Answer:
y ≤ \(\frac{1}{2}x\) + 2
(first option listed)
Step-by-step explanation:
To quickly find what function is graphed, you can test out one point you find on the graph.
Here, a simple x-value to plug in is 0, because we know it must be equal to 2.
We also know, from what part of the graph is shaded, that this inequality is everything less than that point
(meaning that we should see y ≤ in the inequality)
So, knowing that y must be ≤ eliminates half of the answer options.
If we plug in 0 to either, we get 2.
So, we need to choose another x-value to evaluate.
We can see that when x = -2, y = 1
We can quickly plug this into both equations
\((\frac{1}{3}) (-2)= \frac{-2}{3}\\\\ \frac{-2}{3} +2 = \frac{4}{3}\)
\(\frac{4}{3} \neq 1\)
-----------------------------------
\((\frac{1}{2})(-2) = -1\\ \\-1+2 = 1\)
\(1 =1\)
This means that this graph represents the linear inequality:
y ≤ \(\frac{1}{2}\) \(x\) + 2
In an article, Evans and Schwab (1995) studied the effects of attending a Catholic high school on the probability of attending college. For concreteness, let college be a binary variable equal to unity if a student attends college, and zero otherwise. Let CathHS be a binary variable equal to one if the student attends a Catholic high school. A regression model is: college =β0+β1 CathHS + other factors +ut where the other factors include gender, race, family income, and parental education. (i) Why might CathHS be correlated with ut ? (3 marks) (ii) Evans and Schwab have data on a standardized test score taken when each student was a sophomore. What can be done with these variables to improve the ceteris paribus estimate of attending a Catholic high school? (3 marks) (iii) Let CathRel be a binary variable equal to one if the student is Catholic. Discuss the two requirements needed for this to be a valid IV for CathHS in the preceding equation. Which of these can be tested? (3 marks) (iv) Not surprisingly, being Catholic has a significant effect on attending a Catholic high school. Do you think CathRel is a convincing instrument for CathHS? (3 marks) (v) Give an example of two variables that you would include in the variable otherfactors. ( 3 marks) (vi) Which test would you implement in Stata to test if these two variables (that you specified in part (v)) affect college? ( 3 marks)
CathHS might be correlated with ut (error term) because there could be unobserved factors related to attending a Catholic high school that also influence the probability of attending college. These unobserved factors can lead to a correlation between CathHS and ut. To improve the ceteris paribus estimate of attending a Catholic high school, the standardized test score taken when each student was a sophomore can be included as a control variable in the regression model.
(i) CathHS might be correlated with the error term ut in the regression model because there could be unobserved factors related to attending a Catholic high school that also affect the probability of attending college. These unobserved factors could include the school's religious environment, values, or quality of education, which may impact a student's college attendance.
(ii) To improve the ceteris paribus estimate of attending a Catholic high school, including the standardized test score taken when the students were sophomores as a control variable can account for differences in academic performance. By controlling for this factor, the influence of attending a Catholic high school on college attendance can be better isolated and measured.
(iii) For CathRel to be a valid instrument for CathHS, two requirements must be met. Firstly, there should be a correlation between being Catholic (CathRel) and attending a Catholic high school (CathHS), as being Catholic may influence the choice of school. Secondly, CathRel should not directly affect college attendance, except through its impact on attending a Catholic high school. The first requirement can be tested by examining the correlation between CathRel and CathHS.
(iv) Whether CathRel is a convincing instrument for CathHS depends on meeting the requirements mentioned in part (iii). If CathRel is found to be correlated with CathHS and does not have a direct effect on college attendance, except through attending a Catholic high school, it can be considered a convincing instrument.
(v) Examples of variables that can be included in the "other factors" category are gender, race, family income, and parental education. These variables represent additional socio-economic and demographic factors that could influence the probability of attending college. Including them in the regression model helps account for their potential effects on college attendance.
(vi) To test the influence of the variables specified in part (v) on college attendance, a statistical test such as multiple regression analysis can be implemented in Stata. This test would involve using college attendance as the dependent variable and the specified variables (gender, race, family income, and parental education) as independent variables. The results of the regression analysis would indicate the significance and impact of these variables on college attendance, providing insights into their effects beyond the influence of attending a Catholic high school.
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a • 9 for a = 2 I do not understand how to do it
Answer:
Answer is 18
Step-by-step explanation:
Substitute the variable.
2 x 9 =
Then solve
2 x 9 = 18
* You have a dog that can run 5 km/hr. How fast can she run in mi/hr? (i.e. convert the rate to miles per hour) (1.6 km=1mi) DO NOT JUST TYPE THIS INTO A CONVERTER ONLINE. YOU WILL NOT GET THE ANSWER RIGHT. Express your answer as decimal, rounded to the nearest thousandth (three decimal places) in mi/hr - no spaces EXAMPLE: 78.345mi/hr
The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.
To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.
However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.
Therefore, the dog can run at approximately 3.125 mi/hr.
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Classify the quadrilateral whose vertices are: A(3,2); B(0,5); C(-3,2); D(0,-1)x Select all that apply
Solution
- We can plot the coordinates given using a graphing calculator as shown below:
- From the above, we can see that the sides are equal and the looks like a diamond
- Thus, the quadrilateral is a Rhombus
- Since all the angles are 90 degrees, it is also a square only that it was rotated.
- A square is a special type of rectangle, thus, the shape is also a rectangle
- A parallelogram as its opposite sides parallel and opposite angles equal. This is the same with our figure. Thus, it is also a parallelogram
Determine the equation of the line that is perpendicular to the given line, through the given point
y=x-1; (-6,2)
Answer:
y = -x - 4
Step-by-step explanation:
Given line: y = x - 1
Slope of given line = 1
The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular line is -1.
slope = -1
point: (-6, 2)
y = mx + b
y = -x + b
2 = -(-6) + b
2 = 6 + b
b = -4
Equation:
y = -x - 4
what other ways can you put 36/-12 or 36/12
Answer:
-18/6 18/6 or 9/3, -9/3 or 3/1, -1/3
Hope this helps
Answer:
I think 3/1 or 1.5 or 1 1/2
Step-by-step explanation:
Please help me with this Question
Answer:
Total volume equals V1 - V2
\(v = \pi {r}^{2} h\)
\(v = 12\pi {r1}^{2} - 12\pi {r2}^{2} \)
where:
r1 = radius 1
r2 = radius 2
Step-by-step explanation:
\(r1 \\ v1 = 12\pi {3.5}^{2} \: is \: approx. \: 461.81 {cm}^{3} \)
\(r2 \\ v2 = 12\pi {3.3}^{2} \: is \: approx. \: 410.54 {cm}^{3} \)
Total Volume v is
\(461.81 - 410.54 = 51.27 {cm}^{3} \)
answer for ten points!
Answer:
try 1239128981441231241
Step-by-step explanation:
myra
PLEASE HELP DISCRETE MATH 14
14) Select the expression that is equal to the set corresponding to the shaded region in the Venn diagram below: a. (C \cup B) \cup A b. (C \cap B) \cap A c. (C \cup B) \cap A d.
The expression equal to the set corresponding to the shaded region in the Venn diagram is option c. (C ∪ B) ∩ A.
In the Venn diagram, the shaded region represents the elements that are common to sets C, B, and A.
To obtain this set using set operations, we need to intersect (take the common elements) of sets C ∪ B and A. Option c, (C ∪ B) ∩ A, precisely represents this operation.
Taking the union of sets C and B includes all elements in both sets, and then intersecting the result with set A ensures that only the common elements present in all three sets are selected. Thus, option c corresponds to the shaded region in the Venn diagram.
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Justine drives to her company's main office every day,
Monday through Thursday. The trip is 20 miles one
way. On Friday, she drives to the regional office. This
trip is 50 miles one way. How many miles does Justine
drive in three weeks?
In three weeks, Justine drives a total of 760 miles. In three weeks, there are 3 x 5 = 15 driving days.
To calculate the total distance, we first need to determine how many days Justine drives in three weeks. Since she drives Monday through Thursday to the main office and one day (Friday) to the regional office, she drives a total of 5 days in a week. In three weeks, there are 3 x 5 = 15 driving days.
For the main office trips from Monday through Thursday, she drives 20 miles each way, which is a round trip of 2 x 20 = 40 miles per day. Therefore, in a week, Justine drives 5 x 40 = 200 miles for the main office trips.
For the regional office trip on Friday, she drives 50 miles one way, which is a round trip of 2 x 50 = 100 miles.
To calculate the total distance in three weeks, we add the distances for the main office trips and the regional office trip: 15 x (200 + 100) = 15 x 300 = 4500 miles.
In summary, Justine drives a total of 4500 miles in three weeks, considering her daily trips to the main office and the regional office.
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You are in a satellite orbiting a moon of Saturn. By measuring the acceleration due to gravity of the moon, and knowing how far away you are from the surface of the moon, what can you calculate?
By measuring the acceleration due to gravity of a moon of Saturn and knowing the distance from the satellite to the moon's surface, you can calculate the mass of the moon.
The acceleration due to gravity of a celestial body is determined by its mass. By measuring the acceleration due to gravity of the moon while in orbit and knowing the distance from the satellite to the moon's surface, you can use Newton's law of universal gravitation to calculate the mass of the moon. The equation for calculating the mass involves the gravitational constant, the acceleration due to gravity, and the distance from the satellite to the moon's center. With these values, you can solve for the mass of the moon, providing valuable information about its size and composition.
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Identify the coordinates of the midpoint of JW¯¯¯¯¯¯, which has endpoints J(−1,−9) and W(7,−7).
\( \large \bf \longrightarrow{(3, - 8)}\)
Step-by-step explanation:Step 1) : Write the midpoint formula
\( \large \implies \bf(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )\)
Step 2) : Substitute (-1 , -9) and (7 , -7) into \(\bf(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )\)
\(\large \implies \bf(\frac{ - 1 + 7}{2}, \frac{ - 9 - 7}{2} )\)
Step 3) : Calculate
\(\large \implies \bf(\frac{6}{2}, \frac{ - 16}{2} )\)
Step 4) : Cross out the common factor
\({\large \implies \bf(\frac{ \cancel{6}}{ \cancel{2}}3, \frac{ \cancel{ - 16}}{ \cancel{2}}} \bf - 8)\)
Step 5) : We have got the answer
\(\large \bf \implies{(3, - 8)}\)
Please help me on my assignment I have to do it before taking the test
Answer:
26
Step-by-step explanation:
w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26
Lauren is saving up. she alright has $40 and can save an additional $5 per week using money from her after school job. How much money would Lauren have after 9 weeks of saving?
Answer:
$85
Step-by-step explanation:
y=5x+40
x=weeks
y=total money
y=5(9)+40
y=45+40
y= 85
what is the difference between brackets and parentheses in math?
Can someone please help me? I'm confused
Answer:
±1, ±2, ±2/3, ±1/3
or
1,2,2/3,1/3,-1,-2,-2/3,-1/3
Step-by-step explanation:
Start by listing all the factors of the y intercept (in this case 2)
1,2
Then list out all the factors of the coefficent with the highest degree (3 in this case)
1,3
You're then supposed to divide all possible pairs
so all the possible zeroes are
±1, ±2, ±2/3, ±1/3
1. (a). Draw the triangle which has comers at the points with coordinates A(1,4), B(1,7) and C(3,5)
(b). Reflect this shape in the line y = 2x + 1 and state the coordinates of the corners of the reflected shape A1B₁C1.
and state the coordinates of the corners of the
(c). On the same axes, reflect triangle A BICI in the line y = -
=-X-
reflected shape.
Note: Strictly use only one graph page Use different colours for each shape to be plotted
The attached image shows the triangle with coordinates A(1,4), B(1,7) and C(3,5) and reflected over the line y = 2x + 1.
Understanding Triangle and ReflectionReflection refers to the transformation of a geometric shape by flipping it across a line called the line of reflection.
When a shape undergoes reflection, every point on the shape is mapped to a corresponding point on the opposite side of the line of reflection, maintaining the same distance from the line.
For example, if you have a triangle and reflect it across a line of reflection, the resulting image will be a triangle with the same size and angles, but it will be facing in the opposite direction.
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A patient's temperature fell 2°. Later, it fell again by 2º and again after that it fell another 2°. Which expression most accurately describes the change in the patient's temperature?
The expression that most accurately describes the change in the patient's temperature is -2° (3).
Option 3 is the correct answer.
We have,
The expression that most accurately describes the change in the patient's temperature would be:
-2° + (-2°) + (-2°)
This expression represents the successive temperature drops of 2° each time.
By adding the negative values, we account for the decrease in temperature.
This can be written as,
= -2° x 3
= -2° (3)
Thus,
The expression that most accurately describes the change in the patient's temperature is -2° (3).
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After leaving his house, Nate drove fifteen minutes to take his oldest daughter to the middle school and then drove ten minutes to take his two younger daughters to the elementary school. Next, Nate drove twenty-five minutes to work. If Nate arrived at work at 9:30 a.M., what time did he leave his house?
The time Nate left his house is 8 : 40 am
After leaving his house, Nate drove 15 minutes to take his oldest daughter to the middle school . Therefore,
Time spent to middle schoolt = 15 minutesThen he drove ten minutes to take his two younger daughters to the elementary school. Therefore,
Time spent to elementary schoolt = 10 minutesHe drove twenty-five minutes to work. Therefore,
Time spent to workt = 25 minutesHe arrived at work at 9:30 am. The time he left home can be calculated as follows:
Total time spent on the road = 15 + 10 + 25 = 50 minutes
Therefore,
Time he left home = 9:30 - 50 = 8 : 40 am
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Evaluating Functions Use the function f(x) = 3x + 8 to answer the following questions Evaluate f(-4): f(-4) Determine z when f(x) = 35 HI
To evaluate the function f(x) = 3x + 8 for a specific value of x, we can substitute the value into the function and perform the necessary calculations. In this case, when evaluating f(-4), we substitute -4 into the function to find the corresponding output. The result is f(-4) = 3(-4) + 8 = -12 + 8 = -4.
