If the mean of a negatively skewed distribution is 64, which of these values
could be the median of the distribution?
OA. 64
B. 56
C. 68
O D. 60
APEX
The median value must be higher than the mean, which is 68 in this case, so option C is correct.
What is mean?Mean is a measurement of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."
Given:
The mean of a negatively skewed distribution is 64.
Calculate the median by hit and trial method,
When a distribution is negatively skewed, the distribution curve will not fall equally on either side of the median. The distribution curve will be shifted even more toward the bottom end. It will be so far below if the median value is only marginally below the median.
Therefore, the median value must be higher than the mean, which is 68 in this case.
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Please help me i need the steps on how to do this problem or just answer it points will be 10
Create an equation in intercept form that passes through the points (2,-3) and (3,-1)
Answer: y = 2x - 7
Step-by-step explanation:
Just remember, when in doubt use the formula y = mx + b
Good luck!
1) 7n3+ 5n2 + 5n+ 10
A) constant binomial
B) cubic polynomial with four terms
C) quartic trinomial
D) cubic monomial
Olivia read a book. She started on page 20, and each minute she read 3 pages. Let g(n) be the page Olivia was on at the beginning of the nth minute. g is a sequence. What kind of sequence is it?
A. Arithmetic sequence
B. Geometric sequence
The correct answer is A. Arithmetic sequence. The sequence g(n) represents the page Olivia was on at the beginning of the nth minute. Given that she started on page 20 and read 3 pages every minute, we can determine the nature of the sequence.
Since Olivia is reading 3 pages every minute, the difference between consecutive terms of the sequence will always be 3. This indicates that the sequence follows a constant pattern of adding 3 to the previous term.
Therefore, the sequence g(n) is an arithmetic sequence, as the terms are generated by adding a constant value (in this case, 3) to the previous term.
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You like math then here
Answer:
-8b + 9 - 5k
Step-by-step explanation:
I am assuming the blue highlighted portion is your answer, and is not a part of the initial question
(-4b + 15 - 7k) - (6 + 4b - 2k)
Combine like terms
-4b - + 4b
Negative + Positive = Negative
-4b - 4b = -8b
15 - 6 = 9
-7k - - 2k
Negative + Negative = Positive
-7k + 2k = -5k
Put them all together:
0b + 9 - 5k
Simplify
-8b + 9 - 5k
I got the same answer as you (just in a different order)
Which is the best estimate of the
solution for the system of linear
equations graphed below?
A.(0.5,2)
B. (1.5, 2)
C. (2,1.5)
D. (2.5, 1.5)
Answer:
B. (1.5, 2)
Step-by-step explanation:
Hope it helps!
Answer:
B
Step-by-step explanation:
The intersection of the two lines looks to be about (1.5 , 2)
the time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list, along with the five-number summary. 9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58
No, there is only one outlier at 58 minutes.
What are outliers in data?An observation that differs abnormally from other values in a population-based random sample is referred to as an outlier. In a way, this definition defers to the analyst's (or a consensus process') judgment as to what constitutes aberrant behavior. It is vital to define typical observations before distinguishing aberrant ones.
How do you calculate the outlier?A data point is considered an outlier if it is more than 1.5 times the IQR below the first quartile or more than 1.5 times the IQR above the third quartile, according to the general criterion for utilizing it to compute outliers. The first and third quartile percentiles must be known in order to compute the IQR.
Complete question -The time, in minutes, it took each of 11 students to complete a puzzle was recorded and is shown in the following list.
9, 17, 20, 21, 27, 29, 30, 31, 32, 35, 58
One of the students who completed the puzzle claimed that there were two outliers in the data set. Based on the 1.5×IQR rule for outliers, is there evidence to support the student's claim?
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What is the sum of the interior angles of the polygon shown below
Answer:
720 degrees.
Step-by-step explanation:
The sum of the interior angles of a convex polygon with n sides is
180(n - 2) degrees.
In this case, n = 6 sides, so the angle sum is
180(6 - 2) = 180(4) = 720 degrees.
The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides. Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).
What is the best estimate for this sum?
1/8 + 1/6
Responses
A. The sum will be close to 1/4.
B. The sum will be close to 1/2
C. The sum will be close to 1.
Answer: A
Step-by-step explanation:
I am a 2-dimensional shape with all my sides of equal length.
I have an angle sum of 180 degrees.
What am I?
Answer:
=> Equilateral Triangle
Step-by-step explanation:
Equilateral Triangle is having 2-d shape with all equal sides and the sum of angles of any triangle is 180° .
At which points are the functions y = f(x) and y = g(x) equal? What are the x-values of the solution?
The correct option regarding the solution to the system of equations is given as follows:
It is a solution to f(x) = g(x) because it is the x-coordinate where the two graphs intersect.
Hence the x-value of the solution is given as follows:
x = 3.
How to obtain the solution to the system of equations?We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.
The point of intersection in this problem has a x-coordinate of 3, hence the third option is the correct option.
