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stepladder [879]
3 years ago
10

Solar Containers makes​ high-end coolers for camping. The total task time needed to make a cooler is 360 ​seconds, with the long

est individual task taking 5050 seconds. Polar Containers would like to set up a line capable of producing 50 coolers per 8​-hour day. What is the takt​ time?
Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0

Answer:

The takt​ time is 576 seconds per cooler

Step-by-step explanation:

Knowing the formula

Takt Time = (Available production time in seconds) / (Required output time in seconds)

Available production time in seconds = 8*60*60

Required output time in seconds = 5050

Takt Time = (8*60*60) / (50) = 576 seconds per cooler

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Mr. randall bought 4 shirts, which were on sale. the shirts were originally priced $20. the salres price of the shirts was $5 do
USPshnik [31]

Answer:

The price Mr. Randall paid = 4 * (20-5)

Step-by-step explanation:

8 0
3 years ago
Okay i need some help fast
Troyanec [42]

Answer:

<em>Dimensions : 1 by 1 by 2 feet,</em>

<em>Volume ⇒ 2 ft^3</em>

Step-by-step explanation:

Here, I can only assume that this rectangular prism is assigned to have dimensions 1 foot by 1 foot by 2 feet;

I can tell that these types of boxes have height and width as the same lengths, so given that;

<em>Dimensions : 1 by 1 by 2 feet,</em>

Volume ⇒ 1 * 1 * 2 ( by definition ) ⇒ 2 ft^3

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6 0
3 years ago
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AlexFokin [52]

Answer:

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6 0
2 years ago
Given a population with a mean of muμequals=100100 and a variance of sigma squaredσ2equals=3636​, the central limit theorem appl
lakkis [162]

Answer:

a) \bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)

\mu_{\bar X}=100 \sigma^2_{\bar X}=1

b) P(\bar X >101)=1-P(\bar X

c) P(\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".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Let X the random variable that represent the variable of interest on this case, and for this case we know the distribution for X is given by:  

X \sim N(\mu=100,\sigma=6)  

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

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

a. What are the mean and variance of the sampling distribution for the sample​ means?

\bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)

\mu_{\bar X}=100 \sigma^2_{\bar X}=1.2^2=1.44

b. What is the probability that x overbarxgreater than>101

First we can to find the z score for the value of 101. And in order to do this we need to apply the formula for the z score given by:  

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

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

z=\frac{101-100}{\frac{6}{\sqrt{25}}}=0.833  

And we want to find this probability:

P(\bar X >101)=1-P(\bar X

On this last step we use the complement rule.  

c. What is the probability that x bar 98less than

First we can to find the z score for the value of 98.

z=\frac{98-100}{\frac{6}{\sqrt{25}}}=-1.67  

And we want to find this probability:

P(\bar X

5 0
3 years ago
What is the 30°-60°-right triangle theorem?
kondaur [170]
<span>the 30°-60°-right triangle theorem states that the 
</span>In a right triangle, the hypotenuse is twice as long as a leg if and only if the measure of the
<span>angle opposite that leg is 30°
so the option C is correct from above all
</span>see the figure
hope it helps

4 0
3 years ago
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