Using the t-distribution, it is found that since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.
At the null hypothesis, we test if the average strength of corrugated fiberboards from Firm 1 is not three pounds per square inch higher than that from Firm 2, that is, we test if the subtraction of the means is at most 3, hence:
[tex]H_0: \mu_1 - \mu_2 \leq 3[/tex]
At the alternative hypothesis, we test if the difference is more than 3, that is:
[tex]H_1: \mu_1 - \mu_2 > 3[/tex]
The mean and the standard deviation for both tests are:
[tex]\mu_1 = 366, s_1 = 11.67[/tex]
[tex]\mu_2 = 357.4, s_2 = 4.27[/tex]
The standard errors are:
[tex]s_1 = \frac{11.67}{\sqrt{9}} = 2.9175[/tex]
[tex]s_2 = \frac{4.27}{\sqrt{10}} = 1.35[/tex]
The distribution of the difference has mean and standard deviation given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 366 - 357.4 = 8.6[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.9175^2 + 1.35^2} = 3.2147[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 3[/tex] is the value tested at the null hypothesis.
It's value is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{8.6 - 3}{3.2147}[/tex]
[tex]t = 1.742[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 9 + 10 - 2 = 17 df and a significance level of 0.05 is [tex]t^{\ast} = 1.7396[/tex]
Since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.
A similar problem is given at https://brainly.com/question/25562298
solve pls brainliest
Answer:
1)YES:This is a decimal neither terminates nor repeats
2)YES:Repeating decimal
3)NO: Terminating decimal
4)YES: this is a decimal neither terminates nor repeats.
Step-by-step explanation:
Hope it can help you lovelots
si el largo de un rectangulo es 2 cm más que el ancho y tiene un perimetro de 52 cm cual es el largo y cual es el ancho?
Answer:
ancho: 12 cm
Largo: 14 cm
Step-by-step explanation:
[tex]P=2a+2l[/tex]
[tex]l=a+2[/tex]
[tex]P=2a+2(a+2)=2a+2a+4[/tex]
[tex]P=4a+4[/tex]
[tex]52=4a+4[/tex]
[tex]52-4=4a[/tex]
[tex]48=4a[/tex]
[tex]48/4=a[/tex]
[tex]12=a[/tex]
largo = ancho + 2 = 12 +12 = 14 cm
Hope this helps
Can someone help me with this
Answer:
1. so the express of the shaded region would be
10x*6 which gives 60x the area of the whole thing subtract 2x*4 =8x
so 60x-8x
2.
the perimeter is 6*2 bc two sides so 12
and 10x *2 bc two sides 20
so 20x+12 would be the perimeter
plz help will mark as brainliest
Step-by-step explanation:
18 cm is the correct answer
Construct a new equation by adding 5x + 5y = 35 to 3.x - 2y = 1
What is the equation of the given line in standard form? Use integer coefficients.
y=-1.7x + 8.5
A.)17x + 10y = 85
B.)-17x + 10y = 85
C.)-17x + 10y = -85
D.)17x+10y = -85
Answer:
A
Step-by-step explanation:
y = - 1.7x + 8.5 ( add 1.7x to both sides )
1.7x + y = 8.5 ( multiply through by 10 )
17x + 10y = 85 → A
Simplify this thing (4h^2/3)^3
Answer:
64h^2.
Step-by-step explanation:
4 ^3 = 64
h(2/3)^3 = h ^(3*2/3) = h^2.
-
6 less than the product of a number and 3 is -18.. What is the
number?
Answer:X= -4
Step-by-step explanation:
6 less than the product of a number and 3 is -18.
Make each part of the sentence into numbers:
"the product of a number and 3": becomes X*(3), where X is the "number."
"6 less than": is -6, so we have:
X*(3) - 6
"is -18" means = -18
Put the segments into one equation and solve:
X*(3) - 6 = -18
3X-6=-18
3X = -12
X = -4
====
See if this works: If X=-4, then the product of it and 3 is -12. Six less than -12 is -18. And that is correct. X= -4
PLEASE ANSWER NOWWWWW
340816.326531
Answer:
nearest whole number would be 340816
Answer:
340,816
Hope this helps :)
1. Carlee surveyed customers as they left a convenience store. She asked them, “How many items did you purchase?” The results are shown in the line plot.
(a) How many customers were surveyed?
(b) What was the greatest number of items purchased by a customer?
(c) How many customers purchased 9 items?
(d) How many customers purchased at least 5 items?
(e) What was the median number of items purchased?
Answer:
a. 15
b. 11
c. 2
d. 7
e. 3
Step-by-step explanation:
a. count the dots, that will be total customers surveyed = 15
b. one customer purchased 11 items - 11
c. count how many dots under 9 - 2
d. at least 5, meaning ppl buying 5 or more items, count dots greater than 5
- 7
e. Median means middle number, arrange in order
0,1,2,2,3,3,3,3,5,5,7,7,9,9,11, so middle number is : 3
Answer:
a. 15
b. 11
c. 2
d. 7
e. 3
hope this helps :)
Use the information given in the figure to find the length SU.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
Answer:
We'll calculate ru:
RU^2 = 65^2 - 52^2
RU^2 = 1,521
RU = 39
SU^2 = 89^2 -39^2
SU^2 = 7,921 - 1,521
SU^2 = 6,400
SU = 80
Step-by-step explanation:
how many years in two scores?brainliest best answer.
Answer:
40 years
Step-by-step explanation:
I think 1 score is 20 years
so 2 scores = 2 x 20 = 40 years
I may be wrong so someone check
-Chetan K
Why do you skip count by 2s on the number line
Answer: It all depends on what type of number line you're doing.
Step-by-step explanation:
Can someone explain the concept of conversion tables to me? I don't understand how to use them, (mainly because of the amount of numbers involved) and I need some help.
Answer:
Conversion tables are very important. I can help you if you let me know what unit of conversion (meters, grams, gallons, etc)
Step-by-step explanation:
Help help help help
Answer: main
Step-by-step explanation:
Answer:
yeah it's main it cuts up through oak and elm
Please help meee please explain it
Answer:
C. .45
Step-by-step explanation:
Think of it like this: that is 45 hundredths and you are trying to find what 45% is and it is like 45/100 so .45 is your answer.
answer c=0.45
0.45 is equal to 45%.
Can anyone help me with this?
Answer:
A & C are correct.
Step-by-step explanation:
Yes, I can help!
Absolute value makes any number positive.
12 < 50 (yes)
12 < 50 (yes)
12 > 50 (no)
12 > 50 (no)
You are welcome!
Kayden Kohl
8th Grade Student
sin6x-cos6x=[tex]\sqrt{2}[/tex]
Condense the right side a single sine expression:
sin(6x) - cos(6x) = R sin(6x - t)
Expanding the right side gives
sin(6x) - cos(6x) = R sin(6x) cos(t) - R cos(6x) sin(t)
Then we have
R cos(t) = 1
R sin(t) = 1
Solve for R and t:
(R cos(t))² + (R sin(t))² = 1² + 1²
R² = 2
R = √2
and
(R sin(t))/(R cos(t)) = 1/1
tan(t) = 1
t = arctan(1) = π/4
So we rewrite the equation as
√2 sin(6x - π/4) = √2
Solve for x :
sin(6x - π/4) = 1
6x - π/4 = arcsin(1) + 2nπ
(where n is any integer)
6x - π/4 = π/2 + 2nπ
6x = 3π/4 + 2nπ
x = π/8 + nπ/3
Conor earns $9 an hour for yard work. He raked leaves one afternoon and earned $29.25.
How much does Conor earn for each minute he does yard work?
Hint: There are 60 minutes in 1 hour.
29.25 divided by 9 is 3.25. You have to take the total amount of money he made $29.25 and divide it by the amount he gets every hour $9. So 29.25 divided by 9 is 3.25 or 3 hours and 15 minutes.
Answer:
15 cents a minute
Step-by-step explanation:
9 ÷ 60 = $0.15
Find the perimeter. Simplify your answer.
Answer:
22w - 18
Step-by-step explanation:
To find the perimeter we have to add up all the sides
10w-10+w+1+10w-10+w+1
combine light terms
22w - 18 would be our answer
Brainliest please
10 open cylindrical containers are to be painted on the outside, including the base. Each container has a radius of 30 cm and a height of 28 cm.
Given that 150g of paint is needed to paint an area of 1m3, find the amount of paint required to paint the ten cylinders. Give your answer in kg.
please help quick.
