The Sumerians were different from other people of their time as they wee more advanced.
Who were the Sumerians?The Sumerians were a southern Mesopotamian people whose civilisation flourished between approximately 4100 and 1750 BCE. Sumer was an ancient civilization that flourished in the Fertile Crescent region of Mesopotamia, between the Tigris and Euphrates rivers. Sumerians are regarded as the creators of civilisation as we know it today, according to their advancements in language, governance, building, and other fields.
They were able to take technologies produced elsewhere and use them on a far larger scale. This allowed them to mass-produce commodities such as textiles and pottery, which they could subsequently trade with others.
Learn more about Sumerians on:
https://brainly.com/question/27825932
#SPJ1
exercise 2.31. suppose a family has 2 children of different ages. we assume that all combinations of boys and girls are equally likely. (a) formulate precisely the sample space and probability measure that describes the genders of the two children in the order in which they are born. (b) suppose we learn that there is a girl in the family. (precisely: we learn that there is at least one girl.) what is the probability that the other child is a boy? (c) suppose we see the parents with a girl, and the parents tell us that this is their youngest child. what is the probability that the older child we have not yet seen is a boy?
A. P(BB) = P( GG) ,P(BG), P(GB) .1/4 the sample space and probability measure that describes the genders of the two children in the order in which they are born.
B. = 1/2 is the probability that the other child is a boy.
C. 1/2 is the probability that the older child we have not yet seen is a boy.
A. sample space s. {BB,GG,BG,GB}
P(BB) = P( GG) ,P(BG), P(GB) .1/4
B. P(other child is boy / at least one girl
therefore P(A/B) = P(A∩B)/P(B) ( Additional probe)
P(B) = P (at least one girl)
= P (GG)+P(BG)+P(GB)
= 1/4+1/4+1/4
= 3/4
P (A∩B) = P (One boy and one girl)
= P (BG)+P(GB)
= 1/4+ 1/4
= 1/2
Therefore, P(A/B) = [tex]\frac{\frac{1}{2} }{\frac{3}{4} }[/tex] = 2/3
C. P (older child is a boy/ younger child is a girl)
P [tex]\frac{older child\ is a\ boy}{youngerchild is a girl}[/tex]
P(BG)/P (BG)+ P (GG) = 1/4/1/4+1/4 = 1/2
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
To learn more about probability, refer;
https://brainly.com/question/14210034
#SPJ4
Question is in the image. I need help with #19
EXPLANATION
Replacing the given functions into the following:
[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]\frac{x^2-1+h-(x^2-1)}{h}[/tex]Removing the parentheses and simplifying:
[tex]\frac{x^2-1+h-x^2+1}{h}[/tex]Simplifying like terms:
[tex]\frac{h}{h}=1[/tex]Hence,
[tex]\frac{f(x+h)-f(x)}{h}=1[/tex]A group of people were asked if they owned a dog. 191 responded "yes", and 485 responded "no".Find the probability that if a person is chosen at random, they own a dog. 191485 294191 191676
Given:
There are given that the number of people who said yes is 191 and who said no is 485.
Explanation:
According to the given question:
The total number of people is:
[tex]191+485=676[/tex]That means the total outcome is 676.
Now,
The probability that the person is chosen own dog is:
[tex]P=\frac{The\text{ number of people who have their own dog}}{\text{Total number of outcomes}}[/tex]So,
[tex]P=\frac{191}{\text{6}76}[/tex]Final answer:
Hence, the correct option is C.
Answer:
191/676.
Step-by-step explanation:
The total number of people asked is 191 + 485
= 676.
So. the required probability
= number of people owning a dog/ total number of people
= 191/676.
5.
Examine the diagram at right. Then use the
information provided in the diagram to find the
measures of angles a, b, c, and d. For each angle,
name the relationship from your Angle
Relationships Toolkit that helped justify your
conclusion. For example, did you use vertical
angles? If not, what type of angle did you use?
Based on angle relationships, the missing angle measures are:
a = 118° [same side exterior angles]
b = 118° [vertical angles]
c = 32° [Linear pair]
d = 32° [same side interior angles]
How to use Angle Relationship to Find to Find Measures of Angles?Some of the angle relationships that can be used to determine the measures of angles that are formed when two parallel lines are intersected by a transversal are:
Same side exterior angles, which are said to be supplementary, that is, they have a sum that equals 180 degrees.Vertical angles which are equal in measure.Same side interior angles are usually equal to each other.Linear pair which have a sum of 180 degrees.Using angle relationships, the following angle measures are determined as follows:
a = 180 - 62 = 118° [same side exterior angles]
b = a [vertical angles]
b = 118°
c = 180 - 148 [Linear pair]
c = 32°
d = 2 [same side interior angles]
d = 32°
Learn more about angle relationship on:
https://brainly.com/question/12591450
#SPJ1
2. How much heat in kilojoules has to be removed from 225g of water to lower its temperature from 25.0oC to 10.0oC?
Answer:
-14.1 kJ
Step-by-step explanation:
We need the specific heat of water, which is 4.184 J/g-K. It means that 4.184 Joules of energy will raise 1 gram of water by 1 degree Kelvin. It also means that removing 4.184 Joules of energy will lower the temperature of 1 gram of water by 1 degree Kelvin.
We want to lower the temperature by 15 degrees C (-15C). That is also -15K. We have 225 grams of water.
This can be used in the equation q = mc(T2 - T1),
where q is the heat, or energy, m is the mass, c is the specific heat, and (T2-T1) is the temperature change, in Kelvin.
q = mc(T2 - T1)
q = (225g)(4.184 J/g-K)(10K - 25K)
q = (225g)(4.184 J/g-K)(-15K)
q = -14121 J or -14.1 kJ
It is negative because heat is leaving the system.
What is the average rate of change?
Answer:
1/12
Step-by-step explanation:
See attached worksheet.
DS
6) You and five friends went out to a movie. You all
shared a large tub of popcorn that cost $16.50,
and you ordered individual boxes of candy that
cost $3,72 per person. You and your friends decide
to split the bill evenly. How much did each of you
pay?
Answer:
You would each pay $6.42
Have a good one!
How many terms are in this expression?
7a+ 1 + 8b
Answer:
3
Step-by-step explanation:
There are 3 terms. The terms are separated by + signs. They can also be separated by - signs.
The terms are 7a, 1, 8b.
If there was a minus sign in front of the term you need to keep it with the term because it is a negative term.
Answer:
There are a total of 3 terms
Step-by-step explanation:
A term is either a single number or variable, or the product of several numbers or variables. Terms are separated by a + or - sign in an overall expression. We are basically counting how many individual mathematical expressions
7a is a term
1 is a term, and it's a constant
8b is a term
As a Nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patients doctor indicated that you should mix 130 milligrams of Medication A with 117 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?
60 milligrams of medication A should be used this week
Explanation:Given:
Last week, 130 milligrams of Medication A was mixed with 117 milligrams of Medication B
This week, 54 milligrams of medication B was used
To find:
the milligrams for medication A used this week
To determine the milligrams of medication A used, we will apply the ratio of medication A to B
Last week:
A : B = 130 : 117
This week:
A : B = A : 54
[tex]\begin{gathered} eqating\text{ both ratios:} \\ A:B\text{ = A : }B \\ 130:\text{ 117 = A :}54 \\ \\ \frac{130}{117}=\text{ }\frac{A}{54} \\ cross\text{ multiply:} \\ 130(54)\text{ = 117\lparen A\rparen} \end{gathered}[/tex][tex]\begin{gathered} A=\text{ }\frac{130\times54}{117} \\ A=\text{ 60} \end{gathered}[/tex]Hence, 60 milligrams of medication A should be used this week
9. Determine where the graph represents a function explain your answer.
The vertical line test is a visual test to determine if a graph represents a function; since a function can only have one output for every input if a vertical line intersects a curve in more that one point the it is not the graph of a function.
In this case we any vertical line will only intersect one point then we conclude that:
The graph represents a function. Using the vertical line test, the graph intersects any vertical line at only one point.
Calculate If 2x=8 find 5x+1
ANSWER
x = 4; 5x + 1 = 21
EXPLANATION
First, we have to find the value of x using the given equation,
[tex]2x=8[/tex]To do so, divide both sides by 2,
[tex]\begin{gathered} \frac{2x}{2}=\frac{8}{2} \\ \\ x=4 \end{gathered}[/tex]Now, with x = 4, replace it into the expression given to find its value,
[tex]5x+1=5\cdot4+1=20+1=21[/tex]Hence, the value of the expression is 21.
determine the equation of line from the graph
Answer:
y=2x+0
Step-by-step explanation:
This is slope intercept form. The slope is 2 you can tell by the two points on the graph at (0,0) and (1,2). The points move up 2 and over 1. That makes the slope 2/1 but since the bottom half is just a one it can be simplified to 2.
