Answer: a. 1.981 < μ < 2.18
b. Yes.
Step-by-step explanation:
A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.
First, we calculate mean of the sample:
[tex]\overline{x}=\frac{\Sigma x}{n}[/tex]
[tex]\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}[/tex]
[tex]\overline{x}=[/tex] 2.08
Now, we estimate standard deviation:
[tex]s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }[/tex]
[tex]s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }[/tex]
s = 0.1564
For t-score, we need to determine degree of freedom and [tex]\frac{\alpha}{2}[/tex]:
df = 12 - 1
df = 11
[tex]\alpha[/tex] = 1 - 0.95
α = 0.05
[tex]\frac{\alpha}{2}=[/tex] 0.025
Then, t-score is
[tex]t_{11,0.025}[/tex] = 2.201
The interval will be
[tex]\overline{x}[/tex] ± [tex]t.\frac{s}{\sqrt{n} }[/tex]
2.08 ± [tex]2.201\frac{0.1564}{\sqrt{12} }[/tex]
2.08 ± 0.099
The 95% two-sided CI on the mean is 1.981 < μ < 2.18.
B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.
Solve for x: -8 < x - 1 < 5
Answer: −7<x<6
Step-by-step explanation:
−8<x−1<5
−8+1<x−1+1<5+1(Add 1 to all parts)
−7<x<6
Find the area of the shaded figure. 1 unit 1 unit
Answer:
area of shaded region =total area - outer shaded area
Answer:
udvugeciiffhi3fo
Step-by-step explanation:
bc whcehfiwhidheihgeigdi2iwg
Roshanna Lincoln's landscaping company ships its packages through Fleet Quick Delivery. Fleet charges $4 plus $0.60 per pound to ship each package. If the charge for shipping a package to Nevada was $15.40, how much did the package weigh math
Answer:
The package weighs 21.6 pounds
Step-by-step explanation:
$4 dollars + T(0.60 tax per pound) divided by 15.40( the full cost of the shipment)
15.40 divided by 0.60 = 25.6
25.6 - 4 = 21.6
-------------------------------
Answer: 21.6 Pounds
-------------------------------
I hope I helped :)
Would appreciate Brainliest ;)
owrite down the name of each of these triangles
Answer:
sry I don't know.
if someone answer tell me the answer I also want to know : )
Does the graph below represent a function?
yes
no
sometimes
not enough information
Answer:
yes it does represent a function.
Step-by-step explanation:
PLZ HELP!! I NEED QUICKLY!!
Choose 5 ordered pairs whose first and second coordinate are equal. Plot these points and connect them. What kind of figure do you get? In what quadrants does the figure lie?
Answer:
no worries about the other day and I had literally forgotten about the other night and was just so I could tell me how I felt and I had a flat rate that you and I had a
The figure of y = x will be a straight line with slope 1 and they ;lie in the first quadrant and the third quadrant.
What is Linear Function?A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables but does not have exponents to the variables or the exponent of the variable is 1.
We have to choose 5 ordered pairs first whose first and second coordinate are equal.
Let the coordinates be (-4, -4), (-2, -2), (0, 0), (2, 2) and (4, 4).
The ordered pairs are of the form (x, x), that both the coordinates have same value.
So we get a linear function y = x
The graph of a linear function will be a straight line.
Since y = x, the graph will be a straight line which tends to the positive direction and the slope of the line = 1.
That is , the angle that the line making with the X axis is 45°.
And the figure lies on first and third quadrant.
Hence the figure of y = x would be a straight line with slope 1.
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HELP!
Write two mixed numbers so that all rules are applied:
1. One number is larger than the other by 4 2/3
2. The difference of the numbers is equal to the smaller number.
3. The sum of the numbers is natural number
Answer:
Step-by-step explanation:
“One number is larger than the other by 4 2/3”
x = y + 4⅔
“The difference of the numbers is equal to the smaller number.”
x-y = y
x = 2y
y + 4⅔ = 2y
y = 4⅔
x = 2y = 9⅓
“The sum of the numbers is natural number”
x+y ∈ ℕ
9⅓ + 4⅔ = 14 ∈ ℕ
Answer:
9 1/3 and 4 2/3
Step-by-step explanation:
:)
In FGH, the measure of H=90°, HF = 91 feet, and GH = 50 feet. Find the measure of F to the nearest degree.
