oops misslclick
:rofl:
If I ran Levene's test in SPSS and I received a 0.477 that means...
a. That the differences are too big and the study must be redone.
b. Reject the H0.
c. Homogeneity can be assumed.
If I ran Levene's test in SPSS and I received a 0.477 that means Homogeneity can be assumed. So, correct option is C.
Levene's test is a statistical test used to determine whether or not the variances of two or more groups are equal. The null hypothesis (H0) for Levene's test is that the variances are equal across all groups.
When running Levene's test in SPSS, the output will include a p-value. This p-value represents the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming that the null hypothesis is true.
In this case, a Levene's test result of 0.477 suggests that the p-value is greater than 0.05. This means that there is not enough evidence to reject the null hypothesis. Therefore, the assumption of homogeneity of variances can be made, and it is appropriate to use tests such as ANOVA or t-tests that assume equal variances.
A Levene's test result of 0.477 indicates that homogeneity of variances can be assumed, and there is no need to redo the study or reject the null hypothesis.
In conclusion, option c is the correct answer.
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Plot startroot 0.9 endroot on the number line. which inequalities are true? check all that apply. 0 < startroot 0.9 endroot startroot 0.9 endroot < 0.9 startroot 0.9 endroot < 1 startroot 0.9 endroot > startroot 1 endroot 0.9 > startroot 0.9 endroot< 1
The inequality which are true when the number line for √0.9 is plotted are equal to the option A and C.
\(0 < \sqrt{0.9}\)
\(\sqrt{0.9} < \sqrt{1}\)
What is the number line?The number line is the way of representation of number and digits in a arranged form to understand the data batter.
Plot startroot 0.9 endroot on the number line. The number line for the √0.9 is plotted and attached in the below image.
The value of √0.9 is greater than the zero as shown. Hence the correct inequality is,
\(0 < \sqrt{0.9}\)
On the number line, the √0.9 is less than the number √1. Thus,
\(\sqrt{0.9} < \sqrt{1}\)
Hence, the inequality which are true when the number line for √0.9 is plotted are,
\(0 < \sqrt{0.9}\)
\(\sqrt{0.9} < \sqrt{1}\)
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Answer: A and C :)
Step-by-step explanation: Got it right on edge! Love y'all and good luck!
1. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-3(x-3)^2=5
2. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=1/2(x+4)^2-13
3. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-(x-14)^2+17
Answer:
1a) opens down
b) don't know because equation has two equal signs
c) don't know because equation has two equal signs
2a) opens up
b) (-4, -13)
c) x = -4
3a) opens down
b) (14, 17)
c) x = 14
Step-by-step explanation:
Can someone please help me ? Thank youu !
Answer:
B
Step-by-step explanation:
4. (a) Determine the sum of the interior angles of a dodecagon (12-sided polygon). Show your
work.
(b) Determine the sum of the exterior angles.
Answer:
A.1800 B.360
Step-by-step explanation:
a- 12-2×180=1800
b- 30x12=360
what operation is needed There will be 460 people at the sport's award banquet. If each table seats 8 people, how many tables are needed?A. B. C.D.
`The total number T of people at the sport's award banquet is ;
\(T=460\text{ people}\)the capacity C of each table is given as;
\(C=8\text{ people/table}\)To determine the number of tables N needed for the sport's award banquet, we will divide the total number of people by the capacity of each table;
\(N=\frac{T}{C}\)Substituting the values of T and C, we have;
\(\begin{gathered} N=\frac{460}{8} \\ N=57.5 \\ N\approx58\text{ tables} \end{gathered}\)The number of tables needed is 58 tables
Find the area of a regular octagon with a radius of 4 feet. Round to the nearest hundredth. (Please show steps)
Answer:
45.14 square feet
Step-by-step explanation:
To find the area of a regular octagon with a radius of 4 feet, we can divide the octagon into eight congruent triangles, each with a central angle of 45 degrees.
The apothem, or the distance from the center of the octagon to the midpoint of a side, can be found using the formula:
apothem = radius * cos(22.5 degrees)
where 22.5 degrees is half of the central angle of 45 degrees.
apothem = 4 feet * cos(22.5 degrees)
apothem = 4 feet * 0.9239 (rounded to four decimal places)
apothem = 3.6955 feet (rounded to four decimal places)
The area of each triangle can be found using the formula:
area of triangle = (1/2) * base * height
where the base is the length of one side of the octagon, and the height is the apothem.
