Answer:
-1.683
Step-by-step explanation:
Given :
Group 1 :
x1 = 667 ; n1 = 10 ; s1 = 20
Group 2 :
x2 = 679 ; n2 = 14 ; s2 = 15
The test statistic assuming equal variance :
x1 - x2 / √[Sp² * (1/n1 + 1/n2)]
sp² = [(n1 - 1)*s1² + (n2 - 1)*s2²] ÷ (n1 + n2 - 2)
Sp² = [(10 - 1)*20² + (14 - 1)*15²] = 296.59
Test statistic =
(667 - 679)/ √[296.59 * (1/10 + 1/14)]
-12 / 7.1304978
Test statistic = - 1.682
A parallelogram has two pairs of opposite sides. A trapezoid only has one pair of parallel sides.
Answer:
c. 50kg = 50,000g
Step-by-step explanation:
We have to solve these following rule of three to see which of the following is a correct conversion of 50kg.
a)
Each kg has 1000g
So
1kg - 1000g
50kg - xg
x = 50*1000
x = 50,000g
Conversion a) is wrong
b)
Each kg has 1000000mg
So
1kg - 1000000g
50kg - x mg
x = 50*1000000
x = 50,000,000 mg
Conversion b) is wrong
c)
In a), we have already converted 50kg to g. We have verified that 50kg = 50,000g. So c. is correct
d)
In b), we have already converrted 50kg to mg. We have verified that 50kg = 50,000,000g. So d. is wrong
Answer:
5/11
explanation
Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.
total
=
5
+
3
+
2
+
1
=
11
So there are
11
marbles total. The probability that we pick one of the
3
green marbles out of the
11
is simply that ratio:
P
green
=
3
11
Same idea for yellow:
P
yellow
=
2
11
The probability of picking either of these colors is simply the sum of their probabilities.
P
green or yellow
=
P
green
+
P
yellow
=
3
11
+
2
11
=
5
11
