Answer:
Organizations can use one-sample hypothesis test to determine if there are performance issues in many ways.
It can be applied to the performance of a sector, a machine, a product, an advertising campaing, etc.
For example, we can take the example of a machine. It may be claimed that a specific machine performs significantly worse than the average.
This average would be the population mean: the average performance of the machines of the same type or process.
Then, a sample of the performance of the machine in study is taken and the hypothesis test can be performed to test the claim that this machine performs significantly worse.
Step-by-step explanation:
For example, we have an historic performance for this type of machine of 100 units a day. The machine A in study is sampled 14 days and have a performance of 92 units a day, with a sample standard deviation of 12 units/day. We have to test the claim that the machine A makes less units per day than the average.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=100\\\\H_a:\mu< 100[/tex]
The significance level is 0.05.
The sample has a size n=14.
The sample mean is M=92.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=12.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{12}{\sqrt{14}}=3.2071[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{92-100}{3.2071}=\dfrac{-8}{3.2071}=-2.4944[/tex]
The degrees of freedom for this sample size are:
[tex]df=n-1=14-1=13[/tex]
This test is a left-tailed test, with 13 degrees of freedom and t=-2.4944, so the P-value for this test is calculated as (using a t-table):
[tex]P-value=P(t<-2.4944)=0.0134[/tex]
As the P-value (0.0134) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that machine A produces significantly less units per day than the average.
What fraction of the circle would 3 pieces represent?
Answer:
3/4 would represent the shaded in parts of the circle
Step-by-step explanation:
I cannot give you an accurate answer seeing as you did not give much detail
solve 5tanx= 5sqrt3 for 0
Answer:
60 degrees
Step-by-step explanation:
5 tan x = 5 root 3
tan x = root 3
sin x / cos x = root 3
(root(3) / 2) / (1/2) = root 3
sin x = root(3)/2
cos x = 1/2
x = 60 degrees
Which situation can be represented by the equation Y equals 74X
Answer:
X: amount of a spare part of price $74 per unit.
Y: cost of purchasing X spare parts.
Step-by-step explanation:
We can imagine that X represents the amount of an object, for example a car spare part, which price is $74 per unit.
Then, Y would represent the cost of purchasing X units of that spare part.
Gavin, Colin and Dan share some sweets in the ratio 7:3:2. Gavin gets 75 more sweets than Dan. How many sweets does Colin get?
Answer:
45 sweets.
Step-by-step explanation:
Gavin gets 7(7+3+2) = 7/12 of the sweets.
Dan gets 2 /12 so Gavin gets 7/2 times as much as Dan
Let Dan get x sweets then
x + 75 = 7x /2
7x/2 - x = 75
5x/2 = 75
x = 75 * 2/5 = 30 sweets.
So Dan gets 30 sweets , Gavin gets 105 sweets and Colin gets 3/2 * 30
= 45 sweets.
Sa piajes egne baseball games this season. Her point totais for each game were 8. 14.4 7.6.14, 4 and 7. What was
the mean number of points she scoret per game?
Answer:
The mean number of scores per game is 8
Step-by-step explanation:
Since we know we can find the mean by adding all the numbers and dividing them by many numbers there were. Once you add 8, 14, 4, 7, 6, 4, and 7, you will get 64. Since there were 8 numbers, you divide 64 by 8 to get 8.
Factor 4x^3 + 40x^2 + 100x
Answer:
4 x (x + 5)^2
Step-by-step explanation:
Factor the following:
4 x^3 + 40 x^2 + 100 x
Factor 4 x out of 4 x^3 + 40 x^2 + 100 x:
4 x (x^2 + 10 x + 25)
The factors of 25 that sum to 10 are 5 and 5. So, x^2 + 10 x + 25 = (x + 5) (x + 5):
4 x (x + 5) (x + 5)
(x + 5) (x + 5) = (x + 5)^2:
Answer: 4 x (x + 5)^2
Write using only positive exponents. 16x^4z^4/36x-2yz^0
Answer:
Step-by-step explanation:
16x^4y^-3z^4 / 36x^-2yz^0
16x^4y^-3z^4 = 16x^4z^4/y^3
36x^-2yz^0 = 36x^-2y(1) =36x^-2y = 36y/x^2
16x^4y^-3z^4 / 36x^-2yz^0
= (16x^4z^4/y^3) / (36y/x^2)
= 16x^4z^4/y^3 * x^2/36y
= (4/9)x^6z^4/y^4
or another way
fist multiply it out
f(x) = 4x^(3/5) - x^(8/5)
now differentiate knowing d/dx(x^n) = n x^(n-1)
to get
4*(3/5) x^(-2/5) - 8/5 x^(3/5)
simplify to get
12/5/x^(2/5) - 8/5 x^(3/5)
If this is what your looking for please give me brainiest, i have done this problem in the past so i know how to solve it :)
What are the solutions of the quadratic equation (x + 3)2 = 49?
O x=-2 and x = -16
O x = 2 and x = -10
O x= 4 and x = -10
O x = 40 and x = -58
Answer:
4 and -10
Step-by-step explanation:
Take the square root:
x +3 = ±√49 = ±7
Subtract 3:
x = -3 ± 7
For the minus sign, we have ...
x = -3 -7 = -10
For the plus sign, we have ...
x = -3 +7 = 4
The solutions are x = 4 and x = -10.
The solutions of the quadratic equation x = 4 and x = –10
Step-by-step explanation:
What is the next term in the pattern 1000, 500, 250, 125, 62.5, ……
Answer:
31.25
Step-by-step explanation:
Firstly, we need to identify the pattern.
Pattern: every next number is obtained by dividing the previous number by 2.
1st number = 1000
2nd number = 1000/2 = 500
3rd number = 500/2 = 250
4th number = 250/2 = 125
5th number = 125/2 = 62.5
6th number = 62.5/ 2 = 31.25.
_______________________________________________
It can be also solved using concept of geometric progression
In GP
any nth number is given by = [tex]ar^(n-1)[/tex]
where a is first number
r is the common ratio for the gp
r common ratio is calculated by = nth/(n-1)th
here r = 500/1000 = 1/2
a = 1000
next term which we need to find is 6th terms
Thus, 6th terms = [tex]1000*(1/2)^(6-1)[/tex]
[tex]=1000/2^5[/tex]
=1000/32 = 31.25
Children under 10 years and older people over 65 years receive a discount on movie tickets. Let x represent the age
of a person who receives a discount.
Which inequality represents the age of a child who receives a discount?
Which inequality represents the age of an older person who receives a discount?
Which compound inequality represents the age of a person who receives a discount?
Done
h Intan
Answer:
Hi
Step-by-step explanation:
In
how do you write 5179 in figures
3
Solve y - 18 = -3.
a) 15
6
b) 21
9
Oc) -21
12
d) -15
Answer:
Its a) 15
Step-by-step explanation:
Whats happens when the value of the expression c + 2 as c increase
Answer:
c+2 increases linearly with c. That means that if c increases by 1, c+2 will increase by 1; if by 2, c+2 will increase by 2.
Step-by-step explanation:
698,000 converted to scientific notation
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Scientific notation is written as:
a x 10^n
where 'a' is a value between 1 and 10
In this case, it would be:
6.98 x 10^5
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Correct Answer:
6.98 x 10^5
write 820.341 in scientific notation
A polar bear migrate north during winter to hunt for its food on sea ice. The daily average temperature decreases 3°C for every 100 km traveled. At the start of the bear's journey, the temperature is 2"C. What is the temperature after 200 km of its journey ?
Answer:
The average temperature after 200 kilometers of journey is -4 °C.
Step-by-step explanation:
The situation shows that change in average temperature is directly proportional to travelled distance:
[tex]T = 2^{\circ}C - \frac{3^{\circ}C}{100\,km} \cdot (200\,km)[/tex]
[tex]T = -4^{\circ}C[/tex]
The average temperature after 200 kilometers of journey is -4 °C.
Answer:
The temperature after 200 km of its journey is -4°C
Step-by-step explanation:
To find the new temperature, first, you need to find how much the temperature decreases, and then subtract this temperature decrease to the initial temperature.
The temperature decreases 3°C for every 100 km travelled, then, after 200 km the temperature decreases 2*3 = 6 °C.
At the start of the bear's journey, the temperature was 2 °C, after 200 km the temperature is 2 - 6 = -4°C
A farmer has a large field that is x feet in length. He wants to fence in a rectangular section in the middle of the field, leaving a length of 100 feet of open field beyond each end of the fenced rectangle. He also wants the width of the fenced-in space to be 100 feet less than its length, as shown in the diagram.
Find the equation in standard form for the area of the fenced-in section in terms of the length of the field.
(area = length • width)
Answer:
y = x2 − 500x + 60,000
Step-by-step explanation:
The length of the fenced-in section is (x − 200) feet, and the width is (x − 300) feet.
area of the fenced-in section = length • width
y = (x − 200)(x − 300)
= x2 − 300x − 200x + 60,000
= x2 − 500x + 60,000
Answer:
y= x^2 − 500x + 60,000
Step-by-step explanation:
Other loser made a mistake
The length of the fenced-in section is (x − 200) feet, and the width is (x − 300) feet.
area of the fenced-in section = length • width
y = (x − 200)(x − 300)
= x^2 − 300x − 200x + 60,000
= x^2 − 500x + 60,000
Solve: x=4+(4x-4)1/2 x = 2
x = 10
x = 2 or x = 10
no real solution
Answer:
No real solution- Not any of the options anyway
Step-by-step explanation:
So I replaced the x's with the two possible equations and then tried to solve...
2=4+(4x2-4)1/2
2=4+(8-4)1/2
2=4+(4)1/2
2=8(1/2)
2=4 Which is not true
10=4+(4x10-4)1/2
10=4+(40-4)1/2
10=4+36(1/2)
10=40(1/2)
10=20 Which is also not true
Therefore, there is no real solution
Answer:
B: x = 10 on Edge 2020
Step-by-step explanation:
4(1 - x) + 2 x= -3( x + 1)
Answer:
x = -7
Step-by-step explanation:
Solve for x:
4 (1 - x) + 2 x = -3 (x + 1)
4 (1 - x) = 4 - 4 x:
2 x + 4 - 4 x = -3 (x + 1)
2 x - 4 x = -2 x:
-2 x + 4 = -3 (x + 1)
Expand out terms of the right hand side:
4 - 2 x = -3 x - 3
Add 3 x to both sides:
3 x - 2 x + 4 = (3 x - 3 x) - 3
3 x - 3 x = 0:
3 x - 2 x + 4 = -3
3 x - 2 x = x:
x + 4 = -3
Subtract 4 from both sides:
x + (4 - 4) = -4 - 3
4 - 4 = 0:
x = -4 - 3
-4 - 3 = -7:
Answer: x = -7
Answer:
X=-7
Step-by-step explanation:
Ivy corporation gave 79 people a bonus. If Ivy had given 5 more people bonuses, Ivy would have rewarded 3/5 of the workforce. How large is Ivy's workforce. HELP.
Answer:
140 people in Ivy's workforce
Step-by-step explanation:
First, add together the 79 workers and the 5 extra people.
79 + 5 = 84
Now take 84 divided by 3/5 to find the number of people who are in the workforce.
84/ 3/5 = 140 people in Ivy's workforce
Answer:
140
Step-by-step explanation:
First, add together the 79 workers and the 5 extra people.
79 + 5 = 84
Now take 84 divided by 3/5 to find the number of people who are in the workforce.
84/ 3/5 = 140 people in Ivy's workforce
Patty goes to the mall at 9:30 am and meets a friend at a movie at 11:15 am. Patty wants to shop and have 55 min for lunch before meeting her friend
How much time can patty spend shopping?
Answer:
50 minutes
Step-by-step explanation:
Time when patty goes to mall = 9:30 am
Time when he has to meet a friend = 11.15 Am
Spare time patty has is interval between Time when he has to meet a friend
and Time when patty goes to mall
which can be written as
Spare time patty has = 9:30 am to 10:30 am which is 1 hours 45 mins.
One hour has 60 minutes.
Thus total time in minutes patty has = 1*60 minutes + 45 minutes = 105 minutes.
Time which will be used by Patty to have lunch = 55 minutes.
Time left out if 55 minutes are used in lunch = total spare time - time for lunch = (105 - 55 ) minutes = 50minutes.
Patty wants to shop in the spare time after allocating 55 minutes to lunch.
Thus the rest of time which is 50 minutes, he can use to shop.
Determine if the set is a Pythagorean triple
Answer:
Pythagorean Triples are sets of whole numbers for which the Pythagorean Theorem holds true. The most well-known triple is 3, 4, 5. This means that 3 and 4 are the lengths of the legs and 5 is the hypotenuse.
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answer:
Answer is (b) The worker with 40 hours of training is paid $1400 per month
The diagonal of a square is x units. What is the area of the square in terms of x?
3x square units
x? square units
2x square units
x square units
Answer:
(x^2)/2
Step-by-step explanation:
If the diagonal is x, then the side length is sqrt(x^2/2)
That makes the area (x^2)/2
Answer:
c is wrong thats what i had picked
Step-by-step explanation:
Find the unit rate.
Kenny reads
3/8 page in 2/3 minutes.
Answer:
15/ 16
Step-by-step explanation: 3/2 x 5/8= 15/16
you flip 2/3 to 3/2 and multiply it
There were 4 golden retrievers at the dog park last Saturday, along with 4 other dogs.
Considering this data, how many of the next 18 dogs to arrive at the park next Saturday
should you expect to be golden retrievers?
Answer:
9 Golden Retrievers.
Step-by-step explanation:
If there were 8 dogs last Saturday, and half were golden retrievers, next Saturday should have half golden retrievers. 18 divided by 2 equals 9.
[tex]18 \div 2 = 9[/tex]
Hope this helped :)
Answer:
ryt
Step-by-step explanation:
According to the most recent census, the average total yearly expenses of households in Wake County is $45,900. It is also known that the distribution of household expense in Wake County is strongly skewed to the right with a standard deviation of $8,370. A researcher is going to randomly select a sample of 7 households from Wake County.
1. Which of the following is true?
Select all that apply:
a. The sampling distribution of the sample mean will have a smaller standard deviation than the population.
b. The sampling distribution of the sample mean will have a different standard deviation than the population.
c. The shape of the sampling distribution of the sample mean will be skewed right.
d. The sampling distribution of the sample mean will have a larger standard deviation than the population.
e. We cannot tell what the shape of the sampling distribution of the sample mean will look like.
f. The shape of the sampling distribution of the sample mean will be approximately symmetric.
Answer:
a. The sampling distribution of the sample mean will have a smaller standard deviation than the population.
b. The sampling distribution of the sample mean will have a different standard deviation than the population.
c. The shape of the sampling distribution of the sample mean will be skewed right.
Step-by-step explanation:
Set up the inequality of $3.000 and $15
Answer:
$3.00 < $15.00
Step-by-step explanation:
It is unusual to see a dollar amount with three digits to the right of the decimal point. (This sometimes happens when prices are expected to be multiplied by large quantities.) On the other hand, it sometimes happens that a period gets substituted for a comma. So, some relevant inequalities might be ...
$3.00 < $15
$3,000 > $15
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT PLEASE EXPLAIN WHY YOU ARE CORRECT
Answer:
x=2
Step-by-step explanation:
The midsegment AB=(DG+EF)/2
so (5x-4+8x+2)/2=12
*2 *2
13x-2=24
+2 +2
13x=26
:13 :13
x=2
What’s the correct answer for this? Select the ones that apply
Answer:
B, C and E
Step-by-step explanation:
1) Proving that opposite sides have equal slopes as they are parallel also
2) Proving that opposite sides are parallel and equal