g Cell phones. Following are last year's local monthly bills, in dollars, for a random sample of 50 cell phone users. 32.88,31.09.16.13,104.2,47.65,116.96,61.97,43.74,13.52,15,37,30.09,16.93,44.67,28.08,64.68, 16.17,28.04,57.67,14.62,61.32,35.64,88.95,50.48,16.41,16.56,13.48,27.10,15.50,19.95,23.45,4 6.24,41.8,49.35,81.16,28.80,32.48,28.95,31.60,35.6,24.74,44.82,51.62,42.04,22.43,46.54,48.3 2,24.53,77.21,15.12,126.84 At the 5% significance level, do the data provide sufficient evidence to conclude that last year's mean local monthly bill for cell phone users has decreased from the 2001 mean of $47.37
Answer:
At 5% significant level, there is sufficient evidence to suggest that last year's mean local monthly bill for cell phone users has decreased from the 2001 mean of $47.37
Step-by-step explanation:
The given data are presented as follows;
32.88, 31.09, 16.13, 104.2, 47.65, 116.96, 61.97, 43.74, 13.52, 15, 37, 30.09, 16.93, 44.67, 28.08, 64.08, 16.17, 28.04, 57.67, 14.62, 61.32, 35.64, 88.95, 50.48, 16.41, 16.56, 13.48, 27.10, 15.50, 19.95, 23.45, 46.24, 41.8, 49.35, 81.16, 28.80, 32.48, 28.95, 31.60, 35.6, 24.74, 44.82, 51.62, 42.04, 22.43, 46.54, 48.32, 24.53, 77.21, 15.12, 126.84
We note that there are 51 data points, however, the points, 15 and 37 are given without decimal place values and therefore, they are taken as one data point to make 50 data points.
The given sample size = 50
The mean mean of the given data, [tex]\overline x[/tex] ≈ 41.01
The standard deviation of the given data, s ≈ 26.59
The null hypothesis, h₀; μ = 47.37
The alternative hypothesis, hₐ; μ < 47.37
The significant level, α = 5%
Therefore, we have;
The test statistics is given as follows;
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]
Plugging in the values gives;
[tex]t=\dfrac{41.01-47.37}{\dfrac{26.59}{\sqrt{50}}} \approx -1.69131[/tex]
The critical-t at 5% at df = n - 1 = 51 - 9 = 49 degrees of freedom and significance level, α of 5% (0.05) from a calculator = -1.676551
Given that the test statistic is larger than the critical-t, we therefore reject the null hypothesis. There is enough statistical evidence to suggest that last years mean monthly bill for cell phone users has decreased from 2001 mean to $47.37.
for function of g,g(0)=1 and g(1)=5 assuming g is a linear function what is g(3)
Answer:
[tex]g(3) = 13[/tex]
Step-by-step explanation:
Given
[tex]g(0) = 1[/tex]
[tex]g(1) = 5[/tex]
Required
Find g(3)
Since g(x) is a linear function, then:
[tex]g(x) = mx + c[/tex]
For: [tex]g(0) = 1[/tex]
[tex]g(x) = mx + c[/tex]
[tex]g(0) = m*0 + c[/tex]
[tex]1 = 0 + c[/tex]
[tex]1 = c[/tex]
[tex]c = 1[/tex]
For: [tex]g(1) = 5[/tex]
[tex]g(x) = mx + c[/tex]
[tex]g(1) = m * 1 + c[/tex]
[tex]5 = m * 1 + c[/tex]
[tex]5 = m + c[/tex]
Substitute [tex]c = 1[/tex]
[tex]5 = m + 1[/tex]
[tex]m = 5 - 1[/tex]
[tex]m =4[/tex]
So, the function is:
[tex]g(x) = mx + c[/tex]
[tex]g(x) = 4x + 1[/tex]
Calculate g(3)
[tex]g(3) = 4*3 + 1[/tex]
[tex]g(3) = 12 + 1[/tex]
[tex]g(3) = 13[/tex]
The equation 4(x − 2)=100 is a true equation for a particular value of x. Explain why 2(x − 2)=50 is also true for the same value of x.
Please type the answer not a link
Answer:
See below.
Step-by-step explanation:
4(x − 2)=100
Divide both sides by 2.
4/2 (x - 2) = 100/2
2(x - 2) = 50
Since the equation 2(x - 2) = 50 is obtained by dividing the both sides of the first equation by 2, and that is a legal operation because of the division property of equality, then the second equation is equivalent to the first equation and has the same solution.
Can someone help me out here please?
Step-by-step explanation:
Area of circle:
A=π*(r^2)=π*(16^2)=256π ft^2
Area of the figure:
A=(3*256π)/4=192π=603.185=603.18 ft^2
A cereal box is 8.5 inches long, 3.5 inches wide, and 12 inches high.
What is the volume of the box?
Answer:
357 in³
Step-by-step explanation:
Sorry that the picture is rotated!
