Step-by-step explanation:
When you're determining the statistical validity of your data, there are four criteria to consider. Population: The reach or total number of people to whom you want to apply the data. ... Confidence: How confident you need to be that your data is accurate. Expressed as a percentage, the typical value is 95% or 0.95.
The mean absolute deviation for people without high school diploma is?
Answer:
Hope it helps
Step-by-step explanation:
The mean absolute deviation for a high school diploma is more than the mean absolute deviation for no high school diploma.
What is the mean absolute deviation?It is the average distance between each data point and the mean.
The mean absolute deviation is given as
[tex]\rm MAD = \dfrac{\Sigma _{i = 1}^n|x_i - \mu|}{n}[/tex]
The table is given below.
No high school diploma High school diploma
10 19
9.50 15.25
11.50 14
13 15.75
The mean of No high school diploma will be given as,
μ₁ = (10 + 9.50 + 11.50 + 13) / 4
μ₁ = 11
Then the mean absolute deviation is calculated as,
(MAD)₁ = (|10 - 11| + |9.5 - 11| + |11.5 - 11| + |13 - 11|) / 4
(MAD)₁ = 1.25
The mean of high school diploma will be given as,
μ₂ = (19 + 15.25 + 14 + 15.75) / 4
μ₂ = 16
Then the mean absolute deviation is calculated as,
(MAD)₂ = (|19 - 16| + |15.25 - 16| + |14 - 16| + |15.75 - 16|) / 4
(MAD)₂ = 1.50
The mean absolute deviation for a high school diploma is more than the mean absolute deviation for no high school diploma.
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The complete question is given below.
RT and GJ are chords that intersect at point H.
A circle is shown. Chords R T and G J intersect at point H.
If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ?
18 units
20 units
26 units
28 units
Answer:
20 units
Step-by-step explanation:
Given that:
R T and G J intersect at point H.
RH = 10 unitsHT = 16 unitsGH = 8 unitsAs we know, when two chords intersect each other inside a circle, the products of their segments are equal.
So the product of RH and HT = 10*16 = 180 units
<=> the product of GH*HJ = 160 units
<=> HJ = 160 / GH
<=> HJ = 160/8 = 20 units
Answer:
b 20 on edge
Step-by-step explanation:
Mean (ul) = 510 and standard deviation (0) = 80
1. What is the probability that a randomly
selected score is greater than 590?
2. A student who scored 750 is in the
percentile.
Answer:
Step-by-step explanation:
1. Use a calculator with distribution functions here. We're interested in finding the area under the standard normal curve to the right of 590, given that the mean is 510 and the standard deviation is 80. Note that 590 = 510 + 80, meaning that 590 is 1 standard deviation above the mean.
According to the Empirical Rule, 68% of data under a standard normal curve lies within 1 standard deviation of the mean. The area from the extreme left of this curve to x = 510 is 0.500, and the additional area under the curve from 510 to 590 is 34% of the total area, or 0.340.
Thus, the desired area is 0.500 + 0.340 = 0.840. This represents the desired probability.
2. What percentile is a score of 750? Find the number of standard deviations to the left of 750:
750 - 510
z-score = ------------------- = 24/8 = 3.00
80
The desired percentile is the area to the left of z = 3.00. Using a calculator, we find this area to be 0.9987. That 750 score is in the 99+ percentile.
There are ten candidates for a job. The search committee will choose three of them, and rank the chosen three from strongest to weakest. How many different outcomes are possible
Answer:
720
Step-by-step explanation:
Since we are choosing a subset of 3 people from a set of 10 people, and arranging the 3 people according to relative strength, the answer can be obtained by computing P(10,3).
P(10,3)=10! / (10-3)!
= 10!/7!
Rewrite 10 ! as
10 * 9 * 8 * 7 ! / 7!
Cancel the common factor of 7 ! and divide ( 10 * 9 * 8 ) by 1
10 * 9 * 8 = 720
Final answer:
To find the number of different outcomes possible when selecting and ranking three candidates out of ten, we calculate the permutations without repetition, using the formula 10! / (10 - 3)!, which yields 720 different outcomes.
Explanation:
The question asks for the number of different outcomes possible when a search committee must choose and rank three candidates out of ten for a job. This is a permutation problem because the order in which the candidates are ranked matters.
