Answer:
IQR = 6
Step-by-step explanation:
Given:
The given set of data is:
40 41 42 43 44 45 46 47 48 49 50
Number of terms, 
Therefore, the median is given as 
term which is the sixth term. Median = 45
(40 41 42 43 44) <u>45</u> (46 47 48 49 50 )
Now, we find the median of the lower half (
) and upper half (
)of the data that are before and after the median.
The lower half of the data has the values 40 41 <u>42</u> 43 44.
Number of terms are 5. So, median is the third term which is, 
The upper half of the data has the values 46 47 <u>48</u> 49 50.
Number of terms are 5. So, median is the third term which is, 
Now, IQR is given as the difference of upper half median and lower half median.
Answer:
-4 and 9
Step-by-step explanation:
we have
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
therefore
The equation is true for -4 and 9
Answer:
16
Step-by-step explanation:
Pythagoras theorem states that:
In a right-angled triangle,the hypotenuse , altitude and base are related as:
In this question:
Hypotenuse = 20 units
Base = 12 units
Altitude = w = ?
By Pythagoras theorem:
Hence w = 16 units.
Answer:
67.5 ft
Step-by-step Explanation:
==>Given:
∆MAB and ∆MNP, such that:
AB is parallel to NP
MN and MP are transversal
MN = 71.5 ft
MP = 97.5 ft
AN = 22ft
MA = MP - AN = 71.5 - 22 = 49.5 ft
MB = x
==>Required:
Value of x
==>Solution:
From the figure given, since AB is parallel to NP, and MN and MP are transversal, thus:
<MAB is congruent to <MNP
<MBA is congruent to <MPN
This implies that ∆MAB is similar to ∆MNP
Therefore, the ratio of their corresponding sides would be the same, and also proportional.
Thus,
MA/MN = MB/MP
49.5/71.5 = x/97.5
=>Cross multiply to solve for x
49.5 × 97.5 = x × 71.5
4,826.25 = 71.5x
=>Divide both sides by 71.5
4,826.25/71.5 = x
67.5 = x
x = 67.5 ft
