To find the sum of 5/30 and 4/6, convert 5/30 to 1/6 and then add 1/6 and 4/6 to get a sum of 5/6.
To find the sum of 5/30 and 4/6, we need to have a common denominator for both fractions. The least common multiple of 30 and 6 is 30. We can convert 5/30 to 1/6 by multiplying the numerator and denominator by 5. Now, we can add 1/6 and 4/6 to get a sum of 5/6.
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A. use a proportion to estimate the turtle population for 2009
B. use a proportion to estimate the turtle population for 2010
1.
The sample is not random. For being a random sample opinion of all the students must be taken whether they are eating hot lunch or not.
A random sample is a subset of a statistical population where "each subset member has the same probability of being picked". A random sample is meant to accurately reflect a group of people.
Key takeaways:
Example:
In a firm with 250 employees, a simple random sample may consist of the names of 25 employees selected from a hat. In this scenario, the population is all 250 employees, and the sample is random since each employee has an equal chance of being chosen.
Random sampling is used in science to conduct blinded studies or randomized control testing.
This sample cannot be called a random sample. This is because a "random sample is an unbiased representation of the group and here we have not taken the opinions of the students who don’t eat hot lunch". So this sample can’t be a random one.
Learn more about random sample here:
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2.
The Turtle population for 2009 comes out to be 125.
The Turtle Population for 2010 comes out to be 150.
What is Proportion?
A mathematical comparison of two numbers is referred to as a proportion. According to proportion, "two sets of provided numbers that rise or decrease in the same ratio are considered to be directly proportionate to each other".
The sign "::" or "=" is used to represent proportions.
When two ratios are equal, they are said to be in proportion. For example, the time it takes a train to go 100 kilometers per hour is the same as the time it takes to travel 500 kilometers in 10 hours. For example, 100 km/hr = 500 km/10 hours.
For 2009, we are going to calculate the percentage population that was tagged
So, this comes out to be
16÷50×100
⇒32 percent
So the population now becomes 40÷(32÷100)
⇒40×100÷32
⇒125 Turtles
Similarly for 2010,
Percentage population tagged = 8×100÷30
⇒26.7 percent
So the population becomes,
40÷(26.7)
⇒150 Turtles
Learn more about proportion here,
Answer:
C
Step-by-step explanation:
F must be on -4
H must be on 4 (because it is -f=-(-4)=-1•-4=4)
Answer:
Step-by-step explanation:
the answer is c
Answer:
Step-by-step explanation:
we know that
The circumference of a complete circle is equal to
In this problem we have
substitute
Remember that
An angle of subtends the arc length of a complete circle
so
by proportion
Find the arc length for an angle of