Answer:
26 ft height
Step-by-step explanation:
The distance between the streetlamp and the tip of his shadow is 9 + 13 = 22 ft.
A rectangle triangle is formed in which one side is 22 ft long and the other side is the streetlamp height. The angle between the 22 ft side and the hypotenuse is 50°. From tangent definition:
tan(50°) = (streetlamp height)/(22 ft)
tan(50°) * (22 ft) = streetlamp height
26 ft = streetlamp height
The least common multiple that is divisible by both a and b is the smallest positive integer. The LCD between these two fractions 4/9 and 2/3 is 9.
The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
The LCD of two fractions is the LCM of the denominator of the fractions.
Since the denominator of the two fractions is 3 and 9. Therefore, the LCM of the two denominators are,
LCM = 9
Hence, the LCD between these two fractions 4/9 and 2/3 is 9.
Learn more about Least Common Multiple here:
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Answer: Least common denominator = 9
Step-by-step explanation:
The LCD is the lowest multiple of the denominators
9 is a multiple of 1 × 9 or 3 × 3. So since 3 is the denominator of 2/3, 9 is the LCD.
2/3 is equivalent to 6/9.
Answer:
B. Cluster Sampling
D. Stratified Sampling
Step-by-step explanation:
B. Cluster Sampling: In cluster sampling, you divide your population (in this case, the students) into clusters (the sections) and randomly select some of those clusters for your sample. This method allows you to ensure representation from each section. You would randomly select a few sections (clusters) and survey all the students within those selected sections.
D. Stratified Sampling: In stratified sampling, you divide your population into subgroups (strata) based on certain characteristics (in this case, sections). Then, you randomly select samples from each subgroup in proportion to their size in the population. This ensures that each section is represented according to its proportion in the total population.
These methods will help you obtain a representative sample from each section while accounting for the different sizes of the sections in your Stat 200 course.
$3,087.50
$2,850.00
$1,425.00
21
42
1,008
Answer:
21
Step-by-step explanation:
This is a combination of 7 objects taken 5 at a time
nCr = n! / r! * (n - r)!
7C5 = 7! / (5! (7-5)!)
= 7! /(5! 2!)
= (7*6*5*4*3*2*1)
-----------------------
5*4*3*2*1 * 2*1
Canceling
= 7*6/ (2*1)
= 21