The random-number generator on calculators randomly generates a number between 0 and 1. The random variable X, the number generated, follows a uniform probability distribution.
(a) Identify the graph of the uniform density function.
(b) What is the probability of generating a number between 0.01 and 0.34?
(c) What is the probability of generating a number greater than 0.95?
Answers
Using the uniform distribution, we have that:
a) The graph is sketched at the end of this answer.
b) 0.33 = 33% probability of generating a number between 0.01 and 0.34.
c) 0.05 = 5% probability of generating a number greater than 0.95.
An uniform distribution has two bounds, a and b.
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
In this problem, uniformly distributed between 0 and 1, thus [tex]a = 0, b = 1[/tex].
Item b:
[tex]P(0.01 \leq X \leq 0.34) = \frac{0.34 - 0.01}{1 - 0} = 0.33[/tex]
0.33 = 33% probability of generating a number between 0.01 and 0.34.
Item c:
[tex]P(X > 0.95) = \frac{1 - 0.95}{1 - 0} = 0.05[/tex]
0.05 = 5% probability of generating a number greater than 0.95.
A similar problem is given at https://brainly.com/question/24746230
Related Questions
Use the given property to complete the statement.
Distributive Property
3(x-1)= 3x - ?
A) -1
B) -3
C) 1
D) 3
Answers
Answer:
It is D
Step-by-step explanation:
Given that sin 2x = cos(2x - 30). Find the value of tan x.
Answers
Answer:
x=30o+n90on∈Z
Step-by-step explanation:
cos2x=sin(90o−2x)=sin(2x−30o)
Which mean 90o−2x=2x−30o+n360o
or 90o−2x+2x−30o=(2n+1)180o
The later cannot be true.
so x=30o+n90on∈Z
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The value of tan x is :
[tex]\boxed{ \boxed{ \frac{1}{ \sqrt{3} } }}[/tex]solution is in attachment !
The price of 1kg of potato is ₹ 8 1/2
What will be the price of 2 1/4
kg of potato.
Answers
Answer:
₹ 19 1/8.
Step-by-step explanation:
That is 8 1/2 * 2 1/4
= 17/2 * 9/4
= 153/8
= 19 1/8.
Answer:
₹ 19.125 or ₹ 19 1/8
Step-by-step explanation:
1 kg = ₹ 8 1/2
2 1/4 kg = x
8 1/2 can be written as 8.25
2 1/4 can be written as 2.25
To find x:
1. Multiply both sides by 2.25:
1kg × 2.25 = 2.25kg
₹ 8.5 × 2.25 = ₹ 19.125
Answer = ₹ 19.125 or ₹ 19 1/8
Solve for k
10/3 = k/9
K =
Answers
(10/3)9=k
30=k
Answer:
[tex]K=30[/tex]
Step-by-step explanation:
[tex]rewrite \: the \: equation \: as \: \frac{k}{9} = \frac{10}{3} [/tex]
[tex] \frac{k}{9} = \frac{10}{3} [/tex]
[tex]multiply \: both \: sides \: of \: the \: equation \: \\ by \: 9.[/tex]
[tex]9. \frac{k}{9} = 9. \frac{10}{3} [/tex]
[tex]simplify \: both \: sides \: of \: the \: equation.[/tex]
[tex]cancel \: the \: common \: factor \: of \: 9.[/tex]
[tex]cancel \: the \: common \: factor.[/tex]
[tex]9. \frac{k}{9} = 9. \frac{10}{3} [/tex]
[tex]rewrite \: the \: expression.[/tex]
[tex]k = 9. \frac{10}{3} [/tex]
[tex]cancel \: the \: common \: factor \: of \: 3.[/tex]
[tex]factor \: 3 \: out \: of \: 9.[/tex]
[tex]k=3(3)⋅ \frac{10}{3} [/tex]
[tex]cancel \: the \: common \: factor.[/tex]
[tex]k=3⋅3⋅ \frac{10}{3} [/tex]
[tex]rewrite \: the \: expression.[/tex]
[tex]k=3⋅10[/tex]
[tex]multiply \: 3 \: by \: 10.[/tex]
[tex]k = 30[/tex]
(-5) X ? =-15 find the missing number
Answers
Answer:
3
Step-by-step explanation:
(-5) × ? = (-15)
? = (-15)/(-5)
? = 3
3
Step-by-step explanation:(-5) × ? = -15
? = -15 ÷ (-5)
? = 15 ÷ 5
? = (3 × 3 × 3) <= 3 Factor
? = 3
Conclusion:Value of ? is 3.
