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3 years ago

Larinitasܕ |.ܕ.4) 100, 20, 4, .8, _ _ _

Mathematics

1 answer:

Bezzdna [24]3 years ago

8 0

Answer:

Step-by-steap explanation:

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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

ozzi

Answer:

The 80% confidence interval for the mean usage of water is between 18.4 and 18.6 gallons per day.

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:

$\alpha = \frac{1-0.8}{2} = 0.1$

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 $1-0.1 = 0.90$ , so $z = 1.28$

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.

$M = 1.28*\frac{2.3}{\sqrt{717}} = 0.1$

The lower end of the interval is the sample mean subtracted by M. So it is 18.5 - 0.1 = 18.4 gallons per day.

The upper end of the interval is the sample mean added to M. So it is 18.5 + 0.1 = 18.6 gallons per day.

The 80% confidence interval for the mean usage of water is between 18.4 and 18.6 gallons per day.

6 0

3 years ago

What is the scale factor of the two triangles below?

irina [24]

The correct answer is: [A]: " $\frac{3}{4}$ " .
______________________________________________________

<u>Note</u>: "3/4" = "6/8" = "15/20" .
______________________________________________________

8 0

3 years ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y =

miss Akunina [59]

Answer:

381.18 cubic units

Step-by-step explanation:

Graph the region:

desmos.com/calculator/iwvreqjz2m

The region is a trapezoid. When we rotate it about x = 1, we get a hollow cylinder shape. We can either use washer method or shell method to find the volume.

If we find the volume using washer method, we'll have to use two integrals, one for the triangular part of the trapezoid and one for rectangular part. If we use shell method, we only need one integral. So let's use shell method.

Cut a thin, vertical slice of the region. The width of this slice is dx. The height of the slice is y₂ − y₁ = x − 0 = x. The radius of the shell is x − 1.

The volume of the shell is:

dV = 2π (x − 1) (x) dx

dV = 2π (x² − x) dx

The total volume is the sum of all the shells from x=5 to x=7.

V = ∫ dV

V = ∫₅⁷ 2π (x² − x) dx

V = 2π ∫₅⁷ (x² − x) dx

V = 2π (⅓ x³ − ½ x² + C) |₅⁷

V = 2π [(⅓ 7³ − ½ 7² + C) − (⅓ 5³ − ½ 5² + C)]

V = 2π [⅓ 7³ − ½ 7² − ⅓ 5³ + ½ 5²]

V = 2π [⅓ (7³ − 5³) + ½ (5² − 7²)]

V = 2π [⅓ (218) + ½ (-24)]

V = 2π (72⅔ − 12)

V = 121⅓ π

V ≈ 381.18

The volume is approximately 381.18 cubic units.

6 0

3 years ago

Which equation is equivalent to

SSSSS [86.1K]

Answer:

4K^4

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

7th grade math need asap. Lilliana is training for a marathon. She runs the same distance every day for a week. On Monday, Wedne

jolli1 [7]

Answer:

5 Laps

Step-by-step explanation:

The question says that she runs the same distance everyday. This shows us that...

2 laps on a running trail and 6 more miles = 4 laps on a running trail and 2 more miles

We can turn laps into the variable L and miles into the variable M to create an equation

2 L + 6 M = 4 L + 2 M

We can start by subtracting 2 M from both sides to get:

2 L + 4 M = 4 L

Now, we can subtract 2 L from both sides

4 M = 2 L

This tells us that 2 laps are 4 miles which means that 1 lap is 2 miles.

Now, we can break down either side of the equation. Let's break down

2 L + 6 M

First, we can turn the miles into laps. We know that 2 miles is one lap so we can divide 6 by 2. Our Equation:

2 L + 3 L

Now, we can simplify this :

5 L

Now we know that she ran 5 laps on saturday.

Hope this Helps!!! :)

Let me know in the comments if this answer was perfect or if I should change anything!!!

5 0

3 years ago

Larinitasܕ |.ܕ.4) 100, 20, 4, .8, _ _ _​

Larinitasܕ |.ܕ.4) 100, 20, 4, .8, _ _ _