0.75
3 and 4 are both integers but the quotient is 0.75 which is not an integer. 0.75 is a rational number.
We're going to use the equation given but let's first make sure we understand what the equation IS saying:
Area of a kite= [(1st diagonal) × (2nd diagonal)]/2
Now, let's find the 2 diagonals. In the case of kite shapes one of the diagonals is the line that goes from W to Y and the other is the line going from X to Z. In a kite they will always cross (no matter their lengths).
Now that we know the diagonals we can add the lengths that are given for each line to know what to multiply.
Line W to Y: 20+12= 32
Line X to Z: 12+12= 24
Now let's plug these numbers into the equation (it doesn't matter the order of the diagonals because we're just gonna be multiplying them either way!)
So...
(32×24)/2= 384 units squared (because it is area)