A chemist made six independent measurements of the sublimation point of carbon dioxide (the temperature at which it changes to dry ice). She obtained a sample mean of 196.64 K with a standard deviation of 0.66 K.
1. Use the Student’s t distribution to find a 95% confidence interval for the sublimation point of carbon dioxide.
2. Use the Student's t distribution to find a 98% confidence interval for the sublimation point of carbon dioxide.
3. If the six measurements had been 196.35, 196.32, 196.4 198.02, 196.36, 196.39, would the confidence intervals above be valid? Explain.
Answer:
(195.733, 197.547)
Step-by-step explanation:
Given that:
Mean, m = 196.64 K
Standard deviation, s = 0.66 K
Sample size, n = 6
Confidence interval :
Mean ± margin of error
Margin of error =Tcritical * s/sqrt(n)
Tcritical at α = 98% ; df = 6 - 1 = 5
Tcritical = 3.3648
Margin of Error = 3.3648 * 0.66/sqrt(6) = 0.9066
Confidence interval = 196.64 ± 0.9066
Lower boundary = 196.64 - 0.9066 = 195.733
Upper boundary = 196.64 + 0.9066 = 197.547
(195.733, 197.547)
Given the measurement :
X = 196.35, 196.32, 196.4 198.02, 196.36, 196.39
Mean = ΣX / n = 1179.84 / 6 = 196.64
Yes, confidence interval will be valid as theean obtained is within the calculated interval
Enter an
algebraic expression for the word expression.
9 decreased by n
The expression is
Answer:
9 - n
Step-by-step explanation:
could you make me brainliest if this helped? :)
jay has an album that holds 600 coins. Each page of the album holds 6 coins. If 39% of the album is empty, how many pages are filled with coins ?
____ pages are filled with coins
Pls help me with this
9514 1404 393
Answer:
61
Step-by-step explanation:
If there are 6 coins on each page, then the number of pages for 600 coins is ...
(600 coins)/(6 coins/page) = 100 pages
__
If 39% are empty, then 100% -39% = 61% are filled.
The number of filled pages is ...
61% × 100 = 61/100 × 100 = 61 . . . . pages filled
_____
Comment about percent
You can think of the percent symbol (%) and "per 100" (/100) as being interchangeable. 61% = 61/100
("Cent" is used to signify one of 100 parts. A cent is 1/100 of a dollar, for example. In land area, a cent is 1/100 of an acre. Then, "percent" can be thought of as "per cent" or "per 100 parts".)
Need help!!! Quick !!!
Answer:
(2, 24) (6, 72) (9, 108)
Step-by-step explanation:
For this one, we know that 2 chairs use 24 screws, which must mean that for each chair, 12 screws are needed, so we can just multiply 12 by the number of chairs being built (ex. 6) to find out how many screws are needed in total. I hope this helps :)
It takes half of a yard of ribbon to make a bow, how many bows can be made with 7 yards of ribbon
Answer:
14
Step-by-step explanation:
A rectangular prism has a length of 12 feet, a width of 6 feet, and a height of 2 feet.
What is the volume of the prism?
Enter your answer.
what are the solutions of x^2-2x+2=0
Find the exact perimeter of the circle with a radius of 5 and round your answer to 2 decimal places
Answer:
31.42
Step-by-step explanation:
Find the absolute value
-5/6|
Answer:
5/6 OR 0.83 (with the three repeating)
Hope that helps!
Step-by-step explanation:
Write an expression using an expoent that is equivalent to 9x9x9x9x9x9x9.
Answer:
try nine to the seventh power
Step-by-step explanation:
tell me if it works
6(s+t)=(6•s)+(6•t)
What property is shown above?
please help me please
Answer:
18.75
Step-by-step explanation: Because the height of the shape is both the same, you can just find the area like the normal rectangle.
Answer:
12.5
Step-by-step explanation:
If you use the formula you get 12.5 formula is A=a+b/2xh that will give 12.5
the question is in the picture
9514 1404 393
Answer:
b = 2.8253A = 45.2°C = 107.4°Step-by-step explanation:
The given sides form the given angle, so the Law of Cosines can be used to find the third side.
b = √(a² +c² -2ac·cos(B)) ≈ √7.982544072 ≈ 2.8253
The measure of angle A can be found from the Law of Sines.
A = arcsin(a/b·sin(B)) ≈ arcsin(0.71017) ≈ 45.2°
Angle C can be calculated from the other two angles.
C = 180° -27.4° -45.2° = 107.4°
gina sees a rectangular quilt with an area of 3,528 square inches.The length of the quilt is 72 inches. what is the width of the quilt
Answer:
Step-by-step explanation:
90 x 108 = 10,368 x .015 = 155.52
There is a $35 minimum for all quilting.
Thread will be matched as closely as possible to your quilt. There will be a $5.00 minimum charge on thread. Variegated threads will be a $7.50 charge. We like to use cone threads so please do not bring small spools to be used.
