Answer:
a. A point estimate of the mean pull-force of all connectors in the population is approximately 75.7385
The point estimate for the mean used is the sample mean
b. The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% is 74.3131 N
c. The point estimate of the population variance is approximately 2.8577
The point estimate for the population standard deviation is approximately 1.6905
d. The standard error of the mean is approximately 0.3315
e. The point estimate of a proportion of the connectors are;
(72.7, 0.0385) , (73.8, 0.0769) , (73.9, 0.0385) , (74, 0.0385) , (74.1, 0.0385) ,(74.2, 0.0385), (74.6, 0.0385) , (74.7, 0.0385) , (74.9, 0.0385) , (75.1, 0.0769) , (75.3, 0.0385) , (75.4, 0.0385) , (75.5, 0.0385) , (75.6, 0.0385) , (75.8, 0.0385) , (76.2, 0.0385) , (76.3, 0.0385) , (76.8, 0.0385) , (77.3, 0.0385) , (77.6, 0.0385) , (78, 0.0385) , (78.1, 0.0385) , (78.2, 0.0385) , (79.6, 0.0385)
Step-by-step explanation:
The given data for the pull-force (pounds) for connectors used in an automobile engine are presented as follows;
Pull-force (pounds); 79.6, 75.1, 78.2, 74.1, 73.9, 75.6, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.8, 72.7, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8
a. A point estimate of the mean pull-force of all connectors in the population is the sample mean given as follows;
[tex]Mean, \ \overline x = \dfrac{\Sigma x_i}{n}[/tex]
[tex]\Sigma x_i[/tex] = The sum of the data = 1966.6
n = The sample size = 26
Therefore, the sample mean, [tex]\overline x[/tex] = 1966.6/26 ≈ 75.7385
The point estimate for the mean is approximately 75.7385
The sample mean was used as the point estimate for the mean because it is simple and representative of the sample
b. The weakest 50% of the connectors are;
72.7, 73.8, 73.8, 73.9, 74, 74.1, 74.2, 74.6, 74.7, 74.9, 75.1, 75.1, 75.3
The sum of forces that separates the weakest 50%, [tex]\Sigma x_{i}_{50 \%}[/tex] = 966.2
The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% = [tex]\Sigma x_{i}_{50 \%}[/tex]/13 = 966.2/13 = 74.3131 N
c. The estimate of the population variance is the sample variance, given as follows;
[tex]s^2 =\dfrac{\sum \left (x_i-\overline x \right )^{2} }{n - 1}}[/tex]
Where;
[tex]{\sum \left (x_i-\overline x \right )^{2} }[/tex] ≈ 71.4415
Therefore;
[tex]s^2 =\dfrac{71.4415 }{25}} \approx 2.8577[/tex]
The point estimate of the population variance, s², is 2.8577
The point estimate for the population standard deviation, σ, is tha sample standard deviation, 's', given as follows;
s = √s² = √2.8577 ≈ 1.6905
The point estimate for the population standard deviation ≈ 1.6905
d. The standard error of the mean is given as follows;
[tex]SE_{\mu_x} = \dfrac{s}{\sqrt{n} }[/tex]
Therefore, we have;
[tex]SE_{\mu_x}[/tex] = 1.6905/√(26) ≈ 0.3315
The standard error indicates the likely hood of the difference between the sample mean and the population mean
e. The point estimate of a proportion of the connectors are;
(Number of sample with a given pull-force value)/(Sample size (26))
Therefore, using Microsoft Excel, we have
(72.7, 0.0385) , (73.8, 0.0769) , (73.9, 0.0385) , (74, 0.0385) , (74.1, 0.0385) ,(74.2, 0.0385), (74.6, 0.0385) , (74.7, 0.0385) , (74.9, 0.0385) , (75.1, 0.0769) , (75.3, 0.0385) , (75.4, 0.0385) , (75.5, 0.0385) , (75.6, 0.0385) , (75.8, 0.0385) , (76.2, 0.0385) , (76.3, 0.0385) , (76.8, 0.0385) , (77.3, 0.0385) , (77.6, 0.0385) , (78, 0.0385) , (78.1, 0.0385) , (78.2, 0.0385) , (79.6, 0.0385)
By what percent will a fraction increase is decreased by 10% and its denominator is decreased by 50%
Answer:
Let's assume the fraction is 1/1
decreasing 1 by 10% = .9
decreasing 1 by 50% = .5
So the fraction becomes .9/.5 = 1.8
So its value increases by 180%
Step-by-step explanation:
Find the quotient 3/4÷1 1/10
Answer:
15/22
Step-by-step explanation:
Someone help me
Right now.
