Complete question :
According to the National Association of Realtors, it took an average of three weeks to sell a home in 2017. Suppose data for the sale of 39 randomly selected homes sold in Greene County, Ohio, in 2017 showed a sample mean of 3.6 weeks with a sample standard deviation of 2 weeks. Conduct a hypothesis test to determine whether the number of weeks until a house sold in Greene County differed from the national average in 2017. Useα = 0.05for the level of significance, and state your conclusion
Answer:
H0 : μ = 3
H1 : μ ≠ 3
Test statistic = 1.897
Pvalue = 0.0653
fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.
Step-by-step explanation:
Given :
Sample size, n = 40
Sample mean, x = 3.6
Population mean, μ = 3
Standard deviation, s = 2
The hypothesis :
H0 : μ = 3
H1 : μ ≠ 3
The test statistic :
(xbar - μ) ÷ (s/√n)
(3.6 - 3) / (2/√40)
0.6 / 0.3162277
Test statistic = 1.897
Using T test, we can obtain the Pvalue from the Test statistic value obtained :
df = n - 1; 40 - 1 = 39
Pvalue(1.897, 39) = 0.0653
Decison region :
If Pvalue ≤ α ; Reject the null, if otherwise fail to reject the Null.
α = 0.05
Pvalue > α ; We fail to reject the Null ; Hence, we conclude that their is no significant to accept the claim that number I weeks taken to sell a house differs.
PLEASE! Is this correct?
What are the zeros of the function y = 2x2 + 9x+4 ?
Help pls! ;-;
Answer:
x = {-4, -1/2}
Step-by-step explanation:
2x² + 9x + 4 = 0
Factor
(2x + 1)(x + 4) = 0
2x + 1 = 0
x = -1/2
x + 4 = 0
x = -4
x = {-4, -1/2}
A square playground has an area of 10,000 ft? What is the side length of the
playground? Show your work.
SOLUTION
You have 10 shirts. How many ways can
you select 5 shirts to pack for a trip?
Answer:
their is 50 ways.......
The possible combination, 252 ways you can pack shirts for a trip.
What is a permutation?Mathematical calculations are used to determine the number of different configurations for a given set, and this procedure is referred to as permutation. A permutation is a phrase that, simply put, refers to the diversity of alternative configurations or ordering. When employing permutations, the sequence of the arrangement is crucial.
Formula for combination is
n!/(r! x (n-r)!),
where n is a number of shirts and r is the shirts selected.
In combination,
order doesn’t matter, as opposed to permutation.
According to the question,
n = 10 and r = 5
Then substituting the above values to the formula,
that means,
10! / ( 5! x 5!)
= 10x9x8x7x6 / ( 5x4x3x2x1)
= 252
Therefore, You can pack 5 shirts in 252 ways.
To learn more about the permutation;
https://brainly.com/question/1216161
#SPJ2
Here is the third problem:)
Answer:
15.0
Step-by-step explanation:
we are finidng the adjacent angle, they have given us the opposite and the missing adjacent side so we use tan
tan25=7/x
since x is at the bottom then switch
x= 7/tan25
x= 15. 012
Answer:
x = 15.01
Step-by-step explanation:
Given degrees 25
Since x is between the right angle and 25, x is adjacent
7 being the other shortest side would be the opposite
Given adjacent and opposite, you can use tangent
Tangent = opposite/adjacent
Tan(25) = 7/x
0.4663076582 = 7/x
x = 7/0.4663076582 (use calculator)
Solution: x = 15.0115484421
You are going to estimate how long a person holds down a button on their calculator by randomly selecting people and asking them to do something on your calculator (which has a special timer to record how long the enter button is pressed). You practiced on the people at work and found a standard deviation of about 0.37 seconds. You want to get a 94% confidence interval that is only 0.06 in width. How many people do you need to have in your study
Answer:
You need to have 538 people in your study.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.94}{2} = 0.03[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.03 = 0.97[/tex], so Z = 1.88.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
You practiced on the people at work and found a standard deviation of about 0.37 seconds.
This means that [tex]\sigma = 0.37[/tex]
You want to get a 94% confidence interval that is only 0.06 in width.
This means that [tex]M = \frac{0.06}{2} = 0.03[/tex]
How many people do you need to have in your study?
