Answer:
Step-by-step explanation:
take and mulityply all of them the add them all up
A water park sold 2,640 child tickets and 1,360 adult tickets. What percentage of the tickets sold were child tickets?
Answer:
66%
Step-by-step explanation:
"of the" something = means denominator of a fraction
of the tickets sold = denomination here
question asked about child tickets , so child tickets = numerator here
what percentage? = fraction x 100%
answer:
2640 / (2640+1360) x 100
Prove that the equation y = -x + 3 passes through coordinates (-1, 4) and (1, 2)
Step-by-step explanation:
To prove that the eqn provided passes through those points(coordinates..) we just have to inser the value of x and y. As a result we get the valid ans which stands ftrue for both the coordinates. Hence it's proved.
540 is what percent of 8460
Answer:
6.3829787234%
Step-by-step explanation:
Median of 4,4,4,4,5,6
Answer:
4
Step-by-step explanation:
put number in order from smallest from largest.
4, 4, 4, 4, 5, 6
then take one away from each side until the middle is left.
it would be
4, 4, 4, 5
then
4, 4, 5
then
4
so the answer is 4
100 students participate sport or music.60 participate in sports and 50 participate in music.How many students participate in both activities?
Answer:
10
Step-by-step explanation:
To find out how many students participate in both sports and music, we can use the formula:
Total = Group A + Group B - Both
where "Total" is the total number of students participating in sports or music, "Group A" is the number of students participating in sports, "Group B" is the number of students participating in music, and "Both" is the number of students participating in both.
Plugging in the given values, we get:
Total = 100
Group A = 60
Group B = 50
Both = ?
100 = 60 + 50 - Both
Simplifying the equation, we get:
Both = 60 + 50 - 100
Both = 10
Therefore, 10 students participate in both sports and music.
Math part 3 question 4
The value of (g + f) (-1) is -6. The solution has been obtained by using operations on functions.
What are operations on functions?
The operations on functions allow us to add, subtract, multiply, and divide functions with overlapping domains in a manner akin to how we operate on the terms of the functions.
We are given f(x) = 3x² and g(x) = x - 8
f(-1) = 3(-1)²
f(-1) = 3
g(-1) = -1 - 8
g(-1) = -9
(g + f) (-1)
⇒(g + f) (-1) = g(-1) + f(-1)
⇒(g + f) (-1) = -9 + 3
⇒(g + f) (-1) = -6
Hence, the value of (g + f) (-1) is -6.
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Which fraction makes the sentence true?
bjb
A 12-ft high flagpole is standing vertically at the edge of the roof of a building. The angle of elevation of the top of the pole from a point on the ground that is 64 ft from the base of the building is 78° and 50'. Find the height of the building.
a) 112.2 ft
b) 212.2 ft
c) 312.2 ft
d) 412.2 ft
A 12-ft high flagpole is standing vertically at the edge of the roof of a building with angle of elevation of 78°50'. The height of the building is 312.2 ft (option c)
To find the height of the building, we can use the tangent function of the angle of elevation. The tangent function relates the opposite side (height of the building + flagpole) to the adjacent side (distance from the base of the building) of a right triangle.
The angle of elevation is given as 78° and 50'. We can convert this to decimal form by dividing the minutes by 60:
78° + (50'/60) = 78.833°
Let H = height of the building + height of the flagpole
Then,
tan(78.833°) = opposite/adjacent
tan(78.833°) = H/64 ft
H = 64 ft * tan(78.833°)
H = 324.2 ft
Therefore,
the height of the building = H - 12
= 324.2 - 12 = 312.2 ft (option c)
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What is the area of the following composite figure? Round to the nearest whole. I NEED THE ANSWER ASAP.
Answer:
141 inch^2
Step-by-step explanation:
13×7= 91 for the rectangle
13-5=8
diameter of circle=8
radius=4
area if circle=4^2 times π
=16×π
=16π
16π+91=141.2654....
to the nearest whole= 141 inch^2 I think
write a multiplication expression to represent this problem 9 1/3
The multiplication expression will be (9*3+1)/3.