The diagram below shows some measurements taken from a new bridge. How long is the bridge?
feet
Answer:
1,737.3 feet
Step-by-step explanation:
Let's assume the length of the bridge consists of 2 right triangles as shown in the diagram. Use pythagorean theorem to find the other missing leg of each right triangle.
Let the missing leg for each triangle be x and y respectively.
Length of bridge = x + y
✔️x = √(1115² - 860²) = √503,625
x ≈ 709.7 (nearest tenth)
✔️y = √(1340² - 860²)
y ≈ 1,027.6 (nearest tenth)
✔️ Length of bridge = 709.7 + 1,027.6 = 1,737.3 ft
PLEASE HELP!!!! ILL GIVE BRAINLIEST!
Explain why the two figures below are not similar. Use complete sentences and provide evidence to support your explanation.
Answer: because the figure on the left is negative and more wide open while the other one is not only smaller but also positive and it’s more shut
Step-by-step explanation:
So the X-axis of the Figure on the left is going form point -3 to 0 while the other figure on the right is going form 3 to 5. And the Y- axis of the figure on the left is 2 while the right is 1 which proves that the figure on the left is bigger then the other
Your Also supposed to add all the point like first look for the Y and the X of I with J Then look for H and K then look for G and L the look for the slope of all those and then add them,then do the same with the left one and see which ones more and how much more
assume that the weight of ripe watermelons grown at a particular farm are normally distributed witha mean of 20 pounds and a standard deviation of 1.4 pounds. determine the percent of watermelons that weigh between 18.48 pounds and 22.68 pounds
Answer:
The answer is "78.25%"
Step-by-step explanation:
Given:
[tex]\mu =20\\\\\sigma=1.4[/tex]
[tex]p(18.48<x<22.63)=p(\frac{18.48-20}{1.7}<\frac{\bar{x}-\mu}{\sigma}<\frac{22.63-20}{1.4})\\\\[/tex]
[tex]=p(\frac{-1.52}{1.7}<Z<\frac{2.63}{1.4})\\\\=p(-0.89<Z<1.87)\\\\[/tex]
[tex]=p(Z<1.87)-p(Z<-0.89)\\\\[/tex]
[tex]=0.969258-0.1867329\\\\=0.7825251\\\\=78.25 \%[/tex]
Daniels mom gave him $8 for his allowance He wants to buy new shoelaces for his vans that cost $5. What percentage of his money will Daniel spend on the new shoelaces?
Line k is the perpendicular bisector of pq and point r which of the following statements must be true?
Answer:
question incomplete.
Step-by-step explanation:
If i put a 100$ into the stock market and the stock market increase by 2% per year. how much money would i have after a year
Answer:
$102
Step-by-step explanation:
2% of $100 = 0.02 * $100 = $2
The increase is $2.
$100 + $2 = $102
Answer: $102
Answer:
100 x 0,2 x 1 year(12/12 months)
=$102 after a year
A square has a side of 10x. Write and simplify an expression for the perimeter of the square. Then calculate the perimeter of the square if
X=12
Answer:
Step-by-step explanation:
perimeter = 4(10x) = 40x units
if x = 12, perimeter = 480x units
4(A) The table given shows the change in price in a sale.
TV
Laptop
Normal
Dhs 2000
Dhs 1800
price
Sale price
Dhs 1750
Dhs 1440
(a) Calculate the percentage increase or decrease for
(0) TV and
) Laptop
(b) Which item has the best reduced price?
