The median would lie in the mean of the 15th and the 16th position.
What is median?The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does. It reflects the midway of the data since it is the point above and below which half (50%) of the observed data falls.
The mean (average), mode, and standard deviation are some other descriptive statistics that are frequently contrasted with the median.
Given, the total number of basketball players present (n) = 30
Total number of attempts made = 6
Since there are even number of players present, 30, the location of the median would be n/2 and n/2 + 1 positions.
For 30, the positions would be
= 30/2 and 30/2 + 1
= 15 and 16th position
Hence, the median would lie in the mean of the 15th and the 16th position.
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The function g(x) is a transformation of the cube root parent function,
f(x)=√. What function is g(x)?
-5
1
5
f(x)
g(x)
O
5
1
1
A. g(x)=√x +4-3
OB. g(x)=√x-3-4
C. g(x)=√x + 3-4
D. g(x)=√x-4-3
We have a translation 3 units downwards and 4 units to the right. So the equation is:
g(x) = ∛(x - 4) - 3
What is the equation for the function g(x)?
We know that g(x) is a transformation of the parent cube function, which is f(x) = ∛x
If we look at the image, we can see that the graph of g(x) is exactly like the graph of f(x), but translated 3 units downwards and 4 units to the right.
A vertical translation of N units is written as:
g(x) = f(x) + N
if N > 0, the translation is upwards.If N <0, the translation is downwards.A translation of 3 units downwards is written as:
g(x)= f(x) - 3
A horizontal translation of N units is written as:
g(x) = f(x + N)
if N > 0, the translation is to the left.If N <0, the translation is to the right.Then a translation of 4 units to the right is:
g(x) = f(x - 4) - 3
Replacing the function f(x) we get:
g(x) = ∛(x - 4) - 3
That is the transformed function. So the correct option is D
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does the poisson distribution have the "memoryless" property? if so, prove it. if not, give a counterexample.
The answer is Yes. The Poisson distribution have the "memoryless" property. Poisson process is a continuous-time stochastic process which counts the arrival of randomly occurring events.
The memoryless property states that the probability of an event occurring is independent of the time since the last event occurred. This property can be proven mathematically by showing that the conditional probability of the event occurring given that it has not occurred in the last 'n' occurrences is equal to unconditional probability of event.
And therefore, we can conclude that Poisson distribution has the memoryless property. This is because the probability of a Poisson random variable taking on a value greater than or equal to n+1 (i.e. it is greater than or equal to n) is equal to the unconditional probability of it taking on a value greater than or equal to n+1.
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a subtotal row must contain at least one ________ function.
To function effectively, a subtotal row must contain at least one aggregate function, which performs calculations on a group of values and produces a single, concise result that conveys the relevant information.
A subtotal row is an essential tool for data analysis in spreadsheets, allowing for easy organization and summarization of large datasets.
A subtotal row is a crucial element in organizing and analyzing data within spreadsheets, as it allows users to break down information into manageable sections. To achieve this, a subtotal row must contain at least one aggregate function. Aggregate functions perform calculations on a group of values, generating a single result that summarizes the data.
Examples of common aggregate functions include SUM, AVERAGE, COUNT, MIN, and MAX. These functions facilitate various mathematical operations, such as summing up values, finding the average, counting the number of instances, identifying the smallest value, and determining the largest value, respectively.
In practice, when creating a subtotal row in a spreadsheet, users typically sort the data by the desired category first. Then, they apply the appropriate aggregate function(s) to generate the desired summary statistics for each subset of data. This enables users to quickly gain insights into the data trends and make informed decisions based on the summarized information.
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What has been the best method for you to learn mathematics?
Answer: Here are some steps that help you learn and master math quickly:
Engage With the Subject.
Start From the Basics.
Develop Number Sense Rather Than Memorizing.
Have a Goal in Mind.
Answering Practice Questions Is Crucial.
Keep Track of Math Vocabulary.
Tricks and Tips to Learn Math Easily.
Master Problem Solving.
Step-by-step explanation:
A total of 250 people were surveyed about whether or not each person carries a cell phone. The results are shown below in the relative frequency table.
Answer:it is 180
Step-by-step explanation:
How do you graph the number 7 - 5i in the complex plane and find its absolute value?
The absolute value of 7 - 5i is sqrt(74). To graph the number 7 - 5i, we plot the point (7, -5). This point represents the complex number 7 - 5i.
The complex plane is a coordinate system with the real numbers on the horizontal axis and the imaginary numbers on the vertical axis.
