The answer is
Let's build the expression piece by piece, translating sentences into formulas:
"3/5 times..."
"5 less than a number..."
So, the first block becomes
"3/5 times 5 less than a number..."
"...is no more than 27"
So, putting the pieces together, you have the answer
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.
Angelo bought 14 apples and 6 bananas
<em><u>Solution:</u></em>
Let "a" be the number of apples bought
Let "b" be the number of bananas bought
Cost of 1 apple = $ 0.50
Cost of 1 banana = $ 0.75
<em><u>He bought 20 pieces of fruit. Therefore,</u></em>
number of apples bought + number of bananas bought = 20
a + b = 20 -------- eqn 1
<em><u>He spent $ 11.50. Therefore, we frame a equation as:</u></em>
number of apples x Cost of 1 apple + number of bananas x Cost of 1 banana = 11.50
0.50a + 0.75b = 11.50 ------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
From eqn 1,
a = 20 - b ------ eqn 3
<em><u>Substitute eqn 3 in eqn 2</u></em>
0.50(20 - b) + 0.75b = 11.50
10 - 0.5b + 0.75b = 11.50
0.25b = 11.50 - 10
0.25b = 1.5
Divide both sides of equation by 0.25
<h3>b = 6</h3><em><u>Substitute b = 6 in eqn 3</u></em>
a = 20 - 6
<h3>a = 14</h3>Thus he bought 14 apples and 6 bananas