What exactly are expressions?
In mathematics, an expression is a combination of one or more numbers, variables, and/or mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, and logarithms) that can be evaluated to produce a single numerical or algebraic value.
Expressions can be very simple, such as a single number or variable, or they can be more complex, involving multiple variables and operations. They can also include mathematical functions and constants, such as pi or the square root of a number.
Here are some examples of expressions in mathematics:
Now,
We have expression 9 1/3
and to change it to simple fraction
we do this 9*3+1/3
=27+1/3
=28/3
Hence,
The multiplication expression will be (9*3+1)/3.
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Hey everyone and anyone of anybody could please help me with this math worksheet i would greatly appreciate it
The side x is 30 miles
The unknown side is 346 yards
What is the sine rule?The sine rule, also known as the law of sines, is a formula that relates the sides and angles of a non-right triangle (a triangle that does not have a 90-degree angle). The sine rule states that the ratio of the length of a side of a triangle to the sine of the opposite angle is the same for all three sides of the triangle.
1) Using the sine rule;
x/sin 65 = 32/sin75
xsin75 = 32sin65
x = 32sin65/sin75
x = 30 miles
2) The angle = π/3 = 180/3 = 60 degrees
Using the cosine rule;
c^2 = (200)^2 + (400)^2 - (2 * 200 * 400) cos 60
c^2 = 200,000 - 80,000
c = 346 yards
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The equation is only a good model of the relationship when the outdoor tempeture is 55
a) When the number of chirps per minute, c = 110, then the outdoor temperature is 67.5°F.
b) If outdoor temperature is, f at least 55° F, then 60 chirps we can expect to hear in a minute at that temperature.
c) The graph for linear function, f = (1/4)c + 40, is present above.
d) The cofficient of linear function/ equation represents the slope of linear equation.
A function is a relationship that exists between two variables, where one variable depends on the other.
Independent variables, are input values and represent the horizontal axis of the cartesian plane.Dependent variable: Its result is the evaluation of the function with the values of the input values. The linear relationship is of the form: f(x) = mx + b, where m is the slope of the line, b is the intersection with the y-axis, orThe linear equation is f = (1/4)c + 40 ----(1)
where, c--> the number of chirps per minute, that the tree cricket makes is linearly dependent on f.
f--> the temperature in Fahrenheit.
a) When number of chirps per minute,c = 110. We have to determine the outdoor temperature in degrees Fahrenheit. Substitute the value c = 110 in equation (1),
=> f = 1/4×110 + 40
=> f = 27.5 + 40
=> f = 67.5
So, required value is 67.5° F.
b) The outdoor temperature is, f at least 55° F, i.e., f = 55° F
Substitute f value in equation (1),
=> 55 = (1/4)c + 40
=> 55 - 40 = (1/4)c
=> (1/4)c = 15
=> c = 4× 15
=> c = 60
c) On the coordinate plane, graph that represents the relationship between the number of chirps, c and the temperature, f is attached in above figure.
d) The cofficient 1/4 in linear equation represents the slope of equation, df/dc that is change in outdoor temperature (°F) per crickets chirp in minutes. Hence, the required cofficient represents slope.
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Complete question:
In places where there are crickets, the outdoor temperature can be predicted by the rate at which crickets chirp. One equation that models the relationship between chirps and outdoor temperature is f = (1/4)c + 40, where c is the number of chirps per minute and f is the temperature in degrees Fahrenheit.
a). Suppose 110 chirps are heard in a minute. According to this model, what is the outdoor temperature?
b) The equation is only a good model of the relationship when the outdoor temperature is at least 55∘F. (Below that temperature, crickets aren't around or inclined to chirp.) How many chirps can we expect to hear in a minute at that temperature?
c) On the coordinate plane, draw a graph that represents the relationship between the number of chirps and the temperature.
d) Explain the cofficient 1/4 in equation tells us about relationship.
Use the information in the table below to answer the following question.
