Let the random variable X be a random number with the uniform density curve in the figure below. Find the following probabilities. O P(X 2 0.35) O P(X = 0.35) O P(0.35 < X < 1.25) O P(0.10 < X < 0.20 or 0.6 < X < 0.9) O X is not in the interval 0.5 to 0.6.

Answers

Answer 1

A continuous random variable is one that has a range of possible values. In other words, if a random variable adopts a value that fits within a specific range, it is said to be continuous.

Measurements like height, weight, and time are all represented by continuous random variables. A continuous random variable is represented as the area under a density curve. The concept of a continuous random variable, as well as its mean, variance, types, and related examples

P(X < 0.35) = 0.35

P(X = 0.35) = 0 since X is a continuous random variable and the probability of a specific value is 0.

P(0.35 < X < 1.25) = 1.25 - 0.35 = 0.9

P(0.10 < X < 0.20 or 0.6 < X < 0.9) = (0.20 - 0.10) + (0.9 - 0.6) = 0.3

P(X < 0.5 or X > 0.6) = (0.5 - 0) + (1 - 0.6) = 0.9

To know more about random variables refer to:

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Related Questions

please help me solve this geometry problem:)

Answers

Given:

The endpoints of a line segment are (-5,12) and (-5,0).

To find:

The coordinates of a points which divides the line segment in 2:1.

Solution:

Section formula: If a point divides a line segment in m:n.

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Let point P divides the given line segment in 2:1. They, by using section formula, we get

[tex]P=\left(\dfrac{2(-5)+1(-5)}{2+1},\dfrac{2(0)+1(12)}{2+1}\right)[/tex]

[tex]P=\left(\dfrac{-10-5}{3},\dfrac{0+12}{3}\right)[/tex]

[tex]P=\left(\dfrac{-15}{3},\dfrac{12}{3}\right)[/tex]

[tex]P=\left(-5,4\right)[/tex]

Therefore, the coordinate of the point that partitions the given segment in the ratio 2:1 are (-5,4).

BRAILIEST for correct answer!! Pls help
What's the slope of a line that passes through (−12,15) and (0,4)?

Answers

Answer:

-11/12

Step-by-step explanation:

slope for points (x1,y1) and (x2,y2)

slope=(y2-y1)/(x2-x1)

(x,y)

(-12,15)

(0,4)

x1=-12

y1=15

x2=0

y2=4

slope=(4-15)/(0-(-12))=-11/(0+12)=-11/12

Answer:

Slope: -11/12x

Step-by-step explanation:

Slope-intercept equation:

y = mx + b

(m = slope)

The formula for slope is below.

m = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

With your two points, you can accurately determine your slope.

(-12, 15) (0,4)

x1 = -12

y1 = 15

x2 = 0

y2 = 4

Apply this information in the slope formula to get:

[tex]\frac{4 - 15}{0 - -12}[/tex]

Change the 0 - -12 to 0 + 12

[tex]\frac{4 - 15}{0 + 12}[/tex]

4 - 15 = -11

0 + 12 = 12

Place -11 and 12 into a fraction.

[tex]\frac{-11}{12}[/tex] OR -11/12

Add "x" to the end from "mx" within the slope-intercept equation

-11/12x

Which of the following points have a distance of five units between them? Select all that apply 

A.)(-2,5) and (3,7)
B.)(10,5) and (7,9)
C.)(1,10) and (6,5)
D.)(-4,-8) and (-4,-5)
E.)(2,-5) and (6,-8)

Answers

Answer:

C. (1, 10) and (6, 5)

Step-by-step explanation:

To find the point with a distance of 5 units.

Let the points be x and y.

x = x1 and x2

y = y1 and y2

x2 - x1 = 5 units

y2 - y1 = 5 units.

A quick look at the options, we can tell that the correct option is C.

From points (1, 10) and (6, 5)

x1 = 1, x2 = 6, y1 = 10 and y2 = 5

Substituting into the equation above, we have;

x2 - x1 = 6 - 1 = 5 units

y2 - y1 = 5 - 10 = -5 units.

