Complete Question:
Identify the type of sampling used (random, systematic, convenience, stratified, or cluster sampling) in the situation described below;
A researcher selects every 890th social security number and surveys the corresponding person. Which type of sampling did the researcher use?
Answer:
Systematic sampling.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Random sampling.
2. Convenience sampling.
3. Stratified sampling.
4. Cluster sampling.
5. Systematic sampling.
A systematic sampling is a type of probability sampling method which involves the researcher selecting or collecting data from a larger population.
Under systematic sampling method, samples are selected from an ordered (fixed) sample population at periodic interval. Therefore, numbers are assigned to every member of the population and then, the "nth" member are selected by the researcher after choosing a fixed starting point.
In this scenario, the researcher selects every 890th social security number and surveys the corresponding person.
Hence, the type of sampling used by the researcher is systematic sampling.
The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience. Admissions Probability 1,100 .2 1,400 .3 1,300 .5 Click here for the Excel Data File What is the expected number of admissions for the fall semester? Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)
Answer:
Variance =10900.00
Standard deviation=104.50
Step by step Explanation:
Admissions Probability for 1100= 0.2
Admissions Probability for 1400=0.3
Admissions Probability for 1300 =0.5
To find the expected value, we will multiply each possibility by its probability and then add.
mean = 1100*0.2 + 1400*0.3 + 1300*0.5 = 1290
To find the variance, we will start by squaring each possibility and then multiplying it by its probability. We will then add these and subtract the mean squared.
E(X^2)=( 1100²*0.2)+ (1400²*0.3 )+ (1300²*0.5) = 1675000
Variance(X)=E(X²)- [E(X)]²
= 1675000 - (1290)²
=10900
Hence, the Variance(X)=10900
Then to calculate the standard variation , we will use the formular below,
standard variation (X)=√ var(X)= √10900
=104.5
Hence the standard variation=104.5
There are 18cans on a shelf a customer bought 7 cans then jake pu 6cans on the shelf how many cans are on the shelf
Answer:
17 cans
Step-by-step explanation:
18 cans
7 are taken away
18-7 =11
Then we put 6 back on
11+6 = 17
There are now 17 cans
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
2
Step-by-step explanation:
In order to make the equation undefined, you should make the denominator 0. Remember that dividing anything by 0 will become undefined.
[tex]2x-4=0\\\frac{2x=4}{2} \\x=2[/tex]
Answer:
[tex]\boxed{x = 2}[/tex]
Step-by-step explanation:
A rational expression is undefined when Denominator = 0
Here Denominator = 2x-4
So,
=> 2x - 4 = 0
Adding 4 to both sides
=> 2x = 4
Dividing both sides by 2
=> x = 2
If the polynomial - 6 + 16 - 25x + 10 is divided by - 2x + k, the remainder comes out to be x + a, find k and a
Answer:
k=5
a= -5
Step-by-step explanation:
if the polynomial x^4-6x^3+16x^2-25x+10 is divided by x^2-2x+k the remainder comes out to be x+a,find k and a
Solution
x^4-6x^3+16x^2-25x+10 / x^2-2x+k = x-a
We have,
(4k-25+16-2k)x+[10-k(8-k)] = x+a
(2k+9)x + (10-8k+k^2)=x+a
2k-9=1
2k=1+9
2k=10
Divide both sides by 2
2k/2=10/2
k=5
And
10-8k+k^2=a
10-8(5)+(5^2)=a
10-40+25=a
-5=a
Therefore, a=-5
x^4-6x^3+16x^2-25x+10 divided by x^2-2x+5 = x-5
The amount that two groups of students spent on snacks in one day is shown in the dot plots below. Which statements about the measures of center are true? Select three choices. The mean for Group A is less than the mean for Group B. The median for Group A is less than the median for Group B. The mode for Group A is less than the mode for Group B. The median for Group A is 2. The median for Group B is 3.
Answer:
The mean for Group A is less than the mean for Group B. The median for Group A is less than the median for Group B.The mode for Group A is less than the mode for Group B.Step-by-step explanation:
First, we can find the measures of center for each group.
Group A
Mode: 1
Median: (1 + 2) / 2 = 3 / 2 = 1.5
Mean: (1 * 5 + 2 * 4 + 3) / 10 = (5 + 8 + 3) / 10 = 16 / 10 = 1.6
Group B
Mode: 3
Median: 92 + 3) / 2 = 5 / 2 = 2.5
Mean: (1 * 3 + 2 * 2 + 3 * 4 + 5) / 10 = (3 + 4 + 12 + 5) / 10 = 24 / 10 = 2.4
From here, we can see that...
The mean for Group A is less than the mean for Group B. The median for Group A is less than the median for Group B.The mode for Group A is less than the mode for Group B.Hope this helps!
Answer:
ABC
Step-by-step explanation:
use the graph to find the cost of 8 shirts
Answer:
Option B
Step-by-step explanation:
When we compare the number of shirt with it's cost, we find out that 8 shirts cost $120.
For more understanding, see the attached file.
A researcher wants to obtain a sample of 30 preschool children consisting of 10 two-year-old children, 10 three-year-old, and 10 four-year-old children. Assuming that the children are obtained only from local daycare centers, this researcher should use ____ sampling.` Cluster probability quota simple random stratified random
Answer:
Quota Sampling
Step-by-step explanation:
Quota Sampling is a non-probability sampling method in research, where the researcher forms subgroups of individuals who are representative of the entire population through random selection. Quota sampling is often used by researchers who want to get an accurate representation of the entire population. It saves time and money especially if accurate samples are used.
In the example given above, where the research creates subgroups of 30 pre-school children by dividing them into 10 two-year-old children, 10 three-year-old, and 10 four-year-old children, he has applied the quota sampling. These subgroups would give a proper representation of the preschool children in local daycare centers.
If Line LK = 16, find the length of Line JK.
Answer:
JK = 16√2
Step-by-step explanation:
This triangle is a special case right triangle, where you have 1 90-degree angle and 2 45-degree angles. The sides that correspond to the 45-degree angles are scalable by 1 and the hypotenuse is scalable by √2. Sometimes these are called 1-1-√2 triangles, describing the measurements of the sides.
Since this has a side of 16, the hypotenuse will be 16√2.
Cheers.
These figures are similar the area of one is give. Find the area of the other
Answer:
80 in²
Step-by-step explanation:
8/10 = x/100
x = 80
A bicycle is on sale price for $300 it can be brought through a hire purchase with a deposit of $60 and 10%
interest the outstanding balance, to prepaid in 10 monthly installments calculate:
a)the amount of each monthly instalment
b)the total cost of buying the bicycle by hire purchase
Answer:
a) $26.4
b) $324
Step-by-step explanation:
Hire purchase is the purchase of an item which can be paid instalmentally.
The bicycle costs $300 for an instant purchase.
For a hire purchase, a $60 deposit must be made and the rest paid instalmentally over 10 months. An interest of 10% is included in the outstanding balance
The outstanding balance after paying deposit= $300 - $60 = $240
Hence, 10% of 240 = 10/100 × 240 = 24
An interest of $24 is added.
Therefore, a total of $240 + $24 = $264 will be paid for the next 10 months.
a) Hence, the amount to be paid in instalment each month is $264/10 = $26.4
b) the total cost of buying the bicycle by hire purchase= deposit amount + instalment price
= $60 + $264
= $324
Hence, a total of $324 will be paid for the bicycle by hire purchase.
N.B: $300 is the sale price + $24 interest
Un estanque tiene 13/2 litros de leche y se le agregan 87/10. ¿Cuánta leche quedó en el estanque? ¿Sí en el estanque caben 65/4 litros, cuántos litros más se pueden agregar?
