Answer:
Slope = 2
Step-by-step explanation:
Find the slope by using the slope equation:
[tex]\frac{y^2 - y^1}{x^2 - x^1}[/tex]
Plug in the numbers to the slope equation:
[tex]\frac{8 - (-8)}{2 - (-6)}[/tex]
Which is equal to:
[tex]\frac{16}{8}[/tex]
Which is simplified to:
2.
Fifteen students were registered in Section 1 and 15 students were registered in Section 2 of a research course. They took the same midterm exam, and their exam scores were distributed as follows: Section 1: 89, 56, 45, 78, 98, 45, 55, 77, 88, 99, 98, 97, 54, 34, 94 Section 2: 77, 88, 87, 67, 98, 87, 55, 77, 45, 44, 88, 99, 69, 67, 98 a. Calculate the mode, median, mean, range, variance, and standard deviation for both sections. Include your SPSS output below. (10 pts) b. Which section did better overall on the exam? Fully justify your answer using the concepts in W&G Chapter 3. (3 pts)
Answer:
a)
For Section 1 -
Mode : 45 , 98
Median - 78
Mean - 73.8
Range - 65
Variance - 537.03
Standard Deviation - 23.17
For Section 2 -
Mode : 67 , 77 , 87 , 88 , 98
Median - 77
Mean - 76.4
Range - 55
Variance - 333.11
Standard Deviation - 18.25
b)
Section 2 did better overall on the exam
Step-by-step explanation:
As given,
Section 1: 89, 56, 45, 78, 98, 45, 55, 77, 88, 99, 98, 97, 54, 34, 94
Section 2: 77, 88, 87, 67, 98, 87, 55, 77, 45, 44, 88, 99, 69, 67, 98
a)
For Section 1 -
Mode : 45 , 98
Median - 78
Mean - 73.8
Range - 65
Variance - 537.03
Standard Deviation - 23.17
For Section 2 -
Mode : 67 , 77 , 87 , 88 , 98
Median - 77
Mean - 76.4
Range - 55
Variance - 333.11
Standard Deviation - 18.25
b)
As,
Standard deviation of section 2 < Standard deviation of section 1
⇒ Students of Section 2 are more consistent.
Also,
mean of Section 2 > mean of Section 1,
⇒average score of Section 2 student > Average score of Section 1 student.
∴ we get
Section 2 did better overall on the exam.
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Answer:
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Write an equation of the line in slope-intercept form.
2
у
2
(2, 2)
-2
2
4 x
(0, - 2)
2
y =
l
What is the place value of 6
Answer:
6 is in ten place and its place value is 60,
Determine whether the graph represents a function . If it does represent a function , give its domain and range.
#18,20,24,30
PlEASE GUYS HELP ME OUT!!!!
Answer:
A function is a relationship that maps elements from a set (the domain) into elements from another set (the range)
Such that each element in the domain can be mapped into only one element from the range.
Let's see graphs 18, 20,24 and 30.
Remember that the axis that represents the domain is the horizontal one (usually represented with x), and the vertical axis represents the range (usually represented with y)
18) Here we can see that the point x = 1 his mapped into two different values of y.
we have the pair (1, 2) and the pair (1, -3)
And something similar happens for x = 2.
Then we can conclude that this is not a function.
20) Here we have a linear relationship.
Linear relationships are almost always functions, the only case when these are not functions is when the linear equation is something like x = a.
Linear equations can be written as:
y = a*x + b
So x can be any value, and thus y also can be any value.
Then the domain is the set of all real numbers, and the range is the set of all real numbers.
24) Here we have a quadratic function whose arms go down.
This is a function, now let's see the domain and range.
Quadratic functions are written as:
y = a*x^2 + b*x + c
There is no value of x can cause some problem in this equation, then this function works for all values of x, then the domain is the set of all real numbers.
Now, let's look at the graph.
We can see that the function goes up, reaches a maximum, and then goes down again.
Then the range will be the set of all the values smaller than the maximum we can see in the graph, this is:
y ∈ (-∞, 15]
or simply:
y ≤ 15.
30) Here again, we can see that for x = 0 there are two different values of y.
the same happens for x = -1, x = -2, and a lot of other values.
Then this is not a function, because it is mapping values of the domain into different values of the range.
Math 1-2 High School please help due in two minutes
The sum of the interior angle of a rhombus is 360° and each angle is 90°
Help pls sue before midnight
Answer:
I believes the answer is B
Step-by-step explanation:
I said that because for it to be linear the branch needs to add up by the same number to give for the next two year therefor when we look at the picture the branch measure are not stable so the answer is exponential.
