According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327. A random sample of 10 recent graduates from the small college was selected and the mean and standard deviation of the salary for those graduates was found. With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?
(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.
(B) There is convincing statistical evidence that the mean salary for the sample of 10 college graduates from the small college is greater than $45,327.
(C) There is not convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327
(D) There is not convincing statistical evidence that the mean salary for the sample of 10 college graduates from the small college is greater than $45,327.
(E) There is not convincing statistical evidence that the graduates from this college will always eam more than $45,327.
Answer:
(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.
Step-by-step explanation:
According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327.
At the null hypothesis, we test if the mean salary is the expected salary of $45,327, that is:
[tex]H_0: \mu = 45327[/tex]
At the alternate hypothesis, we test if the salary is greater than the expected salary of $45,327, that is:
[tex]H_1: \mu > 45327[/tex]
With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?
The p-value of the test if 0.045 < 0.05, which means that there is sufficient evidence to accept the alternate hypothesis, that is, to conclude that the mean salary for all recent college graduates from the small college is greater than $45,327.
This means that the correct answer is given by option A.
HELP PLZZ TIMED TEST 5 MIN LEFT!
Step-by-step explanation:
answer: 135 degrees for the missing side
If a circle has an area of 144 sq. cm, what will be its area if the radius is reduced to one third?
Answer:
Step-by-step explanation:
1/3; 33.33 or 0.33
How to solve Solve 3!
Answer:
by solving 3
Step-by-step explanation:
6 cm = ______ mm *
50 mm = ______ cm
100 mm=_______cm
20 mm = ______ cm
5kg = ______ g *
800g = _____kg *
6000mg = ______kg *
2lit = _____ml *
75ml = ____lit *
82km = ____m
Answer:
6 cm = __6*10=60____ mm *
50 mm = _[tex] \frac{50}{10} [/tex]__=5___ cm
100 mm=__[tex] \frac{100}{10} [/tex]=10____cm
20 mm = __[tex] \frac{20}{10} [/tex]_=2_____ cm
5kg = _5*1000=5000_____ g *
800g = ____[tex] \frac{800}{1000} [/tex]=0.8___kg
6000mg = ___[tex] \frac{6000}{1000000} [/tex]=0.006___kg *
2lit = _2*1000=2000_ml *
75ml = __[tex] \frac{75}{1000} [/tex]=0.075_lit *
82km = 82*1000=82000__m
Solve for x.
x = [?]
4x - 16
2x + 16,
Answer:
Solution given:
4x-16+2x+16=180{linear pair are supplementary]
6x=180
x=180/6
x=30
is a required answer.
Can anyone help ?
Kim rolls a dice and flips a coin.
a) Calculate the probability that she
gets a 2 and a head.
b) Work out the probability that she
gets an even number and a tail.
What would b be
Answer:
a) 1 / 12
b) 1 / 4
Step-by-step explanation:
The events are independent since they do not affect each other. The total probability of two independent events is the product of the probabilities of the two events.
a) When rolling a die, there are 6 outcomes, the numbers 1 - 6. There is only 1 outcome where you can get a 2. Therefore, the probability of rolling a two is 1/6.
When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with heads. The probability of getting head would be 1 / 2.
To find the the total, you multiply the probabilities of the two events: 1 / 6 * 1 / 2 = 1 / 12
b) As stated before, when rolling a die, there are 6 outcomes, the numbers 1 - 6. There are 3 outcomes where she can roll an even number: the numbers 2, 4, or 6. So, the probability of rolling an even number is 3 / 6 or 1 / 2.
When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with tails. The probability of getting tails would be 1 / 2.
Now, you multiply the two probabilities to get the total probability: 1 / 2 * 1 / 2 = 1 / 4
In the number 16.73, which number is in the ones place?
Answer:
6
hope this helps
have a good day :)
Step-by-step explanation:
Find the sum of each of the following polynomials.