[tex] [/tex]
To host an event at a popular convention center, it costs $300 plus $45 per person attending.
Step 2 of 3 : How much would you need to charge each attendee in order to cover the cost of hosting the event if 30 people were attending?
Answers
Answer:
(300 + 45x) /x
Step-by-step explanation:
Total cost will be the addition of the fixed cost and the variable cost which will be:
= 300 + (45 × x)
= 300 + 45x
Amount that needs to be charge for each attendee in order to cover the cost of hosting the event will be:
= (300 + 45x) / x
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
Answers
Answer:
- ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.
- If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Step-by-step explanation:
PLEASE ANSWER THESE QUICK I NEED HELP PLEASE ITS ALGEBRA
1. Describe the graph of y = -|x + 4| - 5.
2. Describe how to use the Vertical Line Test and what it can tell us.
Answers
Step-by-step explanation:
1.) y = - |x - 4| - 5 is an absolute value graph, where its vertex occurs at point (4, -5). The general form of the absolute value function is y = a |x – h| + k, where where:
a ≠ 0, and the value of a determines whether the graph opens up or down. If a is between 0 and 1, the graph is wider than the parent function.(h, k ) represents the vertex.The given absolute value function, y = - |x - 4| - 5 is a downward-facing graph, where it is translated 4 units to the right (as given by the value of h = 4), and 5 units downward (as given by the value of k = 5).
2.) The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function. To use the vertical-line test, imagine dragging a ruler held vertically across the graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value. If you do this for the given graph, every vertical line intersects the graph in at most one point.
Attached is the graph of the given function, where I performed the Vertical Line Test. As evidenced in the graph, every green vertical line intersects the graph at exactly one point (red dots on the graph). Thus, the graph passed the Vertical Line Test, thereby qualifying as a function.
Please mark my answers as the Brainliest if you find this explanation helpful :)
A positive integer is twice another. The sum of the reciprocals of the two positive integers is
314
314
. Find the two integers.
Answers
Answer:
628
Step-by-step explanation:
add 314 and 314 together
Find the probability of getting a number greater than 5 when a die is rolled one time
Answers
Answer:
50%
Step-by-step explanation:
If a=4,b=5 and c=6,find 2c-a-b
Answers
Someone please hurry and help with number 2a and 2b!!!! Will give brainliest
Answers
Answer:
2a. It will be 6 inches tall
2b. B
2b. B
HELP WILL GIVE BRANLIEST!
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Answer:
I'm pretty positive it's All real answers?
:)fftcyctcyycycgccyvyctycgccy
Answers
Answer:
:)fftcyctcyycycgccyvyctycgccy
Step-by-step explanation:
4. Suppose bank customers arrive randomly on weekday afternoons at an average of 32
customers every 4 minutes. What is the probability of exactly 5 customers arriving in a 4 minute interval on a weekday afternoon?
Answers
Answer:
3/7
Step-by-step explanation:
hope this helps :)
What is the next term of the arithmetic sequence? -7 -7 1 5 9
Answers
Answer:
No solution, this is not an arithmetic sequence
Step-by-step explanation:
An arithmetic sequence is the same number being added over and over. This is not the case.
Which is the equation of the circle that has a diameter with endpoints located at (0, –3) and (6, 5)?
(x – 6)^2 + (y – 5)^2 = 100
(x – 3)^2 + (y – 1)^2 = 25
x^2 + (y + 3)^2 = 100
(x – 5)^2 + y^2 = 25
Answers
The equation of the circle that has a diameter with endpoints located at (0, –3) and (6, 5) is;
(x – 3)² + (y – 1)² = 25The midpoint of the diameter of a circle is it's center.
As such; the coordinates of its center are;
x = (0 + 6)x = 3y = (-3 + 5)/2y = 1The coordinates of the center are then; (3, 1)
The radius of a circle is half the length of the diameter;
Radius, r = d/2where; d = √(6-0)² + (5-(-3))²d = √36 + 64d = √100d = 10Therefore, radius, r = 10/2 = 5.
Therefore, the equation of the circle usually takes the form;
(x -f)² + (x -g)² = r²In this scenario; the equation is;
(x – 3)² + (y – 1)² = 25.Read more;;
https://brainly.com/question/16646649
Help me plss!!!!!!!!!!!!!!!!!
