Answer:
1. isosceles trapezoid- a trapezoid that has two congruent sides (other than the bases)
2. triangle- a polygon with three sides
3. line symmetry- property where a figure can be folded along a line to create two congruent mirror images
4. line of symmetry- the line which divides a figure into two congruent mirror images
5. rotational symmetry- property where a figure can be rotated less than 360° and still look the same
6. trapezoid- a quadrilateral with one pair of parallel sides
<span>4, 8, 12, 16, 24, 48</span>
No.
.. √162 = (√2)*(√81)
.. √81 +√81 = 2√81 = √324
Square root is a non-linear function. sqrt(a +b) ≠ sqrt(a) +sqrt(b)
Since in this case we are
only using the variance of the sample and not the variance of the real population,
therefore we use the t statistic. The formula for the confidence interval is:
<span>CI = X ± t * s / sqrt(n) ---> 1</span>
Where,
X = the sample mean = 84
t = the t score which is
obtained in the standard distribution tables at 95% confidence level
s = sample variance = 12.25
n = number of samples = 49
From the table at 95%
confidence interval and degrees of freedom of 48 (DOF = n -1), the value of t
is around:
t = 1.68
Therefore substituting the
given values to equation 1:
CI = 84 ± 1.68 * 12.25 /
sqrt(49)
CI = 84 ± 2.94
CI = 81.06, 86.94
<span>Therefore at 95% confidence
level, the scores is from 81 to 87.</span>
Answer: 12 ÷ 1 3/5
The problem is asking us to find how many days food would last. Since the food shelter uses 1 3/5 each day, the 12 bags of food would be split into 1 3/5 they use each day.
