The examples where similar averages are associated with very different distributions include examination results for students, account management commission and the number of goals scored by teams.
What is average?It should be noted that average simply means the mean of a given set of numbers that are given in a data.
In this case, the examples where similar averages are associated with very different distributions include examination results for students, account management commission and the number of goals scored by teams
Let's use examination results to butress our point. A good average examination results mean that the students have a good understanding of what was covered in the subject.
Let's say the average pass mark for a subject is 50. In this situation, someone who scores 50 and above is believed to understand the subject and has a pass mark.
On the other hand, someone who scores 49.8 is considered to have failed the class even though the score is identical. This shows the case of variability and how similar average can mean different things.
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Point C is on line segment \overline{BD}
BD . Given CD=2CD=2 and BD=17,BD=17, determine the length \overline{BC}.
BC .
15
Step-by-step explanation:The segment addition postulate states that if AC is a line with point B, then AB + CD must equal AC.
Setting Up the Equation
Using the postulate above we can set up an equation that is set equal to BD.
BC + CD = BDNow, rewrite this using the information we are given in the question.
BC + 2 = 17Solving For BC
Now, we can solve this equation using the properties of equality.
BC + 2 = 17To solve you need to isolate BC. Do this by subtracting 2 from both sides.
BC = 15This gives us the answer, 15.
Solve 1 over 3 (2x - 8) = 4
Answer:
X=10
Step-by-step explanation:
1. 1/3 (2x-8)=4
2. 2x/3 - 8/3 = 4
3. 2x/3 = 4+2 2/3
2x/3 = 6 2/3
2x/3 = 20/3(Criss cross method)
6x = 60
x=10
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Emma has £37 in her bank account she starts putting £7 into her account each week write and solve an equation to find how many weeks it will take for emma to have £100 in her bank account r
Answer:
9 weeksStep-by-step explanation:
Emma has £37 in her bank account she starts putting £7 into her account each week write and solve an equation to find how many weeks it will take for emma to have £100 in her bank account r
(100 - 37) : 7 =
63 : 7 = 9
check
37 + 9 * 7 = 100
the answer is good
Match the correct corresponding parts. Make sure your letters are in the correct order!!
SAT~GRE
Answer:
Step-by-step explanation:
50 points!! Question 1) Are the corresponding angles in figures ABCD and WXYZ congruent? Yes or No? Question 2) Are the corresponding sides in figures ABCD and WXYZ proportional? Yes or No? Show work for question 2. Question 3) Are figures ABCD and WXYZ similar? Yes or no?
No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.
Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or a combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.
Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
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Answer:not congruent.
Step-by-step explanation:
Find the probability.
A cooler contains fifteen bottles of sports
drink: five lemon-lime flavored, five
orange flavored, and five fruit-punch
flavored. You randomly grab a bottle for
your coach, a bottle for your friend, and a
bottle for yourself. Your coach and your
friend get orange. You get a fruit-punch
Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 15 bottles.
5 are orange, hence the is a 5/15 = 1/3 probability that the coach gets orange, hence P(A) = 1/3.After the coach, there will be 14 bottles remaining, of which 4 are orange, hence the probability that the friend gets orange is of P(B) = 4/14 = 2/7.For you, there will be 13 bottles remaining, of which 5 will be of fruit-punch, hence the probability you get fruit-punch is of P(C) = 5/13.The probability of the three outcomes occurring is given by:
[tex]p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366[/tex]
0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.
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Solve for the variable:
-3-√5x² = 2
Answer:
No solution or Undefine
Step-by-step explanation:
Lamonte and Fwam own competing taxicab companies. Both cab companies charge a one-time pickup fee for every ride, as well as a charge for each mile traveled. The equation y=2.2x+2.5 represents what Lamonte's company charges. Fwam charges a $4 pickup fee and $2.80 per mile. Use the dropdown menu and answer-blank below to form a true statement.
The cab rate model for Fwam will be given as y=2.8x+4.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Here we have an equation model for Lamonte y=2.2x+2.5 here y is the total cost and x is the distance in miles.
So here Fwam charges a $4 pick up fee and $2.80 per mile. The equation model will be:-
y=2.8x+4.
Hence cab rate model for Fwam will be given as y=2.8x+4.