Name of Fund
NAV
Offer Price
Upton Group
$18.47
$18.96
Green Energy
$17.29
$18.01
TJH Small-Cap
$18.43
$19.05
WHI Health
$20.96
NL
Tracy buys 150 shares of Upton Group and 100 shares of WHI Health. What is Tracy’s total investment?
a.
$4,940.00
b.
$5,040.00
c.
$5,914.50
d.
$5,988.00
Tracy's total investment is $4,940. The Option A is correct.
What is Tracy’s total investment?An investment basically means the process of exchanging income during one period of time for an asset that is expected to produce earnings in future periods.
To find Tracy's total investment, we need to calculate the cost of buying 150 shares of Upton Group and 100 shares of WHI Health.
For 150 shares of Upton Group:
Total cost = number of shares × offer price
Total cost = 150 × $18.96
Total cost = $2,844
For 100 shares of WHI Health:
Total cost = number of shares × offer price
Total cost = 100 × $20.96
Total cost = $2,096
Tracy's total investment is the sum of these two costs:
Total investment = $2,844 + $2,096
Total investment = $4,940.
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527 million people speak Spanish out of about 7,530 million people in the world. Find the percent who speak Spanish. Round to the nearest whole percent.
______% of people in the world speak Spanish.
PLEASE BE ACCURATE!!!THANK YOU!!:)
Answer:
To find the percentage of people in the world who speak Spanish, we can use the following formula:
percentage = (part/whole) x 100%
where "part" is the number of people who speak Spanish and "whole" is the total world population.
Substituting the given values, we get:
percentage = (527/7,530) x 100% ≈ 7.00%
Rounding to the nearest whole percent, we get that approximately 7% of people in the world speak Spanish.
Slope=4; goes through (-3,0)
The equation of the line with slope 4 that goes through the point (-3,0) is y = 4x + 12.
The equation of the line passing through the point (-3,0) with a slope of 4 can be found using the point-slope form of a line's equation:
y - y1 = m(x - x1)
where the provided point is (x1, y1), and m is the slope.
When we change the values, we obtain:
y - 0 = 4(x - (-3))
Making the right side simpler:
y = 4x + 12
Hence, y = 4x + 12 is the equation of the line with slope 4 passing through the point (-3,0).
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A certain sum of money lent out at simple interest amount RS.690 in 3 years and RS.750 at the end of the second year on the sum of amount. Which has to be lent
The principal amount lent out at simple interest is RS.690 in 3 years and RS.750 at the end of the second year RS.738.
To calculate the amount of money that needs to be lent out, use the following formula:
Amount = Principal * (1 + (Rate * Time))
Where:
Principal = 690
Rate = 0.05 (5% simple interest rate)
Time = 2 years
Therefore, the amount to be lent out is:
Amount = 690 * (1 + (0.05 * 2)) = 738
Therefore, the amount to be lent out is RS.738.
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The volume of a cone is 196π cubic feet. Its radius is 7 feet. Find the height
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=196\pi \\ r=7 \end{cases}\implies 196\pi =\cfrac{\pi (7)^2 h}{3}\implies 196\pi =\cfrac{49\pi h}{3} \\\\\\ \cfrac{3}{49\pi }\cdot 196\pi =h\implies 12=h[/tex]
what 59 407 rounded to the nearest hundredth
Answer:
59400
Step-by-step explanation:
59407
4 is the hundredth
0 is the number before 4 so it doesn't round up
so it's 59400
Answer:
59,400
Step-by-step explanation:
If it were 59,450 then it would be 59,500 but it is 59.407 witch would mean we are rounding down to 59,400
Mary has $400 in her bank account. She buys an iPad for $475. What is her account balance now?
Answer:
- 75.00
Step-by-step explanation:
400 - 475 = - 75
Helping in the name of Jesus.
Answer:
She's in debt $75
Step-by-step explanation:
475-400=-75
(a) If three letters are placed at random in three envelopes, what is the probability that exactly one letter will be placed in the correct envelope?
