Answer:
48 cans must be sampled.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The machine is calibrated so that the population standard deviation is 0.04 ounces.
This means that [tex]\sigma = 0.04[/tex]
How many filled cans must be sampled so that we estimate the mean fill volume within 0.015 ounces with 99% confidence?
n cans must be sampled, and n is found when M = 0.015. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.015 = 2.575\frac{0.04}{\sqrt{n}}[/tex]
[tex]0.015\sqrt{n} = 2.575*0.04[/tex]
[tex]\sqrt{n} = \frac{2.575*0.04}{0.015}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.04}{0.015})^2[/tex]
[tex]n = 47.2[/tex]
Rounding up, 48 cans must be sampled.
Which equation is equivalent to 3-4x=12
We have a linear equation here.
3 - 4x = 12
Subtract 3 from both sides.
3 - 3 - 4x = 12 - 3
-4x = 9
Divide both sides by -4 to find x.
-4x/-4 = 9/-4
x = -9/4
The value of solution of expression is,
⇒ x = - 9 / 14
WE have to given that;
A mathematical expression is,
⇒ 3 - 4x = 12
Now, WE can simplify as;
⇒ 3 - 4x = 12
Add 4x both side,
⇒ 3 - 4x + 4x = 12 + 4x
⇒ 3 = 12 + 4x
Subtract 12 both side, we get;
⇒ 3 - 12 = 14x
⇒ - 9 = 14x
⇒ x = - 9 / 14
Thus, The value of solution of expression is,
⇒ x = - 9 / 14
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
HELP ME WITH A MATH PROBKEM Type a number that has a value less than 4.7|
Answer:
i think
all the numbers between
0 to 4.6
help plz ill give extra points
A carpenter needs to cut a 3.9 meter long piece of wood into 3 equal lengths. How long should each piece be in millimeters?
Answer:
1300
Step-by-step explanation:
Answer:
1300
Step-by-step explanation:
im confused isn't there supposed to be three numbers
Answer:
m<S=63°
Step-by-step explanation:
The angle formed with the radius and a tangent is 90 degrees. (<T)
180-90-27=63
a soccer game started at 2:15p.m. and ended at 3:35p.m. how long did the game last
A group of engineers developed a new design for a steel cable. They need to estimate the amount of weight the cable can hold. The weight limit will be reported on cable packaging. The engineers take a random sample of 46 cables and apply weights to each of them until they break. The 46 cables have a mean breaking weight of 779 lb. The standard deviation of the breaking weight for the sample is 15.4 lb. Find the 99% confidence interval to estimate the mean breaking weight for this type cable.
Answer:
The 99% confidence interval to estimate the mean breaking weight for this type cable is between 772.9 lb and 785.1 lb.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 46 - 1 = 45
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 45 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.69
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.69\frac{15.4}{\sqrt{46}} = 6.1[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 779 - 6.1 = 772.9 lb
The upper end of the interval is the sample mean added to M. So it is 779 + 6.1 = 785.1 lb
The 99% confidence interval to estimate the mean breaking weight for this type cable is between 772.9 lb and 785.1 lb.
Please help!!!!!!!!!!
Answer:
104 ft^2
Step-by-step explanation:
Before we start, one thing to notice is the 90 degrees symbol at the corners. This lets you know a rectangle has four 90 degrees angle, which will help in the next step.
First, separate the shape to become three rectangles.
After you've done that, start with the first recantgle on the left.
The edges are 8 and 5. To find the area, you must multiple 8 by 5.
8 * 5 =40
The area is 40 for the first rectangle.
Next, we do the second rectangle to the right of the first one.
oThe edges are 6 and 4. We know it is four because the full length on the rectangle on the left is 8 and below the 6 ft is the place that says 4 ft. The 6ft line cuts to rectangle in half so the other edge will be 4 ft. (Hope that made sense )
Now we find the area of the second rectangle by multiplying 6 and 4
6 *4 = 24
Now we conclude with the third rectangle. We know one edge which is 5 and the other edge will be 8 because, at the opposite end, it tells us the length is 8.
Now we multiply 8 and 5.
8 * 5 = 40.
Now, the three numbers we have found are 40, 24, and 40. Our final step is to add up these three numbers from the rectangles we made to find the area.
40 + 24 + 40 = 104
The area will be 104 ft^2
I hope this explanation helped and have a good day!
Books are identified by an International Standard Book Number (ISBN), a 10-digit code x1 x2...x10, assigned by the publisher. These 10 digits consist of blocks identifying the language, the publisher, the number assigned to the book by its publishing company, and finally, a 1-digit check digit that is either a digit or the letter X (used to represent 10). This check digit is selected so that \sum_{i=1}^{10} ix_i \equiv 0 \text{ mod } 11 and is used to detect errors in individual digits and transposition of digits.
a. The ISBN for a book is 1-32-794182- Q} where Q is the check digit. What is Q?
b. The ISBN of another book is 2-429-39M18-6. Find the digit M.
Answer:
[tex]Q = 1[/tex]
[tex]M = 2[/tex]
Step-by-step explanation:
Solving (a):
Given: 1-32-794182- Q
Required: Find Q
To do this, we first multiply each digit in descending order of 10.
So, we have:
[tex]Product = 1 * 10 + 3 * 9 + 2 * 8 + 7 * 7 + 9 * 6 + 4 * 5 + 1 * 4 + 8 * 3 + 2 * 2 + Q * 1[/tex]
[tex]Product = 208 + Q *1[/tex]
[tex]Product = 208 + Q[/tex]
Equate the modulus of the product by 11 to 0
[tex]Product \% 11 = 0[/tex]
[tex](208 + Q) \% 11 = 0[/tex]
The next number greater than 208 divisible by 11 is 209.
