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Anon25 [30]
3 years ago
13

A toy company produces 1,000 toys per month. In January, 75 toys did not meet quality standards. The toy company generates a ran

dom sample to simulate 10 toys to inspect in February. The integers 1 to 75 represent toys that are below standard.
726 687 329 68 134
355 983 619 211 512
Based on this sample, how many toys will not meet quality standards in February?
Mathematics
1 answer:
erik [133]3 years ago
3 0
Based on this sample, 100 toys will not meet standards.

There is 1 value that is 75 or lower in this simulation.  This makes the experimental probability 1/10.  1/10(1000) = 100 toys for the month.
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Write the fraction as a sum of fraction three different ways 7/10
Fynjy0 [20]

Answer:

Step-by-step explanation:j7/10. 7 divided by 10. And .7

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3 years ago
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After 8 points are added to each score in a sample, the mean is found to be M= 40. What was the value for the original mean
MArishka [77]

Answer:

The value for the original mean = 32

Step-by-step explanation:

Here, we want to calculate the original value of the mean.

Let the number of samples be n

Mathematically;

mean = Total value/n

Now, we added 8 to each of values; total value added = 8 * n = 8n

Now, for the new mean of 40; we have

(Total value + 8n)/n = 40

Total value + 8n = 40n

Total value = 40n -8n

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kindly recall from the beginning of the solution;

mean = Total value/n

mean = 32n/n

mean = 32

So the original value of the mean is 32

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3 years ago
How many calories will tai burn in 1 minute while biking? Enter the answer in the box
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Answer:

10 calories per minute

Step-by-step explanation:

We do not have much information to go on such as the speed that Tai is biking or his/her weight. Regardless we can use the data gathered by the University of Harvard which after a study came up with the following results. Their results showed that if an individual bikes at a speed of 13 mph and are around 155 pounds they will burn calories at a rate of 10 calories per minute. Therefore we can assume that Tai is burning roughly 10 calories per minute. This rate increases if the person bikes at a faster speed or weighs more as they are exerting more energy.

7 0
3 years ago
Shear strength measurements for spot welds have been found to have standard deviation 1 0 pounds per square inch (psi). If 100 t
Temka [501]

Answer:

P(\mu -1< \bar X

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".  

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

X \sim N(\mu,10)  

Where \mu and \sigma=10

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

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

On this case  \bar X \sim N(\mu,\frac{10}{\sqrt{100}})

We are interested on this probability

P(\mu -1

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

P(\mu -1

=P(\frac{\mu -1-\mu}{\frac{10}{\sqrt{100}}}

And we can find this probability on this way:

P(-1

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-1

5 0
3 years ago
Use elimination to solve each system.
Cerrena [4.2K]

Answer:

$3 and $2

Step-by-step explanation:

let p represent popcorn and d drinks , then

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add (3) and (4) term by term to eliminate p

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substitute d = 2 into either of the 2 equations and solve for p

substituting into (1)

2p + 3(2) = 12

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2p = 6 ( divide both sides by 2 )

p = 3

Popcorn costs $3 and a drink costs $2

7 0
2 years ago
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