(b) If n letters are placed at random in n envelopes, what is the probability that exactly n−1 letters will be placed in the correct envelopes?
(a) The probability that exactly one letter will be placed in the correct envelope is 1/2.
(b) The probability that exactly n−1 letters will be placed in the correct envelopes is 0.
(a) There are three possible ways that one letter can be placed in the correct envelope (A in A, B in B, or C in C) and six total possible arrangements of the letters (ABC, ACB, BAC, BCA, CAB, CBA).
Solving for the probability:
P = 3/6 = 1/2
(b) If n−1 letters are placed in the correct envelopes, then the remaining letter must also be placed in the correct envelope, resulting in all n letters being placed in the correct envelopes. Therefore, it is impossible for exactly n−1 letters to be placed in the correct envelopes.
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#4:
Victoria is solving the equation x-3-4. Some
of her steps are shown below.
• equation 1: x-3=4 5
21
• equation 2:
2
3
X-3=
5
2
• equation 3: x-3+3=¹+3
21
5
Which statement correctly explains whether equation 3
in Victoria's work is valid in solving the equation?
It is not valid because because Victoria should subtract 3
instead of adding 3.
It is valid because -3+3=0.
It is not valid because Victoria did not also add 3 to
It is valid because because Victoria added the same amount
to each side of the equation.
The statement "It is valid because Victoria added the same amount to each side of the equation" correctly explains whether equation 3 in Victoria's work is valid in solving the equation.
What explanation is suitable?In equation 3, Victoria added 3 to both sides of the equation x-3=4/21. This operation is valid because she added the same amount (3) to both sides, which maintains the equality between the two sides of the equation. The resulting equation is x-3+3=4/21+3, which simplifies to x=4/21+63/21 or x=67/21.
Therefore, equation 3 is a valid step in solving the equation x-3=4/21.
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Mr. Reede would really lIke his laptimes to be conslstently between 1.75 and 1.85 minutes.
What proportion of his laps were In this range?
8. In what proportion of laptimes did it take| Mr. Reede More than 2 minutes?
9. What laptime Is necessary for Mr. Reede to be in the fastest 3% of all his laps (remember a
fast laptime Is a low laptime)?
10. Redo problems #6-9 using the Applet and record your answers here:
Question #6:
Question #7:
Questilon #6:
Question #9:
In order to answer these questions, we need to have data on Mr. Reede's laptimes. Without this information, it is impossible to accurately calculate the proportions and laptime necessary for Mr. Reede to be in the fastest 3% of all his laps. Please provide the data so that we can accurately answer the questions.
Once we have the data, we can use the following steps to answer the questions:
1. To find the proportion of laptimes between 1.75 and 1.85 minutes, we can count the number of laptimes in this range and divide it by the total number of laptimes.
2. To find the proportion of laptimes that took more than 2 minutes, we can count the number of laptimes that took more than 2 minutes and divide it by the total number of laptimes.
3. To find the laptime necessary for Mr. Reede to be in the fastest 3% of all his laps, we can first calculate the 97th percentile of the data (since the fastest 3% of laptimes would be in the top 3% of the data). Then, we can find the laptime that corresponds to this percentile.
4. To redo the problems using the Applet, we can input the data into the Applet and use the built-in functions to calculate the proportions and percentile.
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ler's Disease The projected number of people ag P(t)=-0.0002083(20)^(3)+0.0142(20)^(2)-0.099(20)+4.7
The projected number of people affected by Alzheimer's Disease at t=20 is 6.7336.
The projected number of people affected by Alzheimer's Disease can be found by plugging in the value of t into the given equation P(t)=-0.0002083(20)^(3)+0.0142(20)^(2)-0.099(20)+4.7.
Plug in the value of t=20 into the equation:
P(20)=-0.0002083(20)^(3)+0.0142(20)^(2)-0.099(20)+4.7
Simplify the equation by solving the exponents and multiplying the coefficients:
P(20)=-0.0002083(8000)+0.0142(400)-1.98+4.7
Simplify the equation further by performing the arithmetic operations:
P(20)=-1.6664+5.68+2.72
Simplify the equation to get the final answer:
P(20)=6.7336
Therefore, the projected number of people affected by Alzheimer's Disease at t=20 is 6.7336.