The absolute value of a complex number is its distance from the origin. The absolute value of 7 - 5i can be found using the Pythagorean theorem. The real part of 7 - 5i is 7 and the imaginary part is -5. The distance formula gives us:
|7 - 5i| = sqrt(7^2 + (-5)^2) = sqrt(49 + 25) = sqrt(74)
Therefore, the absolute value of 7 - 5i is sqrt(74).
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anyone know the answer??
The measure of the indicated angle to the nearest degree can be found to be A. 51 degrees .
How to find the angle ?The cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right triangle .
In this case , the adjacent side is 17 and the hypotenuse is 27 . This means that the angle can be found to be :
Cos ( angle ) = Adjacent / Hypotenuse
Cos ( angle ) = 17 / 27
Angle = Cos ⁻ ¹ ( 17 / 27 )
Angle = 50. 98 degrees
Angle = 51 degrees
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For a fishing trip, Josh is going to choose lures to put in his tackle box. He has 7 lures that are spinner balls and 6 that are jigs. In how many ways can he choose 4 lures if 2 or fewer must be jigs
If 2 or fewer must be jigs, Josh can select 4 lures in 770 different ways.
To solve this problem, we can break it down into cases:
Case 1: Josh chooses 0 jigs
In this case, he needs to choose 4 spinner balls from the 7 available. The number of ways he can do this is:
C(7, 4) = 35
Case 2: Josh chooses 1 jig
In this case, he needs to choose 3 spinner balls from the 7 available and 1 jig from the 6 available. The number of ways he can do this is:
C(7, 3) × C(6, 1) = 210
Case 3: Josh chooses 2 jigs
In this case, he needs to choose 2 spinner balls from the 7 available and 2 jigs from the 6 available. The number of ways he can do this is:
C(7, 2) × C(6, 2) = 525
Therefore, the total number of ways Josh can choose 4 lures if 2 or fewer must be jigs is:
35 + 210 + 525 = 770
So, there are 770 ways for Josh to choose 4 lures if 2 or fewer must be jigs.
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A population of 45 foxes in a wildlife preserve doubles every 15 years the function y=45•2^x, where x is the number of 15 year periods. how many foxes will there be after 30 years?
The manager of a mechanical pencil company determined that 4 out of every
1,000 pencils developed are defective. If 2,500 pencils are developed, how
many pencils will be defective? Explain how you got your answer.
ANWSER QUICK
Answer:
10
Step-by-step explanation:
1
The temperature early in the morning is 17 °C. The temperature increases by 2 °C for every
hour for the next 5 hours. Write a function for the temperature in degrees Celsius.
Consider the function f(x) = (x - 2) ^ 2 + b and the function g(x) with vertex at (- 3, 3) , represented by the graph.
Enter a value for b so that the minimum of f(x) satisfies each given condition
The set b = -22, the minimum of f(x) will occur at x = -3, which satisfies the given condition. The value of b that satisfies the given condition, we need to first analyze the information given to us.
The function g(x) has a vertex at (-3, 3), which means that it is in the form g(x) = a(x + 3)^2 + 3, where a is a constant. We also know that the minimum of g(x) occurs at x = -3, which means that a > 0.
Now let's look at the function f(x) = (x - 2) ^ 2 + b. This is a quadratic function that opens upwards, which means that it has a minimum point. We want to find the value of b that makes the minimum of f(x) occur at x = -3, which is the same x-coordinate as the vertex of g(x).
The set f(-3) = g(-3), since they both have their minimum at x = -3.
f(-3) = (-3 - 2) ^ 2 + b = 25 + b
g(-3) = a(-3 + 3)^2 + 3 = 3
So we have 25 + b = 3, which means that b = -22.
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2.2 Mr Thorn is concerned about how much electricity he is using and how much he has to pay in electricity costs each month. To help him to keep track of his electricity consumption, the electricity department provided Mr Thorn with an excerpt from his log table, shown below: MR THORN'S WEEKLY ELECTRICITY CONSUMPTION LOG FOR ONE WEEK APPLIANCE AND ELECTRICAL RATING in Watts per Hour (1 000 W = 1 kW) Stove front small plate Oven bake element Geyser Kettle Refrigerator with freezer Lighting: single bulb (60 W) 1900 1 500 40 m AMOUNT OF TIME USED in hours (h) or minutes (m) MON TUE 2 000 24 h 550 24 h 2.2.1 30 m 1 400 5x3 m 3x3m 1,5 h 24 h 2.2.4 24 h WED THU 24 h 5x3 m 24 h 40 m 24 h 2x3 m 24 h FRI 20 m 24 h SAT 24 h 30 m 40 m 24 h SUN 24 h 1h 3x3m 6x3m 6x3m 24 h 24 h 60 6x5h 6x4,5 h 6x 1,5 h 6x5h 6x3,5h 6x7h 6x 12 h Total kWh used 4 6 336 92,4 13,9 Cost of electricity (94,5 c/kWh) R3,78 R5,69 [Source: Eskom Demand Side Management, Generation Communication GFS 0030 Revision 2, (May 2005).] Calculate the electrical rating of the small front plate of the stove in kilowatt (kW). Determine the total kWh Mr Thorn used when boiling his kettle for the week. R317,52 R13,10 2.2.2 Which appliance uses the most electricity? What could he do to reduce his consumption in this area? 2.2.3 Calculate the cost of electricity of the refrigerator with freezer. Give your answer in rands.
