Answer:
The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
[tex]M = \frac{1.01+0.97+1.03+1.04+0.99+0.98+0.99+1.01+1.03}{9} = 1[/tex]
Sample standard deviation:
Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So
[tex]s = \sqrt{\frac{(1.01-1)^2+(0.97-1)^2+(1.03-1)^2+(1.04-1)^2+(0.99-1)^2+(0.98-1)^2+(0.99-1)^2+(1.01-1)^2+(1.03-1)^2}{8}} = 0.0657[/tex]
Confidence interval:
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 = 9 - 1 = 8
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.355
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.355\frac{0.0657}{\sqrt{9}} = 0.07[/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 1 - 0.07 = 0.93
The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07
The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.
20 baseballs pitched he hit 17. What %did TJ hit
If the volume of a sphere is 660 mm, what is the radius of the sphere, to the nearest tenth of a millimeter?
Answer:
Radius= 5.4
Step-by-step explanation:
Formula for Sphere- V= 4/3(pi)• r^3
r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)
Find the area of the trapezoid. Round your answer to the nearest hundredth.
Answer:
42.50 units²
Step-by-step explanation:
Area of the trapezoid = ½(AB + DC)×AD
AB = 6
DC = 11
AD = ?
Use trigonometric function, TOA to find AD:
Tan 45 = Opp/Adj
Opp = AD
Adj = 11 - 6 = 5
Tan 45 = AD/5
5 × tan 45 = AD
AD = 5
✔️Find Area of trapezoid.
Area = ½(AB + DC)×AD
= ½(11 + 6)×5
= 42.50 units²
find the area, round to the nearest tenth if necessary
9514 1404 393
Answer:
78 in²
Step-by-step explanation:
The legs of an isosceles right triangle are the same length, so the figure is telling you the height of the parallelogram is 6.5 in. The area is ...
A = bh
A = (12 in)(6.5 in) = 78 in²
Connie is packing for a trip. She has 17 pairs of jeans. If she has room to pack 6 pairs how many ways can she choose which jeans to take
Answer:12,376
Step-by-step explanation:
Given
Connie has 17 Pairs of jeans
She has to choose 6 pairs out of 17
We know, no of ways to pick r items out of n items is [tex]^nC_r[/tex]
[tex]\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}[/tex]
Given f(x)=x^2−5x and g(x)=2x+1, find (f+g)(−3).
Answer:
19
Use the given functions to set up and simplify
QUESTION
The first four terms of a quadratic sequence are 8; 11; 16; 23; .-
Write down the next two terms of the quadratic sequence.
J. 2 Calculate the nth of the quadratic sequence.
i: 5.3 Determine the position of the term 2311 in the sequence.
(1)
(4)
(3)
[8]
Answer:
b
Step-by-step explanation:
The price for a car in 2015 was RM 54000. This was 10% higher compared to the year 2014?
Answer:
2014 price was $49,091
Step-by-step explanation:
I'm assuming you want to solve for 2014 year price...
2015 year price is 54,000 and was 10% higher than 2014 price, meaning 2015 price is 110% of 2014 price so...
p×110%=54,000
p=54,000/1.1
p=49,090.90
Bob earns $10 per hour plus a
15 percent commission on his sales. Last week he worked h hours and had s dollars in sales. Write an equation that represents his total earning, in dollars, last week?
O 10.15hs
O 10.15(h +s)
O 10h+0.15s
O 10(h + 0.15s)
Answer:
C, 10h + 0.15s
Step-by-step explanation:
he earns 10 dollars per hour so 10h
he earns 15% or .15 per sale so .15s
add them together to get 10h + 0.15s
You randomly pick a nut from a can of mixed nuts 20 times
and record the results: 5 almonds, 6 peanuts, 2 hazelnuts,
3 pecans, and 4 cashews. Find the experimental probability
of the event.
1. Choosing an almond
2. Choosing a peanut
3. Choosing a peanut or cashew
4. Choosing not an almond
6. Choosing a walnut
5. Choosing not a peanut
Answer:
you have the highest chance of getting peanuts
What is the solution to 5/6 X 2/3 =
? Mark the TWO correct
answers.
Answer:
5/9
Step-by-step explanation:
Answer:
i think is 5/9 :))
Simplify the radical
Answer:
4
Step-by-step explanation:
4 to the 4th power is 256
ASAP ASAP ASAP ASAP please please help ASAP ASAP please please ASAP ASAP please ASAP help please please ASAP please
Step-by-step explanation:
The lateral area is
[tex]42\pi[/tex]
The surface area is
[tex]60\pi[/tex]
The volume is
[tex]63\pi[/tex]
I need help the area of the triangle is 24 square feet. Hat is the lengths of the base
Answer:
The answer is B the base is 16 feet
to find the base of a triangle the formula is b=2[tex]\frac{A\\}{h}[/tex]
hope this helps
Please help me i cannot understand these Questions
Answer:
In the last task, the result is 17+3x/6
Step-by-step explanation:
X+5/3 - 2x-7/6 + x/2
2(x+5)-(2x-7)+3x /6
2x+10-2x+7+3x /6
17+3x/6
I dunno this task above, I hope this one is correct :))
Wildlife sanctuary has 38 species of birds.