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In Exercises 57-60 \( \square \), write the given system of linear equations as a matrix equation. 57. \( \left\{\begin{array}{r}3 x+2 y=-1 \\ 7 x-y=\quad 2\end{array}\right. \)
The matrix equation for Exercise 57 is:
\[ \begin{bmatrix} 3 & 2 \\ 7 & -1 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} -1 \\ 2 \end{bmatrix} \]
In Exercise 57, we are asked to write the given system of linear equations as a matrix equation.
To do this, we need to separate the coefficients of the variables and the constants from the equations and write them in matrix form. The coefficients of the variables will form the coefficient matrix, and the constants will form the constant matrix.
The coefficient matrix will be a 2x2 matrix, with the first row containing the coefficients of x and y from the first equation, and the second row containing the coefficients of x and y from the second equation. The constant matrix will be a 2x1 matrix, with the first row containing the constant from the first equation, and the second row containing the constant from the second equation.
So, the matrix equation for the given system of linear equations will be:
\[ \begin{bmatrix} 3 & 2 \\ 7 & -1 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} -1 \\ 2 \end{bmatrix} \]
Therefore, the matrix equation for Exercise 57 is:
\[ \begin{bmatrix} 3 & 2 \\ 7 & -1 \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} -1 \\ 2 \end{bmatrix} \]
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A recipe calls for mixing 8/5 cups of blueberries and 7/5
cups of strawberries. The mix is divided equally among 18 items. What fraction of a cup is used for each item?
3 cups of fruit mix is divided equally among 18 items.
Each item will contain 1/6 cup of fruit mix.
How to find out what fraction of a cup is used for each item ?First we need to divide the total amount of fruit mix by the number of items.
The total amount of fruit mix is :
8/5 cups of blueberries + 7/5 cups of strawberries
= (8/5 + 7/5) cups
= 15/5 cups
= 3 cups
So, 3 cups of fruit mix is divided equally among 18 items.
To find the fraction of a cup used for each item, we need to divide 3 cups by 18:
Copy code
3 cups ÷ 18 = 1/6 cup
Therefore, each item will contain 1/6 cup of fruit mix.
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Jasper is an airline attendant. Last week, he worked on flights on 2 small jets and 5 large jets, which could seat a total of 531 passengers. The week before, he was assigned to flights on 5 small jets and 5 large jets, which could seat a total of 720 passengers. How many seats were on each type of flight?
The number of seats available in the small jets and large jet are 63 and 81 respectively.
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given that, Jasper noticed with 2 small jets and 5 large jets, which could seat a total of 531 passengers and 5 small jets and 5 large jets, which could seat a total of 720 passengers.
Let the number of seats available in the small jets and large jet be x and y,
Establishing the system of equations to solve,
2x+5y = 531......(i)
5x+5y = 720.......(ii)
Subtracting the equation (i) from eq(ii)
3x = 189
x = 63
Put x = 63
5(63)+5y = 720
5y = 405
y = 81
Hence, the number of seats available in the small jets and large jet are 63 and 81 respectively.
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Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)
Answer is in a picture, so zoom in!
But overall, the answer is below!
The length of a rectangle is twice its width. Find its area if its perimeter is 7 1/3 cm.
please help ive been stuck on this for a day tyy !!
Answer:
Let's start by using the information given in the problem to write an equation for the perimeter of the rectangle:
Perimeter = 2(length + width)
We know that the length of the rectangle is twice its width, so we can write:
length = 2*width
Substituting this expression into the equation for the perimeter, we get:
Perimeter = 2(2*width + width)
Simplifying this expression, we get:
Perimeter = 6*width
We are given that the perimeter is 7 1/3 cm, which we can convert to a mixed number:
Perimeter = 7 + 1/3 = 22/3
Substituting this value into the equation above, we get:
22/3 = 6*width
Solving for the width, we get:
width = 22/3 ÷ 6 = 11/9
Now that we have the width, we can use the expression for the length to find its value:
length = 2*width = 2(11/9) = 22/9
Finally, we can use the formula for the area of a rectangle, A = length * width, to find the area:
A = (22/9) * (11/9) = 242/81 square cm
Therefore, the area of the rectangle is 242/81 square cm.
