Answer:
The null hypothesis should not be rejected.
Step-by-step explanation:
We are given that the contents of a sample of 26 cans of beer showed a standard deviation of 0.06 ounce.
Let [tex]\sigma^{2}[/tex] = population variance
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\sigma^{2} \leq[/tex] 0.003 {means that the variance of the population is significantly less than or equal to 0.003}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\sigma^{2}[/tex] > 0.003 {means that the variance of the population is significantly more than 0.003}
The test statistics that would be used here One-sample chi-square test statistics;
T.S. = [tex]\frac{(n-1)\times s^{2} }{\sigma^{2} }[/tex] ~ [tex]\chi^{2}__n_-_1[/tex]
where, [tex]s^{2}[/tex] = sample variance = [tex]0.06^{2}[/tex] = 0.0036 ounces
n = sample of cans of beer = 26
So, the test statistics = [tex]\frac{(26-1)\times 0.0036 }{0.003 }[/tex] ~ [tex]\chi^{2}__2_5[/tex]
= 30
The value of chi-square test statistics is 30.
Since in the question, we are not given with the level of significance so we assume it to be 5%. Now at 5% level of significance, the ch-square table gives a critical value of 37.65 for right-tailed test.
Since our test statistics is less than the critical value of chi as 30 < 37.65, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the variance of the population is significantly less than or equal to 0.003.
The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the shirts they ordered, to earn a total of $1,750. After the first week of the fundraiser, they sold StartFraction one-third EndFraction of the short-sleeved shirts and StartFraction one-half EndFraction of the long-sleeved shirts, for a total of 100 shirts. Let x represent the number of short-sleeved shirts ordered and let y represent the number of long-sleeved shirts ordered. Which system of linear equations represents the situation? 5x + 10y = 100 and 5 x plus 10 y equals 100 and StartFraction one-third EndFraction x plus StartFraction one-half EndFraction y equals 1,750.x + StartFraction one-half EndFractiony = 1,750 5x + 10y = 1,750 and 5 x plus 10 y equals 1,750 and StartFraction one-third EndFraction x plus StartFraction one-half EndFraction y equals 100.x + y = 100 x + y = 100 and x plus y equals 100 and StartFraction one-third EndFraction x plus StartFraction one-half EndFraction y equals 1,750.x + y = 1,750 x + y = 1,750 and x plus y equals 1,750 and StartFraction one-third EndFraction x plus StartFraction one-half EndFraction y equals 100.x + y = 100
Answer:
We can write the following system of equations:
5x + 10y = 1,750 (because they bought $1,750 worth of shirts)
1/3x + 1/2y = 100
When we solve this system we get x = 150 and y = 100.
Answer:
5x + 10y = 1,750
Based on the following construction which statement below
must NOT be true?
Answer:
B. AC = 2AB
hope it helps!
Step-by-step explanation:
AC is half of AB
so if the statement says AC is 2AB it suggests that AC is greater than AB
this is definitely false..
Use the figure below. Which angles are vertical angles?
2
I am really sorry but you forgot to attach a File to your question.
If a rectangular picture frame is 3 times as long as it is wide, and the perimeter of the frame is 64 inches, what is its length?
Hey there! :)
Answer:
Length = 24 inches.
Step-by-step explanation:
Formula for the perimeter of a rectangle:
P= 2l + 2w
Let w = width, and 3w = length. Therefore:
64 = 2(3w) + 2(w)
Simplify:
64 = 6w + 2w
64 = 8w
w = 8
Width = 8 inches
Length = 3w = 3(8)
Length = 24 inches.
Answer:
Length = 3w = 3 x 8 = 24 inches
Step-by-step explanation:
Perimeter = 2(l + w)
64 = 2(3w + w)
64 = 2(4w)
w = 64 / 8
w = 8
2÷3 ? 4÷5 A. > B. < C. =
Answer: B
Step-by-step explanation:
To know the inequality, we can divide the numbers on each side to see what belongs in the middle.
0.67 ? 0.80
We can see that 0.67 is smaller than 0.8. Therefore, the inequality should be <.
0.67<0.8
Please help mehhh please!!
Answer:
It says your picture failed to load
Step-by-step explanation:
did it only happen to me or other people
Answer:
fraction: 70/100
decimal: 0.7
percent: 70%
Step-by-step explanation:
hope dis helps u! mark as brainlest if possible!
A residential complex has left for the recreation area a circular-shaped extension of 40 m radius. In this space, a basketball court 30 m long by 15 m wide will be built. Also, a trapezoid-shaped park will be left in the sand, 6 m with a larger base, 4 m with a lower base and 3.5 m in height. What is the area left in the circular zone, after building the basketball court and the sand park? NOTE: remember the value of π = 3.14
Answer:
Step-by-step explanation:
Area of the circular zone = [tex]\pi[/tex]r^2
= 3.14 × 40^2 = 3.14 × 1600 = 5024 m^2
Area of the basketball court = l × b
= 30 × 15 = 450 m^2
Area of the trapezium shaped park = ( 6 + 4 ) 3.5 / 2
= 35/2 = 17.5 m^2
∴ Area left in the circular zone = Area of the circular zone - ( Area of the basketball court + Area of the trapezium shaped park )
= 5024 - ( 450 + 17.5 )
= 5024 - 467.5
= 4556.5 m^2
hope this helps
plz mark it as brainliest!!!!!!!
A machine is used in a production process. From past data, it is known that 97% of the time the machine is set up correctly. Furthermore, it is known that if the machine is set up correctly, it produces 96% acceptable (non-defective) items. However, when it is set up incorrectly, it produces only 30% acceptable items.a. An item from the production line is selected. What is the probability that the selected item is non-defective? b. Given that the selected item is non-defective, what is the probability that the machine is set up correctly?
Answer:
a) 94.02% probability that the selected item is non-defective
b) 99.04% probability that the machine is set up correctly
Step-by-step explanation:
The Bayes Theorem is important to solve this question.
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
a. An item from the production line is selected. What is the probability that the selected item is non-defective?
The machine is set up correctly 97% of the time. When it is set up correctly, 96% of the items are non-defective.
The other 100-97 = 3% of the time, the machine is set up incorrectly. Then, 30% of the items are non-defective.
So
P = 0.97*0.96 + 0.03*0.3 = 0.9402
94.02% probability that the selected item is non-defective.
b. Given that the selected item is non-defective, what is the probability that the machine is set up correctly?
Then, for the Bayes Theorem:
Event A: The item is non-defective.
Event B: Machine set up correctly.
94.02% probability that the selected item is non-defective.
This means that [tex]P(A) = 0.9402[/tex]
97% of the time the machine is set up correctly.
This means that [tex]P(B) = 0.97[/tex]
Furthermore, it is known that if the machine is set up correctly, it produces 96% acceptable (non-defective) items.
This means that [tex]P(A|B) = 0.96[/tex]
Probability:
[tex]P(B|A) = \frac{0.97*0.96}{0.9402} = 0.9904[/tex]
99.04% probability that the machine is set up correctly
whats the answers to this ?
Answer:
Hi there!
The correct answers are: A, B, D, E
Step-by-step explanation:
First of all, perpendicular means when two lines intersect to form a 90° angle.
Second ⊥ means perpendicular.
When something is a bisector it means it evenly slices a line in half.
You paint 12 wall in 14 hour. At that rate, how long will it take you to paint one wall?
Answer: The answer is 70 minutes.
Answer:
≈ 1.2 hours
or
≈ 1 hour & 10 minutes
Step-by-step explanation:
Let's use a ratio:
walls : hours
12 : 14
6 : 7
1 : ≈ 1.2
European car company advertises that their
car gers 9.4 Kilometers per liter of gasoline. Convert
this figure to miles per galllon
Answer:
22.11 miles per gallon
Step-by-step explanation:
1 km = 0.621371 miles
1 litre = 0. 264172 gallon
Given
Mileage of car = 9.4 Milometers per liter of gasoline
Mileage of car = 9.4 Km/ litres
now we will use 0.621371 miles for Km and 0. 264172 gallon for litres
Mileage of car = 9.4 * 0.621371 miles/ 0. 264172 gallon
Mileage of car = 9.4 * 2.3521 miles/ gallon
Mileage of car = 22.11 miles/ gallon
Thus, 9.4 Km/litres is same as 22.11 miles per gallon.
Match the name of the sampling method descriptions given.
Situations:
a. number every name on a list and use a random number generator to select the first 50 numbers
b. selecting a classroom number at random then surveying all the students in that room
c. asking people on the street
d. choosing every 5th person on a list divide the population by age and select 5 people from each age
e. call every 15th phone number on every 5th page of the phone book
Sampling Method:
Systematic
Stratified
Simple Random
Convenience
Cluster
Answer:
Step-by-step explanation:
The height of Maury’s room is 8.4 feet from the floor to the ceiling. Maury wants to install a ceiling fan that hangs 1.875 feet below the ceiling. If Maury is 6.6 feet tall, which explains whether Maury’s head will hit the fan? Maury’s head will hit the fan because there are 6.525 feet between the floor and the fan, and 6.525 is less than 6.6. Maury’s head will not hit the fan because there are 6.525 feet between the floor and the fan, and 6.525 is less than 6.6. Maury’s head will hit the fan because there are 6.675 feet between the floor and the fan, and 6.675 is less than 6.6. Maury’s head will not hit the fan because there are 6.675 feet between the floor and the fan, and 6.675 is less than 6.6.
Subtract the ceiling fan from the height of the room:
8.4 - 1.875 = 6.525 feet
The answer is:
Maury’s head will hit the fan because there are 6.525 feet between the floor and the fan, and 6.525 is less than 6.6.
Answer:
it is A
Step-by-step explanation:
A 2007 U.S. study by Fontana, Klein, and Holloszy compared a number of factors associated with heart disease and metabolic disorders such as diabetes and blood pressure. Three groups of 21 participants in this observational study were matched for age, gender and other characteristics. The subjects in the raw vegan diet group were sedentary and had been eating a low-calorie, low-protein vegan diet composed primarily of unprocessed and uncooked plant-derived foods for at least 2 years. The subjects in the endurance runners group ran an average of 48 miles per week for an average of 21 years. The subjects in the western diet group consisted of sedentary and non-obese subjects who ate a typical western diet (characterized by high intakes of red meat, sugary treats, high-fat foods, and refined grains). All subjects in the study were healthy adults. Results of this study were published in the American Journal of Clinical Nutrition in 2006.
The researchers found that the western diet group was more likely to have borderline-high to high blood compared to the raw vegan diet group. Furthermore, 50% of the western diet group had higher blood pressure than 75% of the endurance runners.
Students in a statistics class were asked to summarize the results of the study. Which of the student statements is an appropriate summary? Check all that apply.
a. A western diet is associated with higher blood pressure.
b. Eating a western diet increases blood pressure.
c. A western diet is linked with a greater risk of high blood pressure.
Answer:
a. A western diet is associated with higher blood pressure.
b. Eating a western diet increases blood pressure.
Step-by-step explanation:
Given that :
Three groups of 21 participants participated in an observational study.
A
The raw vegan diet group who sedentary and had been eating a low-calorie, low-protein vegan diet composed primarily of unprocessed and uncooked plant-derived foods for at least 2 years.
B
The subjects in the endurance runners group who ran an average of 48 miles per week for an average of 21 years.
C
The subjects in the western diet group consisted of sedentary and non-obese subjects who ate a typical western diet (characterized by high intakes of red meat, sugary treats, high-fat foods, and refined grains).
From the observational study; we can observe that the raw vegan diet group will improve the heart health, they possess high fiber content necessary for healing. They don't quite have any issues related to higher blood pressure.
The Endurance runners groups who ran for an average of 48 miles per week for an average of 21 years will have a better heart health and a reduction in the risk associated with higher blood pressure or other health related diseases.
But the western diet group who ate a typical western diet (characterized by high intakes of red meat, sugary treats, high-fat foods, and refined grains) will have a variety of health complications all types of the foods being consumed. For example, high intake of red meat and sugary treats and high-fat food can result an individual to having diabetes. Because these food mention contains high saturated fat which raises the blood cholesterol . As a result high level of these cholesterols in the body can cause several heart complications and other health related diseases.
So from the aforementioned , we can concluded that :
option A and B were appropriate summary for the students statements.
Find the common ratio for this geometric sequence. 243, 27, 3, 1/3, 1/27.
Answer:
1/9
Step-by-step explanation:
Since each next term is 1/9 of the last, the common ratio is 1/9. This can be confirmed by the fact that 243*1/9=27, 27*1/9=3, 3*1/9=1/3, and so on. Hope this helps!
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
A = 45 units^2
Step-by-step explanation:
This is a trapezoid
A = 1/2 (b1+b2) h
b1 is the top = 7
b2 is the bottom = 11
h = 5
A = 1/2 ( 7+11) *5
A = 1/2 ( 18)*5
A = 45 units^2
A contractor is in charge of hiring people for a construction project. The number of days it would take to complete the project with xx full time workers can be found using the function f(x)=\frac{280}{x}.f(x)= x 280 . Assume once workers are assigned to the project, no workers may be added or taken off the project until it is finished. Find and interpret the given function values and determine an appropriate domain for the function.
Answer:
[tex]\text{Domain of x}=[1,\infty), x \in Z^+[/tex]
Step-by-step explanation:
Given the function: [tex]f(x)=\dfrac{280}{x},$ where:[/tex]
f(x) =number of days it would take to complete the project
x =number of full-time workers.
[tex]\text{When x=0, }f(x)=\dfrac{280}{0}=$Undetermined\\\text{When x=1, }f(x)=\dfrac{280}{1}=$280 days\\\text{When x=280, }f(x)=\dfrac{280}{280}=$1 day\\\text{When x=560, }f(x)=\dfrac{280}{560}=$0.5 days[/tex]
The domain of a function is the complete set of possible values of the independent variable.
In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.
Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).
[tex]\text{Domain of x}=[1,\infty), x \in Z^+[/tex]
One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for husbands and wives. Conduct a hypothesis test at the 5% level to see if the mean difference in the husband's versus the wife's satisfaction level is negative (meaning that, within the partnership, the husband is happier than the wife). Wife's score 2 2 3 3 4 2 1 1 2 4 Husband's score 2 1 2 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
(1) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.)
(2) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)
(3) What is the p-value? (Round your answer to four decimal places.)
(4) Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =
Answer:
(a) The test statistic would follow a t distribution with n - 1 = 10 - 1 = 9 degrees of freedom.
(b) The test statistic is -2.2361.
(c) The p-value of the test is 0.026.
(d) α = 0.05.
Step-by-step explanation:
In this case a hypothesis test is to be performed to determine whether the mean difference in the husband's versus the wife's satisfaction level is negative.
(a)
The data provided is paired data.
So a paired t-test would be used.
The test statistic would follow a t distribution with n - 1 = 10 - 1 = 9 degrees of freedom.
The hypothesis can be defined as follows:
[tex]\text{H}_{0}:\ \mu_{d}=0\\\\\text{H}_{a}:\ \mu_{d}<0[/tex]
(b)
Compute the test statistic as follows:
[tex]t=\frac {\bar d-\mu_{d}}{\sigma_{d}/\sqrt{n}}[/tex]
[tex]=\frac{-0.50-0}{0.7071/\sqrt{10}}\\\\=-2.2360894\\\\\approx -2.2361[/tex]
The test statistic is -2.2361.
(c)
Compute the p-value as follows:
[tex]p-value=P(t_{n-1}<t)\\\\=P(t_{9}<-2.2361)\\\\=0.026[/tex]
The p-value of the test is 0.026.
(d)
It is provided that the significance level of the test is, α = 0.05.
Which fraction is equivalent to 2/-6? -2/6 2/6 -2/-6 6/2
"Find the surface area of the following shapes. Round to the nearest tenth if necessary." Is this correct? (Bold Mikado is my work.)
Answer:
360 cm^2
Step-by-step explanation:
First find the area of the bottom
10*10 = 100
The find the area of one of the triangular shapes
A = 1/2 bh since it is a triangle
A = 1/2 ( 10)*13 = 65
Since there are 4 triangles ( 1 for each side), multiply by 4
4*65 = 260
Add the areas together
260+100 = 360
find the equation of the lines passing through the points (2,1) and (5,10)
Answer: y = 3x - 5
Step-by-step explanation:
Answer: y=3x-5
Step-by-step explanation:
Can someone help me with this please
Answer:
None of the choices are correct
Step-by-step explanation:
As you can see in the figures, the side lengths of ABC are twice the length of the corresponding sides of MNL. So the scale factor from ABC to MNL would 1/2, which is not any of the options.
Which of the following rigid motions is used to prove that vertical angle pairs are congruent? (1) a rotation by 90 about the intersection of the lines creating the vertical angles (2) a rotation by 180 about the intersection of the lines creating the vertical angles (3) a translation in the direction of one of the lines creating the vertical angles (4) a reflection across one of the lines creating the vertical angles
Answer:
(2) a rotation by [tex]180^{0}[/tex] about the intersection of the lines creating the vertical angles.
Step-by-step explanation:
Rigid motion are a set of transformation procedure to change the dimension, orientation or size of a given figure or shape. It involves rotation, translation, reflection and dilation.
Vertical angles are formed when two straight lines intersect to form angles. But two opposite angles called vertical angles are equal. To prove that vertical angles are equal; a rotation by [tex]180^{0}[/tex] about the intersection of the lines creating the vertical angles is required.
which of the following is equivalent to this?
a: b over a divided by d over c
b: a over b divided by d over c
c: b over a divided by d over c
d: b over a divided by c over d
please help me!
Answer:
b: a over b divided by do over c
Step-by-step explanation:
You can solve this by plugging in numbers for each variable.
For example: a=1, b=4, c=1, d=2
1/4 ÷ 1/2 = 0.125
If you plug in the numbers for all the equations listed, only 1/4 ÷ 2/1 = 0.125.
Marcus is wanting to prove that parallelogram ABCD is a square. He shows that opposite sides are congruent and opposite sides are parallel. Can he conclude ABCD is a square? Why or why not. Explain your reasoning in complete sentences.
Answer:
It cannot be concluded that ABCD is square.
Step-by-step explanation:
parallelogram is a quadrilateral whose opposite side are parallel
it may or may not have angles right angled.
For a quadrilateral to be square following condition should be satisfied
1: opposite side parallel
2: all side congruent
3: All angles right angle.
____________________________________________
coming back to question
given
Marcus shows that opposite sides are congruent and opposite sides are parallel.
He says that opposite sides are congruent but no information is given about adjacent side. Adjacent side should also be congruent
Also , criteria of right angle is not also mentioned which is mandatory to prove shape of square.
Based on above information,
ABCD can also be
Rectangle and Rhombus, as both also have opposite sides congruent and opposite sides parallel.
Hence, it cannot be concluded that ABCD is square.
Answer:
what the other person said,
What type of error is present in the underlined
sentence?
Which is the best revision to fix the error?
Answer:
Type of error: Run-on(comma splice).
Best revision to fix it: Adding a semicolon after beginners .
Explanation:
A run-on sentence is described as a sentence in which two independent clauses are joined inappropriately. It could be either comma splice where the two independent clauses are incorrectly linked using a comma or fused sentence when the two clauses run-on without employing appropriate coordinating conjunction or punctuation marks to separate the two ideas.
In the given sentence, it exemplifies a comma splice type of run-on sentence error. To fix this error, a semicolon after 'beginners' can be employed instead of a comma. This will help in connecting the two ideas appropriately where the first idea leads the second. Thus, the final sentence reads as:
'The guitar is another excellent instrument for beginners; however, it takes more practice than a recorder.'
Answer:
Many people play a musical instrument music can be soothing. A lot of schools teach the recorder; it is inexpensive and easy to play. The guitar is another excellent instrument for beginners, it takes more practice than a recorder.
What type of error is present in the underlined sentence?
✔ run-on
Which is the best revision to fix the error?
✔ adding a semicolon after instrument
Step-by-step explanation:
if x=2 find y 5x-y=5
Answer:
y=5
solution,
X=2
now,
[tex] \\ 5x - y = 5 \\ or \: 5 \times x - y = 5 \\ or \: 5 \times 2 - y = 5 \\ or \: 10 - y = 5 \\ or \: - y = 5 - 10 \\or \: - y = - 5 \\ y = 5[/tex]
hope this helps..
Good luck on your assignment..
Please help me with this problem, I can't figure it out
Answer: 44
Step-by-step explanation:
This is a confusing problem to look at, so use PEMDAS(parenthesis, exponents, multiplication, division, addition, subtraction).
5 * (-4) + (1 - (-3)^2)^2 simplify inside the parenthesis
5 * (-4) + (1 - 9)^2
5 * (-4) + (-8)^2 simplify exponents
5 * (-4) + 64 multiply
-20 + 64 finally, addition
44
Refer to the following frequency distribution of days absent during a calendar year by employees of a manufacturing company:_______.
Days Absent Number of employees
0 up to 3 60
3 up to 6 31
6 up to 9 14
9 up to 12 6
12 up to 15 2
How many employees were absent fewer than six days?
Answer:
91 employees
Step-by-step explanation:
To find the number of employees absent fewer than six days...add the frequency of those absent for 0 to 3 days and that of 3 to 6 days
The frequency of 0 to 3 days = 60
The frequency of 3 to 6 days = 31
Thus, the numbers of employees absent fewer than 6 days is 60+31 = 91
A courtyard has a shallow fish pond in the shape of a square. The perimeter of the pond is 24 ft, and the water is 6 in deep. In cubic feet, what is the volume of the water in the pond
Answer:
216 cubic feet
Step-by-step explanation:
Given that shape of pond is square
for square if x is the length of side then perimeter of square is given by
4x.
Given that perimeter of pond is 24ft
then
4* side of pond = 24 ft
side of pond = 24/4 ft = 6ft
area of square = side^2
Volume of any regular geometrical figure is given by
area of base * height
For pond
area of base = area of square = 6^2 = 36 square feet
depth of water in the pond = 6ft
Thus , volume of water = depth of water * area of base of pond
volume of water = 36 * 6 cubic feet = 216 cubic feet.
