Answer:
Mean = 21.413
Median = 16.5
Standard deviation = 19.182
0.768
Step-by-step explanation:
Given the data :
Ordered data, X : 4.3 6.1 7.4 10.7 13.1 13.6 14.7 16.5 17.1 17.4 18.7 22.3 36.7 43.2 79.4
The sample size, n = 15
The mean, m= ΣX / n = 321.2 / 15 = 21.413
The median, Md:
1/2(n + 1)th term
1/2 (15 +1) th term
1/2(16) = 8th term
Median = $16.5
The standard deviation, s = √[Σ(x - m)²/ n]
The standard deviation obtained using a calculator is ; 19.182
Coefficient of skewness : = 3(m - Md) / s
= 3(21.413 - 16.5) / 19.182
= 14.739 / 19.182
= 0.768
Expresa los siguientes números sin potencia de base 10
Answer:
no se guey..... pero gudluc
Customers at Costco spend an average of $130 per trip (The Wall Street Journal, October 6, 2010). One of Costco's rivals would like to determine whether its customers spend more per trip. A survey of the receipts of 25 customers found that the sample mean was $135.25. Assume that the population standard deviation is $10.50 and that spending follows a normal distribution.A. Specify the appropriate null and alternative hypotheses to test whether average spending at the rival's store is more than $130.B. Calculate the value of the test statistic.C. Calculate the p-value. D. Calculate the critical value
Answer:
A. The null hypothesis is [tex]H_0: \mu = 130[/tex].
The alternative hypothesis is [tex]H_a: \mu > 130[/tex]
B. The value of the test statistic is [tex]t = 1[/tex]
C. The p-value is of 0.1636.
D. The critical value is [tex]t_c = 1.711[/tex]
Step-by-step explanation:
Question a:
Customers at Costco spend an average of $130 per trip (The Wall Street Journal, October 6, 2010). One of Costco's rivals would like to determine whether its customers spend more per trip.
At the null hypothesis, we test if the mean is the same as Costco's, that is:
[tex]H_0: \mu = 130[/tex]
At the alternative hypothesis, we test if the mean is more than 130, that is:
[tex]H_a: \mu > 130[/tex]
B. Calculate the value of the test statistic.
The test statistic is:
We have the standard deviation for the sample, so the t-distribution is used to solve this question.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
130 is tested at the null hypothesis:
This means that [tex]\mu = 130[/tex]
A survey of the receipts of 25 customers found that the sample mean was $135.25. Assume that the population standard deviation is $10.50 and that spending follows a normal distribution.
This means that [tex]n = 25, X = 135.25, s = 10.50[/tex]
Then
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{135.25 - 130}{\frac{10.50}{\sqrt{25}}}[/tex]
[tex]t = 1[/tex]
The value of the test statistic is [tex]t = 1[/tex]
C. Calculate the p-value.
Test if the mean is more than a value, so a right-tailed test.
Sample of 25, so 25 - 1 = 24 degrees of freedom.
Test statistic of t = 1.
Using a t-distribution calculator, the p-value is of 0.1636.
D. Calculate the critical value
24 df, using the standard 0.05 significance level.
Using a critical value calculator, the critical value is [tex]t_c = 1.711[/tex]
Graph the image of rectangle after a translation 6 units right and 1 unit down.
Answer:
see image
Step-by-step explanation:
one by one, move each point
The missing number in the sequence 2, 5, 10, ?, 26, 37 is .........?
Answer:
17.
Step-by-step explanation:
The differences form an arithmetic sequence 3, 5, 7, 9,,11.
The missing number is 10 + 7 = 17.
This is a quadratic sequence.
The nth term = n^2 + 1.
Thus the 4th term = 4^2 + 1 = 17.
Can someone solve question c ?
y>2x y>3 orderd pair
[tex]y > 2x \: y \: > \: 3 \: \\ solve \: for \: x \\ x \: € \: ( \frac{3}{2y} \: \frac{1}{2} )\: y > \: 3 \\ solve \: for \: y \\ y \: > \: \frac{3}{2x} \: x \: > \: 0 \: and \: x \: < \: \frac{1}{2} [/tex]
HOPE IT HELPS!!!I NEED BRAINLIEST ✌️A bag contains 10 discs.
Each disc is labelled with a different number from 1 to 10
Adinis chosen from the bag at random
Write down the probability that the chosen disc is
(a) the number 3
(b) a number loss than four
(c) a square number
(d) a prime number
Help please !!!
Answers:
(a) 1/10(b) 3/10(c) 3/10(d) 2/5===========================================
Explanations:
Part (a)
There is only one disc labeled "3" out of 10 total. So we end up with the probability 1/10.
