Answer:
Part a:
The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.
Part b:
The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.
Part c:
The calculate value of Z = 2.1213 lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.
Step-by-step explanation:
Data as given
H 0: μ ≤ 50 against the claim H a: μ> 50 one tailed test
Z (0.05)= ± 1.645
Sample size n= 50
Using the central limit theorem
Population Standard Deviation= σ=s=6
X= 52.5 , 51 and 51.8
Part a:
Z= x-μ/ s/ √n
Z= 52.5- 50 / 6/ √50
Z= 2.5/0.84853
z= 2.946
The calculate value of Z = 2.946 lies in the critical region so the null hypothesis is rejected and alternate hypothesis is accepted that population mean is greater than 50.
Part b:
Z= x-μ/ s/ √n
Z= 51- 50 / 6/ √50
Z= 1/0.84853
z= 1.17851
The calculate value of Z = 1.17851 does not lie in the critical region so the null hypothesis is accepted that population mean is not greater than 50.
Part c:
Z= x-μ/ s/ √n
Z= 51.8- 50 / 6/ √50
Z= 1.8/0.84853
z= 2.1213
The calculate value of Z = 2.1213 lies in the critical region so the null hypothesis is rejected and concluded that population mean is greater than 50.
The local grocery store sells a bag of dog food for $22. The store pays $13 for the dog food which equation can be used to find the markup on the dog food?
Answer:
2
Step-by-step explanation:
A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via e-mail. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected
Answer:
This spyware is detected 66% of times.
Step-by-step explanation:
We have these following percentages:
Seventy percent of the time the spyware arrives via the internet, and in this case is detected 60% of the time.
Thirty percent of the time the spyware arrives via e-mail, and in this case is detected 80% of the time.
What percentage of times is this spyware detected
0.7*0.6 + 0.3*0.8 = 0.66
This spyware is detected 66% of times.
HELP PLZZZZ !!!
An international company has 26,500 employees in one country. If this represents 31.9% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.
Answer
Step-by-step explanation:
what is the volume and surface area?
Answer:
I think its 10 mi
Step-by-step explanation:
Please let me know if I'm wrong!
A jumping spider hunts for its
food. When it gets close to its
prey, it jumps into the air and
pounces on it.
A jumping spider can jump
40 times its body length. One
jumping spider is 2 centimeters
long. How far can it jump?
Solve this equation 1/4 x 10?
Answer: 2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Have a great day :)
Select all the expressions that are greater than 1
1/10 ÷ 3
2 2/3 ÷ 1 2/3
5/7 ÷ 1/2
12 ÷ 1/2
2/7 ÷ 3/7
1 The number of guests, g, coming for dinner is not 8
2 the distance of the race d is at least 6 miles
what is the inequality for each of the solutions
Answer:
1. g < 8
2. d ≤ 6
The tickets for the school play are $7.00 for adults and $5.00 for students. There were 100 tickets sold. If the total profit was $550.00, how many of each were sold?
Answer:
25 adult tickets and 75 student tickets were sold.
Step-by-step explanation:
Given that the tickets for the school play are $ 7.00 for adults and $ 5.00 for students, and that there were 100 tickets sold generating a total profit of $ 550.00, to determine how many of each were sold the following calculation must be performed:
100 x 5 = 500
550 - 500 = 50
7 - 5 = 2
50/2 = 25
100 - 25 = 75
(25 x 7) + (75 x 5) = X
175 + 375 = 550
Therefore, 25 adult tickets and 75 student tickets were sold.
An article reported that a survey of clothing worn by pedestrians killed at night in traffic accidents revealed that about 80 percent of the victims were wearing dark-colored clothing and 20 percent were wearing light-colored clothing. The conclusion drawn in the article was that it is safer to wear light-colored clothing at night.
(a) Is this conclusion justified? Explain.
(b) If your answer to part (a) is no, what other information would be needed before a final conclusion could be drawn?