This is n for which M = 0.03. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.03 = 1.88\frac{0.37}{\sqrt{n}}[/tex]
[tex]0.03\sqrt{n} = 1.88*0.37[/tex]
[tex]\sqrt{n} = \frac{1.88*0.37}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.88*0.37}{0.03})^2[/tex]
[tex]n = 537.6[/tex]
Rounding up:
You need to have 538 people in your study.
1
1
1
4
2
4
2
2
3
9
343
4 16
4
1
B
D
y
ху
1 12
1 3
2
1
25
3 3/2
37
4
2
9
Which table shows y as DIRECTLY PROPORTIONAL tox?
0
A)
A
B)
B
D
D
D
Answer:
what are you trying to do or say
A cylinder has a base area of 64π m2. Its height is equal to twice the radius. Identify the volume of the cylinder to the nearest tenth.
V = 6434.0 m3
V = 2804.2 m3
V = 1402.1 m3
V = 3217.0 m3
Answer:
3215 .36 m³ is the required volume.
Step-by-step explanation:
Base area of Cylinder = 64π m²
Height of cylinder is equal to twice the radius .
As we know that ,
★Base Area of Cylinder = πr²
where,
π is taken as 22/7 or 3.14
r is the radius of cylinder
Substitute the value we get
↝ 64 π = πr²
↝ 64 = r²
↝ √64 = r
↝ 8 = r
↝ r = 8 m
Now, it is given that height is equal to twice of radius
Therefore ,
height = 2r = 2×8 = 16 m
★Volume of Cylinder = πr²h
substitute the value we get
↝ volume of Cylinder = 3.14 × 8² × 16
↝volume of Cylinder = 3.14 × 64 × 16
↝volume of Cylinder = 3215 .36 m²
Hence, the required volume of cylinder is 3215 .36 m³.
Answer:
3217.0
Step-by-step explanation:
You start driving east for 18 miles, turn right, and drive south for
another 5 miles. At the end of driving, what is your straight line
distance from your starting point? Round to the nearest tenth of a
mile.
Answer:
18.7
Step-by-step explanation:
Use the Pythagorean Theorem.
Simplify.
Simplify.
Square root both sides
Simplify. Ignore negative root, as length must be positive.
Round to the nearest tenth.
Answer:18.7
Step-by-step explanation:
Specialized license plates have seven permissible characters: letters, numbers, a dash (-)
and the ampersand (&). How many custom plates are available?
Answer:
[tex]Total = 38^7[/tex]
Step-by-step explanation:
Given
[tex]Plate\ Number = 7\ characters[/tex]
[tex]Letters \to 26[/tex] [tex]\to [A- Z][/tex]
[tex]Numbers \to 10[/tex] [tex]\to [0 - 9][/tex]
[tex]Dash \to 1[/tex] [tex]\to [ - ][/tex]
[tex]Ampersand \to 1[/tex] [tex]\to [\&][/tex]
Required
Number of possible characters
Since the order and ways of selecting each character is not selected, then it means that any of the permissible character can occupy any of the 7 available spaces, with repetition.
The total possible characters (n) is:
[tex]n = 26 +10 + 1 + 1[/tex]
[tex]n = 38[/tex]
Any of the 38 characters can occupy any of the 7 spaces.
Hence, the total number of character is:
[tex]Total = n^7[/tex]
[tex]Total = 38^7[/tex]
If a fair coin is tossed 7 times, what is the probability, to the nearest thousandth, of getting exactly 5 heads?
Answer:
0.164
Step-by-step explanation:
delta math said so but
n=7 ; r=5; p=1/2
q= 1- 1/2 = 1/2
7c5(1/2)^5 (1/2)^2 = 0.16406 which is 0.164
Decimal of 0.516÷4 With process
Find m∠1. 40 35 30 55
Answer:
m∠ = 90° - 40 = 50°
m∠ = 90° - 35 = 55°
m∠ = 90° - 30 = 60°
m∠ = 90° - 55 = 35°
Answer:
35 Degrees
Step-by-step explanation:
$1
$1 ($1
$1
$1
$1
$1
$1
$1 ($1
$1
$1
Marlon and Ricky split this
money in the ratio 1:3
Answer:
$1 dollar split into the ratio 1:3 is 0.25:0.75. Is that what you're looking for?