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find two numbers who's difference is 10 and 1/6 of whose sum is 11
Answer:
38 and 28
Step-by-step explanation:
let the 2 numbers be a and b
(a - b)= 10.................................................1
1/6(a + b) = 11
hence (a + b) = 66...................................2
adding 1 and 2
a -b + a + b = 10 + 66
2a=76
a = 38
b=28
find the perimeter and the area of the figure and round answers to the nearest tenth
Answer:
Perimeter = 55.1 ftArea = 236.6 ft²Step-by-step explanation:
Perimeter
2(4) + 2 x 3.14 x 7.58 + 15 x 3.148 + 47.155.1 ftArea
15 x 4 + 3.14 x (7.5)²60 + 3.14 x 56.2560 + 176.625236.6 ft²Hugo lives in the northwest corner of Greene County, Lena lives 29 miles away in the southeast corner, and the office where they work is directly between them. On Monday, Hugo took the bus into work, taking a direct route at 32 miles per hour. Lena left at the same time, taking her car along a direct route at a speed of 36 miles per hour. The two coworkers arrive at the office at the same time. How long did the commute take? If necessary, round your answer to the nearest minute.
Using the relation between velocity, distance and time, it is found that the commute took 48 minutes.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
For Lena, we have that d = 29, v = 36, hence the time in hours is given by:
[tex]t = \frac{d}{v} = \frac{29}{36} = 0.8056[/tex]
In minutes, the time is given by:
tM = 0.8056 x 60 = 48.
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pls help pls help pls help
Answer:
three four five
u welcome glam rock freddy
You toss a nickel a penny and a dime what is the probability that the nickel comes up heads
The penny can land two ways. The nickel can land two ways. The dime can land two ways. The quarter can land two ways. The total number of ways that all of them can land is (2x2x2x2)= 16 possibilities. Only ONE result shows no heads . . . TAIL-TAIL- TAIL-TAIL. All of the other 15 possibilities include at least one HEAD. So the probability is 15/16 = 93.25% .
30-32 sketch the region enclosed by the given curves and find its area.
31. [tex]y=\cos ^{2} x \sin x, \quad y=\sin x, \quad 0 \leqslant x \leqslant \pi[/tex]
Check the picture below.
so hmmm for the sake of completion, let's check where they intersect
[tex]cos^2(x)sin(x)=sin(x)\implies cos^2(x)sin(x)-sin(x)=0 \\\\\\ sin(x)[cos^2(x)-1]=0\implies \begin{cases} sin(x)=0\\ cos^2(x)-1=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ sin(x)=0\implies x=sin^{-1}(0)\implies \boxed{x=0} \\\\[-0.35em] ~\dotfill\\\\ cos^2(x)-1=0\implies cos^2(x)=1\implies cos(x)=\sqrt{1} \\\\\\ cos(x)=1\implies x=cos^{-1}(1)\implies \boxed{x=\pi}[/tex]
now, notice, in the picture the function that is "above" or the "ceiling" function is the sin(x), so we'll get the area under the curve by using "above" - "below" functions.
[tex]\stackrel{above}{sin(x)}~~ - ~~\stackrel{below}{cos^2(x)sin(x)} \implies sin(x)-[1-sin^2(x)]sin(x) \\\\\\ sin(x)-[sin(x)-sin^3(x)]\implies ~~\begin{matrix} sin(x)-sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ +sin^3(x)\implies sin^3(x)[/tex]
now let's use the triple angle identity of sine
[tex]\stackrel{\textit{triple angle identity}}{sin(3x)=3sin(x)-4sin^3(x)}\implies 4sin^3(x)=3sin(x)-sin(3x) \\\\\\ sin^3(x)=\cfrac{3sin(x)-sin(3x)}{4}\implies sin^3(x)=\cfrac{3}{4}sin(x)-\cfrac{1}{4}sin(3x) \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int\limits_{0}^{\pi }~sin^3(x)dx\implies \int\limits_{0}^{\pi }~\left[ \cfrac{3}{4}sin(x)-\cfrac{1}{4}sin(3x) \right]dx[/tex]
[tex]\displaystyle \cfrac{3}{4}\int\limits_{0}^{\pi }sin(x)dx-\cfrac{1}{4}\int\limits_{0}^{\pi }sin(3x)dx\implies \left. \cfrac{3}{4} \cdot -cos(x) \right]_{0}^{\pi }-\left. \cfrac{1}{4} \cdot \cfrac{-cos(3x)}{3} \right]_{0}^{\pi } \\\\\\ \cfrac{3}{2}~~ - ~~\cfrac{1}{6}\implies \implies \blacktriangleright \cfrac{4}{3} \blacktriangleleft[/tex]
How the
GCF
of Monomials helps to factor an expression?
How you would divide. 17.6 divided by 3.2? *
Anybody know this? Find the value of x in o A
let's recall that a circle has a total of 360°. Check the picture below.
What is h(-8) for h(x) = x²
2
-x² +7x?