Help me with this I’m confused
ok its 11 sqrt 6
because if sqrt 6 is x, and 5x +6x=11x
so its 11 sqrt 6
the polynomial p(x)=x^3-7x-6 has a known factor of (x+1). rewrite p(x) as a product of linear factors
Answer:
p(x) = (x + 1) (x - 3) (x + 2)
Step-by-step explanation:
x³ - 7x - 6
(x+1) (x² - x - 6) found by doing long division
(x+1) ( x - 3) (x + 2) are the factors
The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)
What is a polynomial?They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.
We are given the polynomial as;
x³ - 7x - 6
Then we found by doing long division;
(x+1) (x² - x - 6)
(x+1) ( x - 3) (x + 2)
These are the factors.
Hence, The polynomial p(x) as a product of linear factors is; p(x) = (x + 1) (x - 3) (x + 2)
Learn more about polynomials here:
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The length of the room is 2½ times the breadth. The perimeter of the room is 70 m. What are the length and breadth of the room?
Answer:
length=25m
breadth=10m
Step-by-step explanation:
2.5units+2.5units+1unit+1unit=7units
70/7=10
length=10x2.5=25
breadth=10
(sorryy im not really sure but i hope it helps :D)
Answer:
Length = 25 cm
Breadth = 10 cm
Step-by-step explanation:
Let breadth of the room be 'x'
Let length of the room be ''
Perimeter ( P ) = 70 cm
Now, let's find the breadth of the room 'x '
Perimeter of rectangle = 2(l+b)
plug the values
70=2(2.5x+x)
Collect the like terms
70=2x3.5x
Calculate the product
70=7x
Swap the sides of the equation
7x=70
Divide both sides of the equation by 7
7x / 7= 70/7
Calculate
x=10cm
Breadth = 10 cm
Now, Let's find the length of the room ' 2.5x '
Length of the room = 2.5x
Plug the value of X
2.5x10
Calculate the product
25cm
Thus , The length and breadth of the room is 25 cm and 10 cm respectively.
Hope this helps..
Best regards!!
In the equation y = 2x + 6
If x= 2, then what is y equal to?
Answer:
y = 10
Step-by-step explanation:
y = 2x + 6
Let x =2
y = 2*2 +6
y = 4+6
y = 10
Answer:
y= 10Step-by-step explanation:
[tex]y = 2x + 6 \\ x = 2 \\ y = 2(2) + 6 \\ y = 4 + 6[/tex]
[tex]y = 10[/tex]
At a birthday party, each child is given some chocolates. There are five 5-year-olds, five 6-year-olds and five 7-year-olds at the party. If each child receives three times as many chocolates as their age in years, how many chocolates are given out altogether?
Answer: 270 chocolates
Step-by-step explanation:
Given the following :
Number of 5-year Olds = 5
Number of 6-year Olds = 5
Number of 7-year Olds = 5
Number of chocolates received by each child = 3 times as many chocolate as their age.
Number of chocolates received by 5-year Olds = 3 × 5 = 15 chocolates
Number of chocolates received by 6-year Olds = 3 × 6 = 18 chocolates
Number of chocolates received by 7-year Olds = 3 × 7 = 21 chocolates
Total Number of chocolates received by 5-year Olds = 5 * 15 = 75 chocolates
Total Number of chocolates received by 6-year Olds = 5 * 18 = 90 chocolates
Total Number of chocolates received by 7-year Olds = 5 * 21 = 105 chocolates
Totak number of chocolates altogether :
(75 + 90 + 105) = 270 chocolates
Which figure will tessellate the plane? A. regular pentagon B. regular decagon C. regular octagon D. regular hexagon
A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)
In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.
At the toy store, you could get 4 board games for $25.84. Online, the price for 5 board games is $32.15. Which place has the highest price for a board game?
Answer:
The board game store
Step-by-step explanation:
Just divide the store price by 4 and online by 5
Answer:
Toy store
Step-by-step explanation:
Let's find the unit rates for the toy store and the online store. To find the unit rate, divide the price by the number of board games.
price/board games
Toy Store
price/board games
The toy store sells 4 board games for $25.84
$25.84 / 4 board games
25.84/5
6.46
Online Store
price/ board games
The online store sells 5 board games for $32.15
$32.15 / 5 board games
32.15/5
6.43
At the toy store, a board game costs $6.46. Online, it costs $6.43.
6.46 is greater than 5.43, therefore, the toy store has the higher price for a board game.
In 2002, the mean expenditure for auto insurance in a certain state was $806. An insurance salesperson in this state believes that the mean expenditure for auto insurance is less today. She obtains a simple random sample of 32 auto insurance policies and determines the mean expenditure to be $781 with a standard deviation of $39.13. Is there enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance?
Answer:
No there is not enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance
Step-by-step explanation:
Sample Mean = μ1 = $806
Sample Mean = μ2 = $ 781
Standard Deviation= S= σ =39.13
n= 32
Confidence Interval = 95 %
α= 0.05
z∝=± 1.96
We state the null and alternative hypotheses as
H0: μ1 = $806 and Ha: μ1 ≠ $806 two sided tail test
z= μ1 -μ2/σ/√n
z= 806-781/ 39.13/√32
z= 806-781/ 39.13/5.6568
z=806-781/ 6.92
z= 25/6.92
z= 3.613
Z> z∝
3.613 > ± 1.96
No there is not enough evidence to support the claim that the mean expenditure for auto insurance is less than the 2002 amount at the α = 0.05 level of significance
The average age of 15 students is 16 years. If teacher’s age is included the average increases
by 1. Find teacher’s age
31
because 15 +16 :31
[tex]. = y1 = \times [/tex]
I need help with this!
Part A
Answer: 33.2 degrees F
Explanation: Adding on a negative is the same as subtracting. So 72.3 + (-39.1) = 72.3 - 39.1 = 33.2
================================================
Part B
Answer: 70 + 2 + 0.3 + (-30) + (-9) + ( -0.1 )
Explanation:
Think of 72 as 70+2. Furthermore, think of 72.3 as 70+2+0.3; we just break the number up into its corresponding digits (adding zeros when needed). The 7 is in the tens place, the 2 is in the units or ones place, and the 3 is in the tenths place.
Similarly, we have 39.1 break down into 30+9+0.1, in which all three terms are made negative to represent -39.1
================================================
Part C
Answer: 70 + (-30) + 2 + (-9) + 0.3 + ( -0.1 )
Explanation: Arrange the tens place value items to be next to each other. Same goes for the units place value, and also the tenths place value.
================================================
Part D
Answer: [70 + (-30)] + [ 2 + (-9) ] + [ 0.3 + ( -0.1 ) ]
Explanation: Take the result of part C and surround each pair of terms in square brackets to show how the terms pair up.
For which system of equations would you need to estimate the solution?
On a coordinate plane, 2 lines intersect at (3, 0).
On a coordinate plane, 2 lines intersect around (negative 2.1, negative 3.5).
On a coordinate plane, 2 lines intersect at (negative 2, 3).
On a coordinate plane, 2 lines intersect at (2, 2).
Answer: It is option 2 or B
Step-by-step explanation: Simple and easy, the test said it was right too.
The diagonals of a rhombus are 12cm and 16cm.Find the length of each side.
Answer:Let PQRS to be the rhombus where PQ=12cm and RS = 16cm
step 1:let,PQ and RS intersect each other at O.Now, diagonals of rhombus bisect each other at right angles.
STEP 2:Since POQ is a right angled triangle, by pythagoras theoram.
STEP 3:After applying formula , PQ =10cm .length of each side of rhombus is 10cm.
