Since the p-value is less than the significance level of 0.05, we can reject the null hypothesis, the size of the home is a significant predictor of the selling price of homes sold recently in the southern Sydney area.
(a) Null hypothesis: H0: β1 = 0 (The size of the home is not a significant predictor of the selling price of homes sold recently).
Alternative hypothesis: Ha: β1 ≠ 0 (The size of the home is a significant predictor of the selling price of homes sold recently).
(b) The t-test statistic: We can use the t-test statistic to test whether the slope (β1) of the regression line is significant at the 5% level.
t = (β1 - 0) / SE(β1)
= 0.0643 / 0.01224
= 5.25
(c) The degrees of freedom (df) for this t-test statistic will be n - 2, where n is the sample size.
Since the sample size is 48, the degrees of freedom will be 48 - 2 = 46.
(d) Final conclusion of this test: Since the p-value is less than the significance level of 0.05, we can reject the null hypothesis.
Thus, we conclude that the size of the home is a significant predictor of the selling price of homes sold recently in the southern Sydney area.
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what is the equation of a parabola with the given vertex and focus ?
vertex(-2,5)focus(-2,6)
14.what is the center and radius of a circle with the given equation?
x^2+y^2-4x+10y=7
The equation of a parabola with vertex (h, k) and focus (h, k + p) is given by the equation (x - h)^2 = 4p(y - k). In this case, the vertex is (-2, 5) and the focus is (-2, 6). Since the x-coordinate of both the vertex and focus is the same, we can conclude that the parabola opens either upward or downward. The equation of the parabola is then (x + 2)^2 = 4p(y - 5).
The given equation x^2 + y^2 - 4x + 10y = 7 can be rewritten as (x^2 - 4x) + (y^2 + 10y) = 7. To complete the square, we need to add and subtract terms to both sides of the equation to create perfect square trinomials. By adding (4/2)^2 = 4 to the x terms and (10/2)^2 = 25 to the y terms, we have (x^2 - 4x + 4) + (y^2 + 10y + 25) = 7 + 4 + 25, which simplifies to (x - 2)^2 + (y + 5)^2 = 36. Comparing this equation to the standard form of a circle (x - h)^2 + (y - k)^2 = r^2, we can identify the center of the circle as (2, -5) and the radius as the square root of 36, which is 6. Therefore, the center and radius of the circle are (2, -5) and 6, respectively.
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Which function has the graph shown?
Answer:
D) -cos(x)
Step-by-step explanation:
What is the value of x? i will give brainliest please help
Answer:
I completely forgot how to do this I'm sorry
Step-by-step explanation:
Suppose the price of a bond is given by the following
function:
23.751-1+i-20i+5001+i-20=547.50
Use linear interpolation to approximate the value of
i:
The approximate value of i using linear interpolation is i ≈ 0.010526.
To approximate the value of i using linear interpolation, we need two data points on either side of the desired value of i. In the given equation, we have the following data points:
When i = 0, the price of the bond is 547.50.
When i = 0.01, the price of the bond is 23.751 - 1(0.01) - 20(0.01) + 500 / (1 + 0.01 - 20) = 442.24.
Since the desired value of i lies between 0 and 0.01, we can use linear interpolation to approximate it.
Linear interpolation assumes a linear relationship between two data points and estimates the value based on the proportionate distance between those points.
Let's denote the desired value of i as [tex]i_d[/tex]. We can set up the following equation to find [tex]i_d[/tex]:
[tex](i_d - 0) / (0.01 - 0) = (547.50 - 442.24) / (0.01 - 0)[/tex]
Simplifying the equation:
[tex](i_d - 0) / 0.01 = (547.50 - 442.24) / 0.01i_d / 0.01 = 105.26 / 0.01i_d = 105.26[/tex]
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5. Arrange these numbers in ascending order (from least to greatest) -2.6 -2.193 -2.2 -2.01 I
Answer:
see below
Step-by-step explanation:
-2.6
-2.2
-2.193
-2.01
Since they are negatives, the higher number it is, the smaller it actually is. The smaller the number is, that number will be closer to 0 and will actually be higher than the rest.
Hope this helps! :)
y varies directly with the cube of x
y = 108 when x = 3
Express y In terms of x
Answer:
y = 36x
Step-by-step explanation:
y varies directly with x ,
that is y [tex]\propto[/tex] x
Let k be constant
=> y = kx
=> 108 = k(3)
=> k = 108/3
=> k = 36
y can be expressed in terms of x as kx or simply 36x . As we found value of constant as 36.