They have 15 of each kind. A national
zoo in the same city has 42 species of
birds with 12 of each kind. Do they have
the same number of birds?
Firstly, solve 38C15.
Then solve 42C12.
Compare your answers.
The goal here is to see if 38C15 = 42C12.
Here is the formula:
nCr = n!/(r!(n - r)!
Go for it.
Someone please help me, i will give brainliest
Enter the decimal equivalent of 11/8
Answer:
1.37
Step-by-step explanation:
I just used my calculator lol
what is 1086.3961 rounded to the nearest square foot?
A carpenter is creating two new templates for his designs. One template will be in the shape of a right triangle, where the longer leg is 4 inches more than six times the shorter leg. The second template will be in the shape of a rectangle, where the width is 5 inches more than the triangle’s shorter leg, and the length is 3 inches. The carpenter needs the areas of the two templates to be the same. Write a system of equations to represent this situation, where y is the area, and x is the length of the shorter leg of the triangle. Which statement describes the number and viability of the system’s solutions?
A. The system has two solutions, but only one is viable because the other results in negative side lengths.
B. The system has only one solution, and it is viable because it results in positive side lengths.
C. The system has only one solution, but it is not viable because it results in negative side lengths
. D. The system has two solutions, and both are viable because they result in positive side lengths.
Answer:
The system has two solutions, but only one is viable because the other results in negative side lengths.
Step-by-step explanation:
Took the plato test and passed it, I don't know what the purpose of the first answer is, but here is the correct answer.
Please help me ASAP
Please help
Answer:
5 X 4
Step-by-step explanation:
If you plot the dots, youll obviously see a rectangle. The height of the rect. is 4, while the length is 5, so the measurements would be 5 x 4.
Hope this helped!!
Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds
Answer:
s + b = $24,000
And,
s = 3b + $6,000
Step-by-step explanation:
Let us assume the stock be s
And, the bonds be b
So according to the question
It is given that
s + b = $24,000
And,
s = 3b + $6,000
The answers are
s + b = $24,000
And,
s = 3b + $6,000
The same would be considered
Stacy walked 0.550 kilometers from her house to her school. Which of the following is equivalent to this distance?
A. 5.5 mm
B. 55 cm
C. 550 m
D. 5500 km
Find AB, B equal 44° C equals 53° and b equals 7
Answer:
Step-by-step explanation:
Remark
I take it you are studying the sine law. If that is so, Then it will be set up as
Formula
x/sin(53) = 7 / sin(44) Multiply both sides by Sin(53)
Solution
Sin(53)x/Sin(53) = 7 sin(53)/Sin(44)
x = 7*Sin(53)/Sin(44)
x = 7 * 0.7986/0.6947
x = 8.0848
Note:
The sine law is always set up by 2 ratios. It consists of the sine of an angle divided by the side opposite = equal to another angle's sine over the side oppose the second angle.
The sine law can also be set up as two ratios side opposite / sin(Angle).
Find the radius of the circle containing 10 degree arc of a circle whose length is 11 Pi meters
Answer:
i
Step-by-step explanation:
dont know
What’s the least common factor of two and six
Answer:
6
Step-by-step explanation:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 6
Explanation: least common multiple
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
levi was designing a kite. he needs to determine the measure of
The measure of angle A is 86.
What is a kite?A kite is a flying object that is tethered to the ground by a string or a cord. It typically has a light framework of bamboo, plastic, or other materials, covered with paper or fabric, and often in the shape of a diamond or triangle.
We have,
From the figure,
We see that,
6x + 4 + ∠A = 180
Now,
∠A = 4x + 26
So,
6x + 4 + 4x + 26 = 180
10x + 30 = 180
10x = 180 - 30
10x = 150
x = 15
Now,
∠A = 4x + 26 = 4 x 15 + 26 = 60 + 26 = 86
Thus,
The measure of angle A is 86.
Learn more about kite here:
https://brainly.com/question/31239785
#SPJ3
The complete question:
Levi was designing a kite. he needs to determine the measure of angle A.
Describe the graph of y=-x and compare it with the graph of y = x
This is hard for me but easy for you so what’s the answer ?
Step-by-step explanation:
112=35+d
112-35=d
d=77
Find the value of x
Answer:
x=66
Step-by-step explanation:
A straight line is equal to 180 degrees so we can make the equation 180=2x-48. After this we can do 180-48=2x then we can do 132/2=x
What is the value of y?
Answer:
-1
Step-by-step explanation: