Answer:
A
Step-by-step explanation:
Remember domain is input and range is output.
Input: All real numbers
Output: [0, infinity)
A
Find five numbers so that the mean, median, mode and range is 4.
Answer:
Let’s break this apart
Well we know the median has to be 4
Since it’s 5 numbers the middle number has to be 4 since its the median.
Let’s put in what we know.
a, b, 4, d, e
Constraints:
There has to be more then 1 “4”.
e-a = 4
So using that information lets solve since the possibility is almost endless
SO lets make e 5 and a 1.
1, b, 4, d, 5
There has to be more then 1 4 so lets put that as b.
We can solve for the last remaining digits.
1+ 4 + 4 + d + 5 / 5 = 4
14 + d /5 = 4
2.2 + d = 4
1.8 = d
So now if we put in order and replace b with 1.8 and make d as the previous “b” as 4.
1, 1.8, 4, 4, 5
Thats your 5 numbers right there.
Check:
Mode is 4: yes!
Range is 4: 5-1 = 4 yes!
Median is 4: yes!
Mean is 4: 1 + 1.8 + 4 + 4 +5 / 5 = 4 yes!
Every thing checks out.
There could be a lot of possibilities.
For example take this wrong one
Lets make the same exact thing except change the a and the e.
THis is what we have,
a, b, 4, d, e
Lets make e and a as 6 and 2. 6-2 is still 4 so its possible.
2, b, 4, d, 6
And of course we need more then 1 4 so lets make d 4.
2, b, 4, 4, 6
Now solve for b in the mean.
2 + b + 4 + 4 + 6 / 5 = 4
16 +b /5 = 4
3.2 + b = 4
Solve
B = 0.8
This doesn’t work cause the median and the range has constraint here…
When doing a median, it has to be in ORDER.
2, 0.8, 4, 4 , 6 isn’t in order
ANd even when put in order.
0.8, 2, 4, 4, 6
THe range has the constraint here becuase 6 - 0.8 isn’t 4.
in the lab, Kareem has two solutions that contain alcohol and is mixing them with each other. Solution A is 2% alcohol and Solution B is 7% alcohol. He uses 1200 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 4% alcohol solution?
Answer:
800ml
Step-by-step explanation:
solution A= 2% alcohol
solution B=7% alcohol
1200ml=1.2L
1200ml=1200cm^3
X= solution B
solution A + solution B=(1200+x)cm^3
% alcohol= amount of alcohol/total solution(AorB)×100
☆in 1200ml of solution A there's
0.02x1200
2x12
=24ml of alcohol (in 1200ml of solution A)
0.07x X
=0.07Xml of alcohol (in some ml of solution B)
(24+0.07X)ml of alcohol in = solution A and solution B
solution A + solution B= 1200+X
0.04 (1200+X)=24+0.07X
48+0.04X=24+0.07X
48-24=0.07X-0.04X
24=0.03X
X=800ml
In how many ways can you spell the word FOOT in the grid below? You can start on any letter F, then on each step you can step one letter in any direction (up, down, left, right, or diagonal).
There are six ways in which the word FOOT may be spelt starting at any letter.
What is combination?The term combianntion offers a plausible way to carry out a selection as long as we do not give preference to the order in which the selection is made. In this case, we are told that we can start from any letter therefore order is not important.
There are four letters in FOOT and one letter is repeated twice therefore;
4C2 = 4!/(4-2)! 2!
4C2 = 4 * 3 * 2!/2! * 2 * 1
4C2 = 12/2
4C2 = 6
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Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn’t have feature A. You’re allowed to ask people how old they are and whether they have feature A. You want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A”.
What’s the minimum number of people you have to ask?
>> One person
>> Two people
>> Three people
>> Four people
Which people do you ask?
>> Anne
>> Bob
>> Charlie
>> Daniel
Two people, Anne and Charlie.
StatisticsGiven that Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesn't have feature A, and you want to conclusively test the hypothesis “among these four people, those above age 30 definitely have feature A ”, to determine what's the minimum number of people you have to ask and which people do you ask, the following calculation must be performed:
Of the 4 people, 1 is over 30 years old and another has feature A, with which both should be considered for the study, while the other two do not meet the requirements. So, these two people would be Anne and Charlie.
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Which of the following polynomials has solutions that are not real numbers?
A
x2 - 6x +3
B
x2 + 4x +3
-*? - 9x - 10
x? + 2x +3
Answer:
Option 4 is correct.
Step-by-step explanation:
To find: Polynomial whose solution are not real numbers.
Given Polynomials are Quadratic Polynomial.
So, we can check if solution of quadratic polynomial by find & checking value of discriminant.
Standard form of Quadratic polynomial is given by
ax² + bx + c
then Discriminant, D = b² - 4ac
If, D > 0 ⇒ Solutions are distinct real numbers
if, D = 0 ⇒ Solutions are equal real numbers
if, D < 0 ⇒ Solutions are not real numbers (They are complex conjugates)
Option A:
By comparing with standard form
a = 1 , b = -6 , c = 3
D = (-6)² - 4 × 1 × 3 = 36 - 12 = 24 > 0
Thus, Solutions are Real numbers.
Option B:
By comparing with standard form
a = 1 , b = 4 , c = 3
D = (4)² - 4 × 1 × 3 = 16 - 12 = 4 > 0
Thus, Solutions are Real numbers.
Option C:
By comparing with standard form
a = -1 , b = -9 , c =-10
D = (-9)² - 4 × (-1) × (-10) = 81 - 40 = 41 > 0
Thus, Solutions are Real numbers.
Option D:
By comparing with standard form
a = 1 , b = 2 , c = 3
D = (2)² - 4 × 1 × 3 = 4 - 12 = -8 < 0
Thus, Solutions are not Real numbers.
Therefore, Option 4 is correct.
Step-by-step explanation:
help and walk me thru pleasee
Answer:
Your answer is 63
Step-by-step explanation:
First lets find the area of the rectangle:
To find the area of a rectangle your multiply the length by the width. In this case it is 5 and 9 so..
5 x 9 = 45
Now to find the area of the triangle:
Formula for triangle: 1/2(bh)
9 is your height to find the base subtract 5 from 9:
9 - 5 = 4
Now divide that by 2:
4 / 2 = 2
2 is your base
Now we know the base and height solve:
1/2(2 x 9)
1/2(18)
18 / 2 = 9
multiply 9 by 2
9 x 2 = 18
Now add your areas to find the final area:
45 + 18 = 63
Magan has a bag that contains pineapple chews, cherry chews, and lime chews. He performs an experiment. Magan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Magan performs the experiment 68 times. The results are shown below:
A pineapple chew was selected 59 times.
A cherry chew was selected 3 times.
A lime chew was selected 6 times.
Based on these results, express the probability that the next chew Magan removes from the bag will be cherry chew as a decimal to the nearest hundredth.
Answer:
The Answer is 0.04
Step-by-step explanation:
Over the interval [0,2pi), what are the solutions to cos(2x) = cos(x)? check all that apply
[tex] \cos(2x) = \cos(x) [/tex]
Solution (1)
[tex]2x = x + 2k\pi[/tex]
[tex]2x - x = 2k\pi[/tex]
[tex]x = 2k\pi[/tex]
for k=0 / for k=1 / for k=-1
x=0 / x=2π / x=-2π
acc / acc / rej
solution (2)
[tex]2x = - x + 2k\pi[/tex]
[tex]2x + x = 2k\pi[/tex]
[tex]3x = 2k\pi[/tex]
[tex]x = \frac{2k\pi}{3} [/tex]
for k=0 / for k=1 / for k=-1
x=0 / x=2π/3 / x=-2π/3
acc / acc / rej
Note that i'm trying values of K which make the answer belong to our interval;
So our solution which i will represent as a set is;
S € {0,2π/3,2π}
-3(10)
Simplify
[Multiplication with integers]
Answer:
[tex]\boxed{\sf{-30}}[/tex]
Step-by-step explanation:
To solve this problem, all you have to do is solve by order of operations.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract-3(10)First, remove parenthesis.
Multiply.
-3*10
Solve.
[tex]\sf{-3*10=\boxed{\sf{-30}}[/tex]
-30
Therefore, the correct answer is -30.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
-30
Step-by-step explanation:
it is adding 10 three times, but then you add the negative after
so it is 10+10+10 because you are multiplying it by 3
you could also add 3 ten times because the communitive property
so 3+3+3+3+3+3+3+3+3+3
you would do the same whether the -3 was in parentheses or not
Determine the equation of a Linear Function with a negative slope, goes through the point (0,5), and has a hole at x = -1
Answer:
[tex]y=\frac{-x(x+1)}{x+1} +5[/tex]
Step-by-step explanation:
This function has a slope of -1, a hole at x = -1, and a y-intercept of 5
Which field is required when importing vendors
Import field: Tax Identification Number, Tax Number for Customers or Vendors. Tax Identification Number (customers) or Tax ID Number (vendors).