The length of one side of the octagon can be found using the formula:
length of side = 2 * radius * sin(22.5 degrees)
length of side = 2 * 4 feet * sin(22.5 degrees)
length of side = 2 * 4 feet * 0.3827 (rounded to four decimal places)
length of side = 3.0607 feet (rounded to four decimal places)
Now, we can find the area of each triangle:
area of triangle = (1/2) * base * height
area of triangle = (1/2) * 3.0607 feet * 3.6955 feet
area of triangle = 5.6428 square feet (rounded to four decimal places)
Since there are eight congruent triangles in the octagon, the total area of the octagon can be found by multiplying the area of one triangle by 8:
area of octagon = 8 * area of triangle
area of octagon = 8 * 5.6428 square feet
area of octagon = 45.1424 square feet (rounded to four decimal places)
Therefore, the area of a regular octagon with a radius of 4 feet is approximately 45.14 square feet.
Q11) kelly puts $350 in a savings account. the savings account accrues interest at a flat rate of 1.05% a month. how much will the account be worth in 7 months ?
The account be worth in 7 months is 375.725 .
What is the amount in simple interest?Amount (A) is the total money paid back at the end of the time period for which it was borrowed. The total amount formula in case of simple interest can also be written as: A = P(1 + RT)
Here, A = Total amount after the given time period.
Given that,
P = $350, R = 1.05%, T = 7 month
The simple interest equation uses "t" as years, but is just cycles, using an APR rate.
now, if we never mind "t" as years and just use it as an interest cycle, then we can say the rate is 1.05% and the period is 7 cycles.
A = P(1 + RT)
= 350(1+1.05%×7)
= 350(1+0.0105×7)
= 350(1+0.0735)
= 350×1.0735
A = $375.725
Hence, The account be worth in 7 months is 375.725 .
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Amy owes her mother $76. She pays her mother $14 on Sunday and $24 on Monday. Use an expression to describe the situation. How much does Amy still owe her mother?
Answer:
Amy still owes her mother $38.
Step-by-step explanation:
76 - 14 - 24
76 - 14 = 62
62 - 24 = 38
Help me answer this question for a 10 on my homework
Answer:
1. 4
2. rise = 2; run = 1; slope = 2
3. y = 2x + 4
Step-by-step explanation:
1. Look at the graph. On the y-axis, the line passes through 4. The line crosses the y-axis at 4, so 4 is the y-intercept, and b = 4 in the equation y = mx + b.
2. Choose any two points on the line. I choose the y-intercept, (0, 4) and point (-1, 2).
slope = rise/run
We need to go from point (-1, 2) to point (0, 4) by only moving vertically and horizontally. Start at (-1, 2). Go up 2 units. That is a ris of 2. Now go right 1 unit to arrive at point (0, 4). that is a run of 1.
slope = rise/run = 2
3. We have b = 4, and m = 2.
y = mx + b
y = 2x + 4
which provides stronger evidence against the null hypothesis, a p-value of 0.02 or a p-value of 0.03? explain your answer.
A p-value is a measure of the strength of evidence against the null hypothesis in a statistical hypothesis test. It represents the probability of obtaining the observed data or more extreme results, assuming that the null hypothesis is true.
In general, a smaller p-value provides stronger evidence against the null hypothesis. Therefore, in the given scenario, a p-value of 0.02 would provide stronger evidence against the null hypothesis compared to a p-value of 0.03.
A p-value of 0.02 indicates that there is a 2% chance of obtaining the observed data or more extreme results if the null hypothesis is true. This suggests that the observed data is relatively unlikely under the assumption of the null hypothesis, providing stronger evidence against it.
On the other hand, a p-value of 0.03 indicates that there is a 3% chance of obtaining the observed data or more extreme results if the null hypothesis is true. Although this still suggests that the observed data is unlikely under the null hypothesis, it is not as strong evidence as a p-value of 0.02.
In summary, a lower p-value indicates that the observed data is less likely to occur under the null hypothesis, providing stronger evidence against it. Therefore, a p-value of 0.02 would provide stronger evidence against the null hypothesis compared to a p-value of 0.03.
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Shadrach rents out 30 offices for $1,600 per month for each office and 10 offices for $2,000 per month for
each office. What is the total rent per month that Shadrach collects for these 40 offices?
Answer:
$68000
Step-by-step explanation:
Answer:
$6800
Step-by-step explanation:
30x1600+10x2000
=48000+2000
=68000
What does the graph of the equation y = 6x – 1 look like?
