Let x be the ages of students in a class. Given the frequency distribution f(x) above, determine the following probabilities:.

Answers

Answer 1

Probabilities are used to determine the chances of events

The value of the probability P(x < 24) is 0.7895

How to calculate the probability P(x < 24)?

This is calculated as:

[tex]P(x < 24) = \frac{n(x < 24)}{Total}[/tex]

So, we have:

[tex]P(x < 24) = \frac{22 + 3 + 5}{22 + 3 + 5 + 4 + 4}[/tex]

Evaluate the sums

[tex]P(x < 24) = \frac{30}{38}[/tex]

Evaluate the quotient

[tex]P(x < 24) = 0.7895[/tex]

Hence, the value of the probability P(x < 24) is 0.7895

Read more about probabilities at:

https://brainly.com/question/9385303


Related Questions

The area of the rectangle A is 54 m² and the area of rectangle B is 24 m². If the rectangles are similar and the length of the rectangle A is 9 meters, find the length and width of both rectangle's.

Answers

Answer:

Can you please put a photo

Step-by-step explanation:

A cylinder has a height of 11.1 yards and a diameter of 34.4 yards. What is its volume? Use a
3.14 and round your answer to the nearest hundredth.
cubic yards


YOUR’RE WELCOME

Answers

Answer:

Why? You have it there. Anyways, here's the step=by step.

Step-by-step explanation:

The equation for the volume of a cylinder is

V= π × height × radius²

or

V=π × r² × h

What you'll do then is multiply

11.1 × 34.4² × 3.14

Type that in a calculator and boom, you got your answer!

somebody help please i will give brainliest​

Answers

Answer:

the answer is r= 1/2(121)

Step-by-step explanation:

the radius is half of the diameter

Answer:

B. [tex]\dfrac{1}{2} (121)[/tex]

Step-by-step explanation:

Find radius using formula:  [tex]\dfrac{d}{2} }[/tex]    where d is diameter.

using the formula:

[tex]\hookrightarrow \dfrac{121}{2}[/tex]

separate:

[tex]\hookrightarrow \dfrac{1}{2} (121)[/tex]

I WILL GIVE BRAINLEIST!
Make a word problem with the numbers 8, 15, and 40.

Answers

Answer:

Wendy is preparing balloons and seating plans for a party. There are 8 tables to fill and 40 balloons. She wants to distribute all the balloons and chairs evenly. Along with Wendy, there are 15 other guests. How many people will sit at each table and how many balloons will be at each table?

Step-by-step explanation:

I feel like this question doesn't really need an explanation...

PLEASE HELP!!
Joseph wants to plant gloxinia and hydrangeas in two similar rectangular gardens. The length of one garden is 5 ft, and the width is 4 ft. The other garden's length is 20 ft. What is the width of the second garden?​

Answers

Answer:

width = 1 ft

Step-by-step explanation:

"Similar" means same area.

Therefore area of first garden = area of second garden.

Let x be the width of the second garden.

5x4 = 20x

x = 1 ft

find the total volume of the figures

Answers

Answer:

21+24+15=60

21×24=504

504×15=7560

Step-by-step explanation:

7560÷15=504

ASAP Please help me !!!!​

Answers

Answer:

For First Question i had answered

The attachment is the answer

Step-by-step explanation:

For question 1 i am not sure

Hope It Helps!!!

In which equation is y a linear function of x?

A. y = 4x - 8

B. y = 4x^2 - 8

C. y = 4xy - 8

D. y = 4/x - 8

Answers

A. y = 4x - 8
This equation is the only equation out of these that make a linear graph.


The volume of a cone is 540pi
Work out the height,of the cone.
The radius is 9cm

Answers

Formula for volume of a cone = pi x r^2 x h/3


540pi = pi x 9^2 x h/3

Divide both sides by pi:

540= 9^2 x h/3

Simplify:

540 = 81 x h/3

Divide both sides by 81:

6 2/3 = h/3

Multiply both sides by 3

H = 20


the height is 20 cm

What is the​ y-intercept of the graph shown​ below?

Answers

Answer:

-3.5

Reason:

y-intercept means where the line cross the y-axis, so in this case is -3.5

-3.5.

The y axis of the graph goes down vertically, hence -3.5 is the y intercept of the line

fill in the missing numbers 150___250___ ___400​

Answers

Answer:

150,200,250,300,350,400.

Step-by-step explanation:

Basically, the pattern is add 50 from a number to get to the next number.

What is the y-intercept of the line shown below?
A. 5
B. -5
C. 2
D. -2

Answers

Answer: -2

Step-by-step explanation: The y-intercept of a line is the point where the graph crosses or intersects the y-axis.

In this case, the line crosses the y-axis 2 units down from the

origin and we can write the coordinates of the point as (0, -2).

So the answer is -2.

-2 because that is where the line crosses the y axis

Draw am arc with a radius of 2 inches and a measure of 220 degrees.

Please explain how to do this.
And no links.​

Answers

Answer: you cant draw an arc with a radius, are you sure the question is right

Step-by-step explanation:

What is 6x7+4-3x(4-8)

Answers

your answer should be 58 correct me if I'm wrong.

Answer:

58

Step-by-step explanation:

We are given arc KL is 12x+4, arc KJ is 8x-6, and angle E is 99 degrees. What is the actual degree measure of arc KJ? *

A. 10
B. 46
C. 74
D. 99

Answers

The  actual degree measure of arc KJ is 99 degrees

Circle geometry

From the given informtion

arc KL = 12x+4

arc KJ = 8x-6

<E = 99 degrees

The equation required to get the value of "x" is given as:

12x + 4 + 8x - 6 + 99 = 360

20x + 97 = 360

20x = 360 - 97

20x = 263

x = 13.15

For the arcKL

arcKJ = 8(13.15) -  6

arcKJ = 99degrees

HEnce the  actual degree measure of arc KJ is 99 degrees

learn more on circle geometry here: https://brainly.com/question/24375372

The measure of an angle is 71°. What is the measure of its supplementary angle?

Answers

Supplementary angles add up to 180°

-> The measure of an angle that is supplementary to a 71° angle is 180° - 71° = 129°

use system of equations to solve it
A farmer who keeps goats and chickens boasted to another:
I have animals in the yard with 120 legs and only 37 heads. How many goats and how many chickens did he have?

Answers

Answer:

Step-by-step explanation:

goats  x

chickens y

y=14

x=23

Describe how to find the perimeter of a shape with fractional sides.​

Answers

Answer:

46 2/6 or 46 1/3

Step-by-step explanation:

12+12+10+10=44

find the lowest common denominator which is 6

5/6+5/6+2/6+2/6=14/6=2 2/6

44+2 2/6=answer

Line p contains point (6,-5) and is perpendicular to line q. The equation for line q is
y = 3x + 5.
Write an equation for line p.
Part I: Find the slope of line q. (1 point)
Part II: Find the slope of line p. (Write the negative reciprocal of the slope you found
in Part I.)
I just need the last part!!

Answers

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 5 ← is in slope- intercept form

with m = 3

Part 1

slope of line q is 3

Part 11

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] = - [tex]\frac{1}{3}[/tex] ← slope of line p

Hi, I need help RIGHT NOW!


2 = 10x+3
what does that equal? and please hurry

Answers

x = -1/10

2=10x+3
10x+3=2
10x = 2 - 3
10x = -1
x = - 1/10

16. Part of Peter's budget is money for transportation. He needs gas in his truck to drive to and from
college next week. His truck holds up to 28 gallons. Gas costs $2.79 per gallon. Analyze the domain and
range for a function that determines his total cost.
Part of the Situation It
Type of Numbers
Any Restrictions
Represents
Domain
Range

Answers

Answer:

same here

Step-by-step explanation:

MATH PLS HURRY A rectangular prism has a length of 4 1/2 centimeters, a width of 4 1/2 centimeters, and a height of 6 centimeters. Sally has a storage container for the prism that has a volume of 143 cubic centimeters.
What is the difference between the volume of the prism and the volume of the storage container?




Enter your answer in the box as a simplified mixed number or a decimal.

Answers

4.5 x 4.5 x 6 = 121.5
In this case, it’s asking for prism - container, so it would be 121.5 - 143, which equals -21.5

kim orders catering from midtown diner for $35. she spends $5 on a large order of potato salad and the rest on turkey sandwiches. each sandwich is $2.50. How many sandwiches did kim buy ?

Answers

Answer:

12

Step-by-step explanation:

35-5=30

After that you dived 30 by 2.5 which gets you 12

In ΔLMN, the measure of ∠N=90°, NL = 6. 8 feet, and LM = 9. 4 feet. Find the measure of ∠L to the nearest tenth of a degree.

Answers

Answer:

Step-by-step explanation:
The above is a right angled triangle
So you take the longest side
9.4^2 - 6.8^2
88.36- 46.24
sqrt of 42.12
6.4899

To the nearest tenth of a degree = 6.56.5ft



Michael earns $21 per hour and works 40 hours per week. How many overtime hours would he have to work in a week for his time-and-a-half overtime pay to be greater than his regular gross pay?

Answers

Answer:

81 hours

Step-by-step explanation:

He gets 10.5 dollars an hour over time and when he's working regular he earns 840 dollars so 840 divided by 10.5 is 80 so add an extra hour and he then makes more.

Thaddeus shakes his head as he pays $12.37 to the clerk for lunch. Complaining to a friend, Thaddeus says, “Do you realize that is 0.2% of my monthly income?” His friend replies, “I think you made a mistake. That should be 2%. You messed up on the decimal point.” (a) Assuming Thaddeus is not wrong, what is his monthly income? (b) If Thaddeus’ friend is correct, what is Thaddeus’ monthly income?

Answers

Answer:

a) If Thaddeus is not wrong, his monthly income is $6,185.

x/12.37 = 100/0.2

0.2x = 1237

x = 1237/0.2x

x = 6,185

b) If Thaddeus's friend is correct, Thaddeus's monthly income is $618.5

x/12.37 = 100/2

2x = 1237

x = 1237/2x

x = 618.5

If Thaddeus is not wrong, his monthly income is $6,185.

If Thaddeus's friend is correct, Thaddeus's monthly income is $618.5.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Thaddeus shakes his head as he pays $12.37 to the clerk for lunch.

a) If Thaddeus is not wrong then let his income be x.

So, x/12.37 = 100/0.2

0.2x = 1237

x = 1237/0.2x

x = 6,185

b) If Thaddeus's friend is correct

x/12.37 = 100/2

2x = 1237

x = 1237/2x

x = 618.5

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ1

4tan(x)sin(x)+5sec(x) simplifies to A sec(x) - B cos(x)

Answers

Answer:  (sec x – tan x)(csc x + 1).

Step-by-step explanation:

Help me for pls idc I’ll give out Brainly

Answers

Answer:

D....because its the odd one out and makes since :)

If you actually work out the problem you’ll see that the actual answer is C. Hope this helps :)

Cinco veces la suma de 4 y un número?

Answers

Answer:

60 I think


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When x is equal to 40, y is equal to 20

When y is 50, what is x?

Answers

=20/100 *x=y

=x/5=y

X=5y

5y=x

(20%)y=?

Y/5=?

?=(y/5*x)/5y

?==x/25

20%y=4%x
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