Answer:
The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
How do you select sample size using simple random sampling?
Using the method of simple random sampling, The answer is we select sample before collecting data.
What do you mean by random sampling?Random sampling is a method of selecting a sample from a population in such a way that each member of the population has an equal probability of being selected. This ensures that the sample is representative of the population, and reduces bias in the sampling process. In simple random sampling, a random sample is drawn from a larger population by using random number generators, tables of random numbers, or other methods that ensure that each member of the population has an equal chance of being selected.
What are samples?A sample is a portion or a subset of a population that is selected for the purpose of studying characteristics of the population. The sample is used to make inferences or conclusions about the population from which it was drawn. The sample is usually smaller in size than the population, and it is selected through a process called sampling. The process of sampling is used to select a sample that is representative of the population, meaning that the sample has similar characteristics as the population.
In simple random sampling, the sample size is determined before collecting data. There are several ways to determine the sample size, but one common method is to use a sample size calculation formula, such as: n = (z^2 * p * (1-p)) / e^2
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Harprr buys a flannel sheet online for 22.50.If shipping and handling are an additional 35% of the price,how much shipping and handling will haper pay
Answer: 7.88 currency units
Step-by-step explanation:
Shipping and handling are 35% of the price of the flannel sheet so in currency terms are:
= Price of flannel sheet * Additional percentage for shipping and handling
= 22.50 * 35%
= 7.875
= 7.88 currency units
Answer:
787.5
Step-by-step explanation:
22.50×35
=787.5mine is correct, do not believe any expert verified answer,I calculated it now and mine is correctWrite the quadratic equation whose roots are 5 and 6 and whose leading coefficient is 5
(Use the letter x to represent the variable.)
9514 1404 393
Answer:
5x^2 -55x +150 = 0
Step-by-step explanation:
A root of p means (x-p) is a factor. So, the factored form of the equation you want is ...
5(x -5)(x -6) = 0
5(x^2 -11x +30) = 0 . . . . . multiplying binomials
5x^2 -55x +150 = 0 . . . . applying the leading coefficient
Joe draws a circle with center (-2, 0) and a radius of 4 units. If the scale factor is 5/2, what is the radius of a similar circle with the same center?
Answer:
The radius of a similar circle with center (-2, 0) has a length of 10 units.
Step-by-step explanation:
The radius of the new circle ([tex]R[/tex]) is the product of the former radius ([tex]r[/tex]) and the scale factor ([tex]k[/tex]), that is to say:
[tex]R = k\cdot r[/tex] (1)
If we know that [tex]k = \frac{5}{2}[/tex] and [tex]r = 4[/tex], then the radius of the new circle is:
[tex]R = k\cdot r[/tex]
[tex]R = \left(\frac{5}{2} \right)\cdot (4)[/tex]
[tex]R = 10[/tex]
The radius of a similar circle with center (-2, 0) has a length of 10 units.
please help me brailyist for correct answer
Answer:
photo is blurr bro
Step-by-step explanation:
i can't help with this photo
will give brainiest if someone answers correctly
x=
Length=
Width=
According to question,
= 8x² + 6x - 2 = 228
= 8x² + 6x - 230 = 0
= 2(4x² + 3x - 115) = 0
= 2(4x² + 23x - 20x - 115) =0
= 2(x(4x +23) -5(x - 23) )= 0
= 2((x-5)(4x+23)) = 0
x = 5 , x = -23/4
let x = 5
so length 4x - 1
= 4 × 5 - 1
= 19 ft
width = 2x + 2
= 2 × 5 + 2
= 22 ft
_______
gosh! finally did it.. was too big -_-
Please help. Will give brainliest.
Answer:
[tex]T = 3 + {S}^{2} [/tex]
Step-by-step explanation:
Fill in the table and you will see the formula above gives you the total. Substitute S=10 for you answer
How derive the formula?
You have to realize that you are give 3 to start with, so that's your starting constant. Filling in the table and subtracting 3 show help you see that the square of want is left after the subtraction is the square of the step.
Let me know is you need more clarification
If you are doing a linear regression, what is the slope of the line predicted by the null hypothesis?
The null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.
What is the null hypothesis?
The null hypothesis is a common statistical theory that contends that there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.
Here,
We have to find out the slope of the line predicted by the null hypothesis if we are doing a linear regression.
We concluded that the null hypothesis states that the slope is equal to zero, and the alternative hypothesis states that the slope is not equal to zero.
Hence, the null hypothesis is that the linear regression model does not exist. This essentially means that the value of all the coefficients is equal to zero.
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A) 12
B) 7
C) -11
D) 8
6x+4
Answer:
B it will have to be 7 to make this true
Step-by-step explanation:
Find the zeros of the quadratic function: y=x^2-4x-12
Answer:
[tex]x {}^{2} - 4x - 12 = 0 \\ (x - 6)(x + 2) = 0 \\ x = 6 \: \: x = - 2[/tex]
Please help im not smart
heyy! i’ll give brainliest please help
Answer:
elected Council
Step-by-step explanation:
What is the negation of P → PV Q?
The statement "it is not the case that p and q are both true" is made in the negation of p ^ q.
As a result, when p q is true, that is, when one or both of p and q are true, (p q) is true precisely. The sentence is only untrue when both p and q are true. The opposite of the given mathematical statement is the negation of a statement in mathematics. If "P" is a statement, then "~P" is the statement's negation.
The words "~" or "¬" are used to denote a statement's denial.
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Please help quickly!
Use the figure below to answer questions 18-21
Answer:
Step-by-step explanation:
18. m∠1 = 104°
19. m∠2 = 79°
20. m∠3 = 65°
21. m∠5 = 73°
The orange shape is a dilation of the black shape. What is the scale factor of the dilation?
Simplify your answer and write it as a fraction or whole number.
First look at one of the point covered by the black shape, example of which being (2,2).
Next look at where the corrosponding point on the dilated figure is, so keeping with the sample, (10,10).
With this, knowing that both of the shapes are centered around the origin and that they are dilations of each other, do 10/2. to give you 5.
This would be the dilation needed to get the black shape to become the black shape.
Hope that helps.
Let the random variable h represent the height of a woman in the population. P(h<60) represents the probability of randomly selecting a woman with height less than 60 inches. Based on the information given, the probability can be found using either the discrete model or the normal model. 1. Give an example of a probability h that can be found using the discrete model but not the normal model
The probability of h that can be found using the discrete model but not the normal model is 0.03.
A discrete probability distribution or DPD (also known as a discrete probability model) records all possible values of a discrete random variable and gives their probabilities.
The normal probability model involves when the distribution of the continuous outcome conforms reasonably well to a normal or Gaussian distribution, which resembles a bell-shaped curve.
H represents the height of women
Determine P ( H < 60 ) using either a discrete or normal model
using discrete model
P ( H < 60 ) = ∑ relative frequencies of the women with height < 60 inches
P ( H < 60 ) = 0.01 + 0.02 = 0.03
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For a homework assignment, Trudy measured the volume of 7 drinking glasses in her family's kitchen. The volumes of the glasses were:
9 ounces 8 ounces 6 ounces 9 ounces 7 ounces 8 ounces 9 ounces
What was the mean volume?
Answer:
It would be 8
Step-by-step explanation:
please help guys
this question is from geometry
I really need your help
Answer:
[tex]\bold{\boxed{Check explaination for better understanding!}}[/tex]
z=65,y=65,x=50
Step-by-step explanation:
Firstly, let's identify the only angle provided. The angle is an exterior angle.
The exterior angle theorm states that greater than either of the measures of the remote interior angles.
Let's remember that and start solving!
The exterior angle and x form a supplimentary line which means they create 180 degrees.
130+x=180
x=50
Now by the theorm the sum of z+y should be equal to the exterior angle which is 130.
Simply, z+y=130.
So z is equal to 65, and y is equal to 65.
Let's check our answers now.
z=65,y=65,x=50
z+x+y=180
65+50+65=180! That works :)
Hope it helps! :))
The first sequence rule is add 4 starting from 15. The second sequence rule is add 3 starting from 18. What is the first number that appears in both sequences?
Answer: 27
Step-by-step explanation:
Given
In the first sequence, the first term is [tex]a_1=15[/tex]
Common difference is [tex]d_1=4[/tex]
In the second sequence, the first term is [tex]b_1=18[/tex]
Common difference is [tex]d_2=3[/tex]
The nth term of the sequence is [tex]a_n=a+(n-1)d[/tex]
for the same number to appear on both sequence, the nth term must be equal
[tex]\Rightarrow 15+(n-1)4=18+(n-1)3\\\Rightarrow 3=(n-1)\\\Rightarrow n=4[/tex]
Put n=4
[tex]\Rightarrow 15+(4-1)4\\\Rightarrow 15+12=27[/tex]
Therefore, 27 is the first common term in both sequences.
at the age of 7, john is one of the tallest kids in his class. John is just a few inches shorter than his older brother Matthew, who, at the age of 12 is one of the shortest kids in his class
In the given case, Matthew would have a negative z score and John would have a positive z score.
A z-score is a measurement of how far an observation or data point is from the distribution's mean. An observation is said to be above the mean if the z-score is positive, while it is said to be below the mean if the z-score is negative. Therefore, it is possible that John's z-score would be positive, showing that he is taller than the average for his age group if he is one of the tallest children in his class at the age of 7.
In contrast, if 12-year-old Matthew is among the smallest students in his class, it is likely that his z-score will be negative, suggesting that he is shorter than the norm for his age group. Therefore, John would have a positive z-score but Matthew would have a negative one if he is shorter than average for his age group.
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4x – 2y = –1 3 and –4x + 4y = –2 what does x and y equal?
Answer:
X = -7 and y = -7.5
Step-by-step explanation:
Use substitution. Let’s try to get x by itself in the second question since it seems easier.
-4x + 4y = -2
-4x = -2 -4y
x = 1/2 + y
Subsitute that into the other equation for y.
4x -2y = -13
4(1/2 + y) - 2y = -13
2 + 4y -2y = -13 # Use the distributive property
2y = -15 # put together like terms
y = -7.5
Then plug it into the x formula
x = .5 -7.5
x = -7
Answer:
The solution is (-7, -7 1/2)
Step-by-step explanation:
4x – 2y = –13
–4x + 4y = –2
-------------------------
2y = -15, and so y = -7 1/2.
Now find x. If y = -7 1/2, then, from the first equation, we get
4x - 2(-7 1/2) = -13, or
4x + 15 = -13, or
4x = -28, or x = -7
The solution is (-7, -7 1/2).
Its pre-algebra. I need it fast
Answer:
Obtuse and isosceles
Step-by-step explanation:
obtuse because an angle is more than 90* and isosceles because two sides are equal.
Hope this helps!
For what value of k (- 2 is a zero of the polynomial 3x² 4x 2k?
The polynomial's zero is 2 since the value of k = -2 is [tex]3x^{2}[/tex] +4x+2k . A polynomial is an equation that combines variables, constants .
what is polynomial ?Using just the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables, a polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients. Using addition, subtraction, multiplication, and division of numbers, a polynomial is an equation that combines variables, constants, and exponents (No division operation by a variable).
given
−2 is a zero of f(x)=[tex]3x^{2}[/tex]+4x+2k
f(−2)=0
∴[tex]3(-2)^{2}[/tex] +4(−2)+2k=0
=>12−8+2k=0
=>2k=−4
=>k=−2
The polynomial's zero is 2 since the value of k = -2 is [tex]3x^{2}[/tex] +4x+2k .
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solve for x : 4x-6=x+9
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here's the solution ~
[tex]\qquad \sf \dashrightarrow \: 4x - 6 = x + 9[/tex]
[tex]\qquad \sf \dashrightarrow \: 4x - x = 9 + 6[/tex]
[tex]\qquad \sf \dashrightarrow \: 3x = 15[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 15 \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 5[/tex]
Answer:
Step-by-step explanation:
4x-6=x+9
4x-x=9+6
3x=15
Final answer: x = 5
Reduce the fraction and find the domain
The simplification of all the given algebra fractions are;
1) a/c
2) (a - b)/(a - 1)
3) (x + 1)/(x - 4)
How to solve algebraic fractions?An algebraic fraction is defined as a fraction whose numerator and denominator are algebraic expressions.
1) (abc + ab²)/(b²c + bc²)
Factorizing numerator and denominator gives;
ab(c + b)/bc(b + c)
b(b + c) will cancel out to get; a/c
2) (a² - b²)/(a² - a + ab - b)
Factorizing numerator and denominator gives;
[(a + b)(a - b)]/[a(a - 1) + b(a - 1)]
= [(a + b)(a - b)]/(a + b)(a - 1)
(a + b) will cancel out to get;
(a - b)/(a - 1)
3) (x² - 2x - 3)/(x² - 7x + 12)
Expanding the numerator and denominator gives;
(x² - 3x + x - 3)/(x² - 4x - 3x + 12)
= ((x + 1)(x - 3))/((x - 3)(x - 4)
(x - 3) will cancel out to get;
(x + 1)/(x - 4)
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How much faster is parallel computing?
The amount of a program that can be parallelized limits the amount of time it takes to run. For example, if 90% of the program can be parallelized, the theoretical maximum speedup utilizing parallel computing would be 10 times regardless of the number of processors employed.
What is parallel computing?The amount of a program that can be parallelized limits the amount of time it takes to run. For example, if 90% of the program can be parallelized, the theoretical maximum speedup utilizing parallel computing would be 10 times regardless of the number of processors employed. Parallel computing is a sort of computation in which several computations or processes are performed at the same time. Large issues are frequently broken into smaller ones, which may then be tackled concurrently.
Here,
Parallelization can only speed up a program so much. For example, if 90% of the program can be parallelized, the theoretical maximum speedup utilizing parallel computing would be ten times regardless of the number of processors employed.
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A farmer fills a rectangular water trough to a depth of 1 foot.
The trough is 4 feet long and 2 feet wide. How much water
is in the trough?
Answer:
Step-by-step explanation:
Is 8ft
Answer:
It is 8ft
Step-by-step explanation:
easy work
Please help!!! I will mark brainliest
Answer:
P = 14.9
Step-by-step explanation:
i used distance formula:
d = √(difference of y-values, squared, + difference of x-values, squared)
distance from (-2,1) and (2,4): [tex]\sqrt{25}[/tex] = 5
distance from (-2,1) and (-1,-2): [tex]\sqrt{10}[/tex]
distance from (-1,-2) and (2,4): [tex]\sqrt{45}[/tex] = 3[tex]\sqrt{5}[/tex]
P = 5 + [tex]\sqrt{10}[/tex] + 3[tex]\sqrt{5}[/tex] ≈ 14.9
Angle 3 and angle 4 are supplementary. Angle 3 equals 5x + 15 and angle 4 equals 10x. What does x equal
Answer:
X = 11
Step-by-step explanation:
since the angles are supplementary that means their sum is 180
[tex]5x + 15 + 10x = 180 \\ 15x + 15 = 180 \\ 15x = 180 - 15 \\ 15x = 165 \\ x = 165 \div 15 \\ x = 11[/tex]
What unit is equal to Avogadro's number ?
Avogadro's number is a unitless object. It represents a number.
What is unit?
The mass of a particular piece of metal or the length of a particular rod are examples of quantities (specific properties) of objects that have historically been used to define measurement units. An object that has no units is known as unitless.
The proportionality factor that connects the number of constituent particles (often molecules, atoms, or ions) in a sample with the amount of material in that sample is called the Avogadro constant, also known as NA or L. It has a precise value of 6.02214076 × 10²³ reciprocal moles and serves as a SI defining constant.
The value of Avogadro's number is 6.02214076 × 10²³.
One mole of the chemical compound consists of 6.02214076 × 10²³ atoms.
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