find the interesection if possible: ( − 1 , 6 ] ∩ [ − 3 , 4 ] . express your answer in interval notation.

Answers

Answer 1

The intersection of the sets written in interval notation is -1 ≤ x ≤ 4

What is interval notation?

Interval notation is a mathematical method or  way of writing subsets of the real number line.

It also helps in telling the part of the number line, from left to right, that is  included in the solution.

Given the sets;

( − 1 , 6 ] ∩ [ − 3 , 4 ]

(-1, 4) is the intersection of the sets

In interval notation, it is written as;

-1 ≤ x ≤ 4

Thus, the intersection of the sets written in interval notation is -1 ≤ x ≤ 4

Learn more about interval notation here:

https://brainly.com/question/16768997

#SPJ4


Related Questions

1.5, 21.5, 21.6 d: 20.0, 20.0, 20.0, 20.1, 20.2, 20.5, 20.5, 20.6, 20.7, 20.7, 21.0, 21.2, 21.5, 21.6, 22.1, 22.3 compute the standard deviation of the measurements for each method

Answers

Final answer:

The standard deviation from the method A is 2.87

The standard deviation from the method B is 1.35

The standard deviation from the method C is 0.42

The standard deviation from the method D is 0.75

What purposes does standard deviation serve?

The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean.

The statistical concept of standard deviation is used to quantify the variability or dispersion around an average. It is a measure of volatility technically. The discrepancy between the actual and average value is known as the dispersion. The standard deviation increases as the variability or dispersion increases.

A low standard deviation indicates that the data are tightly grouped around the mean, while a high standard deviation indicates that the data are widely dispersed (less dependable) (more reliable)

Explanation:

The highest standard deviation is found in procedure A. Given that it is not based on any actual measurements and is subject to wildly different subjective judgment, one would anticipate that it would be the largest.

To learn more about standard deviation , visit

brainly.com/question/14725601

#SPJ4

7, 000 000 000 000 000 000
how do you read this​

Answers

Answer: Seven trillion i think

Step-by-step explanation:

Volume of Spheres


Volume of Spheres

Answers

Answer:

V ≈ 2,048 ft^3

Hope this helps :)

Step-by-step explanation:

The symbol ^ means raised to a power.

Formula for Volume of Sphere - V = 4/3 π r^3

1. To find the volume of a sphere, first find the radius with the given diameter 16.

16 ÷ 2 = 8

Radius = 8

2. Substitute r for 8 and solve, and 3 will be used for π.

V ≈ 4/3 • 3 • 8^3

V ≈ 4/3 • 3 • 512

V ≈ 4/3 • 1536

V ≈ 6144/3

V ≈ 2,048

What is the quotient of the following division problem?
10703 ÷ 25 = ?
OA. 428 r3
OB. 427 r4
OC. 428 r4
O D. 429 r3

Answers

Answer is A, 10703 / 25 = 428 r3

(+7) (–4) Write each multiplication expression as a repeated addition.

Answers

We get the repeated addition as ( - 4 ) + ( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ).

We are given a multiplication expression:

( + 7 ) ( - 4)

We need to write this expression as a repeated addition

Repeated addition means when we add the same digits many times that is repeatedly.

For example: 3 + 3 + 3 + 3 or 8 + 8 + 8 + 8 or 5 + 5 + 5 +5 etc.

Here, we can see that -4 is multiplied by 7

It means that - 4 will be added 7 times repeatedly to form the expression

So, we get that:

= ( - 4 ) + ( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 )

Therefore, we get the repeated addition as ( - 4 ) + ( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ) +( - 4 ).

Learn more about repeated addition here:

https://brainly.com/question/1111494

#SPJ9

f(x) = -3/5 x-17

If f(x) = -2, find x.

Answers

Answer:

x = 5/44

Step by Step:

First start with -2 = -3/5 x-17, once you do that you see that you need to make the x in -3/5 x-17 make the equation equal -2. Requiring knowledge of basic multiplication in the negatives. Once you find the number to multiply by, in this equation would be 5/44, you multiply.

which conversion factors are used to multiply to 18 cm/s to get meters per minute? select each correct answer.

Answers

The conversion factor to convert cm/s to m/min is 3 / 5, it is gained by applying the knowledge of conversion of units to the given problem.

What do you mean by conversion of units?

Conversion of units deals with the method of converting a set of values given in a unit to another unit without changing its numerical value. Conversion can take place in both ways, from lower to higher units and vice-versa.

Calculation of the conversion factor to convert cm/s to m/min

We know that,

1 m = 100 cm

1 min = 60 s

To convert cm/s to m/min, we have

= 18 / (100 / 60)

= (18 × 3) / 5

= 54 / 5

= 10.8 m/min

Hence, the conversion factor used to convert cm/s to m/min is 3 / 5.

To learn more about the conversion of units, visit here:

https://brainly.com/question/97386

#SPJ4

the answer is A because to be honest im writing this so it will show me the right naswer but it should be A

you roll 3 dice. if you get the same number, you earn 10 $. if you get two numbers the same, you get 5 $. if the numbers are all different, you lose 2 $. what is the expected win?

Answers

When you roll 3 dice, if if you get the same number, you earn 10 $. if you get two numbers the same, you get 5 $. if the numbers are all different, you lose $2, the expected win is $1.25.

Given,

You  roll 3 dice.

In each dice there will be 6 outcomes

Total number of  outcomes = [tex]6^{3}=216[/tex]

Conditions are

You earn $10, if you get same numbersYou earn $5, if you get two numbers sameYou loss $2, if the numbers are all different

We can find the number of each cases by using the combination method

Number of cases all the outcomes are same =6

Number of cases you get two numbers same = [tex]6C_{2}[/tex]×3!

=90

Number of cases the numbers are all different= 6×5×4

=120

Therefore the expected win = (6×10+90×5-120×2)÷216

=270÷216

= $1.25

Hence, when you roll 3 dice, if if you get the same number, you earn 10 $. if you get two numbers the same, you get 5 $. if the numbers are all different, you lose $2, the expected win is $1.25.

Learn more about combination here

brainly.com/question/13387529

#SPJ4

In the question 2(8x - 1) = 20 i got 8/11 but the correct answer is 11/8 how do you determine which number goes on top and which goes on the bottom.

Answers

When u solve the equation it should be 2•8x=16x and 2•-1=-2, 16x-2=20. Add 2 to both sides, equals 16x=22. Divide 16 on both sides. 22/16 which reduces to 11/8.

X=11/8

Evaluate 4 - 2(a - 3) for a=5

Answers

Answer: 0

Step-by-step explanation:

4 - 2(a - 3) =

4 - 2(5 - 3) =

4 - 2(2) =

4-4=0

(9x+1)+(-6x{2}-9x-4)

Answers

Answer:

12x - 3

Step-by-step explanation:

helppppppppppppppppppppppppppppppppp

Answers

Answer:

S

Step-by-step explanation:

because an acute angle is and angle that is 89 or lower the rest are obtuse or right angle

Answer:

∠S

Step-by-step explanation:

An acute angle is an angle that is <90°, and in this case, angle S's measure is less than 90 or 15 in degrees, which both classify acute angles.

I need help ASAP DUE TODAY Please

Answers

Answer:

it's 9 squar feet ;) ........

Please help me with this question

Answers

Srry mate but this... this is too hard for me

Table: Is it a function? (yes/no) Why or why not?

Answers

Answer:

Yes

Step-by-step explanation:

Every x and y coordinate is different. The y-coordinates don't have the same x-coordinate, so the function passes the vertical line test. This function is called a discrete function since it's made up of individual points, not a line or curve.

Answer:

yes

Step-by-step explanation:

Different x and y coordinate

Different gradient of line graph

Therefore,it is a function.

the top and bottom ends of a windshield wiper blade are 30 inches and 13 inches, respectively, from the pivot point. while in operation, the wiper sweeps through 135°.

Answers

The area swept by the wiper is 860.75 square inches, as calculated by the formula of area of a sector.

What is a sector and its area?A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the form of a circle's sector.Area of a sector = [tex]\frac{1}{2}r^{2}\theta[/tex] (where the angle is in radians)

Given:

Top end of windshield = 30 inchesBottom end of windshield = 13 inchesAngle made = 135 degrees = 3π/4 radians

To find: Area swept by the wiper.

Finding:

As area of the sector = [tex]\frac{1}{2}r^{2}\theta[/tex],

Area swept by the wiper will be given by: (Area of the sector made by the top end of the windshield) - (Area of the sector made by the bottom end of the windshield)

=> Area swept by the wiper = [tex]\frac{1}{2}(30)^{2}\frac{3\pi}{4} - \frac{1}{2}(13)^{2}\frac{3\pi}{4}[/tex]

=> Area = [tex]\frac{1}{2}\frac{3\pi}{4}(900 - 169)[/tex]

=> Area = [tex]\frac{1}{2}\frac{3\pi}{4}(731)[/tex] ≈ 860.75 square inches

Hence, the area swept by the wiper is 860.75 square inches, as calculated by the formula of area of a sector.

To learn more about area of a sector, refer to the link:https://brainly.com/question/22972014

#SPJ4

−4 1/3÷−2 3/5 (I still don't know the answer to this and please I need help on this for my extra credit!! Thanks!

Answers

Answer:

-205/69

Step-by-step explanation:

-41/3÷23/5

reciprocate, then the sign changes

-41/3×5/23

=-205/69

on a 1375-mile flight, an airplane's average speed is 550 miles per hour. the flight is within a single time zone and leaves at 10 am. What time will the airplane arrive at its destination

Answers

The time the airplane will arrive at its destination is; 12:30 pm

What is the relationship between distance and time?

The relationship between distance, time and speed is;

Speed = Distance/time

Now, we are given;

Distance = 1375 miles

Speed = 550 miles per hour

Thus;

Time = Distance/Speed

Time taken = 1375/550

Time taken = 2.5 hours

Thus, if he leaves by 10 am, then the time to arrive is;

10 am + 2.5 hours = 12:30 pm

Read more about Distance and Time at;https://brainly.com/question/26046491

#SPJ1

drink(s) within a 4 hour time span, regardless of height and weight, can get you a bac of .01% .

Answers

1 drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01%.

Blood Alcohol Content (BAC) is a measure of alcohol in the blood as a percentage. It is calculated in grams per 100 mL of blood, so a BAC of 0.08 means your blood is 0.08% alcohol by volume.

Here, the BAC = 0.1%

Time span = 4 hours

We know,

BAC is a measure of alcohol in the blood as a percentage

Alcohol leaves the body at an average rate of 0.015 g/100mL/hour

Hence, 1 drink(s) within a 4 hour time span, regardless of height and weight, can get you a BAC of .01%.

Learn more about Blood Alcohol Content here

brainly.com/question/13184487

#SPJ4

the hats of n persons are thrown into a box. the persons then pick up their hats at random (i.e., so that every assignment of the hats to the persons is equally likely). what is the probability that (a) every person gets his or her hat back?

Answers

The probability that every person gets his or her hat back is 1/n!

What are equally likely function?

If each possibility in a sample space S has the same chance of happening, then all of the outcomes are equally likely. The following experiment shows how easy it is to compute the probability of a single result or an event if all outcomes in a sample space S are equally likely.

Think about the sample space for all hat assignments.

This has n! components (n hat picks for the first person, then n - 1 for the second, etc.),

with each occurrence having a chance of 1/n and being equally likely. Calculation is the issue.

The likelihood of a single element occurring, hence the response is 1/n!

To learn more about equally likely function from given link

https://brainly.com/question/10282142

#SPJ4

Subtract 8y+7 from 4y-8

Answers

-4y-1

Step-by-step explanation:

If you subtract [tex]{ \green{ \tt{8y + 7}}} [/tex]from [tex]{ \red{ \tt{4y - 8}}}[/tex] then the resultant answer will be as follows

[tex] \: \: \: \: \: { \red{ \tt{4y - 8}}} \\ - \ \: { \green{ \tt{8y + 7}}} \\ = -{ \blue{ \tt{ 4y - 1}}}[/tex]

You invest $2,800 at a 6 nnual interest rate, stated as an apr. interest is compounded monthly. how much will you have in 1 year? in 1.5 years?

Answers

If, we invested $2,800 at a 6% annual interest rate. We will have $2972.70 in 1 year and $3063 in 1.5 year of time.

What is interest?

In the fields of finance and economics, interest is defined as the payment of a sum over and above the principal amount (the amount borrowed) at a set rate by a borrower or deposit-taking financial institution to a lender or depositor. It is different from a fee that the borrower may pay to the lender or another entity. It also differs from a dividend, which is money given to shareholders (owners) by a company from its profit or reserve, but not at a set rate predetermined beforehand, but rather on a pro rata basis as a portion of the rewards received by risk-taking businesspeople when revenue is earned that exceeds all costs.

Calculations:

The Future value= fv= Pv x [tex](1+r/m)^{mt}[/tex]

R= Rate per period

mt= years x compounding

The Future value in 1 year= 2800x[tex](1+0.06/12)^{1x12}[/tex]

                                   = $2972.70

The Future value in 1.5 years=2800x[tex](1+0.06/12)^{1.5x12}[/tex]

                                       = $3063.00

To learn more about interest, visit:

https://brainly.com/question/13324776

#SPJ4

7 times as long as 3098 kilometers

Answers

Answer:21,686

Step-by-step explanation:7*3098=21,686

patricia will flip the coin 8 times. let a be the event that exactly 4 of the 8 flips are heads, and b be the event that the last two flips are tails. find p(a ∪ b).

Answers

The probability of an event of P(A∪B) is 49/128.

In this question,

Patricia will flip the coin 8 times.

The sample space is the flipping of a coin 8 times.

⇒ n(s) = 2⁸

⇒ n(s) = 256

Let A be the event that exactly 4 of the 8 flips are heads

⇒ n(A) = [tex]8C_4[/tex]                 [∵ [tex]nC_r=\frac{n!}{r!(n-r!)}[/tex]]

⇒ [tex]\frac{8!}{4!4!}[/tex] = 70

Then, P(a) = [tex]\frac{n(a)}{n(s)}[/tex]

⇒ [tex]\frac{70}{256}[/tex]

Let B be the event that the last two flips are tails

⇒ n(B) = [tex]8C_2[/tex]

⇒ [tex]\frac{8!}{2!6!}[/tex] = 28

Then, P(a) = [tex]\frac{n(b)}{n(s)}[/tex]

⇒ [tex]\frac{28}{256}[/tex]

Now, P(A∪B) = P(A) + P(B)

⇒ P(A∪B) = [tex]\frac{70}{256} + \frac{28}{256}[/tex]

⇒ P(A∪B) = [tex]\frac{70+28}{256}[/tex]

⇒ P(A∪B) = [tex]\frac{98}{256}[/tex]

⇒ P(A∪B) = [tex]\frac{49}{128}[/tex]

Hence we can conclude that the probability of an event of P(A∪B) is 49/128.

Learn more about probability of event here

https://brainly.com/question/23182625

#SPJ4

find the gradient-intercept form of the equation of the line which has a gradient of 5 and passes through the point (1, 11)

Answers

The gradient-intercept form of the equation of the line which has a gradient of 5 and passes through the point (1, 11) is y = 5x + 6

Gradient intercept form Or slope incept form of a linear equation is given by

y = mx + c

where m is the gradient or slope of the equation  and c is the constant

As we are aware that the line passes through a point whose coordinates are (1, 11)

By putting the value of gradient/ slope,  x coordinate in place of x in equation and  y coordinate in place of y in equation we get

11 = 5 (1) +c

11= 5 + c

11-5 = c

6 = c

now, substituting the value of c in the Gradient/ slope intercept form

y = 5x + 6

Hence, The gradient-intercept form of the equation of the line which has a gradient of 5 and passes through the point (1, 11) is y = 5x + 6

To know more about Gradient/ slope intercept form - https://brainly.com/question/9682526

#SPJ9

q1: find the hexadecimal representation for each of the following binary numbers 1. 10101101 2. 00100111 q2: find the decimal representation for each of the following hexadecimal numbers 1. 8ef 2. 5ce q3: find the binary representation for each of the following decimal numbers 1. 53 2. 885 q4: find the answer for the following hexadecimal 1. 35 ab 2. aa – 22

Answers

The hexadecimal representation for the given question is 1. 0xAD 2. 0x27 and the decimal representation of the given question is 1. 10001110 2. 01011100

What do you mean by the term hexadecimal?

The hexadecimal numeral system, usually known as base 16 or just "hex," is a positional numeral system used in mathematics and computing that uses the radix (base) of 16 to represent integers. Hexadecimal uses 16 different symbols as opposed to the decimal system's 10 symbols, with the most common being "0"-"9 to represent values 0 to 9 and "A"-"F" (or alternatively "a"-"f") to represent values 10 to 15. Hexadecimal numbers are frequently used by software engineers and system designers because they offer a human-friendly representation of binary-coded data. For example, an 8-bit byte might have values ranging from 00000000 to 11111111 in binary form, which can be succinctly represented as 00 to FF in hexadecimal. Each hexadecimal digit represents four bits (binary digits), often known as a nibble (or nybble).

To learn more about hexadecimal, Visit:

https://brainly.com/question/13558984

#SPJ4

The weather report predicted that the low temerature would be 93 degrees farenheit. The weather man said , "The low temperature was 13 degrees warmer than predicted!'' What was the low temperature, in degrees Farenheight?

Answers

Answer: 106!

Step-by-step explanation:

12=456 marking the first one bry

Answers

Answer:

38?

Step-by-step explanation:

I can't tell if you were dividing, but 456/12 is equal to 38. Same goes if you were looking for 456=12*x, which x is also 38.

Write the domain for {(-4; 3), (2; 1), (0;3), (-3;-2)}
d=

Answers

Answer:

Element of xcomponent is called domain.

Step-by-step explanation:

Domain=(-4,2,0,-3)

Hope this helpful for you.

I am a multiple of 3 I am also a multiple of 4 the sum of my digits is a prime number I have 2 digits what number am I?

Answers

Answer:

the number 12

Step-by-step explanation:

the number 12 is a multiple of both 3 ans 4. the sum of the 2 digits in 12, is 3, which is a prime number. 12 only has 2 digits

Other Questions
The extracellular matrix of the animal cell has all of the following molecular components except __________. help me please 2-72. Every Tuesday that Yolanda's family has visited a specific local restaurant, theNids meals have been free. When Yolanda's family visits that restaurant nextTuesday, the kids' meals will be free enhancing qualitative characteristics of accounting information include each of the following except:multiple choice Reread the first three paragraphs of the story and work with a partner to answer the followingquestion: How does a sense of danger to the pheasants gradually build as the story unfolds?Discuss the cumulative impact of details expressed through the author's word choice on thethe overall tone for the pheasants. fraga and colleagues (2005) took tissue samples from 40 pairs of monozygotic twins and screened the tissues for dna methylation and histone modifications. they found that the twins were epigenetically early in life and that epigenetic differences as they aged. NEED HELP ASAP CURRENTLY FAILING!!! You need to be at the Houston International Airport by 4pm to make your flight. You are currently in Heloteswhich is 213 miles away. If you leave at 12:30 pm, what will your average speed need to be to make it to the airport ontime vector a has a magnitude of 31 units and points in the positive y-direction. when vector b is added to a, the resultant vector a b points in the negative y-direction with a magnitude of 16 units. find the magnitude and direction of b. how is graffiti typically used as an art form?a. Walls are painted to blend in with the surroundingsb. History is recorded in an open-minded wayc. Individuals express their social and political opinionsd. Utilitarian art is created in two dimensions The graph above shows the graphs of the cost (in green) and revenue (in blue) functions for a company that manufactures and sells small radios.a) How many radios must be produced and sold to break even?Answer: b) What is the dollar amount coming in and going out if the company just breaks even?Answer: c) Use the formulas to write the company's profit function, (), from producing and selling radios.(Notice in this problem, you must enter the entire function, not just the right hand side)Answer: d) How much profit will the company earn if it produces and sells 500 radios?Answer: john hinkley's president reagan's attempted assassin psychological profile would probably have been done by aan psychologist. The origin of the word for slave comes for the word slav, a group of white eastern europeans. question 6 options: true false What term is used to describe creative thinkers continuously striving for innovation in technologies, supply sources, distribution outlets, or methods of production who are also change agents who create large-scale change using pattern-breaking ideas to address the root causes of social problems?. 1. The graph shows the world human population size and growth rate over time. How are the two sets of data related to each other? What does studying one data set tell you about the other? when homeostasis is established via the negative feedback mechanism, physiological events result in . multiple choice question. amplifying the original stimulus activating the control center inactivating the sensors negating the initiating stimulus When determining a country's level of development in terms of infrastructure, the factors to consider are? The cost of Monster drinks increases. What happens to the supply of Monster Strudels? Tina has celebrated her grandmother's birthday. Her uncle also gave a suprize visit. Write a s entry to show her emotions. The client has been diagnosis with severe sepsis. which finding would indicate the client is experiencing low cardiac output? Find the 98th term of the arithmetic sequence 8, 24, 40, ...8,24,40,... I NEED HELP!!!How did Justinian impact old Roman law?1. It was entirely replaced by his own edicts.2. It was summarized and harmonized with Christianity.3. He ordered old Roman laws destroyed as part of the old pagan Roman religion.4. He preserved it completely intact and unchanged with his imperial seal.