Cho can anyone help me
Answer:
(a)
[tex]\%Decrease= 12.5\%[/tex] --- TV
[tex]\%Decrease= 20\%[/tex] --- Laptop
(b) Laptop
Step-by-step explanation:
Given
Normal Sales
[tex]TV = 2000[/tex] [tex]TV = 1750[/tex]
[tex]Laptop = 1800[/tex] [tex]Laptop = 1440[/tex]
Solving (a): Percentage increase of decrease for both
Percentage change is calculated as:
[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]
For TV
[tex]\%Change = \frac{1750 - 2000}{2000} * 100\%[/tex]
[tex]\%Change = \frac{-250}{2000} * 100\%[/tex]
[tex]\%Change = -0.125* 100\%[/tex]
[tex]\%Change = -12.5\%[/tex]
It is a decrease because it is negative
[tex]\%Decrease= 12.5\%[/tex]
For Laptop
[tex]\%Change = \frac{1440 - 1800}{1800} * 100\%[/tex]
[tex]\%Change = \frac{-360}{1800} * 100\%[/tex]
[tex]\%Change = -0.2* 100\%[/tex]
[tex]\%Change = -20\%[/tex]
It is a decrease because it is negative
[tex]\%Decrease= 20\%[/tex]
Solving (b):
Laptop has the best reduced price because it has a larger percentage decrease
Write an equation for this tape diagram 6th grade math help pls thanks if you do
Answer: x(15x)
Step-by-step explanation:
Tanisha is graphing the function f(x) = 25(Three-fifths)x. She begins by plotting the point (1, 15). Which could be the next point she plots on the graph?
(2, 9)
(2, –10)
(2, 14Two-fifths)
(2, 5)
The next point she plots on the graph is (2,9)
How to determine the next point?The function is given as:
f(x) = 25(Three-fifths)^x
Rewrite properly as:
f(x) = 25(3/5)^x
The first point has an x value of 1.
So, the next would be x = 2
This gives
f(2) = 25(3/5)^2
Evaluate the product
f(2) = 9
So, we have:
(2, 9)
Hence, the next point she plots on the graph is (2,9)
Read more about exponential functions at:
https://brainly.com/question/11464095
#SPJ9
Convert the angle −4.5 radians to degrees, rounding to the nearest 10th
Answer:-257.8
Step-by-step explanation:
If computers sell for $1020 per unit and hard drives sell for $118 per unit, the revenue from x computers and y hard drives can be represented by
Answer:
Revenue = 1020x + 118y
Step-by-step explanation:
Revenue = 1020x + 118y
This is an important question to understand. You will use it very shortly when you try and solve 2 equations with 2 unknown. Just to show you what that means, Suppose the revenue is
Revenue = 5808
and 11 items total were sold
x + y = 11 Total number of items sold
1020x + 118y= 5808 Revenue
is the kind of problem you will be solving.
Step-by-step explanation:
a computer sell for $1020
x computer will sell for $1020x
a hard drive sell for $118
y hard drive will sell for $118y
The revenue equals $1020x + $118y
Marking brainliest!!
What should I put for the second question? I am confused. HELPP
if other experts state the same thing in their own paper or document.
Number Question ID: 15573
Drag these decimals into order from highest at the top to lowest.
8.3
8.31
8.301
8.03
8.031
Answer:
8.31
8.3
8.301
8.03
8.031
I think that's the answer.. not sure th
Please help me to find out this question .This question is from chapter simple Interest
PRINCIPLE=₹2630
RATE=8%
TIME=2 1/Fund the S.I and amount
Answer:
The simple interest is of 526.
The total amount is 3156.
Step-by-step explanation:
Simple Interest
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
In this question, we have that:
[tex]P = 2630, I = 0.08, t = 2.5[/tex]
The simple interest is:
[tex]E = P*I*t = 2630*0.08*2.5 = 526[/tex]
The simple interest is of 526.
The total amount is:
[tex]T = E + P = 2630 + 526 = 3156[/tex]
The total amount is 3156.
In the Special Right Triangle below, solve for the value of x. X = _____ (keep your answer in simplest radical form)
Options
6
6√3
6√6
12
12√2
18
12√3
Answer:
Step-by-step explanation:
It's a 30-60-90 triangle. The sides of a 30-60-90 triangle are in the ratio 1:√3:2
The side opposite the 90° angle is 12√3, so the side opposite the 30° is (12√3)/2 = 6√3.
