A U.S. dime has a thickness of 7.05 millimeters. Gary has a stack of dimes 42.3 millimeters tall. How many dimes does he have?
The difference between the sample value and the true value in the population under study is referred to as _______.
Answer:
a. sampling error
Step-by-step explanation:
These are options for the question below;
a. sampling error
b. random error
c. measurement error
d. chance correlation
e. none of these
Sampling error can be regarded as statistical error, this do occur when the person analysing the data just select portion out of the data, which doesn't fully cover for the whole population of the data, and after the analysis the gotten result doesn't resemble the kind of result that could have gotten if the whole population of Data is used. It occurs where there is more difference exist between population parameter and a sample statistic.
Mathematically sampling error can be calculated using below formula
Sampling error= Z √[p(1-p)/n] [1-√(N/n)
Where
N= population size
n=sample size
Z= score for the selected confidence level
P= proportion of people surveyed
It should be noted that The difference between the sample value and the true value in the population under study is referred to as sampling error
What does 0.05 x 300 represent?
Answer:
15
Step-by-step explanation:
For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 44 in.3 and is constructed using the least amount of metal. (Round your answers to two decimal places.)
Answer:
[tex]1.91\ \text{in}[/tex]
[tex]3.84\ \text{in}[/tex]
Step-by-step explanation:
V = Volume of cylinder = [tex]44\ \text{in}^3[/tex]
h = Height of cylinder
r = Radius of cylinder
Volume of cylinder is given by
[tex]V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{44}{\pi r^2}[/tex]
Total surface area of a cylinder is given by
[tex]S=2\pi r^2+2\pi rh\\\Rightarrow S=2\pi r^2+2\pi r\times\dfrac{44}{\pi r^2}\\\Rightarrow S=2\pi r^2+\dfrac{88}{r}[/tex]
Differentiating with respect to radius
[tex]\dfrac{dS}{dr}=4\pi r-\dfrac{88}{r^2}[/tex]
Equating with zero
[tex]4\pi r-\dfrac{88}{r^2}=0\\\Rightarrow 4\pi r=\dfrac{88}{r^2}\\\Rightarrow r^3=\dfrac{88}{4\pi}\\\Rightarrow r=(\dfrac{22}{\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.91\ \text{in}[/tex]
Double derivative of S
[tex]\dfrac{d^2S}{dr^2}=4\pi+176>0[/tex]
So [tex]r[/tex] is minimum at [tex]\dfrac{dS}{dr}=0[/tex]
[tex]h=\dfrac{44}{\pi r^2}=\dfrac{44}{\pi 1.91^2}\\\Rightarrow h=3.84\ \text{in}[/tex]
So the radius and height of the cylinder is [tex]1.91\ \text{in}[/tex] and [tex]3.84\ \text{in}[/tex] respectively such that the least amount of metal is used.
If f(x) = 4x-3, which of the following is the inverse of f(x)?
7x+3
O A. F'(X) =
4
4x-3
O B. F'(x) = 447
7x-3
O c. F'(x) =
4
O D. F'(x) = 4***
SUBMIT
Math
Answer:
[tex]\huge\boxed{f^{-1}(x)=\dfrac{x+3}{4}=\dfrac{1}{4}x+\dfrac{3}{4}}[/tex]
Step-by-step explanation:
[tex]f(x)=4x-3\to y=4x-3\\\\\text{exchange}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=4y-3\\\\\text{solve for}\ y\\\\4y-3=x\qquad|\text{add 3 to both sides}\\\\4y-3+3=x+3\\\\4y=x+3\qquad|\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x+3}{4}\\\\y=\dfrac{x+3}{4}\to y=\dfrac{1}{4}x+\dfrac{3}{4}[/tex]
Yesterday, the temperature in a city dropped from 9°C to –9°C, as shown below.
The expression 9 + (–18) represents the final temperature. Which of the following is an equivalent way to describe this temperature?
|–18| degrees in a negative direction from 9 degrees
|–18| degrees in a positive direction from 9 degrees
|–9| degrees in a negative direction from 9 degrees
|–9| degrees in a positive direction from 9 degrees
Answer:
b
Step-by-step explanation:
absoulute value is never negative.