---------------------
Part (b)
The list of numbers less than 4 are {1,2,3} which are 3 items out of 10 discs. We end up with 3/10.
---------------------
Part (c)
A square number, aka a perfect square, smaller than 10 is the list {1,4,9}
Since 1 = 1^2, 4 = 2^2 and 9 = 3^2
Like part (b), we end up with the same result of 3/10.
---------------------
Part (d)
The list of primes smaller than 10 is {2, 3, 5, 7}. Notice that 1 is not prime.
So we end up with 4/10 = 2/5.
Franklin can jog approximately 2,000 meters in 4 minutes. Express this rate as a unit
rate.
I need it in step by step
You always get a unit rate from dividing. You always have two ways to do it, and get two unit rates, but one of them is more helpful.
2000 meters/4 minutes = 500 meters per minute
4 minutes/2000 meters = 0.002 minute per meter
(By the way ... Franklin is "jogging" a 3:13.12 mile. The world record is 3:43.13 .)
Here are 30 best lifetime baseball batting averages of all time, arranged in order from lowest to highest
Which of the diagrams below represents the statement "If it is a tree, then it
has leaves"?
has leaves
tree
tree
has leaves
Figure A
Figure B
O A. Figure A
O B. Figure B
The correct answer is A. Figure A.
What is mathematical statement?A mathematical statement is a declarative sentence that expresses a truth or falsehood using mathematical symbols. It is usually made up of two terms that are related by an operator, such as an equals sign. Mathematical statements can be used to prove results, solve equations, and make predictions about the behavior of systems.
This diagram represents the statement "If it is a tree, then it has leaves" because the top box is labeled "tree" and the bottom box is labeled "has leaves". The arrow running between them indicates that if the condition of the top box is true, then the bottom box is also true. This is an example of a conditional statement.
To know more about mathematical statement click-
https://brainly.com/question/27839142
#SPJ1
Which of the following is an example of data organization?
A. administering questionnaires
B. calculating a standard deviation
c. representing data with a histogram
D. declaring a statistically significant difference between groups
c) representing data with a histogram is an example of data organization
PLease Help!! will mark brainilest!!
Answer:
(x+4)(x+6)
Step-by-step explanation:
(x^2+4x)+(6x+24)
x(x+4) 6(x+4)
(x+4) (x+6)
Determine the perimeter of the figure below
Answer:
39 feet
Step-by-step explanation:
p = 15 + 8 + 10 + 6
p = 39
39 feet
Triangle ABC will be translated right 3 units and down 5 units to create triangle A'B'C'. What are the coordinates of B'?
Answer:
B'(4, 0)
Step-by-step explanation:
B (1, 5)
it translated right 3 units => x'=x+3
down 5 units => y'= y-5
NA
4
which is the graph of the linear inequality y < 3x + 1
Answer:
D
Step-by-step explanation:
Answer:0
Step-by-step explanation:
because 3x+1 is 0
The 3x+1 Conjecture asserts that, starting from any positive integer n, repeated iteration of this function eventually produces the value 1.
A restaurant is planning its staffing for weekday dinners. It finds that the number of customers is normally distributed. Which calculation would help them determine the most likely range of customers arriving for that meal
Answer: hypothesis testing with a null hypothesis that the number of customers is less than or equal to the usual number.
Step-by-step explanation:
Your question isn't complete as you didn't provide the options. These are given above.
Based on the options, the calculation that would help them determine the most likely range of customers arriving for that meal is a hypothesis testing with a null hypothesis that the number of customers is less than or equal to the usual number.
The sum of the angles of a triangle is
Select one:
a. 360
b. 180
c. 90
d. 60
Answer: b. 180
Step-by-step explanation:
The sum of the angles of a triangle is 180°.
Step-by-step explanation: The sum of all the interior angles is always180°
Given A = (-1 -2 3 4 8 -6 0 1 5) and B = (-5 -1 6 4 1 2 0 -3 2) What is X if B - X = A?
Answer:
5(-3)2-2(-3)+1. =5(9)+6+1. =45+7 ... 7x – 6= 0). (3x + 2)(x – 3)=0. =3x + 2 = 0; x – 3 = 0. _486x 5 – 7x. 1 1 8 1 6. uh this is hard..
Step-by-step explanation:
Which is shown by the map
Answer:
A
Step-by-step explanation:
Well I am not fully sure but I would say A
What is an
equation of the line that passes through the points (0, -1) and (6, 1)?
Answer:
y = 1/3x -1
Step-by-step explanation:
The slope is y2 - y1 / x2 - x1
y2 is 1
y1 is -1
x2 is 6
x1 is 0
So it is 1 - (-1) / 6 - 0, or 2/6, or 1/3
The slope is 1/3.
