Consider the given density curve.
A graph goes from (0, 0) to (5, one-half).
Suppose that the mean value is 3.67. What is the best approximation for the median?
3.2
3.4
3.6
3.8
Picture posted below
Answers
The best approximation for the median is 3.6.
An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).
For the given density curve, the area under the density curve is
A=(1/2)×5×(1/2)=5/4
now, for the median, the area on the left and the area on the right of the median.
Let the median be x, then
The area criteria we get
(1/2)x(x/10)=(5/4)/2
⇒x²=5*20/4=25/2
So, we get x=5/([tex]\sqrt2[/tex])=3.5 ≈ 3.6
Hence the required answer is option 3.6
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Related Questions
Question 19 of 40
Which of the following is the correct definition of an angle?
OA. A shape formed by two intersecting lines or rays
B. A shape formed by the intersection of two lines
C. A shape formed by two intersecting rays
D. A shape formed by two intersecting lines from a common point
Answers
The correct definition of an angle is D: A shape formed by two intersecting lines from a common point.
What is a line segment?A line segment is extended infinitely in both directions whereas a 'ray' is a line segment that has one endpoint and extends infinitely in the other direction.
Now, an 'angle' is formed by two rays having a common end-point.
As the angle has a common endpoint,
Therefore it is not possible to form an angle by intersecting two rays having different endpoints.
Hence, option D is correct.
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Look at the tree shown in the diagram. What is the bight of the tree rounded to the nearest tenth foot?
Answers
Answer:
Correct answer is B, 69.3 feet
Step-by-step explanation:
Since we have a 30°-60°-90° right triangle, the length of the longer leg is √3 times the length of the shorter leg, so the length of the shorter leg is 1/√3, or √3/3 times the length of the longer leg.
[tex]120( \frac{ \sqrt{3} }{3}) = 40 \sqrt{3} = 69.3[/tex]
Solve the right triangle, AABC, for the missing sides and angle to
the nearest tenth given angle B = 27° and side c = 15.
Answers
Answer:
please see photo for detailed analysis.
John invested $4,500 at 5.5% annual simple interest. His maturity value of his investment was $5,545. How long did John invest the money? Round to the hundredth.
Answers
John invested the money at simple interest for 4.22 years.
We have,
Invested amount = $ 4500
Rate of interest = 5.5 %
Time = t years
Maturity value = $ 5545
So,
Total interest earned = $ 5545 - $ 4500 = $ 1045
And,
Simple interest = (Principal × Rate × Time ) / 100
So, Using the mentioned formula,
1045 = ( 4500 × 5.5 × t ) /100
1045 = 45 × 5.5 × t
⇒
t = (1045) / (45 × 5.5)
⇒ t = 4.22 years
Therefore, John invested the money at simple interest for 4.22 years.
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(2-z)/z=((2-z)( ? ))/(z^2+z)
what is this? please
Answers
Answer:
The answer for "?" is z+1.
Step-by-step explanation: In order to solve this I recommend comparing the two equations and expanding them as much as possible, like so.
[tex](\frac{2-z}{z} =\frac{(2-z)(?)}{z^2+z} )=(\frac{2-z}{z} =\frac{(2-z)(?)}{z(z+1)} )[/tex]
Once you have the equations expanded to their maximum you can see what was added to the right side of the equation and what you need to add to the numerator in this case to make the two equations equal.
[tex](\frac{2-z}{z} =\frac{(2-z)(z+1)}{z(z+1)} )[/tex]
*Note: You can also check the solution by plugging in a number for z and checking to see that both side equal. For example if z = 3.
[tex]\\\frac{2-3}{3} =-\frac{1}{3} \\\frac{(2-3)(3+1)}{3^2+3} =-\frac{1}{3}[/tex]
So, z+1 is the answer.
Please help!
Julie wants to show that a quadrilateral with vertices J(2, 3), K(2,7), L(-2,7), M(-2,3) is a square. Using the distance formula, what should she find the length of each side to be?
8
4
3
2
Answers
Answer:
4 is the answer
Answer:
4 is the answer I believe
Which of the following is equivalent to the expression, i^39?
