Write the interval {x|1 < x < 3} as an i inequality
and using interval notation.

Answers

Answer 1

Answer:

1 < x < 3

(1 , 3)

Step-by-step explanation:

We have been provided with a set that is

{x|1 < x < 3}

We have to write it in both as an inequality and also in the form of interval notation.

The inequality can be found easily by just looking at the given set. It states that the set contains x, such that x is greater than 1 and x is smaller than 3, so the inequality can be written as:

1 < x < 3

To write in interval notation, we use brackets, As both 1 and 3 are not included, we'll use round brackets to show the interval.

(1 , 3)


Related Questions

What is this expression in simplified form?

(8/10)(8/5)

OA 64/50
OB. 16/50
OC. 80/2
OD. 320/2

Answers

Answer:

A.64/50

Step-by-step explanation:

8/10*8/5

64/50

The least simplified form of the equation is 32/25

The simplified form of expression is option (D) 64/50 is the correct answer.

What is simplification of an expression?

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.

For the given situation,

The expression is (8/10)(8/5)

The simplified form of expression is

⇒ [tex](\frac{8}{10} )(\frac{8}{5} )[/tex]

⇒ [tex]\frac{64}{50}[/tex]

Hence we can conclude that the simplified form of expression is option (D) 64/50 is the correct answer.

Learn more about simplification of an expression here

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PLEASE HURRY! ILL GIVE BRAINLEIST!
The school baseball team has 3 pitchers. How many different 3-player pitching schedules can the coach choose from?
A. 3 schedules B. 5 schedules C. 6 schedules D. 9 schedules

Answers

Answer:

b

Step-by-step explanation:

Grace's mom gave her $15.00 to buy school supplies. Grace needs to buy 3 mechanical pencils and some notebooks. If each mechanical pencil costs $1.75 and each notebook costs $2.99, how many notebooks can Grace buy using only the money her mom gave her? 2 notebooks 3 notebooks 4 notebooks 5 notebooks

Answers

Answer: 3 notebooks

Step-by-step explanation:

First take the three mechanical pencils out of the equation by doing

15 - (3*1.75) = 9.75.  Because each notebook costs 3 dollars, she can afford 3 notebooks, with 1 dollar left over.

Hope it helps <3

Answer:

3 notebooks

Step-by-step explanation:

(1,75x3)=5.25   15.00-5.25=9.75

2.99x=9.75

x=3,26

so she can buy 3 notebooks

I need help I don't understand I was on a streak and now this stupid problem is just unsolvable I just want to finish this stupid work and play gtao

Answers

Answer: 1:2

Explanation:

Area of rectangle A: 48

Area of rectangle B: 96

48/96 = 4/8 = 1/2

Ratio of the area of rectangle A and B is 1:2

Answer:

the ratio is 1:3

Step-by-step explanation:

A department store wants to know what motivated customers to visit their store on that particular day. Since 80
percent of the customers are male, researchers have decided to collect a __ by ensuring that 8 out of every 10
survey participants are male.

Answers

Answer:

sample.

Step-by-step explanation:

It is given that a department store wants to know what motivated customers to visit their store on that particular day.

We need to fill the blank.

Since 80 percent of the customers are male, researchers have decided to collect a ____ by ensuring that 8 out of every 10  survey participants are male.

For survey, researchers need small part of whole data, i.e., sample.

So, the required answer is "sample".

Since 80 percent of the customers are male, researchers have decided to collect a sample by ensuring that 8 out of every 10  survey participants are male.

Since 80 percent of the customers are male, researchers have decided to collect an erroneous sample by ensuring that 8 out of every 10 survey participants are male. This is a sampling error.

What is a Sampling Error?

A sampling error can arise when the said sample is not representative of the entire population as is in the case of the example above.

To eliminate the statistical error, the sample must be collected in such a way that the probability of every member of the population being included in the sample is equal to 1.

Learn more about sampling errors at:
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Does the graph represent a function?

Answers

Answer:

yes

Step-by-step explanation:

Yes, it passes the vertical line test.

Which of these phrases contain a variable? Check all that apply.
O A. The length of the hallway
O B. Twelve ounces of tea
O C. The weight of the wombat
O D. Seven cups of flour

Answers

Answer:

The length of the hall way

the weight of the wombat

The length of the hallway

The weight of the wombat

Samantha makes a maze for her pet gerbil. At one point in the maze, the path splits
and the gerbil has an equally likely chance to choose either the left branch or the
right branch. Samantha places her gerbil in the maze 10 times in a row and records
the number of times the gerbil chooses the left branch.