In 2001, a school population was 1138. By 2008 the population had grown to 1691. 1) How much did the population grow between the year 20001 and 2008?__ students 2) How long did it take the population to grow from 1138 students to 1691 students? __years 3) What is the average population growth per year? 4) What was the population in the year 2000 ? __students 5) Find an equation for the population, P, of the school t years after 2000 . P= ?
6) Using your equation, predict the population of the school in 2012?__ students
The predicted population of the school in 2012 is P = 1060 + 78.14(12) = 2002.68 students. We can round this up to 2003 students.
1. The population grew by _____students.
The population in 2001 was 1138 students, and in 2008, it had risen to 1691 students. Therefore, the population increased by 1691-1138 = 553 students.
2. The population took _____ years to grow from 1138 students to 1691 students.
From the year 2001 to the year 2008, the population increased from 1138 to 1691 students. The number of years it took for this growth is 2008-2001 = 7 years.
3. The average population growth per year is _____ students per year.
To obtain the average growth rate per year, divide the total growth in the population by the number of years between the starting year and the ending year. Therefore, the average population growth per year = (1691 - 1138) / 7 = 78.14 students per year.
4. The population in the year 2000 was _____ students.
Since the population was given for the year 2001, we'll have to work our way backward to find the population in the year 2000. It took 7 years for the population to increase from 1138 to 1691, so if we go back another year, we'll have to subtract the average yearly growth rate, which is 78.14 students. Therefore, the population in 2000 = 1138 - 78.14 = 1059.86 students, which we can round up to 1060 students.
5. An equation for the population P of the school t years after 2000 is P = _____.
We can use the formula for linear growth to determine the population of the school t years after 2000. The formula is P = P0 + rt, where P0 is the initial population (in the year 2000), r is the average annual growth rate, and t is the number of years. Therefore, the equation for the population P of the school t years after 2000 is P = 1060 + 78.14t.
6. The predicted population of the school in 2012 is _____ students.
To predict the population of the school in 2012 using the equation, we need to substitute t = 12 - 2000 = 12 into the equation we derived in part 5. Therefore, the predicted population of the school in 2012 is P = 1060 + 78.14(12) = 2002.68 students. We can round this up to 2003 students.
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Consider the regression equation » = 11.05 + 0.78x, that is estimated using a sample of 202 observations and where the standard error of the slope coefficient is 0.43. Which of
the following statements is true regarding the statistical significance of the slope
coefficient?
A. None of the above
B. It is significant at the 10% level
C. It is significant at the 5% level
D. It is significant at the 1% level
E. All of the above
The correct answer is C. It is significant at the 5% level.
To determine the statistical significance of the slope coefficient, we need to calculate the t-statistic for the slope coefficient and compare it to the critical value for the desired level of significance.
The t-statistic is calculated as:
t = (slope coefficient - hypothesized value) / standard error of the slope coefficient
In this case, the hypothesized value is 0 (no relationship between x and y) and the standard error of the slope coefficient is 0.43. So the t-statistic is:
t = (0.78 - 0) / 0.43 = 1.81
Now we need to compare this t-statistic to the critical value for the desired level of significance. For a two-tailed test with 202 - 2 = 200 degrees of freedom, the critical values are:
- 1.645 for the 10% level
- 1.96 for the 5% level
- 2.576 for the 1% level
Since the t-statistic (1.81) is greater than the critical value for the 10% level (1.645) but less than the critical value for the 5% level (1.96), we can conclude that the slope coefficient is significant at the 10% level but not at the 5% level. Therefore, the correct answer is B. It is significant at the 10% level.
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