A line passing through (6, a) and (9, -4) is parallel to 2x

Equations - Item 2829

hammer [34]

The formula is used to find the diameter of circle is: $d = \frac{C}{3.14}$

The diameter of circle is 5.1 cm

Solution:

Given that,

Circumference (C) of a circle is 16 cm

The formula for circumference of circle when diameter is given is:

$C = \pi d\\\\\pi \text{ is a constant equal to 3.14}\\\\C = 3.14d$

Rearrange the formula to get "d"

Divide both sides by 3.14

$d = \frac{C}{3.14}$

The above formula is used to find the diameter of circle

Given that, circumeference = C = 16 cm

Substituting we get,

$d = \frac{16}{3.14}\\\\d = 5.095 \approx 5.1$

Thus diameter of circle is 5.1 cm

3 0

2 years ago

A marine sales dealer Önds that the average price of a previously owned boat is $6492. He decides to sell boats that will appeal

Anuta_ua [19.1K]

Answer:

The maximum price that the dealer will sell is $7471 and the minimum is $5513.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 6492, \sigma = 1025$