The 10% criterion is not followed in Part A. The typical condition is not satisfied in component B.
What is proportion?A proportion is a component, piece, or amount that is compared to a total. It might be 0 or 1, or any number between 0 and 1. It can be stated numerically or as a percentage. In official statistics, one example would be the proportion of the Canadian population residing in a certain province.
Here,
The chocolate chunks' data are as follows:
The sample size (n = 18) of chocolates
The batch contains 17 pieces of white chocolate.
The batch contains 43 dark chocolates.
Given the percentage of white chocolates in the sample, we have;
p = 17/60 = 0.28, the proportion of white chocolates in the batch
Part A
Because sampling samples without replacing them does not result in independent Bernoulli trials, the 10% condition stipulates that the sample size should be less than or equal to 10% of the population.
Because the stated sample size, n = 18, is 18/60100 = 30% > 10% of the batch, the 10% condition is not satisfied in the current case.
Part B
The normal approximation can be assumed when we have;
n·p > 10 and n·p·(1 - p) > 10
By plugging in the values for 'n' and 'p', we have;
p = 0.28 = 17/60
n·p = 18 × 17/60 = 5.1 < 10
n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10
Therefore the normal condition is not met.
Part A does not adhere to the 10% requirement. Component B does not meet the normal condition.
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At a certain time, Janice notices that her digital watch reads a minutes after two o'clock. Fifteen minutes later, it reads b minutes after three o'clock. She is amused to note that a is six times b. What time was it when she looked at her watch for the second time?
Answer:
2 : 45
Step-by-step explanation:
23% of $52 is $???? Answer needs a decimal
Answer:
$11.96
Step-by-step explanation:
Now we have to,
→ find 23 percent of $52.
Let's solve the problem,
→ 23% of $52
→ (52/100) × 23
→ 0.52 × 23
→ $11.96
Hence, answer is $11.96.
Find the domain and range og tje ff. Rational function f(x) = 2/x+1
Given m || n, find the value of x.
(8x+9)°
81⁰
Find a description this equation represents. Of the numbers 1, 2, 3, 4, and 5, which are solutions to the equation?
4x+6=18
A. If you add four to six times a number, you get 18.
B. Four more than six times a number is 18.
C. If you add six to four times a number, you get 18.
D. Six more than four times a number is 18.
E. Six less than four times a number is 18.
F. Four less than six times a number is 18.
G. If you add six times a number to four, you get 18.
H. If you subtract six from four times a number, you get 18.
Which answer is correct?
(A)4x + y = 6
−2x + y = −5
(B)x + y = 8
2x − 9y = 4
(C)x − 4y = −6
−2x − y = 5
(D) −x + y = 9
9x + 2y = 4
The graph shown has two straight lines and the correct equation is
(A) 4x + y = 6−2x + y = −5What is linear function?A linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
y = output variable
m = slope
x = input variable
c = y intercept
interpretation of the equations
4x + y = 6 ⇒ y = -4x + 6
m = -4
c = 6
from the graph only one the lines has the y intercept as 6, also the slope is negative. the line shown by at option (c) the intercept is 6/4 and the slope is positive
−2x + y = −5 ⇒ y = 2x - 5
m = 2x
c = -5
The c is not showing here but it is moving towards negative. the x intercept is showing and we can use it to confirm
y = 2x - 5
0 = 2x - 5
2x = 5
x = 2.5
this coincides with the point on the graph (2.5, 0)
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we have 5 multiple choice questions with four choices with two correct answers each. if we just randomly guess on each of the 5 questions, how many questions do you expect to choose correct answers? (no need to be integer for the number of questions)
The expectation of getting correct option out of total choice of 5 question.
What is probability?
Probability is the ratio of number of favorable outcomes to the total number of outcomes.It can not be more than 1.
According to given data:we have five question each of them has four choice, two out of them are correct.
Number of correct choice in one question = 2
Total number of choice in a question = 4
probability to get correct option of one question = 2/4 = 0.5.
Then the probability of 5 question = 5(0.5) = 2.5
Thus, the expectation of correct choice is 2.5.
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Delilah has assets that total $56,326 and liabilities that total $32,129. What is her net worth?
The net worth of Delilah given the assets and liabilities will be $24197.
How to calculate the net worth?From the information given, Delilah has assets that total $56,326 and liabilities that total $32,129.
It should be noted that the formula to calculate the net worth will be:
= Assets - Liabilities
= $56,326 - $32,129
= $24197
The net worth is $24197.
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Which of the following equations shows a directly proportionate relationship?
y = -4x
y = 3x - 1
y = 2.75x - 3
y = 7x
Answer:
first and third
Step-by-step explanation:
the equation representing direct proportion is
y = kx ← k is the constant of proportion
y = - 4x is in this form with k = - 4
y = 7x is in this form with k = 7
solve for x
3(x-3) -5 (3x-2) [tex]\leq[/tex] 25
The solution of the given inequality is when the value of x is greater than or equal 2.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
Given expression is 3(x-3) -5 (3x-2)≤ 25.
Therefore, the given inequality can be solved as,
3(x-3) - 5(3x-2) ≤ 25
3x - 9 - 15x + 10 ≤ 25
-12x + 1 ≤ 25
-12x ≤ 25 - 1
-12x ≤ 24
x ≥ 2
Hence, the solution of the given inequality is x ≥ 2.
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Ms. Rumble's history class conducted interviews with their grandparents for a class project. The grandparents older than 89 years old knew that Amelia Earhart was the first woman to fly solo across the Atlantic Ocean.
Determine the graph to represent this scenario.
number line with open circle on the number 89 and line shaded to the right
number line with closed circle on the number 89 and line shaded to the right
number line with closed circle on the number 89 and line shaded to the left
number line with open circle on the number 89 and line shaded to the left
A graph to represent this scenario is number line with open circle on the number 89 and line shaded to the right
The rules for writing an inequality.In Mathematics, the following rules are generally used for writing and interpreting an inequality on a number line:
The circle on a number line should be shaded (closed) when the inequality symbol is (≥ or ≤).When the arrow points to the left on a number line, the inequality is either (≤ or <).The circle on a number line should not be shaded (open) when the inequality symbol is (> or <).When the arrow points to the right on a number line, the inequality is either (≥ or >).Let the age of the grandparents be x. Therefore, an inequality which represents the situation described above is given by:
x > 89
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heidi's scores on her first 3 tests were 92, 95, and 86. what is the minimum score she mulst earn on her next test to maintain at least a 90 average
The inequality that needs to be solved is:
3t +270/ 6 ≥ 90.
let we consider that Heidi has 6 subjects in her school.
Therefore, She needs to average at least 90 on her three remaining tests to have at least a 90 overall average for all 6 tests.
Now,
To obtain an average first add up all the scores of the tests and then divide by the number of tests.
So far Heidi has taken 3 tests and we know the total number of tests will be 6 so we will be dividing by 6 to get the average of all the score.
If we let each of the three remaining tests each be represent by t, then the sum of all the tests would be:
95 + 92 + 86 + t + t + t
or
273 + 3t
The average of these 6 tests can then be represented by:
3t + 273 / 6
And for her average to be at least 90 then she can get a 90 or more which is the same as ≥ 90
So the inequality that needs to be solved is:
[tex]\frac{3t + 273}{6}[/tex] ≥ 90
or, [tex]\frac{3 ( t + 91)}{6} \geq 90[/tex]
or, [tex]\frac{t + 91}{2} \geq 90[/tex]
Now, Heidi has to score :
t/2 ≥ 91
or, t/2 ≥ 90
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The equation of line g can be written as y=7/2x+6. Line h includes (-2,-3) and js parallel to line g. What is the equation of h?
Answer:
y = [tex]\frac{7}{2}[/tex] x + 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{7}{2}[/tex] x + 6 ← is in slope- intercept form
with slope m = [tex]\frac{7}{2}[/tex]
• Parallel lines have equal slopes , then
y = [tex]\frac{7}{2}[/tex] x + c ← is the partial equation of line h
to find c substitute (- 2, - 3 ) into the partial equation
- 3 = - 7 + c ⇒ c = - 3 + 7 = 4
y = [tex]\frac{7}{2}[/tex] x + 4 ← equation of line h
A hardware store is having a 35%-off sale. If an item has a list price of $16.20, what is the item's sale price?
$12.80
$9.67
$10.53
$12.15
$11.60
Answer:
10.53
Step-by-step explanation:
hope it helps :)
What is the equation of the line?
