The table below shows the number of Japanese yen that could be exchanged for U.S. dollars on the day

Suppose that in a senior college class of 500 students itis found that 210 smoke, 258 drink alcoholic beverages, 216 eatbetween

Katarina [22]

Answer:

a)Smoke but doesn't drink alcoholic beverages

P=0.176 or 17.6%

b)eats between meals and drinks alcoholic beverages but doesn't smoke

P=0.062 or 6.2%

c.) neither smokes nor eats between meals

P=0.342 or 34.2%

Step-by-step explanation:

Using a Venn diagram with three circles, one for each bad health habit. Let us $a$ for the students that only smoke, $b$ for only drink alcoholic beverages, and $c$ for only eat between meals. Following this logic, $d$ represents smoke and drink alcoholic beverages but not eat between meals, $e$ drink alcoholic beverages and eat between meals but not smoke, $f$ eat between meals and smoke but not drink alcoholic beverages. Finally $g$ for having all the three, this means $g=52$ .

To find $f$ , subtract 52 (the three problems) from 97 because this last number represents all the students that smoke and eat between meals, including the students that have the three bad habits. The same goes for 'd' and 'e'.

$f=97-52=45$

$e=83-52=31$

$d=122-52=70$

To find $a$ , subtract $e$ , $f$ , and $g$ from the total of smokers. This is because $e$ , $f$ , and $g$ represent smoke and at least another bad habit and $a$ represents only smoking.

$a=210-d-f-g=210-70-45-52=43$

The same goes for $b$ and $c$ .

$b=258-d-e-g=258-70-31-52=105$

$c=216-e-f.-g=216-31-45-52=88$

Adding all letters and subtract from the total to see if there is any healthy student:

$500-a+b+c+d+e+f+g =500-43+105+88+70+31+45+52=500- 434=66$

a)Smoke but doesn't drink alcoholic beverages

This will be 'a' (only smokes) and 'f' ( smokes and eats between meals but doesn't drink) divided by the total of students.

$P=(43+45)/500=0.176$

b)eats between meals and drinks alcoholic beverages but doesn't smoke

This probability is 'e' divided by the total of students.

$P=31/500=0.062$

c.) neither smokes nor eats between meals

This will be 'b' (only drinks) plus the healthy students (66) divided by the total of students.

$P=(105+66)/500=0.342$

5 0

3 years ago

Jasper owns a small retail store as a sole proprietor. the business records show that the cost of the stores inventory items has

LiRa [457]

Answer:

c. jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory

Step-by-step explanation:

First In First Out FIFO is a type of inventory system in accounting, it literally implies that the oldest purchase goes out first when you made a sale. The oldest purchase are charged based on cost of good sold. If price are rising, :

FIFO will yield a lower cost of good sold

FIFO will yield a higher net income

FIFO will yield higher tax liability

FIFO will yield a higher inventory

From the information given:

the business records show that the cost of the stores inventory items has been steadily increasing. the cost of the end of the year inventory is 200,000 and the cost of the beginning of the year inventory was 250,000.

What the statement implies is that:

jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory

3 0

3 years ago

Verify the property a x (b+c) =(a x b)+(a x c) by taking: a = -7, b = (2/5), c = (-3/7)

Margaret [11]

(-7)*(2/5 + (-3/7))
= -14/5 + 3
=1/5

5 0

3 years ago

A recent survey found that 30% of telephone users have switched completely to cell phone use (i.e. they do not have landlines in

Genrish500 [490]

Answer:

The probability that exactly 30% of these 10 telephone users do not have landlines in their homes is 0.2668.

Step-by-step explanation:

We are given that a recent survey found that 30% of telephone users have switched completely to cell phone use (i.e. they do not have landlines in their homes).

A random sample of 10 of these customers is selected.

The above situation can be represented through binomial distribution;

$P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,3,......$

where, n = number of trials (samples) taken = 10 customers

r = number of success = 30% of 10 = 3

p = probability of success which in our question is the probability

that telephone users do not have landlines in their homes,

i.e. p = 30%

Let X = Number of telephone users who do not have landlines in their homes

So, X ~ Binom(n = 10, p = 0.30)

Now, the probability that exactly 30% of these 10 telephone users do not have landlines in their homes is given by = P(X = 3)

P(X = 3) = $\binom{10}{3}\times 0.30^{3} \times (1-0.30)^{10-3}$

= $120 \times 0.30^{3} \times 0.70^{7}$

= 0.2668

4 0

3 years ago

Look at the table of values below.

Natalka [10]

Answer:

A. y = 1 - 2x

The equation y = 1 - 2x is represented by the table.

Step-by-step explanation:

In this question you are trying to find out which is the right equations that belongs to the table of values.

For any streight line, you need the minimum of two points (x,y) to be able to draw a line that accounts for all points on that line...

If you substitute x = 1 in any of the equations, the outcome should be -1 because that is given in the table.

So try it and you will you find solely based on one of the first value that, the equations in A. and C. could be valid, because the point with coordinates (1, -1) is on the line A. and also on C.

At this time you can totally discard equations B an D because the value of y = -1 is not the outcome if you substitute x = 1. You can absolutely cross out answers B an D. Please understand what a timesaver this is; for the next substitution you only need to subsymtitue one extra coordinate (x,y) and you only have to substitute it only in equations A and C.

Try one more point, to choose between answer A and answer C. Just pick the easiest value in the table.

Please understand that you could pick eighter the x value OR YOU COULD choose the y value. It just does not matter, because the coordinate (x,y) is a pair of two numbers which are bound together by the equation given and also by all values in the table... The question remains, how fast can you distinguish which is the right equation....

After substituting another value from the table, you find that only equation A. is valid and not C (and you already discarded answers B an D remember)....

So the equation y = 1 - 2x is represented by the table, which is answer A.

Although this is a lot of text explaining the simple steps of substituting a value of the table an checking if the coordinate is a member of the equation, I hope it will save you a lot of time in the future!

8 0

3 years ago