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2 years ago

A-B=18 A:B is equivalent to 11:5

2 answers:

8 0

One way is to use brute force (find bigger equivalent ratios and add them)
11:5
to make them bigger, we multiply both by the same number
11:5
11+5=16 nope
11:5 times 5 to both=55:25
add
55+25=80
we can just add the numbers before multiplying and then multiply after

11+5=16
16 times what=18
divide both sides by 16
1.125=what
we need to multiply each by 1.125
11:5 times 1.125 to both =12.375 : 5.625
12.375+5.625=18

a=12.375
b=5.625

Hope this helps :)

Wittaler [7]2 years ago

4 0

Answer:

A= 33 and B = 18

Step-by-step explanation:

To find the value of A and B, we need to take into account the proportion A: B that is equal to 11:5. We can multiply both quantities of this proportion by some number to find two values that satisfy A - B = 18.

The simplest case would be to think A = 11 and B = 5, but 11-5 is not equal to 18 ⇒ 11 - 5 = 6 which does not satisfy A - B = 18.

Another option to find an answer is to multiply the ratio by two: 2 (11: 5) = 22:10, but it turns out that is A = 22 and B = 10 ⇒22-10 is not equal to 18 either.

Thus we arrive at the one that is the correct answer, multiplying the proportion by three: 3 (11: 5) = 33 - 15, and in this case we would have A = 33 and B = 15, which meets the condition A - B = 18, because 33 - 15 = 18

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5. the price of an ipod dropped from $299.99 to $180.55. what was the percent decrease in price? (round to nearest hundredth per

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If you would like to know what was the percent decrease in price, you can calculate this using the following steps:

x% of $299.99 is $180.55
x% * 299.99 = 180.55
x/100 * 299.99 = 180.55
x = 180.55 * 100 / 299.99
x = 60.19%

100% - 60.19% = 39.81%

The correct result would be 39.81%.

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2 years ago

Researchers from Dartmouth Medical School conducted a study in 2003 to look at the connection between watching actors smoking in

docker41 [41]

Answer:

The 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).

Step-by-step explanation:

A confidence interval is an interval estimate of the population parameter. The confidence interval has a certain probability of consisting the true value of the parameter.

The (1 - α) % confidence interval for the population proportion (p) is given by:

$CI=\hat p\pm z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}$

The information provided is:

$n = 6522\\\hat p=0.38\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table for the critical value.

Construct the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies as follows:

$CI=\hat p\pm z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.38\pm 1.96\times \sqrt{\frac{0.38(1-0.38)}{6522}}\\=0.38\pm 0.0118\\=(0.3682, 0.3918)\\\approx (0.37, 0.40)$

Thus, the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).

8 0

1 year ago

Suppose 1000 people enter a chess tournament. Use a rooted tree model of the tournament to determine how many games must be play

Vlada [557]

Answer: 999 games

Step-by-step explanation:

There are many ways to illustrate the rooted tree model to calculate the number of games that must be played until only one player is left who has not lost.

We could go about this manually. Though this would be somewhat tedious, I have done it and attached it to this answer. Note that when the number of players is odd, an extra game has to be played to ensure that all entrants at that round of the tournament have played at least one game at that round. Note that there is no limit on the number of games a player can play; the only condition is that a player is eliminated once the player loses.

The sum of the figures in the third column is 999.

We could also use the formula for rooted trees to calculate the number of games that would be played.

$i=\frac{l - 1}{m - 1}$

where i is the number of "internal nodes," which represents the number of games played for an "m-ary" tree, which is the number of players involved in each game and l is known as "the number of leaves," in this case, the number of players.

The number of players is 1000 and each game involves 2 players. Therefore, the number of games played, i, is given by

$i=\frac{l - 1}{m - 1} = i=\frac{1000 - 1}{2 - 1} = \frac{999}{1} =999$

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1 year ago

A liquid vessel which is initially empty is in the form of an inverted regular hexagonal pyramid of altitude 25 feet and base ed

Misha Larkins [42]

Since: v =sqrt(3)/2 s^2h

6779 liters x 0.0353cu ft/1 liter= 239.299 cu ft
but by proportion s/h = 10/25
s = 10/25 h
and v = sqrt(3)/2 (10/25 h)^2 h
239.299 = 0.139 h^3

h = (239.299/0.139)^(1/3) = 11.985 ft

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2 years ago

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