A die is loaded in such a way that the probability of each face turning up is proportional to the number of dots on that face. (For example, a six is three times as probable as a two.) What is the probability of getting an even number in one throw?

Answers

Answer 1

Answer:

Answer:

simple, divide the number by two, round as needed. 6=3x as normal, 5=2.5x as nromal, etc.

Step-by-step explanation:

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Suppose we express the amount of land under cultivation as the product of four factors:Land = (land/food) x (food/kcal) x (kcal/person) x (population)The annual growth rates for each factor are:1. the land required to grow a unit of food, -1% (due to greater productivity per unit of land)2. the amount of food grown per calorie of food eaten by a human, +0.5%3. per capita calorie consumption, +0.1%4. the size of the population, +1.5%.Required:At these rates, how long would it take to double the amount of cultivated land needed? At that time, how much less land would be required to grow a unit of food?

-1 7/9 is the same as them sum of -2 5/6 and 1/3 times a number. what is the number?

Answers

-1 7/9= -2 5/6 + 1/3x
+2 5/6 to each side
-1 7/9 + 2 5/6 = 1 1/18

1 1/18 = 1/3x
Divide each side by 1/3

Answer is 3 1/6

Automobiles traveling on a road with a posted speed limit of 65 miles per hour are checked for speed by a state police radar system. The following is a frequency distribution of speeds. Speed (miles per hour) Frequency 45 up to 55 70 55 up to 65 360 65 up to 75 250 75 up to 85 110 (See the Excel Data File.) The mean speed of the automobiles traveling on this road is the closest to ________.

Answers

Answer:

The mean speed of the automobiles traveling on this road is the closest to 65 mph.

Step-by-step explanation:

frequency distribution of speeds.

Speed (mph) | Frequency

45 up to 55 | 70

55 up to 65 | 360

65 up to 75 | 250

75 up to 85 | 110

Using the midpoint method, we represent each group/class of speeds with the midpoint speed, then go ahead to compute the mean.

Let the speed be x

The frequency be f

x | f

50 | 70

60 | 360

70 | 250

80 | 110

Mean = (Σfx)/(Σf)

Σfx = (50×70) + (60×360) + (70×250) + (80×110) = 51,400

Σf = 70 + 360 + 250 + 110 = 790

Mean = (Σfx)/(Σf)

Mean = (51400/790) = 65.06 mph ≈ 65 mph

The mean speed of the automobiles traveling on this road is the closest to 65 mph

Hope this Helps!!!

Sin(5x)cos(9x)-cos(5x)sin(9x)=-.75
X=

Answers

x=70º this is the answer

IF U GET THE RIGGT ANSCER I WILL MARK U AS!! The prices and sizes of popcorn sold at local theaters are shown in the table. Popcorn Prices and Sizes at Different Theaters Ounces Price CinePlex 100 $8.25 Mr. Movie 96 $7.00 Stadium Cinema 112 $6.50 Theater Mania 136 $7.50 Which theater's popcorn is the best buy?
O Cine Plex
O Mr. Movie
O Stadium Cinema
O Theater Mania

Answers

Answer:

Theater mania

Answer:

ur answer is the last one TheaterMania

I took the test on Edg.

Step-by-step explanation:

Which of the following functions has the greatest y-intercept?f(x)
X: -3, -2, -1, 0, 1, 2
Y: 15, -8, -1, 3, 6, 10

g(x) = –4 sin(5x) + 3

Options:
A. f(x)
B. g(x)
C. f(x) and g(x) have the same y-intercept
D. Not enough information

Answers

Answer:

C. f(x) and g(x) have the same y-intercept

Step-by-step explanation:

To find the y-intercept, we need to plug in x = 0

f(x) is given in table values.

When x = 0, y = 3 from the table values.

Therefore, y-intercept of f(x) = 3

g(x) = -4 sin(5x) + 3

Plug in x = 0

y = -4 sin(5.0) + 3

y = -4 sin 0 + 3 [sin 0 = 0]

y = 0 + 3

y = 3

Therefore, y-intercept of g(x) = 3

Answer: C. f(x) and g(x) have the same y-intercept

Hope this will helpful.

Thank you.

C, just consider when x=0,find the y

A set of data whose histogram is extremely skewed yields a sample mean and standard deviation of 69.5 and 10.75, respectively. What is the minimum percentage of observations that:A. are between 48 and 91.

and

B. are between 37.25 and 101.75

Answers

I am a beautiful person who can help you with the new one of those who are interested

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