If one is to choose among given choices and the order is not important, we use the concept of combination. First, we calculate for the sample space or number available since there is a total number of 12 electives and a student may choose 2 out of them.
S = 12C2
That is "the sample space is equal to combination of 12 taken 2". The answer to this is equal to 66.
Next, we determine the number of outcomes. The equation will be,
O = (5C1) x (3C1)
That is "outcome is equal to combination of 5 taken 1 times combination of 3 taken 1". This is equal to 15. The probability is equal to,
P = O/S
Substituting,
P = (15/66) = 0.227270
The answer to this item is the third choice.
Answer:
95cm
Step-by-step explanation:
45cm is the initial height
each year grow 10cm
growing time 5 years
45+(10 × 5)=95 cm
Hey there!
Each step is three feet. This can be represented by 3s= feet. We can plug that in to figure out our side lengths.
20(3)=60
40(3)=120
Now we can multiply these two together to get the area.
120(60)= 7,200
Therefore, his backyard is about 7,200 square feet.
I hope this helps!
Answer:
W= 27 k J
Step-by-step explanation:
Given that
mass ,m = 90 kg
Height , h= 30 m
angle , θ = 25°
The work done by escalator is given as follows
W = m g h
Work done by escalator does not depends on the angle ,it depends only on height.
Now by by putting the values in the above equation we get
W= 90 x 10 x 30 J ( take g = 10 m/s² )
W= 27000 J
W= 27 k J
Therefore work done by escalator will be 27 k J.
Answer:
Equal df
Step-by-step explanation:
Given that a chi square test for goodness of fit is used to examine the distribution of individuals across three categories,
Hence degree of freedom = 3-1 =2
Similarly for a chi-square test for independence is used to examine the distribution of individuals in a 2×3 matrix of categories.
Here degree of freedom = (r-1)(c-1) where r = no of rows and c =no of columns
= (2-1)(3-1) = 2
Thus we find both have equal degrees of freedom.