The side opposite the 60° angle is (6√3)√3 = 18
x = 18
y = 6√3
Answer:
x = 18
y = 6√3
Step-by-step explanation:
<3
Question 27
27. If an increase in one quantity brings about a corresponding decrease in the
other and vice versa, then the two quantities vary
a) sometimes directly and sometimes inversely b) directly
c) inversely d) none of these
ОА
Ов
Ос
OD
Answer:
c) inversely
Step-by-step explanation:
In Mathematics an inverse relationship can be defined as a relationship between two variables, in which an increase in the value of one variable leads to a decrease in the value of the other variable i.e as the value of one variable becomes large, the value of the other variable becomes small.
Mathematically, an inverse relationship is given by the formula;
A = K/B
Where;
A and B are the variables.
K is the constant of proportionality.
Hence, if an increase in one quantity brings about a corresponding decrease in the other and vice versa, then the two quantities vary inversely.
If 6 times a certain number is added to 8, the result is 32. Which of the following equations could be used to solve the problem? 6 x = 8 + 32 6 x+8 = 32 6 x= 32 61 X + 8) = 32
Answer:
6x + 8 = 32
6(x + 8) = 32
Step-by-step explanation:
Hope this helps
Solve. -x < 20
Graph on a number lin
Answer:
x > -20
Step-by-step explanation:
-x < 20
When dividing by negative numbers, flip the inequality.
x > -20
inclusive -> open circle
greater than -> to the right
open circle at -20 going to the right
Which function is shown in the graph below?
On a coordinate plane, an exponential function shows decay. It rapidly decreases into quadrant 1 and approaches y = 1 in quadrant 1.
y = (one-half) Superscript x + 3 Baseline minus 1
y = (one-half) Superscript x minus 3 Baseline + 1
y = (one-half) Superscript x minus 1 Baseline + 3
y = (one-half) Superscript x + 1 Baseline minus 3
Answer:
Option B, y = 2 Superscript x + 2 Baseline + 3
Step-by-step explanation:
I could be wrong tbh. I graphed it on a graphing website and the graph from B matched up with the graph shown in the question.
Hope this helps Bye =)
The exponential function is given by [tex]y=(\frac{1}{2})^{x-3} +1[/tex]
Exponential functionAn exponential function is in the form:
y = abˣ
Where y,x are variables, a is the initial value of y and b is the multiplication factor.
The exponential function is given by [tex]y=(\frac{1}{2})^{x-3} +1[/tex]
From the point (0, 9):
[tex]y=(\frac{1}{2})^{0-3} +1=9[/tex]
Also at point (3, 2):
[tex]y=(\frac{1}{2})^{3-3} +1=2[/tex]
Find out more on Exponential function at: https://brainly.com/question/12940982
PLEASE HELP!!!
Which expression are equal to 6³×2 6÷2³?
O12 6
O12³
O6³
O2 6×3³
O2³×3³
Answer:
(6³×2^6)÷2³=6³×2^(6-3)=6³×2³=(6×2)³=12³is your answer(1728)
2) Apply the distributive property to solve the following.
(15 + 12) - 5
Answer:
Answer:
22
Step-by-step explanation:
15+12=27
27-5=22
Help Please!!!
Thanks
Answer:
d i hope please be d please please
I need help please ASAP ?!!!!!!!
Answer:
B
Step-by-step explanation:
B because the number line goes from negative 6, -2, and x must be greater than negative 6 but less than or equal to 2
help 20 points on the line real answer plz!!
Step-by-step explanation:
D makes the most sense to me hopefully this helps
Answer:
24 cubic in
Step-by-step explanation:
Hope this helps UwU
Can you help me here is the inage
Answer:
150x=y
Step-by-step explanation:
2x150=300
4x150=600
6x150=900
8x150=1200
What is the ratio of 18 inches to 1 yard? (Change 1 yard to 36 inches before writing the ratio)
Answer:
1:2
Step-by-step explanation:
18 inches to 1 yard
We need to convert 1 yard to 36 inches
18 inches : 36 inches
Divide each side by 18
18/18 : 36/18
1:2