Answer:
Explained below.
Step-by-step explanation:
A) We are not given a population percentage of people who wear dark or light clothes. For example, the number of people wearing dark cloths were maybe 700 and only 100 were killed.
So using the percentage of those killed to draw a conclusion is not a true representation of the reality. Thus, it is not justified to conclude that it is safer to wear light-colored clothing at night.
B) The additional information needed will be the population percentage of all pedestrians both those killed and those not killed who wore light-colored and dark colored clothing at night.
David keeps records of his monthly earnings. Last month he worked 140 hours and earned $3700. This month he worked 120 hours and earned $3200.
Answer:
Step-by-step explanation:
Part A:
Rate of pay for David = [tex]\frac{\text{Change in earnings}}{\text{Change in hours worked}}[/tex]
= [tex]\frac{3700-3200}{140-120}[/tex]
= $25
Part B:
If he worked for number of hours = x
Then the function representing the earning will be,
f(x) = 25x + b
For an ordered pair (120, 3200),
3200 = 25(120) + b
b = 3200 - 3000
b = 200
Therefore, function will be,
f(x) = 25x + 200
Part C:
"Slope = 25" means the rate of change in earnings per hour is $25.
Similarly, y-intercept 'b = 200' will represent the fixed amount earned by David in addition to the per hour earnings.
If a number is multiplied by 7, the result is the same as when 25 is added
to twice the number. Find the number.
Answer:
Step-by-step explanation:
"a number is multiplied by 7" can be represented by 7x
"25 is added to twice the number" can be represented by 2x+25
7x = 2x+25
5x = 25
x = 5
The number is 5 if a number is multiplied by 7, the result is the same as when 25 is added to twice the number.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the number is x:
From the problem, we can model a linear equation in one variable.
7x = 2x + 25
5x = 25
x = 5
Thus, the number is 5 if a number is multiplied by 7, the result is the same as when 25 is added to twice the number.
Learn more about the linear equation here:
brainly.com/question/11897796
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How many days are in 10 years?
Answer:
3650
Step-by-step explanation:
Your bill at a restaurant was for $36. You want to leave a 15 % tip. What would the tip amount be?
$5.40
$6.20
$4.17
$2.40
please help!!
pic below
Answer:
A !
Step-by-step explanation:
1 +2 = 3
1 x 1 = 1
8 x 3 = 24 !!
3 1/24
i hope this helps !
Answer:
5/8
Step-by-step explanation:
Solve for X
2x - 8 = 30
Answer:
x=19
Step-by-step explanation:
2x - 8 = 30
get x by itself by adding 8 to both sides
2x=38
divide by 2
x=19
The number of tadpoles in a particular pond on March 1st of any particular year is Pn the population is modelled by the interactive formulae
The population is modelled by the interactive formulae Pn+1 = k(Pn+60)
Answer:
get them googel
Step-by-step explanation:
answer, show work, due today
Answer:
60%
Step-by-step explanation:
13.5/22.5
Use ΔDEF, shown below, to answer the question that follows:
What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.
Find the coordinate point for D that would make ABDC a rhombus.
coordinate plane with points A 2 comma 2, B 3 comma 4, and C 4 comma 1
(5, 4)
(5, 2)
(5, 3)
(3, 0)
Answer: The correct answer is (5, 3)
Step-by-step explanation: I got it right on the exam
(5,3) will make a rhombus.
What is Rhombus?A Quadrilateral with all sides equal but with nonequal diagonals is know as Rhombus.