Missing InformationThe complete problem is given as follows:
If x=3 is a solution to f(x)=x²-x and g(x)=2x, why is it also a solution to f(x) = g(x)
(1 point)
O It is a solution to f(x) = g(x) because it is the x-intercept of the two graphs
O it is a solution to f(x) = g(x) because it is the y-intercept of the two graphs.
O It is a solution to f(x) = g(x) because it is the x-coordinate where the two graphs intersect
O it is a solution to f(x) = g(x) because both graphs are positive at x = 3.
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Learn
Dotebook
1. Mario has 12 boxes of pizza He cut each pizza into eights. How mar
pieces of pizza will there be?
Answer: 96 slices
Step-by-step explanation:
In △ E F G △EFG, K K is the centroid. If K J = 7 KJ=7, find F K FK. E J G I F H K
Hello people~
Factorise : x² + 3x + 4x + 12
Answer:
(x+3)(x+4)
Step-by-step explanation:
Given:
→x² + 3x + 4x + 12
Take common from x² + 3x and 4x + 12
Now,
\(\hookrightarrow x(x+3)+4(x+3)\\\)
Here,
(x+3) can be written as one.
Then,
\(\hookrightarrow (x+3)(x+4)\\\)
And it is our answer.
Answer:
\(\displaystyle [x + 3][x + 4]\)
Explanation:
Find two quantities that when summed to 7, they also multiply to 12. Those will be 4 and 3. Sinse the entire expression is positive, the quantities STAY positive. Moreover, there is not much wourk to be done here BECAUSE the leading coefficient is one. This is all you can do:
\(\displaystyle x^2 + 7x + 12 \\ \\ \boxed{[x + 3][x + 4]}\)
I am joyous to assist you at any time.
The captain of a small plane starts his journey by proceeding north. The speed of the plane with respect to still air is 160 km/h. A sudden west wind starts to blow at a constant speed of 80.5 km/h. What is the speed of the plane relative to the ground if no action is taken by the pilot?
The speed of the plane relative to the ground if no action is taken by the pilot is 79.5 km/h westward.
Given information: The speed of the plane with respect to still air is 160 km/h.
West wind starts to blow at a constant speed of 80.5 km/h.
Let us consider Vp be the speed of the plane relative to the groundVw be the speed of the wind
So, the speed of the plane with respect to the ground is given by
Vp = Vp + VwVp = 160 + (-80.5)
Thus, the speed of the plane relative to the ground if no action is taken by the pilot is 79.5 km/h westward.
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7th grade math help me pleaseeee
Answer:
The lower left one.
Step-by-step explanation:
If you expand and rearrange it, you will find out both of its constant cancel out, and leave you with 3w=3w. So w have infinite number of solutions.
Answer:
\(6(\frac{1}{2} w-1)=3(w-2)\)
Step-by-step explanation:
\(6(\frac{1}{2} w-1)=3(w-2)\) (Isolate parentheses)
\(3w-6=3w-6\) (Add six to both sides to isolate one variable w)
\(3w=3w\) (Divide by three to isolate variable w)
\(w=w\)
Because we got \(w=w\), that means that any number you put in for w will still get you the same answer, or "infinite answers." If you try, say 5, you would still get the same answer if you put in 9. It has infinite answers.
I hope this helped :)
A coffee shop owner wants to examine the number of customers who pass in front of his store in the morning from 7:00am to 7:30am. Suppose that the mean number of customers during this time window is 200. What is the probability that more than 210 people will pass in front of his store
The probability that more than 210 people will pass in front of his store is 0.2272.
In the question, we are given that a coffee shop owner wants to examine the number of customers who pass in front of his store in the morning from 7:00 A.M to 7:30 A.M.
We are asked to find the probability that more than 210 people will pass in front of his store if the mean number of customers during this time is 210.
This experiment follows a Poisson Distribution with a mean (λ) = 200, and the random variable X = 210.
To find the probability that more than 210 people will pass in front of his store, we will find P(X > 200).
P(X > 200) = 1 - P(X ≤ 210).
Now, P(X ≤ 210) can be calculated using the function poissoncdf(200,210) on the calculator.
As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).
The value of poissoncdf(200,210) = 0.77271.
Thus, the value of P(X > 210) = 1 - 0.77271 = 0.22729.
Thus, the probability that more than 210 people will pass in front of his store is 0.2272.
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Kevin conducted a poll using a random sample of students at his school in order to estimate how the upcoming vote would turn out. Of his random sample of students, 72 said they would vote yes, 90 said they would vote no, and 18 were undecided. Using these observed frequencies, develop a probability model for Kevin randomly choosing one more student for the poll. Enter the probabilities as decimals.
Answer:2.4
Step-by-step explanation:
Use the distributive property to write an equivalent expression.
4(w-2x+4)
3. The decimal expansion of 13/625 will terminate
after how many places of decimal?
(a) 1
(b) 2
(c) 3
(d) 4
The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.
The given fraction is 13/625.
Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Here, the decimal expansion is 13/625 = 0.0208
So, the number of places of decimal are 4.
Therefore, the correct answer is option D.
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Please help fast!
Harald ordered 25 dL of carbonated water for himself and friends.
How many liters of carbonated water did he order?
Answer:
i believe the answer is 2.5
Step-by-step explanation:
Conversion list
Hi please help me!! thanks
Answer:
3.2 x 10^13
Step-by-step explanation:
(8x10^4)(4x10^8)
reorder the terms using the commutative property
(8x4)x(10^4x10^8)
multiply
32x (10^4 x 10^8)
= 32 x 10^4+8
= 32 x 10^12
now convert to scientific notation
=3.2 x 10^13
)A medical test correctly indicates that 97% of the affected population has a disease but incorrectly indicates that two percent of the healthy population has the disease. If 5% of the population has the disease what is the probability that a person who is diagnosed with the disease actually does?
Step-by-step explanation:
The probability that a person who is diagnosed with the disease actually has it is 97%.
This is because 97% of the affected population has the disease, and only 2% of the healthy population shows a positive result.
Therefore, if a person is diagnosed with the disease, there is a 97% chance that they actually have it, and only a 3% chance that the test was false-positive.
In the sieve method 100 to 200, how many divisible numbers by 3 are multiplied by 3 lines?
a)17
b)15
c)16
d)14
Write in index notation
4 x 4 x 4 x 5 x 5
Answer:
i think it might be 4^3 times 5^2
Step-by-step explanation:
Answer:
\(\boxed{16000}\)
Step-by-step explanation:
\(4 \times 4 \times \ 4 \times 5 \times 5\)
\(= {4^3 \times 5^2}\)
\(= 16000\)
Hope it helps you!!
ASAPPP How do I explain what's the difference in the meaning of the "+1" in the following equations: f(x)=2x^2+5x+1. and g(x)=2(x+5)^2+1 ??????
Answer:
The +1 in f(x) is the y intercept
The +1 in g(x) is the y coordinate of the vertex
Step-by-step explanation:
For f(x), plugging in x = 0 leads to
f(x) = 2x^2+5x+1
f(0) = 2(0)^2+5(0)+1
f(0) = 1
Showing that (0,1) is the y intercept of f(x).
The same is not true for g(x)
g(x) = 2(x+5)^2+1
g(0) = 2(0+5)^2+1
g(0) = 51
-------------------------------
The +1 for g(x) represents the y coordinate of the vertex. Recall that vertex form in general is
y = a(x-h)^2+k
with (h,k) being the vertex. This means we can quickly spot the vertex for g(x) without having to graph. The same cannot be said for f(x) as we need to complete the square to get f(x) into vertex form. Currently, f(x) is in standard form.
Need help with this composite shape!
The cross section of a prism is an n sided polygon.
Circle the number of edges that the prism has.
2n
n+2
n+ 3
3n
The number of edges that the prism has is
n + 2What does a prism's cross section look like?When a plane intersects a prism, the shape formed is known as the cross section. The cross section of the prism will have the same form as the base if it is divided by a plane that runs horizontally and parallel to the base.
A prism is a 3-dimensional object with two congruent and parallel bases (which are polyggonal) connected by rectangular lateral faces. The number of edges of a prism is equal to the sum of the number of edges of the two bases and the number of lateral faces.
Each base of the prism has n edges, so the two bases together have 2n edges. The number of lateral faces of the prism is equal to the number of edges of one of its bases, so there are n lateral faces. Each lateral face has 4 edges, so the total number of edges of the lateral faces is 4n.
Therefore, the total number of edges of the prism is equal to the sum of the number of edges of the two bases (2n) and the number of lateral faces (4n), which is 2n + 4n = 6n.
In conclusion, the cross section of a prism is an n-sided polygon and the prism has n + 2 edges.
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The model represents a perfect square monomial. an algebra tile configuration showing only the product spot, which has 4 tiles in 2 columns with 2 rows. first row: 2 x squared. second row: 2 x squared. what equation is represented by the model? (2x)2 = 4x2 (2x2)2 = 4x4 (4x)2 = 8x2 (4x2)2 = 8x8
A perfect square is an expression that factors into two other expressions that are identical. The equation that represents this model is (2x)²=4x².
What is a perfect square monomial?
A perfect square is an expression that factors into two other expressions that are identical. A monomial is a single phrase made up of a product of constants, variables, and their positive integer powers. As a result, a perfect square monomial is a monomial that factors into two monomials that are identical.
As given to us that the first row consists of tile 2x², and the second row also consists of tile 2x². Thus, the expression can be written as,
\(2x^2+2x^2\\\\=(2x)^2=4x^2\)
Hence, the equation that represents this model is (2x)²=4x².
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Answer:
A
Step-by-step explanation:
2022
B
_ + 2 = -1
4
What is the value of B?
\( \frac{b}{4} + 2 = - 1\)
\( \frac{b}{4} = - 1 - 2 = - 3\)
\(b = - 3 \times 4 = - 12\)
Answer: -12
ok done. Thank to me :>