Hope that it help!
Write the ratio ( 4/7 1/9 ) in the simplest form
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
The mass of a basket containing three balls was 3.64 kg. The mass of the same basket and five balls is 5.26 kg. Find the mass of the empty basket in kilograms?
Answer:
1.21
Step-by-step explanation:
5.26 - 3.64 = 1.62
1.62 ÷ 2 because the difference between 3 and 5 is two, the mass of one apple is 0.81 because 1.62 ÷ 2 = 0.81
so now we know one apple weights 0.81
if we multiply that 0.81 x 3 it will equal 2.43, so now the three apples alone wiegh 2.43...so now we look at the total weight of the whole basket with three apples, which is 3.64,
3.64 - the weigth of the apples (2.43)
3.64 - 2.43 = 1.21
the basket alone wieghts 1.21
Sorry if that was too long just want you to understand it
a population consists of the five measurement 2,3,6,5 and 7. what is the mean?
Answer:
4.6
Step-by-step explanation:
what is 99+44+44+44+$4+44+$4+44+44+44 = and my zodiac is pisces what about your guys zodiac
Answer:
415
Step-by-step explanation:
Mine is Capricorn
Answer:
I'm a September Libra
Probability is a measure of how likely an event is to occur. Choose the probability that best matches each of the following statements: (a) This event is impossible: [ Select ] (b) This event will occur more often than not, but is not extremely likely: [ Select ] (c) This event is extremely unlikely, but it will occur once in a while in a long sequence of trials: [ Select ] (d) This event will occur for sure: [ Select ]
Answer:
(a) 0
(b) 0.6
(c) 0.01
(d) 1
Step-by-step explanation:
Given
Probabilities: 0, 0.01, 0.3, 0.6, 0.99, and 1 ---> Missing information
Required
Match the probabilities with appropriate values
(a) Impossible:
An impossible event will always have a probability of 0
(b) Occurrence is more often than not, but not extremely likely:
An event that will occur more often than not will have a probability greater than 0.5 but less than 1
However, if the likelihood is not extremely likely, the probability will be closer to 0.5 and 1.
The probability that matches this description is 0.6
(c) Occurrence is extremely unlikely, but will occur once in a while
An event that is extremely unlikely will have a value greater than 0 and the value will be very close to 0.
The probability that matches this description is 0.01
(d) A certain event:
A certain event has a probability of 1
Maureen filled a bucket with 5/8 of a gallon of water. 1/4 gallon remained how much leaked
Answer:
3/8 leaked,
Step-by-step explanation:
5/8 - 1/4 = 3/8.
h(t)= 50- t/5
h(35)=
Answer:
h(35) = 43
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
h(t) = 50 - t/5
h(35) is t = 35
Step 2: Evaluate
Substitute in t: h(35) = 50 - 35/5Divide: h(35) = 50 - 7Subtract: h(35) = 43Cindy works 4c hours each day from Monday to Friday. She works 7c on Saturday. Cindy does not work on Sunday. Find the number of hours Cindy works in one week in terms of c
8.652
10)
1.2
Help please
Answer:
1.921
Step-by-step explanation:
Determine the solution to the system of equations
{8x-3y=-11
-4x+2y=6}
And write your solution as an ordered pair.
Help!!
Answer:
no sé pero no se y no se y más no se
In the figure, △XYZ ≅ △MNL.
Find m∠Z.
Answer:
m∠Z= 23°
Step-by-step explanation:
if they're equal, as are their angles
124°+33°= 157°
180°-157°= 23°
m∠Z = 23°
The triangles are congruent. Therefore,
ΔXYZ ≅ ΔMNL
∠Y ≅ ∠N
Therefore,
∠Y = 124°
Sum of angles in a triangle = 180°
33 + 124 + m∠Z = 180°
157 + m∠Z = 180°
m∠Z = 180 - 157
m∠Z = 23°
Read more here: https://brainly.com/question/22834723?referrer=searchResults
3. The 7th grade students took a survey about which pizza company the students
preferred: Papa John's, Dominos or Pizza Hut. There are 64 students in the 7th
grade.
If 5 out of 8 students chose Papa John's, how many students chose Papa
John's? How many did not?
Answer:
40 students choose Papa John's, and 24 did not
Step-by-step explanation:
This question can be solved by proportions, using rule of three.
For each 8 students, 5 chose Papa John's. Out of 64, how many choose?
5 - 8
x - 64
Applying cross multiplication
[tex]8x = 5*64[/tex]
Simplifying by 8
[tex]x = 5*8 = 40[/tex]
40 students choose Papa John's.
