Answers
Answer: A) 4 B) 30 C) 6
Step-by-step explanation:
For question A, you subtract the highest number and the lowest number (10-6)
For question B, you add all the frequency numbers together
For question C, you use your answer on B and divide it by 5
Related Questions
Rounded to three decimal places, the value of the irrational number e is .A.3.142B.3.615C.2.718D.2.947
Answers
REQUIRED:
Round to 3 decimal placed the value of the irrational number e.
Step-by-step solution/explanation;
The letter e in mathematics is also known as the Eular's number and is a mathematical constant used in many calculations especially natural logarithms of numbers.
The value of the Eular's number is approximately;
[tex]e\approx2.71828182846...[/tex]It can continue till infinity, however approximations of this number is always used to avoid unnecessary complications.
Therefore, rounded to 3 decimal places, the value of e is now;
ANSWER:
[tex]e\approx2.718[/tex]Note that we take 3 digits aftre the decimal and then if the fourth digit after the decimal is 5 or greater than 5, we make it 1 and add that 1 to the third digit after the decimal. Otherwise we simply make it zero and cancel it along with all other digits after it.
The digit that follows 8 (third digit) is less than 5, therefore, we write it off along with all other digits after it, and we are left with the decimal point and then ...718.
Option C is the correct answer.
the company has been
Answers
According to the given diagram, we have 4 shirts in total, where there's only one short-sleeve white shirt, so we just have to divide 1/4
[tex]P=\frac{1}{4}=0.25[/tex]Then, we multiply by 100 to express it in percentage
[tex]P=0.25\cdot100=25[/tex]Hence, the answer is 25%.Lin is paid $90 for 5 hours of work. She used the following table to calculate how much she would be paid at this rate for 8 Hours of work. 1. What is the meaning of the 18 that appears in the table? 2. Explain how Lin used this table to solve the problem. 3. At this rate, how much would Lin be paid for 3 hours of work? For 2.1 hours of work. AMOUNTS EARNED ($) | TIME WORKED(hours)
Answers
Let
y ------> the amount earned
x ----> the number of hours worked
In this problem we have a direct variation
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y=kx
where
k is the constant of proportionality
k=y/x
In this problem the value of k is hourly rate
so
we have
For y=$90 -------> x=5 hours
substitute
k=90/5
k=$18 per hour
substitute in the linear equation
y=18x
so
Part 1) What is the meaning of the 18 that appears in the table?
18 is the hourly rate ( amount earned by a one hour of work)
Part 2) Explain how Lin used this table to solve the problem.
using the table
For x=8 hours
the value of y=$144
Verify with the equation
y=18x
y=18(8)=144 -----> is ok
Part 3) At this rate, how much would Lin be paid for 3 hours of work? For 2.1 hours of work.
For x=3 hours
substitute in the equation
y=18x
substitute the value of x
y=18(3)=$54
For x=2.1 hours
y=18(2.1)=$37.8
A jar of marbles contains the following: two red marbles, three white marbles, five blue marbles, and seven green marbles.What is the probability of selecting a red marble from a jar of marbles?
Answers
ANSWER
[tex]\frac{2}{17}[/tex]EXPLANATION
Given;
[tex]\begin{gathered} n(Red)=2 \\ n(white)=3 \\ n(blue)=5 \\ n(green)=7 \end{gathered}[/tex]The total number of marble is;
[tex]n(Total)=2+3+5+7=17[/tex]Recall, the probability of an event can be calculated by simply dividing the favorable number of outcomes by the total number of the possible outcome
Hence, the probability of selecting a red marble is;
[tex]\begin{gathered} Prob(Red)=\frac{n(Red)}{n(Total)} \\ =\frac{2}{17} \end{gathered}[/tex]if AC equals x + 3 and DB equals 3x - 19 find a CFA E equals 3x + 3 + E C equals 5x - 15 find a c d equals 50x - 7 + 80 equals 4x + 9 find DB
Answers
2) If DB = 27 the we can replace that:
[tex]27=3x-19[/tex]and we can solve for x
[tex]\begin{gathered} 3x=27-19 \\ 3x=8 \\ x=\frac{8}{3} \end{gathered}[/tex]now we can replace x in the equation for AC:
[tex]\begin{gathered} AC=x+3 \\ AC=\frac{8}{3}+3 \\ AC=\frac{8}{3}+\frac{9}{3} \\ AC=\frac{17}{3} \end{gathered}[/tex]3) we have that:
[tex]\begin{gathered} AE=3x+3 \\ EC=5x-15 \end{gathered}[/tex]So the segment AC will be the sum of the segments:
[tex]\begin{gathered} AC=AE+EC \\ AC=3x+3+5x-15 \\ AC=8x-12 \end{gathered}[/tex]and we also know that
[tex]\begin{gathered} x=\frac{8}{3} \\ \text{then} \\ AC=\frac{64}{3}-\frac{36}{3} \\ AC=\frac{28}{3} \end{gathered}[/tex]3) we have that:
[tex]\begin{gathered} DE=6x-7 \\ AE=4x+6 \end{gathered}[/tex]which equation represents the function modeled by the graph? (picture of graph below)
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Answer:
The parent function of the graph is given below as
[tex]y=\sqrt[3]{x}[/tex]The parent function has undergone transformation
Hence,
Using a graphing calculator, we will have the graph be
Hence,
The final answer is
[tex]\Rightarrow f(x)=\sqrt[3]{4x+2}[/tex]The FIRST OPTION is the right answer
Can you help me, please? I have to find the restrictions on x .Thank you.
