The lengths of a professor's classes has a continuous uniform distribution between 60.0 min and 90.0 minutes. If one such class is randomly selected, find the probability that the class length is less than 76 min.

Answers

Answer 1

Answer:

0.533

Step-by-step explanation:

Given that :

Class length has a Continuous uniform distribution between 60 - 90 min

Lower limit (L1) = 60

Upper limit (L2) = 90

Probability that class length is less than 76 min

P(x < 76):

(x - L1) / (L2 - L1)

(76 - 60) / (90 - 60)

16 / 30

= 0.533

P(x < 76) = 0.533


Related Questions

Find the median of the numbers in the following list
36,26,22,39,25,37,32,24,46,22,28

Answers

Median = 37

Due to the number sequence being an odd number (11 numbers) the median is equal to 37, as there is five numbers that lead up to it.

Answer:

The median is 37

Step-by-step explanation:

I hope it helps ❤❤

Order these numbers from least to greatest.
7.3952, 7.39, 7.5, 7.039

Answers

Answer:

7.039, 7.39, 7.3952, 7.5

Step-by-step explanation:

please answer fast .

Answers

Answer:

150 m

Step-by-step explanation:

Total distance walked

= perimeter of the garden

= 42 + 42 + length of arc

[tex] = 84 + \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ = 84 + \frac{90 \degree}{360 \degree} \times 2 \times \frac{22}{7} \times 42 \\ \\ = 84 + \frac{1}{4} \times 44 \times 6 \\ \\ = 84 + 11 \times 6 \\ \\ = 84 + 66 \\ \\ = 150 \: m[/tex]

How many solutions does the system of equations below have?

x − 4y = 6
2x − 8y = 12

Answers

Answer:

x = 4y + 6

Step-by-step explanation:

x-4y=6

2x-8y=12

multiply 2 on both side in equation 1, and multiple - on both side in equation 2:

2x-4x=12

-2x+8y=-12

so the equation becomes:

4y=0

y=0

put the value of y in both of the equations:

x=6 equation 1

x=6 equation 2

so,

x = x

then,

x = 4y + 6 equation 1

-2 ( x - 4y ) = -12

x - 4y = -12/ -2

x - 4y = 6

x = 4y + 6

so the ans is:

x = 4y +6

Using the number lines,show a equivalent fraction to 3/4 using to 2 didn’t number lines.

Answers

Answer:

6/8 or 9/12

Step-by-step explanation:

Answer:

The equivalent fraction is 6/8

Plz hurry and help! I'm in a hurry!

Answers

Answer:

-7 - 8√3i

Step-by-step explanation:

Given

z₁ = 9 + 9√3iz₂ = 2 + √3i

To find

z₂ - z₁

Solution

z₂ - z₁  = 2 + √3i - (9 + 9√3i) = 2 - 9 + √3i - 9√3i =-7 + (1 - 9)√3i =-7 - 8√3i

Second option is correct (you have selected it right)

a+4b=-4 a+10b=-16
how to solve this problem ​

Answers

Answer:

a = 4

b = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality PropertiesSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

a + 4b = -4

a + 10b = -16

Step 2: Rewrite Systems

a + 4b = -4

Subtract 4b on both sides:          a = -4 - 4b

Step 3: Redefine Systems

a = -4 - 4b

a + 10b = -16

Step 4: Solve for b

Substitution

Substitute in a:                    -4 - 4b + 10b = -16Combine like terms:            -4 + 6b = -16Isolate b term:                     6b = -12Isolate b:                              b = -2

Step 5: Solve for a

Define equation:                    a + 4b = -4Substitute in b:                       a + 4(-2) = -4Multiply:                                  a - 8 = -4Isolate a:                                 a = 4

Last Friday Willie had -$27. Over the weekend he received some money for babysitting. He now has $43. How much money did he receive?

Answers

Answer:

$70

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

43+27=70

The partially filled contingency table gives the frequencies of the data on age (in years) and sex from the residents of a retirement home. 60-69 70-79 Over 79 Total Male 10 2 5 Female 10 9 4 Total

What is the relative frequency for males in the age group 60-69?

a. 1/2
b. 13/40
c. 1/4
d. 9/40

Please select the best answer from the choices provided ​

Answers

Answer:

c. 1/4

Step-by-step explanation:

got right edge2021

The relative frequency for males in the age group 60-69 is 1/2. So, option A is the correct one.

Given that,

Total number of residents in the retirement home who are in the age group 60-69 = 10 + 10 = 20

Number of males who are in the age group 60-69 = 10

The formula to find the relative frequency is,

Relative frequency = Number of counts in the subgroup / Total counts

Substituting,

Relative frequency = 10/20 = 1/2

Learn more about Relative Frequency here :

https://brainly.com/question/30466267

#SPJ7

Jamie earns $36 for 4 hours of work. What is her hourly pay rate?

Answers

Answer:

9 dolloars an hour man thats great pay

Step-by-step explanation:

Answer:

She gets paid $9 per hour.

Step-by-step explanation:

36/4 = 9

syeda has finished 20% of her math

Answers

yay for syeda wohooo

Answer:

woooohooooo for seyda

Step-by-step explanation:

yay for syeda wohooo

PLEASE HELP !! Math! Grade 8

Answers

Answer:

Mapping A

Step-by-step explanation:

To clarify this, the first box in each mapping has to go to only one number to resemble a function.  Function A works because each number is going to another number once while Function B doesn't work because of the number 2 going into two numbers.

Solve for x using the
distributive property.
3(x + 4) = 6

Answers

Hello!

[tex]\large\boxed{x = -2}[/tex]

3(x + 4) = 6

Distribute the terms inside of the parenthesis with the coefficient outside:

3(x) + 3(4) = 6

Simplify:

3x + 12 = 6

Subtract 12 from both sides:

3x + 12 - 12 = 6 - 12

3x = -6

Divide both sides by 3:

3x/3 = -6/3

x = -2

Attend to precision. Suppose that ∠1 and ∠2 are same-side interior angles formed by two parallel lines cut by a transversal, and that m∠1=7x-4 and m∠2=20x-5.

a.What is the value of x?

b.What is m∠1?

c.What is m∠2?

d.Explain how you found your answers.

Answers

9514 1404 393

Answer:

  a)  x = 7

  b)  m∠1 = 45°

  c)  m∠2 = 135°

Step-by-step explanation:

a) Same-side interior angles are supplementary, so we have ...

  ∠1 +∠2 = 180

  (7x -4) +(20x -5) = 180

  27x = 189

  x = 7

__

b) The measures of the angles can be found by substituting the value of x into the express for the angle measure.

  m∠1 = 7x -4 = 7(7) -4 = 45

  m∠1 = 45°

__

c) Angle 2 is the supplement of angle 1, so ...

  m∠2 = 180° -45°

  m∠2 = 135°

__

d) We used the relationship of angles at a transversal and the properties of equality.

What is this question 5(x-2)=2(x+1)

Answers

Answer:

this is too smart for mehrhdhd

x=4
see photo; hope this helps

Find the equation of the line specified. The slope is -4, and it passes through ( 5, 8).

a. y = 4x + 8
b. y= -4x + 28
C. y = -4x - 12
d. y= -8x + 28

Please select the best answer from the choices provided A W B C С D​

Answers

Answer:

B. y= -4x + 28

Step-by-step explanation:

To find the equation of this line first put it into slope-point form, [tex]y-y_{1} =m(x-x_{1})[/tex] where [tex]y_{1}[/tex] and [tex]x_{1}[/tex] are the y and x coordinates and m is the slope. So plug in the information to get the equation, y-8=-4(x-5). Then solve for y,

First, distribute the -4

y-8=-4x+20

Next, add 8 to both sides

y=-4x+28

The correct answer would be B) -4x+28

How many times greater is the value of 2 digit in 20 than the 2 digit in 952?

Answers

Answer:

hebsbbsbshsdbdbdjdjsjjdjdjdjbbfa I rbjf

which inequality is equivalent to -3x+2y>5y+9 A.y > x + 3 B.y> -x - 3 C.y< x - 3 D.y< -x - 3

Answers

Answer:

D. y <-x - 3

Step-by-step explanation:

-3x + 2y > 5y + 9

Subtract 2y from 5y on the other side

5y - 2y = 3y

-3x > 3y + 9

Add 3x and put it the other side

0 > 3x + 3y + 9

Subtract 3y and put it on the other side

0 - 3y = -3y

-3y > 3x + 9

Divide by -3 on both sides

-3y/-3 > 3x + 9/-3

-3y/-3 = y

3x + 9/-3 = -x - 3

y > -x - 3

MOST IMPORTANT STEP OF ALL: Switch the inequality sign around because you divided with a negative number which is -3. That's a rule in inequality.

y < -x - 3

So your final answer is y < -x - 3

41. Tickets to a school play cost $5.00 for general admission and $3.50 with a student ID. On opening night, 400 tickets were sold for a total of $1580. How many general admission tickets were sold?
A) 280 B) 200 C) 120 D) 420​

Answers

Answer:

a, b, c, or d

Step-by-step explanation:

one of them

to create an equivalent expression ray said he used commutative property on the following problem. 2x(3x5)=(2x3)x5 true or false

Answers

Answer : True

Let me know if I’m wrong

Solve each system of equations using any method. x+3y=9, 2x-3y=3

Answers

Answer:

(4, 5/3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define Systems

x + 3y = 9

2x - 3y = 3

Step 2: Solve for x

Elimination

Combine equations:                     3x = 12Divide 3 on both sides:                x = 4

Step 3: Solve for y

Define equation:                    x + 3y = 9Substitute in x:                       4 + 3y = 9Isolate y term:                        3y = 5Isolate y:                                 y = 5/3

Step 4: Graph Systems

Check the solution set.

solution to 2x+4>16?
a.x 10
d.x>6

Answers

Answer:

d. x > 6

Step-by-step explanation:

ajsjdjdbfb a little help.....​

Answers

Answer:

Option C. 25%

Step-by-step explanation:

Gain:-

Selling price - Cost price

= $250 - $200

= $50

Gain percent:-

(Gain/Cost price × 100)%

= (50/200 × 100)%

= 25%

I want 196 and 300
The rest I did .
Can anyone plz help.
Thanks in advance

Answers

Answer:

4{(9-2)^2}

[tex] {(9 - 4)}^{2} \times (4) \times (9 - 4 - 2)[/tex]

A basketball is thrown upward from a height of 1.8 m at a velocity of 12 m/s. How long until it reaches the ground?

Recall: h(t)=-4.9t^2-v_0 t+h_0, where v_0 is initial velocity and h_0 is initial height.
can anyone help?!

Answers

Answer:

0.14secs

Step-by-step explanation:

Given the equation that models the height expressed as;

h(t)=-4.9t^2-v_0 t+h_0

Given v0 = 12m/s

h0 = 1.8m

The equation becomes

h(t)=-4.9t^2-12t+1.8

The height of the ball on the ground level is zero

Substituting into the equation

0 = -4.9t^2-12t+1.8

Multiply through by -10

49t²+120t-18 = 0

Factorize and get t:

t = -120±√120²-4(49)(-18)/2(49)

t = -120±√14400+ 3528/98

t = -120±√17928/98

t = -120±133.89/98

t = 13.89/98

t = 0.14secs

Hence it takes 0.14secs until it reaches the ground

Angela took a general aptitude test and scored in the 83rd percentile for aptitude in accounting.
(a) What percentage of the scores were at or below her score?
(b) What percentage was above her score?

Answers

Answer:

(a) 83% of the scores were at or below her score.

(b) 17% was above her score.

Step-by-step explanation:

Given that:

Percentile score of Angela in the general aptitude test = 83rd percentile

To find:

a) Percentage of scores which were at or below her score?

b) Percentage of score which were above her score?

Solution:

First of all, let us learn about the term "Percentile"

Percentile is the value below which the certain percent of people/marks fall.

Therefore, when we say percentile of someone's score is [tex]x[/tex], then there are [tex]x\%[/tex] of scores are at the same level or below.

And [tex](100-x)\%[/tex] of the scores are above this level.

Therefore, we can say that:

83% of the scores were at the same level or below the score of Angela.

And [tex](100-83)\% = 17\%[/tex] of the scores were above the score of Angela.

need help wit this problem


X/fx

2 3/4
-1 3/2
0 3
1 6
2 12

tht's the table, wish I can take a pic of 2​

Answers

did you ever figure it out

Researchers compare the body composition of cattle feeding on a grain diet with that of cattle feeding on a grass diet. This method of gathering data is classified as
a census.
a sample survey.
an experiment.
an observational study.

Answers

d is ur answer⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answer:

The answer is D. An observational study

Step-by-step explanation:

The researchers are observing how different diets in the cattle affects their body composition. They are not counting a population or anything so it is not a census. It is not a sample survey because they aren't asking cows and it is not an experiment because they are not changing or testing anything. They are just viewing meaning it is an observational study.

your answer is D. Observational Study on 3dgenuity

Please answer I’m begging you

Answers

he will need to score 32 points per game he wil; beat the record by 3 points with 190,meaning the new median is greater than the older median so your answer is C.

I agree with what they said he will need to be scored with 32 points

PLEASE HELP ME ASAP ITS TIMED

Answers

Answer:

The solution is (2, 1).

All other ordered pairs do not work.

Step-by-step explanation:

-2x + 5y = 1

5x - 3y = 7

-10x + 25y = 5

10x - 6y = 14

19y = 19

y = 1

5x - 3(1) = 7

5x = 10

x = 2

(2, 1)

The solution is (2, 1).

All other ordered pairs do not work.

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