Answer:
C
Step-by-step explanation:
In this question, we are asked to calculate the interquartile range of the speed values given in the question.
Firstly, we need to order the values of the speed from the lowest to the highest. That would be;
55 58 65 66 70 72 81
Now, we determine the first quartile position which is Q1. That would be (N+1)/2 where N is the number of data points which is 7 according to this question
We have (7 +1)/4= 8/4= 2
The value at the 2nd position counting from left is 58
For the third quartile , Q3, we have 3 * (N+1)/4 = 3 * 2 = 6
The value at the 6th position counting from left is 72
mathematically, the formula for the interquartile range is Q3 - Q1 = 72 - 58 = 14
Answer:
40 + 4.50x =112
4.5x = 72
x =16
Step-by-step explanation:
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Answer:
<h2>35 different ways</h2>
Step-by-step explanation:
Since there are 7 students in a classroom to fill a front row containing 3 seats, we will apply the combination rule since we are to select 3 students from the total number of 7 students in the class.
In combination,<em> if r objects are to be selected from a pool of n objects, this can be done in nCr number of ways.</em>
<em>nCr = n!/(n-r!)r!</em>
Selecting 3 students from 7 students to fill the seats can therefore be done in 7C3 number of ways.
7C3 = 7!/(7-3)!3!
7C3 = 7!/(4)!3!
7C3 = 7*6*5*4!/4!*3*2
7C3 = 7*6*5/6
7C3 = 7*5
7C3 = 35
<em>Hence there are 35 different ways that the student can sit in the front assuming there are no empty seats.</em>
<u>Given</u><u> </u><u>that</u><u> </u>
- Height of container is 20 inches .
- Radius of base is 10 inches .
<u>To</u><u> </u><u>Find</u><u> </u>
<u>Formul</u><u>a</u><u> </u>
- Volume of cylinder is πr²h
<u>Solu</u><u>tion</u><u> </u>
→ Volume = πr²h
<u>Usin</u><u>g</u><u> </u><u>π</u><u> </u><u>as</u><u> </u><u>3</u><u>.</u><u>1</u><u>4</u><u> </u>
→ 3.14 × 10 × 10 × 20 = Volume
→ 314 × 20 = Volume
→ <u>6</u><u>2</u><u>8</u><u>0</u><u> </u><u>inches²</u><u> </u><u>is</u><u> </u><u>the holding capacity of the</u><u> container</u><u>. </u><u> </u>