a) [tex]x^3+5x^2+2, 3x^2-4x+7[/tex]
b) [tex]2x + 5x^3-2x^2+7, 9+4x-5x^2-2x^3[/tex]
c) [tex]5x^3+2x^2+4, 2x^2+7x-5, 7-5x^2 +3x-4x^3[/tex]
d) [tex]2x^4-3x^2+4x^3-5, 9x^2-7x^3-2x^4, 7-x+3x^4[/tex]
Answer:
[tex](a)\ Sum = x^3+8x^2-4x+9[/tex]
[tex](b)\ Sum =3x^3-7x^2+6x +16[/tex]
[tex](c)\ Sum = x^3-x^2+10x+6[/tex]
[tex](d)\ Sum = 3x^4 -3x^3+ 6x^2-x+2[/tex]
Step-by-step explanation:
Required
Sum of the polynomials
[tex](a)\ x^3+5x^2+2, 3x^2-4x+7[/tex]
[tex]Sum = x^3+5x^2+2+3x^2-4x+7[/tex]
Collect like terms
[tex]Sum = x^3+5x^2+3x^2-4x+2+7[/tex]
[tex]Sum = x^3+8x^2-4x+9[/tex]
[tex](b)\ 2x + 5x^3-2x^2+7, 9+4x-5x^2-2x^3[/tex]
[tex]Sum =2x + 5x^3-2x^2+7+ 9+4x-5x^2-2x^3[/tex]
Collect like terms
[tex]Sum =5x^3-2x^3-2x^2-5x^2+4x+2x +7+ 9[/tex]
[tex]Sum =3x^3-7x^2+6x +16[/tex]
[tex](c)\ 5x^3+2x^2+4, 2x^2+7x-5, 7-5x^2 +3x-4x^3[/tex]
[tex]Sum = 5x^3+2x^2+4+ 2x^2+7x-5+ 7-5x^2 +3x-4x^3[/tex]
Collect like terms
[tex]Sum = 5x^3-4x^3+2x^2+ 2x^2-5x^2+7x+3x-5+ 7 +4[/tex]
[tex]Sum = x^3-x^2+10x+6[/tex]
[tex](d)\ 2x^4-3x^2+4x^3-5, 9x^2-7x^3-2x^4, 7-x+3x^4[/tex]
[tex]Sum = 2x^4-3x^2+4x^3-5+ 9x^2-7x^3-2x^4+ 7-x+3x^4[/tex]
Collect like terms
[tex]Sum = 2x^4-2x^4+3x^4 +4x^3 -7x^3-3x^2+ 9x^2-x-5+ 7[/tex]
[tex]Sum = 3x^4 -3x^3+ 6x^2-x+2[/tex]
Pls help I’ll brainlest
▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Law of Exponents ⸔
→ aᵐ × aⁿ = aᵐ+ⁿ
→ aᵐ ÷ aⁿ = aᵐ-ⁿ
→ (aᵐ)ⁿ = aᵐⁿ
→ aᵐ × bᵐ = (ab)ᵐ
→ a⁰= a¹
→ aᵐ/bᵐ = (a/b)ᵐ
Question's solution ⸔
→ 5⁰
→ 1 [a⁰ = 1]
▬▬▬▬▬▬▬▬▬▬▬▬▬▬
PLZZZ HELP!!! Brainliest to whoever can help!!! T^T
Answer:
I think it B
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
h=2x^2
b=5x^2+4x
we know that
area of triangle (A)=1/2×b×h
=1/2×2x^2×(5x^2+4x)
=x^2(5x^2+4x)
=5x^4+4x^3 square units
A coffee cup keeps coffee at 175 degrees for 2 hours each quarter hour after that the coffee loses 15 degrees of warmth what will the temperature of the coffee be after 4 hours who ever actually helps get brainliest and random answers will be reported.
Answer:
I believe the answer is 55 degrees.
Plz don't report me if i'm wrong.
Step-by-step explanation:
Me puedes ayudar es para hoy porfavor
Answer:
mira a las base de las figuras y busca cual base matchs con la figuras de la figura prinsipal
Step-by-step explanation:
como el cono va con la del toda la izquierda de la de la mitad
Find the equation that has a slope of -1/8 and passes through the point (0,-4)
A. Y= 1/8x
B. Y=1/4x-4
C. Y=-1/8x-4
Answer:
Option C
Step-by-step explanation:
Given :-
The slope of the line is -1/8The line passes through (0,-4) .And we need to find out the equation of the line .We are here given slope and a point . So we can use the slope point form of the line. As ,
[tex]:\sf\implies m ( x - x_1)= y - y_1 \\\\\sf:\implies \dfrac{-1}{8}(x -0)= y - (-4) \\\\\sf:\implies \dfrac{-x}{8}= y +4 \\\\\sf:\implies \boxed{ \sf\red{y = \dfrac{-x}{8}-4}}[/tex]
Hence the option C is correct.
If a fair coin is tossed 4 times, what is the probability, to the nearest thousandth, of getting exactly 3 tails?
Answer:
000.3
Step-by-step explanation:
The probability of getting exactly 3 tails is 0.25 If a fair coin is tossed 4 times, what is the probability.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We have a coin if it is tossed 4 times.
Then the probability of getting exactly 3 tails is:
[tex]=\rm 4 C_3(\frac{1}{2} )^3\times (1-\frac{1}{2} )^1[/tex]
[tex]=\rm 4\times \frac{1}{16}[/tex]
= 1/4
= 0.25
Thus, the probability of getting exactly 3 tails is 0.25 If a fair coin is tossed 4 times, what is the probability.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
find the area of this figure
Answer:
164
Step-by-step explanation:
5×8×2=80
7×12=84
84+80=164
Amanda is 10 years old. She wants to
start saving for college. She saves $450
this year and wants to double her money every year after. Write an equation to model this situation. How much money will she have when she is 18 years old?
Answer:
7200
Step-by-step explanation:
450 x 2 = 900
900 x 8 =7200
The perimeter of a rectangular field is 332 yards. If the length of the field is 92 yd what is the width?
Answer:
The width of the rectangular field is equal to 74 yards.
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Geometry
Perimeter Formula [Rectangle]:
[tex]\displaystyle P = 2l + 2w[/tex]
Step-by-step explanation:
Step 1: Define
Identify given variables.
P = 332 yds
l = 92 yds
Step 2: Find Width
[Perimeter Formula - Rectangle] Substitute in variables:∴ the width of the field is equal to 74 yards.
___
Learn more about Geometry: https://brainly.com/question/27795993
___
Topic: Geometry
Kim got a "40" in a class and I make a 70 on a test. How much does the grade goes up?
Answer:
30%
Step-by-step explanation:
How are these triangles congruent ?
- HL
- AAA
- ASA
The problem solving is on the image, 6th grade
The angle of elevation to the top of the Empire State Building in New York is found to be 11° from the ground at a distance of 5281 feet from the base of the building. Using this information, find the height of the Empire State Building in feet. Use the dimensions given in the diagram to give an equation and solve. Round two decimal places.
Answer:
The height of the building is of 1026.52 feet.
Step-by-step explanation:
This situation is modeled by a right triangle, in which the length of the opposite side to the angle of 11º is the height of the building, while the length of the adjacent side is of 5281 feet.
Tangent:
In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.
In this question:
[tex]\tan{(11)} = \frac{x}{5281}[/tex]
[tex]x = 5281*\tan{(11)}[/tex]
Using a calculator, we have that the tangent of 11 degrees is: 0.1944. Thus:
[tex]x = 5281*\tan{(11)} = 5281*0.1944 = 1026.52[/tex]
The height of the building is of 1026.52 feet.
A car traveled 11.5 miles in 15 minutes. How many miles per hour was it traveling?
Answer:
46 miles per hour
Step-by-step explanation:
ِAn hour has 60 minutes. In 60 minutes, there is four 15 minutes (4*15 = 60).
So, if it travelled 11.5 miles in 15 minutes, in an hour, it travelled 11.5 * 4 = 46 miles per hour.
The miles per hour he was travelling is 46 miles.
What is the miles per hour travelled?
The first step is determine the average speed. Average speed is the total distance travelled per time.
Average speed = total distance / total time
11.5 / 15 = 0.766667 miles / per minutes
Miles travelled = average speed x time
Miles travelled = 0.766667 x 60 = 46 minutes
To learn more about average speed, please check: https://brainly.com/question/21734785
How to solve 4x - 5 = 2x + 19?
Answer:
x = 12
Step-by-step explanation:
4x - 5 = 2x + 19
First subtract the 2x from 4x.
2x - 5 = + 19
Then add the 5 to the 19.
2x = 24
Divide 24 by 2 in order to get x by itself.
x = 12
A number is multiplied by 4, That result is added to 12. The final number is 40.
What is the original number.
A. 2
B. 7
C.13
D.22
Answer:
Step-by-step explanation:
Answer:
the answer is 7
Connie is designing a countertop for her kitchen, as shown below.
3 ft
4.5 ft
3 ft
Which measurement is closest to the area of the figure in square feet?
A 13.5 ft
B 18 ft
C 27 ft
D40.5 ft?
Answer:
c. 27
Step-by-step explanation:
Subtract 8−2x from 3−6x .
Answer in this format:
Answer:
[tex]4x + 5[/tex]
Step-by-step explanation:
[tex](8 - 2x) - (3 - 6x)[/tex]
[tex]8 - 2x - 1 \times 3 - (6x)[/tex]
[tex]8 - 2x - 3 + 6x[/tex]
[tex] - 2x + 5 + 6x[/tex]
[tex]4x + 5[/tex]
Hope it is helpful....5 bricklayers can lay a total of 50 bricks in 30 minutes. How many bricklayers will
be required to lay a total of 60 bricks in 18 minutes?
Answer:
First look at the number of bricks alone.
Going from 50 bricks to 60 bricks is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 60/50
Next look at the time alone.
Going from 30 minutes to 20 minutes is more work, thus it will require more people. The number of people would be the ratio of the 2. Since the number must be larger, you know the numerator must be the larger of the 2 numbers, so you get 30/20
Now you can just multiply everything.
= 5*60/50*30/20
= 5*6/5*3/2
= 90\10
= 9.
Can somebody help me seriously
Answer: b
Step-by-step explanation:
I don't know but i am right
A student measures the air pressure inside her bicycle tires before and after she goes on a long bicycle ride. What will she most likely observe?
Answer:
She will see that the pressure went up, not down!
Step-by-step explanation:
1. In a closed system, The volume inside the tire shouldn't change much (the losses will be small)
2. For a closed system, the Pressure inside a bicycle tire will increase with the increase of its Temperature
3. In a long bicycle ride, the constant friction of the tire to the ground will heat up the air inside the tire, thus increasing the pressure inside the tire