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Ket [755]
3 years ago
11

The Akashi-Kaikyo bridge in Japan is about 1 4/9 as long as the Golden Gate Bridge in San Francisco. The Golden Gate Bridge is a

bout 9,000 feet long. About
Mathematics
1 answer:
Kay [80]3 years ago
7 0
About 10,000 feet long.
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Lim θ→π/4 1 - tan θ / sin θ - cos θ
stiks02 [169]
Substitute the value of the variable into the expression and simplify, its theta arrow-to-the-right, pi/4 times 1-tan theta/sin theta - cos theta (i cant type the signs on computer, sorry
6 0
3 years ago
What is the conversion?
Gelneren [198K]

Answer:

  see below

Step-by-step explanation:

The conversion factor in the box is the product ...

  \dfrac{1\,\text{kPa}}{1000\,\text{Pa}}\cdot\left(\dfrac{1\,\text{m}}{100\,\text{cm}}\right)^3=10^{-9}\,\dfrac{\text{kPa m}^3}{\text{Pa cm}^3}

_____

The purpose of a conversion factor is to multiply by 1 in the form of a ratio that changes the units. We know that 1000 Pa = 1 kPa, so the ratio (1 kPa)/(1000 Pa) is the ratio of two equal quantities. It has the value 1 and will change units from Pa to kPa.

Likewise, 100 cm = 1 m, so (1 m)/(100 cm) will change the units from cm to m. However the given expression uses cm³, so we need to multiply by the conversion factor 3 times. That factor is ((1 m)/(100 cm))³ = (1 m³)/(10⁶ cm³).

To choose the appropriate conversion factor, look at the units you have (Pa, cm) and the units you want (kPa, m). Find the relationship these have to each other, and write the ratio so that it will cancel the units you have and leave the units you want.

When SI units are involved the prefixes help you out. k = kilo = 1000; c = centi = 1/100. It is worthwhile to get to know them.

8 0
3 years ago
Assume that when Human Resource managers are randomly selected, 62% say job applicants should follow up within two weeks. If 25
Alenkinab [10]

Using the binomial distribution, it is found that there is a 38% probability that exactly 18 of them say job applicants should follow up within two weeks.

<h3>How to find that a given condition can be modelled by binomial distribution?</h3>

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

The probability that out of n trials, there'd be x successes is given by

P(X =x) = \: ^nC_xp^x(1-p)^{n-x}

Binomial probability distribution  

P(X =x) = \: ^nC_xp^x(1-p)^{n-x}

The parameters are:

n is the number of trials.

x is the number of successes.

p is the probability of success on a single trial.

In this problem:

62% say job applicants should follow up within two weeks, p = 0.62

25 managers are selected, n = 25

The probability that exactly 18 of them say job applicants should follow up within two weeks is P ( X = 18)

P( X > 18) = 1 -  ( X = 18)

= 1 - 0.62

= 0.38

38 % probability that exactly 18 of them say job applicants should follow up within two weeks.

Learn more about binomial distribution here:

brainly.com/question/13609688

#SPJ1

8 0
1 year ago
QUICK !<br> What is the image point of (5,-5) after a translation right 2 units and up 3 units ?
faust18 [17]

Answer:

(7,-2)

Step-by-step explanation:

First, you move to the right of y-axis like 5 to 7,

then you movie to the up of x-axis like -5 to -2.

So the answer was (7,-2)

5 0
3 years ago
Solve the equation. 5x + (2x + 40) = 180. What are the two angle measures of this supplementary angle?
satela [25.4K]
It is 5 and 6 supplementary
5 0
3 years ago
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