Answer:
x=0
Step-by-step explanation:
it is a straight line on the y axis making x=0
Please help quick this is due tomorrow and I forgot how to find x
Answer:
you have to add x outside of the parentheses
Step-by-step explanation: hope this helps
On this assignment I am just writing about what the student did wrong. Please help me. LOOK AT THE PICTURE ABOVE ^^^^^^^^^^^^^^^^^^^^^^^^^
QUESTIONS:
1. What math did Ann do well?? EXPLAIN
2. What mistake has Ann made? EXPLAIN
ann made a rectangle with the
right perimeter & area
ann doesn't try any other
rectangles to see if their areas are
different.
splitting the land , ann confuses perimeter and area
mapmathshellorg
Hawa buys 15 bottles of apple juice at the corner store for a total cost of $12.15. If
each bottle costs the same amount, how much is 8 bottles of juice?
As per the unitary method, the cost of 8 bottles is $6.48
Unitary Method:
Unitary method is the way of solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given,
Hawa buys 15 bottles of apple juice at the corner store for a total cost of $12.15.
Here we need to find the if each bottle costs the same amount, how much is 8 bottles of juice.
Let x be the cost of one bottle.
so, based on the unitary method we can written the situation as,
15 bottles = costs $12.15
Therefore, the cost of one bottle is.
x = 12.15/15
x = 0.81
So, the cost of 8 bottle is calculated by multiplying the cost of one bottle with 8,
Then we get,
=> 8 x 0.81
=> 6.48
Therefore, the cost of 8 bottles is $6.48
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the sample regression line a. is estimated by the population regression line. b. maximizes the sum of the squared differences between the data points in a sample and the sample regression line. c. shows the actual (or true) relation between the dependent and independent variables. d. is used to estimate the population regression line. e. connects the data points in a sample.
The simple regression line is used to estimate the population regression line.
We are asked about, the simple regression line
We have options:
a. is estimated by the population regression line.
b. maximizes the sum of the squared differences between the data points in a sample and the sample regression line.
c. shows the actual (or true) relation between the dependent and independent variables.
d. is used to estimate the population regression line.
e. connects the data points in a sample.
From the above options, Option (d) is the correct one i.e. is used to estimate the population regression line.
The simple regression line is used to estimate the population regression line.
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Write a system of equations with the solution (4, -3).
The system of equations with the solution (4, -3) is y = x - 7 and y = 2x - 11.
We are given a point. The coordinates of the point are (4, -3). We need to find a system of equations such that they pass through the given point.
We will use the slope-point form of a line. Let the slope of the equation of the straight line be "m". We need two equations. The general equation of a line using the slope-point form is given below.
(y - y1) = m(x - x1)
We know that both equations must pass through the given point for the solution to exist.
(y - (-3)) = m(x - 4)
(y + 3) = m(x - 4)
We just need to take any two values of the slope of the line.
First, we take m = 1. The corresponding equation is given below.
(y + 3) = m(x - 4)
(y + 3) = 1*(x - 4)
y + 3 = x - 4
y = x - 7
Next, we take m = 2. The corresponding equation is given below.
(y + 3) = m(x - 4)
(y + 3) = 2*(x - 4)
y + 3 = 2x - 8
y = 2x - 11
Hence, the system of equations is y = x - 7 and y = 2x - 11.
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scores on a standard iq test for people aged 20 to 34 are normally distributed with mean 110 and standard deviation 25. what is the probability that a randomly selected young adult will score between 85 and 160 on this iq test? round your answer to four decimal places.
The probability that a young adult chosen at random will achieve an IQ between 85 and 160 is 0.8185.
The problem states that;
A typical IQ test result for individuals between the ages of 20 and 34 has a mean of 110 and a standard deviation of 25, and the values are regularly distributed.
To get the probability that a randomly selected young adult will score between 85 and 160 on this IQ test.
Let,
P(85 < x < 160) = P[ (85 - 110)/ 25) < (x - μ) / σ < (160 - 110) / 25) ]
= P(-1 < z < 2)
= P(z < 2) - P(z < -1)
= 0.9772 - 0.1587
= 0.8185
Therefore, the probability that a randomly selected young adult will score between 85 and 160 on this IQ test is 0.8185.
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statistical output provides a means for creating a picot question. question 3 options: a) true b) false
It is true that statistical output provides a means for creating a picot question.
What is picot question?The letters PICOT stand for patient, intervention, comparison, outcome, and (occasionally) time, which are the components of a clinical research question. A case scenario is used to frame the question in the PICOT process in order to elicit an answer. A PICOT question's main objective is uncomplicated: It is a mechanism for determining the keywords to use when looking for the strongest evidence to address a pressing clinical question. In other words, the search plan is the PICOT question. The search strategy produces an objective and successful search.
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the prices of used car tires is a normally distributed variable with a mean of $50 and variance of $100. what is the probability that the price of a used car tire will be less than $65?
The probability that the price of the used car is less than $65 is 0.55962.
Here it is given that the price of the used car has a mean of $50 and a variance of $100.
Since it follows normal distribution X~N(μ, σ²)
where,
μ = 50
σ = 100
Here we need to find the probability P(X < 65)
To find this we need to convert the distribution to the standard normal form, N~(0, 1)
We know,
P(X < (x - μ)/ σ) = Φ(Z)
Therefore we get
P(X < (65 - 50)/ 100)
Solving this we get the Z value
= Φ(0.15)
From the Z table, we can get our p-value.
= 0.55962
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Help please
Find the values of the variables and the measures of the angles.
Answer:
X= 29 because it is a right angle, and all right angles are = to 90, so you subtract 61 from 90.Y= 29Z= 61
Step-by-step explanation:
Answer:
Step-by-step explanation:
Summation of all angles within a triangle is equal to 180 degrees.
y+61+90=180
Therefore, y = 180-61-90 = 29 degrees
61+x = 90
Therefore, x = 90-61 = 29 degrees
z+90+29 = 180
Therefore, z = 180 - 90 - 29 = 61 degrees
a₁ = 7
an = an-1 - 3
Write explicitly.
Answer:
a(n) = 10 -3n
Step-by-step explanation:
You want the explicit formula for the sequence recursively defined by a(1)=7, a(n)=a(n-1) -3.
Common differenceThe recursion relation tells you that each term is 3 less than the one before. That is, the common difference between terms is -3.
Explicit formulaA sequence with a common difference is an arithmetic sequence. The formula for the n-th term is ...
a(n) = a(1) +d(n -1)
where a(1) is the first term and d is the common difference.
The first term is given by the recursive definition as 7. Then the explicit formula is ...
a(n) = 7 -3(n -1)
This can be simplified to ...
a(n) = 10 -3n
a group of five friends goes to the state fair. each friend pays the entrance fee and buys one booklet of ride tickets and a meal ticket. the entrance fee is d dollars. a booklet of ride tickets costs 2.5 times the entrance fee. a meal ticket costs $4 less than the entrance fee.
Answer: What do you need the total or the equation? I am going to write the equation.
Step-by-Step Solution: (5)(d)+(5)(d)(2.5)+ (5)(d)-4
(x+5)-(x - 5)² for x = 3
The sum of three consecutive even numbers is 558. What is the 1st number?
The sum of three consecutive even numbers is 558, The first number is 184.
The Sum of three consecutive even numbers is 558
We have to find the first number
Let the three consecutive even numbers be:
First number = x
Second number = x + 2
Third number = x + 4
Since their sum is 558
Therefore,
x + x + 2 + x + 4 = 558
3x + 6 = 558
3x = 558 - 6
3x = 552
Divide both sides by 3
Then the first number is 184.
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3. Another bank offers 1.9% annual simple interest for deposits of $10,000 or more. Carter opened an account at this bank with an initial deposit of $12,000. Ruth opened a Deluxe Savings account that same day. If they have both earned the same amount in interest after one year, what was the amount of Ruth's initial deposit?
Ruth must have an initial deposit of $12000 in order to have the same simple interest at the same rate within the same time as Carter
Simple InterestSimple Interest (S.I) is the method of calculating the interest amount for some principal amount of money. Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
The formula of simple interest is given as
S.I = PRT
p = principal amountr = ratet = timeWe can set up equivalent equations since both interest are equal.
S.I = P(1 + RT)
S.I = 12000(1 + 0.019 * 1)
S.I = 12228
But since they earned the same interest at the same rate within the same period, their principal or initial amount invested must be equal
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which of the following sampling approaches first divides the population into subgroups based on one or more variables of interest? group of answer choices simple statistical sampling systematic random sampling stratified random sampling systematic density sampling
The type of sampling is stratified random sampling
Given that,
The population is first divided into subgroups based on one or more important variables. this sampling is nothing but stratified random sampling
What Is Stratified Random Sampling?
A crucial element of the sampling method known as stratified random sampling is the division of a population into smaller subgroups known as strata. Strata are established in stratified random sampling, also known as stratification, based on the shared characteristics or attributes of the participants, such as wealth or level of education. Examining life expectancy and population demographics is just one of the many benefits and uses of stratified random sampling. Other names for stratified random sampling are proportional or quota random sampling..
Hence, this sampling is stratified random sampling
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