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3 years ago

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70 - 5x = number of people waiting in line to buy tickets x minutes after a ticket booth opened is given by 70 - 5x. What does t

he value of 70 represent

1 answer:

Snowcat [4.5K]3 years ago

4 0

Answer:

The 70 represents the number of people waiting to by tickets at the exactly moment when the ticket booth is opened.

Step-by-step explanation:

The 70 represents the number of people waiting to by tickets at the exactly moment when the ticket booth is opened.

You can see this by setting the x value to 0, it is, in the precise moment when the booth opened (as x cant be negative, because there is no negative time, you could also think of 70 as the number of people waiting before the booth opens).

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The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

or

$xy = 9 - - - (2)$

l

and

$\frac{x + y}{2} = 5$

or

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

3 0

3 years ago

g At a certain gas station, 30% of all customers use the restroom. What is the probability that, out of the next 10 customers, (

Kruka [31]

Answer:

$P(x=4) = 0.200$

Step-by-step explanation:

Given

$n=10$ --- selected customers

$x = 4$ --- those that are expected to use the restroom

$p =30\% = 0.30$ --- proportion that uses the restroom

Required

$P(x = 4)$

The question illustrates binomial probability and the formula is:

$P(x) = ^nC_x * p^x * (1 - p)^{n - x}$

So, we have:

$P(x=4) = ^{10}C_4 * (0.30)^4 * (1 - 0.30)^{10 - 4}$

$P(x=4) = ^{10}C_4 * (0.30)^4 * (0.70)^6$

$P(x=4) = 210* (0.30)^4 * (0.70)^6$

$P(x=4) = 0.200$

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3 years ago

If it take 10 hours to get 50% how many hours are 32%

love history [14]

ANSWER

6.4 hours

EXPLANATION

if it takes 10 hours to get 50%, then it will take less number of hours to get 32%

We use proportion to solve this question.

If less more divides.

The number of hours it will take to get 32% is

$= \frac{32\% \times 10}{50\%}$

$= 6.4$

Hence it will take 6.4 hours to get 32%

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Naddika [18.5K]

Answer: - 8?? sorry if im wrong

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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