Answer:
32 cartons
Step-by-step explanation:
Total sets needed
48 + 43 + 46 + 50 = 187
Cartons needed
187 / 6 = 31 1/6
need 32 cartons
Answer:
Part 1: 5pi/6. Part 2: 10pi/3
Step-by-step explanation:
There are 60 minutes in an hour, and there are 360⁰ in a circle, so for every one minute that passes that is 6⁰ being passed.
From the time 25 to 50 is 25 minutes, which is also 150⁰.
To convert from degrees to radians you have to multiply 150⁰ by pi/180⁰ this turns into 5pi/6.
To find how far the tip of the clock moved you have to use arc length, which is arc length=radius×angle in radians.
we know that radius is 4, because thats the length of the minute hand times the degrees in radians which is 5pi/6.
4×5pi/6=20pi/6
this reduces to
10pi/3 which is how far the minute hand traveled.
Answer: Fourth Choice. 66
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
<u>Given information</u>
n = 3
<u>Given expression</u>
6 (n² + 2)
<u>Substitute values into the expression</u>
=6 (3² + 2)
<u>Simplify exponents</u>
=6 (9 + 2)
<u>Simplify values in the parentheses</u>
=6 (11)
<u>Simplify by multiplication</u>
=
Hope this helps!! :)
Please let me know if you have any questions
When dealing with a pool of data, the field of study is called statistics. This refers to the study of sample data and how they correlate it with the overall trend of the population. By doing this, they use terms that can best represent the sample data. These three are the most common:
1. Mean - this is the arithmetic average of the data
Mean = (<span>8+41+25+9+22+36+24+13+25+28)/10 = 23.1
2. Mode - this is the most frequent data point that can occur. In this case, the mode is 25 because it occurred twice.
3. Median - this is the middle of the sample data arranging it from least to greatest. In this case: 8, 9, 13, 22, 24, 25, 25, 28, 36, 41. The middle number is 25. Thus, the median is 25.</span>