In all, there are 64 students, so 64 - 40 = 24 did not
C. How long is 10% of a 24-hour day?
Answer:
2.4 hours
Step-by-step explanation:
Answer:
10% OF a 24 hour day is 2.4 hours
Step-by-step explanation:
10x24/100= 2.4
please tell fast plzzzzzz
Answer:
x=90-44=46is your answer
Answer:
46 degrees (complimentary angles add up to 90 degrees)
Step-by-step explanation:
90 - 44 = 46
Find the cosine of <G
Answer:
cos G = 3/5
Step-by-step explanation:
cos = adjacent sides/ hypotenuse
cos G = FG/ GE
cos G = 3/5
PLEASE HELP!!!
Find the common difference for the arithmetic sequence. -55, -50, -45, -40.....
Answer:
5
Step-by-step explanation:
Just grap any two consecutive terms in the sequence. lets say -55 and -50
-50-(-55) = 5
you can check this by picking two other terms
Using traditional methods, it takes 8.1 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique with 23 students and observed that they had a mean of 8.2 hours with a standard deviation of 1.2. A level of significance of 0.1 will be used to determine if the technique performs differently than the traditional method. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.
Answer:
The value of the test statistic is 0.4.
Step-by-step explanation:
The value of the test statistic is given by:
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Using traditional methods, it takes 8.1 hours to receive a basic flying license.
This means that [tex]\mu = 8.1[/tex]
A researcher used the technique with 23 students and observed that they had a mean of 8.2 hours with a standard deviation of 1.2.
This means that [tex]n = 23, X = 8.2, \sigma = 1.2[/tex]
Find the value of the test statistic.
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \frac{8.2 - 8.1}{\frac{1.2}{\sqrt{23}}}[/tex]
[tex]t = 0.4[/tex]
The value of the test statistic is 0.4.
A rectangle has area of 150 in2. The ratio of the length to the width is 3:2.
Find the length and width of the rectangle. (This diagram is not to scale),
The diagram is just an rectangle, there are no measurements of what the base or width are
Answer:
length = 15 in
width = 10 in
Step-by-step explanation:
let '3x' = length
let '2x' = width
A = l x w
150 = 3x(2x)
150 = 6x²
x² = 150/6
x² = 25
x = [tex]\sqrt{25}[/tex]
x = 5
Length = 3(5) = 15 in
Width = 2(5) = 10 in
Identify the digit with the given place value. 0.27845 hundredths
Answer:
7.
Step-by-step explanation:
Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.
For example, in the number 0.27845;
The place value of 0 is units.The place value of 2 is tenths.The place value of 7 is hundredths. The place value of 8 is thousandths. The place value of 4 is ten thousandths. The place value of 5 is hundred thousandths.Therefore, given the number 0.27845.
The digit representing hundredths in 0.27845 is 7.
Question 1 of 5
Which three side lengths best describe the triangle in the diagram?
O INCHES
1
2
3
4
5
OM 1
2
3
4
5
6
7
8
9
10 11 12 13
O INCHES
5
9 10 11 12 13
w
8
4
7
A
6
5
3
4
3
.
-N
2
O
0 i 2
1
O INCHES
w
The three side lengths best describe the triangle in the diagram are A. 5 cm, 12 cm, and 13 cm
What is a triangle?A polygon with three sides and angles is called a triangle.
Given is a figure, with the rulers attached to each side, we need to see what are the measurements of the sides of the triangle,
The first side is showing a measure of 13
The second side is showing a measure of 12
And, the third one is showing a measure of 5
This is a right triangle because the measurements are Pythagorean triplets.
Hence, the three side lengths best describe the triangle in the diagram are A. 5 cm, 12 cm, and 13 cm
Learn more about triangles, click;
https://brainly.com/question/2773823
#SPJ7
find what y equals please (geometry) :)
b. A 50A by 35ft residential
garden produces 1975
servings of food over the
course of a year. How many
servings of food per square
foot is this?
Answer:
1.13 food per square feet
Step-by-step explanation:
Given
Dimension: 50ft by 35ft
Servings = 1975
Required
Determine the amount per servings
First, we calculate the area.
[tex]Area = 50ft * 35ft[/tex]
[tex]Area = 1750ft^2[/tex]
Next, we calculate the amount per square foot.
This is:
[tex]Rate = \frac{Serivings}{Area}[/tex]
This gives;
[tex]Rate = \frac{1975}{1750}[/tex]
[tex]Rate = 1.13[/tex]
Select the correct answer.
Consider these functions:
f(x)= 1/3x2 + 4
g(x)=9x – 12
What is the value of g(f(x))?
There are step by steps explaination in the picture