Answer:
8
Step-by-step explanation:
Re-write the equation:
h(x) = x² * 2 - x² -7x
If X is equal to -8, then we can re-write the equation as:
h(-8) = (-8)² * 2 - (-8)² - 7(-8)
Following P.E.M.D.A.S. we must first solve for the exponents:
h(-8) = (64) * 2 - (64) - 7(-8)
Then we need to solve the multiplication.
h(-8) = (128) - (64) - (-56)
Now, we solve for the addition/subraction.
h(-8) = (128) - (120)
Lastly...
128 - 120 = 8
This means that if h(-8), then H = 8
I think?
In the set of scores: 14, 17, 10, 22, 19, 24, 8, 12, and 19, the Q2 is?
15
17
16
13
Answer:
17
Step 1: rerrange the data
8 , 10, 12, 14, 17, 19, 19, 22, 24
Q2 is the median
see that the middle number is 17
is (125xy)a binomial or trinomial or monomial or polynomial
Answer:
monomial
Step-by-step explanation:
it is correct
Select the correct answer.
Which graph shows a function and its inverse?
Answer:
Graph B
Step-by-step explanation:
Remember that for a function to have an inverse, the function must be 1-to-1. The two functions must also be symmetrical about the line y=x, which is apparent in the second graph.
Jane spent $27 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit.
Answer:
45%
Step-by-step explanation:
Divide 27/60, which gives you 0.45. Multiply that by 100, you get 45 percent.
Answer:
45%
Step-by-step explanation:
27/60
helppppp this is so confusing
Answer:
on the graph all u have to do is draw the line Have a great day and i hope this helps!
Step-by-step explanation:
Please help I will mark brainliest.
Answer: Can you take a more clear picture
Step-by-step explanation:
5.369 rounded to the whole number?
Answer:
5
Step-by-step explanation:
Find the number in the whole number place
5
and look one place to the right for the rounding digit on the right side of the decimal point
3
.Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
A line has a slope of 2. It passes through the points (1, 2) and (3, y) . What is the value of y?
Answer:
Step-byThe equation of the line with slope 2 is y=2x+b, b is a constant which should be determined. The line passes via through points (1, 2) and (3,y)
(1, 2): 2=2+b --> b=0
So, the equation of the line is y=2x. Now, when x=3, y=6. So the line y=2x passes through points (1, 2) and (3, 6). (3,y)=(3, 6).-step explanation:
Suppose that F(x) = x² and G(x) = -1/3 (x+4)^2. Which statement best compares the graph of G(x) with the graph of F(x)?
Answer: C
Step-by-step explanation:
The graph is shifted 4 units left as seen with (x+4) so x = -4.
The graph is reflected over the x axis as seen with -a
The graph is compressed vertically because the functions a value is less than f(x) = [tex]x^2[/tex]
Answer:
D
Step-by-step explanation:
Changes observed :
Coefficient of x² becomes 1/3 of original, this means it is vertically compressedAlso, the coefficient has become negative, meaning it is flipped over the x-axisx² is now (x + 4)², this means it has shifted 4 units to the left.The correct option is D.
Does anybody know this? I know what the radius is but when I calculated my answer doesn't match the options. Find the surface area of a sphere is the area of the great circle is 81pi in^2
[tex]\stackrel{\textit{area of the great circle}}{A=\pi r^2}\hspace{5em}81\pi =\pi r^2\implies \cfrac{81\pi }{\pi }=r^2\implies 81=r^2 \\\\\\ \sqrt{81}=r\implies 9=r \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{surface area of the sphere}}{SA=4\pi r^2}\hspace{5em}SA=4\pi (9)^2\implies SA=324\pi ~in^2[/tex]
The vector u has magnitude 6 and direction 330°. If vector v = =-u, then what is
the magnitude and direction of vector v? Write your direction in degrees in the
interval 0° 0 < 360°.
Here we go ~
It's been given that :
[tex]\qquad \sf \dashrightarrow \: \vec{v} = - \vec{u}[/tex]
And magnitude of vector u is 6 units and with a direction 330°
And we are asked to find the magnitude and direction of vector v ~
So, let's get stated ~
As we can observe, vector v and vector u have equal magnitude because they have equal sign between them.
that is :
[tex]\qquad \sf \dashrightarrow \: | \vec{v} | = | \vec{u}| [/tex]
[tex]\qquad \sf \dashrightarrow \: | \vec{v}| = 6 \: units[/tex]
And the negative sign in the equation shows that the two vector have opposite directions or you can say they are anti-paralllel.
So, we can just rotate vector u by 180° to get vector v ~
[tex]\qquad \sf \dashrightarrow \: \hat{n} = 330 \degree - 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \: \hat{n} = 150 \degree[/tex]
Conclusion :
vector v has magnitude of 6 units and direction 150°Ryan had a job during his summer vacation. He earned $7.25 per hour. He worked 15 hours a week for 6 weeks. How much money did Ryan earn?