The building site is 90 metres long and 45 metres wide. What is the area of the site?

Metro buses are scheduled to arrive at each stop every 30 minutes. If the time a person waits at a bus stop is uniformly distrib

Nutka1998 [239]

Answer:

The probability is $P(X > 25 ) = 1.667$

Step-by-step explanation:

From the question we are told that

The maximum wait is $b = 30 \ minutes$

The minimum wait would be $a = 0\ minutes$

Generally the probability that you will wait more than 25 minutes for a bus is mathematically represented as

$P(X > 25 )$

Now given that the time a person waits is uniformly distributed and that the maximum is 30 then we can evaluate the above probability as

$P(X > 25 ) = P(25 < X < 30 ) = \frac{30 - 25}{30 - 0}$

$P(X > 25 ) = 1.667$

4 0

2 years ago

A nutritionist attempts to determine an association between where food is prepared and the number of calories the food contains.

Oksi-84 [34.3K]

Given the conditional relative frequency table below which was generated by column using frequency table data comparing the number of calories in a meal to whether the meal was prepared at home or at a restaurant.

Number of Calories and Location of Meal Preparation.
Home Restaurant Total
≥ 500 calories 0.15 0.55 0.28

< 500 calories 0.85 0.45 0.72

Total 1.0 1.0 1.0

To determine whether there is an association between where food is prepared and the number of carories the food contain, we recall that an "association" exists between two categorical variables if the column conditional relative frequencies are different for the columns of the table. The bigger the differences in the conditional relative frequencies, the stronger the association between the variables. If the conditional relative frequencies are nearly equal for all categories, there may be no association between the variables. Such variables are said to be <span>independent.

For the given conditional relative freduency, we can see that there is a significant difference between the columns of the table.
i.e. 0.15 is significantly different from 0.55 and 0.85 is significantly different from 0.45

Therefore, we can conclude from the given answer options that t</span><span>here is an association because the value 0.15 is not similar to the value 0.55</span>

8 0

2 years ago

The Reverend Henry Whitehead was skeptical of John Snow's conclusion about the Broad Street pump. After the Broad Street cholera

Mamont248 [21]

Answer:

The main reason it was important to study this group was:

1) If Whitehead had found that many people had drunk water from the Broad Street pump and not caught cholera, that would have been evidence against Snow's hypothesis.

Step-by-step explanation:

But Dr. John Snow was able to convince many councillors who ensured that the pump handle was removed from the Broad Street pump. Within a few days of this removal, the cholera epidemic ended. This step proved that Dr. Snow was right from the beginning. The pump handle was the means that the cholera epidemic was being spread from one person to another within Broad Street area, since many usually fetch water from the pump.

4 0

2 years ago

I have to build a box for my scouting project with a volume of 36 cubic centimeters. The base of the box is 6 cm long and 2 cm w

Yakvenalex [24]

You should build your box 3 centimeters high.

Volume = Length x Width x Heigh

36 = 6 . 2 . X
36/6 = 2X
6= 2X
6/2 = X
3 = X

8 0

2 years ago

Michelle receives 32K per year as an assistant fast food manager. Her benefits include health insurance, paid holidays, retireme

ryzh [129]

Answer:

The annual salary of Michelle including benefits = $48, 440

Step-by-step explanation:

<em>Since, you have not specified the table to show the value of each benefit.</em>

<em>So, I am assuming this table as the reference table to show the value of each benefit.</em>

<h3 /><h3><u>Benefits Value Table:</u></h3>

<h2> Benefit Value</h2>

Health Insurance $7,550

Paid Holidays $660

Retirement Contributions $4,500

Paid Vacation $1,230

Uniform Supplied $2,500

Here are the benefits details from the table:

Michelle receiving per year without benefits = $32000

Health Insurance as benefit = $7,550

Paid Holidays as benefit = $660

Retirement Contributions as benefit = $4,500

Paid Vacation as benefit = $1,230

Uniform Supplied as benefit = $2,500

So, the amount she gets from benefits = $7,550 + $660 + $4,500 + $1,230 + $2,500 = $16,440

So, the annual salary, including benefits could be calculated as:

Michelle receiving per year without benefits = $32000

The amount Michelle gets from benefits = $16,440

Michelle have annual salary including benefits = $32000 + $16,440

= $48, 440

Hence, the annual salary of Michelle including benefits = $48, 440

Keywords: calculation, salary, benefits, saving

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8 0

2 years ago