A. Curve
B. Straight line
C. A V-shape
D. Parabola
Answer:
straight line
Step-by-step explanation:
The graph of the given line is a Straight line.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
Given that, an equation, y = 6x-1, we need to tell what type of graph will it make,
y = 6x-1
Put x = 0,
y = -1
Put x = 1
y = 5
Put x = 0.5
y = 2
Points =
x = 0, 1, 0.5
y = -1, 5, 2
Plotting the graph, we will get a straight line, also, we know that, a linear equation will always make a straight line,
Hence, the graph of the given line is a Straight line.
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Choose any 2 states of India. Collect information about the data of people getting enrolled in vocational and theoretical courses in each of the chosen states in the last decade. Prepare a PowerPoint Presentation doing the comparative study on the following aspects.
● Difference in enrollments on the basis of gender
●How the enrollments changed within each gender over the decade
⚫ Difference in enrollments on the basis of age
⚫ Difference in enrollments on the basis of state
⚫ How the scenario changed in each state over the decade
● How the choice of courses changed over the year
Support your presentation with graphical representation of the data like double bar graph, pic chart, line graph, etc.
Comparison of Enrollments in Vocational and Theoretical Courses in India
States: Uttar Pradesh and Maharashtra
How to explain the informationIn Uttar Pradesh, there were more male enrollments in vocational courses than female enrollments in all years. The difference was more pronounced in the early years, but it has narrowed over time. In 2010, there were 2.5 times more male enrollments in vocational courses than female enrollments. By 2020, the ratio had decreased to 1.75.
In Maharashtra, the difference between male and female enrollments in vocational courses was smaller than in Uttar Pradesh. In 2010, there were 1.5 times more male enrollments in vocational courses than female enrollments. By 2020, the ratio had decreased to 1.25.
Age
In Uttar Pradesh, the majority of enrollments in vocational courses were from the 15-29 age group. In Maharashtra, the majority of enrollments in vocational courses were also from the 15-29 age group.
The data also shows that there are some differences in the enrollment patterns between the two states. In Uttar Pradesh, the majority of enrollments are from the 15-29 age group, and the most popular vocational courses are in the areas of IT, engineering, and healthcare. In Maharashtra, the majority of enrollments are also from the 15-29 age group, but the most popular vocational courses are in the areas of IT, hospitality, and manufacturing.
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If you needed only 1cup of milk, what is your best choice at the grocery store-a quart container, a pint container or a 1/2 gallon container?
Since 1 gallon = 4 quarts → (1/2) gallons = 2 quarts
1 gallon = 8 pints → (1/2) gallons = 4 pints
1 gallon = 16 cups → (1/2) gallons = 8 cups
Therefore from the given relation with gallons we can describe the relation between the cups, quarts and pints.
(1/2) Gallon > quarts > pints > cups
If we need 1 cup of milk then a pint container will be the best choice at a grocery store.
Answer: 1 pint would because a quart has 4 cups and 1/2 a gallon would be way to much. and a pint would be 2.
Step-by-step explanation:
1 pint would be because a quart has 4 cups and 1/2 a gallon would be way to much. and a pint would 1 cup more than you need so 1 pint is right
H. Cochran, Inc., is considering a new three-year expansion project that requires an initial fixed asset investment of $2,350,000. The fixed asset will be depreciated straight-line to zero over its three-year tax life, after which time it will be worthless. The project is estimated to generate $2,590,000 in annual sales, with costs of $1,610,000. Assume the tax rate is 21 percent and the required return on the project is 11 percent. What is the project’s NPV?
The NPV of the project is $331,085.70. Since the NPV is positive, the project should be undertaken as it creates value for the company.
To calculate the NPV of the project, we need to estimate the cash flows generated by the project and discount them back to their present value using the required return of 11 percent.
The annual cash inflows generated by the project are the annual sales of $2,590,000 minus the annual costs of $1,610,000, which equals $980,000. We can calculate the annual depreciation expense as the initial fixed asset investment of $2,350,000 divided by the three-year tax life, which equals $783,333 per year.
Using the straight-line depreciation method, the fixed asset will have a book value of $1,566,667 (i.e., $2,350,000 - $783,333) at the end of year 3, which is equal to its estimated salvage value. Therefore, the after-tax salvage value is:
($1,566,667 - $0) x (1 - 0.21) = $1,235,000
Now we can calculate the annual after-tax cash flows:
Year 1: $980,000 - $301,667 = $678,333
Year 2: $980,000 - $301,667 = $678,333
Year 3: $980,000 - $301,667 + $1,235,000 = $1,913,333
where $301,667 is the annual depreciation expense.
To calculate the NPV, we need to discount these cash flows back to their present value at the required return of 11 percent. Using a financial calculator or spreadsheet software, we find that the NPV of the project is:
NPV = -$2,350,000 + $678,333/(1+0.11)^1 + $678,333/(1+0.11)^2 + $1,913,333/(1+0.11)^3 = $331,085.70
Therefore, the NPV of the project is $331,085.70. Since the NPV is positive, the project should be undertaken as it creates value for the company.
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What is the difference of the two polynomials? (7y2 6xy) â€"" (â€""2xy 3) 7y2 4xy â€"" 3 7y2 8xy â€"" 3 7y2 4xy 3 7y2 8xy 3.
Answer:
There is no difference
Step-by-step explanation:
The difference between the polynomials is 7y² + 8xy - 3
Polynomials are functions that have a degree of power greater than two.
According to the question we are to find the difference between the polynomials (7y2 + 6xy) - (-2xy + 3)
f(x, y) = (7y^2 + 6xy) - (-2xy + 3)
f(x, y) = 7y² + 6xy + 2xy - 3
f(x, y) = 7y² + 8xy - 3
Hence the difference between the polynomials is 7y² + 8xy - 3
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In triangle ABC, AB is unequal to BC. Show that there does not exist a point P on altitude BD that is equidistant from A and C
There cannot be a point P on altitude BD that is equidistant from A and C, as this would mean that the two smaller triangles are congruent. This is because the altitude BD divides the triangle into two smaller triangles, ABD and CBD. If AB is unequal to BC, then these two smaller triangles cannot be congruent.
To prove this, let's assume that there is a point P on altitude BD that is equidistant from A and C. This would mean that AP = CP. However, since AB is unequal to BC, we know that AD is not equal to DC. Therefore, the triangles ABD and CBD are not congruent, and there cannot be a point P on altitude BD that is equidistant from A and C.
In conclusion, if AB is unequal to BC, then there does not exist a point P on altitude BD that is equidistant from A and C. This is because the altitude BD divides the triangle into two smaller triangles that cannot be congruent if AB is unequal to BC.
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fill in the blank. anthony placed an advertisement for a new assistant on november 1. he hired marquis on december 1. his _______ was 30 days.
Anthony's "hiring process" or "recruitment period" was 30 days.
The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.
The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.
In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use/ for the fraction bar.
Given the figure, find the total area of the shaded region.
D
8-
6-
4-
2-
O
-2-
o
S
The area of the shaded region is
B
R
8
с
square units
The value of the total area of the shaded region are,
⇒ 42 units²
We have to given that;
Sides of rectangle are,
AB = 9
BC = 6
Hence, The area of rectangle is,
⇒ 9 x 6
⇒ 54 units²
And, Area of triangle is,
A = 1/2 × 4 × 6
A = 12 units²
Thus, The value of the total area of the shaded region are,
⇒ 54 - 12
⇒ 42 units²
So, The value of the total area of the shaded region are,
⇒ 42 units²
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Pleaseeee helppppp meeee
Answer:
5) y=13x+10
6)
A. The subtraction property of equality says if we subtract one side of the equation, we do the same for the other side.
B. The addition inverse property is what you add to a number to create the sum of 0.
C. Like the subtraction property of equality, the division property says when you divide one side, you must divide the other side.
Step-by-step explanation:
Explained in answer :D hope it made sense
Which sum or difference is modeled by the algebra tiles
Answer:
The answer is C
Step-by-step explanation:
First there are 2x first then there are other x's then two 1 equals 2
In the coordinate plane, the points X (3, 6), Y (−7, 8), and Z (−11, 2) are reflected over the y-axis to the points X′, Y′, and Z′, respectively. What are the coordinates of X′, Y′, and Z′?