The cost of a car rental is $40 per day plus $0.22 per mile. You are on a daily budget of $84. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer:
200 miles
Step-by-step explanation:
Given data
cost of car rental per day= $40
cost per mile= $0.22
We are told that the budget is $84
The expression for the total cost is given as
y= 40+0.22x
where x = the distance travelled
now for y=$84, by substituting we can get x
84=40+0.22x
84-40=0.22x
44=0.22x
divide both sides by 0.22
x= 44/0.22
x=200
Hence the distance that $84 will go is 200 miles
The ecology club plans to increase the size of a rectangular green space by adding 6 feet to each dimension of the green space. a. The ecology club wants to put fencing around the proposed green space. How many more feet of fencing will the club need to buy for the proposed green space than it would have bought for the current green space? b. The ecology club wants to cover the proposed green space with a layer of sod. How much greater is the area of the proposed green space than the area of the current green space? a a. 9 more feet of fencing b. 441 square feet greater b a. 24 more feet of fencing b. 276 square feet greater c a. 36 more feet of fencing b. 624 square feet greater d a. 12 more feet of fencing b. 129 square feet greate
Answer:
gg
Step-by-step explanation:
gfg
QUESTION 1
1.1 Find the sum:
1.1.1 2+6+(-7) + 10 =
1.1.2 (-49) + (15) + (-10) =
Answer:
1.is 11
2. is-44
Step-by-step explanation:
1) 2+6-7+10
= 11
2) -49+15-10
= -44
Use the rule x + 9 to write a sequence. Start with x = 0.
Be sure to write a sequence of at least six numbers, each separated by commas:
0, ___, ___, ___, ___, ___
Answer:
9, 10, 11, 12, 13, 14, 15
Step-by-step explanation:
0 + 9 = 9
1 + 9 = 10
2 + 9 = 11
3 + 9 = 12
4 + 9 = 13
5 + 9 = 14
6 + 9 = 15
The sequence of at least six numbers, by using rule x + 9 Start with x = 0 is 9, 10, 11, 12, 13, 14.
What is sequence?An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.
Given:
x + 9
First sequence, Put x = 0
0 + 9 = 9
Second sequence, put x = 1
1 + 9 = 10
Second sequence, put x = 2
2 + 9 = 11
Second sequence, put x = 3
3 + 9 = 12
Second sequence, put x = 4
4 + 9 = 13
Second sequence, put x = 5
5 + 9 = 14
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Can some one tell me what is: B X H, cause its apart of my assignment
Answer:
Step-by-step explanation:
it is about math then b=base
and h =height
The sum of two numbers is 37 . The smaller number is 15 less than the larger number. What are the numbers?
Answer:
11 and 26
Step-by-step explanation:
x+x-15=37
x+x-15+15=37+15
x+x=52
2x=52
2x÷2=52÷2
x=26
26+26-15=37
37=37
Type the correct answer in the box. Use numerals instead of words.
Consider this equation.
10*+25
How many valid solutions does the equation have?
The equation has
valid solution(s).
The original equation (10x + 25) / (3x + 12) = 5x / (x + 4) has no valid solutions.
We have,
To determine the number of valid solutions for the equation
(10x + 25) / (3x + 12) = 5x / (x + 4), we need to solve the equation and check if there are any values of x that satisfy the equation while not causing any division by zero.
Let's solve the equation step by step:
(10x + 25) / (3x + 12) = 5x / (x + 4)
Cross-multiply to eliminate the fractions:
(10x + 25)(x + 4) = (3x + 12)(5x)
Expand both sides:
10x² + 40x + 25x + 100 = 15x² + 60x
Combine like terms:
10x² + 65x + 100 = 15x² + 60x
Subtract 10x² + 60x from both sides:
5x² + 5x + 100 = 0
Now we have a quadratic equation.
To solve it, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
For the equation 5x² + 5x + 100 = 0, a = 5, b = 5, and c = 100.
Calculating the discriminant (b² - 4ac):
Discriminant = (5²) - (4 x 5 x 100)
Discriminant = 25 - 2000
Discriminant = -1975
Since the discriminant is negative (-1975), the quadratic equation has no real solutions.
Therefore,
The original equation (10x + 25) / (3x + 12) = 5x / (x + 4) has no valid solutions.
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Anyone know this and if do pls help
70% of the trip length, t, is 35 miles. Find t:
0.70t = 35. Dividing both sides by 0.70, we get:
35
t = ----------- = 50
0.70
The total trip length is 50 miles.
If the vibrating string is subject to viscous damping, the governing equa- tion can be written as du(x, t) J²u(x, t) Ət² ²u(x, t) x2 2h = 7 Ət where h is a constant.
The given equation represents the governing equation for a vibrating string subject to viscous damping. The equation involves the partial derivatives of the displacement function u(x, t) with respect to both time t and position x. The left-hand side of the equation captures the effects of inertia and elasticity of the string, while the right-hand side represents the damping term.
The term du(x, t)/dt^2 describes the acceleration of the string at a specific point (x, t) and is proportional to the second derivative of u with respect to time. The term d^2u(x, t)/dx^2 represents the curvature or bending of the string at that point and is proportion to the second derivative of u with respect to position.
The constant h represents the damping coefficient, which determines the level of damping present in the system. Higher values of h indicate stronger damping effects, while lower values imply less damping.
The equation states that the sum of the damping term and the terms related to inertia and elasticity is equal to 7 times the partial derivative of u with respect to time.
By solving this governing equation, one can determine the behavior of the vibrating string over time and space, taking into account the effects of viscous damping.
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The results of a linear regression are shown below.
y=ax+b
a=-1.15785
b=139.3171772
r=-0.896557832
r^2=0.8038159461
Which phrase best describes the relationship between x and y?
A. Strong negative correlation
B. Strong positive correlation
C. Weak positive correlation
D. Weak negative correlation
Hello!
As we can see, our a value, which would be the coefficient of [tex]x[/tex], which determines our slope, is negative, meaning that this whole line is negative.
Furthermore, the correlation can be determined using the r value of the linear regression, which is around -0.9.
If the r value of the linear regression is close to 1 or -1, let's say around |r| > 0.8, then we can consider the regression a strong correlation, meaning that this is a strong negative correlation, which is answer choice A.
Eileen jogs every day. Last month, she jogged 6.5 hours for a total of 37.05 miles. At this speed, if Eileen runs 31.5 hours, how far can she run? (what equation would I use?)
I hope this helped
Step-by-step explanation:
First: 37.05 miles / 6.5 hours = 5.7
Next: 5.7 miles per hour
Third: 31.5 hours times 5.7 miles= 179.55 miles
Lastly: 179.55 miles for 31.5 hours
A researcher wanted to investigate the relationship between gender and career choice (career choice is classified as either predominantly male, predominantly female, or neutral). One-hundred males and one-hundred females were randomly selected and their profession was classified into one of the three career types. Which of the following procedures is most appropriate for the above example?
Chi-square test of independence
One-way within subjects ANOVA (Repeated measures ANOVA)
One-way between subjects ANOVA
Correlation
Chi-square goodness of fit test
The most appropriate procedure for the given example is the Chi-square test of independence.
Chi-square test of independence: This statistical test is used to determine if there is a significant association between two categorical variables. In this case, the researcher wants to investigate the relationship between gender (male or female) and career choice (predominantly male, predominantly female, or neutral). The test will help determine if there is a dependency between gender and career choice.
a. Formulate hypotheses: The null hypothesis (H0) states that there is no association between gender and career choice, while the alternative hypothesis (Ha) states that there is an association.
b. Set the significance level (alpha): Typically, it is set to 0.05 or 0.01, depending on the desired level of confidence.
c. Create a contingency table: Construct a table that shows the observed frequencies of career choices for each gender.
d. Calculate expected frequencies: Compute the expected frequencies under the assumption of independence between gender and career choice.
e. Calculate the chi-square statistic: Determine the chi-square statistic based on the observed and expected frequencies.
f. Determine the critical value: Look up the critical value from the chi-square distribution table using the degrees of freedom and chosen alpha level.
g. Compare the chi-square statistic and critical value: If the chi-square statistic is greater than the critical value, reject the null hypothesis and conclude that there is a significant association between gender and career choice. If it is not, fail to reject the null hypothesis.
h. Interpret the results: Based on the conclusion, provide an interpretation of the findings, indicating whether there is evidence of a relationship between gender and career choice.
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A social researcher wants to test the hypothesis that college students who drink alcohol while text messaging type a different number of keystrokes than those who do not drink while they text. The social researcher studies a sample 50 drinking texters and 50 non-drinking texters. The sample mean number of keystrokes for drinking texters was 142 with a sample standard deviation of 7.45. The sample mean number of keystrokes for non-drinking texters was 120 with a sample standard deviation 6.81. Test the null hypothesis of no difference in mean keystrokes between the population of students who drink while texting and the population of students who do not drink while texting.
What is the null hypothesis in this study?
There is no difference in mean keystrokes between the populations of students who drink and text and students who do not drink and text.
There is a difference in mean keystrokes between the populations of students who drink and text and students who do not drink and text.
The sample mean keystrokes for drinking texters is ______ and the sample mean keystrokes for non-drinking texters is _______
The sample variance for drinking texters is _____ and the sample variance for non-drinking texters is ________
What is the standard error of the difference between means?
What is the calculated t? _____
What is the critical t? ______
Based on the comparison of calculated t and critical t, what must we do?
Retain the null hypothesis of no difference in mean keystrokes between the populations of drinking texters and non-drinking texters.
