Suppose that there are 13 people (nine men and four women) standing ona platform, which has a weight capacity of 2100 pounds. Weights of men are normally distributed withmean 160 pounds and standard deviation 20 pounds. Weights of women are normally distributed,with mean 125 pound and standard deviation 15 pounds. Suppose weights of these 13 people areindependent of each other. What is the probability that the platform will collapse

Answer:

P is 12

Step-by-step explanation:

It is just 20-8, which is 12

The new price of the stock which increases 3/4 per share is $ 7 1/2.

Given data:

A stock is selling on a stock exchange for 6 3/4 dollars per share.

If the price of the stock increases by 3/4 dollars per share, you can add 3/4 to the current price of 6 3/4 dollars per share:

6 3/4 + 3/4

To add the whole numbers and fractions separately:

6 + 0 + 3/4 + 3/4

Adding the whole numbers and fractions:

6 + 1 1/2

A = 7 1/2

Hence, the price of the new stock is $ 7 1/2

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Step-by-step explanation:

If the price increases 3/4 per share, the new price of the stock =

6¾ + ¾ =

27 /4 + ¾ =

30 /4 =

15/2or7½

Final answer:

The charity needs to earn 55,000 dollars. Subtracting the donation of 10,000 they need to make 45,000 dollars from the race entries. They make 40 dollars per entry, so dividing 45,000 by 40 gives the number of race entries needed: 1125.

Explanation:

The charity makes $40 per race entry ($55 entry fee minus the $15 cost). It also receives an additional $10,000 in donations. To raise at least $55,000, the charity would need to make at least $45,000 from race entries because $55,000 - $10,000 = $45,000. This is the target earnings from the race entries.

The race entry is $40 so we divide the target by the amount earned per race to find out the number of race entries needed: $45,000 / $40 = 1125. Therefore, the charity would need to have at least 1125 race entries to raise at least $55,000.

So the inequality would be: 40x + 10,000 ≥ 55,000, where x is the number of race entries. Solving the inequality would give x ≥ 1125.

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Step-by-step explanation:

$55,000 - $10,000 = $45,000

$55 - $15 = $40

$45,000 : $40 = 1,125 race entries needed

Answer:

bottle of water: $1.60

gallon of milk: $3.80

bag of chips: $0.80

Step-by-step explanation:

First, the amount of groceries bought can be represented as:

where represents the cost of one gallon of milk, represents the cost of a bottle of water, represents the cost of one bag of chips.

We can form a system of equation by constructing another equation to substitute into the first using the other pieces of information given.

"a bottle of water costs twice as much as a bag of chips"

 →  

"milk costs $2.20 more than a bottle of water"

Now, substitute these into the first equation and solve for w in terms of c.

So, one bottle of water costs $1.60.

To solve for the other items, plug the solved value into the 2-variable equations.

So, one gallon of milk costs $3.80.

So, one bag of chips costs $0.80.

Answer:

1) y = 1.8741176487x + 3.655964863

2) About $191 using the equation, about $180 or more using the data you are given.

3) I can use the regression calculator by using the largest number of customers you have in the data set and lowest number of customers and compare them to see if the numbers are in ascending or descending order.