where the above conditions are given
2.2.1 The electrical rating of the small front plate of the stove is 1.9 kW.2.2.2 The geyser uses the most electricity, with a total of 336 kWh used for the week.2.2.3 The cost of electricity for the refrigerator with freezer is R13.13.2.2.4 Mr Thorn used 0.938 kWh when boiling his kettle for the week.
2.2.1 To calculate the electrical rating of the small front plate of the stove in kilowatt (kW), we need to divide the wattage by 1000:
1900 W / 1000 = 1.9 kW
From the log table, we can see that the geyser uses the most electricity, with a total of 336 kWh used for the week.
To reduce consumption in this area, Mr Thorn could consider using the geyser less frequently or reducing the temperature setting.
the cost of electricity of the refrigerator with freezer is;
total kWh x cost per kWh:
13.9 kWh x R0.945/kWh = R13.13
the total kWh Mr Thorn used when boiling his kettle for the week, we need to convert the time used in minutes to hours:
40 minutes = 40/60 hours = 0.67 hours
Calculating the total kWh:
1.4 kW x 0.67 hours = 0.938 kWh
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WILL GIVE BRAINLIEST
Linda Griffith is planning to buy rental property. She finds a home priced at
$92,000. What is the amount of Griffith's mortgage loan if a down payment
of 10% is required?
a$81,800
b$81,900
c$82,500
d$82,800
is it possible to have a c2 strictly convex function on a compact domain that is not also strongly convex?
Yes, it is possible to have a c2 strictly convex function on a compact domain that is not also strongly convex.
Let's have a look at the following details of it.
Definition of a Strictly Convex Function:A strictly convex function is a function whose Hessian matrix is positive-definite for all arguments. As a result, if f is differentiable and convex, it is strictly convex if and only if its Hessian matrix is positive-definite for all arguments.
The Definition of Strong Convexity: A function is said to be strongly convex if it meets the following criteria:
Let C be a convex subset of a Hilbert space H, and let f:C→ℝ be a continuously differentiable function. There is a positive constant μ such that, for all x,y∈C: f(y)≥f(x)+⟨∇f(x),y−x⟩+μ/2‖y−x‖2
Thus, it is clear from the above-mentioned definitions that it is possible to have a c2 strictly convex function on a compact domain that is not also strongly convex.
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If the diameter of a circle is 16 inches long, how long is the radius of the circle?
Answer:
8 inches
Step-by-step explanation:
The radius is 1/2 of the diameter.
r = 1/2 d
r = 1/2 ( 16 inches)
r = 8 inches
Answer:
the radius is 8"
Step-by-step explanation:
The radius of a circle is half the diameter of the circle.
In this case the diameter is 16" and therefore the radius is 8"
stannis wrote a test that was out of 972. he got 6% of the questions wrong. how many wrong answers did he get
Please help only these questions whoever answers them correctly gets marked brainliest
Answer:
Down Here ↓↓↓↓
Step-by-step explanation:
1. The sum of all angles in a triangle is 180°
75° + 60° + x° = 180°
135° + x° = 180°
x° = 55°
2. The sum of all angles in a triangle is 180°
70° + 70° + x° = 180°
140° + x° = 180°
x = 40°
3. The sum of all angles in a triangle is 180°
1 : 2: 5 = 1x:2x:5x
1x + 2x + 5x = 180°
8x = 180°
x = 22.5°
2x = 45°
5x = 112.5°
4. The sum of all angles in a triangle is 180°. The angle in a line is 180°
Missing angle is 180° - 123° = 57°
The sum of angles in a triangle is 180°
57* + x° + 90* = 180°
57° + x° = 90°
x = 33°
5. We know that the sum of angles in a triangle is 180°. We can subtract the values of the two other angles from 180* to find the missing angle.
-Chetan K
Help 15 points. For math
Answer:
y=x+8
Step-by-step explanation:
What is the value of x in the equation −3(10x − 12) + 15x = 54?
A. 18/7
B. −6/5
C. −22/5
D. −6/25
I NEED HELP ON THIS ASAP!!!!
The volume of an ice cream cone is the measure of how much ice
cream fits inside the cone. An ice cream cone company wants to
make an ice cream cone with a greater height that still holds the
same amount of ice cream.
Write an equation to calculate the volume of a cone.
Then rewrite the equation to solve for the height.
Explain how your equation determines a linear measurement when the original equation determined a cubic measurement
The volume of a cone is V = πr²h/3
The equation rewritten to solve for the height is V = πr²h/3
How to determine the equationIt is important to note that the formula for volume of a cone is expressed as;
V = πr²h/3
The parameters are;
V is the volume of the coneπ takes the constant value, 22/7 or 3. 142h is the height of the coneSince the ice cream fits inside the cone and the height still holds the ice cream, let's make the height subject of formula.
Let's take the following steps;
V = πr²h/3
cross multiply the equation, we get;
V × 3 = πr²h × 1
Multiply the values
3V = πr²h
To make the variable 'h' stand alone, let's divide both sides of the equation by its coefficient
3V/πr² = πr²h/πr²
Divide the values
c
Hence, the equation determines a linear measurement since the value 3 multiply the volume and not divides it.
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In regression analysis, an outlier is an observation whose
a. residual is much larger than the rest of the residual values b. mean is zero c. residual is zero d. mean is larger than the standard deviation
a. residual is much larger than the rest of the residual values.
In regression analysis, an outlier refers to an observation that significantly deviates from the expected pattern or trend of the data. Specifically, it is an observation whose residual (the difference between the observed value and the predicted value) is much larger than the residuals of the other observations.
Outliers can have a considerable impact on the regression model, affecting the estimated coefficients and overall model fit. It is important to identify and assess outliers to determine if they are influential or if they should be treated or removed to ensure the reliability and validity of the regression analysis.
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Graph the pre-image A(-1,0) B(1,5) C(3,0) (1 pt) Reflection it across the line x=2 (2pts) Graph and give the coordinates for the image (1 pt)
we have the following:
where the red figure is the pre-image and the green figure the image. The coordinates are:
\(\begin{gathered} A(1,0) \\ B(3,5) \\ C(5,0) \end{gathered}\)a diver was collecting water samples from a lake. he collected a sample at every 3m, starting at 5m below water surface. the final sample was collected at a depth of 35m.how many sample did he collected
The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.
We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.
The total depth range is:
35 m - 5 m = 30 m
The distance between each sample is 3 m, so the number of samples is:
(30 m) / (3 m/sample) + 1 = 10 + 1 = 11
Therefore, the diver collected a total of 11 water samples.
Given the system of equations, what is the solution?
2x+3y= 2
3x - 4y= 20
a. (4,-2)
b.(52,-34)
c.(-2,-2)
Answer:
The solution is A. (4, -2)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
The ratio of taxis to buses to bikes
is 12:5:18.
How many buses are there if there
are 72 bikes?
Answer:
20 buses
Step-by-step explanation:
Using the given ratio, we can see that for every 12 taxis, there are 5 buses and 18 bikes.
To get from 18 bikes to 72 bikes, we multiply by 4. Therefore, to figure out the number of buses, we multiply it by 4.
5 * 4 = 20
Hope this helps! :D
PLEASE HELP ME!!!!! I WILL GIVE BRAINLIEST WHOEVER ANSWERS CORRECTLY
can anyone help me with (a) please 50 points and brainliest
Answer:
8
Step-by-step explanation:
Two Pythagorean triples are (6, 8, 10) and (8, 15, 17)
Both of these right triangles share a common side, 8. While the hypotenuses are 10 and 17.
The other side must add up to 21, which 15 and 6 do.
htuhrjnkemldjrhftrfejdkws
Answer:
2z + 4 = 8
Z = 2
Step-by-step explanation:
2z + 4 = 8
-4. -4
2z = 8
—- —
2. 2
z. =. 4
Easy Peasy! Hope this helped :) have great day!!
Please Help 50 POINTS!!
Answer:
D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)
Step-by-step explanation:
hope this helps
Answer: D has the largest perimeter
Step-by-step explanation:
The top numbers of fractions describe the vertex and the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.
A.
P = 2(11) + 2(3)
P = 22+6
P=28
B.
P = 2(4) + 2(9)
p = 8 +18
P = 26
C.
P = 2(5) + 2(9)
P = 10 +18
P = 28
D.
P = 2(8) + 2(7)
P = 16 +14
P = 30