UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13). The Director of Institutional Research at UCF is interested in testing this information. She decides to conduct a survey of 50 randomly selected recent graduate economic students. The sample mean is $43,350 and the sample standard deviation is 15,000. Alpha = 0.01
Answer:
There is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.
Step-by-step explanation:
In this case we need to test whether the mean starting salary of a graduate with a bachelor in economics is $48,500.
The information provided are:
[tex]\bar x=\$43350\\s=\$15000\\n=50\\\alpha =0.01[/tex]
The hypothesis for the test can be defined as follows:
H₀: The mean starting salary of a graduate with a bachelor in economics is $48,500, i.e. μ = 48500.
Hₐ: The mean starting salary of a graduate with a bachelor in economics is different from $48,500, i.e. μ ≠ 48500.
As the population standard deviation is not known we will use a t-test for single mean.
Compute the test statistic value as follows:
[tex]t=\frac{\bar x-\mu}{s/\sqrt{n}}[/tex]
[tex]=\frac{43350-48500}{15000/\sqrt{50}}\\\\=-2.42773\\\\\approx -2.43[/tex]
Thus, the test statistic value is -2.43.
Compute the p-value of the test as follows:
[tex]p-value=2\times P(t_{49}>-2.43)=0.0188[/tex]
*Use a t-table.
Thus, the p-value of the test is 0.0188.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
p-value = 0.0188 > α = 0.01
The null hypothesis will not be rejected at 1% level of significance.
Thus, concluding that there is not enough evidence to suggest that mean starting salary of a graduate with a bachelor in economics is different from $48,500.
Express 610.47 in unit form.
Answer:
6 hundreds
1 tens
0 ones
4 tenths
7 hundredths
In ΔTUV, t = 69 inches, u = 74 inches and v=14 inches. Find the measure of ∠T to the nearest degree.
Answer:64
Step-by-step explanation:
comment section
Answer:
64
Step-by-step explanation:
I need 9 and 10 plzzzz
Find the value of the variable(s) in each figure. Explain your reasoning.
9.
10.
다
x - 10)
(2x - 15)
1042
(x + 55)
Answer:
9.
x-10 = 104
x = 104 + 10 = 114
10.
2x-15 = x + 55
2x - x = 55 +15
x = 70
HELP ME PLSSS SOMEONE HELPP ILL GIVE BRAINLIEST
tom sold 3 cars ( a total value of $112,500) in the month of january. it is paid only by commission for its seller. he receives a commission of 7%. what is tom’s salary for the month of january?
Answer:
First multiply 112,500 times 3 (because of the 3 cars) answer should be $337,500
Then do the percentage (7%) $23,625
I believe that 23625 is the answerrr
10p+5=18p–6/2 what is the value of p?
Answer:
p = 1
Step-by-step explanation:
10p + 5 = 18p - 6/2
(given)
______________
10p + 5 = 18p - 6/2
+6/2 +6/2
(addition property of equality)
_______________________
10p + 8 = 18p
-10p -10p
(subtraction property of equality
_________________________
8 = 8p
÷8 ÷8
(division property of equality)
______________________
1 = p
(symmetric property of equality)
___
p = 1
Please answer this correctly without making mistakes
Answer:
the answser is 8%.
If (2"x3mx83x90)/(15x162X912 # 48. then (m, n) is:
N
Answer:
pet for sale
Step-by-step explanation:
soory pls mark me brainbelela
Determine whether the ordered pair (coordinate) is a solution to the inequality.
2. 2x + 3y > -8,
(3,-6)
Answer:
The ordered pair is not a solution to the inequality.
Step-by-step explanation:
Given expression;
Inequality :
2x + 3y > -8
Ordered coordinate pair = (3, -6)
Solution:
If the ordered pair is a solution of the inequality, then it must be true that expression on the left -hand side is greater than -8;
So, the values we get on the right-hand side should be -7, -6 on and on.
x = 3 and y = -6
Input the parameters into the inequality;
2(3) + 3(-6)
= 6 - 18
= -12
-12 is less than -8 and this is not correct for the expression.
The ordered pair is not a solution to the inequality.
Determine the slope and y intercept please answer 4y+20=x . 17 points
Answer:
the slope is m= [tex]\frac{1}{4}[/tex] and the y-intercept is: (0, -5)
Step-by-step explanation:
hope this helps! <3
whay is called when there is a difference between what one expects to happen and what actually happens
O metaphor
O symbolism
O personification
O irony
Answer:
I do believe it is irony
Samantha’s parents give her $10 per week. For each chore that she does not complete, she must repay her parents $1. Which graph models Samantha’s allowance?
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 9).
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (2, 12).
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (1, 6) and (1.5, 16).
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 0).
Answer:
A graph titled Samantha's Allowance has chores not completed on the x-axis and amount earned on the y-axis. A line goes through points (0, 10) and (1, 9).
Step-by-step explanation:
If she starts (at zero) with $10, that will be the y-intercept (0, 10)
That eliminates one option
Now if she were to not complete her chore, her y value will go down by one
At the same time she does not complete one, her x value will go up
This is because the y value represents money earned while the x value is for chores not completed
That being said, the coordinates should look like this:
(1, 9)
(2, 8)
(3, 7)
(4, 6)
(5, 5)
(6, 4)
(7, 3)
(8, 2)
(9, 1)
(10, 0)
And so on..
(1, 9) matches with the first problem so that is the answer
Answer:
so the answer is a if you didnt understand the other one
Step-by-step explanation:
help please i need helpp
Choose all the lines that are parallel to the line pictured in the graph bellow.
Answer:
a. y = -½x
b. y = -½x + 3
c. 2y = -x - 4
e. x + 2y = 8
Step-by-step explanation:
Parallel lines have the same slope. Therefore, the lines that will be parallel to the given line on the graph would have the same slope as the line of the graph.
First, find the slope of the line on the graph:
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use the coordinates of any two points on the line. Let's use (-4, 0) and (0, -2)
[tex] m = \frac{-2 - 0}{0 -(-4)} = \frac{-2}{4} = -\frac{1}{2} [/tex]
Slope of the line on the graph is -½.
Check each given line equation, ensure they are in the slope-intercept form and find out if the value of their slope is the same as -½.
Slope-intercept form is given as y = mx + b, where, m = slope.
Option 1: y = -½x
The slope of this line is -½, therefore it is parallel to the line on the graph.
Option 2: y = -½x + 3
The slope of this line is also -½, therefore it is parallel to the line on the graph.
Option 3: 2y = -x - 4
Rewrite in slope-intercept form.
y = -x/2 - 4/2
y = -½x - 2
The slope of this line is -½, therefore it is parallel to the line on the graph.
Option 4: y = 2x - 5.
The slope of this line is 2, therefore it is NOT parallel to the line on the graph.
Option 5: x + 2y = 8
Rewrite in slope-intercept form.
2y = 8 - x
y = 8/2 - x/2
y = 4 - ½x
The slope of this line is -½, therefore it is parallel to the line on the graph.
A particle travels along the x axis such that it’s position at time t is given by the function x(t)=2t+t. What is the average speed of this particle over the interval 2
The required average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is 32 meters/second.
Given that,
A particle travels along the x-axis such that its position at time t is given by,
Function; [tex]\rm x(t)=2t^2+t[/tex]
We have to find,
What is the average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10?
