Sorry for all the questions!!

Determine whether the relationship between the circumfrance of a circle and its diameter is a direct variation. If so, identify

kipiarov [429]

Answer:

The relationship between the circumference of a circle and its diameter represent a direct variation and the constant of proportionality is equal to the constant $\pi$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y=kx$

where K is the constant of proportionality

In this problem we know that

The circumference of a circle is equal to

$C=\pi D$

therefore

the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant $\pi$

3 0

3 years ago

Combine like terms to create an equivalent expression.

Lelu [443]

Answer:

$\frac{1}{6}$ p - $\frac{4}{5}$

Step-by-step explanation:

collect like terms

- $\frac{2}{3}$ p + $\frac{5}{6}$ p + $\frac{1}{5}$ - 1

= - $\frac{2(2)}{2(3)}$ p + $\frac{5}{6}$ p + $\frac{1}{5}$ - $\frac{5}{5}$

= - $\frac{4}{6}$ p + $\frac{5}{6}$ p - $\frac{4}{5}$

= $\frac{1}{6}$ p - $\frac{4}{5}$

5 0

2 years ago

Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor

iren2701 [21]

Answer:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,0.08)$

Where $\mu$ and $\sigma=0.08$

Since the distribution for X is normal then the we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE= \frac{0.08}{\sqrt{24}}= 0.0163$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,0.08)$

Where $\mu$ and $\sigma=0.08$

Since the distribution for X is normal then the we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE= \frac{0.08}{\sqrt{24}}= 0.0163$

8 0

3 years ago

Hannah sold 48 flowers in 3 hours at the farmers market if she continues to sell at that rate how many flowers will she sell in

igomit [66]

First, find the rate of flowers bought per hour:
48 / 3 = 16 flowers per hour.
Then, to find the amount bought after 2 hours, multiply the 16 flowers per hour by 2.
16 * 2 = 32.
After 2 hours, she will have bought 32 flowers.

5 0

3 years ago

A rocket generates a net force (F) of 2,050,000 newtons, and the rocket mass (m) is 40,000 kilograms

SVEN [57.7K]

From the given equation above, F = ma, acceleration may be calculated by slightly modifying the equation into a = F / m. Substituting the known values for force and mass,

a = 2,050,000 N / 40,000 kg = 51.25 m/s²

Thus, the acceleration achieved is 51.25 m/s².

6 0

2 years ago