Answers
If angle A is greater than angle C, then side BC is greater than side AB.
[tex]\begin{gathered} BC>AB \\ 8-x>4x+48 \end{gathered}[/tex]Then, we solve for x
[tex]\begin{gathered} -4x-x>48-8 \\ -5x>40 \\ x<-\frac{40}{5} \\ x<-8 \end{gathered}[/tex]Hence, the restriction of x is that its value must be less than -8.The graph of function g is a vertical stretch of the graph of function f by a factor of 3. Which equation describes function g?
g(x)=f(x/3)
g(x)=3f(x)
g(x)=f(3x) ,
g(x)=1/3f(x)
Answers
Answer:
B) g(x) = 3f(x)Step-by-step explanation:
What is a vertical stretch?Given a function f(x), a new function g(x) = cf(x), where c is a constant, is a vertical stretch of f(x) when c > 1.
In our case the function f(x) is stretched by a factor of 3.
It means c = 3 and therefore:
g(x) = 3f(x)Correct choice is B
b. 9m2 + 6m + 6 = 5 has real roots and imaginary roots
Answers
the given equation is
[tex]\begin{gathered} 9m^2+6m+6=5 \\ 9m^2+6m+1=0 \end{gathered}[/tex]we will calculate
[tex]D=b^2-4ac[/tex]so
[tex]\begin{gathered} =6^2-4\times9\times1 \\ =36-36 \\ =0 \end{gathered}[/tex]as D is 0 so it has one real root
May I please get help with this math problem it’s so confusing
Answers
We have to find the value of z and x.
We assume that lines g and h are parallel.
Then, z and the angle with measure 85° are consecutive interior angles.
As they are conscutive interior angles, their measures add 180°.
Then, we can write:
[tex]\begin{gathered} z+85\degree=180\degree \\ z=180-85 \\ z=95\degree \end{gathered}[/tex]Then, we can relate the angle with measure z with the angle with measure (6x-109). They are vertical angles and, therefore, they have the same measure.
Then, we can write:
[tex]\begin{gathered} z=6x-109 \\ 95=6x-109 \\ 95+109=6x \\ 204=6x \\ x=\frac{204}{6} \\ x=34 \end{gathered}[/tex]Answer: z = 95 and x = 34.
Instructions: Find the missing length indicated.BII1600900X
Answers
From the diagram given in the question, we are asked to find the missing length indicated.
We can see from the diagram that the right triangles are similar, so the ratio of hypotenuse to short leg is the same for all.
So,
x/900 = (1600 + 900)/x
Let's cross multiply:
x² = 900(2500)
let's take square of both sides:
x = √(900) * √(2500)
x = 30(50)
x = 30 * 50
x = 1500
Therefore, the missing length is 1500
The sum of ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
Answers
50 X 5 X 3
answer divide
by 36
Which of the following is the position vector for a vector that has an initial point of (10, 2) andterminal point of (-8, -7)?
Answers
initial point = (10,2)
Terminal point = (-8,-7)
subtract the coordinates of the initial point from the coordinates of the terminal point
Position vector = ( -8-10 , -7-2 ) = <-18,-9>
Can I please just have the answer I’m in a hurry to complete this lol
Answers
By rearranging the triangles side by side and making sure the triangles vertices touches each other. The image below is formed
What you notice : The image formed by placing the triangle side by side with the vertices touching each other is that, the shape formed is a trapezium.
a) If the triangles are cut out at equal proportion, then the angles are equal and the the triangles are equiangular; the angles are 60 degrees each
b) If the triangles are not cut out equally, then the greatest number of right angle that we can get in a triangle is one (1) and the greatest number of obstuse angle in a triangle is one (1)
Reason:
The sum of the three angles of a triangle is 180 degrees, of which if one angle is 90 degrees (right angle) then the other two angles will be less than 90 degrees each, as their sum will give 90 degrees
Also if one of the three angles is an obtuse angle ( say 115 degrees) then the other two angles will be acute angles each.
how do I find the perimeter of a quadrilateral on a graph?