Step-by-step explanation:
Answer:
10cm
Step-by-step explanation:
As you can see in the first image is a rhombus with its diagonals 12cm and 16cm
You can see that the diagonals divide the rhombus into four right triangles and that the hypotenuse of each triangle is one side of the rhombus.
In the second image I picked out one triangle from the rhombus and slashed the length of the diagonals of the rhombus in half to get the sides of the triangle.
Now all you have to do is use the Pythagorean theorem to find the hypotenuse of the triangle which will give you the length of side of rhombus
6² + 8² = hypotenuse²
36 + 64 = h²
100 = h²
h = √100
h = 10
All the side of the rhombus are equal so all the sides of the rhombus are 10cm
An infinite geometric series converges if the common ratio is
Answer:
a proper fraction
NEED HELP ON THIS ASAP WEE WOO WEE WOO
Answer:
50
Step-by-step explanation:
Solve for x. (x+2)/3+(2x-4)/4=3
Answer:
x=4
Step-by-step explanation:
First you need to factor the equation. You can do this by multiplying the numbers by eachother so they have a denominatior of 12.
You would come out to have this...
((x+2)*4)/12 + ((2x-4)*3)/4=3
At this point you can combine the numerators over the common denominator.
((x+2)*4+(2x-4)*3)/12=3
You can now rewrite the equation into factored form.
5x-2/6=3
Multiply both sides of the equation by 6.
5x-2=18
move the terms not containing x to the right
5x=20
and divide by 5
x=4
There are 4 pieces of paper, numbered 10 to 13, in a hat. After another numbered piece of paper is added, the probability of picking a number between 10 and 13 inclusive is 4/5. Which of the following numbers could
Answer: The fifth piece of paper could have any number 9 and less or 14 and greater.
Step-by-step explanation: The list of choices is not given in the question, but it makes sense that the new number would not be a duplicate of any of the numbers 10, 11, 12, 13. Otherwise that would change the probability to 5/5.
So any other number could be a possibility.
Jennifer wants to see if the color of the testing room causes test anxiety. She asks 100 participants to come to a modified classroom, and as they walk in, she asks each person to choose either a testing cubicle painted bright red or a testing cubicle painted off white. On the basis of their choices, participants spend 20 minutes in one or the other cubicle solving challenging math problems. Then, they complete a survey asking them questions about how anxious they were during the math test. What's wrong with Jennifer's experiment?
Answer: Jennifer didn't randomly assign participants to the control and experimental group.
Step-by-step explanation: In the scenario discussed above, Jennifer failed to perform a random assignment of the participants who took part in the survey, that is the experimental group, those who receive the treatment and the control group, those who don't. Random assignment is required in other to address the issue of bias in our experiment. She was supposed to perform a random assignment of the participants to the two groups instead of asking them to make a choice.
URGENT PLEASE HELP
1. Use the rules of divisibility to check which of the following
numbers are multiples of (are divisible by) 2,3,4,5,6, 8, 9 and 10
a) 552
b) 315
c) 620
d) 426
Which values for h and k are used to write the function f of x = x squared + 12 x + 6 in vertex form?
h=6, k=36
h=−6, k=−36
h=6, k=30
h=−6, k=−30
Answer:
h=−6, k=−30
Step-by-step explanation:
did on edge
Considering the equation of the parabola, the coefficients of the vertex are:
h=−6, k=−30
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](h,k)[/tex]
In which:
[tex]h = -\frac{b}{2a}[/tex]
[tex]k = -\frac{b^2 - 4ac}{4a}[/tex]
In this problem, the equation is:
[tex]f(x) = x^2 + 12x + 6[/tex]
Hence the coefficients are a = 1, b = 12, c = 6, thus:
[tex]h = -\frac{12}{2} = -6[/tex]
[tex]k = -\frac{120}{4} = -30[/tex]
More can be learned about the equation of a parabola at https://brainly.com/question/24737967