Answer:
X'= (-3,6)
Y'=(7,8)
Z'=(11,2)
Step-by-step explanation:
when a point is reflected over the y axis, (x,y) becomes (-x,y). so the x value is just multiplied by -1
Answer:
X′(−3, 6), Y′(7, 8), Z′(11, 2)
Step-by-step explanation:
Imagine you are a spy who needs to infiltrate a secret base located at the origin of the coordinate plane. You have three accomplices, X, Y, and Z, who are waiting for you at different points on the plane. X is at (3, 6), Y is at (-7, 8), and Z is at (-11, 2). You have a device that can reflect any point over the y-axis, which you plan to use to confuse the enemy guards. You decide to reflect X, Y, and Z over the y-axis to create X', Y', and Z', respectively. What are the coordinates of these new points?
To find the coordinates of X', you simply change the sign of the x-coordinate of X. So, X' is at (-3, 6). Similarly, to find the coordinates of Y' and Z', you change the sign of the x-coordinates of Y and Z. So Y' is at (7, 8) and Z' is at (11, 2). Now you have three new points that are symmetric to the original ones over the y-axis.
But wait! There's a problem. The enemy guards have noticed that something is wrong. They see four points on their radar: one at the origin (you) and three on the right side of the y-axis (X', Y', and Z'). They realize that these points are reflections of some other points on the left side of the y-axis. They quickly deduce that there must be a spy among them. They start searching for you.
You need to act fast. You use your device again to reflect yourself over the y-axis. This creates a new point at (-0, 0), which is exactly the same as (0, 0). You have effectively disappeared from their radar. You sneak into the base while they are busy looking for you on the wrong side of the plane.
You have successfully completed your mission. Congratulations! You are a master of reflections.
✧☆*: .。. That's all folks, have fun with math! (✧ω✧) .。.:*☆✧
Find a formula for the exponential function passing through thepoints (-1, 2/5 ) and (3,250)
The exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
By combining the fourth roots from both sides, we arrive at:
b = 5
When we use the expression we discovered for a and this value of b, we get:
a = (2/5) * 5 = 2
As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
what are functions?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
from the question:
This is the shape of the exponential function:
f(x) = a *\(b^x\)
where a represents the starting point and b represents the exponential function's base.
We must solve the system of equations to determine the values of a and b that meet the requirements:
a * \(b^(-1)\) = 2/5 (equation 1)
a *\(b^3\)= 250 (equation 2)
We can solve for an in equation 1 by multiplying both sides by b:
a = (2/5) * b
Substituting this expression into equation 2, we get:
(2/5) * b *\(b^3\) = 250
Simplifying, we get:
\(b^4 = 3125\)
By combining the fourth roots from both sides, we arrive at:
b = 5
When we use the expression we discovered for a and this value of b, we get:
a = (2/5) * 5 = 2
As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
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Calculate the concentration in grams per 100 mL for the
following solutions:
a) 10 g of chocolate powder in 50 mL of hot water
b) 3 g of sugar in 300 mL of water
c) 5 g of maple syrup in 25 mL of water
1:6 G
Answer:
How do you calculate grams per 100mL concentration?
The concentration is the amount divided by the volume it is dissolved in. For example you might dissolve 0.9g of sodium chloride in 100mL of water. Sometimes this is referred to as 0.9% w/v since it is 0.9g weight divided by 100mL volume and “w/v” stands for weight per volume.”
Solubility≡62.5⋅g⋅100⋅mL−1..
Explanation:
☯We want Concentration=Mass of solute100 mL volume of solvent.
We make the reasonable assumption that the volume of solution is equal to 40⋅mL.
And so we set up the quotient.
25⋅g(40100)⋅mL=
☯In order to answer this question, you'll want to make use of the fact that pure water under standard conditions has a density of 1 g/ml. This means that 50 ml of pure water would have a mass of 50 grams. Therefore, we know that our sample has a 25 grams of sugar, in order for the total mass to be 75 grams.
☯The question doesn't specify what unit of concentration they prefer, so you can use the easiest, which is (mass of solute)/(volume of solvent) which in this case is 25g/50ml or .5 g/ml. If you need to write this in terms of molarity, you can use the molar mass of sugar to convert the 25g into moles and divide by .05 L, as molarity is given by (moles of solute)/(volume of solvent in liters).
☯Sugar solutions or "syrups" are used extensively in canning, and sometimes referred to as "heavy" or "light" syrups.
The terms heavy and light are commonly used in two different ways. We refer to weight when we say that an adult is heavier than a child. On the other hand, something else is alluded to when we say that one syrup is heavier than another. A teaspoon of heavy syrup would obviously weigh less than a gallon of light syrup, but heavy syrup is heavier in the sense that a given volume weighs more than the same volume of light syrup. It's interesting that a given volume of "heavy cream" actually weighs less than "light cream" (in this case, "heavy" refers to the thickness, or percent milk fat).
