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Anna [14]
3 years ago
14

Find the constant of proportionality. what is the percent decrease? the input is 20 and the output is 16. I’ve been stuck on thi

s problem for a long time please help!
Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
5 0

Answer:

80%

Step-by-step explanation:

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Equation to solve this: 50.5-20.7=a number

Answer: 29.8

Step-by-step explanation:

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in a circle, a 60° sector has an area of a 36π cm^2. find the radius of the circle. round your answer to the nearest whole centi
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Area of circle = \frac{ \theta }{360^o}  \times \pi r^2 \\ 36 \pi = \frac{60^o}{360^o}  \times \pi r^2 \\ r^2=216 \\ r= \sqrt{216} =14.70 \ cm \\ r=15 \ cm \ to \ the \ nearest \ whole \ centimeter.
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The nth term of a sequence is n^2 + 20.
Olegator [25]

Answer:

\large\boxed{a)\ 21,\ 24,\ 29}\\\boxed{b)\ \text{five terms}}

Step-by-step explanation:

a_n=n^2+20\\\\a)\\\\\text{Substitute}\ n=1,\ n=2\ \text{and}\ n=3\ \text{to the }\ a_n:\\\\a_1=1^2+20=1+20=21\\\\a_2=2^2+20=4+20=24\\\\a_3=3^2+20=9+20=29

b)\\\\\text{You have to solve the inequality:}\\\\n^2+20

3 0
3 years ago
A software developer wants to know how many new computer games people buy each year. Assume a previous study found the standard
Marrrta [24]

Answer:

The minimum sample size required to ensure that the estimate has an error of at most 0.14 at the 95% level of confidence is n=567.

Step-by-step explanation:

We have to calculate the minimum sample size n needed to have a margin of error below 0.14.

The critical value of z for a 95% confidence interval is z=1.96.

To do that, we use the margin of error formula in function of n:

MOE=\dfrac{z\cdot \sigma}{\sqrt{n}}\\\\\\n=\left(\dfrac{z\cdot \sigma}{MOE}\right)^2=\left(\dfrac{1.96\cdot 1.7}{0.14}\right)^2=(23.8)^2=566.42\approx 567

The minimum sample size to have this margin of error is n = 567.

3 0
3 years ago
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