According to the question,
The position of the particle is given by,
[tex]\rm x(t)=2t^2+t[/tex]
The average speed of this particle is determined by differentiating the function with respect to x,
[tex]\rm \dfrac{dx}{dt} = \dfrac{d(2t^2+t)}{dx}\\\\\dfrac{dx}{dt} = 4t + 1 \\\\v(t) = 4t+1[/tex]
Then,
The average speed of the particle over interval 2 is,
[tex]\rm v(t) = 4t+1 \\\\v(2) = 4(2)+1\\\\v(2) = 8+1 \\\\v(2) = 9 \ meter \ per \ second[/tex]
And the average speed of the particle over interval 10 is,
[tex]\rm v(t) = 4t+1 \\\\v(10) = 4(10)+1\\\\v(10) = 40+1 \\\\v(10) = 41 \ meter \ per \ second[/tex]
Therefore,
The average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is,
[tex]\rm v(t) = v(10)-v(2)\\\\v(t) = 41-9\\\\v(t)= 32 \ meter \ per \ second[/tex]
Hence, The required average speed of this particle over interval 2 is less than or equal to t which is less than or equal to 10 is 32 meters/second.
For more details refer to the link given below.
https://brainly.com/question/2292357
Answer:
Very basically, the answer is 3
Step-by-step explanation:
Know this cause Edge 2023
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Answer:
it is already an equation
Step-by-step explanation:
Answer:
Already and equation!
Step-by-step explanation:
Does this set of ordered pairs represent a function? Why or why not? -1,5), (0, -3), (2, 7), (4,0), (7, 5)) A. No, because two of the y-values are the same. OB. Yes, because there are two xvalues that are the same. OC. Yes, because every xvalue corresponds to exactly one yvalue D. No, because one xvalue corresponds to two different values.
Answer:
C.
Step-by-step explanation:
All the x-values are different and go to one y-value.
Yes this set of ordered pairs represent a function because every x value corresponds to exactly one y value
What are ordered pairs in sets?A function f from a set A to a set B is a set of ordered pairs {(x, y)} such that x in the set A and y is the in the B. For every x ∈ A there is exactly one y ∈ B such that (x, y) is an ordered pair in f. We call this element f(x). We call A the domain and we call B the range.
How do you determine if a set of ordered pairs are functions?A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function.
According to the question
Set of ordered pairs represent a function :
(-1,5), (0, -3), (2, 7), (4,0), (7, 5)
As we can observe that every point have different x value for there respective y ,
and A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.
Hence, Yes, this set of ordered pairs represent a function because every x value corresponds to exactly one y value
To know more about ordered pairs in sets here:
https://brainly.com/question/12941484
#SPJ2
what’s 3/4 of 2/5 ?
** I WILL MAKE UP BRAIN LIST OR SOMETHING
Answer:
[tex] \frac{3}{10} [/tex]
Step-by-step explanation:
[tex] = \frac{3}{4} \times \frac{2}{5} [/tex]
[tex] = \frac{3 \times 2}{4 \times 5} [/tex]
[tex] = \frac{6}{20} [/tex]
[tex] = \frac{6 \div 2}{20 \div 2} [/tex]
[tex] = \frac{3}{10} [/tex]
Answer:
[tex] \frac{3}{10} [/tex]
Step-by-step explanation:
This is a shorter explanation. It's better to use this if you are good at maths or in a higher level.
[tex] \frac{3}{4} \times \frac{2}{5} [/tex]
[tex] = \frac{6}{20} [/tex]
[tex] = \frac{3}{10} [/tex]
That's it.
PLZZ ANSWER THE QUESTION
Answer:
c
Step-by-step explanation:
y = mx + b
”m” is the slope, so the slope is -2
”b” is the y - intercept, so the y - intercept is (0 , 1)
An Uber driver charges $5.00 for each trip plus $2.75 per mile. Which equation best fits the total charges?
Answer:
y=2.75x+5.00
Step-by-step explanation:
x=miles y=cost
Caleb earns $2 for each package delivery he makes in addition to $65 per day. He wants to earn more than $87 each day. Use the inequality 2+65≥87 to determine how many packages, p, Caleb must deliver each day. are made of living cells?
Answer:
Caleb must deliver at least 11 packages a day
P=11
Whích table corresponds to the equation y = - 3x - 2
Answer:
Step-by-step explanation:
a stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s
Answer:
23.7m
Step-by-step explanation:
Given parameters:
Time taken = 2.2s
Acceleration due to gravity = 10m/s
Unknown:
Depth of the well = ?
