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.
¿Cuál es la desigualdad de 3 x - 4> 4-4-3 x
A study was being conducted about birth weights of babies at a local hospital and found the average to be 7.6 pounds with a standard deviation of 1.3 pounds (the distribution was approximately normal). Many pre-mature births weights are in the lowest 1% of births. What would be the birth weight associated with the lowest 1%?
Answer:
The birth weight associated with the lowest 1% is 4.6 pounds.
Step-by-step explanation:
Let X represent the birth weights of babies.
It is provided that [tex]X\sim N(7.6,1.3^{2})[/tex]
It is also provided that many pre-mature births weights are in the lowest 1% of births.
Let x represent the births weights that are in the lowest 1% of births.
That is, P (X < x) = 0.01.
⇒ P (Z < z) = 0.01
The corresponding z-score is, z = -2.33.
Compute the value of x as follows:
[tex]z=\frac{s-\mu}{\sigma}\\\\-2.33=\frac{x-7.6}{1.3}\\\\x=7.6-(1.3\times 2.33)\\\\x=4.571\\\\x\approx 4.6[/tex]
Thus, the birth weight associated with the lowest 1% is 4.6 pounds.
What line is perpendicular to y=2/7x+11/7 travel through (-3,8)
Answer:
2y- 16 = 7x + 21
Step-by-step explanation:
Y= mX+ c
y = (2/7)x + 11/7
m= gradient= 2/7
The perpendicular gradient should be the negative reciprocal of the gradient we have now.
which is : -1÷(2/7) = -7/2
Now for the perpendicular line equation, we have:
y = 8x= -3m= 7/2y - y1 = m ( x - x1 )
y - 8 = 7/2 ( x + 3 )
2y - 16 = 7x + 21
Which equation represents the graphed function?
O y=-2x + 3
O y = 2x + 3
O y=*+3
O y=-*x+3
Answer: y= -2x + 3
Step-by-step explanation:
Find the coordinates of the midpoint of LB if L(8, 5) and B(-6, 2)
Answer:
The coordinates of the midpoint of LB are (1, 3.5)
Step-by-step explanation:
The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is [tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
Let us use this rule to solve the question
∵ M is the midpoint of segment LB
∵ The coordinates of point L are (8, 5)
∴ x1 = 8 and y1 = 5
∵ The coordinates of point B are (-6, 2)
∴ x2 = -6 and y2 = 2
→ Substitute these values in the rule of the mid point above
∵ [tex]M=(\frac{8+-6}{2},\frac{5+2}{2})[/tex]
→ Remember (+)(-) = (-)
∴ [tex]M=(\frac{8-6}{2},\frac{7}{2})[/tex]
∴ [tex]M=(\frac{2}{2},\frac{7}{2})[/tex]
∴ M = (1, 3.5)
∴ The coordinates of the midpoint of LB are (1, 3.5)
PLEASE HELP ME What is the amount of rain fall for the 1M 6 months of the year in Kennedale Texas
Arlington Texas Rainfall Amounts
Month
January
February
March
April
May
June
Rainfall Amount
+0.5 inches
-1.26 inches
+0.32 inches
+3.71 inches
- 1.27 inches
-2.40 Inches
A 2 inches
B. -0.4 inches
C 0.8 inches
D. -1.3 inches
Loo
Answer:
.5
Step-by-step explanation:
Please help me if you know it thank you so much
Answer:
a) 9 beats
b) 9 beats per minute
c) y=9x
d) 180 times
What is:
6t-2/4 + 4 (t+1) when t=5
Answer:
2 /20t+7
Step-by-step explanation:
I don’t understand this
Answer:
9 to the 5th power
Step-by-
Answer:
n=5 I think...
Step-by-step explanation:
9^7/9^n = 9^2
Multiply by (n)
9^7-n = 9^2
7-n=2
7-n=2: n=5
-n=-5
Simplify:
n=5
If TSP and PSW are supplementary, and TSP is two times as large as mPSW, what is mTSP?
Answer:
[tex]\huge\boxed{120 \textdegree}[/tex]
Step-by-step explanation:
In order to solve for m∠TSP, we can use basic angle relationships and equations.
Let’s assume m∠PSW is [tex]x[/tex]°
We know that if two angles are supplementary, their angle lengths will add to 180°.
We also know that m∠TSP is twice as large as PSW. Since PSW is represented as x°, TSP will be 2x°.
We can add these two angles together and get 180°. Then you can solve for x (PSW)
[tex]x+2x=180[/tex] [tex]3x=180[/tex] [tex]x=60[/tex]So we know that x (PSW) is 60°. However, the question asks for the measure of TSP. We know that TSP is twice as large as PSW, so we can multiply PSW (60) by 2.
[tex]60 \cdot 2 = 120[/tex]
So m∠TSP is 120°.
Hope this helped!
5) Kareem Abdul-Jabbar holds the NBA record for the most points scored in a
career, 38,387. In the first 280games of his career, LeBron James has scored 7446
points. At this rate, how many more games willLeBron James need to play to
break Abdul-Jabbar's career record?
Answer:
Step-by-step explanation:
LeBron James need to play to 1444 games to break Abdul-Jabbar's career record.
What is rate of change?A rate of change is a rate that describes how one quantity changes in relation to other.
Given world record Kareem Abdul-Jabbar = 38,387 points.
Games played by LeBron = 280 games
Score of LeBron = 7446 points
Hence for each point LeBron has to play = 280/7446 games
Therefore to break the world record number of games required
= (280*38,387)/7446
number of games required = 1443.5
or, number of games required = 1444
Hence,at this rate LeBron James need to play to 1444 games to break Abdul-Jabbar's career record.
More about Rate of change :
https://brainly.com/question/13715523
#SPJ2
What is the result of 4 divided by StartFraction 8 Over 12 EndFraction?
4 boxes of 12 squares
One-sixth
StartFraction 3 Over 8 EndFraction
3
6
Answer:
the answer is 1/6
i got it right edg 2020
Step-by-step explanation:
dont come at me because we had the same answer
Answer: 1/6
Step-by-step explanation:
NEED HELP ASAP!! RESPOND AS QUICK AS POSSIBLE!!!
Tell me what the answer is for these 3 questions
Answer:
First one: y-intercept = 1
ordered pair: (0,1)
Second one: y-intercept = -1
ordered pair: (0,-1)
Third one: y-intercept = 4
ordered pair: (0,4)
Answer:
1. y=1, (0,1)
2. y=-1, (0,-1)
3. y=4, (0,4)
Step-by-step explanation:
The y-intercept is the line crossing the y-axis
(0, number here that cross y-axis)
1. y=1, (0,1)
2. y=-1, (0,-1)
3. y=4, (0,4)
if m<2 = 115 degrees what is m<1 ? (There you go)
Answer:
65
Step-by-step explanation:
180 - 115 = 65
This is the easiest way to think about and do it but your teacher might want you to do it a different way.
Answer:
65
Step-by-step explanation:
you just purchased new tennis shoes for basketball for $99 the cost for washing will be $2.00. you will wear them 110 times between basketball practice and games. what is the cost per wearing?
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
Always, Sometimes, or Never?
5x>0
Answer:
Sometimes
Step-by-step explanation:
Complete the ordered pair for both equation. Will give brainiest
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
So if you know that order pairs go like (x,y) that means that the 12 in (12,y) is the x so if we plug into the equation we can get y...
[tex]y=\frac{2}{3} (12)+ 5\\y=8+5\\y=13[/tex]
So the order pair is (12, 13).
Now for the next one it's the same concept but this time we'll plug in for y because the -2 is in the (x, y) so we have to find the x...
[tex]5x-9(-2)=3\\5x+18=3\\5x=-15\\x=-3[/tex]
So the order pair is (-3, -2).
a) cual es la resistencia equivalente de todo el circuito
B) cual es la corriente I de la bateria
(2a²b) (6ab) =
Exponents
Answer:
The answer is (2a²b)(6ab)=12a³b².
10) Sarah is 3 years older than her sister Mary.
Together their ages add up to 23. How old is Mary?
Answer:
20
Step-by-step explanation:
20 - 3
Sarah is 3 years older so 23 is going to be subtracted.
which of the rolling values are solutions to the inequality , ILL MARK BRAINLIST
Answer:
I believe it is 1 and 3 only. (I & III only)
Step-by-step explanation:
5(-1) = -5
-5 - 10 is less than -5, so I is true.
5(9) = 45
45-10 is not less than -5, so II is false.
5(1) =5
5-10 is equal to -5, so III is true.
Answer:
I. and III.
Step-by-step explanation:
5x - 10 ≤ -5
I. -1
5(-1) - 10 ≤ -5
-5 - 10 ≤ -5
-15 ≤ -5
-15 is less or equal to -5, thus I. is an option
II. 9
5(9) - 10 ≤ -5
45 - 10 ≤ -5
35 ≤ -5
35 is not less or equal to -5, thus II. is not an option
III. 1
5(1) - 10 ≤ -5
5 - 10 ≤ -5
-5 ≤ -5
-5 is less or equal to -5, thus III. is an option
Can you simplify -6/0 ?
Answer:
It can also be termed as "undefined".
Step-by-step explanation:
Hope that this post has helped you out in some way! :)
Which table has a constant of proportionality between y and x of 0.3
when you multiply the x number in the table c by 0.3 you get the same answer as the one in the y column. The constant of proportionality is the value that stays constant in the ratio. Since when you multiply each number in the x column by 0.3 and you always get the number in the y column it shows that the table c is correct.
A shoe company distributed 4,528 boxes of shoes equally among 4 different stores. How many boxes of shoes did each store receive?
Answer:
1,132
Step-by-step explanation:
4,528÷4=1,132ooooo
What is |5 x -3|?
-15
⊝
-8
⊝
15
⊝
8
Answer:
Step-by-step explanation:
Gfggg
Find the slope of the line going through the points
(7,13) and (7,6). Write your answer in simplest
form. If the slope is undefined, write "undefined".
Answer:
Dont ask me
Step-by-step explanation:
Okay!!!!!
Which point is located at (-1,3)?
Answer:
C
Step-by-step explanation:
1 back, 3 up.
heather has red and green pens in her stationery cupboard. the ratio of green pens to the total number of pens is 4:11
what fraction of heathers pens are green
what is the ratio of green pens to red pens
heather has 56 red pens. how many green pens does she have
Step-by-step explanation:
Pen colors given = Red and green
Ratio;
Green pen : Total pen
4 : 11
Solution:
1. what fraction of heathers pens are green;
Fraction = [tex]\frac{green pen}{total pen}[/tex] = [tex]\frac{4}{11}[/tex]
2. Ratio of green pens to red pens:
let the multiples = x
Green pen Red pen Total pen
4x ? 11x
Red pen = 11x - 4x = 7x
Ratio of green pen to red pen:
4 : 7
3. heather has 56 red pens. how many green pens does she have
Number of red pen = 56;
Number of green pens = ?
Since the ratio is;
4 : 7
Number of green pen = [tex]\frac{56 x 4}{7}[/tex] = 32
mass and weight math
Answer: There is 10,000 ug in 1 cg
If I was asked to think of a number and multiply it by 2, I could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, multiply it by 2, subtract 3 and multiply the result by 4.
Answer:
4(2x-3)
Step-by-step explanation:
Answer:
4 x (2x-3)
I hope it helps
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