You are given the explicit formula below. Identify if will produce an arithmetic or geometric sequence. Also identify the common difference or common ratio
f(n) = 25(4)^n-1
1. Geometric, common ratio of 1/4
2. Geometric, common ratio of 4
3. Arithmetic, common ratio of 25
4. Arithmetic, common ratio of 4
Answer:
2. Geometric, common ratio of 4Step-by-step explanation:
Given is the exponential function which is a geometric sequence
It has common ratio of 4
Correct answer option:
2. Geometric, common ratio of 4hellpppppp please I will give brainliest
Answer:
I think the answer is y=2x-2
Hope it is correct! The x is positive because the angle is pointing to the right, and the -2 came from the position of the line.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Just the image below.
Answer:
Step-by-step explanation:
P(x) + Q(x) = 4x^2 + 6x - 9 -7x^2 - 12x +8
x^2 terms: 4x^2 - 7x^2 = - 3x^2
x terms : +6x - 12x = - 6x
linear term: - 9 + 8 = - 1
Answer: -3x^2 - 6x - 1
Am I correct on this ?
The answer is -7!!!! can you help me too???? im stuck on one problum!!!
:D
Three times the sum of three consecutive integers is 72. What are the integers? a. 4, 5, 6 c. 9, 10, 11 b. 7, 8, 9 d. 6, 7, 8
Answer:
B
Step-by-step explanation:
7+ 8+ 9= 24
24 x 3= 72
Answer:
The three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9
Step-by-step explanation:
Let x, y, and z be the three consecutive integers
The sum of x, y, and z will be: x+y+z
The three times the sum of three consecutive integers is 72.
so the equation becomes:
3(x+y+z)=72
Now, putting x = 7, y=8 and z=9 in the L.H.S equation to check
3(x+y+z)
⇒ 3(7+8+9)
⇒ 3(24)
⇒ 72
Therefore, it is clear that the three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9
How to change a fraction to a decimal
Answer:
just divide the numerator by the denominator
Step-by-step explanation:
an example is ⅔ as a decimal is about .666 or .7
Find each value
1. ∛x³
2. 6³
3. 10³
Answer:
1.no answer x
Step-by-step explanation:
2. 216
3. 1000
PLZ HURRY IT'S URGENT!!!
Petrucio has $50 to spend on entertainment. Music downloads are $2.00 each and movie downloads are $5.00 each. What possible combinations can Petrucio buy? SELECT ALL THAT APPLY
options:
8 songs and 6 movies
20 songs and 2 movies
4 songs and 10 movies
7 songs and 8 movies
Answer:
*20 Songs and 2 Movies
*8 Songs and 6 movies
Step-by-step explanation:
Write each set of numbers in set-builder and interval notation
X>50
Answer:
[tex]\{x\ E\ Z\ |\ x > 50\}[/tex] ---- Set Builder
(50, ∞) ---- Interval Notation
Step-by-step explanation:
Given
x > 50
Required
Write as a
- Set builder
- Interval notation
As Set Builder:
x > 50 means that x is an integer and x is greater than 50.
In set builder notation, integers are represented with z.
So, the above can be represented as:
[tex]\{x\ E\ Z\ |\ x > 50\}[/tex]
This translates to:
x is a member of the set of integers such that x is greater than 50
As Interval Notation:
In interval notation, we make use of brackets to represent the intervals.
In this case > is represented by (a,b)
Where a and b are the intervals of the notation
Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.
Hence: x > 50 in interval notation is (50, ∞)
One day Clare runs 4 miles. The next day she
runs 50% of that. How far does she run in total?
Answer:
She runs 6 miles in total.
Solve 3x2 + 4x = 2. (2 points)
Answer:
The answer is (-2±√10)/3
Step-by-step explanation:
so if it is 3x^2+4x=2 then
set one side to zero
subtract 2 from both sides
3x^2+4x-2=0
this is not factorable by normal means so use quadratic formula which is if you have the equation in ax^2+bx+c=0 form you can solve for x if you put it into this equation quadratic formula so if you were to input it into this equation you would get
a=3
b=4
c=-2
the solution is: (-2±√10)/3
which is irrational?