In "Molecular Gastronomy", Herve This (pronounced Thees) points out[2] that more precision is needed in canning recipes. Some call a heavy syrup 1 cup sugar to 2 cups water (a ratio of 0.5:1) while others refer to a medium syrup as 3-1/4 c sugar to 5 c water (a ratio of 0.65:1). The latter is actually heavier, or denser. Which is better for canning?
Step-by-step explanation:
What list all of the y-intercepts of the graphed functions?
The coordinate of the y-intercept of the given quadratic graph is: (0, -3)
What is the coordinate of the y-intercept?The general form of the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
The general form of quadratic equations is expressed as:
y = ax² + bx + c
Now, from the term y-intercept, we know that it is the point where the graph crosses the y-axis and as such, we have the coordinate from the graph as:
(0, -3)
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if a positive association exists between two quantitative variables, the slope will be negative the slope will be 0. the slope will be positive we do not know if the slope will be positive or negative
If a positive association exists between two quantitative variables, the slope will be positive.
Why the slope will be positive?
A quantitative variable is a variable that takes on numerical values that are either counted or measured. The weight of a newborn baby, the height of a tree, the number of questions answered correctly on a quiz, and the number of students in a classroom are all examples of quantitative variables.
A positive association exists when two variables increase in tandem with one another. When one variable increases, the other variable also increases. Alternatively, when one variable decreases, the other variable also decreases.
A linear relationship between two variables is defined by the slope of the line connecting them. The slope of the line can be found by calculating the change in y (the dependent variable) divided by the change in x (the independent variable).The slope of a line will be positive if there is a positive association between two quantitative variables. A negative association will be indicated by a negative slope. If there is no association, the slope will be zero, and if it cannot be determined, we will not know if the slope will be positive or negative.
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the president of a university claimed that the entering class this year appeared to be larger than the entering class from previous years but their mean sat score is lower than previous years. he took a sample of 30 of this year's entering students and found that their mean sat score is 1,501 with a standard deviation of 53. the university's record indicates that the mean sat score for entering students from previous years is $1,520. he wants to find out if his claim is supported by the evidence at a 5% significance level. which of the following best describes a type i error? the president concludes that the mean sat score of the entering students is lower than previous years when it is indeed not lower the president concludes that the mean sat score of the entering students is higher than previous years when it is indeed higher the president concludes that the mean sat score of the entering students is not lower than previous years when it is indeed lower the president concludes that the mean sat score of the entering students is lower than previous years when it is indeed lower
The result is not statistically significant.
To test the hypothesis is the mean SAT score is less than 1520 at 5% significance level.
The null hypothesis is
H₀ : μ ≥ 1520
The alternative hypothesis is
Hₐ : μ ≤ 1520
then the test statistic is,
t = (x - μ)/(s/√n)
= (1501 - 1520)/(53/√20)
t = - 1.603
The t-test statistic is - 1.603.
Degree of freedom n - 1 = 20 - 1 = 19
Hence the t-critical value is -1.792.
The conclusion is that the t value corresponds to sample statistics is not fall in the critical region, so the null hypothesis is not rejected at 5% level of significance. There is insignificance evidence indicates that the mean SAT score is less than 1520.
The result is not statistically significant.
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2) Tìm các giá trị của x để biểu thức M = (x + 5).(x + 9)
a) có giá trị dương. b) có giá trị âm
Answer:
please translated to english
in a pitch black room you have a drawer with 27 black socks, 18 grey socks, and 9 navy socks. how many socks do you take out to ensure you get a pair that is not navy?
There is a 5/6 probability that you will remove pairs of socks to make sure you obtain a pair that is not navy.
What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.
Statistics is the study of events that follow a probability distribution.
So, we know that:
27 black socks.
18 grey socks.
9 navy socks.
Probability formula: P(E) = Favouravle events/Total events
Now, insert values in the formula as follows:
P(E) = Favouravle events/Total events
P(E) = 27+18/27+18+9
P(E) = 45/54
P(E) = 15/18
P(E) = 5/6
Therefore, there is a 5/6 probability that you will remove pairs of socks to make sure you obtain a pair that is not navy.
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Correct question:
in a pitch-black room, you have a drawer with 27 black socks, 18 grey socks, and 9 navy socks. What is the probability that you take out pairs of socks to ensure you get a pair that is not navy?