Answer:
The calculated value of t= -0.21 does not lie in the critical region t= ± 2.120 Therefore we accept our null hypothesis that there's no difference between strength (psi) of liner specimens when a certain fusion process was used and when this process was not used at the 0.05 significance level
Step-by-step explanation:
The given data is
No Fusion :: 2748 2700 2655 2822 2511 3149 3257 3213 3220 2753
Yes Fusion :: 3027 3356 3359 3297 3125 2910 2889 2902
The calculated Means are
x1`= 2902.8
X2`= 3108.125
The standard deviations are
s1= 277.265
s2= 205.87
We are using Student's t- test
We formulate null and alternate hypotheses are
H0 : u1 - u2= 0 against Ha: u1 - u 2≠0
The Significance level alpha is chosen to be ∝ = 0.05
The critical region t ≥ t (0.025, 16) = ± 2.120
Degrees of freedom is calculated df = υ= n1+n2- 2= 10+8-2= 16
Here the difference between the sample means is x`1- x`2
=2902.8-3108.125
= -205.325
The pooled estimate for the common variance σ² is
Sp² = (n1-1) s1² + (n2-1) s2²/ n1+n2-2
= 9( 277.265)² + 7(3108.125)²/ 16
Sp² = 691,882.922+67,623,087.109/16
Sp= 2066.321
The test statistic is
t = (x`1- x` ) /. Sp √1/n1 + 1/n2
t= -205.325/ 2066.321 √1/10+ 1/8
t= -205.325/980.142
t= -0.2095= -0.21
Conclusion
The calculated value of t= -0.21 does not lie in the critical region t= ± 2.120 Therefore we accept our null hypothesis that there's no difference between strength (psi) of liner specimens when a certain fusion process was used and when this process was not used at the 0.05 significance level
5. PA license plates have 3 letters followed by 4 numbers.
a. If the same letter or number can be repeated, how many can be made?
b. If the same letter CANNOT be repeated, how many can be made?
Answer:
A. 175,760,000
B. 156,000,000
Step-by-step explanation:
For part A:
There are 26 letters in the alphabet. Therefore, if there are 3 spots to use 26 letters, that is represented as [tex]26^3[/tex]. As for numbers, there are 10 digits from 0-9. So if there are 4 spots for numbers, the total possible number of sequences is [tex]10^4[/tex]. So you simply multiply [tex]26^3[/tex] and [tex]10^4[/tex] to get 175,760,000 possible combinations.
For part B:
If the same letter can't be repeated, instead of using an exponent, we have to use a factorial, but only for the 3 digits required in the license plate. These are called permutations and can be expressed as [tex]_2_6P_3[/tex], which is the same as saying 26 x 25 x 24. Since there is no change to number of numbers, that remains the same.
[tex]_2_6P_3 * 10^4 =26*25*24*10^4=156,000,000[/tex]
Which of the following three-dimensional solids cannot be generated by rotating a two-dimensional figure around an axis?
sphere
pyramid
cylinder
cone
Answer:
Step-by-step explanation:
Sphere
Mrs. Silverstein bought 3 mini cakes for a birthday party. She cuts each cake into quarters and plans to serve each guest 1 quarter of a cake.
How many guests can she serve with all her cakes?
A store sells posters. Each poster costs the same amount. Durning a sale, the store produces the price of each poster by $1.35. Malika spends $7.08 on 2 posters at the sale price
If you don’t mind can you put an explanation so I can understand if that’s alright!
Answer:
its 18,2O596
Step-by-step explanation:
What is the following quotient?
6square + 11square divided by
5square +3 square
The location of a public library is 12 miles east of a residential apartment. The location of a school is 5 miles south of the residential apartment. What is the SHORTEST distance between the public library and the school?
Answer:
13 miles
Step-by-step explanation:
12 miles
Home --------------------------------------------------------Library
|
5 miles |
|
|
|
School
We can draw an imaginary line betwen school and library. by using the pythagoras theorem, because it is a right triangle. the distance between school and library is 13.