So, we have:
[tex](208 + Q) \% 11 = 209 \% 11[/tex]
Express 209 as 208 + 1
[tex](208 + Q) \% 11 = (208 + 1)\% 11[/tex]
By comparison:
[tex]Q = 1[/tex]
Hence, the checksum is 1
Solving (a):
Given: 2-429-39M18-6
Required: Find M
Apply the same step in (a)
So, we have:
[tex]Product = 2 * 10 + 4 * 9 + 2 * 8 + 9 * 7 + 3 * 6 + 9 * 5 + M * 4 + 1 * 3 + 8 * 2 + 6 * 1[/tex]
[tex]Product = 198 + 4M + 25[/tex]
[tex]Product = 223+ 4M[/tex]
Equate the modulus of the product by 11 to 0
[tex]Product \% 11 = 0[/tex]
[tex](223+ 4M) \% 11 = 0[/tex]
The next number greater than 223 divisible by 11 is 231.
So, we have:
[tex](223+ 4M) \% 11 = 231 \% 11[/tex]
Express 231 as 223 + 8
[tex](223+ 4M) \% 11 = (223 + 8) \% 11[/tex]
By comparison:
[tex]4M = 8[/tex]
Divide both sides by 4
[tex]M = 2[/tex]
The historical U.S. mean unemployment insurance benefit was reported to be $238 per week. A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level. What would be the appropriate alternative hypothesis if he wanted to substantiate his suspicion
Answer:
The appropriate alternative hypothesis if he wanted to substantiate his suspicion would be [tex]H_{a}: \mu > 238[/tex]
Step-by-step explanation:
At the null hypothesis, we test that the mean is equal to a certain value.
At the alternate hypothesis, we test that the mean is different, less than or more than the mean value tested at the null hypothesis.
The historical U.S. mean unemployment insurance benefit was reported to be $238 per week.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 238[/tex]
A researcher in the state of Virginia anticipated that sample data would show evidence that the mean weekly unemployment insurance benefit in Virginia was above the national level.
This means that the alternate hypothesis is:
[tex]H_{a}: \mu > 238[/tex]
What are the fourth, seventh, and tenth terms of the
sequence A(n) = 7 + (n - 1)(-3)?
Answer:
B
Step-by-step explanation:
fourth term
A(4)= 7 - ( 4-1)(-3)
=-2
seventh term
A(7)= 7 - (7-1)(-3)
=-11
tenth term
A(10) = 7 - (10-1)(-3)
= -20
Please help me I don’t understand
Answer:
x= 230
Step-by-step explanation:
since a circle is 360 degrees
x + 130 = 360
x= 360 -130
x=230
An order of jelly beans contains 7,350 jelly beans. If each bag in
the shipment can hold 98 jelly beans, how many bags does the
jelly bean company need to use for the shipment?
Answer:
75
Step-by-step explanation:
7350/98 = 75
What is the measure of n?
12
4
n
m
There is no attachment attached.
Simplify.
(5+squartrt3)2
25 + sqrtrt10
10 + 28sqrtrt3
28 + 10sqrtrt3
Answer:
Step-by-step explanation:
If the 2 is an exponent, it needs to be written as ^2.
(5+√3)² = 5² + 10√3 + 3 = 28 + 10√3
Show your work: 1/2x = 10
I need help please.
Answer:
B
Step-by-step explanation:
Put "Volume of a Cone" in your browser and all you have to do is type the height and radius.
classify the triangle base on angles and sides
Answer:
C. Acute; isosceles
Step-by-step explanation:
As you can see 2 sides of the triangle are equal to 10 which means they are congruent. It's an isosceles triangle because it has two congruent sides.
You can also see that none of the angles form 90 degrees or more which means they are acute angles.
Hope that helps
...............................
The school debate team sold candy bars as fundraiser. The earnings are graphed below. What is the rate the debate team charged for each candy bar ?
Answer:
were is the graph lol
Which math term is it for this one ?
Answer:
option D
the set of all points that are a fixed distance from a given point
hope it helps
A motorcycle is 90 inches long. A car is 75% longer than the motorcycle. How long is the car?
ITS AN EMERGENCY PLEASE HELP
Answer:
$9.80
Step-by-step explanation:
Remember that the way to find the mean of a data set is by adding together all the values, and dividing by the number of the values. So, in this case, you add the 5 values together and get 49. Since there are 5 values, you divide 49 by 5 and get 9.8, or in a real world-money situation $9.80.
Help math eh at t were rhehh
What is the probability that the person is male or divorced
Answer:
3 and one third %
3.3333%
Step-by-step explanation:
A triangular fence is built with sides each of length 15 m, 14 m, and 24 m, respectively. To the
nearest degree, what is the measure of the smallest angle made by the fence?
9514 1404 393
Answer:
33°
Step-by-step explanation:
The law of cosines tells you ...
a² = b² +c² -2bc·cos(A)
Solving for A, we get ...
A = arccos((b² +c² -a²)/(2bc))
A = arccos((15² +24² -14²)/(2·15·24)) = arccos(605/720)
A ≈ 32.8305°
The smallest angle is about 33°.
2. Rewrite the following as mixed fractions in simplest form.
a. 1,75
Step-by-step explanation:
question is not understandable bro i can't understand
Mrs. Stephens bought 3 pounds of tomatoes.How many ounces are equal to 3 pounds?
Answer:
48 ounces
Step-by-step explanation:
16 ounces per pound
3 x 16 = 48 ounces
Helpppppppppp fasttttttttttttttttttt
Answer:
first 2 , second 50, third 8
Step-by-step explanation:
Which of the following expressions is equivalent to 32 ÷ 4• 4 ÷ 2 • 2?
Answer:
128
Step-by-step explanation:
32 ÷ 4• 4 ÷ 2 • 2
8 .4.2.2
128