The researchers could utilize a probability sample.
Meaning of a Probability Sample
Every member of a population must have an equal chance of being chosen for a study in order for a sample to be considered a probability sample, and the researcher must be aware of this likelihood. The most typical type of sampling used in public opinion research, election polling, and other studies whose findings will be generalized to a larger population is probability sampling in which probability samples are made use of.
Probability Sample as the Representative of Population Sample
Here, a sample that qualifies for a representative of the population the researchers are studying, must consist of members having equal chances to be chosen for the study. Thus, a probability sample is the best representative of their study population.
Learn more about probability sample here:
https://brainly.com/question/28016369
#SPJ4
A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude of Hong Kong is 22.27°, and its longitude is 114.15°. What is the helicopter’s net change in latitude and longitude as it travels from Hong Kong to Jakarta?
The net Change in latitude and longitude of the helicopter are; 28.47° and 7.35° respectively.
What is the net Change in latitude and longitude of the helicopter?The net change in latitude of the helicopter can be evaluated as follows;
x = |-6.20° - 22.27°| = |-28.47°|
x = 28.47°
The net change in longitude of the helicopter can be evaluated similarly as follows;
y = |106.80° - 114.15°| = |-7.35°|
x= 7.35°
Read more on longitude and latitude;
https://brainly.com/question/1939015
#SPJ1
Carson buys eggs and lemons at the store. he pays a total of $39.62. he pays $6.74 for the eggs. he buys 8 bags of lemons that each cost the same amount.
The algebraic equation is used to determine the costs of each bag of lemons is 8x = $39.62 - $6.74
According to the question,
Cost of 1 bag of lemons = $x
Cost of 8 bags of lemons = 8*x = 8x
Cost of 8 bags of lemons = Total cost - cost of the egg
8x = $39.62 - $6.74
Hence, the algebraic equation is used to determine the costs of each bag of lemons is 8x = $39.62 - $6.74.
Learn more about algebraic equation here
https://brainly.com/question/22163226
#SPJ4
Help please, will give brainliest
Answer: The answer is D
Step-by-step explanation:
If you can please explain how you got your answer so I can understand, Thank you!
Answer:
3 2/5
Step-by-step explanation:
Each slash/mark on the number line is 1/5, meaning that 6 marks away is 3 2/5.
To further explain how I know each mark is 1/5, each question had a denominator of 5, and if you count each mark from 2 1/5 (2 2/5, 2 3/5, 2 4/5, 3, etc) you will eventually land on 4 evenly.
Francisco's credit card has an APR of 13%, calculated on the previous
monthly balance, and a minimum payment of 2%, starting the month after the
first purchase. His credit card record for the last 7 months is shown in the
table below.
A.609.87
B.45.52
C.330.35
D.279.53
The amount of the $5200 charge that Francisco made during the first month has been paid off will be $279.53 based on the APR.
What is APR?Annual percentage rate (APR) refers to the yearly interest generated by a sum that's charged to borrowers or paid to investors
For credit cards, the interest rates are typically stated as a yearly rate. This is called the annual percentage rate.
The amount of the $5200 charge that Francisco made during the first month has been paid off will be the total of the principal paid which is:
Principal paid = $47.67+$47.23+$46.80+$46.37+$45.94+$45.52
=$279.53
Therefore, the amount of the $5200 charge that Francisco made during the first month has been paid off will be $279.53.
In conclusion, the correct option is D.
Learn more about APR on:
https://brainly.com/question/16937491
#SPJ1
Complete question:
How much of the amount of the $5200 charge has Francisco paid off in the first month?
Determine the slope of a line that is perpendicular to a line with coordinates (4, -2) and (-1, 3).
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the line above
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{4}}} \implies \cfrac{3 +2}{-1 -4}\implies \cfrac{5}{-5}\implies \cfrac{1}{-1}\implies -1 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{1}{-1}} ~\hfill \stackrel{reciprocal}{\cfrac{-1}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{-1}{1}\implies 1}}[/tex]
Can someone help me with this having trouble !
Answer:
B. The coefficient of the second term is -5.
and
D. The coefficient of the fourth term is -10.
Step-by-step explanation:
The coefficient is the number being multiplied by a variable.
Hope this helps!
Answer:
Tick:
- the coefficient of the second term is -5
- the coefficient of the fourth term is -10
Explanation:
The coefficient of an expression is simply the number placed before and multiplying the variable (e.g. 10x ; the coefficient is 10, the variable is x)
Hope this makes sense. Feel free to inquire further if need be!
- profparis
Find the diameter that represents the 49th percentile
Using the normal distribution, the diameter that represents the 49th percentile is of 1.52 units.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Using a calculator, the mean and the standard deviation for the diameters are given as follows:
[tex]\mu = 1.524, \sigma = 0.1226[/tex]
The 49th percentile is X when Z = -0.025, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.025 = \frac{X - 1.524}{0.1226}[/tex]
X - 1.524 = -0.025 x 0.1226
X = 1.52.
More can be learned about the normal distribution at https://brainly.com/question/15181104
#SPJ1
16. c= vλ. If c = 2.998 x 10^8 m/s, v= 4.41 x 10¹4 s-¹; find a value for λ.
Answer:
6.80 x 10⁻⁷ m
Step-by-step explanation:
You can find the value of λ by inserting the given values into the equation and simplifying.
c = vλ <----- Given equation
2.998 x 10⁸ m/s = (4.41 x 10¹⁴ s⁻¹)λ <----- Insert values
6.80 x 10⁻⁷ m = λ <----- Divide both sides by 4.41 x 10¹⁴
A simple random sample of size n is drawn from a normally distributed population, and the mean of the sample is x Overbar, while the standard deviation is s. What is the 90% confidence interval for the population mean
The mean of the sample is x-bar is determined to be 59.2 and population standard deviation, σ, is known to be 3.8. The 90% confidence interval about μ if the sample size, n, is 45 be 58.27< μ<60.13
A simple random sample of size n is drawn from a population whose population standard deviation, σ, is known to be 3.8. The sample mean, x-bar, is determined to be 59.2.
Hence,
n=45
σ=3.8
x-bar=59.2
The z value for the 90% confidence interval is z=1.645.
Then, μ=(x-bar)±(z×σ/[tex]\sqrt{n}[/tex])
μ=59.2±(1.645×3.8/[tex]\sqrt{45}[/tex])
μ=59.2±0.9318
59.2-0.9318<μ<59.2+0.9318
58.27< μ<60.13
Therefore, The 90% confidence interval about μ if the sample size, n, is 45 be 58.27< μ<60.13
Learn more about confidence interval on
https://brainly.com/question/15969219
#SPJ1
What is the slope of a line that passes through the point (3,-4) and has a y-intercept of -5
Answer:
1/3 = slope
Step-by-step explanation:
Start with
y = mx + b
b = -5 given , now sub in the given point to calculate m =slope
-4 = m(3) - 5 add 5 to both sides
1 = m(3) divide through by 3
1/3 = m = slope
There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20.
An equation created to find the smaller number will have_________
.
Step-by-step explanation:
x, y = 2 numbers
x = 2y
y - x/2 = 20
this is impossible to solve. there is no solution.
because the first equation tells us
y = x/2
and so the second equation is
x/2 - x/2 = 20
0 = 20
so, again, no solution.
A worker at a shoe factory is required to box at least
8
pairs of shoes per minute, but is not allowed to box more than
12
pairs of shoes per minute. According to this information, what is a possible amount of time, in minutes, that it could take the worker to box
168
pairs of shoes?
The possible amount of time, in minutes, that it could take the worker to box 168 pairs of shoes is between 14 minutes to 21 minutes.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
A worker at a shoe factory is required to box at least 8 pairs of shoes per minute, and not more than 12 pairs of shoes per minute.
For 168 pairs of shoe:
Maximum time = 168 pair / 8 pairs per minute = 21 minutes
Minimum time = 168 pair / 12 pairs per minute = 14 minutes
The possible amount of time, in minutes, that it could take the worker to box 168 pairs of shoes is between 14 minutes to 21 minutes.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
If the parabola of equation y=k−x2 is tangent to the line of the equation y=x then what is the value of k ?
The value of k is 1/4.
According to the statement
we have given
The equation of parabola is y=k−x2
And tangent to the line of equation is y = x
and we have to find the value of K.
So, let y=k−x2 -(1)
and let y = x -(2)
(2) is the tangent to the (1) then
therefore they cut at
y=k−x2 -(1)
y = x -(2)
so, put (2) in the (1) then
x = k- (x)^2
(x)^2 + x = k
The above written equation has one real number then for this D =0
so, (x)^2 + x - k = 0
-1 -1*4*k = 0
-1 - 4k = 0
-4k = 1
The value of k is -1/4.
So, The value of k is 1/4.
Learn more about PARABOLA here https://brainly.com/question/4061870
#SPJ4
What term describes the brief time-out of the heart's electrical impulse that allows for sufficient time for ventricular filling between beats
Refractory period brief time-out of the heart's electrical impulse that allows for sufficient time for ventricular filling between beats.
At what time is the volume of blood in the ventricle at a maximum?End-diastolic pressure is at its resting level (end-diastolic pressure) and ventricular volumes are at their maximum value when the heart muscle is relaxed (end-diastolic volume).
What is the state of the heart during systole?
Describe what occurs during systole in the heart. Describe where the blood is sent from each ventricle. Right ventricle transfers blood into the pulmonary artery during ventricular contraction and pumps it to the heart.What are the 4 phases of cardiac cycle?
There are four main stages of activity in the cardiac cycle: Isovolumic contraction, inflow, ejection, and relaxation are the order of events. (See Wiggers graphic, which labels the stages in the following order: 3, 4, 1, and 2, from left to right.)Learn more about Refractory period
brainly.com/question/13044654
#SPJ4
If there is a crossword that has three squares that need to be filled, how many possible three letter arrangements are there (assuming they do not have to make a real word, and no letter can be repeated)
There is a crossword that has three squares that need to be filled, how many possible three letter arrangements is 26!/23.
To find the number of possible three letter arrangements.
what is permutation and combination?An arrangement of things in a certain sequence is what we refer to as a permutation. The constituents or components of sets are presented in this section in a sequential or chronological fashion. A coming together or merging of several parts or characteristics in which each of the constituent parts or traits retains its unique identity.
Given that:
26 possible letters
assuming you can repeat them
26*26*26
no listed
ok, lets assume that you can't repeat them
that is 26 times 25 times 24 (because you used 1 each time)
that is 26!/23 (because 26*25*24*23!=26!)
Hence, the number of possible three letter arrangements is 26!/23.
Learn more about permutation and combination here:
https://brainly.com/question/28090427
#SPJ1
Option is missing
A.26!
B.26!/3!
C.23!
D.26!/23
State the conditions required for a random variable x to follow a poisson process.
The conditions required for a random variable X to follow a Poisson process. The probability of success is the sme for aany two intervals of equal length. The probability of two or more successes in any sufficiently small subinterval is 0.
Is the time required to upload a file to the Internet discrete or continuous?Is the length of time it takes to download a file from the Internet a random variable, a continuous random variable, or not at all? A continuous random variable, that is.Is the a discrete random variable a continuous random variable or not a random variable?A variable whose value is determined by counting is referred to as a discrete variable. A continuous variable is one whose value may be determined through measurement. A random variable is a variable whose value is the resultant number of an unpredictable event. There are a countable number of potential values for the discrete random variable X.How do you determine whether the random variable is discrete or continuous?A discrete variable is one that is random. if the number of possible values is either countable or finite. Continuous refers to a variable that is random. if the range of possible values includes all conceivable numbers.
Learn more about continuous function here:
https://brainly.com/question/18102431
#SPJ4
ind the hypotenuse of the following triangle. [2]
This is a RIGHT ANGLE triangle!
c2 =a2 +b2
that's the rule
for example
c2=5^2+5^2
c2=25+25
c2=50 square root is
c=7.07^2
helppppppp please help help
The y-value of the terminal point of the vector is 3.
How to determine the resulting vector by applying rotation about the origin
In this question we must apply a matricial form of rotation, which is a kind of rigid transformation. This transformation is defined by the following formula:
[tex]\vec A' = \vec T\cdot \vec A[/tex], where [tex]\vec A' , \vec A \in \mathbb{R}_{1 \times 2}[/tex], [tex]\vec T \in \mathbb{R}_{2 \times 2}[/tex]
If we knw that [tex]\vec A = \left[\begin{array}{c}- 4\\3\end{array}\right][/tex] and [tex]\vec T = \left[\begin{array}{cc}-1&0\\0&1\end{array}\right][/tex], then the transformed vector column is:
[tex]\left[\begin{array}{cc}x\\y\end{array}\right] = \left[\begin{array}{cc}-1&0\\0&1\end{array}\right] \cdot \left[\begin{array}{cc}-4\\3\end{array}\right][/tex]
[tex]\left[\begin{array}{cc}x\\y\end{array}\right] = \left[\begin{array}{cc}4\\3\end{array}\right][/tex]
The y-value of the terminal point of the vector is 3.
To learn more on rotations: https://brainly.com/question/12091224
#SPJ1
determine the slope of the line
Answer: -1/2
Step-by-step explanation:
The slope of a line tells you how steep the line is, and what direction it is going in. We can calculate the slope by seeing how much the line moves horizontally and vertically.
We can calculate the slope using [tex]\frac{rise}{run}[/tex], which is how much a point rises (goes up or down) and runs (goes left or right) to go to the next point.
Let's take two points on the graph: (-2, 0) and (0, -4). The rise will be the difference of the y-values, and the run will be the difference of the x-values.
[tex]\frac{-2-0}{0-(-4)}=\frac{-2}{4}=\frac{-1}{2}[/tex]
Hence, the slope of this line is [tex]\frac{-1}{2}[/tex]
Find 0 Round to the nearest degree.
OA. 68°
OB. 69°
OC. 22°
OD. 21°
Answer:
A
Step-by-step explanation:
[tex]\cos \theta=\frac{3}{8} \\ \\ \theta=\cos^{-1} \left(\frac{3}{8} \right) \\ \\ \theta \approx 68^{\circ}[/tex]
Which two statements would produce a tautology? (p q) (p q) (p q) (p q) q (p q) (p q) p
(p p) would produce Tautology.
Tautology:
It is needless repetition of an idea, statement, or word Rhetorical repetition, tautology ('always and for ever'), banal metaphor, and short paragraphs are part of the jargon.— Philip Howard. b : an instance of such repetition The phrase "a beginner who has just started" is a tautology.
A tautology is an expression or phrase that says the same thing twice, just in a different way. For this reason, tautology is usually undesirable, as it can make you sound wordier than you need to be and make you appear foolish.
Learn more about Tautology on:
https://brainly.com/question/14523081
#SPJ4
WILL MARK BRAINLIEST!!!
1. Describe three different ways to solve a quadratic equation. Describe the strengths and limitations of each method, and explain how you would decide which one to use to solve a particular problem.
2. Derive the quadratic formula from the standard form (ax2 + bx + c = 0) of a quadratic equation by following the steps below.
Divide all terms in the equation by a.
Subtract the constant (the term without an x) from both sides.
Add a constant (in terms of a and b) that will complete the square.
Take the square root of both sides of the equation.
Solve for x.
3. Write a linear equation that intersects y = x2 at two points. Then write a second linear equation that intersects y = x2 at just one point, and a third linear equation that does not intersect y = x2. Explain how you found the linear equations.
Thank You!!
The ways that can be used to solve a quadratic equation include:
Factorization
Using the quadratic formula.
Completing the squares.
What is a quadratic equation?It should be noted that a quadratic equation simply means an algebraic equation of the second degree in x.
Here, the factorization, using the quadratic formula, and completing the squares method can be used.
Learn more about quadratic equation on:
brainly.com/question/121433
#SPJ1
BE is two units longer than a EDE is five units longer than a E and CE is 12 units longer than AE what is BD
Length of BD is 11 units.
The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.
Let length of AE be x
By intersecting chords theorem,
AE(ED) = BC(DE)
x(x + 12) = (x +2)(x +5)
x² + 12x= x² + 7x + 10
5x = 10
x = 2
BD = BE + DE
= x + x +7
= 2x + 7
= 2(2) + 7
= 11 units
Learn more about intersecting chords theorem here :
https://brainly.com/question/13950364
#SPJ1
I need helppppp for this question
Answer:
too small
Step-by-step explanation:
Please look at the picture, I need help ASAP.
See below for the proof that the areas of the lune and the isosceles triangle are equal
How to prove the areas?The area of the isosceles triangle is:
[tex]A_1 = \frac 12r^2\sin(\theta)[/tex]
Where r represents the radius.
From the figure, we have:
[tex]\theta = 90[/tex]
So, the equation becomes
[tex]A_1 = \frac 12r^2\sin(90)[/tex]
Evaluate
[tex]A_1 = \frac 12r^2[/tex]
Next, we calculate the length (L) of the chord as follows:
[tex]\sin(45) = \frac{\frac 12L}{r}[/tex]
Multiply both sides by r
[tex]r\sin(45) = \frac 12L[/tex]
Multiply by 2
[tex]L = 2r\sin(45)[/tex]
This gives
[tex]L = 2r\times \frac{\sqrt 2}{2}[/tex]
[tex]L = r\sqrt 2[/tex]
The area of the semicircle is then calculated as:
[tex]A_2 = \frac 12 \pi (\frac{L}{2})^2[/tex]
This gives
[tex]A_2 = \frac 12 \pi (\frac{r\sqrt 2}{2})^2[/tex]
Evaluate the square
[tex]A_2 = \frac 12 \pi (\frac{2r^2}{4})[/tex]
Divide
[tex]A_2 = \frac{\pi r^2}{4}[/tex]
Next, calculate the area of the chord using
[tex]A_3 = \frac 12r^2(\theta - \sin(\theta))[/tex]
Recall that:
[tex]\theta = 90[/tex]
Convert to radians
[tex]\theta = \frac{\pi}{2}[/tex]
So, we have:
[tex]A_3 = \frac 12r^2(\frac{\pi}{2} - \sin(\frac{\pi}{2}))[/tex]
This gives
[tex]A_3 = \frac 12r^2(\frac{\pi}{2} - 1)[/tex]
The area of the lune is then calculated as:
[tex]A = A_2 - A_3[/tex]
This gives
[tex]A = \frac{\pi r^2}{4} - \frac 12r^2(\frac{\pi}{2} - 1)[/tex]
Expand
[tex]A = \frac{\pi r^2}{4} - \frac{\pi r^2}{4} + \frac 12r^2[/tex]
Evaluate the difference
[tex]A = \frac 12r^2[/tex]
Recall that the area of the isosceles triangle is
[tex]A_1 = \frac 12r^2[/tex]
By comparison, we have:
[tex]A = A_1 = \frac 12r^2[/tex]
This means that the areas of the lune and the isosceles triangle are equal
Read more about areas at:
https://brainly.com/question/27683633
#SPJ1
choose the equation that satisfies the data in the table
Answer:
B is the answer
Step-by-step explanation:
What is the number of degrees in the measure of the smaller obtuse angle formed by the hands of a standard clock at 2:48pm
Answer: 156 degrees
Step-by-step explanation:
Using the image below, identify the type of angle relationship, construct the equation, and find x. Do not include any spaces in your answers.
If you are using a screen-reader, please consult your instructor for assistance.
Type of Angle Relationship:
Angles (You may use spaces in your answer here.)
Equation:
+
=
Solve: x=
Find each difference and show work please !!
Answer:
X-19
Step-by-step explanation:
First you need to distribute the three into the numbers in the parenthesis,
(3 * x) + (3 * -5) - (2x + 4)
That then turns into,
3x - 15 - (2x + 4)
but we aren't done distributing yet, because the second set of parenthesis has a negative sign in front of it we also have to distribute that. (this is because the negative sign is really just -1)
3x - 15 + (-1 * 2x) + (-1 * 4)
that turns into,
3x - 15 - 2x -4
from here all we have to do is add like terms,
(3x - 2x) + (-15 + -4)
and that leaves us with: 1x -19 or x-19
Hope that helped :))