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Karo-lina-s [1.5K]
3 years ago
5

I will give brainiest to whoever answers correctly !!

Mathematics
1 answer:
KonstantinChe [14]3 years ago
4 0

Answer:

The number of units sold increased by \mathbf{11.2\%}

Step-by-step explanation:

Vacuum dealer sold units in 2011 = 420

Vacuum dealer sold units in 2012 = 467

We need to find percent increase or decrease

Since, In 2012 units sold are greater than 2011, so there will be percent increase.

The formula used is: Percent\:Increase=\frac{New\:Value-Original\:Value}{Original\:Value}\times 100

We have New Value (Units sold in 2012) = 467

Original Value (Units sold in 2011) = 420

Percent increase is:

Percent\:Increase=\frac{New\:Value-Original\:Value}{Original\:Value}\times 100\\Percent\:Increase=\frac{467-420}{420}\times 100\\Percent\:Increase=\frac{47}{420}\times 100\\Percent\:Increase=11.2\%

So, The number of units sold increased by \mathbf{11.2\%}

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Answer:

576

Step-by-step explanation:

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3 years ago
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3 years ago
When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 65 seconds and a standard devia
just olya [345]

Given Information:  

Mean time to finish 400 meter dash  = μ = 65 seconds

Standard deviation to finish 400 meter dash = σ = 2.5 seconds  

Confidence level = 95%

Required Information:  

95% confidence interval = ?

Answer:  

 CI = 60 \: to \: 70 \: seconds

Step-by-step explanation:  

In the normal distribution, the empirical rule states approximately 68% of all the data lie within 1 standard deviation from the mean, approximately 95% of all the data lie within 2 standard deviations from the mean and approximately 99.7% of all the data lie within 3 standard deviations from the mean.

The confidence interval for 95% confidence limit is given by

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Since approximately 95% of all the data lie within 2 standard deviations from the mean. μ is the mean time Carson takes to finish 400 meter dash and σ is the standard deviation.

 CI = 65 \pm 2(2.5)

 CI = 65 \pm 5

 CI = 65 - 5 \: to \: 65 + 5

CI = 60 \: to \: 70 \: seconds

Therefore, the 95% confidence interval is between 60 to 70 seconds

What does it mean?  

It means that we are 95% confident that the Carson's mean to finish 400 meter dash is within the interval of (60, 70).

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3 years ago
What is a equivalent ratio to 7:5. A. 14:12. B.21:10. C.21:15
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