Therefore, option C with points (1,10) and (6,5) have a distance of five units between them.

7/16+3/8

Simplify or answer in regular fractions or improper fractions

Answers

Answer:

hope it helps you

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Answer:

13/16

Step-by-step explanation:

Turn [tex]\frac{7}{16} +\frac{3}{8}[/tex] into [tex]\frac{7}{16} +\frac{6}{16}[/tex]

If both denominators are the same the number it makes it easier to add.

Since 8*2 is 16 you have to do 3*2 in order for 3/8 and 6/16 to be equivalent.

then add the top numbers, not the bottom bc the bottom stays the same.

7+6=13 so the answer is 13/16

hope that helps:)

what is the meaning of XII in roman numeral​

Answers

Answer:

its 12 in mathematics....

Are there any vertical, complimentary, or any supplementary angles here ? And label for ex. 1 supplementary

Answers

Supplementary: 1 and 2 & 3 and 4

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: 1 and 3 & 2 and 4

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary: None

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $900. Her goal is to raise more than $10,740. How many more T-shirts, x, does Carlene need to sell to reach her goal?

Select the number line that includes the fewest number of T-shirts Carlene can sell and still meet her goal.

Answers

*T-shirt=‘’X’’ for solving equations*

1. $20.50X + $900= $10,740
2. Subtract $900 to both side
3. $20.50X= $9,840
4. Divided $20.50 to both side
5. X=480

Answer: Carlene need 480 more T-shirts to sell to reach her goal.


Check answer:

1. X=480
2. $20.50(480) +$900=$10,740
3. $20.50(480)=$9,840
4. $9,840 + $900= $10,740
5. $10,740=$10,740( check, so it’s percent correct)

WHAT IS THE PRUDTUCT OF 7\9 AND 6 A. 1 4/9 B. 3 7\9 C. 4 2\3 D. 7 5\7

Answers

Answer:

C.

Step-by-step explanation:

Write the ratio as a fraction in lowest terms. Be sure to make necessary conversions:

12 feet to 15 inches


------/---------

Answers

Answer:12533

Step-by-step explanation:

When 2 times a number is increased by 9, the answer is the same as
when 30 is decreased by the number. Find the number. HELP ME

Answers

Answer:

its 7

Step-by-step explanation:

why did u delete my answer if its right?

A scientist wanted to measure the constant rate of the current in a particular section of the river. She released a tracker into the river. The tracker sent her back the following information:
After 3.5 seconds since the tracker was released into the river the tracker had traveled 5.5 meters.
After 10.9 seconds since the tracker was released into the river the tracker had traveled 16.5 meters.
What is the constant rate of the current?

Answers

Answer:

1.486m/s

Step-by-step explanation:

The rate of change is defined as the change in distance divided by the change in time

Rate = ∆distance/∆time

Distance = 16.5 and 5.5

Time = 10.9 and 3.5

When we put this into the formula above, we have:

Rate of change = 16.5 - 5.5 / 10.9 - 3.5

= 11/7.4

= 1.486m/s

The constant rate of change has been calculated to be equal to 1.486m/s

You can use the fact that the rate of the change of a value when some other independent value changes is the ratio of change in the dependent variable to the change in the independent variable.

The constant rate of the current is given by 1.4865 meters per second.

How to measure the rate of change of something as some other value changes?

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

How to measure the constant rate of the current for the given situation?

The distance traveled by the tracker depends on the time passed.

Let the variable "t" tracks the amount of time passed and let the variable "d" tracks the distance traveled by the tracker, then we have:

[tex]\rm At \: t = t_1 = 3.5, d=d_1 = 5.5 \: m\\At \: t = t_2 = 10.9, d = d_2 = 16.5 \: m[/tex]

Thus, the constant rate of current is obtained by

[tex]Rate = \dfrac{d_2 - d_1}{t_2 - t_1} = \dfrac{16.5 - 5.5}{10.9 - 3.5} = \dfrac{11}{7.4} \\\\Rate \approx 1.4865 \: \text{meters per second}[/tex]


Thus,

The constant rate of the current is given by 1.4865 meters per second.

Learn more about rate of change here:

https://brainly.com/question/2460159

An automobile manufacturer claims that its car has a 57.7 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 210 cars, they found a mean MPG of 57.4. Assume the standard deviation is known to be 1.9. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.

Answers

Answer:

The value of test statistic

   |Z| = |-2.2883| = 2.2883

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 57.7miles/gallon

The standard deviation of the Population = 1.9

The mean of sample x⁻ = 57.4

Given that the sample size 'n' =210

level of significance = 0.1

Step(ii):-

Test statistic

        [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

       [tex]Z = \frac{57.4-57.7}{\frac{1.9}{\sqrt{210} } }[/tex]

      Z = -2.2883

  |Z| = |-2.2883| = 2.2883

Final answer:-

The value of test statistic

   |Z|  = 2.2883

The population of a city decreases by 4.6% per year. If this year's population is
329,000, what will next year's population be, to the nearest individual?

Answers

Answer:

Your answer

313866

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

Enter the correct value in the space provided
Mariah is shopping at the mall for a sweatshirt. She finds a sweatshirt that is marked down 55% off the original price. The original price of the sweatshirt is $78.25. what is the sale price of the sweatshirt

Answers

Answer:

$35.21

Step-by-step explanation:

100%:$78.25

45% :$?

100?=78.25×45

?= 78.25×45/100

=$35.21

Answer: $35.21

Step-by-step explanation: 100%:$78.25

45% :$?

100?=78.25×45

?= 78.25×45/100

=$35.21


[tex] \frac{ \sqrt{40} }{ \sqrt{3} } [/tex]

Answers

Answer:

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]

Step-by-step explanation:

Given

[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]

Required

Simplify

[tex]\frac{ \sqrt{40} }{ \sqrt{3} }[/tex]

Rationalize:

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40} }{ \sqrt{3} }*\frac{ \sqrt{3} }{ \sqrt{3} }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{40*3} }{ \sqrt{3*3} }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ \sqrt{9} }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{120} }{ 3 }[/tex]

Expand the numerator

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4*30} }{ 3 }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ \sqrt{4}*\sqrt{30} }{ 3 }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{ 2*\sqrt{30} }{ 3 }[/tex]

[tex]\frac{ \sqrt{40} }{ \sqrt{3} } =\frac{2\sqrt{30} }{ 3 }[/tex]

At a recent soccer game at Red Bulls stadium, 7500 fans were rooting for the New England Revolution while 17,500 fans were rooting for the New York Red Bulls. What percent of the soccer fans were rooting for the New England Revolution?

Answers

Answer:

30%

Step-by-step explanation:

add the number of fans together: 7500+17500 = 25000

write as fraction, fans of New England Revolution over total number: 7500/25000

simplify or use calculator: 3/10 or 0.3

convert fraction or decimal to percentage: 30%

Daniel has a total collection of 200 marbles. 10% of them are red. How many are red marbles in his collection? What is missing in the problem?

Answers

Answer:

40(i think)

Step-by-step explanation:

The store bought a table for $150, and sold it for $240. What percentage was the markup?

Answers

Answer:50%

Step-by-step explanation:

Answer:

the bought 65% porcentege

Given that a linear function goes through the points (3,2) and (5, 6) determine the slope
of the line.

Answers

Answer:

2

Step-by-step explanation:

The formula of slope from 2 points is change in y divided by change in x, so you can apply that to this problem.

First, find the change in y between the two points. To do this, do y2 - y1.

y2 = 6 and y1 = 2, so you have 6 - 2 = 4.

Next, find the change in x between the two points. To do this, do x2 - x1.

x2 = 5 and x1 = 3, so you have 5 - 3 = 2.

All you're really doing here is finding the distance between the x values and the y values of the points, if that makes sense.

The last step is to do change in y divided by change in x, so 4 / 2 = 2.

This means that the slope of the line is 2.

vending machine dispenses hot chocolate or coffee. Service time is 30 seconds per cup and is constant. Customers arrive at a mean rate of 80 per hour, and this rate is Poisson-distributed. Determine the following: a. The percentage of time the machine is busy b. The average number of customers waiting in line c. The average time customers spend in the system d. The average number in the system

Answers

Answer:

0.667 ;

0.667 customers ;

0.0166708 hour ;

1.334 customers

Step-by-step explanation:

Given that:

Service time (μ) = 30 seconds ; 2 customers per minute ; 2 * 60 = 120 customers per hour

Arrival time, λ = 80 customers per hour

a.) percentage of time machine is busy (p) ; Utilization factor :

P = λ/ μ = 80 / 120 = 0.667

b.) average number of customers waiting in line Li = p² / 2(1-p)

= 0.667² / 2(1-0.667) = 0.667 customers

c) Average time customer spend in the system = Li/λ + 1/μ

= (0.667 / 80) + (1 / 120)

0.0083375 + 0.0083333

= 0.0166708 hour

= 0.0166708 * 60 = 1.00025 minutes

D) average number in the system ;

Li + p

= 0.667 + 0.667 = 1.334 customers

Your friend says that the solutions to the inequality 7x-20x<52 are x<-4 Solve the inequality correctly. What error did your friend​ make?
What are the solutions of the​ inequality?

Answers

Answer:

instead of x < -4 it should be x > -4

Step-by-step explanation:

7x - 20x < 52

subtract 20x from 7x which is -13x

now the equation is -13x < 52

divide both sides by -13 but when you divide by a negative you switch the sign so it would x > -4 not x < -4

hope this helps :)

-1 subtracted by 2.5 ​

Answers

Answer:

-3.5

Step-by-step explanation:

Find the value of x.
a) 21
b) 27
c) 31
d) 34

Answers

Answer:

21 is the answer

a question arises how?? right

so, 3x+1

3×21+1

63+1

64

Answer:

a) 21

Step-by-step explanation:

Since, in the figure

64° = (3x+1)° [Vertically Opposite Angles]

=> (3x+1)° = 64°

=> 3x = 64° - 1° = 63°

[tex] => x = \frac{63}{3} [/tex]

=> x = 21 (Ans)

Out of 4/10, 3/4, 2/5, and 1/3 which fraction is the biggest?

Answers

Answer:

3/4

Step-by-step explanation:

3/4 = .75

4/10 = .40

2/5 = .40

1/3 = .33

Answer:

3/4 is greater then 4/10 and 2/5 is greater then 1/3 and that's all I know

Step-by-step explanation:

Sam has saved 1400 cents from selling lemonade how many dollars does Sam have

Answers

Answer: $14.

Step-by-step explanation: 100 cents is equal to 1 dollar. 1400 cents divided by 100 cents = 14. Therefore, you have 14 dollars.

WILL GIVE BRAINLIEST

A Fast Food Restaurant is offering 5 different toys in a kid's meal. A simulation was conducted to predict how many kid's meals must be bought in order to get all 5 toys. The results of 30 trials are shown in the stem and leaf plot below. (Each data point represents the number of kid's meals one person had to buy to receive all 5 toys.)

Based on the results of the simulation, what is the total number of people out of 200 who would need to buy less than 10 boxes of cereal to get all 5 toys?  Show or Explain or work.

Answers

Answer:

Step-by-step explanation:

look for the stem and leafs that are less than 10 and add them all up

5+7+9

Find the midpoint between each pair of points.
13. (7,-2) (-4,2)
BONUS POINTS IF RIGHT

Answers

Ok the mid point is 3/2,0

Solving
This figure is made up of two rectangular prisms.
12 in.
What is the volume of the figure?
in.
Enter your answer in the box.

2 in.
7 in.
in
21 in.
1
2.
3
4

Answers

Answer:

The question is invalid. Please provide a diagram.

NEED HELP ASAPPP please

Answers

Answer:

it might be d I am not shore but I think that one sounds the best branley is making me do this to sigh. up sorry donjot use this

Melanie and Mark borrowed $2500 at a simple interest rate of 7% for a period of 3 years. What was the interest?

Answers

Answer:

525 $

Step-by-step explanation:

Amount borrowed = $2500

Rate = 7%

Time = 3 years

therefor interest = $2500 X 7/100 X 3

     Hope it help You

Other Questions
let g be a group with the property that for any x, y, z in the group, xy 5 zx implies y 5 z. prove that g is abelian. ("left-right cancellation" implies commutativity.) Balance the reduction half-reaction below in acid solution. How many electrons are in the balanced half-reaction?Cr2O7 2-(aq) Cr3+(aq) F-statistics computed using maximum likelihood estimatorsA) cannot be used to test joint hypothesisB) are not meaningful since the entire regression R2 concept is hard to apply in this situationC) do not follow the standard F distributionD) can be used to test joint hypothesis A DC voltage source is connected to a resistor of resistance R and an inductor with inductance L, forming the circuit shown in the figure. For a long time before t=0, the switch has been in the position shown, so that a current I0 has been built up in the circuit by the voltage source. At t=0 the switch is thrown to remove the voltage source from the circuit. This problem concerns the behavior of the current I(t) through the inductor and the voltage V(t) across the inductor at time t after t=0.A) From t=0 onwards, what happens to the voltage V(t) across the inductor and the current I(t) through the inductor relative to their values prior to t=0?B) What is the differential equation satisfied by the current I(t) after time t=0?Express dI(t)dtin terms of I(t), R, and L.C) What is the expression for I(t) obtained by solving the differential equation that I(t) satisfies after t=0?Express your answer in terms of the initial current I0, as well as L, R, and t.D) What is the time constant of this circuit?Express your answer in terms of L and R? the portion of the obligation that plan participants are entitled to receive tim is sitting in his car with satellite radio on. as a song plays, sound is received by his ear. this reflects which part of the listening process? using the standard reduction potentials in appendix e, calculate the standard voltage generated by the hydrogen fuel cell in acidic solution. the desire to protect yourself from an object yield motivation a.approach b.avoidance c.conflict d.biogenic what are the objectives of audit risk assessment, and why is it important to assess the likelihood that fraud might occur? how might the assessment influence the auditors' evaluation of icfr? how to get the most money from insurance for totaled car A designer is making a sample design that will use 3 different kinds of tiles. The designer has 9 different kinds of tiles from which to choose. How many possible combinations of tiles can the designer choose? The designer will create a sample design by placing 3 tiles side by side. How many different sample designs can the designer make from the 3 chosen tiles? Is it posible thet the hight of student is 06kg? if yes why,if no giv resion and do carect the statment if distance frome your hom to collage is 6km sappose you want chenga in mitter form what chenges you do As you are walking across your laboratory, you notice a 5.25 L flask containing a gaseous mixture of 0.0205 mole NO2 (9) and 0.750 mol N204() at 25C. Is this mixture at equilibrium? If not, will the reaction proceed towards forming more products, or more reactants? N204(0) 2NO2 (g) Kc = 4.61 x 10-3 at 25C A. The answer cannot be determined with the given information. B. The mixture is not at equilibrium and will proceed towards forming more product C. The mixture is not at equilibrium and will proceed towards forming more reactants. D. The mixture is at equilibrium. a stock has a beta of 1.09 and an expected return of 9.34 percent. if the stock's reward-to-risk ratio is 6.38 percent, what is the risk-free rate? Hemophilia is inherited exactly like colorblindness. The dominant allele calls for normal clotting time of the blood In general, an unauthorized or unintended methods of communications hidden inside a computer system. 1) Covert channel 2) Reference monitor 3) Storage channel 4) Timing channels 5) Trusted computing base are brandywine tomatoes determinate or indeterminate after world war ii, many countries in asia discarded import substitution and opted for a form of economic development known as 7. A mass of 1,000 kilograms of water drops 10. 0 meters down a waterfall everyHow much potential energy is converted into kinetic energy every secondWhat is the power of the waterfall in watts and in horsepower bernice pauahi bishop, granddaughter of kamehameha i, was responsible for providing recourse to which social care with her land trust?