To calculate the number of different outcomes, we use the formula for permutations without repetition, which is n! / (n - r)!, where 'n' is the total number of items to choose from (in this case, the number of candidates) and 'r' is the number of items to choose and arrange (in this case, the number of candidates to be ranked). So, the number of different outcomes for selecting and ranking three candidates from ten is calculated as follows:
10! / (10 - 3)! = 10! / 7! = 10 × 9 × 8 = 720
Thus, there are 720 different outcomes possible when the search committee chooses and ranks three candidates out of ten.
A given set of values is found to be a normal distribution with a mean of 140 and a standard deviation of 18.0. Find the value that separates the bottom 45% of the data from the top 55%
148.1
142.3
149.9
137.8
Answer:
137.8
Step-by-step explanation:
X score for value that is greater than 45% of the data values= 156.78.
What is Standard Deviation?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
Given:
Mean= 140
Standard Deviation = 18
Now, using z- score
z= (x- B)/ A
So, Z score for value above 45 % of data set = 0.9987 - 0.0668=0.9319
0.9319 = ( x - 140)/ 18
x= 16.7742 + 140
x= 176. 4472
Hence, X score for value that is greater than 45% of the data values is 156.78.
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Roberto decorates rectangular signs. One sign is 2/3 foot long and 1/4 foot wide. Another sign is 1/2 ft long and 1/3 foot wide. It takes Roberto 3/4 hour to decorate a 1-square-foot sign. both signs square foot sign. What is the total amount of time in hours it takes Roberto to decorate both signs? Show or explain each step to find your answer.
To find the total time to decorate both signs, calculate the area of each sign, determine the time needed for each sign, and add the times together.
Explanation:To find the total time for decorating both signs:
Calculate the area of each sign by multiplying length and width.Determine the time to decorate each sign based on the area.Add the times together to get the total time.Gordon, Caroline & Malachy share some money in the ratio
3:34.
In total, Gordon and Malachy receive £77.
How much does Caroline get? -
Answer:
£33
Step-by-step explanation:
The share ratio is 3 :3:4
So the rational division is 3 + 3 + 4 = 10
Gordon and Malachy share is £77,
[tex] calculting \: total \: amt \: shared \\ \frac{3}{10} + \frac{4}{10} = 77 \\ \frac{3 + 4}{10} = 77 \\ \frac{7}{10} = 77 \\ total \: amt \: = \frac{77 \times 10}{7} = 110[/tex]
Carol's share =
[tex] \frac{3}{10} \times 110 = 33[/tex]
=£33
Final answer:
Gordon and Malachy's combined share corresponds to 7 parts of the ratio. One part is worth £11, and since Caroline's share is 3 parts of the ratio, she receives £33 in total.
Explanation:
The question involves dividing a sum of money according to a given ratio. Since Gordon and Malachy together receive £77, we need to first find out the ratio representing the sum of their parts and then calculate Caroline’s share.
Given the ratio of Gordon, Caroline, and Malachy’s share as 3:3:4, we can see that Gordon and Malachy’s ratio adds up to 3 + 4 = 7 parts. To find the value of one part, we divide the total amount they have (£77) by 7.
£77 divided by 7 parts equals £11 per part. Since Caroline’s share is 3 parts in the ratio, Caroline receives 3 parts times £11 per part, which equals £33. Therefore, Caroline gets £33.
How many solutions does the system of equations have?
0
1
3
4
A rod equals 5 and one half
yards. If a bridge is 770 yards long, how long is it in rods?
write a quadratic function in standard form whose graph has a vertex at (7,-3)
Answer:
y = x² -14x +46
Step-by-step explanation:
You want a standard form quadratic equation that has a vertex at (7, -3).
Vertex formThe vertex form of a quadratic equation is ...
y = a(x -h)² +k . . . . . . . vertex at (h, k), scale factor 'a'
Using a scale factor of 1 and vertex (h, k) = (7, -3), this equation is ...
y = (x -7)² -3
Standard formSimplifying this equation gives ...
y = x² -14x +49 -3
y = x² -14x +46 . . . . . . . standard form equation
In a circle, if a diameter bisects a chord (that is not a diameter), then:
The chord and the diameter are perpendicular.
Suppose that chord AB is bisected by a diameter, which interserct the chord at point C.
Now, focus on triangles OAC and OBC. They have:
OA = OB because they are both radiiOC in commonAC=BC because the diameter bisects the chordSo, they are congruent. In particular, this means that angles ACO and BCO are equal. Since they sum up to 180, each of them must be 90°, so the diameter is perpendicular to the chord.
In a circle, if a diameter bisects a chord (that is not a diameter), then it must also be the perpendicular bisector of that chord.
What is a perpendicular bisector?A perpendicular bisector is defined as a line that divides an angle into two equal angles. Draw the given angle first, then cut it in half, and then draw the angle's bisector.
If a diameter bisects a chord in a circle, then it must also be the perpendicular bisector of that chord. This is because the diameter is the longest possible chord in the circle, and it passes through the center of the circle, which is the point of concurrency for all the perpendicular bisectors of chords in the circle.
Therefore, it must also be the perpendicular bisector of that chord when the diameter bisects a chord.
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Consider this equation:
-2x - 4 + 5x = 8
Generate a plan to solve for the variable. Describe the
steps that will be used.
Can anybody help me please!!
Answer:
I believe it is c
Step-by-step explanation:
Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet and 4 feet. He decides he wants to make a triangular garden in the yard and uses the triangle inequality rule to see if it will work. Which sums prove that the boards will create a triangular outline for the garden? Select all that apply. 5 + 2.5 > 4 5 + 2.5 < 4 4 + 2.5 > 5 4 + 2.5 < 5 4 + 5 > 2.5
Answer:
1)5 + 2.5 > 4
3)4 + 2.5 > 5
5)4 + 5 > 2.5
Step-by-step explanation:
I got this question in edge
The triangular inequality for these dimensions are:
5ft + 2.5ft > 4ft (true)5ft + 4ft > 2.5 ft (true)2.5ft + 4ft > 5ft (true)Which sums prove that the boards will create a triangular outline?
For a triangle with sides A, B, and C, the triangular inequality says that:
A + B > CA + C > BB + C > AIn this case, we know that the pieces of wood measure:
5ft
2.5ft
4ft
The triangular inequality for these dimensions is:
5ft + 2.5ft > 4ft (true)5ft + 4ft > 2.5 ft (true)2.5ft + 4ft > 5ft (true)So the 3 inequalities are true, meaning that we can make a triangle with these dimensions.
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Pls help will mark as brainliest
Answer:
A
Step-by-step explanation:
Answer:
6x + 12x + 90 = 180
Step-by-step explanation:
Well 6x plus 12x must equal 90 degrees. 6x plus 12x plus 90 has to equal 180.
Therefore, 6x + 12x + 90 = 180
Because then, if you subtract 90 from both sides, you have that 6x + 12x = 90.
I will give who ever answers this brainliest but it has to be right
Answer:
10 -
c = 5.1
a = 3.1
11 -
Step-by-step explanation:
10 -
3.7 / 3 = 1.2333 You need this to find how much greater the left side is.
c = 4.1 x 1.2333
a = 2.5 x 1.2333
11 -
y=15
z=
(If two triangles are next to each other with a straight line and one is a right angle, so is the other triangle)
Since they are both right angles, they are 3,4,5 triangles.
The 12 would count as the four since is divides by 4
The y would equal 15 because it is the longest side meaning it has to be the 5. Since we had to divide the 12 by 3 to get the four, we have to multiply the 5 by 3 to get 15.
Now to find z, you will make the equation 15/12=z/5
Δ ABC -Δ EDC
What is the value of x?
Answer:
x=11
Step-by-step explanation:
Since the triangles are similar, we can use ratios to solve
36 6x-6
------------- = --------------
24 3x+7
Using cross products
36(3x+7) = 24(6x-6)
108x +252 = 144x - 144
Subtract 108x from each side
108x-108x +252 = 144x-108x - 144
252 =36x -144
Add 144 to each side
252+144 = 36x-144+144
396 =36x
Divide by 36
396/36 =36x/36
11 =x
Answer:
x = 11
Step-by-step explanation:
Similar figures have sides in the same ratio
24/36 = (3x + 7)/(6x - 6)
2/3 = (3x + 7)/(6x - 6)
12x - 12 = 9x + 21
3x = 33
x = 11
Please help!!
A weight is attached to a spring that is oscillating up and down. It takes 2 seconds for the spring to complete one cycle, and the distance from the highest to the lowest point is 5 in. What equation models the position of the weight at time t seconds?
Answer:
[tex] y=2.5 \sin(\pi t)[/tex]
Step-by-step explanation:
Time period $T$ is 2 sec.
$T=\frac{2\pi}{\omega}$
$\therefore 2=\frac{2\pi}{\omega}$
$\therefore \omega=\pi$
The amplitude is half the distance between highest and lowest points.
Thus, amplitude $A= 2.5$
The equation to the SHM is:
$y=A \sin (\omega t)$
Or,
$\boxed{y=2.5 \sin (\pi t)}$
The equation that models the position of the weight at time t seconds is y = 2.5 sin(πt).
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given that;
Time taken to complete one cycle= 2sec
Distance from lowest to highest point= 5in
Now,
The position of the weight attached to a spring that is oscillating up and down can be modeled by a sinusoidal function of time. Specifically, the equation for the position (in inches) of the weight as a function of time (in seconds) can be written in the form:
y = A sin(ωt + φ) + k
where:
A is the amplitude of the oscillation, which is half the distance between the highest and lowest point. In this case, A = 5/2 = 2.5 in.
ω is the angular frequency of the oscillation, which is related to the period T (the time for one complete cycle) by the formula ω = 2π/T. In this case, T = 2 sec, so ω = 2π/2 = π rad/sec.
φ is the phase shift of the oscillation, which determines the starting position of the weight. Since no specific starting position is given in the problem, we can assume that the weight starts at the highest point, which corresponds to a phase shift of φ = 0.
In this case, k = (5 + (-5))/2 = 0.
Putting all of these values into the equation, we get:
y = 2.5 sin(πt + 0) + 0
Simplifying, we get the final equation for the position of the weight at time t seconds:
y = 2.5 sin(πt)
Therefore, by the equations the answer will be y = 2.5 sin(πt).
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Suppose 41,642 people moved. About how many of those people moved for family-related reasons?
Answer:
From 2012 to 2013 30% of people move for family based reasons so about 12492.6 give or take based on small variation
Step-by-step explanation:
divide 41,642 by 30%
(Day 11) Find the area of each shaded region. Round your answer to the
nearest tenths.
120° X
6 cm
cm sq.
8 cm
cm sq.
Pls Help me
Answer: for the first one the answer is 18.2 cm sq
For the second one the answer is 40.9 cm sq
Step-by-step explanation: the step by step explanation is on the picture
Which system of linear inequalities is represented by the
graph?
y > 1/3X + 3 and 3x - y> 2
y > 1/2x + 3 and 3x – y> 2
y > 1/3x +3 and 3x + y> 2
y > 1/3x + 3 and 2x – y > 2
WILL GIVE BRAINLIEST IF CORRECT
Answer:
y>1/3x+3 and 3x-y>2
How would I answer this?
Answer:
C = 145.4°
By creating a system of equations (2 equations) with the information from a problem, we can substitute and solve for the missing variables.
Step-by-step explanation:
Linear pairs are found on a straight line, so they total to 180°.
C + D = 180 ......eq'n [1]
C is seven more than four times D can be represented with this equation:
C = 4D + 7 ........eq'n [2]
We can solve by substituting [2] into [1], replacing "C".
C + D = 180
4D + 7 + D = 180
Collect like terms
5D + 7 = 180
Subtract 7 from both sides
5D = 173
Divide both sides by 5
D = 173/5
As a decimal, D = 34.6°.
Using eq'n [2], find C. Substitute the value of "D". Solve.
C = 4D + 7
C = 4(173/5) + 7
C = (692/5) + 7
C = (692/5) + (35/5) Find a common denominator.
C = (692+35)/5 Combine into numerator.
C = 727/5
As a decimal, C = 145.4°.
What is 3.5% of 11? Round to the nearest hundredth (if necessary).
Answer:0.385
Step-by-step explanation:(3.5*100)*11
(3.5*11)*100
38.5*100 = 0.385
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?
–58 Db
–50 Db
9 Db
50 Db
Answer:
50 Db
Step-by-step explanation:
we know that
The loudness in decibels is given by the formula
[tex]L = 10log(\frac{I}{I_0})[/tex]
where
I = sound intensity in watts per square meter (Watts/m^2)
I₀ = reference intensity, = 10^(-12) Watts/m^2
so
For I=10^(-7) Watts/m^2
substitute in the formula above and solve for L
[tex]L = 10log(\frac{10^{-7} }{10^{-12}})[/tex]
[tex]L = 10log(10^{5})[/tex]
[tex]L = 10 (5)=50\ Db[/tex]
Answer:
D. 50 Db on ed
i took the test and i got it right
Given vectors ū = -97 + 8) and 3 = 77 +57, find 2ū - 67 in terms of unit vectors and 7.
a. -607 - 147
c. -577-617
b. - 191-617
d. -137-617
The closest answer choice is (c) -577-617, with a 30-word summary: The expression 2ū - 6v - 67, with ū = <-97, 8> and v = <77, 57>, simplifies to -723i - 393j, matching option (c).
To find 2ū - 6v in terms of unit vectors, we first need to compute 2ū and 6v, and then subtract 6v from 2ū.
Given vectors ū = <-97, 8> and v = <77, 57>, we can find 2ū and 6v as follows:
1. 2ū = 2<-97, 8> = <-194, 16>
2. 6v = 6<77, 57> = <462, 342>
Now, subtracting 6v from 2ū:
2ū - 6v = <-194, 16> - <462, 342> = <-194 - 462, 16 - 342> = <-656, -326>
Now, we need to express this result in terms of unit vectors. The unit vectors in the x and y directions are <1, 0> and <0, 1> respectively.
The final expression is then -656<1, 0> - 326<0, 1>, which simplifies to -656i - 326j, where i and j are the unit vectors in the x and y directions, respectively.
In summary, 2ū - 6v in terms of unit vectors is -656i - 326j.
Now, if we subtract 67 from each component, we get -656 - 67 in the x-direction and -326 - 67 in the y-direction:
-656 - 67 = -723
-326 - 67 = -393
So, the final result is -723i - 393j.
The closest answer choice is (c) -577-617, with a 30-word summary: The expression 2ū - 6v - 67, with ū = <-97, 8> and v = <77, 57>, simplifies to -723i - 393j, matching option (c).
2u - 6v in terms of unit vectors i and j is equal to -24i - 14j.
To find 2u - 6v in terms of unit vectors i and j using the given vectors ū = 9i + 8j and v = 7i + 5j, we perform the following calculations:
1. Multiply vector u by 2:
2u = 2(9i + 8j) = 18i + 16j
2. Multiply vector v by 6:
6v = 6(7i + 5j) = 42i + 30j
3. Subtract 6v from 2u:
2u - 6v = (18i + 16j) - (42i + 30j)
= 18i + 16j - 42i - 30j
= (18i - 42i) + (16j - 30j)
= -24i - 14j
Therefore, 2u - 6v in terms of unit vectors i and j is equal to -24i - 14j.
The probable question maybe:
Given vectors ū = 9i + 8j and v = 7i +5j. find 2u - 6v in terms of unit vectors i and j.
What is the surface area of the rectangular prism?
Answer:
52
Step-by-step explanation:
You have to find the area of the all the sides which is L x H them add them.
Side(right) = 4 x 2 = 8
Side(left) = 4 x 2 = 8
Top = 4 x 3 = 12
Bottom = 4 x 3 = 12
Front = 3 x 2 = 6
Back = 3 x 2 = 6
= 52
Select all that are true for the graph that represents the function f(x) = 5(3)"
Answer:next time provide the options and the girl that answer the question is incorrect
Step-by-step explanation:
Use the following function rule to find f(1).
Answer:
f(1) = 11
Step-by-step explanation:
Given
f(x) = [tex](11)^{x}[/tex]
To evaluate f(1) substitute x = 1 into f(x)
f(1) = [tex](11)^{1}[/tex] = 11
The simplified solution of the function at f(1) = 11.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
The given function is,
f(x) = 11ˣ
In order to determine the value of f(1), we have to simply put x = 1 in the function,
f(1) = 11¹
As we know if the degree of any value is 1 than the solution of the expression is always the same as it was,
So,
f(1) = 11
Thus, the simplified solution of the function at f(1) = 11.
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Whats the answer to this?
which parallelogram will smallest area
b=6 cm,h=7cm
,b=7 cm,h=5 cm,
b=10 cm,h =4 cm
,or b=4 cm,h=9 cm
Answer:
when b=7 cm, h=5 cm, you get the smallest area
Step-by-step explanation:
Answer:
b=7 h=5 35
Step-by-step explanation:
6x7=42
7x5=35
10x4=40
4x9=36
35 is smaller than all the other options! :) hope this helped!