And the +0 just means that its y intercept is 0,0
however it is not required to put +0 at the end
Answer:y=2x+0
Step-by-step explanation:
What number should be the exponent on the 10 so that the two numbers are equivalent? 75.6 - 10% = 0.00756 y = -3 C y = 3 c y y = 4 y = 4 =
Answer:
y = -4
Explanation:
Given the equation:
[tex]75.6\times10^y=0.00756[/tex][tex]\begin{gathered} 0.00756=7.56\times10^{-3} \\ =75.6\times10^{-4} \end{gathered}[/tex]Thus, the number is -4.
8g - 7 = 18 + 3g
SOLVE EQUATION PLEASE
Answer:
g = 5
Step-by-step explanation:
8g - 7 = 18 + 3g
add 7 to both sides:
8g - 7 + 7 = 18 + 3g + 7
8g = 25 + 3g
subtract 3g from both sides:
8g - 3g = 25 + 3g - 3g
5g = 25
divide both sides by 5:
5g/5 = 25/5
g = 5
what is the equation of the line perpendicular to y = 1/2x+1 that contains the point ( - 2 ,1)
The linear equation perpendicular to y = 1/2x+1 that contains the point ( - 2 ,1) is:
y = -2x - 3
How to get the equation of the perpendicular line?Let's say that:
y = m*x + b
Where m is the slope and b is the y-intercept.
Is the line we want to find.
Two lines are perpendicular if the product between the slopes is -1, so this line is perpendicular to:
y = (1/2)*x + 1
Only if:
m*(1/2) = -1
m = -1*2 = -2
So the linear equation is of the form:
y = -2*x + b
If this line passes through (-2, 1), then:
1 = -2*(-2) + b
1 = 4 + b
1 - 4 = b
-3 =b
The linear equation is y = -2x - 3
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
Isaiah's school is having a spring carnival. When Isaiah carries a bin of water balloons outside for the balloon toss, he trips and breaks 12 balloons. He counts the remaining water balloons, and there are 14 left. Which equation can you use to find the number of water balloons w in the bin before Isaiah trips?
Solve this equation for w to find the number of water balloons in the bin. Water balloons
Equation: w - 12 = 14
Answer: 26
Step-by-step explanation:
Lost 12, left with 14.
Let W be water balloons before the trip.
w - 12 = 14
14 + 12 = 26
Proof:
26 - 12 = 14
Solve the following equation for y, simplifying all fractions: 6x + 10y = - 80 a) y = 3 X - 8 5 3 X 8 b) y alw c) y -x + 8 w л | о л | d) y = x – 8
Solving a linear equation with 2 variables
First isolate y term
10 y = -6x - 80
Now divide by 10
y = (-6/10)x -(80/10)
y = (-3/5)x - 8
Help please. Was absent due to medical issues and trying to catch myself up and learn it now.
We paint with:
• red the regions where the function is decreasing,
,• green the regions where the function is increasing.
From the graph, we see that the function is:
• decreasing in the intervals (-∞, -1.5) and (2, ∞),
,• increasing in the interval (-1.5, 2).
Answer
• Increasing on the interval(s): ,(-∞, -1.5), (2, ∞)
,• Decreasing on the interval(s): ,(-1.5, 2)
PLEASE HELP ME ILL RATE YOU 5 STARS AND GIVE U BRAINLY
The ascending order of the set of numbers is √3 - 1, 2√10 ÷ 5, √14, 3√2, √19 + 1, 6
Given,
A set of numbers;
3√2, √3 - 1, √19 + 1, 6, 2√10 ÷ 5, √14
We have to arrange this numbers from least to greatest. That is, in ascending order.
Ascending order;
Numbers can be arranged in ascending order, from least value to highest value. The arrangement is left to right. Increasing order is another name for ascending order.
Here,
First we have to find the values of the square roots in the numbers.
3√2 = 4.24
√3 - 1 = 0.73
√19 + 1 = 5.36
6
2√10 ÷ 5 = 1.26
√14 = 3.74
Then,
6 is the greatest number and √3 - 1 is the least number.
That is,
The ascending order of the set of numbers is √3 - 1, 2√10 ÷ 5, √14, 3√2, √19 + 1, 6
Learn more about ascending order here;
https://brainly.com/question/20681445
#SPJ1
what is the slope of the line represented by the equation 4/5x -3
The slope of the line represented by the equation; 4/5x - 3 is; 4/5.
What is the slope of the line represented by the equation 4/5x - 3?It follows from the task content that the slope of the line represented by the equation; (4/5)x - 3 is to be determined.
Recall, from line geometry and equation of lines;
The slope-intercept form of the equation of a line, y is given as; y = mx + c.
Where, m is the slope and c is the y-intercept.
Therefore, by comparison of the equation defined as; 4/5x - 3; it follows that the slope of the equation is; 4/5.
Ultimately, the required slope is; 4/5.
Read more on slope-intercept form;
https://brainly.com/question/1884491
#SPJ1
Any body know the answer to this question?
The curves are intersecting at (1, 1) and (-10, -4)
Nonlinear functions are the functions where the equations are not linear or the highest degree is more than 1. The following are some examples where the functions are not linear or non-linear. Ex. [tex]x^{2}[/tex] + 4x -1
In the above question, a graphical representation of non-linear system of equations is given
We need to find the solution of this non-linear system of equations based on the graphical representation
We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations
We can clearly see that, the curves are intersecting at
(1, 1) and (-10, -4)
To learn more about, solutions of equation, here
https://brainly.com/question/14603452
#SPJ1
The curves are intersecting at (1, 1) and (-10, -4)
Nonlinear functions are the functions where the equations are not linear or the highest degree is more than 1. The following are some examples where the functions are not linear or non-linear. Ex. [tex]x^{2}[/tex] + 4x -1
In the above question, a graphical representation of non-linear system of equations is given
We need to find the solution of this non-linear system of equations based on the graphical representation
We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations
We can clearly see that, the curves are intersecting at
(1, 1) and (-10, -4)
To learn more about, solutions of equation, here
https://brainly.com/question/14603452
#SPJ1
Write the numbers from greatest to least -2.1, -1 5/6, -1 2/3, -2.2
In form of a/b
The numbers from greatest to least is - 1 2/3, -1 5/6, -2.1 and -2.2.
How to calculate the values?Based on the information, we want to arrange the numbers from the greatest to the least.
In this case, it will be illustrated thus:
-2.1
-1 5/6 = -1.83
-1 2/3 = -1.67
-2.2
This will be arranged as - 1 2/3, -1 5/6, -2.1 and -2.2. In this case, it can be deduced that - 1 2/3 is the greatest and the least number is -2.2. This shows the concept of descending numbers.
Learn more about numbers on:
brainly.com/question/24644930
#SPJ1
(3x(2)+4x+2)-(7x(2)+2x+5)
how do we solve it please someone help
The simplified form of the expression [tex](3x^2+4x+2)-(7x^2+2x+5)[/tex] is [tex]-4x^2+2x-3[/tex].
In the given question,
The given expression is [tex](3x^2+4x+2)-(7x^2+2x+5)[/tex].
We have to solve the given expression.
To solve this question we use have to follow some rule.
Some Rules are
We have to remove parentheses from each side of the equation and combine similar phrases to make it simpler. To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.In this given question to solve the expression we firstly solve the bracket.
When we multiply the term under the bracket with minus sign then all sign under the bracket will also be changed
Now simplifying the expression.
[tex]=3x^2+4x+2-7x^2-2x-5[/tex]
Now we combine the similar term.
[tex]=(3x^2-7x^2)+(4x-2x)+(2-5)[/tex]
[tex]=-4x^2+2x-3[/tex]
Hence, the simplified form of the expression [tex](3x^2+4x+2)-(7x^2+2x+5)[/tex] is [tex]-4x^2+2x-3[/tex].
To learn more about to solve the equation link is here
https://brainly.com/question/12868965
#SPJ1
A wedding planner placed two orders with a flower shop. The first order was for 13 bunches of roses and 4 palms, totaling $487. The second was for 6 bunches of roses and 2 palms, totaling $232. The receipts do not list the item per price. What is the cost of one bunch of roses and one palm?
Let's call X the cost of one bunch of roses and Y the cost of one palm.
Then, the first order was for 13 bunches of roses and 4 palms, totaling $487, so:
13X + 4Y = 487
Additionally, the second order was for 6 bunches of roses and 2 palms, totaling $232, so:
6X + 2Y = 232
Then, solving for Y on the first equation, we get:
[tex]\begin{gathered} 13X+4Y=487 \\ 4Y=487-13X \\ Y=\frac{487-13X}{4} \\ Y=\frac{487}{4}-\frac{13}{4}X \\ Y=121.75-3.25X \end{gathered}[/tex]Replacing on the second and solving for X, we get:
[tex]\begin{gathered} 6X+2Y=232 \\ 6X+2(121.75-3.25X)=232 \\ 6X+2\cdot121.75-2\cdot3.25X=232 \\ 6X+243.5-6.5X=232 \\ -0.5X+243.5=232 \\ -0.5X=232-243.5 \\ -0.5X=-11.5 \\ X=\frac{-11.5}{-0.5} \\ X=23 \end{gathered}[/tex]Then, we can replace the value of X and calculated the value of Y as:
[tex]\begin{gathered} Y=121.75-3.25X \\ Y=121.75-3.25\cdot23 \\ Y=121.75-74.75 \\ Y=47 \end{gathered}[/tex]Answer: The cost of one bunch of roses is $23 and the cost of one palm is $47
Write an equation of the line passing through the point (2, -9) that is perpendicular to the line V=x+6.
The equation of the line that is perpendicular to y = x + 6 is expressed as: y = -x - 7
How to Write the Equation of a Line?The equation of a line can be written as y = mx + 1. The value of m is the slope while the value of b is the y-intercept.
The slopes of two lines that are perpendicular to each other are negative reciprocals. This means, if we multiply their slope values together, we will get -1.
Given the line, y = x + 6, the slope of the line is 1. The slope of the line it is perpendicular to is -1, because -1 is the negative reciprocal of 1.
Substitute m = -1 and (x, y) = (2, -9) onto y = mx + b to find the value of b:
-9 = -1(2) + b
-9 = -2 + b
-9 + 2 = b
-7 = b
b = -7
To write the equation of the perpendicular line, substitute m = -1 and b = -7 into y = mx + b:
y = -x - 7
Learn more about equation of a line on:
https://brainly.com/question/10790818
#SPJ1
What angle does a 3.8 m ladder make with the ground if it reaches 2.1 m up the wall? How far is the foot of the ladder from the wall? (Give your answers to the nearest degree and the 1 decimal place of the metre.)
Answer:
here is the answer hop it helps mark me the brainliest
Helpppppp x = – 3
y = – 1
The graphs of the equations are in the attached graph
'
How to plot the equations on the graph?Equation (2)
From the question, the equation is given as
x = -3
In the above equation, we can see that
The equation has only one variable and the highest power of the variable is 1
Since the variable is x, then it means that the line of the graph is a vertical line that passes through point x = -3
See attachment for the graph
Equation (3)
Here, we have
y = -1
Also in this equation, we can see that
The equation has only one variable and the highest power of the variable is 1
Since the variable is y, then it means that the line of the graph is a horizontal line that passes through point y = -1
See attachment for the graph
Read more about linear functions at
https://brainly.com/question/15602982
#SPJ1
Determine whether each order pair is a solution of the equation
Answer:
Given equation is, x+3y=6
To determine whether each order pair is a solution of the equation
(3,1)
we have that, when x=3 we get y=1
Let us check this in the equation.
Put x=3, we get
[tex]3+3y=6[/tex][tex]\begin{gathered} 3y=6-3 \\ 3y=3 \end{gathered}[/tex][tex]y=1[/tex]Hence (3,1) is the solution of the equation.
(6,0)
Put x=6, we get,
[tex]6+3y=6[/tex][tex]y=0[/tex]
Hence (6,0) is the solution of the equation.
(-2,2/3)
Put x=-2, we get,
[tex]-2+3y=6[/tex][tex]3y=6+2[/tex][tex]y=\frac{8}{3}[/tex]Hence (-2,2/3) is not the solution of the equation.
Can someone help me out (I will give branliest)
Answer: Emma > Amelia > Brandon > Celesle > Damian
Step-by-step explanation:
We convert all the fractions to decimals (2 decimals).
Amelia 4.35 lbs
Brandon [tex]4\frac{1}{3}= \frac{12}{3} +\frac{1}{3} =\frac{13}{3}[/tex] ≈ 4.33 lbs
Celesle 4.2 lbs
Damian √15 ≈ 3.87 lbs
Emma [tex]4\frac{2}{3} =\frac{12}{3} +\frac{2}{3} =\frac{14}{3}[/tex] ≈ 4.67 lbs
4.47 lbs > 4.35 lbs > 4.33 lbs > 4.2 lbs > 3.87 lbs
Emma > Amelia > Brandon > Celesle > Damian
Write a linear function in witch f(3)=-4 and f(1)=2
The linear function is y = -3x -5 with f(3)=-4 and f(1)=2.
Define linear function.The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields. The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. Any function with the formula f(x) = mx + b—where m and b are constants—is said to be linear. Because the graphs of these functions are lines in the plane, we refer to them as linear.
Given Data
f(3) = -4
f(1) = 2
The ordered pairs are (3,-4) and (1,2)
The equation of the line :
y - y₁ = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex](x - x₁)
y + 4 = [tex]\frac{2+4}{1-3}[/tex] (x-3)
y + 4 = -3(x -3)
y + 4 = -3x + 9
3x + y = -5
y = -3x -5
To learn more about linear function, visit:
https://brainly.com/question/20055246
#SPJ13