Answer:
Simplifying
1.6 + 4x = 14
Solving
1.6 + 4x = 14
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.6' to each side of the equation.
1.6 + -1.6 + 4x = 14 + -1.6
Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 4x = 14 + -1.6
4x = 14 + -1.6
Combine like terms: 14 + -1.6 = 12.4
4x = 12.4
Divide each side by '4'.
x = 3.1
Simplifying
x = 3.1
Step-by-step explanation:
This is a 2x2 identity matrix:
True
Or
False
Answer:
i think it is false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
An identity matrix has a 1 in each position of the main diagonal (diagonal from upper left to lower right) and zeros elsewhere. This matrix has the 1s and 0s in the wrong places to be an identity matrix.
This is what a 2x2 identity matrix looks like:
[tex] \begin{bmatrix} 1 & 0\\ 0 & 1\end{bmatrix} [/tex]
Please help
An isosceles triangle is shown. Which two angles must be congruent?
Answer:
C. Angle I and Angle H
Step-by-step explanation:
The congruncy lines on either side of the triangle show that.
An isosceles triangle has two congruent angles.
The two angles that must be congruent are: [tex]\mathbf{\angle I \cong \angle H}[/tex]
From the figure, we observe that side lengths HJ and HI are congruent.
The above highlight means that: the angles at the other points of HJ and HI.
The common point of HJ and HI is H, while the other points are J and I
So, the angles at J and I are congruent.
Hence, the correct option is (c)
Read more about isosceles angles at:
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You come from a large, dysfunctional family. You learn of this year’s upcoming reunion, and dread the very thought of being around those people for any length of time. However, you’ve been intrigued by your introductory statistics course, and decide you will have some fun with the reunion by using it as an opportunity to study your family. As a preliminary project, you want to keep track of how many times each family member verbally assaults another person throughout the first 24 hours.
After 24 hours, you review your notes:
Family Member # Verbal Assaults
Stew (Dad) 5
Marge (Mom) 7
Betsy 18
Fred 11
Gracie 4
Jorge 10
Kim 5
Ferdinand 15
Hal 6
You 19
Find the mean, median, and mode of your distribution:
1. Mean
2. Median
3. Mode
4. Which measure of central tendency do you think is most appropriate for this dataser? Why?
5. What is the range of your dataset? Show how you figured it out.
6. Define, as specifically as necessary, the population in which you are interested for this research. In other words, how do you decide whether a person would be appropriate to include in your study?
7-9. Find the standard deviation for the data in the table on the first page. Showing your work is how you earn points for this part
10. What is the standard deviation of your dataset?
Answer:
Explained below.
Step-by-step explanation:
The data provided is for the number of times each family member verbally assaults another person throughout the first 24 hours.
Use Minitab to compute the descriptive statistics.
Go to Stat → Basic Statistics → Display Basic Statistics
A dialog box will open.
Select the variable.
Select 'Statistics'.
Another dialog box will open.
Select the statistics required.
Press OK.
Select "Graphs'.
Select Histogram.
Press OK
The output is attached below.
(1)
The mean of the data is, Mean = 10.
(2)
The median of the data is, Median = 8.50.
(3)
The mode of the data is, Mode = 5.
(4)
The inequality statement for the mean, median and mode is:
Mean > Median > Mode
A distribution is known as to be skewed to the right, or positively skewed, when maximum of the data are collected on the left of the histogram of the distribution.
Also if the Mean > Median > Mode then the distribution is skewed to the right.
For a skewed distribution the best of central tendency is the median.
So, the measure of central tendency that is most appropriate for this dataset is, Median = 8.50.
(5)
The range of the data set is:
Range = Maximum - Minimum
= 19 - 4
= 15
Thus, the range is 15.
(6)
The population of interest is the number of times the family members verbally assaults another person throughout the first 24 hours.
(7)
Consider the Minitab output.
The standard deviation of the data set is, SD = 5.60.
Help APSP!!!!!!!!!!!!!