Elimination
3x +2y=9
3x ty=0
1
Answer:
[tex]y = 9[/tex]
[tex]x = -3[/tex]
Step-by-step explanation:
Given
[tex]3x + 2y = 9[/tex]
[tex]3x + y = 0[/tex]
Required
Solve by elimination
To do this, we subtract both equations (to eliminate x)
[tex]3x + 2y = 9[/tex]
- [tex]3x + y = 0[/tex]
--------------------
[tex]3x - 3x + 2y - y = 9-0[/tex]
[tex]y = 9[/tex]
Substitute [tex]y = 9[/tex] in [tex]3x + y = 0[/tex]
[tex]3x + 9 = 0[/tex]
Solve for 3x
[tex]3x =- 9[/tex]
Solve for x
[tex]x = -9/3[/tex]
[tex]x = -3[/tex]
Can Someone Help Me Pleaseee. ?
What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest form.
Answer:
V = 9/2 ft^3
Step-by-step explanation:
[tex]v = 2 \times 1 \frac{1}{2} \times 1\frac{1}{2} \\ \\ v = 2 \times \frac{3}{2} \times \frac{3}{2} \\ v = \frac{9}{2} \: \: {ft}^{3} [/tex]
I hope that is useful for you :)
With regard to financial terminology related to a home or other asset, the word
appreciate means to
a.
b.
grow in value
honor the terms and conditions of the loan agreement
pay off the mortgage or other debt
lose value due to the effects of inflation
C.
d.
Answer:
a. grow in value
Step-by-step explanation:
Financial accounting is an accounting technique used for analyzing, summarizing and reporting of financial transactions like sales costs, purchase costs, account payables and receivables of an organization using standard financial guidelines such as Generally Accepted Accounting Principles (GAAP) and financial accounting standards board (FASB).
This ultimately implies that, it involves specific processes such as recording, summarizing, analysis and reporting of financial transactions with respect to business operations over a specific period of time. Financial experts or accountant uses either the cash basis or accrual basis of accounting.
With regard to financial terminology related to a home or other asset, the word "appreciate" means to grow in value. Thus, an asset that appreciates simply means that it's growing in value over a specific period of time compared to it's initial value.
On the other hand, depreciation can be defined as the reduction of cost of a fixed asset systematically until the value of the asset becomes zero.
Help me please!!! Fasttt 75 points.
Solve.....
Answer:
-11/12
Step-by-step explanation:
The height of a plant in centimeters is recorded each day for 10 days. The function y = 1.73x + 1.87 is determined to
be a good fit for the data. On day 6 the recorded height was 12.5 cm. How close is the predicted height to the actual
height of the plant (the residual)?
15 points
Answer: 0.25 cm
Step-by-step explanation: The function y = 1.73x + 1.87 is used as a prediction. Since the answer is asking for how close the predicted height to the actual height is on day 6, we substitute 6 for x.
The function becomes like this:
y = 1.73(6) + 1.87
y = 10.38 + 1.87
y = 12.25
y = 12.25 cm is the predicted height on day 6. The actual height on day 6 recorded is 12.5 cm. We subtract the predicted height from the actual height and get 0.25 cm.
HHEEELLPPP!!!!! The probability of the spinner landing on an even number or a multiple of 3 is . The probability of the spinner landing on an odd number or a number between 4 and 15 (both numbers excluded) is .
Answer:
Down below
Step-by-step explanation:
The probability of the spinner landing on an even number or a multiple of 3 is ___?
1/6
1/3
1/2
2/3
5/6
The probability of the spinner landing on an even number or a multiple of 3 is ___?
13/18
1/3
7/9
2/3
5/6
Answer:
2/3 and 7/9
Step-by-step explanation:
got it correct on plato
Find the value of x. i’m so lost. it’s geometry!
Answer:
150°
Step-by-step explanation:
Consider OACB,
Here <CAO =<CBO= 90° ( As they are tangents)
<ACB= 30°
Now, <CAO +<CBO+<ACB+x= 360°
90°+90°+30°+x= 360°
x= 150°
Hope it helps
Answer:
150°
Step-by-step explanation:
Construct a line OC, and consider the resulting triangles ΔOAC.
<AOB=(1/2)x
<CAO=90
<ACO=30/2=15
Angles in a triangle add to 180, so
90+15+(x/2)=180
x/2=75
x=150°
I really need help with this
Answer:
Oh Stop!!!! This is sooooooooooooo easy! If you would just pay attention in school and not spend all your time trying to buy the new ipad pro maybe you would not have to go to Branily to get a simple answer! Do you think your teacher would like you cheating like this???? I dont think so. So get of of Branily and start studying!!!!
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
(a) ∠HIK and ∠GFD
Step-by-step explanation:
In this geometry, there are only two pairs of alternate exterior angles:
∠HIK and ∠GFD
∠JIK and ∠EFD
Of these, only the first pair is among the answer choices.