Answers
The perimeter of a figure is always the sum of the lengths of the sides.
If we have the coordinates of the vertices of the quadrilateral, we can calculate the length of each side as the distance between the vertices.
For example, the length of a side AB will be the distance between the points A and B:
[tex]d=\sqrt[]{(x_b-x_a)^2+\mleft(y_b-y_a\mright)^2}[/tex]Adding the length of the four sides will give the perimeter of the quadrilateral.
What is the volume in cubic feet of a corn crib that is 21 feet long, 9 feet wide, and 12 feet high?How many bushels of corn can be stored in the crib? (Note 1.25 cubic feet = 1 bushel)
Answers
Answer:
Volume = 2268 ft³
1814.4 bushels of corn
Explanation:
The volume of the corn crib can be calculated as:
Volume = Length x Width x Height
Then, the volume is equal to:
Volume = 21 ft x 9 ft x 12 ft
Volume = 2268 ft³
Finally, to know the number of bushels of corn that can be stored, we need to divide the volume of the corn crib by the volume of each bushel of corn. So:
[tex]\frac{2268ft^3}{1.25ft^3}=1814.4\text{ bushels of corn}[/tex]Therefore, the volume of the corn crib is 2268 ft³ and it can store 1814.4 bushels of corn.
Trent earns scores of 60, 90, and 72 on three chapter tests for a certain class. His homework grade is 68 and his grade for a class project is 64. The overall average for the course is computed as follows: the average of the three chapter tests makes up 50% of the course grade; homework accounts for 10% of the grade; the project accounts for 20%; and the final exam accounts for 20%. What scores can Trent earn on the final exam to pass the course if he needs a "C" or better? A "C" or better requires an overall score of 70 or better, and 100 is the highest score that can be earned on the final exam. Assume that only whole-number scores are given. To obtain a "C" or better, Trent needs to score between and Inclusive.
Answers
A: 90% - 100%
B: 80% - 89%
C: 70% - 79%
D: 60% - 69%
F: 0% - 59%
Using the data provided:
[tex]0.5(\frac{60+90+72}{3})+0.1(68)+0.2(64)+0.2(x)\ge70[/tex]Where:
x = Score of the final exam in order to get at least a C.
Solve for x:
[tex]\begin{gathered} 37+6.8+12.8+0.2x\ge70 \\ 56.6+0.2x\ge70 \\ 0.2x\ge70-56.6 \\ 0.2x\ge13.4 \\ x\ge\frac{13.4}{0.2} \\ x\ge67 \end{gathered}[/tex]He needs to score between 67 and 100
I will show you the pic
Answers
We are given the following system of equations:
[tex]\begin{gathered} 6x-4y=-8,(1) \\ y=-6x+2,(2) \end{gathered}[/tex]To solve this system by substitution we will replace the value of "y" from equation (2) in equation (1)
[tex]6x-4(-6x+2)=-8[/tex]Now we use the distributive property:
[tex]6x+24x-8=-8[/tex]Now we add like terms:
[tex]30x-8=-8[/tex]Now we add 8 to both sides:
[tex]30x-8+8=-8+8[/tex]Solving the operations:
[tex]30x=0[/tex]Dividing by 30:
[tex]x=\frac{0}{30}=0[/tex]Therefore x = 0. Now we replace the value of "x" in equation (2):
[tex]\begin{gathered} y=-6x+2 \\ y=-6(0)+2 \\ y=2 \end{gathered}[/tex]Therefore, the solution of the system is:
[tex](x,y)=(0,2)[/tex]Question 19 of 25 Which of these is a factor in this expression? 6z^4 - 4+9 (y² +9) O A. (y +9 O B. 624 - 4 OC. 9 (y +9 OD. -4+9 (y +9)
Answers
1) In this expression, we have already a factored form. So the factor in this expression is 9(y³+9) Because multiplying "distributing it" we'll have the whole expression
6z^4 -4+9(y³+9)
6z^4 -4 +9y³+81
2) 9(y³+9)
Find the equation for the line through points (-3,1) and (4,7) use y=Mx+b
Answers
A = (-3, 1) and B = (4,7)
[tex]m=\frac{y2-y1}{x2-x1}[/tex][tex]m=\frac{7-1}{4-(-3)}=\frac{6}{7}[/tex][tex]y=\frac{6}{7}x+b[/tex]Now, for b, using point B
[tex](7)=\frac{6}{7}(4)+b[/tex][tex]b=7-\frac{6}{7}(4)\rightarrow b=\frac{25}{7}[/tex][tex]y=\frac{6}{7}x+\frac{25}{7}[/tex]Determine if the following answers are true or false. If false, justify why it’s not true and find the correct answer(s). If true, justify why they are correct. You must show your step-by-step process to solve each question to receive full credit.
Answers
Given the following inequality
[tex]\begin{gathered} \tan ^2(x)>\sqrt[]{5} \\ x\in\lbrack-\pi,\pi\rbrack \\ \end{gathered}[/tex]We need to check if x=0.981 is a solution.
This value is inside of the range, then, we just need to evaluate.
[tex]\tan ^2(0.981)\approx2.2325919107[/tex]Calculating the square root of 5:
[tex]\sqrt[]{5}\approx2.2360679775[/tex]From this, we know that the statement is false, because
[tex]\tan ^2(0.981)<\sqrt[]{5}[/tex]Let f(x) = 2x
. Suppose that a new function g(x) is created by taking the
graph of f(x) and performing the following transformations:
• Reflection in the x-axis
• Reflection in the y-axis
• Vertical stretch by a factor of 3
• Translation up 2 units
• Translation right 3 units. [3, 2 marks]
a) Find a possible equation for g(x).
Answers
Assume that a new function g(x) is created by taking the graph of f(x) and performing the following transformations: vertical stretch by a factor of 3
What is meant by Reflection?A reflection is the shape's mirror image. The line of reflection is formed when an image reflects through a line. A figure is said to reflect another figure when every point in one figure is equidistant from every point in another figure. The reflected image should be the same shape and size as the original, but it should face in the opposite direction. Translation can also occur as a result of changes in position. The original image is referred to as the pre-image, and its reflection is referred to as the image. The pre-image and image are represented by ABC and A'B'C', respectively. The coordinate system may be used in the reflection transformation (X and Y-axis).To learn more about Reflection, refer to:
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7/11% of a quantity is equal to what fraction of a quantity
Answers
7/11% can be written as:
[tex]\begin{gathered} \frac{\frac{7}{11}}{100}=\frac{7}{11}\times\frac{1}{100} \\ \frac{\frac{7}{11}}{100}=\frac{7}{1100} \end{gathered}[/tex]So 7/11% of a quantity is equal to 7/1100 fraction of a quantity
Answer:41/10,000
7/17% = 0.41% = 0.0041
41/10,000
Step-by-step explanation:
Raphael has an odd-shaped field shown in Figure 13-2. He wants to put a four-strand barbed wire fence around it for his cattle.A. What is the perimeter of the field?b. How many 80-rod rolls of barbed wire does he need topurchase?c. How many acres will be fenced?
Answers
Answer: Total perimeter = 9, 962.01 feet
The figure is a composite structure
It contains a rectangle and triangle
The perimeter of a rectangle is given as
Perimeter = 2( length + width)
length of the rectangle = 1500ft
Width of the rectangle = 1390 ft
Perimeter = 2( 1500 + 1390)
Perimeter = 2(2890)
Perimeter = 5780 ft
To calculate the perimeter of a triangle
[tex]\begin{gathered} \text{Perimeter = a + b + }\sqrt[]{a^2+b^2} \\ a\text{ = 1050ft and b = 1390 ft} \\ \text{Perimeter = 1050 + 1390 + }\sqrt[]{1050^2+1390^2} \\ \text{Perimeter = 2440 + }\sqrt[]{1,102,\text{ 500 + 1, 932, 100}} \\ \text{Perimeter = 2400 + }\sqrt[]{3,034,600} \\ \text{Perimeter = 2440 + 1,742,01} \\ \text{Perimeter = }4182.01\text{ f}eet \end{gathered}[/tex]The total perimeter of the field = Perimeter of the rectangle + perimeter of the right triangle
Total perimeter = 5780 + 4182.01
Total perimeter = 9, 962.01 feet
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The system of conics has two solutions.
(x−1)2+(y+4)2=25(x−1)225+(y+4)2100=1
What are the solutions to this system of conics?
Enter your answer by filling in the boxes.
Answers
Answer:
(2,0) and (-2,0)
Step-by-step explanation:
pls mark me Brainliest
Answer: (-4,-4) (6,-4)
Step-by-step explanation:
I took the test and it said these were the corrects answers.