Answer:
28.8 degrees (rounded)
Step-by-step explanation:
you need to use tan^-1 in order to find x. tan is opposite side / adjacent side.
so...
tan^-1[tex]^[/tex](50/91) = 28.78661831
Answer:
Its 29
Step-by-step explanation:
I did the detla math
The ratio of pennies : nickels is proportional to the ratio of nickels : dimes,
and to the ratio of dimes : quarters. If you have one penny and two nickels,
how much money do you have?
Target buys video games for $25/game. They markup the price by 75%. How much do
they charge customers for a videogame? Do not enter a dollar symbol with your
answer.
9514 1404 393
Answer:
$43.75
Step-by-step explanation:
The amount of the markup is ...
$25 × 0.75 = $18.75
The final cost to the customer is ...
selling price = purchase price + markup
= $25.00 + 18.75 = $43.75
They charge customers $43.75 for a videogame.
HELP Please!!
Jonathan leans three playing cards against each other to form a triangle. He uses three more playing cards from the same deck to form a second triangle. Which statement is true?
1. In order to determine if the two triangles are congruent Jonathan must measure all three interior angles.
2. In order to determine the two triangles are congruent Jonathan must measure one interior angle .
3. The two triangles cannot be congruent because sides cannot be used to prove congruency.
4. The two triangles must be congruent because the corresponding sides in both triangles are congruent
Answer: Michelle it’s 4
Step-by-step explanation: they are from the same deck
A ____________________ is a measurement of the change in variables over a specific period of time.
Group of answer choices
an ordered pair
graph
table
rate of change
Answer:
rate of change
Step-by-step explanation:
The rate of change (ROC) is the speed at which a variable changes over a specific period of time.
39 - 15x if x = 2
Evaluate
HELP PLEASE!!
which shows 2÷3 written as a fraction? (options) a. 2/3 b. 3 1/2 c. 3/2 d. 2 1/3
Answer:
A. 2/3
Step-by-step explanation:
Fraction is another way to divide , So in some math problems they want you to either flip the fraction or divide the numbers .
Option A is correct, the expression 2÷3 written as a fraction is 2/3.
What is Fraction?A fraction represents a part of a whole.
We have to write 2÷3 as a fraction.
Two divided by three.
We have to split the number two by three parts.
We know that any division expression can be written as a fraction, the numerator is a part and denominator is a whole.
Two is the numerator and three is the denominator.
The numerator represents the part and three represents the whole.
This we can write in fraction as 2/3.
Two by three is the fraction form of two divided by three.
Where as [tex]3\frac{1}{2}[/tex], is not a fraction, it is a mixed number.
3/2, is not equivalent to 2 ÷ 3, it represents the fraction one and a half and [tex]2\frac{1}{3}[/tex] is not equivalent to 2 ÷ 3, it represents the mixed number two and one-third.
Hence, Option A is correct, the expression 2÷3 written as a fraction is 2/3.
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Bob and Larry went on a tricycle ride. They rode for the same amount of time, but Bob cycled 10 miles per hour slower than Larry. If Bob cycled 14 miles and Larry cycled 21 miles, find the speed that both Larry and Bod rode their tricycles.
Step-by-step explanation:
so basically they are asking you to subtract, hope this helps, use a calculator if needed
A student is able to finish 2 homework problems per hour. If they have already completed 4 problems, how many hours will it take for them to finish an assignment which has 18 problems total? Give your answer to two decimal places.
Answer:
Step-by-step explanation:
4+2t=18
2t=14
t=7 hours
Answer:
7.00 hours
Step-by-step explanation:
They already did 4 problems and need to do 18 problems in total.