Heather received a 90 gift card for a coffee store. She used it in buying some coffee that cost $8.49 per pound. After buying the coffee, she had $56.04 left on
her card. How many pounds of coffee did she buy?
pounds
2
Answer:
Latoya bought 4 pounds of coffee.
Step-by-step explanation:
it sounds like you want to know how many pounds of coffee Latoya bought. First, let's figure out how much she spent. Subtract the amount she has left from the amount she started out with:
90 - 57.68 = 32.32
Latoya spent $32.32 on coffee. Since it cost $8.08 per pound, we can divide the total cost by 8.08 to figure out how many pounds she bought:
32.32/8.08 = 4
Latoya bought 4 pounds of coffee.
Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots. Which is the total weight of the lettuce and carrots in ounces?
A. 10 ounces
B. 12 ounces
C. 40 ounces
D. 72 ounces
The total weight of the lettuce and carrots in ounces is 40 ounces if Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots option (D) is correct.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We have:
Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots.
As we know:
1 pounds = 16 ounces
Amount of lettuce = 8 ounce
Amount of carrots = 2 pounds = 2×16 = 32 ounces
Total weight of the lettuce and carrots in ounces = 8 + 32 = 40 ounces
Thus. the total weight of the lettuce and carrots in ounces is 40 ounces if Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots option (D) is correct.
Learn more about the unit conversion here:
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100 POINTS!!!!!!! BRANLIEST!!
What is the exponential regression equation to best fit the data? Round each value in your equation to two decimal places. Enter your answer in the box. yˆ =
Answer:
y=11.5466(1.8484)^x
Step-by-step explanation:MRK ME BRAINLIEST PLZZZZZZZZ
x y
0 14
1 23
2 30
3 58
4 137
5 310
To Find: What is the exponential regression equation to best fit the data?
Solution:
General form of exponential regression equation : y=ab^x
So, using calculator
Regression Equation: y=11.5466(1.8484)
Hence the exponential regression equation to best fit the data is
y=11.5466(1.8484)^x
Answer: 11.55 (1.85)^x
Annie buys some greeting cards. Each card costs $1.75. She pays with a twenty dollar bill. Let n represent the
number of greeting cards Annie buys. Write an expression that represents the amount of change Annie should
receive
Answer:
20÷1.75= 11
so Annie gets 11 cards 1.75×11=19.25
20-19.25=0.75
so Annie will get 75¢
the measure of an angle is fifty nine times the measure of its supplementary angle. What is the measure of each angle
9514 1404 393
Answer:
177°, 3°
Step-by-step explanation:
If the smaller angle is s, then the sum of the two angles is ...
s + 59s = 180°
s = 180°/60 = 3° . . . . . divide by the coefficient of s
59s = 177° . . . . . . . . . find the larger angle
The two angles are 177° and 3°.
HELP PLEASE
i think i’m correct but i don’t know the answer for the last one at the bottom!!!
Answer:
7.07
Step-by-step explanation:
Which best describes the numbers satisfying the inequality x less-than 7?
A all numbers greater than 7
B all numbers less than 7
C all numbers greater than and including 7
D all numbers less than and including 7
Answer:
B all numbers less than 7
Step-by-step explanation:
x < 7
B all numbers less than 7
----------------------
< is less than
≤ is less than or equal
> is greater than
≥ is greater than or equal
Answer:
b XD
Step-by-step explanation:
Help please! Ill give branliest :)
Answer:
425 grams divided by 28.3 = 1 ounce is about 15 ounces
Step-by-step explanation:
Since there are 425 grams in total and 28.3 GRAMS = 1 OUNCE that means. Every 28.3 grams in the total of 425 grams are ounces so we divide it by the 28.3 in order to find the ounces since every 28.3 grams are ounces!
Answer:
...............15 .................
What is the correct answer I will mark brainlist
Answer:
3rd
Step-by-step explanation:
MARK AS BRAINLEST!!
What are the volume and the surface area of this storage chest?
Answer:
Hello!
answer: volume is 18
answer: surface area is 44
Hope that helps!