A list of numbers is shown; 1 2 3 4 5 6 7 8 9 10
what is the median
A.2
B.4
C.9
D.10
Answer:
5.5
Step-by-step explanation:
We have a list of 10 numbers (n = 10) ordered from lower to higher.
1 2 3 4 5 6 7 8 9 10
The median is the value separating the higher half from the lower half of a data sample. Since n is even, there is no middle value and the median is defined as the mean between the two middle values, in this case, 5 and 6. Then,
median = 5 + 6 / 2 = 5.5
Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is 7, Hannah wins. If the sum is not 7, Corrine wins. Corrine says Hannah can win only if the following occurs:
1 on the first cube, 6 on the second cube
2 on the first cube, 5 on the second cube
3 on the first cube, 4 on the second cube
Which best explains if Corrine is correct?
Corrine is correct because there are only three ways to have a sum of 7 when the cubes are rolled.
Corrine is correct because there are no 7s on the cubes, so Hannah must roll a greater number on the second cube.
Corrine is not correct because Hannah can also roll doubles on the cubes, such as 3 on the first cube and 3 on the second cube or 4 on the first cube and 4 on the second cube.
Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.
D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.
Step-by-step explanation:
To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:
1 on the first cube, 6 on the second cube
or
6 on the first cube, 1 on the second cube
2 on the first cube, 5 on the second cube
or
5 on the first cube, 2 on the second cube
3 on the first cube, 4 on the second cube
or
4 on the first cube, 3 on the second cube
Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.
Help please it important
corresponding angle because 1 is correspondence to 45 degree
What is the volume of the cylinder below?
Answer:
[tex]Volume=80\pi[/tex] [tex]units^{2}[/tex]
Step-by-step explanation:
Perpendicular height of the base of cylinder h = 5 units
Slant height I = 6 units
Radius of the cylinder r = 4 units
Volume of the lateral cylinder is
[tex]V = \pi r^{2} h[/tex]-----------(1)
Where r is radius of the cylinder
And h is perpendicular height of the base of cylinder.
Now, we substitute r and h value in equation 1.
[tex]V=\pi[/tex] × [tex]4^{2}[/tex] × [tex]5[/tex]
[tex]V=\pi[/tex] × [tex]16[/tex] x [tex]5[/tex]
[tex]V=\pi[/tex] × [tex]80[/tex]
[tex]V=80\pi[/tex] [tex]units^{2}[/tex]
Therefore, the volume of the given cylinder is [tex]80\pi[/tex] [tex]units^2[/tex].
James wants to 3D-print 8 model car pieces per hour for 10 hours. He can produce 5 model car
pieces using 50 grams of plastic.
How many grams of plastic will he need?
Answer:
80 grams of plastic
Step-by-step explanation:
5 model cars -- 50 grams
1 model car -- (50/5) = 10 grams
8 model cars -- (10 * 8) = 80 grams
Thenks and mark me brainliest :)))
to help consumers assess the risks they are taking, the food and drug administration (FDA) publishes the amount of nicotine found in all commerical brands of ciagrettes. a new ciagrette has recently been marketed. the FDA tests on this ciagrette yielded mean nicotine content of 24.3 milligrams and standard deviation of 2.1 milligrams for a sample of 9 ciagrettes. construct a 99% confidence interval for the mean nicotine content of this brand of ciagrette.
Answer:
The 99% confidence interval for the mean nicotine content of this brand of cigarette is between 21.95 and 26.65 milligrams.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 9 - 1 = 8
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.3554
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.3554\frac{2.1}{\sqrt{9}} = 2.35[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 24.3 - 2.35 = 21.95 milligrams
The upper end of the interval is the sample mean added to M. So it is 24.3 + 2.35 = 26.65 milligrams
The 99% confidence interval for the mean nicotine content of this brand of cigarette is between 21.95 and 26.65 milligrams.
3
4
5
I
9
Which is equivalent to 64 1/4?
3/12 is equivalent to 1/4 because 1 x 3 = 3 and 4 x 3 = 12. 4/16 is equivalent to 1/4 because 1 x 3 = 4 and 4 x 3 = 16. and so on ... Equivalent fractions may look different, but when you reduce then to the lowest terms you will get the same value.
