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.
Date:10/16/20
1. The largest river in the world is the Nile River. It is 4,132 miles long. The
longest river in the United States is the Missouri River. It is 2,540 miles long.
Which is the best estimate of the difference in the lengths of the Nile and
the Missouri rivers?
a. 1,000 miles
b. 1,600 miles
c. 2,000 miles
d. 6,600 miles
2. Each year, the NYC Humane Society works to raise as much money as
possible for the animal shelters. Last month, they raised $14,392 from donations
and $456,892 from pet adoptions. About how much money did they raise
altogether?
the answer to 1 is d and the answer to 2 is 471,284. Please review this topic when you get time.hope this helps
Define cross-multiplication property
Answer: Not to be confused with Cross product.
In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.
The method is also occasionally known as the "cross your heart" method because a heart can be drawn to remember which things to multiply together and the lines resemble a heart outline.
to be proportional, there must be a constant of proportionality
true or false
Answer:
True
Step-by-step explanation:
There must be a constant of proportionality.
Hope this helps!
PLEASE HELP ASAP ITS DUE SOON
Lines R and S are parallel Find the value of x, then find the measure of m<1 and m<2.
m<1=(70-2x)"
m<2 = (82-3x)
x=
m<1=
m<2=
m<1 and m<2 are corresponding angle
Answer:
im very confused aadly
4- La probabilidad que llueva el 3 de mayo en El Salvador es de 50% y la probabilidad
que llueva el 3 y 4 de mayo es 40%. Si llovió el 3 de mayo, ¿cuál es la probabilidad que
llueva el 4 de mayo?
O a) 40%
b) 80%
c) 9096
d) 10096
Answer:
80%
Step-by-step explanation:
Deje que el evento de que lloverá el 3 de mayo sea A y el evento de que lloverá el 4 de mayo sea B.
P (A) = 50% = 0,5
P (B) =?
P (A n B) = 40% = 0,4
Para encontrar la probabilidad de B,
aplicamos el uso de la probabilidad de Bayes
P (B | A) = P (A n B) / P (A) = 40% / 50% = 40/50 = 0,8 o 80%
Por definición de probabilidad condicional, la opción correcta es opción b): si llovió el 3 de mayo, la probabilidad que llueva el 4 de mayo es 80%.
En primer lugar, debes saber que la Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso.
En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles.
En este caso, se llama suceso A al evento de que llueva el 3 de mayo en El Salvador, mientras que el suceso B será el evento de que llueva el 4 de mayo en El Salvador.
Siendo el suceso A∩B (A intersección B) cuando A y B ocurren simultáneamente, entonces:
P(A)= 50%=0,5P(A∩B)= 40%=0,4Por otro lado, la probabilidad condicional P(A|B) es la probabilidad de que ocurra un evento A, sabiendo que también sucede otro evento B. Esto es, es la probabilidad de que ocurra el suceso A si ha ocurrido el suceso B. Se define como:
P(A|B) = P(A∩B)÷ P(B)
En este caso, si llovió el 3 de mayo, deseas conocer la probabilidad que llueva el 4 de mayo. Entonces la probabilidad condicional a conocer es:
P(B|A) = P(A∩B)÷ P(A)
Entonces:
P(B|A) = 0,4÷ 0,5
P(B|A) = 0,8= 80%
Finalmente, la opción correcta es opción b): si llovió el 3 de mayo, la probabilidad que llueva el 4 de mayo es 80%.
Aprende más:
https://brainly.com/question/24290732?referrer=searchResultshelp with math, please
will give 100 points
Answer: y=x10
Step-by-step explanation:
help I need the answers immediately
The answer is Q.
Do you need explanation?
does anyone know the answer to this question?
consider the sequence below. What are the next three terms in the sequence?
3, 7, 11, 15,....
Ben drinks water everyday. He drinks 3 1/2 liters of water every 1/4 of an hour. Ben drinks water at a constant rate. How many liters of water can Ben drink in 3 hours?
Ben drinks 3 1/2 liters of tea every 40 minutes.
This means that he would drink 1 3/4 of tea every 20 minutes (divide both sides by 2).
Now, let's multiply each side by 3.
1.75 * 3 = 5.25 (aka 5 1/4)
20 * 3 = 60 minutes (an hour)
He drinks 5 1/4 liters of tea in one hour.
Answer:
42 liters
Step-by-step explanation:
3.5x4=14 in 1 hour
14x3=42liters in 3 hours
How many times greater is the product of 4 x 300 than the product 4 x 30
Answer:
10 times bigger
Step-by-step explanation:
because if you do 4 times 300 thats 1200
and if you do 4 times 30 then you get 120
and 120 times 10 is 1200 so there you go.
HOPED THIS HELPED!!!!!!!!! :D
If lim f(x)=5 g(x)=0 and h(x)=-2 then find (3h/2f+g)(x)
Answer:
B
Step-by-step explanation:
edg 2021 unit test review
George is making an xylophone. So far, he has bars that are 1.75 feet, 1 and 7/12 feet, and 1 2/3 feet long. What is the length of the longest bar.
On an architect's blueprint, 1 inch corresponds to 2 feet. Find the length of a wall represented by a line 2 1/2 inches long on the blueprint
PLZ HURRY IT'S URGENT!!!
What is the slope of the line? y=x−5
options:
undefined
1
0
-5
Answer:
1
Step-by-step explanation:
Find the limit
(calculus)
Answer:
0
Step-by-step explanation:
Step 1: Define
[tex]\lim_{x \to \infty} e^{x-x^2}[/tex]
Step 2: Substitute in infinity
[tex]\lim_{x \to \infty} e^{\infty-\infty^2}[/tex]
We know that the second exponent is always going to be bigger than the 1st exponent, so we would get a negative exponent.
[tex]\lim_{x \to \infty} e^{-\infty}[/tex]
We can simplify a negative exponent into a fraction.
[tex]\lim_{x \to \infty} \frac{1}{e^{\infty}}[/tex]
We know that if we keep plugging in larger numbers for x, the denominator is going to be infinitely big. And bigger the number we are dividing by, the smaller the entire fraction is going to be.
Therefore, we would be approaching 0.
Line segment YZ was used to translate A B CDE. YZ is 6.9 inches long. What is the length of
A A ' + B B ' + C C ' + DD' + E E '?
The length of A A ' + B B ' + C C ' + DD' + E E ' is inches.
Answer:
34.5
Step-by-step explanation:
you are adding 6.9 together , or 6.9 x 5 = 34.5
Please help me solve this
Answer: number 11 is 12.3 or 12.30
Step-by-step explanation:
Best estimate of the total spent, not including tax 6.52 + 19.89 + 21.15
Answer:
47.56
Step-by-step explanation:
Round number to the underline digit 45.398 The underline digit is 3.
Which point lies on the line -x+4y=-3
Answer:
3x+4y
gyhhuhyyb buhhujnjjijnjijhu
In the population served by the New York Blood Center, 45% have blood type O. Consider the next 15 blood donations to the center from unrelated individuals. (a) What is the probability that exactly three have blood type O? (Enter your answer rounded to four decimal places.)
Answer:
0.03177
Step-by-step explanation:
Prob (Bld grp) ~ Bin (N, P)
N = 15, P = Prob of success ie 'O' blood type = 0.45
P (BG = 0) for 3 people = (N c X) P^X . (1-P)^N-X
As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12
= 455 (0.091125) (0.0007662)
= 0.03177
a. The probability that exactly three have blood type O is 0.03177
Calculation of the probability:Since
Prob (Bld grp) ~ Bin (N, P)
So
N = 15,
P = Prob of success ie 'O' blood type = 0.45
Now
P (BG = 0) for 3 people = (N c X) P^X . (1-P)^N-X
So,
As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12
= 455 (0.091125) (0.0007662)
= 0.03177
hence, The probability that exactly three have blood type O is 0.03177
Learn more about probability here: https://brainly.com/question/21102470
) A watershed experiences a rainfall of 8 inches. What is the runoff volume when the curve number is 80
Answer:
5.625 inches
Step-by-step explanation:
Given that:
Total Rainfall in inches (P) = 8 inches
The runoff volume (in inches) Q = ???
The curve number CN = 80
Recall that: The runoff volume can be calculated by using the formula:
[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex] for P > 0.2S
Q = 0 for P < 0.2S
[tex]S = \dfrac{1000}{CN}-10[/tex]
where:
curve number CN = 80
[tex]S = \dfrac{1000}{80}-10[/tex]
S = 2.5 inches
Since the rainfall (P) is greater than 0.25
Then:
[tex]Q = \dfrac{(P-0.2S)^2}{(P+0.8S)}[/tex]
[tex]Q = \dfrac{(8-0.2(2.5))^2}{(8+0.8(2.5))}[/tex]
[tex]Q = \dfrac{(8-0.5)^2}{(8+2)}[/tex]
[tex]Q = \dfrac{(7.5)^2}{(10)}[/tex]
[tex]Q = \dfrac{(56.25)}{(10)}[/tex]
Q = 5.625 inches
Thus, the runoff volume = 5.625 inches
a rectangular room has an area of 384 sq feet with floor tiles covering one part of it and carpet covering the rest. the tile part is 8 ft long. the carpeted part is 24 ft long. what is the width of the room?
8 + 24 = 32 feet long
Area = length x width
384 = 32 x width
Width = 384/32
Width = 12 feet
Answer: The room is 12 feet wide.
Step-by-step explanation: 8+24= the total length of the room. The area of anything divided by either the width or the length always gives you the missing measurement. So, 8+24=32. 384/32=12. You can check any answer you get doing one operation by taking the information you get and preforming the inverse (opposite) operation. Since the opposite of division is multiplication, all you have to do to check your answer is this: 32*12=384.
What’s the difference between m=change in y and change in x and m =y2-y1and x2-x1
it's the same thing
[tex]slope = \frac{Δy}{Δx} or \frac{change \: in \: y}{change \: in \: x} = \frac{y2 - y1}{x2 - x1} = \frac{rise}{run} [/tex]
the ray XZ is the angle bisector of WXY and m WXY = 125°. Enter m WXZ
Your brother works for a company that cleans and paints the outside of houses at a rate of $35 per hour. The company charges a flat rate of $500 for their supplies. The equation f(x) = 500 + 35x represents this scenario. What does the variable "x" represent in this equation?
Answer:
The x represents the hours my bro will work for in that companyAnswer:
Step-by-step explanation:
Since it says 500+35x, then x is the number hours he will work
The answer is the number of hours.
Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
A. 4×1+9×110+2×1100
B. 4×1+9×110+2×11,000
C. 4×10+9×110+2×1100
One number exceeds another by 1. The sum of the numbers is 23. What are the numbers?
Answer:
the numbers are 11 and 12
Step-by-step explanation:
HELP WITH MATH!!! 20 points
the questions are solving systems by substitution
Answer: 1. 2x-3y=-1 y=x-1 2. y=6x-11 -2-3y=-7 3. y=3x+5 5x-4y=-3
#1. 2x-3y=-1 and y=x-1
#2. y=6x-11 and -2x-3y=-7
#3. y=-3x+5 and 5x-4y=-3
By the end of Tina’s bike ride, she traveled a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)
help plz brainless you help me
Answer:
24.85 or rounded to 24.9
Step-by-step explanation:
Conversion
K H D____D C M
The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.
Calculation of the number of miles:Since
By the end of Tina’s bike ride, she traveled a distance of 40 kilometers.
And we know that
1 mile ≈ 1.6 kilometers
So,
[tex]= 40 \div 1.6[/tex]
= 25 miles
hence, The number of miles did Tina ride when (1 mile ≈ 1.6 kilometers) so it should be considered as the 25 miles.
Learn more about miles here: https://brainly.com/question/13208356