How to solve?Let D have coordinate (x,y)
The length of all the sides of the rhombus is equal.
length of AB = [tex]\sqrt{({2-3})^2 + ({2-4})^2} = \sqrt{1+4} = \sqrt{5}[/tex]
Similarly BD = [tex]\sqrt{({3-x})^2 + ({4-y})^2} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex] -------------(1)
CD = [tex]\sqrt{({4-x})^2 + ({1-y})^2} = \sqrt{17+{x}^2+{y}^2-8x-2y}[/tex] -------------(2)
We know BD = CD gives,
[tex]\sqrt{17+{x}^2+{y}^2-8x-2y} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex]
By squaring both sides and solving we get,
3y - x = 4 ----------------------(3)
Since BCD is a right-angled triangle,
[tex]{BC}^2 = {BD}^2 + {CD}^2[/tex]
BC = [tex]\sqrt{10}[/tex]
10 = 5 + [tex]\sqrt{17+{x}^2+{y}^2-8x-2y}[/tex]
8 = [tex]{x}^2+{y}^2-8x-2y[/tex] -------------------(4)
solving equation (3) and (4) we get x = 5 and y = 3
TO Learn more about Rhombus visit:
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Blake bought a new set of golf clubs. He found them at Golf Pro for $270. If the store is offering 20% off how much are the new clubs?
Answer:
216
Step-by-step explanation: 270-20%= 216
Using your answer from #3, how many hours will
Victoria need to babysit if she raises her hourly
charge to $15 per hour and she still wants to
earn at least $75?
Answer:
5 hours cuz 75 divided by 15 is 5 or 15 x 5 is 75
Roberto has $200 in spending moneyHe wants to buy some video games that cost $25.50 eachWrite solve an inequality to find the number games, that Roberto can buy Enter your answer in the box
x>24 or x<24
Answer:
Roberto can buy 7 videogames.
Step-by-step explanation:
Given that Roberto has $ 200 in spending money and he wants to buy some video games that cost $ 25.50 each, to determine the number of games he can buy, the following inequality must be resolved:
25.50X = 200
X = 200 / 25.50
X = 7.84
Thus, since the whole number is 7, with $ 200 you can buy 7 video games, and there will be $ 21.5 (200 - 178.5) left over.
Nimer was driving to a hotel he looked at his sat nav at 13:30 and saw the following, distance to destination =65 miles miner arrived at the hotel at 14:48
Step-by-step explanation:
The total is 37000.
Hope it helps for your education
Simplify answer
HELP FAST FAST FAST PLS ILL LOVE YOU FOREVER <3
Mr. Lewis showed his friend part of the prime factorization of 70. Fill in the missing factor.
2 x _ x 7
Answer:
5
Step-by-step explanation:
2x5x7=70
the difference of 44 and the square of n into a expression
Answer:
[tex]44-\sqrt{n}[/tex]
what is the answer?
plz help
Answer:-516
Step-by-step explanation:
Answers:
The simplified expression is -4x The value is -516===========================================
Explanation:
To simplify this, we combine the coefficients. This works because all of the terms have 'x' in them and nothing else (they are all like terms). We can think of this problem as trying to evaluate -12+14-6. This simplifies to -4
So -12x+14x-6x simplifies to -4x
Afterward, we replace x with 129 to get
-4x = -4*129 = -516
rewrite the following equation in slope-intercept form
y-6=-9(x-5)
Answer:
y=-9x+51
Step-by-step explanation:
-9x+45=y-6
add 6 to both sides to get
-9x +51=y
how do i solve this? pls help
Answer:
6.11753349 × [tex]10^1^6[/tex]
Step-by-step explanation:
Raise 17 to the power of 12 .
f(x) = 105 ⋅ 582622237229761
Multiply 105 by 582622237229761 .
f ( x ) = 61175334909124905
Move the decimal so there is one non-zero digit to the left of the decimal point
6.11753349 × [tex]10^1^6[/tex]
Hope this helps :)
A Redbox movie costs $1.50. Redbox charges $1 per day for late movies. If Henry's movie is 3 weeks late, how much money does he owe for his movie?
Answer:
$22.50
Step-by-step explanation:
3 weeks = 21 days
21 × 1 + 1.50
21 + 1.50
22.50