POLYGONS AND CIRCLES

kolezko [41]

Step-by-step explanation:

<h2>=>first combine the like terms</h2>

5x-8x+12=24

-3x+12=24

<h2>=>substruct 12 from 12 and 24</h2>

-3x+12-12=24-12

-3x=12

<h2>=>divide -3 from both side</h2>

-3x/3=12/-3

7 0

3 years ago

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A city planner wants to estimate the average monthly residential water usage in the city. He selected a random sample of 100 hou

hodyreva [135]

Answer:

The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.645*\frac{600}{\sqrt{100}} = 98.7$

The lower end of the interval is the sample mean subtracted by M. So it is 4500 - 98.7 = 4401.3 gallons

The upper end of the interval is the sample mean added to M. So it is 4500 + 98.7 = 4598.7 gallons

The 90% confidence interval for the average monthly residential water usage for all households in this city is between 4401.3 gallons and 4598.7 gallons.

4 0

3 years ago

For example, for a circle of diameter 4 cm, the circumference is approximately cm.

Simora [160]

Answer:

the diameter is 4 cm which means the radius is 2 cm. Diameter divided by two will give you the radius. The formulae for circumference is 2 π⋅r. So the circumference would be 4 π.

Step-by-step explanation:

7 0

2 years ago

What is 2.1 yd/min=ft/s

Brums [2.3K]

6.3 feet per 60 seconds so if you want feet per one second you need to divide 6.3 and 60 which is 0.105 ft per 1 sec.

6 0

3 years ago

(14 ÷ 2) x 5 + 6 { 3 x (4 + 1) } ÷ 5 EXPLAIN GIVING BRAINLIEST

OleMash [197]

Answer:

25

Step-by-step explanation:

(14÷2)×5+6(3×(4+1))÷5

using BODMAS

7×5+6(3×5)÷5

=7×5+6×15÷5

=35+90÷5

=125÷5

=25

3 0

3 years ago

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