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3 years ago

14

If a ribbon that is 30.1 inches long is cut into equal pieces that are 1.75 inches long, how many pieces of ribbon can be create

d?
1.72
12.7
17.2
172.0

2 answers:

Juli2301 [7.4K]3 years ago

6 0

The answer is 17.2 becuase you would divide 30.1 by 1.75 <span />

Ira Lisetskai [31]3 years ago

3 0

You divide 30.1 by 1.75. So the answer is 17.2. :)

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The product of three positive integers is 300. If one of them is 5, what is the

Elan Coil [88]

Answer and Step-by-step explanation:

So, we are told that 3 positive integers multiply to be 300, and that one of the integers is 5.

First, we divide 300 by 5.

The result is 60.

Now, we take different (reasonable) numbers that add to 16:

10 and 6

12 and 4

We can see here that 10 and 6 are the integers because they add up to 16 and multiplies to 60.

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3 years ago

There are 20 light bulbs in 5 packages.Complete the table to find the rate that gives you the number of light bulbs in 3 package

blondinia [14]

Given that t<span>here are 20 light bulbs in 5 packages.

The table to find the rate that gives you the number of light bulbs in 3 packages is given as follows:

$\begin{tabular}
{|c|c|c|c|c|c|}
Light bulbs&4&8&12&16&20\\[1ex]
Packages&1&2&3&4&5
\end{tabular}$

Three different ways in which the rate can be written are:

12 light bulbs to 3 packages

12 light bulbs : 3 packages

12 light bulbs / 3 packages
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3 years ago

A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1200 hours and a standar

a_sh-v [17]

Answer:

The bulbs should be replaced each 1060.5 days.

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:

$\mu = 1200, \sigma = 60$

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile, that is, the value of X when Z has a pvalue of 0.01. So X when Z = -2.325.

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

$-2.325 = \frac{X - 1200}{60}$

$X - 1200 = -2.325*60$

$X = 1060.5$

The bulbs should be replaced each 1060.5 days.

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3 years ago

If the data analyst hypothesizes that grocery sales are lower on Sunday than on other days, the null hypothesis would likely sta

nlexa [21]

Answer:

The answer is "Grocery sales are lower or no different on Sunday than on other days"

Step-by-step explanation:

Its null hypothesis does not always consider any discrepancy between both the comparable qualities throughout facts and figures. Furthermore, researchers recommend also have lower or even no opposite transactions for Sunday than with other days, because there is no connection between grocery sales and Saturdays and Sundays.

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3 years ago

The regression equation y = -0.414x + 106.55 approximates the percent of people in an

murzikaleks [220]

The correct option will be: A. 67%

<em><u>Explanation</u></em>

Given equation is: $y = -0.414x + 106.55$ , where $x$ is the length of the film in minutes and $y$ is the percentage of people finish watching the film.

Here, the length of the documentary is given as 95 minutes. So, we will <u>plug $x=95$ into the above equation</u> and get....

$y=-0.414(95)+106.55\\ \\ y=-39.33+106.55\\ \\ y=67.22 \approx 67$

<em>(Rounded to the nearest percent)</em>

So, the percentage of people in an audience who will finish watching a documentary that is 95 minutes long will be 67%

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3 years ago