The total surface area of an open cylinder can be used to determine the surface area required. This answer can now be used to determine the kilograms of paint needed which is 1.245 Kg.
The formula to determine the total surface area of an open cylinder is given as:
2[tex]\pi r^{2}[/tex] + [tex]\pi r[/tex]h =
where: r is the radius, and h is the height of the cylinder.
The radius of the cylinder is 30 cm (0.3 m), and its height is 28 cm (0.28 m). Then the total surface area can be calculated as follows:
Total surface area of one cylinder = [tex]\frac{22}{7}[/tex] x 0.3*(2*0.3 + 0.28)
= 0.8297
The total surface area of one of the cylinders is 0.83 [tex]m^{2}[/tex].
Total surface area of the ten cylinders = 10 x 0.83
= 8.3 [tex]m^{2}[/tex]
Given that 150 g of paint would be required to paint an area of 1 [tex]m^{2}[/tex], the amount of paint (x) required for the ten cylinders would be:
x = 8.3 x 150 g
= 1245 g
x = [tex]\frac{1245}{1000}[/tex]
= 1.245 Kg
Therefore, the amount of paint required for the ten cylinders is 1.245 Kg.
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For this question, I'd want some assistance. Thank you very much. Have a wonderful day!
Answer:
can u take pic again?
Step-by-step explanation:
Mrs. Patel needs
7/8
yards of fabric to make one shirt. Mrs. Patel bought 10 1/2 image yards of fabric. How many shirts can she make?
Answer:
12 shirts
Step-by-step explanation:
I used the method keep, change, flip (KCF) to divide fractions and solve this problem.
This means Keep the first fraction, Change the division sign to a multiplication sign, and Flip the second fraction.
so keep 10 1/2, or 21/2, change sign, and flip the second fraction to 8/7.
that gives us the equation 21/2x8/7, and solving that gives us 168/14, or 168 divided by 14, so 12 shirts
Suppose that the functions r and s are defined for all real numbers x as follows.
r(x)=x+3
s(x) = 2x
Write the expressions for (r-s) (x) and (-s) (x) and evaluate (r+s) (-1).
Step-by-step explanation:
as explained in the other question : when applying an arithmetic operation on functions, you are applying it on the functional expressions.
(r*s)(x) = (x+3)*(2x²) = 2x³ + 6x²
(r-s)(x) = (x+3) - (2x²) = -2x² + x + 3
(r+s)(-1) = (-1 + 3) + (2×(-1)²) = 2 + 2×1 = 4
solve pls brainliest
Answer:
mixed no. 51/10
Improper fraction 5/1/10
find the final amount when 10500 is invested at 9% simple interest for 4 years
Answer:
3780
Step-by-step explanation:
10500 x 9% x 4 divided by 100=3780
Solve for Y please help me
Answer:
y = j - rx/c
Step-by-step explanation:
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. At the end of the night, the driver calculates his profits and makes a graph to analyze the data. What is the average rate of change for the from the 1st hour to the 4th hour? Be sure to include the correct units of measurement
The rate of change is in Y over the change in X.
Y is the dollar amount at 4 is 78 at 1 it is 54, the change is 78 - 54 = 24.
X is the time the change from 4 to 1 is 3 ( 4 - 1 = 3)
The rate of change is 24 / 3 = 8.
The answer is 8 dollars per hour.
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer. the average rate of change from the 1st hour to the 4th hour is 8.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer.
At the end of the night, the driver calculates his profits and makes a graph to analyze the data.
The rate of change is in Y over the change in X.
Y is the dollar amount at 4 = 78 ,
at 1 = 54
the change is 78 - 54 = 24.
X is the time the change from 4 to 1 = 3
The change is ( 4 - 1 = 3)
The rate of change = 24 / 3 = 8.
Therefore, The answer is 8 dollars per hour.
Learn more about the unitary method;
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Solve the inequality:
1 ≤ a/4 - 1
Answer:
a is greater or equal to 4
Step-by-step explanation:
How many solutions does |3x + 1| = -5 have?
need to know answer asp
Answer:
0
Step-by-step explanation:
Absolute values can't have negatives as answer. Useful tip, If there is a negative as an answer for absolute value, there is no solution, if it has 0 as an answer, there is 1 solution, and if it has a positive as answer, then it will have 2 solutions.