Answer:
d
Step-by-step explanation:
Answer
its d
Step-by-step explanation:
Write an equation of the line passing through the point (8,-5) that is parallel to the line 2x – 6y=-3.
y = mx + b
Answer:
y=[tex]\frac{1}{3}\\[/tex]x - [tex]\frac{23}{3}[/tex]
Step-by-step explanation:
Ist put the first equation in y=mx+b form
2x-6y=-3
subtract 2x on both sides
2x-6y=-3
-2x =-2x
-6y=-2x-3
then divide both sides by -6
-6y=-2x-3
-6
that gives y=[tex]\frac{1}{3}[/tex]x+[tex]\frac{1}{2}[/tex] for the original equation
Then plug in the point and slope in y=mx+b
Use the same slope since the lines are parallel
(-5)=([tex]\frac{1}{3}[/tex])(8)+b
-5=[tex]\frac{8}{3}[/tex]+b
then subtract 8/3 on both sides and that gives
-23/3 = b
then you can make the new equation using -23/3 for you b and 1/3 for your slop m
The weights of children in the Egyptian village of Nahya were recorded. Here are the mean weights of the 170 children in that village: Age(months) 1 2 3 4 5 6 7 8 9 10 11 12 Weight (kg) 4.3 5.1 5.7 6.3 6.8 7.1 7.2 7.2 7.2 7.2 7.5 7.8 a. Make a scatter plot of mean weight against age. b. Is there a positive or negative association between the two variables
Answer:
Kindly check explanation and attached picture
Step-by-step explanation:
Given the data:
Age(months) : 1 2 3 4 5 6 7 8 9 10 11 12
Weight (kg) : 4.3 5.1 5.7 6.3 6.8 7.1 7.2 7.2 7.2 7.2 7.5 7.8
a. Make a scatter plot of mean weight against age.
Scatter plot of mean weight against age can be found in the attached picture
b. Is there a positive or negative association between the two variables
There is a positive association between the weight and age variable ; as weight increases as age increases. Also the slope of the best fit line is positive
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
a) Simplify the expression and explain each step. (2 points)
4(3x+2)−2
b) Factor the expression completely. (1 point)
20b−16
bbaxjs ,hjghlgthjgthjnrgtirtmjogrthinlgtrknhgtrhgtlkjbvgthjbmhjvtg
For f(x) = −2x + 12, find f(x) when x = −3.
Answer:
f(-3)= 18
Step-by-step explanation:
step 1: sub -3 in the equation f(x).
f(x)= -2x+12
f(-3)= -2×-3+12
step2: simplify to solve for f(-3).
=6+12
=18
Can you help me with this?
Answer:
I need some more context
Step-by-step explanation:
Evaluate the expression for x = 5, y = 3, and z = 14.
5x−6y+20z4yz
Answer:
5(5)-6(3)+20(14)4(3)(14)
25-18+47040
7+47040= 47047
Answer:
4
Step-by-step explanation:
because on my k12 school say so so ya
solve the system of equations
y=x-2
x+y=10
Answer:
Step-by-step explanation:
x + x - 2 = 10
2x - 2 = 10
2x = 12
x = 6
y = 6 -2
y = 4
(6,4)
What is the circumference of the following circle?
4 cm
cm
Answer:circumference=
=2×3.14×4
=25 .12
=circumference of the above circle is 25.12 sq.cm.
Step-by-step explanation:
Answer: 12.56
Step-by-step explanation:
I answered this on Khan Academy and it is 12.56
The sum of 2 numbers is -47. 1 number is 15 more than the other. Find the number.
On a sunny day, a streetlight that is 9 m
high casts a shadow that is 6 m long. At the
same time, a fence post casts a shadow that
is 2 m long. How tall is the fence post?
The fence post is 3m tall
Set up proportion 9/6 =2/x
You get
18=6x
Divide by 6
3=x
Boom
If this helped please mark branliest
In which situations are translations useful for transformations? Reflections? Rotations?
Translations are useful when shifting the points of an image (select) ,
reflections are useful when shifting the points of an image (select) , and
rotations are useful when shifting the points of an image (select)
Answer:
Translations are useful when shifting the points of an image: along the same direction and length
Reflections are useful when shifting the points of an image: across a line
Rotations are useful when shifting the points of an image: around a point
(im doing the test rn)
what is the rate of change for the liner relationship modeled in the table?
i'm sorry wheres the picture?
CHECK PHOTO Intercepts of the graph BE SURE TO BE CORRECT PLEASE no work needed
Answer:
y= (0, .7)
x= (-1.2, 0)
Step-by-step explanation:
r u taking a test?
If k-8= 0, what property justifies k = 8?
Answer:
5Etxxug
Step-by-step explanation:
64d64s585i is a solution of the linear
What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?
Answer:
96Step-by-step explanation:
Put x = 5 to the expression 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)
4(5 - 2)(5 + 3) + 7(5 - 2)(5 - 5) - 6(5 - 3)(5 - 5)
= 4(3)(8) + 7(3)(0) - 6(2)(0) = 96 + 0 - 0 = 96
Which of the following polynomial functions is graphed below?
A. f(x) = (x - 5)(x - 1)^2(x - 1)
B. f(x) = (x - 4)(x - 2)^2(x - 3)
C. f(x) = (x + 5)(x + 1)^2(x - 1)
D. f(x) = (x+4)(x-2)^2(x+3)
Answer:
correct answer is D
Step-by-step explanation:
just did it on apex
The polynomial functions is graphed below is f(x) = (x+4)(x-2)²(x+3).
What is a Polynomial Function ?A polynomial function is a function in an equation that contains only positive integer exponents or powers of a variable, such as the quadratic equation, cubic equation.
It is given that for the given graph plotted in the image , a correct polynomial function has to be determined .
When all the graphs are plotted for all the equations given in the options.
It can be seen that the equation in The Option D satisfies the image.
f(x) = (x+4)(x-2)²(x+3)
The image of the graph for the equation is attached.
To know more about Polynomial Function
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SOMEONE PLEASE PLEASE HELP!!!!
Answer:
49[tex]\sqrt{21}[/tex]
Step-by-step explanation:
You multiply the two sevens to get the 49, and the square root of three has to be multiplied as well
Answer: 49 √3 or 84.87049
Step-by-step explanation:
Before the 1936 US presidential election, a popular poll predicted that Alfred Landon would comfortably win against Franklin D. Roosevelt. The poll randomly sampled people from sources like telephone and car registration records, but the country was in an economic crisis, so many voters without those luxuries were not included in the poll. Voters with lower incomes favored Roosevelt, who ultimately won with 62%, percent of the vote—one of the largest margins of victory ever in a US presidential election. Which type of bias does this scenario best describe?
a. Bias from undercoverage
b. Bias from using voluntary response
c. Response bias
d. Nonresponse bias
Answer:
A
Step-by-step explanation:
Got it right
Help pls it’s urgent
Answer:
d. -2
Step-by-step explanation:
they're telling you those lines are parallel there are specific knowns about the angles
since it's urgent I won't go into it, but PLS look it up it's super simple and makes sense
nonetheless this means angle 1 and angle 5 are the same value so we can set them equal
3x + 24 = 7x + 32
substract 32 from both sides
3x - 8 = 7x
substract 3x from both sides
-8 = 4x
divide 4 from both sides
-2 = x
That was no help what is it
Answer:
I am confused in many ways
(2y -2) divided by x for x=2 and y=5
Answer:
= 4
Step-by-step explanation:
(2y-2)/x
Insert 2 and 5 in their respective places:
(2(5)-2)/2
Multiply from left to right:
(10-2)/2
Subtract from left to right:
8/2
Divide and simplify:
= 4
A coral reef grows 0.14 m every week. How much does it grow in 14 weeks? Write your answer in millimeters.
Answer:
0.14*14= 1.96
Step-by-step explanation:
Must multiply 0.14 times 14 for the answer.
What is the standard form of 3.457
Answer:
3.457 is already in standard form.
Step-by-step explanation:
12% of 72 is what number
Answer:
8.64
Step-by-step explanation:
8.64
[tex]12\;percent\;of\;72=8.64[/tex]
Define cross-multiplication property
Answer: Not to be confused with Cross product.
In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.
The method is also occasionally known as the "cross your heart" method because a heart can be drawn to remember which things to multiply together and the lines resemble a heart outline.
nine more than the product of a number and 6 is 5
Answer:
-2/3
Step-by-step explanation:
9+6x=5
6x=-4
x=-2/3