__
Alternate exterior angles are ones that are outside the parallel lines, and on opposite sides of the transversal.
A bag contains 6 red marbles, 5 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?
Answer:
Step-by-step explanation:
i think you meant whats the probabilty of it being red
if thats what you meant, then it would be:
total number of marbles : 18
number of red marbles: 6
probability of the green marbles: 6/18
so the answer is 1/3
Which scenario could be represented by the algebraic expression n minus 13? Ariel wants to find the difference of a number and 13. Ariel wants to find the product of 13 and a number. Ariel wants to find the sum of a number and 13. Ariel wants to find the difference of 13 and a number. HELPPPPP
Answer is in a photo. I can only upload it to a file hosting service. link below!
bit.[tex]^{}[/tex]ly/3a8Nt8n
Answer:
a
Step-by-step explanation:
Rotate the vector (3,-2) 90°
counter-clockwise about the
origin.
If the coordinate is (3, -2) then after the 90° counter-clockwise about the origin. Then new coordinate will be (2, 3).
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Convert the cartesian coordinate to the polar coordinate. Then we have
[tex]r = \sqrt{3^2 + (-2)^2}\\\\r = \sqrt{9 + 4 }\\\\r = 3.61\\\\\theta = \tan ^{-1}\dfrac{-2}{3}\\\\\theta = -33.69^o\\\\\theta = 326.31^o[/tex]
Then 90° counter-clockwise about the origin, then the angle will be
θ = 326.31 + 90 = 431.31
But θ is from 0 to 360. Then
θ = 431.31 - 360 = 56.31
Then convert the polar coordinate to the cartesian coordinate. Then we have
x = r cosθ
x = 3.61 × cos 56.31
x = 2
and
y = r sinθ
y = 3.61 × sin 56.31
y = 3
More about the coordinate geometry link is given below.
https://brainly.com/question/1601567
#SPJ2
Answer:
-2,-3
Step-by-step explanation:
An isotope of the element seaborgium has a half-life is 30 seconds. How much would there be left after one minute if we started with 4 pounds? Show all your work.
Answer:
Step-by-step explanation:
Find the area of the parallelogram shown below.
6
10
11
square units?
Answer:
66 Sq. un
Step-by-step explanation:
The Intuition for why the area of a parallelogram is A=bh (area = base x height)
The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.
Have a great day!
Use the area of the rectangle to find the area of the triangle
what is 3√500 in simplify form
answers
5√4
4√5
25√5
100√5
Answer:
30[tex]\sqrt{5}[/tex]
Step-by-step explanation:
3[tex]\sqrt{500}[/tex] = 3[tex]\sqrt{100}[/tex] [tex]\sqrt{5}[/tex] = 3(10)[tex]\sqrt{5}[/tex]
Answer:
none of the above
30√5
Step-by-step explanation:
3 √500
3√25x4x5
3x5x2√5
30√5
C=3y
2
+4y+4
D=−7y
2
+3y−6
Answer:
Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg
Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...
Occupation: Engraver, inventor, and printer
Born: Johannes Gensfleisch zur Laden zum G...
Died: February 3, 1468 (aged about 68); Mainz, ...
Known for: The invention of the movable-type ...
Early life · Printing method with... · Legacy · References
People also ask
Step-by-step explanation:
Item 1
The table gives estimated annual salaries associated with two levels of education.
Level of education High school diploma Trade school certification
Estimated annual salary $27,500 $48,000
Based on the table, how much more money would a person with a trade school certification earn than a person with a high school diploma over a 30 year career?
$20,500
$75,500
$82,500
$615,000
Answer:A) 20,500
Step-by-step explanation: because 27,000+48,00=75,00 so you divdie that by 30 and you will get your answer of 20,500
What number does 0.023 round to when rounded to the nearest hundredth?
Answer:
.02
Step-by-step explanation:
Can somebody help please?
¿Cuál es la diferencia entre
una cadena lineal saturada
y una insaturada?
Los alcanos son un ejemplo de compuestos saturados. ... Un compuesto no saturado o un compuesto insaturado es un compuesto químico que contiene enlaces carbono-carbono dobles o triples, como los que se encuentran en los alquenos o alquinos, respectivamente.
Answer:
Can you do it in english? I can't read in spanish sorry.
These two polygons are similar.
4
2
16
15
w
w = [?
]
Enter
Answer:
w = 12
Step-by-step explanation:
Answer:
W=9
Step-by-step explanation:
[tex] \frac{2}{6 } = \frac{4}{12} = \frac{3}{9} [/tex]
so W= 9
Landon used a semicircle, a rectangle, and a right triangle to form the figure shown.
6 cm
4 cm
10 cm
Which is the best estimate of the area of the figure in square centimeters?
represent 11 by 9 on a number line
Answer:
Fraction mulitiplication adding its c
Step-by-step explanation: