The reason why simple random sampling will be a good way to do the selection of bad books is; Option C: He will have a more representative sample if he chooses randomly
What is the importance of simple random sampling?A simple random sample is defined as a randomly selected subset of a particular population. In this method of sampling, it will be noticed that each member of the population has an exactly equal chance of being selected.
The importance of simple random sampling is that it removes every form of bias as every member has an equal chance of being selected. Thus, it will give a good representation of what we want to research.
Now, in this case, since the librarian wants to check a sample of books from the library to get an idea of how many need replacing, it means that a random sampling method is good because;
He will have a more representative sample if he selects randomly as the definition earlier stated makes clear.
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Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.
if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
How to determine the monthly instalment price and instalment price that Daikin needs to pay.Calculating the loan amount for each brand by subtracting the down payment from the cash price:
Loan amount for Daewoo = RM1,899 - RM300 = RM1,599
Loan amount for Daikin = RM1,699 - RM300 = RM1,399
Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699
Calculating the interest charge for each brand:
Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96
Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96
Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96
To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:
Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22
Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89
Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72
Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
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A local little league has a total of 70 players, of whom 40% are right-handed. How many
right-handed players are there? HELP
The number of right-handed players in the local little league given its percentage is 28
How many right-handed players are there?Based on the given task content; the number of right-handed players there can be determined by solving the percentage of right-handed players.
Total number of players in the local little league = 70Percentage of right-handed players = 40%Number of right-handed players = Percentage of right-handed players × Total number of players in the local little league
= 40% × 70
= 40/100 × 70
= 0.4 × 70
= 28
In conclusion, the total number of right-handed players is 28
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20 items per hour x 24 hours per day x 30 days per hour
Answer: 480 items per day, and 14,00 items per mounth.
Step-by-step explanation:
20(24) = 480 items per day
480(30) = 14,400 items per month
Answer:
20x24x30=14,440
Step-by-step explanation:
Find the slope from the table.
Answer:
m=0
Step-by-step explanation:
the slope is calculated using two points on the line and the formula
m = (y2 - y1) ÷ (x2 - x1)
where
x1 and y1 are the coordinates of point 1
x2 and y2 are the coordinates of point 2
for example, you can take
point 1 = (x1;y1) = (-2;3)
point 2 = (x2;y2) = (-1;3)
then your slope is
m = (3 - 3) ÷ (-1 - (-2)) = 0
notice that x1 is always at the left of x2 on the x axis
and it makes sense that your slope is 0 because for each x your y is the same
if 1/10 of the movies at a video rental store are children's movies and 2/3 of those movies are animated what portion of the movies at the video rental store are animated children's movies
Answer:
1/15
Step-by-step explanation:
1/10✖️ 2/3=1/15
Mel buys a shirt that cost 12.50 and some pairs of socks that are 2.50 each.He pays a total of 27.50$.How many pairs of socks did Mel buy?
Answer:
6
Step-by-step explanation:
Let's call the number of pairs of socks he buys s.
\(12.50+2.50s=27.50\)
Subtract 12.50 from both sides:
\(2.50s=15\)
Divide both sides by 2.5 to isolate s:
\(s=6\)
Hope this helps!
The cash register subtracts $2.00 from a $10 Coffee Cafe gift card for every medium coffee the customer buys. Use the graph to write an equation in slope-intercept form to represent this situation.
The equation of the line in the slope-intercept form is: y = -2.00 x + 10.
The slope and provided point are both in the equation for the straight line.
The generic point (x, y) must satisfy the equation if we have a non-vertical land in a that passes through any point(x1, y1) has gradient m.
y-y₁ = m(x-x₁)
It is the necessary equation for a line in the form of a point-slope.
That gift card to the Coffee Café has been provided. = $10
Medium coffee = $2.00
customers
The quantity of coffees a consumer can purchase can be represented using a linear equation.
Slope formula
m = (8 - 10)/(1 - 0)
m = -2
Now consider the line's point-slope shape.
y-y₁ = m(x-x₁)
( y - 10) = -2.00 ( x - 0)
y = -2.00 x + 10
The slope: m = - 2.00
The equation of the line: y = -2.00 x + 10
The y-intercept is 10
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Problem 1
1.a. Use addition or subtraction to rewrite the equation.
13 POINTS
Enter the new equation as your answer.
7x - 3 = -17
Enter your answer
2.b. Use multiplication or division to rewrite the equation that you entered as an answer in part a.
Enter the new equation as your answer. *
(1 Point)
Enter your math answer
Answer:
7x = -14x = -2Step-by-step explanation:
1. Using the addition property of equality, we can add 3 to both sides of the equation. Then it can be rewritten as ...
7x -3 +3 = -17 +3
7x = -14
__
2. Using the division property of equality, we can divide both sides of the equation by 7. Then it can be rewritten as ...