The function f(x) = 3x + 8 represents a linear equation in the form of y = mx + b, where m is the coefficient of x (in this case, 3) and b is the y-intercept (in this case, 8). To evaluate f(-4), we substitute -4 for x in the function and calculate the result.
Replacing x with -4 in the function, we have f(-4) = 3(-4) + 8. First, we multiply -4 by 3, which gives us -12. Then, we add 8 to -12 to get the final result of -4. Therefore, f(-4) = -4. This means that when x is -4, the function f(x) evaluates to -4.
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The graph below represents the system of equations
3x+4y=12 and 2x-y=8.
Which ordered pair is a solution to the system of
equations?
(0,3)
(3,0)
(4,0)
(0,4)
2
1 +
-5 -3 -2
1 2 3 4
1-24
-3
-4
-5
Answer:
(4, 0)
Step-by-step explanation:
3x + 4y = 12
2x - y = 8
8x - 4y = 32
11x = 44
x = 4
y = 0
Answer: the ordered pair is (4,0)
Step-by-step explanation:
Find the area of the shaded sector. Blue Cross.
gt the size of bass caught in strawberry lake is normally distributed with a mean of 11 inches and a standard deviation of 3 inches. suppose you catch 4 fish. what is the probability the average size of the fish you caught is more than 13 inches?
The probability that the average size of the fish you caught is more than 13 inches is approximately 0.0918
We can solve this problem by using the Central Limit Theorem, which states that the sample mean of a sufficiently large sample size will be normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
In this case, we are given that the population mean is 11 inches and the population standard deviation is 3 inches. We are also given that we have a sample size of 4.
First, we need to calculate the standard error of the mean (SE) using the formula
SE = σ / sqrt(n)
where σ is the population standard deviation and n is the sample size.
SE = 3 / sqrt(4) = 1.5
Next, we need to standardize the sample mean using the formula
z = (x - μ) / SE
where x is the sample mean, μ is the population mean, and SE is the standard error of the mean.
z = (13 - 11) / 1.5 = 1.33
Finally, we can use a standard normal distribution table or calculator to find the probability that a standard normal variable is greater than 1.33. The probability is approximately 0.0918.
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2. Which of the following is the solution of the system of equations shown? A. (−3, −4) B. (–3, 4) C. (3, 4) D. (3, –4). Please show an explanation
Hi, can someone help me with my math homework?
Answer:
You didn't post it up for me to see, I can try to help.
every evening Jenna empties her pockets and puts her change in a jar. At the end of the week she counts her money. One week she had 38 coins, all of them being quarters and dimes. When she added them up she had a total of $6.95. Let d=number of dimes and q= number of quarters. How many dimes did Jenna have?
d = dimes
q = quarters
d+q = 38 coins
q=38-d
0.25q + 0.10d=6.95
0.25(38-d)+0.10d=6.95
9.5-0.25d+0.10d=6.95
-015d=-2.55
d=-2.55/-0.15 = 17
q=38-17 =21
21*0.25 =5.25
17*0.10 = 1.70
5.25+1.70 = 6.95
she had 21 quarters and 17 dimes
On a Venn diagram, shade the region:
1. AnB
2. (BnC)nA
Answer:
hope it will be helpful to you
Step-by-step explanation:
anb shade and anbnc shade
please help me i will give u free pts if u answer it correctly
Answer:
is it in adopt me?
cause I'm only thinking of adopt me rn
Answer:
a c c b d b a a
Step-by-step explanation:
how many pennies, if stacked on top of each other, would equal the height of the empire state building?
The height of the Empire State Building is approximately 1,454 feet. In order to determine how many pennies would equal this height, we need to know the height of one penny. The thickness of a penny is 1.55 millimeters or 0.061 inches. Therefore, 1 foot is equivalent to 12 inches, which means that there are 196.85 pennies in one foot (12 inches / 0.061 inches).
Now, we need to convert the height of the Empire State Building into millimeters to match the unit of the penny's thickness.
3. Convert Empire State Building's height to millimeters: 443.2 meters * 1,000 mm/m = 443,200 mm
Next, we can calculate how many pennies, when stacked on top of each other, would equal the height of the Empire State Building:
4. Divide the height of the Empire State Building (in millimeters) by the thickness of a penny: 443,200 mm / 1.52 mm/penny ≈ 291,447 pennies
So, it would take approximately 291,447 pennies, if stacked on top of each other, to equal the height of the Empire State Building.
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0.21 divided by 0.7959
Answer:
Full answer: 0.26385224274406332453825857519789 Rounded to the nearest hundredth: 0.26 Rounded to the nearest tenth: 0.3
Step-by-step explanation: