Answer:
Area of the circle = 706.5 cm²
Step-by-step explanation:
Diameter = 30cm
Radius = 15cm
Area of the circle=πr²= 3.14(15)²= 3.14×225 = 706.5 cm²
Answer:
Step-by-step explanation:
As stated in the question, the probability to toss a coin and turn up heads in the first try is
, in the second is
, in the third is
and so on. Then, P(C) is given by the next sum:

This is a geometric series with factor
. Then is convergent to
. With this we have proved that P(C)=1.
Now, observe that

Then



and

C=1.67n
It's kind of like y=mx+b. C stands for the overall price. And n stands for the amount of pounds. For example if someone bought 6 pounds apples at the farm it would be
c=1.67(6)
c= $10.02
<h3>
Answer: Choice A) 1/7, 3/7, 4/7, 6/7</h3>
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Explanation:
All of the fractions, for each of the answer choices, has a denominator of 7. This means we can ignore them when it comes to sorting out the fractions. Focus only on the numerators.
- Choice A has numerators 1,3,4,6 in that order from left to right. This is in increasing order (ie smallest to largest), so this is why choice A is the answer.
- Choice B has the numerators 6,4,3,1 in that order. This is from largest to smallest, which is the complete opposite of what we want. Choice B is incorrect.
- Choice C has numerators 1,6,4,3 which is in neither order. Rule this out as well.
- Choice D has numerators 3,4,1,6 and we can rule it out for similar reasoning as choice C.
If you want, you can convert each fraction to decimal form to sort out the decimals that way, then convert back to fraction form.
Answer: Yes. The data provides convincing evidence.
Step-by-step explanation:
In a random sample of 40 teenagers, 18 enjoy reading for fun. The percentage of teenagers who enjoy reading for fun will be:
= 18/40 × 100
= 45%
In a random sample of 40 adults, 12 enjoy reading for fun. The percentage of adults who enjoy will be:
= 12/40 × 100
= 30%
Therefore, the proportion of adults who enjoy reading for fun is less than that of teenagers. Therefore, the data provides convincing evidence.