Answer:
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Step-by-step explanation:
Difference between proportions:
The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So
In a sample of 86 units made with gold wire, 68 met the specification
This means that:
[tex]pX = \frac{68}{86} = 0.7907[/tex]
[tex]sX = \sqrt{\frac{0.7907*0.2093}{86}} = 0.0439[/tex]
In a sample of 120 units made with aluminum wire, 105 met the specification.
This means that:
[tex]pY = \frac{105}{120} = 0.875[/tex]
[tex]sY = \sqrt{\frac{0.875*0.125}{120}} = 0.0302[/tex]
Difference:
[tex]p = pX - pY = 0.7907 - 0.875 = -0.0843[/tex]
[tex]s = \sqrt{sX^2 + sY^2} = \sqrt{0.0439^2+0.0302^2} = 0.0533[/tex]
Confidence interval:
[tex]p \pm zs[/tex]
In which z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex], with [tex]\alpha[/tex] being 1 subtracted by the confidence level.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Lower bound of the interval:
[tex]p - zs = -0.0843 - 1.96*0.0533 = -0.1888[/tex]
Upper bound of the interval:
[tex]p + zs = -0.0843 + 1.96*0.0533 = 0.0202[/tex]
The 95% confidence interval for the difference is (-0.1888, 0.0202).
Simplify 1/4^-2 x 1/4^-7
Classify each equation as L Q or E
Answer:
Step-by-step explanation:
Type of equations,
Linear equations:
Equations in the form of y = mx + b
Quadratic equations:
Equation with a maximum degree = 2
y = ax² + bx + c
Exponential equations:
Any function or equation having exponent,
y = a(b)ˣ
a). f(x) = 3x + 2
Linear function.
b). y = 5ˣ
Exponential equation.
c). f(x) = 2
Linear equation
d). f(x) = 4(2)ˣ + 1
Exponential function
e). [tex]y=7(0.25)^x[/tex]
Exponential function
f). y = 4x² + 2x - 1
Quadratic function
????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
Sheldon lives 2 miles from the comic book store. Penny lives 2800 yards away. Who lives closer?
Answer: Penny is closer
Step-by-step explanation:
1 mile is 1760 yards- so 2 miles is 3520 yards, so Penny is closer... which makes no sense since they live in the same building, but there you have it
Find all factors of the given number. (Enter your answers as a comma-separated list.)
200
find the unknown lengths in the pair of similar triangles
Answer:
a = 3
b = 2
Step-by-step explanation:
The ratio of the corresponding sides of two similar triangles are always equal. Therefore,
9/a = 18/6 = 6/b
✔️Let's solve for a:
9/a = 18/6
9/a = 3
Cross multiply
a*3 = 9
Divide both sides by 3
a = 9/3
a = 3
✔️Let's find b:
18/6 = 6/b
3 = 6/b
3*b = 6
b = 6/3
b = 2
Question is down in the image
Answer:
It is (33.3) [Last one]Step-by-step explanation:
I hope that is useful for you :)
This equation is basically 35.6 -2.3, you just reverse the numbers
35.6
- 2.3
33.3
The answer is D
76 is what percent of 475?
Answer:
361
475*76%=361
Hope this helped you out!!
Answer:
16
Percentage Calculator: 76 is what percent of 475? = 16.
Step-by-step explanation:
Answered by none other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!
Hope this helped!!
Which electrician would be cheaper to hire for 3 hours? 8 hours? Why
Electrician A charges $35 per hour and a $100 consultation fee.
Electrician B charges $40 per hour and a $70 consultation fee.
Answer:
3 hour: electrician B because you would save $15
8 hour: electrician A because you would save $10
Step-by-step explanation:
35×3+100=205 vs 40×3+70=190
b is 15 dollars less
35×8+100=380 vs 40×3+70=390
a is 10 dollars less
291 divided 6 = what ? R ?
Answer: 48 R3
Step-by-step explanation:
z-(-7)< 5
Solve this inequalities
Answer:
z less than -2
Step-by-step explanation:
z negative times negative is positive and 1 x 7 is 7
z+7 less than 5
z less than 5 - 7 because if a positive number crosses the sign it becomes negative
z less than -2 because 5-7 is -2
55 points, please help me with this problem (please don't send a link)
Answer:
I cant see the picture sorry
Step-by-step explanation:
Answer:
Part A: 4.50x+6≤50
Part B: x ≤ 9.7778
Step-by-step explanation:
I don't know if u want it rounded which is 10
100=x^2+y^2
0=3x+4y
This sentence is to fill characters
Answer:
1. 100=x^2+y^2 Look at the picture
2. 0=3x+4y Look at the picture
Step-by-step explanation: Hope this help :D
Drag each question to the correct location on the table. Classify the questions as statistical or not statistical.
Answer:
wheres the picture
Step-by-step explanation:
Answer:
picture?
Step-by-step explanation:
Use the graph below to answer questions 1−4
1. What are the coordinates of point F?
A. (7, 5)
B. (7, −5)
C. (−5, 7)
D. (5, −7)
2. Which point is located at (−2, −6)?
A. F
B. G
C. H
D. K
3. Which point is located in quadrant IV?
A. G
B. J
C. K
D. L
What are the coordinates of point M?
A. (1, −3)
B. (−3, 1)
C. (3, −1)
D. (−3, −1)
1: F is equal to (7,-5) and 2 is equal to K and 3 is equal to B and 4 is equal to B
Write 3.5 times 4 using words ?
Answer:
three point five multiplied by four
Step-by-step explanation:
To write 3.5 times 4 using words, we can say:
"Three point five times four."
We know that, "Three point five" refers to the number 3.5, which is a decimal number.
In words, we read the decimal point as "point."
"Times" indicates multiplication.
When we say "times" between two numbers, it means we are multiplying them together.
"Four" represents the number 4, which is the second number in the multiplication.
so, we have, all together, "Three point five times four" means we are multiplying the decimal number 3.5 by the whole number 4.
The result of this multiplication is 14 because 3.5 times 4 equals 14.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ6
WILL MARK BRAINLEST
Does the volume of a cone increase more when you double the height of the original or when you double its radius? Explain why.
Answer:
When you double it's radius
Step-by-step explanation:
Volume of cone = 1/3(π)(r²)h
the height is a constant proportion but the radius is squared in the calculation of the base area.
Doubling the height would double the volume. Doubling the radius would more than double the volume.
Example:
a height of 4 to a height of 8 would double the volume. (the base would not change)
a radius of 4 to a radius of 8 would triple the volume. ( the base area would go from 16π to 64π)
is it pp PP pP or coc
Answer:
its Pp or it could also be nonexistent
In the following equation, when x=0, what is the value of y?
3x + 4y = 12
Answer:
(3)(0)+4y=12
Step 1: Simplify both sides of the equation.
(3)(0)+4y=12
0+4y=12
(4y)+(0)=12(Combine Like Terms)
4y=12
4y=12
Step 2: Divide both sides by 4.
4y
4
=
12
4
y=3
Answer:
C. Y = 3
Step-by-step explanation:
CO Use the following coordinate plane to write the ordered pair for each point
Answer:
A. (0,4)
B. ( 0,-3)
C (-1,1)
Step-by-step explanation:
A jewerler had a fixed amount of gold
Answer:
ohhhhh and who is the jeweler
2/4 = 1/2 or 1/3
which is the answer
Answer:
1/2
Step-by-step explanation:
Because you can simplify 2/4 by 2, to get 1/2
Answer:
1/2
Step-by-step explanation:
help lol the last answer choice is y=5/3x-10
Answer:
C
Step-by-step explanation:
ANSWER THE QUESTION FOR BRAINLIEST
Answer:
the third one
Step-by-step explanation:
it is a line that keeps continuing that way
What is a unique polygon?
Write the slope-intercept form of the equation for the line passing through the given pair of points. (-9, 0) and (6, 4)
explain please show work
HELP PLS !!!! ITS DUE IN AN HOUR
Answer:
its b i know that
Step-by-step explanation:
The expression 5x^2 + 25x + 70 can be used to estimate the height, in
meters, of a toy rocket x seconds after it is launched from a platform.
How many seconds does it take the rocket to hit the ground?
Answer:
Hence x is 7 seconds
Step-by-step explanation:
hope this helps
Please help I really need help !!
Answer:
I think it is D.
Step-by-step explanation:
I multiplied 11x9x9=891
Use ALL of the tools have, to find area and perimeter of this below:
9514 1404 393
Answer:
area 36 ft²perimeter 30 ftStep-by-step explanation:
The area can be decomposed into a rectangle and a trapezoid.
The rectangle is 2' by 5', so has area ...
A = LW
A = (5 ft)(2 ft) = 10 ft²
The trapezoid has bases 8 ft and 5 ft, and height 4 ft, so its area is ...
A = 1/2(b1 +b2)h
A = 1/2(8 ft +5 ft)(4 ft) = 26 ft²
Then the total area of the figure is ...
total area = 10 ft² +26 ft² = 36 ft²
__
The slant side of the trapezoid is the hypotenuse of a triangle with sides 3 and 4. The Pythagorean theorem tells us its length is ...
c = √(a² +b²) = √(3² +4²) = √25 = 5
The perimeter of the figure is the sum of the side lengths. Working clockwise from the top, that sum is ...
P = 5 + 4 + 2 + 2 + 5 + 2 + 5 + 5 = 30 . . . feet
The perimeter of the figure is 30 feet.