$\dfrac{\text{length of model}}{\text{length of ship}}=\dfrac{3}{32}\\\\\text{substitute}\\\\\dfrac{17}{x}=\dfrac{3}{32}\ \ \ |\text{cross multiply}\\\\3x=17\cdot32\\\\3x=544\ \ \ |:3\\\\x=\dfrac{544}{3}\approx181\ (in)$

7 0

3 years ago

Read 2 more answers

10. A company finds that 45% of first-time visitors to its website do not buy any of its products. If there are 75 first-time vi

vekshin1

Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.

For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

45% of first-time visitors to its website do not buy any of its products, hence 55% buy, that is, p = 0.55.

There are 75 first-time visitors on a given day, hence n = 75.

The probability that exactly 36 of them buy a product is P(X = 36), hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 36) = C_{75,36}.(0.55)^{36}.(0.45)^{39} = 0.044$

More can be learned about the binomial distribution at brainly.com/question/24863377

8 0

2 years ago

A car is driving northwest at vv mph across a sloping plain whose height, in feet above sea level, at a point nn miles north and

solong [7]

<span>Northwest is 45 degrees north of west. If a car travels a distance x miles northwest, its northerly component gains x/sqrt(2) miles and its easterly component LOSES xsqrt(2)/ miles.

Resultant height is h = 4500 + 100x/sqrt(2) - 75x/sqrt(2) = [25/sqrt(2)]x + 4500
dh/dt = [25/sqrt(2)]dx/dt = [25/sqrt(2)]v </span>

7 0

3 years ago

Please don’t just comment for points

masha68 [24]

1. no because 2x+10 is not equal to 2x+7
2. no. you cant add una like terms so 4x+4 doesn’t equal 8x
3. yes. the terms still retain their same value although they are not in the same order
4. yes. when u distribute the -3, you get -3x-6 which is of course equal to -3x-6

7 0

3 years ago