Find the numbers of faces, edges, and vertices of the solid.
number of faces:
number of edges:
number of vertices:
Answer:
# of faces:7
# of edges: 15
# or vertices: 10
Answer:
7 10 15
Step-by-step explanation:
Last year there were 750 students enrolled in Park School, but this year there are only 685 students enrolled. What is the percent of decrease? Round to the nearest tenth.
Answer:
91 (1/3)
Step-by-step explanation:
first do 750 / 100 becuase thats is 100%
the answer to 750 / 100 is 7.5 then take 7.5 what you do is 685 / 7.5 and you get the answer
Answer:
-8.6666666666667% decrease
Step-by-step explanation:
[3×2⁵-13 ×(-2)] + 2³ ÷ (-2² +3²) -3
Answer:
120.6 is the answer
Step-by-step explanation:
Shawn is buying a house and needs a loan for $120,000. Several banks have offered mortgages . Which of these offers would result in Shawn paying least amount of interest?
Answer:
b
Step-by-step explanation:
What is the sum of 3 1/4 and 4 3/4 simplify answer
Answer:
8
Step-by-step explanation:
3 1/4
+4 3/4
----------------
7 4/4
But we know 4/4 = 1
7 +1
8
Answer:
8
Step-by-step explanation:
3 and 1/4 + 4 and 3/4 =
3+4+1/4 +3/4
= 3+4+4/4 because 4 fourths is one whole
=3+4+1 = 8
6. If radius is 18 am and an angle at center of circle
is 120 degrees, then the area of the sector is.......
A. 382.4 cm
B. 339.3 cm?
C. 350 cm2
D. 300 cm?
Answer:
Try A
Step-by-step explanation:
382.4cm
can someone tell me the answer please
Which shows the best path to convert 100 liters to pints?
A liters -> cups -> pints
B liters -> kiloliters -> pints
C pints -> gallons -> liters
D pint -> quarts -> liters
Answer:
A
Step-by-step explanation:
100 liters is 416.7 cups and 416.7 cups is 211.3 pints.
What is the answer for this question
Answer:
68
Step-by-step explanation:
16^2= 2x16/16+16=32
32-100=68
Help me please with an explanation
to please
Answer:
8 feet
Step-by-step explanation:
Volume = length * width * height
Substitute the values.
288 = 9 * 4 * height
Divide both sides by 36
height = 288/36
height = 8 feet
triangleACB~triangleEFD
Answer: 4
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so
[tex]\frac{y}{12}=\frac{5}{15}\\\\\frac{y}{12}=\frac{1}{3}\\\\y=4[/tex]
Paul can build a desk in 12
hours. Shawn can build the
same desk in 8 hours. How
long would it take them to
build it together?
[?] minutes
Answer:
288
Step-by-step explanation:
First, find how much of the desk each person can finish in 1 hour. Paul can finish 1/12 because he finishes the whole thing in 12 hours and Shawn can finish 1/8 because he finishes the whole thing in 8 hours.
Then find a common denominator and add those together to find how much they could do together in 1 hour.
2/24 + 3/24 = 5/24 So they can finish 5/24 of the desk in 1 hour if they work together.
So to finish 24/24 of the desk, they'll need to do 4 hours (20/24 of the desk) and 48 minutes (4/24 of the desk)
It asked for the number of minutes, so multiply 4 by 60 and add 48 to find the total number of minutes. 4*60 = 240 and 240 + 48 = 288
So it will take them 288 minutes to build the desk together.
After finishing an online purchase, a popup invites you to participate in a customer satisfaction poll.
What type of bias is most likely to present?
a) Sampling bias
b) Voluntary response bias
c) Self interest study
d) Loaded questions
You and a friend decided to open a photo print shop. The cost for printing a photo is $0.10 and sells for $0.25. The initial setup fee for equipment is $2,599. Determine how many photos you and your friend must sell to break even. Round your answer the ones place.
Answer:
2599 / 0.15 = 17327 (rounded)
Step-by-step explanation:
Can I have brainliest? Hope this helped and have a nice day!