O A. -1
OB. 1
O C. -i
O D. i
Answers
graph the line through (1,1) with slope 3/2
Answers
Answer:
y = (3/2)x - (1/2)
Step-by-step explanation:
The general structure of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. You have been given the value of "m" (3/2). To find the value of "b", you should plug "m" into the equation in addition to the "x" and "y" values from the given point (1,1)
(1,1) ----> x = 1, y = 1
m = 3/2
y = mx + b <----- Slope-intercept form
y = (3/2)x + b <----- Plug (3/2) into "m"
1 = (3/2)(1) + b <----- Plug values into "x" and "y" from point
1 = (3/2) + b <----- Multiply (3/2) and 1
(2/2) = (3/2) + b <----- Change 1 into common denominator
(-1/2) = b <----- Subtract (3/2) from both sides
Because you now have values for both variables, you can construct your final equation.
y = (3/2)x - (1/2)
Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C?
Answers
Answer:
[tex]\boxed{\bf \angle \: C = 62^{o} }[/tex]
Step-by-step explanation:
The sum of the opposite angle of cyclic quadrilateral is 180°.
First, lets find x...
[tex]\bf \angle \: B + \angle \: D = {180}^{o} [/tex][tex]\bf (x + 20) + 3x = {180}^{o} [/tex][tex]\bf 4x + 20 = 180[/tex][tex]\bf 4x = 180 - 20[/tex][tex]\boxed{\bf x = {40}^{o}} [/tex]Now, let's find the measure of angle C....
[tex]\bf \angle \: a + \angle \: C = {180}^{o} [/tex][tex]\bf 2x + 38 + \angle \: C = {180}^{o} [/tex][tex]\bf 2(40) + 38 + \angle \: C = {180}^{o} [/tex][tex]\bf \angle \: C = 180 - 80 - 38[/tex][tex]\boxed{\bf \angle \: C = {62}^{o}}[/tex]________________________
For which value(s) of xwill the rational expression below equal zero? Check
all that apply.
(x - 3)(x + 6)/x +7
A. -6
B. -7
C. 7
D. 3
E. 6
F. -3
Answers
Answer:
A. -6
D. 3
Step-by-step explanation:
Chico, California, hosts the annual Silver Dollar Fair.
In 2016, contestants competed in the Inaugural World Silver Dollar
Pancake Eating Championship, where they had 8 minutes to eat as
many one-ounce silver dollar pancakes as possible.
Answers
Answer: what is the question
Step-by-step explanation:
in a sale, the cost of a coat is reduced from 85 to 67.5
Answers
Answer:
I’m assuming you’re talking about what percentage was taken off, so in that case the answer would be approximately 20.6%
Step-by-step explanation:
67.5/85 X/100
cross multiply then divide by 100 to find for x and you get 79.4117
then, subtract this number from 100 and you will get 20.6%
What are the values for y when x is 1, 3, and 5?
y = 3x + 10
Answers
Answer:
13, 19, 25.
Step-by-step explanation:
y=3x+10
-------------
x=1, y=3(1)+10=3+10=13
x=3, y=3(3)+10=9+10=19
x=5, y=3(5)+10=15+10=25
How to solve this?? (-4)-(-8)+(-4)
Answers
- 4 - (- 8) + (- 4)
- 4 + 8 + (- 4 )
- 4 + 8 - 4
= 0
-4 + 8 - 4
4 - 4
=0
• 2 minus signs make a plus sign
Given 2 and 4 are vertical angles
prove 2 and 4.
Statements and reasons.
help
Answers
∠2 and ∠4 are vertical opposite angles and they are congruent.
How to prove vertical angles?Vertically opposite angles are congruent.
Therefore, let proof ∠2 and ∠4 are vertical angles
Hence,
m∠2 + m∠3 = 180
∠2 and ∠3 are linear pair.
m∠3 + m∠4 = 180
∠3 and ∠4 are linear pair.
∠2 and ∠4 are vertical angles
m∠2 + m∠3 = m∠3 + m∠4
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Answer: View picture below!
Step-by-step explanation: Just did it!
What is the formula for finding the area of abc?
Answers
The formula for finding the area of the triangle ΔABC will be half of the product of the base and height. Then the formula is A = 1/2 x BC x AD.
What is the area of the triangle?The area of the triangle is given as
A = 1/2 x B x H
Where B is the base and H is the height of the triangle.
The triangle is given below,
We have
B = BC
H = AD
Then we have
A = 1/2 x BC x AD
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solve for x -
[tex]\bold{x {}^{2} + 5x + 6 = 0}[/tex]
ty! ~
Answers
[tex] {x}^{2} + 5x + 6 = 0 \\ \\ {x}^{2} + 2x + 3x + 6 = 0 \\ \\ x(x + 2) + 3(x + 2) = 0 \\ \\ (x + 2)(x + 3) = 0 \\ \\ x + 2 = 0 \\ \\ x = - 2 \\ \\ x + 3 = 0 \\ \\ x = - 3.[/tex]
The value of x = -2 and -3 .
Answer:
hope it helps...
it has both co ordinate and factorization
y 2 +2y+1 Identify a= b= c= Factor m= Factor n= Factored Form :
Answers
Answer:
a = 1
b = 2
c = 1
Factored form: (y + 1)^2 or (y + 1)(y + 1)
Step-by-step explanation:
Express 5.5° as a fraction. .
Answers
Answer:
11/200
Step-by-step explanation:
Convert the percentage to a fraction by placing the expression over
100
Percentage means 'out of 100
5.5
100
Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there is
1
number to the right of the decimal point, move the decimal point
1
place to the right.
55
1000
Cancel the common factor of
55
and
1000
11/200
A patient takes 75mg of a medication every 12 hours; 60% of the medication in the blood is eliminated every 12 hours. (a) Let dn equal the amount of medication (in mg) in the bloodstream after n doses, where d1 = 75. Find a recurrence relation for dn.
Answers
The recurrence relation is dn = 0.4d(n-1) where d1 = 75
How to determine the recurrence relation?The given parameters are:
Initial, d1 = 75Rate of elimination, r = 60%Since, the medication is eliminated from the blood; then it means that the function is an exponential decay function.
This is represented as:
d(n) = d(n - 1) * (1 - r)
Substitute r = 60%
d(n) = d(n - 1) * (1 - 60%)
Evaluate the difference
d(n) = d(n - 1) * 0.4
Evaluate the product
dn = 0.4d(n-1)
Hence, the recurrence relation is dn = 0.4d(n-1) where d1 = 75
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1. The function j(x) is shown on the graph below.
Answers
Answer:
1) k = -3
2) B. The curve would be narrower, but the vertex would be in the same position.
Step-by-step explanation:
Transformations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]
[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]
Question 1
When a graph is shifted up or down we add or subtract the number of units it has shifted from the function.
From inspection of the graph, the vertex of function j(x) is (0, 2)
From inspection of the graph, the vertex of function j(x) + k is (0, -1)
Therefore, function j(x) has been translated 3 units down.
Therefore, the value of k is -3, since the function of the graph is j(x) -3
Question 2
When discussing the stretching of curves, it is usual to always refer to it as a "stretch" rather than a stretch or compression.
If the scale factor a is 0 < a < 1 then the graph gets wider.
If the scale factor a is a > 1 then the graph gets narrower (i.e. "compressed").
h(x) to h(2x) means that the function h(x) has been stretched horizontally by a factor of 1/2. The other way to say this is that is have been compressed horizontally by a factor of 2. In any case, as a > 1 the graph gets narrower.
Therefore, the vertex would stay in the same place but the curve would be narrower.
What is [3-8]-(12÷3+1)²
Answers
Answer:
-30
Step-by-step explanation:
What is [3-8]-(12÷3+1)²
[3-8]-(12÷3+1)² =
[3 - 8] - (4 + 1)² =
-5 - (5)² =
-5 - 25 =
-30
One third of all guitars that are sold in the shop is a Stratocaster, one fourth of them are Telecasters, and one fifth of them is a Les Paul. If Jamie goes and buys a guitar, what are the chances she gets a telecaster or a Les Paul?
A. 58%
B. 53%
C. 45%
D. 43%
Answers
The probability that Jamie buys a telecaster or a Less Paul is 45% or forty-five percent.
How to find out the probability?1. Find the individual probabilities:
Probabilities to buy a telecaster:
1/ 4 = 0.25Probabilities to buy a Les Paul:
1/ 5 = 0.22. Add the probabilities:
0.25 + 0.2 = 0.453. Multiply by 100:
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find the area of this shape
Answers
Answer:
Area of shape is 9.42 units²
Step-by-step explanation:
From the picture we observe:
1. The shape is 3 quarters of circle as one quarter is excluded (note the right angle);
2. The radius of the circle is 2 units.
Use area formula of circle to find the area of given shape:
A = πr², area of circleA = 3πr²/4 = 3*3.14*2²/4 = 9.42 units², area of shapeAnswer:
a = 4pi
Step-by-step explanation:
The formula of finding a area of a circle is "a = piR^2.
Replace the R with the radius which is 2 for this circle.
8.6 - 4 x 2 + 3/10 please i need this answer
Answers
Answer:
0.9
Step-by-step explanation:
The scale on a map says 1 inch = 25 miles. If two towns are 3 1/2
apart on the map, what actual distance separates them?
Answers
Answer:
87.5 miles
Step-by-step explanation:
Distance between points = 3 1/2 × 25 = 87.5 miles
The variables x and y vary directly. Use the given values to write an equation that relates x and y
Answers
The equation that relates x and y is y = (1/3)x if the variables x and y vary directly and x = 18, y = 6.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
The question is incomplete.
The complete question is:
The variables x and y vary directly. Use the given values to write an equation that relates x and y. x = 18 y = 6
From the question:
y ∝ x
y = kx ..(1)
k is the constant of proportionality after removing the proportional sign.
Plug x = 18 and y = 6
6 = 18k
k = 1/3
Plug the value of k in the equation (1)
y = (1/3)x
Thus, the equation that relates x and y is y = (1/3)x if the variables x and y vary directly and x = 18, y = 6.
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????????????????????
Answers
Answer:
[tex]\text{C.} \ \ \ {\left(\textit{AB}\right)}^{2} \ = \ \left(\textit{AC}\right)\left(\textit{AD}\right)[/tex]
Step-by-step explanation:
This problem uses the concept of the tangent-secant theorem which describes the relationship of the segments a secant line and a tangent line with the associated circle. This theorem is found as Proposition 36 in Book 3 of Euclid's Elements.
As shown in the figure attached below, segment AB (in blue) forms a tangent with the circle BCD and segment AD (in orange) is the secant where it intersects the circle at point C.
Furthermore, let two segments (in green) be drawn one from point C and point D.
To show that [tex]\triangle ABC[/tex] is similar to [tex]\triangle ADB[/tex], notice that both triangles share a common angle [tex]\angle BAC[/tex]. Additionally, by the alternate segment theorem, [tex]\angle ABC[/tex] is equal to [tex]\angle ADB[/tex]. Therefore, [tex]\angle ACB[/tex] is also equal to [tex]\angle ABD[/tex].
Hence, [tex]\triangle ABC[/tex] is indeed similar to [tex]\triangle ADB[/tex]. This implies the ratio of the sides of both triangles is the same. Particularly,
[tex]\displaystyle{\frac{AB}{AD} \ \ = \ \ \frac{AC}{AB}}[/tex].
Then, performing cross multiplication yields
[tex]{\left(AB\right)}^{2} \ \ = \ \ \left(AC\right)\left(AD\right)[/tex].
Therefore, the product of the lengths of the secant segment and its external segment is equal to the square of the length of the tangent segment.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex] \texttt{ \:The absolute maxima of f is f(-8) = 6} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Absolute maxima is the maximum possible value for a given x, of a function.
and here, the maximum value is at -8, and the maximum value is 6.
[tex]\qquad \tt \rightarrow \: maximum - \: \: f( - 8) = 6[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Suppose the equilibrium wage for unskilled workers in New Jersey is $16 per hour. How will the wages and employment of unskilled
workers in New Jersey change if the state legislature raises the minimum wage from $8.85 per hour to $15 per hour?
Wages of unskilled workers will increase/decrease/or not change?
Employment of unskilled workers will increase/decrease/or not change?
Answers
Answer:
it will increase the production
Step-by-step explanation:
