All categories

3 years ago

What is the reciprocal of 7/9

1 answer:

4 0

The reciprocal of a given fraction is obtained by flipping the elements of the fraction. This means that the current numerator becomes the denominator of the reciprocal and the current denominator becomes the new numerator. Thus, for the given fraction, the reciprocal is 9/7.

You might be interested in

Solve using substitutions! Help w this question please!!

Irina18 [472]

I hope this helps you

6 0

3 years ago

A room is 5 meters by meters . How many square 14-inch tiles will it take to floor the room ? I meant to say a room is 5 meters

lesya [120]

Given:

Room is 5 meters by 8 meters.

Measure of squaree tiles is 14-inch.

$\begin{gathered} \text{Area of the room=5}\times8 \\ \text{Area of the room=}40m^2 \end{gathered}$ $1m^2=1550inch^2$ $\begin{gathered} \text{Area of each tile=14}\times14 \\ \text{Area of each tile=}196inch^2 \end{gathered}$ $\begin{gathered} \text{Number of tiles to floor the room=}\frac{40\times1550}{196} \\ \text{Number of tiles to floor the room}=316.3265 \end{gathered}$

Approximately 316 tiles are required to floor the room.

8 0

1 year ago

A truck is said to get 18 miles per gallon on a highway, but this value can fluctuate,

Ratling [72]

Answer: 14 miles ≤ D ≤ 22 miles.

Step-by-step explanation:

The mean distance traveled per gallon, is 18 miles.

But this can fluctuate, at most, by 4 miles.

Because we have here the "at most", we know that we should use the ≤, ≥ symbols.

Then, if the mean is 18mi, the range of possible distances traveled per gallon is:

(18 miles - 4 miles) ≤ D ≤ (18 miles + 4 miles)

Where D is the distance.

14 miles ≤ D ≤ 22 miles.

So the truck can get between 14 miles and 22 miles per gallon on the highway.

4 0

3 years ago

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

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".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 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 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$