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3 years ago

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They have budgeted $3,000 for their reception, if the reception hall charges a $70 cleanup fee plus $35 per person, find the gre

atest number of people that they may invite and still stay with in their budget

1 answer:

saw5 [17]3 years ago

4 0

28,

70 + 35 = 105, then divide by 3,000 which equals 28.57142857143, but you want a full human so you round down to 28

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Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters,

tiny-mole [99]

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let $\bar X$ = <u><em>sample mean diameter</em></u>

The z score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ ~ N(0,1)

where, $\mu$ = population mean diameter = 141 millimetres

$\sigma$ = standard deviation = 7 millimetres

n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P( $\bar X$ > 141.4 millimetres)

P( $\bar X$ > 141.4) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ > $\frac{141.4-141}{\frac{7}{\sqrt{39} } } }$ ) = P(Z > 0.36) = 1 - P(Z $\leq$ 0.36)

= 1 - 0.6406 = <u>0.3594</u>

The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

8 0

3 years ago

A family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is tak

Dafna1 [17]

Answer:

a. Assume that the population has a normal distribution.

b. The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.

Step-by-step explanation:

Question a:

We have to assume normality.

Question b:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.05 = 0.95$ , so Z = 1.645.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.645\frac{35}{\sqrt{29}} = 10.69$

The lower end of the interval is the sample mean subtracted by M. So it is 230 - 10.69 = 219.31 days.

The upper end of the interval is the sample mean added to M. So it is 230 + 10.69 = 240.69 days.

The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.

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3 years ago

2. Weekly CPU time used by an accounting firm has a probability density function (measured in hours) given by

Zina [86]

Answer:

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Step-by-step explanation:

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3 years ago

A water tank is currently three-quarters full. If 2500 gallons are drained, the tank will be one-third full. How many gallons of

garri49 [273]

Answer:6000

Step-by-step explanation:3 quarters is equal to 9/12. And 1/3 is equal to 4/12

If it is 9/12 full and 2500 gallons are drained then there are 4/3 left

9/12 - 4/3 is equal to 5/12.

Thta means 2500 gallons is 5/12 of the whole container

5/12 divided by 5 is 1/12

And 2500 divided by 5 is 500

That means every 1/12 of the container can fill 500 gallons

Do then 500 times 12 is 6000

Sorry I am really bad at explaining

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3 years ago

Find the rate as a ratio of distance to time 770km, 5hr

solmaris [256]

770:5 or 154:1
154 km per hour

4 0

3 years ago