Please If you plan to help me with any of these and respond to I would be grateful please show that this application is for good answers God bless you
Answer:
Step-by-step explanation:
Whether you’re job searching, working on your professional development, or building your career, you’ve probably been in a situation that warranted showing appreciation and gratitude. Perhaps you received a job lead and a pep talk from a former colleague. Maybe you had an informational interview with someone who has now taken you under their wing and is serving as a mentor. It might even be a family member who’s your greatest fan. Whatever the situation, one way to show gratitude is to write a thank-you note that expresses your appreciation.
Hey, can u help me with what to write
Answer:
Step-
In mathematics, a linear equation is an equation that may be put in the form a₁x₁+⋯+aₙxₙ+b=0, where x₁,…,xₙ are the variables (or unknowns), and b,a₁,…,aₙ are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables. To yield a meaningful equation, the coefficients a₁,…,aₙ are required to not all be zeroby-step explanation:
Check the equation for varying terms and constant terms. Usually, equations won't come with varying terms and constant terms lined up on separate sides.
In order to do this, you may have to subtract or add the numbers you want to move from both sides. ...
Move the varying terms to one side of the equation
A cone has a height of 20 centimeters and a radius of 18 centimeters. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
6785.84
Step-by-step explanation:
find the area of the triangle. Round
your answer to the nearest tenth.
Answer:
180 i think
Step-by-step explanation:
!!!!!!Please help ASAP!!!!!
AB and BC form a right angle at their point of intersection, B. If the coordinates of A and Bare (14, -1) and (2, 1), respectively, the y-intercept of AB is 4/3 and the equation of BC is y= 6 X + If the y-coordinate of point Cis 13, its x-coordinate is
Answer:
Step-by-step explanation:
Segments AB and BC intersect each other at 90° at B.
Let the equation of the segment AB → y = mx + b
Here, m = Slope of the line
b = y-intercept
Slope of the line AB passing through A(14, -1) and B(2, 1)
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{1+1}{2-14}[/tex]
= [tex]-\frac{2}{12}[/tex]
= [tex]-\frac{1}{6}[/tex]
Equation of the line will be,
[tex]y=-\frac{1}{6}(x)+b[/tex]
Since, AB passes through (2, 1)
[tex]1=-\frac{1}{6}(2)+b[/tex]
[tex]b=1+\frac{1}{3}[/tex]
[tex]b=\frac{4}{3}[/tex]
Therefore, y-intercept of AB = [tex]\frac{4}{3}[/tex]
Equation of AB → [tex]y=-\frac{1}{6}(x)+\frac{4}{3}[/tex]
Since, line BC is perpendicular to AB,
By the property of perpendicular lines,
[tex]m_1\times m_2=-1[/tex]
Here, [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of line AB and BC respectively.
By this property,
[tex]-\frac{1}{6}\times m_2=-1[/tex]
[tex]m_2=6[/tex]
Equation of a line passing through a point (h, k) and slope 'm' is,
(y - k) = m(x - h)
Therefore, equation of line BC passing through B(2, 1) and slope = 6,
y - 1 = 6(x - 2)
y = 6x - 11
Since, line BC passes through C(x, 13),
13 = 6x - 11
6x = 24
x = 4
Therefore, x-coordinate of point C will be, x = 4
A new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year. What will the value of the car be, to the nearest cent, after 15 years?
Answer:
1137004: A new car is purchased for 17000 dollars. The value of the car depreciates at 13.5% per year. What will the value of the car be, to the nearest cent, after 12 years?
Step-by-step explanation:
Don't give me a link.
Answer:
x = 3
Step-by-step explanation:
6(x+1) = 24
x+1 = 4
x = 3
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
x = 3
Step-by-step explanation:
Math solution to equation
6(x + 1) = 24
Divide both sides by 6
x + 1 = 4
Subtract 1 from both sides
x = 3
3) Assume the point of tangency at the
diameter. Solve for the value of x (be
careful, there is a trick!)
18
7.1
can anyone help me with this?
Answer:
x = 51
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Which means that 77 + 107 + 156 + 149 + x = 540
^ ( note that we just created an equation that we can
use to solve for x )
We then solve for x using that equation
77 + 107 + 156 + 149 + x = 540
step 1 combine like terms
77 + 107 + 156 + 149 = 489
we now have 489 + x = 540
step 2 subtract 489 from each side
489 - 489 cancels out
540 - 489 = 51
we're left with x = 51