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Elenna [48]
2 years ago
15

The information for 2008 in millions in the table below was reported by the World Bank. On the basis of this information, which

list below contains the correct ordering of real GDP per person from highest to lowest?
Country GDP (Constant USS) GDP(Current USS) Population
Germany 2,091,573 3,649,493 82.11
Japan 5,166,281 4910,839 127.70
US 11,513,872 4,093.309 304.06

A. Japan, Germany, United States
B. Japan, United States, Germany
C. Germany, United States, Japan
D. Unied States, Japan. Germany
Mathematics
1 answer:
vaieri [72.5K]2 years ago
4 0

Answer:

The correct option is D

Step-by-step explanation:

This is the total value of goods produced and services provided in a country during a year

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According to the manufacturer, about 26% of sour candy in a package of Sandy's Sours are grape. What is the probability that the
Leto [7]

Answer:


Step-by-step explanation:

We assume that there are 100 sour candies, Thus-  

26 % of candy are grape implies that 26% of 100 candies are grape that is equal to 26

Now remaing candies that are not grape are 100-26 = 74

Based on the rule of multiplication:

P(A ∩ B) = P(A)/ P(B|A)  

 In the beginning, there are 26grape candies, probability of choosing first grape candy =  26C1 = 26

 After the first selection, we replace the selected grape candy so there are still 100 candies in the bag P(B|A) =  100C3 = 100 x 99 x 98 x 97!/3! X 97!

= 50 x 33 x 98

So probability =1/ 50 x 33 x 98 x 26

= 1/4204200



8 0
2 years ago
Read 2 more answers
A forest ranger is in a forest 2 miles from a straight road. A car is located c miles down the road. The forest ranger can walk
Tcecarenko [31]

Answer:

  • T(x) = (√(4+x^2))/2 +(c -x)/4
  • (a) x = 1.155 miles
  • (b) x = 1/2 mile

Step-by-step explanation:

The straight line distance from the starting point to the point x on the road is given by the Pythagorean theorem:

  d1 = √(2²+x²)

The time required to walk that distance in the woods (at 2 miles per hour) is ...

  time = distance / speed

  t1 = √(4+x²)/2

The remaining distance along the road to the car is ...

  d2 = c - x . . . . . for c > x

and the corresponding time at 4 mph is ...

  t2 = (c -x)/4

Then the total time is ...

  T(x) = t1 +t2

  T(x) = √(4+x²)/2 +(c -x)/4

__

(a) The value of x that minimizes total time is the one that makes the derivative zero.

  T'(x) = x/(2√(4+x²)) -1/4

  0 = (2x -√(4+x²))/(4√(4+x²))

  √(4+x²) = 2x . . . . . fraction is zero when numerator is zero; add radical

  4 +x² = 4x² . . . . . . square both sides

  4/3 = x² . . . . . . . . . subtract x², divide by 3

  x = (2/3)√3 ≈ 1.1547

If c = 9 miles, x = 1.1547 miles.

__

(b) For c < (2/3)√3, the shortest travel time will be along the straight-line path to the car.

If c = 1/2 mile, x = 1/2 mile.

8 0
2 years ago
A website randomly selects among 10 products to discount each day. The color printer of interest to you is discounted today. Det
Varvara68 [4.7K]

Answer:

a) P = 0.039

b) The expected number of days is 10 days.

Step-by-step explanation:

The most appropiate distribution to use in this case is the geometric distribution, in order to calculate the probability of a success after k failure trials.

The probability of success, as each of the 10 products are assumed to have fair probabilities, is:

p=1/10=0.1

Then, the probability that our product is not selected any given day is:

q=1-p=1-0.1=0.9

a) The probability that exactly this product is selected exactly 10 days from now is the probability that is not selected (probbility q) for the next 9 days and selected (probability p) at the 10th day:

P=q^9p^1=0.9^9\cdot0.1=0.3874\cdot0.1=0.039

b) The expected number of days is calculated as:

E(X)=\dfrac{1}{p}=\dfrac{1}{0.1}=10

6 0
2 years ago
at a restaurant, Trevor decides to tip the server 16% of the bill. If he leaves $4.00 tip, which proportion could be used to fin
Kazeer [188]
4\25 is the proportion of the percentage


5 0
2 years ago
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Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining wh
snow_tiger [21]

Answer:

Step-by-step explanation:

Corresponding fuel efficiencies of manufacturer A's car and manufacturer B's car form matched pairs.

The data for the test are the differences between the efficiencies of manufacturer A's car and manufacturer B's car

μd = fuel efficiency of manufacturer A's car minus the​ fuel efficiency of manufacturer B's car.

A B diff

32 28 4

27 22 5

26 27 - 1

26 24 2

25 24 1

29 25 4

31 28 3

25 27 - 2

Sample mean, xd

= (4 + 5 - 1 + 2 + 1 + 4 + 3 - 2)/8 = 2

xd = 2

Standard deviation = √(summation(x - mean)²/n

n = 8

Summation(x - mean)² = (4 - 2)^2 + (5 - 2)^2 + (- 1 - 2)^2 + (2 - 2)^2 + (1 - 2)^2 + (4 - 2)^2 + (3 - 2)^2 + (- 2 - 2)^2 = 44

Standard deviation = √(44/8

sd = 2.35

For the null hypothesis

H0: μd = 0

For the alternative hypothesis

H1: μd ≠ 0

This is a two tailed test and the distribution is a students t. Therefore, degree of freedom, df = n - 1 = 8 - 1 = 7

2) The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (2 - 0)/(2.35/√8)

t = 2.41

We would determine the probability value by using the t test calculator.

p = 0.047

Since alpha, 0.1 > the p value 0.047, then we would reject the null hypothesis. Therefore, at 1% significance level, we can conclude that there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles.

6 0
2 years ago
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