Reject the null hypothesis and conclude there is a difference in mean keystrokes between the populations of drinking texters and non-drinking texters.
The null hypothesis in this study is that there is no difference in mean keystrokes between the populations of students who drink and text and those who do not.
The null hypothesis in this study states that there is no difference in mean keystrokes between the populations of students who drink and text and those who do not. It assumes that the mean keystrokes for both groups are equal.
The sample means keystrokes for drinking texters is stated as 142, while for non-drinking texters, it is 120.
The sample variances for drinking and non-drinking texters are not provided in the question. Without the sample variances, it is not possible to calculate the standard error of the difference between means.
The calculated t-value and critical t-value are not given in the question. The comparison between the calculated t-value and critical t-value is necessary to determine the appropriate action.
Based on the comparison of the calculated t-value and critical t-value, the appropriate action to take is not specified in the question. It is usually done by comparing the calculated t-value with the critical t-value at a specific significance level. If the calculated t-value exceeds the critical t-value, the null hypothesis is rejected, suggesting a significant difference in mean keystrokes between the populations. If the calculated t-value is less than the critical t-value, the null hypothesis is retained, indicating no significant difference in mean keystrokes between the populations.
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Find the midpoint of the segment with the following endpoints.
(5,5) and (10,8)
Answer: G
Step-by-step explanation:
Answer:
(7.5, 6.5)Step-by-step explanation:
Edg 2021
What’s 1/5 divided by 1/12?
Choose two things that a rigid motion preserves.
Two things that a rigid motion preserves are: length and angle.
The two things that a rigid motion preserves are:
1. Length: A rigid motion preserves the length of objects. This means that the distances between points or the lengths of line segments remain the same after the rigid motion is applied.
For example, if you have a line segment AB of length 5 units, a rigid motion such as translation, rotation, or reflection will not change the length of AB.
2. Angle: A rigid motion preserves angles between lines or line segments. This means that the measure of an angle remains the same after a rigid motion is applied.
For example, if you have an angle ABC with a measure of 60 degrees, a rigid motion will not change the measure of angle ABC.
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How do the number of faces, vertices, and edges of a cube compare to the number of faces, vertices, and edges of a tetrahedron? A cube has more faces than a tetrahedron. A cube has more vertices than a tetrahedron. A cube has more edges than a tetrahedron.
Answer:
it is 2, 4 and 6
Step-by-step explanation:
convert the angle 0=17 pie/18 radians to degrees
Answer:
it would be 170°
Step-by-step explanation:
( 17 πover 18 ) ⋅ 180 ° over π
17over18 ⋅ 180
then you cancel the common factors
17 ⋅ 10 mulitply those two and end up with
170°
Rearrange t= 5s + 4 to make s the subject.
p=(w+2)/3w solve for w
Answer: w = 2/3p-1
Step-by-step explanation: You must subtract w from both sides and then factor the equation
What are the distances between the pair of points
G(0,-3) and H(0,-6)
Answer:
the distance is 3 units
Step-by-step explanation:
Answer:
3 units
Step-by-step explanation:
Which of the following
represents 9!
A. 9
B. 9*8*7*6*5*4*3*2*1
C. 9+8+7+6+5+4+3+2+1
2x+4 and 5x-8 help please
Answer:
7x - 4
Step-by-step explanation:
2x + 4 + 5x - 8
7x + 4 - 8
7x - 4
The Z score for the observation of 500 has meaning that: a. Z score is always equal to the mean b. Z score is by one standard deviation smaller than the mean c. The observation is by one standard deviation greater than the mean d. The observation is equal to the mean
However, we know that the correct option is c, because the observation is one standard deviation greater than the mean.
The Z score for the observation of 500 has the meaning that the observation is one standard deviation greater than the mean. Therefore, the correct option is c. The Z score is a measure of how far a data point is from the mean, in terms of the number of standard deviations.
It's calculated by subtracting the mean from the observation, then dividing by the standard deviation. So, if the Z score is positive, it means the observation is above the mean, while a negative Z score means the observation is below the mean.
In this case, we are told that the observation has a Z score of 1. This means that the observation is 1 standard deviation above the mean. Since the mean is not given, we cannot say whether option a or option d is correct.
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The Z score for the observation of 500 has meaning that the observation is by one standard deviation greater than the mean.
To find the Z-score.
A Z-score, also known as a standard score, is the number of standard deviations from the mean that a data point.
The formula for calculating the Z-score is: Z = (X - μ) / σ, where X is the raw score being transformed, μ is the mean of the population, σ is the standard deviation of the population.
Given that Z-score is the number of standard deviations from the mean that a data point is, the Z score for the observation of 500 has meaning that the observation is by one standard deviation greater than the mean.
Therefore, option (c) is the correct answer: The observation is by one standard deviation greater than the mean.
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