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REY [17]
3 years ago
15

The number of days (X) after mailout it takes a utility company to receive payment for a customer’s bill is a normal random vari

able with a mean of 31 days and a standard deviation of 6 days.The latest 2.5% of bills will be received more than how many days after mailout?
Mathematics
1 answer:
Monica [59]3 years ago
4 0

Answer:

The latest 2.5% of bills will be received in 20 more days after mail-out.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 31 days

Standard Deviation, σ = 6 days

We are given that the distribution of The number of days (X) is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(X \leq x) = 0.025

We have to find the value of x such that the probability is 0.025

P(X \leq x) = 0.025

P( X \leq x) = P( z \leq \displaystyle\frac{x - 31}{6})=0.025  

Calculation the value from standard normal z table, we have,  

P( z \leq -1.960) = 0.025

\displaystyle\frac{x - 31}{6} = -1.960\\x = 19.24 \approx 20  

Hence, the latest 2.5% of bills will be received in 20 more days after mail-out.

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Answer:

The slope of this line is -2

Step-by-step explanation:

2x - 5y  =9

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y= -2x + 14 (add 5 to each side)

-2 is the slope

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3 years ago
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The buyer for a chain of stores purchased lawn ornaments in bulk, paying $23 each. The stores will sell each lawn ornament for $
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Answer:

The markup percentage is 61.2

Step-by-step explanation:

Given as :

The cost price of each ornaments = $23

The sell price of each ornament = $37.08

Let The markup percentage = x

<u>Now, According to question</u>

Markup percentage = \dfrac{s.p - c.p}{c.p} × 100

Or, x% = \dfrac{37.08 - 23}{23}

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Or, x% = 0.612

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I.e x = 61.2

So, The The markup percentage = x = 61.2

Hence, The markup percentage is 61.2 Answer

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3 years ago
How to calculate slope?
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Answer:

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Step-by-step explanation:

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviat
dimulka [17.4K]

As per the concept of normal distribution, the two diameters of the bolt that has separate the top 3% and the bottom 3% are 5.2836 mm and 5.0764 mm respectively .

Normal distribution:

Normal distribution means the 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 and it has the bell shaped curve.

Given,

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviation of 0.07 millimeters.

Here we need to find the two diameters that separate the top 3% and the bottom 3% and these diameters could serve as limits used to identify which bolts should be rejected. we have also round off the result into nearest hundredth.

Here we have the given question with the values of,

The value of Mean is 5.18 millimeters

The value of Standard deviation is 0.07 millimeters.

Here we have to consider the following two cases, they are.

Case 1

We need to find x₁ such that that is P(X > x₁) = 3% when we convert it into decimal then we get P (X > x₁) = 0.03

So, as per the probability,

P (X ≤ x₁) = 1 - 0.03 = 0.97

So, z corresponding to the value of p = 0.97 is 1.48

Apply the given values to the formula of normal distribution then we get,

=> 1.48 = (x₁ -  5.18) /0.07

=> 0.1036 = x₁ - 5.18

Therefore, the value of x₁ is  5.2836

So, the diameter of the both with separate top 3% is 5.2836.

Case 2:

Next we have to take P(X < x₂) = 3% when we convert it into decimal then we get P (X < x₂) = 0.03

So, as per the given probability, the value of

P (X ≤ x₂) = 1 - 0.03 = 0.97

So, z corresponding to but here we have to use the negative because of the less than concept p = 0.97 is -1.48

Apply the values on the formula of normal distribution then we get,

-1.48 = (x₂ -  5.18) /0.07

Move the value to the other side

-0.1036 = x₂ - 5.18

When we simplify it,

x₂ =  5.0764

So, the diameter of the both with separate bottom 3% is 5.0764

To know more about Normal distribution here.

brainly.com/question/12421652

#SPJ1

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1 year ago
Suppose A and B represent mutually exclusive events.
mart [117]

Answer:

14/15

Step-by-step explanation:

simple

3/5 + 1/3= 14/15

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