Battings:
We keep the following batts in stock as prepackaged, precut sizes:
Hobbs Poly Down - White and Black, Hobbs Heirloom (80%cotton / 20% poly) Cream, Hobbs Organic Cotton without Scrim (this should not be used on light colored fabrics), Hobbs Wool, Dream Poly—White and Black, Warm and Natural—cotton Cream, Dream Cotton—White and Cream
The following are sizes available:
Crib 46 x 60 Full 92 x 96 Craft 36 x 46
Throw 60 x 60 Queen 92 x 108
Twin 72 x 92 King 121 x 121
Linings:
If you supply the lining, please be sure it measures at least 4” larger than the length and width of the quilt top. We can also supply the lining from our own fabric at the retail cost. If the lining requires piecing, we can do this for a $10 per seam fee.
Bias Bindings can be put on at Quilt ‘N Stitch. We provide the following services. (You must provide the fabric for the binding.)
1. The fee to half bind in $.15 per linear inch. (Half bind is where we attach the binding to the quilt front and you sew down the back.
2. If we do complete binding, finishing on the machine the fee is $.20 per linear inch.
3. If we do complete binding, finishing by hand the fee is $.25 per linear inch..
Yardage required for binding: 60” x45” — 1/2 yard: 90” x 72” — 5/8 yard: 81” x 96” — 2/3 yard: 90” x 108” — 3/4 yard: 120” x 120” — 1 yard.
Answer:
49 inches is the width
Step-by-step explanation:
3,528÷72=49
49*72=3,528
hope this helps <3
0.5 to the second power x (20-2 to the third power x 3)x(2/5x25)
Answer:
489
Step-by-step explanation:
pls can someone help me with this I have 10 mins pls!!!
Answer:
I THINK THIS WILL BE THE ANSWER
Step-by-step explanation:
have a nice day and also i have mathswatch too
What is the range of the function f(x)=−3^x − 4?
(−3,∞)
(−4,∞)
(−∞,−3)
(−∞,−4)
If you culd please explain thanks
Answer:
(-oo, -4)
Step-by-step explanation:
The y-intercept is -4 and the function is negative. The y value continues infinitely downward and never rises past -4.
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number less than 13.
The probability of rolling a number less than 13 is
(Type an integer or a simplified fraction)
The probability of rolling a number less than 13 is 1 in 12, 1/12, or %8.3 chance
Answer:
Step-by-step explanation:
In a class of 30 students 16 have a cat and 15 have a dog there are 11 students who have a cat and a dog what is the probability that a student has a dog given they do not have a cat?
The probability that a student has a dog given they do not have a cat is 0.1333.
What is probability?Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Total number of students = 30
[tex]n(s)=30[/tex]
Number of students have cat = 16
Number of students have dog = 15
Number of students have a cat and a dog = 11
The event is the probability that a student has a dog given they do not have a cat,
[tex]n(e)=15-11[/tex]
⇒ [tex]4[/tex]
Thus the probability that a student has a dog given they do not have a cat is
⇒ [tex]P(e)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(e)=\frac{4}{30}[/tex]
⇒ [tex]P(e)=0.1333[/tex]
Hence we can conclude that the probability that a student has a dog given they do not have a cat is 0.1333.
Learn more about probability here
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if two cards are chosen from a pack of 52 play cards at a time with replacement , what is the probability of getting one heart?
Can anyone help me out with permutations and combinations. I really need help. A Levels
Answer:
la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
First to answer get brainliest.
If the equation given to you as a reference is, p = x - 3 + (14*29), and x is 7, then what is p? I made it fairly easy so don't disappoint me.
Answer:
see explanation
Step-by-step explanation:
p = x - 3 + (14*29)
substitute 7 for x
p=7-3+(14*29)
p=410
Jake has 40 books in his collection. If 60% of the books are about sports, how many books are NOT
about sports?
Thanks if you helped ily
Answer:
R.Jordan
Step-by-step explanation:
He/she owes the bank $54.31, compared to M. Palmer who owes the bank $56.72, and B. Leftwich, who owes the bank $74.19.
R.Jordan owes the bank the least amount of money.
Hope that helps!
-Sabrina
factorise fully 24squared + 18x
Answer:
18(32+ x)Step-by-step explanation:
24 square + 18x 576 + 18 x18(32+ x)A sports trainer has monthly costs of $65.94 for phone service and $42.23 for his website and advertising. In addition, he pays a $30 fee to the gym for each session in which he trains a client. Write a cost function to represent the C(x) for x training sessions. C(x) =
Answer:
C(x) = 138.17
Step-by-step explanation:
2 2/5 x 3/4
plz help me! and plz show your work.
Answer:1.8
Step-by-step explanation:
The width of a rectangle is 5 centimeters less than the length . The area of the rectangle is 36 centimeters.find the length?
Answer:
9 centimeters
Step-by-step explanation:
Let the width be represented by l - 5, where l is the length.
Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor
A = lw
36 = l(l - 5)
36 = l² - 5l
0 = l² - 5l - 36
Factor:
(l - 9)(l + 4)
Set equal to zero and solve for both solutions:
(l - 9)(l + 4) = 0
l - 9 = 0
l = 9
l + 4 = 0
l = -4
The length cannot be negative, so the answer has to be 9.
The length is 9 centimeters
For the function f(x) = x2
Find f(5) =
Find f(-5)
Answer:
f(5)=(5)²=25
f(-5)=(-5)²=25
NB. Some teachers don't want 2 equals on one line, if it's your case please don't write the 2 equals on the same line
plz help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
a 12/20 = 0.6
b 21/35 = 0.6
c 28.8/48 = 0.6