The y-intercept is the place where x is 0. It shows the y-intercept here as
(0, -1), The y-intercept is -1
Slope form is y = mx + b. m is the slope, 1/3, and b is the y-intercept, -1
So the equation is: y = 1/3x -1
find <BDC. (no lines are parallel)
Answer:
35 degrees
Step-by-step explanation:
180-55-55=70
180-70=110
180-110=70
70/2=35
Property: All straight lines from the centre of a circle are the same length, hence the triangles are isoceles.
======================================================
Explanation:
Inscribed angle ABC = 55 subtends the minor arc AC which is 110 degrees (use the inscribed angle theorem).
The inscribed angle BDC subtends the minor arc CB, which we'll call x for now.
The two minor arcs (AC and CB) combine to form the arc ACB. Note how this is a semicircle since AB is a diameter. For any semicircle, the arc measure is 180 degrees.
So,
(arc AC) + (arc CB) = arc ACB
110 + x = 180
x = 180-110
x = 70
This cuts in half to 35 which is the inscribed angle BDC, again we're using the inscribed angle theorem here.
Which of the following best describes the use of the formula S = (n - 2)180°,
where n is the number of sides?
A. It is used to find the number of interior angles in a regular polygon.
B. It is used to find the sum of the interior angles in a regular
polygon.
O c. It is used to find the sum of the exterior angles in a regular
polygon
O D. It is used to find the number of exterior angles in a regular
polygon
SUBMIT
A review of combination
Answer:
What is a Combination? A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order. Combinations can be confused with permutations.
#happylearning
Answer Question Pls? I need Help!!
Answer:
option D
Step-by-step explanation:
Take the two through which the lines passes.
Let it be ( -5 , 0) and ( 0 , -3)
Step 1 : Find slope, m
[tex]Slope,m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
[tex]= \frac{-3-0}{0--5} = \frac{-3}{5}[/tex]
Step 2 : Find the equation
[tex](y - y_ 1) = m( x - x_1)\\\\( y - 0) = \frac{-3}{5} (x --5) \\\\y = -\frac{3}{5}( x + 5 ) \\\\y = -\frac{3}{5}x - 3[/tex]
What’s the range of the given function?
I marked that answer by accident btw
The range of the given function is - 2
I don't know how to do this
Answer:
Step-by-step explanation:
yeah
Find the value of -6 + 8(-3) ÷ 4
please help me .
Answer:
-12
Step-by-step explanation:
cause from the rule
we should always solve from bracket so -3×8= -24
and -24/4= -6
and -6-6
= -12
A random sample of 50 male employees is taken at the end of a year and the mean
number of hours of absenteeism for the years is found to be 63 hours. A similar sample of
50 female employees has mean of 66 hours. Could these samples be drawn from a
population with the same mean and standard deviation 10 hours?
Answer:
Yes the samples can be drawn from a population with the same mean and standard deviation 10 hours
Step-by-step explanation:
We are given;
Sample mean for male employees; x1¯ = 63
Sample mean for female employees; x2¯ = 66
Sample size = 50
Standard deviation; σ = 10
First,let's define the hypotheses of the question;
Null hypothesis; H0: μ1 = μ2
Alternative hypothesis; Ha: μ1 ≠ μ2
Now, let's find the test statistic from the formula;
z = (x1¯ - x2¯)/(σ√(2/n))
Thus;
z = (63 - 66)/(10√(2/50))
z = -3/2 = - 1.5
Now, we are not given the significance value but usually when it is not given, we can adopt α = 0.05.
Thus, from online p-value from z-score calculator using; z = -1.5; α = 0.05; two tailed test; we have;
p-value = 0.13364
The p-value is greater than the significance value and thus we will fial to reject the null hypothesis and conclude that these samples can be drawn from a population with the same mean and standard deviation
This are 7 different questions please help me
Answer:
ccccccc is bebebebebebebeebebbeebebeb
Celeste is planning to buy a new bedroom set. Because sales tax rates can vary from town to town,
Celeste wants to compare the sales tax rates at two retail locations before making the purchase.
The price of the new bedroom set that Celeste wants to buy is $2,734. The sales tax rates in the
two cities at the time of purchase are given in the table.
9514 1404 393
Answer:
$13.67, Valdosta, Tallahassee
Step-by-step explanation:
The total sales tax rate in Valdosta is 4% +3% = 7%.
The total sales tax rate in Tallahassee is 6% +1.5% = 7.5%, which is 0.5% higher than in Valdosta. That percentage makes a difference in the final price of ...
0.5% × $2734 = 0.005×$2734 = $13.67
Celeste will save $13.67 in sales tax if she makes her purchase in Valdosta rather than Tallahassee .