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dimulka [17.4K]
4 years ago
6

Which property can be used to show that 4r+3s+2r=6r+3s? Explain your answer.

Mathematics
1 answer:
riadik2000 [5.3K]4 years ago
4 0

Distributed property because this property allows u two put 4r+2r because this equation is also (4xr)+(2xr) since they have the same variable u can put them together 4+2 is 6 and then just multiply by r so it’s 6r. And let’s not forget about 3s it doesn’t have the same variable so you can do 6r+3s which is what u got and is the correct answer 6r+3s is simplified but it’s the same as 4r+3s+2r

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Circle O has a circumference of 88π cm.
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Answer

44

Step-by-step explanation:

R = C/(2*Pi).

So, in order to find the radius from the circumference, you use the formula R = C/(2*Pi). In other words, just divide the circumference by 2 times pi.

8 0
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Solve the inequality.
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m \geqslant  \frac{3}{4}

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Find the additive inverse of 0.25. Write your answer as a decimal to the nearest hundredth
ivann1987 [24]

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6 0
3 years ago
The transportation department is resurfacing 12.75 miles of roadways in Narvarro Country. The crew completes work on a 1/8-mile
steposvetlana [31]

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102 hours

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3 0
4 years ago
Please help! see attached
nikdorinn [45]

Answer:

  1. The lowest value of the confidence interval is 0.5262 or 52.62%
  2. The highest value of the confidence interval is 0.5538 or 55.38%

Step-by-step explanation:

Here you estimate the proportion of people in the population that said did not have children under 18 living at home.It can also be given as a percentage.

The general expression to apply here is;

C.I=p+-z*\sqrt{\frac{p(1-p)}{n} }

where ;

p=sample proportion

n=sample size

z*=value of z* from the standard normal distribution for 95% confidence level

Given;

n=5000

<u>Find p</u>

From the question 54% of people chosen said they did not have children under 18 living at home

\frac{54}{100} *5000 = 2700\\\\p=\frac{2700}{5000} =0.54

<u>To calculate the 95% confidence interval, follow the steps below;</u>

  • Find the value of z* from the z*-value table

The value of z* from the table is 1.96

  • calculate the sample proportion p

The value of p=0.54 as calculated above

  • Find p(1-p)

0.54(1-0.54)=0.2484

  • Find p(1-p)/n

Divide the value of p(1-p) with the sample size, n

\frac{0.2448}{5000} =0.00004968

  • Find the square-root of p(1-p)/n

=\sqrt{0.00004968} =0.007048

  • Find the margin of error

Here multiply the square-root of p(1-p)/n by the z*

=0.007048*1.96=0.0138

The 95% confidence interval for the lower end value is p-margin of error

=0.54-0.0138=0.5262

The 95% confidence interval for the upper end value is p+margin of error

0.54+0.0138=0.5538

7 0
3 years ago
Read 2 more answers
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