A sandbox is a right rectangular prism

If y = 4 when x = -6, find y when x = 15.

SVETLANKA909090 [29]

Y=5. Difference between -6 and 4 is ten so 15-10 =5

6 0

2 years ago

Which of the following equations describes a relationship of inverse variation between input and out put ?

labwork [276]

Answer:

option A

output = constant / input

Step-by-step explanation:

Inverse relationship between two input and output means that they both moves in opposite directions, if one increases than other decreases.

Equation to describe relationship of inverse variation between input and output will be as following

<h3> output ∝ 1 / input</h3>

to remove this sign of proportionality

<h3> output = k / input </h3>

where k is a constant

4 0

3 years ago

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took these 100 customer

AlladinOne [14]

Answer:

$4-2.326\frac{1}{\sqrt{100}}=3.767$

$4+2.326\frac{1}{\sqrt{100}}=4.233$

So on this case the 98% confidence interval would be given by (3.767;4.233)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X=4$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=100 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.01,0,1)".And we see that $z_{\alpha/2}=2.326$