Answer:
16π in
Step-by-step explanation:
circumference formula is 2πr
so as the minute hand goes around with time it will travel 16π in or 50.27in
What measures of center and spread are best used if the data is symmetrical and asymmetrical? Explain your reasoning.
Answer:
If the data is symmetrical, then the mean is the best measure of central tendency to use, and the standard deviation is the best spread to use.
If the data is unsymmetrical, the median is the best measure of central tendency to use, and the inter-quarterly range is the best spread to use.
Step-by-step explanation:
An histogram for a symmetrical data will give a symmetrical shape, and the mean, median and mode will all be the same value. Therefore, the best measure of central tendency to use is the mean. The standard deviation shows how far away the values in a given data set are from the mean, and since the mean is used as the measure of central tendency in this case, the standard deviation should be used as the spread.
An histogram for a an asymmetric data set will give an asymmetric shape, and the mean is not always equal to the median. Therefore, the best measure of central tendency to use is the median. The inter-quarterly range shows the range of the middle 50% of a certain data, which is considered from the median value. Since the median is used as the measure of central tendency in this case, it is wise to use the inter-quarterly range as the measure of spread.
Answer:
i ama
Step-by-step explanation:
how do i simplify 81^5 = 3x
Step-by-step explanation:
81/5=3x
x=81×1/5×3
x=81/15
Describe a situation that can be represented by the expression –15 + 8.
Answer:
-7
Step-by-step explanation:
Tiger Woods was 15 under par after the third round of a golf tournament, but was 8 over par for the fourth round. So, his score for the entire tournament was -15 + 8 = -7 (That is, 7 under par).
simplify 13¹/3+2¹/3-10/2
The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.
Given
13¹/3+2¹/3-10/2
Required simplified it =?
First, we have simplified both constants separately
13¹/3 = (3 * 13 + 1) / 3 = 40/3
2¹/3 = (3 * 2 + 1) / 3 = 7/3
now the expression become = 40/3 + 7/3 - 10/2
now taking LCM of 3 and 2 which is 6.
= 80/6 + 14/6 - 30/6
now we have to simplify this fraction by dividing by 2 = 64/6
Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.
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find the value of h(-67) for the function below
h(x)=-49x-125
If the required reserve ratio is 15 percent, the simple deposit multiplier is:_____
a. 1.5.
b. 15.0.
c. 6.67.
d. 3.33.
Answer:
C. 6.67
Step-by-step explanation:
Given
Reserve Ratio (RR) = 15%
Required
Determine the simple deposit multiplier
Simple deposit multiplier (M) is calculated by taking the inverse of RR.
The following formula applies:
\(M = \frac{1}{RR}\)
Substitute 15% for RR
\(M = \frac{1}{15\%}\)
Convert 15% to decimal
\(M = \frac{1}{0.15}\)
\(M=6.67\)
Hence, option C answers the question
Find the derivative of the function and then evaluate at the given point y=2x^2-5x; (-1, 7)
The slope of the tangent line to the function \(y=2x^2-5x\) at the point (-1, 7) is -9.
As per the question given,
The derivative of a function represents its instantaneous rate of change or slope of the tangent line at any point on the function. To find the derivative of the given function, we can use the power rule, which states that the derivative of \(x^n\)is \(nx^{(n-1)}.\)
Applying the power rule to \(y=2x^2-5x\), we get:
\(y' = d/dx (2x^2-5x)= 4x - 5\)
Now we can evaluate this derivative at the given point (-1, 7) by plugging in x=-1:
\(y' = 4(-1) - 5= -9\)
Therefore, this means that if we were to draw a straight line tangent to the curve at that point, it would have a slope of -9. This information is useful for understanding the behavior of the function and its rate of change at that particular point.
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The prior probabilities for events
A1, A2, and A3
are
P(A1) = 0.20,
P(A2) = 0.30,
and
P(A3) = 0.50.
The conditional probabilities of event B given
A1,
A2,
and
A3
are
P(B | A1) = 0.50,
P(B | A2) = 0.30,
and
P(B | A3) = 0.40.
(Assume that
A1, A2, and A3
are mutually exclusive events whose union is the entire sample space.)
(a)
Compute
P(B ∩ A1), P(B ∩ A2), and P(B ∩ A3).
P(B ∩ A1)
=
P(B ∩ A2)
=
P(B ∩ A3)
=
(b)
Apply Bayes' theorem,
P(Ai | B) = P(Ai)P(B | Ai)
P(A1)P(B | A1) + P(A2)P(B | A2) + + P(An)P(B | An),
to compute the posterior probability
P(A2 | B).
(Round your answer to two decimal places.)
(c)
Use the tabular approach to applying Bayes' theorem to compute
P(A1 | B),
P(A2 | B),
and
P(A3 | B).
(Round your answers to two decimal places.)
Events P(Ai)
P(B | Ai)
P(Ai ∩ B)
P(Ai | B)
A1
0.20 0.50 A2
0.30 0.30 A3
0.50 0.40 1.00 1.00
(a) Through the conditional probability formula:\(P(B ∩ A) = P(B | A) P(A),\)
\(P(B / A1) P(A1) = 0.50 x 0.20 = 0.10A2 = 0.30 x 0.30 = 0.09A3= 0.40 x 0.50 = 0.20\)
(b)Bayes' theorem gives
\(P(A2 | B) = p(B | A2) p(A2) / [p(B | A1) P(A1) + p(B | A2) P(A2) + p(B | A3) p(A3)]= 0.26Thus, P(A2 | B) = 0.26.\)
(c)the tabular approach can show us
Events P(Ai) P(B | Ai) P(Ai ∩ B) P(Ai | B)
A1 0.2 0.5 0.1 0.167
A2 0.3 0.3 0.09 0.307
A3 0.5 0.4 0.2 0.526
Therefore,\(P(A1 | B) = 0.167, p(A2 | B) = 0.307, p(A3 | B) = 0.526.\)
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Select the correct answer.
Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14?
68% of the data points lie between 10 and 14.
68% of the data points lie between 8 and 12.
68% of the data points lie between 10 and 18.
68% of the data points lie between 10 and 16.
Answer:
68% of the data points lie between 10 and 18.
Step-by-step explanation:
one standard deviation to left of mean = 14 - 4 =10
one standard deviation to right of mean = 14 + 4 = 18
68% of data is in this region.
so the answer is 68% of the data points lie between 10 and 18.
A triangle is shown below
what is x?
Answer:
54
Step-by-step explanation:
46+80=126 and every triangle adds up to 180 so subtract 180 from 126 (180-126=54)
Hope this helped!
Answer:
c)54 degrees
Step-by-step explanation:
A triangle has to be 180 degrees.
46+80=126
180-126=54
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Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay. A. Linear increasing B. Linear decreasing C. Exponential growth D. Exponential decay
The graph in this problem is characterized as follows:
C. Exponential growth.
How to characterize the graph?First we must look at the format of the graph, which is a curve with an asymptote and not a line, meaning that it represents an exponential function.
Then we observe that the function is increasing, hence it represents an exponential growth function.
Missing InformationThe problem is given by the image presented at the end of the answer.
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SOMEONE PLEASE ANSWER. I'M CRYING AND DONT KNOW WHAT TO DO! I NEED YOUR HELP PLEASE!
A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one half gallon of water is needed, and for every 5 scoops of mix, one and one fourth gallons of water are needed. Part A: Find the constant of proportionality. Show every step of your work. Part B: Write an equation that represents the relationship. Show every step of your work. Part C: Describe how you would graph the relationship. Use complete sentences. Part D: How many gallons of water are needed for 12 scoops of drink mix?
Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.
What is the fundamental formula for a straight line?The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.
The point where the graph crosses the y-axis is called the y-intercept, or c.
Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x
OR
y₁/x₁ = y₂/x₂
In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,
1 1/4 gallons of water are required.
The proportional formula is written as y = k x.
Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.
1.25 gallon of water is required for 6 scoops.
This means that k = 2/0.5
k = 2/(1/2)
k = 2 x 2
k= 4
Equations describing the relationship can be expressed as y = 4x + c.
0.5 gallon of water is now required for 2 scoops.
2=4(1/2)+c
2=2+c
c=0
Therefore, the formula will be y = 4x.
The end includes a graph for y = 4x.
12 scoops of water:
12=4x
x=3 gallons of water is needed.
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Correct answer please
Answer:
50.75
Step-by-step explanation:
We have:
\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)
\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)
Calculate the perimeter of the figure
Answer:
hi
Step-by-step explanation:
perimeter means the length around some thing perimeter means the length around some thing so you must sum the 4 sides of the shape .\(3x - 2 + 2x - 2 + x + 6 + 4x = 10x + 2\)
1/24 plus 4/17 equals
Answer: 133/408 or 0.2769607843
Step-by-step explanation:
Solve: (x - 10)² + 10 = 100
Square Roots and Completing the Square.
Answer:
Below
Step-by-step explanation:
(x-10)^2 = 90 sqrt both sides
x-10 = ± sqrt (90)
x = 10 ± sqrt (90)
A sign in a bakery gives these options:
12 cupcakes for $29
24 cupcakes for $56
50 cupcakes for $129
a. Find each unit price to the nearest cent.
The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.
Define unitary methοd.Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.
Here,
We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:
Twelve cupcakes:
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> Unit cοst: $29 fοr 12 cupcakes.
=> $2.42 is the unit cοst per cupcake.
Tο make 24 cupcakes:
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> 24 cupcakes equals $56 fοr the unit.
=> $2.33 is the unit cοst per cupcake.
50 cupcakes =
Unit cοst is calculated as Tοtal Cοst / Cupcakes.
=> $129 fοr a unit οf 50 cupcakes.
=> Unit cοst: $2.58 fοr each cupcake
As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.
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a. Draw a geometric diagram of this scenario using two parallel lines and one
transversal. (Remember that a transversal is a line which cuts across
parallel lines.) Label the angles, parallel lines, and transversal as indicated
in the diagram above.
Answer:
See Attachment
Step-by-step explanation:
I have attached the geometric diagram of the scenario below.
Lines t and u are the two parallel linesLine v is the transversal line.The angles which t makes with v are 1 and a respectively.The angles which u makes with v are b and 2 respectively.parallel lines = lines t and u, transversal line = line v, the angles which t makes with v are 1 and a, the angles which u makes with v are b and 2.
Are the following lines parallel, perpendicular, or neither? Explain. 3x+2y=7 and 4x-6y=-8
Given the lines:
\(\begin{gathered} 3x+2y=7 \\ 4x-6y=-8 \end{gathered}\)We express them in slope-intercept form:
\(\begin{gathered} 3x+2y=7\Rightarrow2y=7-3x\Rightarrow y=-\frac{3}{2}x+\frac{7}{2} \\ \\ 4x-6y=-8\Rightarrow6y=4x+8\Rightarrow y=\frac{2}{3}x+\frac{4}{3} \end{gathered}\)The slopes of these lines are:
\(\begin{gathered} m_1=-\frac{3}{2} \\ m_2=\frac{2}{3} \end{gathered}\)Then:
\(m_1\cdot m_2=-1\)This is the condition for perpendicular lines, so the lines are perpendicular.
On June 22nd, 2010, the S&P 500 was down 17.89 points to close at 1095.31.
3.
What was the value of the S&P
500 before the open on June
22nd, 2010?
4.
By how many percent change points was the S&P 500 down on June 22, 2010
round the answer to the nearest hundredth of a percent?
The value of the S & P 500 before the open on June 22nd, 2010 is 1,113.20 points.
The percent change points is -1.61%/
What is the percent change?The value of the S & P 500 before the open would be higher than the value at the close of June 22nd, 2010. This was because the index declined over the day.
Value before the open of June 22nd, 2010 = value at the close + change
17.89 + 1095.31 = 1,113.20 points
Percentage change = (change in points / points before open) x 100
(-17.89 /1,113.20) x 100 = -1.61%
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need some help on this
Answer:
G
Step-by-step explanation:
From the box plots given, the options that seem very much on support of the information given in the box plot is option G.
Median number in a box plot is the number at the point where the vertical line divides the box.
The median for Thin Crust is about 55 while the median for Thick Crust is above 55.
Therefore we can conclude that:
"The median number of orders for thick crust pizzas is larger than the median median number of orders for thin crust".
New York is 5 hours behind London. It is 15:55 in London,
what time is it in New York using the 24 hour clock?
Answer:
10:55
Step-by-step explanation:
15:55 - 5 = 10:55
4 6 6
x 2 7
_____
12865
Answer:
I believe it is 3262
Step-by-step explanation:
the width of a rectangle is 15 cm less than the length. the perimeter is 98 cm. Find the rectangles dimensions
Answer:
Half of perimeter (or L+ W) is:
98/2= 49 (cm)
L- W= 15
L+ W= 49
L= (49+ 15)/2= 32
W= (49-15)/2= 17
The length is 32 cm and the width is 17 cm~
Step-by-step explanation:
Mirall ran
of the way around a track
How far did Mirall run?
o mi
03 mi
o 4 mi
O 6 mi
Answer:
A omo
because she ran off the way around the track
1) Is the price the school pays each year in trip fees proportional to the number of students that attend the trip? (You may create a table to help.)
Yes
2) Explain why or why not?
Yes the price every year are proportional to each other because for every value i got the number 15. I divided 1,260 by 84 and I got 15. I divided
1,050 by 70 and also i got 15. I finally divided 1,395 by 93 and i also got 15. So, this is my explantion on why all 3 valuses are proportinal to each
other.
I
3) What is the constant of proportionality?
$15 per student
4) What does it mean in the context of this problem?
A laptop has a listed price of $759.98 before tax. If the sales tax rate is 8.75%, find the total cost of the laptop with sales tax Included.
Round your answer to the nearest cent, as necessary.
Answer:
825.39
Step-by-step explanation:
$759.98 * 1.0875 = 825.39
Answer:
826.5
Step-by-step explanation:
759.98 x 8.75%
759.98 x 8.75/100
66.49825 + 759.98
=826.47825
=826.5
Use the table below to answer the following questions.
Notebooks Cost
3
4
(Dollars)
$1.65
$2.20
$2.75
$3.30
5.
6
Tunisha is interested in the weather. Every day she records data on the weather, including humidity. Why is the humidity an important piece of information for determining weather?
It's an important part of weather reports because it indicates the likelihood of precipitation, dew, or fog.
Answer:
its important because is part of the weather changes and climate temperatures
i cannot figure this out for the life of me. any help?
Find f(3) for the
piece-wise function.
f(x) =
x+1
X
if x > 0
if x ≤ 0
f(3) = [?]
Answer:
f(3) = 3 + 1 = 4
Step-by-step explanation:
Since 3 > 0, we need to focus on the part of the function where x > 0. So:
f(3) = 3 + 1 = 4.