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oksano4ka [1.4K]

3 years ago

8

Suppose that the weights of 5400 Labrador retrievers in the US is distributed normally with a mean of 62.5lb and a standard devi

ation of 2.5lb. Approximately how many of the Labrador retrievers weigh less than 62.5lb ?

1 answer:

swat323 years ago

3 0

I have the same question! have you figured it out ??

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P = KT/V solve for k

IrinaK [193]

we have

$P=\frac{KT}{V}$

Solve for K means clear the variable K

so

Multiply both sides by $V$

$PV=V\frac{KT}{V}$

$PV=KT$

Divide both sides by $T$

$PV/T=KT/T$

$K=PV/T$

therefore

<u>the answer is</u>

$K=PV/T$

3 0

4 years ago

Read 2 more answers

Simplify the expression. 3x - (2x + 4) + 5

nordsb [41]

Answer:

x

+

1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The graph shows one of the linear equations for a system of equations. Which equation represents the second linear equation for

bagirrra123 [75]

I think the answer is c

3 0

4 years ago

When do you know to use either the shell method or washer method and how do you know what to take it to respect to when it is ro

Marat540 [252]

Step-by-step explanation:

Let's first consider a rotation about a vertical axis (x=0 or x=a).

Using washer method, the volume is:

∫ᵧ₁ᵞ² π (x₂² − x₁²) dy

∫ᵧ₁ᵞ² π ((x₂ − a)² − (x₁ − a)²) dy

Using shell method, the volume is:

∫ₓ₁ˣ² 2π x (y₂ − y₁) dx

∫ₓ₁ˣ² 2π (x − a) (y₂ − y₁) dx

First, notice that with washer method, the differential dy is parallel to the axis of rotation. With shell method, the differential dx is perpendicular to the axis of rotation.

Also, notice that the limits of integration must match the differential.

Choosing the best method will depend on the function.

If x² can be written in terms of y, and integrated, then washer method is the one to use.

If y can be written in terms of x, and integrated, then shell method is the one to use.

In other words, use washer method if x = f(y) is simple to integrate. Use shell method if y = f(x) is simple to integrate.

If instead we rotate about a horizontal axis (y=0 or y=a), the volume with washer method is:

∫ₓ₁ˣ² π (y₂² − y₁²) dx

∫ₓ₁ˣ² π ((y₂ − a)² − (y₁ − a)²) dx

Using shell method, the volume is:

∫ᵧ₁ᵞ² 2π y (x₂ − x₁) dy

∫ᵧ₁ᵞ² 2π (y − a) (x₂ − x₁) dy

We choose washer method when y² = f(x) is easy to integrate.

We choose shell method when x = f(y) is easy to integrate.

So here's the takeaway:

If the axis of rotation is x = 0 or x = a, and x² = f(y) is easy to integrate, use washer method.

If the axis of rotation is y = 0 or y = a, and y² = f(x) is easy to integrate, use washer method.

Otherwise, use shell method.

7 0

3 years ago

A vine called the mile a-minute weed is known for growing at a very fast rate. It can grow up to 0.25 inches

jek_recluse [69]

Answer:

$\displaystyle =\frac{0.5\text{ ft}}{\text{day}}$

The weed grows at a rate of 0.5 feet per day.

Step-by-step explanation:

The weed grows at a rate of 0.25 inches per hour.

And we want to convert this rate into feet per day.

We have that:

$\displaystyle \frac{0.25\text{ in}}{\text{hr}}$

We knowt that there are 12 inches in one foot.

And since we want to cancel the inches, we can write our conversion factor as ft / 12 in.

We also know that there are 24 hours in one day.

And since we want to cancel the hours, we can write our conversion factor as 24 hr / day.

Hence:

$\displaystyle \frac{0.25\text{ in}}{\text{hr}}\cdot\frac{\text{ft}}{12\text{ in}}\cdot \frac{24\text{ hr}}{\text{day}}$

Multiply and cancel common terms. So:

$\displaystyle =\frac{0.5\text{ ft}}{\text{day}}$

The weed grows at a rate of 0.5 feet per day.

4 0

3 years ago