A. 5/2
B. 5.22
C. 2/5
D. √5/2
Answer:
D
Step-by-step explanation:
Plz mark as brainliest!!!
A random sample is made of 256 middle managers concerning their annual incomes. The sample mean is computed to be $35,420. If the population standard deviation is $2,050. What is the standard error of the mean?
a. $128.125
b. $138.36
c. $2.050
d. $8.01
Answer: a. $128.125
Step-by-step explanation:
The standard error of the mean is given by :
[tex]SE=\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\sigma[/tex] = population standard deviation , n= sample size.
Given: [tex]\sigma=\$2,050[/tex]
n= 256
Then, the standard error of the mean:-
[tex]SE=\dfrac{2050}{\sqrt{256}}\\\\=\dfrac{2050}{16}=\$128.125[/tex]
Hence, option a. is correct.
PLEASEEEE HELPPP MEEE :(
Answer:
Question 5 is B
Because after I simplified I got B and its the only one that makes sense.
Write an equation for 51 divided by 3 is k
Answer:
51/3 = 17
Step-by-step explanation:
3 can go into 5 one time (1)
5 minus 3 equals 2.
Bring down the one, make sure the 2 and 1 are beside. (21)
How many times can 3 go in to 21 ?
7 !
So, put 1 and 7 together, and get 17!
Name 3 the rays in the figure
Answer:
Where is the figure?
Step-by-step explanation:
A ray looks like this though:
help please- asap :}
Answer:
The digits in bold are those that were given, and other two we had to fill. The table below contains the answer.
Step-by-step explanation:
We need to complete the table.
Positive Integer: value having + sign
Negative Integer : Value having - sign
The digits in bold are those that were given, and other two we had to fill
Positive Integer Negative Integer Value
15 -15 15
101 -101 101
4 -4 4
82 -82 82
1121 -1121 1121
33 -33 33
10 -10 10
999 -999 999
47 -47 47
1 -1 1
-9 is an example of what
Answer:
A negative number, a negative integer, a negative multiple of 3, etc.
Step-by-step explanation:
Answer:
integer
???????
Step-by-step explanation:
I'm not sure
3x^2-x=4
please help
Answer:
x=1 4/3
Step-by-step explanation:
Complete the area model. Find the product of 2.3 x 1.5
The product of 2.3 × 1.5 from the area model is 3.45
The product of two numbers implies the multiplication of the two numbers. Here, the two numbers to be multiplied together are decimal numbers.
Using the long multiplication method.
2.3
× 1.5
1 1 5
+ 2 3
3 . 4 5
So, what we did basically is to first multiply the two numbers normally and then, decide how many decimal places are the two numbers which two.
Therefore, the product of 2.3 × 1.5 from the area model is 3.45
Learn more about product of a number here:
https://brainly.com/question/21264607?referrer=searchResults
Solve the following equation for I. A = 2 πr + πrl. Explain each step.
BRAINLY IF CORRECT
Answer:
Step-by-step explanation:
A = 2π +πrl
A - 2π = πrI subtract by 2π
(A- 2π)/(πr) = I divide by πr to isolate I
ANSWER ASAP PLSSSS PLS PLS
Answer:
x = 14 ; 58° ; 32°
Step-by-step explanation:
What's the actual question??? ... To find "x" or to find the measure of each angle?
(4x + 2)° + (2x + 4)° = 90°
6x + 6 = 90
6x = 84
x = 14
(4(14)+ 2)° = 58°
(2(14) + 4)° = 32°
What are the different ways to write multiplication?
Answer:
Distribution, equal groups, skip counting, repeated addition, and array.
Step-by-step explanation:
The CEO of a large company claims that 85% of customers are repeat customers. They define a repeat customer as someone who makes more than one purchase per month. A random sample of 200 customers shows that 162 are repeat customers. Do these data provide convincing evidence at the 5% significance level that less than 85% of customers of this company are repeat customers?
Answer:
1. customers
2. all customers
3. 170
4. 30
5. 10
Step-by-step explanation:
edgen 2020 :)