Outcome/Tally
Gerbil chooses left branch = 7 Tallys

Part A
What is the experimental probability that the gerbil will choose the left branch of
the maze on the next trial?

Part B
What is the theoretical probability that the gerbil will choose the left branch of the
maze on the next trial?

Part C
Does the experimental probability equal the theoretical probability? Explain.​

Answers

Answer:

Part A: 7/10

Part B: 1/2

Part C: look below*

Step-by-step explanation:

Part A:

The probablity is a 7/10 because in the previous record the gerbil went left 7 out of the 10 times

Part B:

Theoretically the gerbil has a 1/2 of going either left or right since there are two options.

Part C:

The experimental probabilty does not equal the theoretical probability because during the trial the gerbil went left 7/10 and theoretically the gerbil would go left 5/10 times.

PROBABILITY. 22 chocolate bars total. 3 Mr.Good bars, 7 Krackel bars, and 12 Hershey’s bars. You are going to grab 7 bars WITHOUT replacement. Express answers in decimal form, round to at least 4 decimal places. 1: P(3 Mr.Good bars and 4 krackel bars)? 2:P( 3 Krackel bars and 4 Hershey’s bars)? 3: P(none of the 7 are Hershey bars)?

Answers

Answer:

.7

Step-by-step explanation:

A car travels at 60 miles per hour. If d is the distance traveled and t is the time in hours: Write a function for the distance traveled d in t hours. What is the dependent variable? What is the independent variable? Make a table with at least 5 coordinate pairs. Graph the coordinate pairs and draw the function

Answers

Answer:

Step-by-step explanation:

d= distance

t= time

The independent variable is t, time. The distance the car travels depends on the time in hours spent travelling. The dependent variable is d, distance. Here is a table with 5 coordinate pairs that can be used.

(T)        (D)

1           30

2          60

3          90

4         120

5         150

These are the coordinate pairs for the function. When we use division and determine the rate of change, we can determine that the average rate of speed (MPH) is 30 MPH.

Solve for b. -11b+7 = 40−11b+7=40

Answers

Answer:

This equation is false

Step-by-step explanation:

Well,

-11b + 7 = 4 - 11b + 7 = 40

combine like terms

-11b + 7 = -11b + 3 = 40

Communicative property

-3 to both sides

-11b + 4 = -11b = 40

-4 to both sides

-11b = -11b = 36

+11b to both sides

0 = 36

0 is not equal to 36 meaning that this equation is false.

Thus,

the equation given is false.

Hope this helps :)

Answer:

b= -3

Step-by-step explanation:

So uh it was not -11b+7 = 40−11b+7=40

it was -11b+7 = 40 the equasion was probably just copy pasted twice.

Sorry im  late i just got this question on khan acadamey

hope this helps

Helen drives 195 miles in 3 hours.
a) What is her average speed in mph?
Matthew drives at an average speed of 62 mph for 5 hours.
b) How many miles does Matthew drive?

Answers

Answer:

a) What is her average speed in mph?

= 65 mph

b) How many miles does Matthew drive?

=310 miles

Step-by-step explanation:

The average speed in meters per hour (mph) of Helen is 65 miles per hour

Given:

Total distance = 195 miles

Time taken = 3 hours

Average speed = Total distance ÷ Time taken

= 195 miles ÷ 3 hours

= 65 miles per hour

If Matthew drives at an average speed of 62 mph for 5 hours.

Total distance between traveled = Average speed × Time taken

= 62 mph × 5 hours

= 310 Miles

Therefore the total miles Helen traveled in 5 hours at the rate of 62 mph is 310 miles

Read more:

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Which represents a measure of volume?
5 cm³
5 square cm
5 cm
5 cm²

Answers

The answer is A) 5 cm³

Volume is represented by cubic units.

Hope it helps <3

A cus of cm3 it’s volume

Need help finding the missing length to the attached triangle.

Answers

Answer:

1500

Step-by-step explanation:

Let the length of the perpendicular dropped from the right angle to the hypotenuse be h units.

Now by geometric mean property:

[tex]h = \sqrt{1600 \times 900} \\ h = 40 \times 30 \\ h = 1200 \: units \\ Next \: by \: Pythagoras \: Theorem: \\ {x}^{2} = {h}^{2} + {900}^{2} \\ {x}^{2} = {1200}^{2} + {900}^{2} \\ {x}^{2} = 1440000 + 810000 \\ {x}^{2} = 2,250,000 \\ x = \sqrt{2,250,000} \\ \huge \red{ \boxed{x = 1500\: units }}[/tex]

Answer:

1500

Step-by-step explanation:

Use the right triangle altitude theorem.

x/900 = 2500/x

x^2 = 900 * 2500

x = sqrt(900 * 2500)

x = 30 * 50

x = 1500

given f(x) = 3/2x - 5 and g(x) = x^2 + 2x find x (the input) if g(x) = 0 ( the output 0 ) there are 2 answers

Answers

Answer:

x = 0   ,   x = -2

Step-by-step explanation:

The function given to us is:

f(x) = 3/2x - 5

g(x) = x² + 2x

We have to find the input x, for which the output of the function g(x) becomes 0.

It means that there is no use for the function f(x) in this question, so discard it

Substitute g(x) = 0 into the given equation of g(x):

g(x) = x² + 2x

0 = x² + 2x

Take x common from both the terms:

x(x+2) = 0

Thus, the values of x can be written as:

x = 0     ,     x + 2 = 0

x = 0     ,     x = -2

Whats the square route of 49?

Answers

Answer:

The square root of 49 is 7.

Step-by-step explanation:

To find the square root of 49, you would need to look at the possible multiplication equations. For example:

1 x 49 = 49

7 x 7 = 49

49 x 1 = 49

As you can see, 7 x 7 would have the square root of 49, which is 7.

7^2=49

.

In conclusion, the square root of 49 is 7

Answer:

The square route of 49 is 7.

Step-by-step explanation:

All you have to do is 7 x 7 = 49

There. You have your correct answer.

Which statement is true regarding the graphed functions?

Answers

Answer:

C

Step-by-step explanation:

You can look them up in the graphs.

f(2) means "where is the blue graph when x=2?", and you can see it is at y=0.

c . you can look them up in graphs

Help, My parents can’t even help me. I’m really stuck. In the SuperLottery, three balls are drawn (at random) from ten white balls numbered from 1 to 10, and one SuperBall is drawn (at random) from ten red balls numbered from 11 to 20. When you buy a ticket, you choose three numbers from 1 to 10, and one number from 11 to 20. If the numbers on your ticket match at least two of the white balls or match the red SuperBall, then you win a super prize. What is the probability that you win a super prize?

Answers

Answer:

This is an extremely easy question. Your correct answer is 1/7,200 or 0.01389%

Step-by-step explanation:

Since you have to choose the three numbers and one super ball to be able to win the lottery, your chances of getting 3 white numbers is 1/10 x 1/9 x 1/8 = 1/720

The chances of getting the super ball is 1/10

And the chances of winning the jackpot is 1/720 x 1/10 = 1/7,200 = 0.01389%

HURRRYYYY FIRST GETS BRAINLLEST Janine wrote the numbers 1-100 and placed them in a bag. If she selects a number without looking, what is the probability that the number is even and greater than 80? Input your answer as a decimal or fraction.

Answers

Answer:

1/10 or ( 0.1 )

Step-by-step explanation:

no. of even no.s greater than 80 = 10

Total no.of numbers = 100

So P(no. of even no.s greater than 80) = 10/100 = 1/10

Answer:

There are 10 even numbers greater than 80.

So Probability of getting an even numbers greater than 80 is 10/100 (1/10)

Hope it helps you. Please mark Brainliest :)

Have a nice day PPLS!!!!!!!

32. The expression a^x means that a is to be used as a factor x times. Therefore, if a^x is squared, the result is

A) a^x^2
B) a^2^x
C) 2a^2^x
D) 2a^x

Answers

Answer:

B. a^2x

Step-by-step explanation:

squaring a^x gives. (a^x)²

by applying the rules of indices, ^2 multiplies x therefore making it a^2x

What is the percent of increase from 106 miles to 122 miles?

Answers

Answer:

15.094 %

Step-by-step explanation:

[(122 - 106) /106] 100

(16/106) 100

(0.15094)x100

15.094

Answer:

15%

Step-by-step explanation:

I am interested in the how, not just an answer. Who can show me the correct solution path?

Answers

The measure of angle DB is 180 degrees. It is a straight line and straight lines are 180 degrees.

which of the sequence is an arithmetic sequence?

Answers

Answer:

D

Step-by-step explanation:

An arithmetic sequence has to increase or decrease by the same amount each time

-3 ,-10,-17,-24,-31

Decreases by 7 each time so it is an arithmetic sequence

Answer:

i think its D not to sure

Step-by-step explanation:

Check all solutions to the equation. If there are no solutions, check "None."
x=-81

Answers

Answer:

none

Step-by-step explanation:

If a squared variable is equal to a negative number, all of the solutions are imaginary

There are no real solutions

Answer:

The correct answer is none.

a savings account receives 12% simple interest p.a. how long would it take for £30000 to gain £28800 in interest

Answers

Answer:

8 years

Step-by-step explanation:

Given,

Principal (P) = £ 30000

Simple Interest ( I ) = £ 28800

Rate (R) = 12%

Time (t) = ?

Now,

[tex]t = \frac{i \times 100}{p \: \times \: r} [/tex]

[tex] = \frac{28800 \times 100}{30000 \times 12} [/tex]

[tex] = \frac{2880000}{360000} [/tex]

[tex] = 8 \: years[/tex]

Hence, It would take 8 years.

Hope this helps...

Good luck on your assignment...

When 10 b = 5 (StartRoot c EndRoot + 2) is solved for c, one equation is c = (2b minus 2) squared Which of the following is an equivalent equation to find c? c = 10 b minus 10 minus 5 c = (10 b minus 10 minus 5) squared c = StartFraction (10 b minus 2) squared Over 25 EndFraction c = StartFraction (10b minus 10) squared Over 25 EndFraction

Answers

Answer:

Option D.

Step-by-step explanation:

The given equation is

[tex]10b=5(\sqrt{c}+2)[/tex]

We need to find an equation which is equivalent to the given equation.

Using distributive property, we get

[tex]10b=5(\sqrt{c})+5(2)[/tex]

[tex]10b=5\sqrt{c}+10[/tex]

Subtract both sides by 10.

[tex]10b-10=5\sqrt{c}[/tex]

Divide both sides by 5.

[tex]\dfrac{10b-10}{5}=\sqrt{c}[/tex]

Taking square on both sides.

[tex]\left(\dfrac{10b-10}{5}\right)=(\sqrt{c})^2[/tex]

[tex]\dfrac{(10b-10)^2}{25}=c[/tex]

[tex]c=\dfrac{(10b-10)^2}{25}[/tex]

This equation is equivalent to the given equation.

Therefore, the correct option is D.

Answer:

d on edgenuity

Step-by-step explanation:

Standing on the roof of her apartment building, the top of Carla’s head is 15 yards above the ground.
She spots a curb 20 yards from the base of the building. What is the height of the flagpole?

Answers

Answer: 9 yards

Step-by-step explanation:

The proportion x/15 = 12 / 20 ||| X * 20 = 20X ||| 12 x 15 = 180 ||| 180 / 20 = 9

Trying to find the missing segment to the triangle in the attached image.

Answers

Answer:

44 units length

Step-by-step explanation:

The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally. Therefore:

20/10 = x/22

20/10*22 = x

44 = x

1. Write the standard form of the line that passes through the given points. (7, -3) and (4, -8)
2. Write the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to 2 x + y = -5.
3. Write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y = -5

Answers

Answer:

1. [tex]-5x+3y+44=0[/tex]

2. [tex]2x+y-2=0[/tex]

3. [tex]2x+y-4=0[/tex]

Step-by-step explanation:

Standard form of a line is [tex]Ax+By+C=0[/tex].

If a line passing through two points then the equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope, i.e.,[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex].

1.

The line passes through the points (7,-3) and (4,-8). So, the equation of line is

[tex]y-(-3)=\dfrac{-8-(-3)}{4-7}(x-7)[/tex]

[tex]y+3=\dfrac{-5}{-3}(x-7)[/tex]

[tex]y+3=\dfrac{5}{3}(x-7)[/tex]

[tex]3(y+3)=5(x-7)[/tex]

[tex]3y+9=5x-35[/tex]

[tex]-5x+3y+9+35=0[/tex]

[tex]-5x+3y+44=0[/tex]

Therefore, the required equation is [tex]-5x+3y+44=0[/tex].

2.

We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to [tex]2 x + y =-5[/tex].

Slope of the line : [tex]m=\dfrac{-\text{Coefficient of x}}{\text{Coefficient of y}}=\dfrac{-2}{1}=-2[/tex]

Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).

Equation of line is

[tex]y-2=-2(x-0)[/tex]

[tex]y-2=-2x[/tex]

[tex]2x+y-2=0[/tex]

Therefore, the required equation is [tex]2x+y-2=0[/tex].

3.

We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to [tex]2x + y =-5[/tex].

From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).

Equation of line is

[tex]y-0=-2(x-2)[/tex]

[tex]y=-2x+4[/tex]

[tex]2x+y-4=0[/tex]

Therefore, the required equation is [tex]2x+y-4=0[/tex].

SOMEONE PLEASE HELP ME ASAP PLEASE!!​

Answers

Answer:

1

Step-by-step explanation:

answer is 1 trust me use simple algebra

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