1 ptsQuestion 7Mike reads 5 pages an hour. The independent variable is time. What is the dependentvariable?O the number of pagesthe number of hoursO the number of books
Answers
We are given that Mike reads 5 pages an hour. This is the quotient of pages with respect to time. In this case, the time is the independent variable and the number of pages is the dependent variable since the number of pages depends on the time interval that is considered.
Somebody please answer asap for brainlist please
Answers
The thing that the change that takes place in Ulrich and Georg suggested that the authors theme may be A. Wild anger can lead to wild deaths.
What is the story about?The Interlopers is a story about two men who met in a forest and we're fighting over a land. They were trapped under a tree. In the end, they wee killed by a wolf.
It should be noted that the theme was illustrated in the story. This was that anger can bring about death. This was depicted ad Georg and rich fired due o their anger.
In conclusion, the correct option is A.
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what is the LCM of 4 and 6 ?
Answers
LCM stands for Least Common Multiple.
And it is defined as the product of the two numbers divided by the GCD (greatest common divisor)
In our case, the product of 4 and 6 is 24, , and the greatest common divisor of 4 and 6 is "2". Therefore, the LCM of 4 and 6 is 24/2 = 12
Let me also use the Venn diagram that your teacher provided:
In the diagram we enter the factors that correspond to both numbers (4 and 6), and in the intersection of the two sets (intersection of the circle) we type a "2" which is the ONLY factor 4 and 6 have in common (the greatest common divisor of the two given numbers) So complete a diagram as follows:
We typed a 2in the area common to both numbers. Then your LCM is the product of 2 times 2 times 3 = 12
Notice the blue set (circle) contains the two factors for 4 (2 * 2) and the orange circle contains the two factor for 6 (2 * 3)
We set in the intersection of the two circles the factor that is common to both.
Do you want me to complete the second question with a Venn diagram as well? Perfect.
The second question is about the LCM of the numbers 12 and 8
Then we create a Venn diagram like the following, considering that the factor in common between 12 and 8 is 4, because 12 = 4 * 3 and 8 = 4 * 2
Again here, the factors 3 and 4 (that give 12) are typed in the blue circle. and the factors that form 8 (4 * 2) are typed inside the orange circle.
The factor that both share is in the middle "4". Therefore, now to find the LCM you simply multiply the three numbers shown in the Venn diagtam: 3 * 4 * 2 = 24
Then 24 is your LCM.
1Choose the equation that matches the table below.X-101331521Ny-5-27O y = -7x+5O y = 5xOy=3x-2Oy=x-2
Answers
Given:
The coordinates are:
Find-:
The equation of a line
Explanation-:
The general equation is:
[tex]y=mx+c[/tex]Where,
[tex]\begin{gathered} m=\text{ Slope} \\ \\ (x,y)=\text{ Coordintes of line} \\ \\ c=\text{ y-intercept} \end{gathered}[/tex]The formula of the slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Choose any two points from the chart is:
[tex]\begin{gathered} (x_1,y_1)=(-1,-5) \\ \\ (x_2,y_2)=(0,-2) \end{gathered}[/tex]Then the slope is:
[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \\ m=\frac{-2-(-5)}{0-(-1)} \\ \\ m=\frac{-2+5}{0+1} \\ \\ m=\frac{3}{1} \\ \\ m=3 \end{gathered}[/tex]If the slope of the line is 3, then the equation becomes:
[tex]\begin{gathered} y=mx+c \\ \\ y=3x+c \end{gathered}[/tex]The value of "c" is:
Choose any one point.
[tex](x,y)=(0,-2)[/tex]The value of "c" is:
[tex]\begin{gathered} y=3x+c \\ \\ (x,y)=(0,-2) \\ \\ -2=3(0)+c \\ \\ -2=0+c \\ \\ c=-2 \end{gathered}[/tex]The equation of line is:
[tex]\begin{gathered} y=mx+c \\ \\ y=3x+(-2) \\ \\ y=3x-2 \end{gathered}[/tex]The equation of line is y = 3x-2
in the experiment of the preceding exercise, the subjects were randomly assigned to the different treatments. what is the most important reason for this random assignment?
Answers
The most important reason for random assignment on the subjects in the experiment, is because random assignment would be the best way in creating group of subjects to the different treatments.
Note that; the group of subjects are roughly equivalent at the beginning of the experiment.
Using random assignment will allow the allocation of different patients to various treatments at a random order. From this there will be objective results obtained altogether from the experiment under investigation.
Random assignment will eliminate any biasness that may occur when conducting the experiment. It prevents favoritism of any event from occurring. It will ensure that all the different patients have an equal chance of being selected for various treatment.
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