c.
The number of students is represented with S, to show 2 times that number it is shown as 2S, a less than is word problem jargon for minus. So it is 2S-21.
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)
Answer: b. 0.98
Step-by-step explanation:
The formula to find the maximum error of the estimated mean :
(1)
, where 
= standard deviation
n= Sample size
z* = Critical z-value.
As per given , we have
n=100
Critical value for 95% confidence interval = z*=1.96
Put these values in the formula (1), we get
Hence, the maximum error of the estimated mean quality for a 95% level of confidence is 0.98.
Therefore , the correct answer is b. 0.98 .
Answer:
Step-by-step explanation:
If the smallest number is 'x', then the other number = x +1
x*(x+1)= 420
Use distributive property
x*x + x*1 = 420
x² + x - 420 =0 ------> this is the required quadratic equation.