Solution:
To solve this problem, we simply apply one of the motion equations;
S = ut + [tex]\frac{1}{2}[/tex] gt²
where S = depth of the well
u = initial velocity
t = time taken
g = acceleration due to gravity
Input the parameters and solve for S;
Note initial velocity = 0;
S = [tex]\frac{1}{2}[/tex] x 9.8 x 2.2²
S = 23.7m
Pls help it’s due todY
HAHA it was due yesterday! Hopefully you can still use my help *muffles cry laugh* answer is 2 tell me if im wrong bc im not 100% sure on this one. plz mark me brainliest, give me 5 stars, and thank meeee
Angelina put 3,000 milliliters of water in a tub that alredy has 5 liters of water in it. Jack says the tub now has 35 liters of water in it Angelina says he is wrong carry out your steps explain who is correct and why helpppppp please
Answer:
jack is wrong
Step-by-step explanation:
Jack is wrong because 3,000 milliliters is equal to 3 liters. If the tub already has 5 liters in it, adding 3 liters makes the tub have 8,000 liters. Angelina is correct when she says Jack is wrong.
Can someone please help me, ty!! (Will mark brainliest)
Answer:
im gonna say 4 if im wrong its my fault
GIVING 75 POINTS
Solve the equation from Part C so that y is by itself on one side of the equation. How are this equation and the equation of the line related? What does this relationship mean about any triangle created using this line?
Part C ---- For similar triangles, the side lengths are proportional. So, you can write a proportion relating the two pairs of vertical and horizontal side lengths. For the line y = 2x, a triangle can be drawn 2 units up and 1 unit right from the origin.
Write a proportion relating the side lengths of the triangle to any other triangle that has the line as a hypotenuse, a horizontal length of x units, and a vertical length of y units.
Answer:
This is my answer,
Step-by-step explanation:
The equation is y=2x, and the horizontal line will always be half of the vertical line (1:2). We can prove this by plugging in y or x. For example, if y is 12, 12=2x. X would equal six.
According to the US Bureau of Labor statistics, the average weekly earning of a production worker in 1997 were $424.5. Suppose a labor researcher wants to test to determine whether this figure is still accurate today .The researcher randomly selected 54 production workers from across the United States and obtained a representative earning statement for one week from each. The resulting sample average is $432.69. Assuming population Standard deviation is 33.90. and a 5% level of significance, To determine whether the mean weekly earnings of the production worker have changed.
Required:
To determine whether the mean weekly earnings of the production worker have changed, what would be the value of test statistics?
Answer:
test statistic is 1.775
Step-by-step explanation:
Bar x = 432.69
Standard deviation sd = 33.90
N = 54 production workers
Null hypothesis:
H0: μ = 424.5
Alternate hypothesis
H1: μ not equal to 424.5
Test statistic
= 432.69-424.5/sd/√n
= 8.19/33.9/√54
= 8.19/33.9/7.348
8.19/4.6135
= 1.7752
This is the value of our test statistic
When we test this with level of significance 0.05
Critical value z = 1.96
So we conclude that we do not have enough evidence to reject null hypothesis so we accept null and say mean weekly earnings have not changed
The graph of a quadratic function with vertex (3,2) is shown in the figure below.
Find the domain and the range.
Answer:
Domain=All Real Numbers Range=y>2
Step-by-step explanation:
Since the graph expands infinitely across the x axis it is all real numbers
Since the Y covers all the numbers above 2 it is y>2
Which of the following ordered pairs is a solution to the graph below
(0,-4)
(-2,-6)
(8,0)
(-2,0)
Answer:
(-2, -6)Step-by-step explanation:
Graphed is the system of inequalities
The solution of the system is the darker shaded area
Only one of the given points falls to same area:
(-2, -6)the one of the given point falls to same area ;
=> (-2,-6) The required answer is (-2,-6)