The perimeter of the triangle at the right is 22.6 in. What is the value of n?
A. 3.5
B. 4.6
C. 7.8
D. 9.4
Answer:
A. 3.5
Step-by-step explanation:
The perimeter is just the sum of all of the side lengths. The sides of this triangle are n inches, (n + 5.2) inches, and (2n + 3.4) inches.
So, your equation is n + n + 5.2 + 2n + 3.4 = 22.6 inches.
You can combine like terms (adding together all of the n's and all of the numbers) to simplify your equation to 4n + 8.6 = 22.6 inches.
Subtract 8.6 from both sides of the equation to get 4n = 14, and divide both sides by 4 to get n = 3.5.
Hope this helps! :)
what is the third quartile of the following data set? 24,20,35,43,28,42,25,29,44,21,37
Answer:42 is the third quartile
Step-by-step explanation:
find x and y. use proper postulates or theorems to justify your answer
Answer:
x = 110
y = 23
Step-by-step explanation:
For X :
100 = x -10
110 = x
Corresponding angles are equal
For Y :
180 - 110 = 70
(2y + 24) = 70
2y = 46
y = 23
Adjacent Angles on a straight line add up to 180 Degrees
a prize is divided in the rayio 1:4. if the larger share is £96 what is the total prize
Answer:
£120
Step-by-step explanation:
96 divided by 4=£24
1=£24
24+96=120
Elise drinks 2 cups of water per hour on Friday. At a certain time, she has already had 4 cups of water. On Friday, Jacob drinks 3 cups of water per hour, and at the same time of day, he has only had 2 cups of water for the day.
Write a system of equations that can be used to determine when Elise and Jacob will have drank an equal amount of water after drinking water for the same number of hours after 10:00 am.
How many hours will it take for Elise and Jacob to drink an equal amount of water?
By finding and solving a system of equations, we will see that after 2 hours they will drink the same amount of water.
How to write and solve the system of equations?For Elise, the number of cups consumed after the 10:00 am is:
y = 2*x + 4
Where x is the number of hours after 10:00 am.
For Jacob, the number is:
J = 3*x + 2
Then the system of equations is:
y = 2x + 4
y = 3x + 2
To solve it, we use the fact that the variable y is already isolated in both equations, so we can write:
2x + 4 = y = 3x + 2
2x + 4 = 3x + 2
Solving for x we get:
4 - 2 = 3x - 2x
2 = x
After 2 hours, Elise and Jacob drink the same amount of water.
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Use the graph or table to find the equation that represents the relationship.
Using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.
What is the Equation that Represents a Linear Graph?If we have a graph or table that represents a linear relationship between x and y, we can use a linear equation to represent the graph or table as, y = mx + b.
The graph or table is missing, however, here's how to find the linear equation that represnts the table or graph.
We would find the following:
Slope (m) = chnage in y/change in x = unit rate.y-intercept (b) = the initial value or the vaue of y when the value of x is 0.Therefore, using the information given in any graph or table, find the slope (m) and y-intercept (b) and substitute their values into y = mx + b, which represents the linear equation.
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Answer:
Here you go
Step-by-step explanation:
Just use a slope calculator
What is the volume of this object?
PLSSS HELP RIGHT ANSWER BRAN;EST
Answer:
23 cubic units
Step-by-step explanation:
1st layer: 8 units
2nd layer: 7 units
3rd layer: 5 units
4th layer: 3 units
8+7+5+3 = 23
See the attachments below
Hope this helps :)
Consider an experiment of tossing an unbiased coin three times. What is the probability of obtaining four heads?
Answer:
0.0625
Step-by-step explanation:
the probability of getting 4 heads in a row is 0.5^4
answer is 0.0625 or 1/16
Write the absolute value equations in the form x−b =c (where b is a number and c can be either number or an expression) that have the following solution sets:
two solutions: x=1/2, x=-1/3
one solution: x=-3
all numbers such that x≤5
all numbers that x ≥-1.3
anything helps!
All cases rewritten in the form of difference expressions are listed below:
x - 1/2 = 0, x + 1/3 = 0x + 3 = 0x - 5 ≤ 0x + 1/3 ≥ 0How to translate equalities and inequalities into difference expressionsEqualities represent relationships between two expressions, in which one expression is equal to another. An equality (x = a) is equivalent to the following difference expression:
x - a = 0 (1)
And inequalities represent relationships between two expressions, in which one expression is not necessarily to another. An inequality (x < a, x > a, x ≤ a, x ≥ a) is represented by the following difference expression:
x - a = b (2)
Where b have the following cases:
If x < a, then b < 0.If x > a, then b > 0.If x ≤ a, then b ≤ 0.If x ≥ a, then b ≥ 0.Now we proceed to rewrite each case in term of difference expressions:
x - 1/2 = 0, x + 1/3 = 0x + 3 = 0x - 5 ≤ 0x + 1/3 ≥ 0To learn more on inequalities, we kindly invite to check this verified question: https://brainly.com/question/19491153
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
6-3/4x+1/3=1/2x+5
2
3
6
12
Answer:
12 because it is a common factor of the denominators
Answer:
178
Step-by-step explanation:
Write the word sentence as an inequality.
1. A number x divided by 3 is at most 5
An inequality that represents this word sentence is ____ .
[tex]\boxed{ \dfrac{x}{3} \leq 5}[/tex]
Explanation:A number {x} {divided by} {3} is {at most} {5}.
↧ ↧ ↧ ↧ ↧
x ÷ 3 ≤ 5
[tex]\text{Inequality formed} \rightarrow \boxed{ \dfrac{x}{3} \leq 5}[/tex]
Answer:
[tex]\sf \dfrac{x}{3}\leq 5[/tex]
Step-by-step explanation:
x divided by 3 = x/3
at most 5 means "equal or less than 5" = ≤ 5
Final solution
[tex]\sf \dfrac{x}{3}\leq 5[/tex]
------------------------------------------------------------------------------------------------
Extra information
Alternative ways of writing the inequality:
x ÷ 3 ≤ 5
[tex]\sf \dfrac13x\leq 5[/tex]
Which expression is equivalent to the following complex fraction?
Answer:I think it might be D but i'm not 100% sure
Adrian is 3 times as old as Anisah now. 4 years ago,Adrian was 28 years older than Anisah . How old will Anisah be in years' time?
Lets have Anisah be x right now.
4 years ago, Adrian was (x-4) + 28 = x+24
Right now, Adrian is 3x.
Knowing those two pieces of information, we can say that x+24 is equal to 3x-4. (This is because Adrian is 3x right now, and for 4 years ago, you subtract 4.)
x+24=3x-4
24=2x-4
28=2x
x=14
Right now Anisah is 14, and in 4 years he will be 14+4 = 18.
PLEASE HELP I WILL GIVE BRAINLIEST
180-135=45
Step-by-step explanation:
the angles should total 360.
the opposite angle R is 135 and is equal to P
S is equal to Q so that can help
Write an equation of the line in the slope-intercept form from each of the following. the y-intercept of 2, the slope is 4
Answer:
y=4x+2
Step-by-step explanation:
Hi there!
We are given that a line has a y intercept of 2, and a slope of 4
We want to write the equation of that line in slope-intercept form
Slope-intercept form can be written as y=mx+b, where m is the slope and b is the y intercept
As we are already given these values, we can substitute the values as needed into the formula to find the equation of the line.
First, substitute 2 as the y intercept (b)
y=mx+2
Now substitute 4 as the slope (m)
y=4x+2
We have found the equation of the line.
Hope this helps!
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Please help 8, 9, and 10 you don't need to explain
Answer:
8.
x
12
9
4.5
9.
3, 4, 12
3, 3, 12
6, 12
-6, -12
2
10.
plug in x to check work
Step-by-step explanation:
8.
1/2(x + 24) = 21
1/2x +12 = 21
1/2x = 9
x = 18
9.
28 - 3x - 4 = 2x + 12 + x
24 - 3x = 3x + 12
24 - 6x = 12
-6x = -12
x = 2
10.
3x - 18 + 6 = 5x - 6
3x - 12 = 5x - 6
-2x - 12 = -6
-2x = 6
x = -3
hope it help.
can you answer my question, i can help you in math, can you help me in english? please
Briana has 3/4 pound of rabbit food. She feeds her rabbit 1/12 pound each day. How many days can Briana feed her rabbit with the food she has?
HELP PLEASE ITS DUE TODAY
The Sun appears so large compared to the other stars because it is so much closer to us than any other star. The Sun is just an average sized star.
Find the greatest possible number of consecutive zeros at the end of the product of three positive integers if the sum of these three integers equals 939.
Answer:
I think its 5 consecutive zeros.
Step-by-step explanation:
This would be a guess but I think you would need two numbers in the hundreds that also have 2 parts of which have a product of a number ending in 0, like 4 and 5.
So my guess would be
400 * 500 * 39
= 7800000