Answers
Answer:
c
Step-by-step explanation:
For the points (3.1, -13.4) and (0.1, -9.4), (a) Find the exact distance between the points. (b) Find the midpoint of the line segment whose endpoints are the given points. Darts
Answers
i can't type because im slow
Espanol
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Suppose that the annual rate of return for a common biotechnology stock is normally
distributed with a mean of 5% and a standard deviation of 5%. Find the
probability that the one-year return of this stock will be positive. Round your answer to at least four decimal places.
х
5
?
Answers
Step-by-step explanation:
state that the state that the atmosphere around the earth is different from those Around The Other plants of the geography class 9th in short The warmer and less dense air near the ground rises during the day pulling more air through the valley floor. This gentle upslope wind known as a valley breeze. ... The cooler and denser air at higher elevations flows back down the slopes of the mountain and into the valley. This is called a mountain breeze.29-May-2017

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Mountain and Valley Breezes - WeatherNation
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A mountain breeze and a valley breeze are two related, localized winds that occur one after the other on a daily cycle. They are not the same as anabatic and katabatic winds, which are larger and stronger. These winds are opposite from each other. Wikipedia
The probability that the one-year return of this stock will be positive is 0.8849.
What is Normal Distribution?A data collection with a normal distribution is put up so that the majority of the values cluster in the middle of the range and the remaining values taper off symmetrically in either direction.
The random variables whose values can locate any unknown value within a defined range are those that follow the normal distribution. for instance, determining the school's student population's height.
Given:
A data is normally distributed with a mean of 5%.
and a standard deviation of 5% .
So, z- score
z(0) = (0-5)/5
z(0) = -1
and, the probability that the one-year return of this stock will be positive
P(x> 0)
= P(z > -1)
= normalcdf(-1.125,100)
= 0.8849
Learn more about Normal Distribution here:
https://brainly.com/question/15103234
#SPJ5
How does decreasing only the mass change an objects density
Answers
?
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Can someone tell me what a linear function is? Sorry, I'm just really confused. Whoever replies first will get marked Brainliest!! (Also, I am giving 50 points.)
Answers
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.
Answer:
A linear function is described below
Step-by-step explanation:
A linear function describes a proportional relationship in with 1 input has only 1 output, however more than one input may have the same output. There may be many steps to find the outcome of an input
One of the legs of a right triangle measures 12 cm and the other leg measures 9 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
שת
Answers
Answer:
15
Step-by-step explanation:
Ok, first the formula for this is a^2+b^2=c^2
or leg^2+ leg^2= hypotenuse^2
so (12)^2+(9)^2=hy^2
144+81, 225=hy^2
hy=square root of 225: 15
What is the component form of the vector
that maps ABC to A'B'C?
Answers
Answer:hello
Step-by-step explanation:
ok now poop
find the sum of 29 and the product of 2 and 9 and the difference between 2and9
Answers
Answer:
sorry bro im just getting points
4. What is the hypothesis of the following conditional statement?
Conditional Statement: If a figure has three sides, it is a triangle.
Notebo...
0 If it is a triangle, a figure has three sides.
O A figure has three sides.
O A triangle has three sides,
O It is a triangle.
Answers
Answer:
A) If it is a triange, the figure has 3 sides.
Step-by-step explanation:
The first half or in this case, the thing is the conclusion statement
Answer:
B: A figure has three sides.
Step-by-step explanation:
The hypothesis is the first part of the conditional statement.
Graph the line with y-intercept 1 and slope 3.
Answers
The ratio of boys to girls in school is
11:10. If there are 525 students in the
School, How many boys?
Answers
How to get it: the ratio is 11:10 , therefore in total there is 21 to the ratio, (11+10), divide 525 by 21 and you get 25. To find out one side of the ratio you x25 by the side of the ratio you need, for this it would be 11x25, which is 275.
Aloysius was 3 times as old as his son 8 years ago. How old is his son now if
their total age is 68 years now?
Answers
9514 1404 393
Answer:
21
Step-by-step explanation:
8 years ago, both were 8 years younger, so the total of their ages would have been 68 -2×8 = 52. If the ratio of their ages was 1 : 3, then the son's age then was 1/(1+3) = 1/4 of the total. 1/4×52 = 13.
Now, 8 years later, the son's age is 13 +8 = 21.
__
Then, Aloysius was 3×13 = 39. Now, Aloysius is 39+8 = 47, and the sum of their ages is 21 +47 = 68, as required.
solve pls brainliest
Answers
15 + 2c ???
The sum of 15 and twice Carlos' age.
The sum would be addition. So;
[tex]15\: +[/tex]
Twice means 2 times Carlos' age. And [tex]c[/tex] is the variable, so;
[tex]15+2c[/tex]
Note that 2 and c together like that is multiplication.