7x/7 = -14/7
x = -2
_____
Additional comment
Note that we have used these steps to solve the equation, find the value of x that makes it true. We could use different steps to rewrite the equation to almost anything you want:
7x -3 -95 = -17 -95 ⇒ 7x -98 = -112 . . . . . subtract 95 from both sides
12(7x -98) = 12(-112) ⇒ 84x -1176 = -1344 . . . . multiply both sides by 12
The resulting equation is not helpful for finding a solution, but it is an accurate rewrite of the original equation.
The balance of an investment is increasing according to the rule: Next year’s balance = 1.08 x current balance What is the constant percent increase per year? If the original balance of the investment was $2000 find a formula that gives the balance B (in dollars) after T years.
Answer:
The constant percent increase per year is 8%.
\(B(T) = 2000(1.08)^{T}{/tex]
Step-by-step explanation:
The amount in the balance after T years is given by the following equation:
\(B(T) = B(0)(1+r)^{T}\)
In which B(0) is the initial amount and r is the growth rate, as a decimal.
Next year’s balance = 1.08 x current balance
So
\(B(1) = (1.08)B(0)\)
This means that:
\(1 + r = 1.08\)
\(r = 1.08 - 1\)
\(r = 0.08\)
The constant percent increase per year is 8%
If the original balance of the investment was $2000 find a formula that gives the balance B (in dollars) after T years.
This means that \(B(0) = 2000\)
So
\(B(T) = B(0)(1+r)^{T}\)
\(B(T) = 2000(1+0.08)^{T}\)
\(B(T) = 2000(1.08)^{T}{/tex]
Answer:
\(\large \boxed{1. 8 \, \%; \, 2. \, B_{T} = 2000(1.08)^{T}}\)
Step-by-step explanation:
1. Rate of increase
Let B = this year's balance. Then
1.08B = next year's balance
1.08B = B + 0.08B = B + 8 % of B
\(\text{The rate of increase of B is $\large \boxed{\mathbf{8 \%}}$ per year.}\)
2. The formula
Each year, the balance is multiplied by 1.08.
The end of a year is the same as the end of the previous year.
If T = the number of years, then the balance at the beginning of Year 1 is B₀.
\(B_{T} = B_{0}(1.08)^{T}\)
If B₀ = $2000, the formula becomes
\(\large \boxed{\mathbf{B_{T} = 2000(1.08)^{T}}}$\)
The group of individuals fitting a description is the _____
A.census
B.sample
C.parameter
D.population
The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.
What is population?The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.
There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.
Therefore, the correct option is D
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See full text below
A group of individuals fitting a description is the _____
Which of the term below fit the description above.
A.census
B.sample
C.parameter
D.population
What’s 1 times 5 times 2?
Answer:
10
Step-by-step explanation:
Answer:10
Step-by-step explanation:1×5=5×2=10
Find two square numbers that total 45
You are studying a population of squirrels on the south rim of the Grand Canyon and find that 9 squirrels out of 100 observed had a unique, solid black color variation. In other mammals, the solid black color variation is caused by a recessive allele, and you assume that to be the case with these squirrels. If the population is in Hardy-Weinberg equilibrium, which of the following would be true?
A. q2 = 0.09
B. .q2 = 0.9
C. The frequency of the black color allele is 0.3, the frequency of the dominant allele is 0.7
D. The frequency of the heterozygous genotype is 4.2%
E. A and C
Which of the following is/are possible applications for use of the CRISPR-Cas9 system?
A. Disable dominant deleterious genes
B. Turn on and off specific genes by disabling Cas9 nuclease activity and attaching it to a transcriptional activator or repressor protein
C. Study gene function
D. all of the above
Genome wide association studies are important for behavioral disorders because
A. Candidate genes can be identified for further study
B. They provide an association between genetic loci and phenotypes
C. They provide a tool to help understand how genetic and environmental factors interact to cause psychiatric disorders
D. all of the above
Answer:
Step-by-step explanation:
Ans-1.)
q 2 = 9 /100 (A) q = 0.3 (p + q) 2 = 1 p + q = 1 p = 1- q = 1 - 0.3 p = 0.7 * The frequency of black color allele is 0.3 and dominant allele is 0.7 (C)
* (A) and (C)Ans -2.) CRISPR -Cas 9 system has very wide application :
* can be used to disable the dominant deleterious genes .
* Turn on and off by disabling Cas9 nuclease activity and attaching to a transcriptional activator or repressor protein.
* widely used to study function
* All the above (answer)Ans-3.) Genome wide association studies are important to study behavioral disorders because
* candidate genes identified for further studies.
* Provide an association between genetic loci and phenotypes.
* Provide a tool to help understand how genetic and environmental factors interact to pyschiatric disorders
* All of the above (answer)please help me i’ll give you brainlist!
X intercept: 10/5
Y intercept: 0
How to find intercept of a linear equation?To find the intercepts of a linear equation, you need to set either the X or Y variable to 0 and then solve for the other variable.
For example, if you have the equation 5x - 2y = 10, you can set X equal to 0 and solve for Y to find the Y intercept, or you can set Y equal to 0 and solve for X to find the X intercept.
X Intercept:
To find the X intercept, set Y equal to 0 and solve for X.
5x - 2(0) = 10
5x = 10
x = 10/5
X intercept = 10/5
Y Intercept:
To find the Y intercept, set X equal to 0 and solve for Y.
5(0) - 2y = 10
-2y = 10
y = -10/2
Y intercept = 0
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Which of the following equations represent a proportional relationship?
Choose all that apply.
Answer:
I tried to draw it out for you
3) Heather has 20 liters of a 20% salt solution hydration drink that is used by
athletes to prevent muscle cramping during practice and events. She needs to
increase the hydration drink to a 25% salt solution. How much salt does she need
to add to the original drink?
The amount of salt she needs to add to the original drink is 1 liter
The given parameters;
original volume of the solution, v = 20 liters
original percentage of salt solution, = 20%
final concentration of the salt, = 25%
The actual amount of salt in the original solution
= 20 x 0.2 = 4
Let the new amount of salt to be added in order to increase its concentration to 25% = x
\(\frac{x + 4}{4} = 1.25\\\\x+ 4 = 5\\\\x = 5 - 4\\\\x = 1\)
Thus, the amount of salt she needs to add to the original drink is 1 liter
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In ΔTUV, u = 3.4 inches, m∠U=144° and m∠V=35°. Find the length of v, to the nearest 10th of an inch.
The length of v to the nearest 10th of an inch is 2.0 inches.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
We can use the Law of Sines,
Which states that for any triangle ABC:
a/sin(A) = b/sin(B) = c/sin(C)
where a, b, and c are the lengths of the sides of the triangle opposite the angles A, B, and C.
Now,
a = UV = u = 3.4 inches
A = ∠TUV
= 180° - m∠U - m∠V
= 180° - 144° - 35°
= 1°
B = ∠UTV
= m∠U
= 144°
C = ∠TVU
= m∠V
= 35°
Using the Law of Sines,
v/sin(C) = u/sin(B)
Substituting in the values.
v/sin(35°) = 3.4/sin(144°)
Solving for v.
v = (3.4 × sin(35°)) / sin(144°)
v = 1.97 inches
Therefore,
The length of v to the nearest 10th of an inch is 2.0 inches.
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Solve for x.Question options:A) 11 B) 13 C) 12 D) 10
Notice that triangles QRS and YRZ are similar, therefore:
\(\frac{YZ}{QS}=\frac{YR}{QR}=\frac{1}{2}\text{.}\)Substituting YZ=x+2, QS=3x-8, and solving for x we get:
\(\begin{gathered} \frac{x+2}{3x-8}=\frac{1}{2}, \\ 2(x+2)=3x-8, \\ 2x+4=3x-8, \\ x=12. \end{gathered}\)Answer: Option C).
Guys please i need help on this, i will give brainliest to the right answers
i think the answer is 4 hope it helps
The cost of 7 scarves is $61.25. What is the unit price?
Answer:
$8.75
Step-by-step explanation:
$61.25/7 = 8.75
Please help me please!!!!!!!!!
Step-by-step explanation:
the radius is diameter divided by 2
7/2/2 =1 .75
circumference of a circle is 2πr
2*22/7*1.75=11
3.14*11 =34.54
In which table does y vary inversely with x? A. x y 1 3 2 9 3 27 B. x y 1 -5 2 5 3 15 C. x y 1 18 2 9 3 6 D. x y 1 4 2 8 3 12
Answer:
In Table C, y vary inversely with x.
1×18 = 18
2×9 = 18
3×6 = 18
18 = 18 = 18
Step-by-step explanation:
We are given four tables and asked to find out in which table y vary inversely with x.
We know that an inverse relation has a form given by
y = k/x
xy = k
where k must be a constant
Table A:
x | y
1 | 3
2 | 9
3 | 27
1×3 = 3
2×9 = 18
3×27 = 81
3 ≠ 18 ≠ 81
Hence y does not vary inversely with x.
Table B:
x | y
1 | -5
2 | 5
3 | 15
1×-5 = -5
2×5 = 10
3×15 = 45
-5 ≠ 10 ≠ 45
Hence y does not vary inversely with x.
Table C:
x | y
1 | 18
2 | 9
3 | 6
1×18 = 18
2×9 = 18
3×6 = 18
18 = 18 = 18
Hence y vary inversely with x.
Table D:
x | y
1 | 4
2 | 8
3 | 12
1×4 = 4
2×8 = 16
3×12 = 36
4 ≠ 16 ≠ 36
Hence y does not vary inversely with x.
The population of a rural city follows the exponential growth model P(t)=3400^0.0371t where t is the number of years after 1986 . a) Use this model to approximate the population in 2030.
After answering the presented question, we can conclude that expressions Therefore, the population of the rural city in 2030 is approximately 11,014.18.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.
To approximate the population in 2030, we need to find the value of P(t) when t = 44, since 2030 is 44 years after 1986.
Using the given exponential growth model, we have:
\(P(t) = 3400^(0.0371t)\\P(44) = 3400^(0.0371*44)\\P(44) = 3400^1.6334\\P(44) = 11014.18\\\)
Therefore, the population of the rural city in 2030 is approximately 11,014.18.
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Aaliyah buys a jar of chocolate milk mix. The container holds 14 2/5 ounces of
powder. If she uses 1 1/10 ounce a day, how long will the jar last. Explain or show
how you arrived at your answer for full credit.
Answer:
13 days
Step-by-step explanation:
fractions 72/5÷ 11/10
72/5 × 10/11
72×2/11=144/11=13 1/11
From the set {5, 7, 40}, use substitution to determine which value of x makes the equation true.
7(x + 35) = 280
A. 7
B. none of these
C. 40
D. 5
Please help me !!!!
Answer:
I am in middle school
Step-by-step explanation:
Answer:
D. 5
Step-by-step explanation:
7 (x + 35) = 280
x + 35 = 280/7
= 40
x = 40 - 35
= 5
So it the correct option is D. Sorry I am late!!
What is the y-intercept of the line?
x 16 24 32
y 44 64 84
Answer:
The y-intercept of the line is 2
Step-by-step explanation:
You could try to find the slope of the line and then find the intercept with y axis by sloving b = y - ax
But here it seems easy enough once you see that the x values in the table increase by a factor of 8 and the y values in the table increase by a factor of 20.
(By the way, this is enough to give you the slope, because it is 8/20 ). But why bother?
Just extrapolate the table to the left, and you will find the y value where x = 0
x 0 8 16 24 32
y 2 22 44 64 84
So the y-intercept of the line is 2.
Extra:
The full equation of the line is:
y = 8/20x + 2
Answer:
(0,4)
Step-by-step explanation:
Type the correct answer in each box. If necessary, use /for the fraction bars
Answer:
The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.
Step-by-step explanation:
The complete question is:
Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).
A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes.
3, 4, 5, 2, 7, 1, 3, 7, 2, 6, 2, 1, 7, 3, 6, 1, 8, 3, 5, 6
The experimental probability of rolling an odd number is _%, which is _% more than the theoretical probability.
Solution:
The possible outcomes of rolling an 8-sided die are:
S = {1, 2, 3, 4, 5, 6, 7, 8}
The odd numbers are:
Odd = {1, 3, 5, 7} = 4 outcomes
The theoretical probability of rolling an odd number is:
\(P_{T}(\text{Odd})=\farc{4}{8}=\frac{1}{2}=50\%\)
Now from the given 20 outcomes the odd values are:
Odd = {3, 5, 7, 1, 3, 7, 1, 7, 3, 1, 3, 5} = 12 outcomes
Compute the experimental probability of rolling an odd number as follows:
\(P_{E}(\text{Odd})=\frac{12}{20}=\frac{3}{5}=60\%\)
Thus, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.
help me please! is compound interest
Answer:
7,200
Step-by-step explanation:
help me please Point Q is located on the coordinate grid at (−9.73, −3.32). In which quadrant is point Q located?
Because both of the components of the point are negative, we conclude that it is on the third quadrant.
In which quadrant is Q located?For a point with coordinates (x, y) we have the following rule:
If x > 0, y > 0, the point is on the first quadrant.If x < 0, y > 0, the point is on the second quadrant.If x < 0, y < 0, the point is on the third quadrant.If x > 0, y < 0, the point is on the fourth quadrant.In this case, we have the point (−9.73, −3.32), where both components are negative, then we can conclude that it must be on the third quadrant.
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Person A baked 4 1/2 Dozens of cookies for a bake sale.
Person B Baked 1 1/2 as many as Person A
Person C Baked 2 1/3 as many as Person B
How many cookies did each person bake? How many did they bake altogether?
Please also tell me how you got the answer, thanks.
This question is related to Fractions.
The cookies that each person bake will be:
A = 4 1/2 dozen cookies
B = 6 3/4 dozen cookies
C = 15 3/4 dozen cookies.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
Person A baked 4 1/2 Dozens of cookies for a bake sale. Person B Baked 1 1/2 as many as Person A. This will be:
= 1 1/2 × 4 1/2
= 6 3/4
Person C Baked 2 1/3 as many as Person B. This will be:
= 2 1/3 × 6 3/4
= 7/3 × 27/4
= 15 3/4
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