18 - 4 = 14 problems
2 problems/ per hour
14 problems/ 7 hours
It will take them 7 hours to finish. Since you said "Give your answer to two decimal places." You could write it as 7.00 hours.
Acellus
Find the standard deviation of
the given data rounded to the
nearest hundredth.
3,4,5,7,10,12,15
Answer:
17.4
Step-by-step explanation:
3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8
(3^2 + 4^2 + 5^2 + 7^2 + 10^2 + 12^2 + 15^2)/7 - 8^2 = 17.14285714
17.14285714 = 17.4
Find the total of a
$60 meal with 15%
tip and 8% tax.
Answer: $73.8 15% of 60 is 9 and 8% of 60 is4.8 then if you add them all together you get 73.8$
Step-by-step explanation:
Answer:
$73.8
Step-by-step explanation:
(15+8)= 23 -> .23 = .23 times 60 = $73.8
What is (7-2)^2+3/ 1/6
( / ) this means divide and (^) that means to the power
Answer:
ewannnnnnnnnnnnnn
Step-by-step explanation:
d q den alam d pa namin pinagaaralan yan, xenxia na godbless
Find the average rage of change of each of the following functions over the interval 1 < × < 5.
5-x=3
Work out the value of x
Answer:
x = 2
Step-by-step explanation:
5 - x = 3
- x = 3 - 5
- x = - 2
x = 2
1. Frank is making a candle with the mold below. 4 in. 2 in. 2 in, He plans to fill half of the mold with wax. What volume of the mold will he fill? A 8 in. B 9 in.3 C 24 in. D 192 in.3
Answer:
A
Step-by-step explanation:
4x2x2=16
16/2=8
1 Which is the simplified form of the expression (1021495* (104)05) ?? 1 30 O O g30 012 060 O p12,60
Answer:
7
Step-by-step explanation:
I am not sure how to solve this could anyone help???
Answer:
about 137 degrees
Step-by-step explanation:
see attached picture
(Statistics) A local gym collects data on the number of memberships it sold in each month last year compared to the number sold in each month this year. For example, the January sales from last year are compared to the January sales from this year. Which of the following best describes the first step needed to simulate this data?
(Answer choices shown in photo. Will report fake/spam answers. Thanks for the help).
Answer:
Determine the proportion of months where memberships sold decreases,
increases and remained the same.
Step-by-step explanation:
I just took the test and got it correct.
The first step needed to simulate this data is:
Assign each month a digit from 1 to 24 to account for the 24 total months being compared.
Option B is the correct answer.
What is simulating data?Simulating data means creating artificial data that mimics the characteristics of real data.
This artificial data is generated by using a model or a set of rules that describe how the data might be generated under certain conditions.
We have,
The first step needed to simulate this data is to assign each month a digit from 1 to 24 to account for the 24 total months being compared.
This will allow for an easy comparison of the sales data from last year and this year.
Once each month has been assigned a digit, the data can be organized and analyzed to determine the proportion of months where memberships sold decreased, increased, and remained the same, as well as the mean monthly sales from last year and this year.
Finally, random digits can be assigned to each sales figure from last year and this year to create a simulated data set that can be used for further analysis and modeling.
Thus,
The first step needed to simulate this data is:
Assign each month a digit from 1 to 24 to account for the 24 total months being compared.
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Estimate the following product using a power of ten
what is the unit rate for 350 miles in 7 hours
Answer:
50 miles per hour
Step-by-step explanation:
Just divide 350 by 7
5.175 into a fraction
Which point(s) on the diagram show(s) the solution(s) to the equation x = x2 - 2x - 8?
solution 1
solution 2
Answer:here is the answer on yt
Step-by-step explanation:
https://youtu.be/dQw4w9WgXcQ
consider the function f(x)=2x-3
A) Evaluate f
Answer:
The Answer is a(x)+3x-10
Step-by-step explanation:
Answer:
please give f(?) like f of what? if you give that i will be able to help you more
Step-by-step explanation: