Answer:
C
Step-by-step explanation:
you add 15 and 10 witch gets you 25 and then you add 3 for the students that don't play either witch gets you 28 and then subtract 28 from 32, or just count up from 28 to 32 but you get the same answer.
An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 2662 feet and Plane B is taking off. Plane A is gaining altitude at 25.25 feet per second and Plane B is gaining altitude at 85.75 feet per second. How many seconds will pass before the plane are at the same altitude? What will their altitude be when they’re at the same altitude?
Giving brainlist to whoever answers
Answer:
9/24
Step-by-step explanation:
Identifying Congruent Triangles
Find the measure of The missing angles
The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
For finding m∠1,
Here m∠2 = 90° as per the figure it is the right angle.
m∠1 + 40° + m∠2 = 180°
m∠1 + 40° + 90° = 180°
m∠1 = 50°
For finding m∠3,
m∠2 + m∠3 + 30° = 180°
90° + m∠3 + 30° = 180°
m∠3 = 60°
For finding m∠4 and m∠5
We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°
For finding m∠6 and m∠7
m∠6 + m∠7 + 20° = 180°
60° + m∠7 + 20° = 180°
m∠7 = 100°
Thus, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
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The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
For finding m∠1,
Here m∠2 = 90° as per the figure it is the right angle.
m∠1 + 40° + m∠2 = 180°
m∠1 + 40° + 90° = 180°
m∠1 = 50°
For finding m∠3,
m∠2 + m∠3 + 30° = 180°
90° + m∠3 + 30° = 180°
m∠3 = 60°
For finding m∠4 and m∠5
We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°
For finding m∠6 and m∠7
m∠6 + m∠7 + 20° = 180°
60° + m∠7 + 20° = 180°
m∠7 = 100°
Hence, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
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*URGENT*
I’ve been doing this problem over and over but i have a feeling i’m wrong, please help!!
\(\it tan60^o=\dfrac{AB}{BC} \Rightarrow \sqrt3=\dfrac{AB}{50} \Rightarrow AB=50\sqrt3\approx50\cdot1,732\approx87\ m\)
How has the "necessary and proper" clause been used to justify the granting of implied powers to Congress? U.S. Constitution Article 1, Section 8. Clause 18 "The Congress shall have Power ... To make all Laws which shall be necessary and proper for carrying into Execution de foregoing Powers, and all other Powers vested by this Constitution in the Government of the United States, or in any Department or Officer thereof."
A by giving Congress additional authority if there is a link to an enumerated power in the Constitution
B by permitting Congress to pass any law seen as essential even if it has no link to an enumerated power
C by giving Congress the authority to ignore the Constitution and assume additional unlisted responsibilities
D by allowing Congress to bypass the system of checks and balances and enact laws without presidential approval
Answer:
The answer is B "by permitting Congress to pass any law seen as essential even if it has no link to an enumerated power"
Step-by-step explanation:
What does the Necessary and Proper Clause in the Constitution imply about the powers of Congress?
The Congress shall have Power... To make all Laws which shall be necessary and proper for carrying into Execution the foregoing Powers, and all other Powers vested by this Constitution in the Government of the United States, or in any Department or Officer thereof.
PLZ THANK GIVE FIVE STARS AND GIVE BRAINLIEST:)
Answer:
B, by permitting Congress to pass any law seen as essential even if it has no link to an enumerated power
Step-by-step explanation:
The necessary and Proper clause was created to limit the powers of the government and also for checks and balances so that no other branch has too much control over the others. Therefore the Congress has the power to make laws that are necessary and proper for carrying into execution de foregoing powers.
What type of argument is this? "All cubes are square. A dice is a cube. Therefore, a dice must be square."
The argument presented is an example of a fallacy known as affirming the consequent, which incorrectly assumes that if the consequent of a conditional statement is true, then the antecedent must also be true. It fails to consider other possibilities and overlooks the fact that not all square shapes are cubes.
The argument presented is an example of a fallacy known as affirming the consequent, which is a formal logical fallacy. This fallacy occurs when one assumes that if the consequent (the "then" part) of a conditional statement is true, then the antecedent (the "if" part) must also be true.
In this case, the argument incorrectly assumes that because all cubes are square (if cube, then square) and a dice is a cube, then the dice must be square. However, this reasoning is flawed. While it is true that all cubes are square, not all square shapes are cubes. Therefore, even though a dice is a cube, it does not necessarily mean that it must be square.
The argument fails to consider other possibilities, such as the fact that cubes can have other shapes besides squares, like rectangular cubes. This logical error highlights the importance of careful reasoning and avoiding fallacies when making arguments.
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Describe what is meant by the slope of a non-vertical line. Explain how your description relates to the definition of slope.
Answer: A verticle line does not have a slope.
Step-by-step explanation: Slope is the rate of change of y for each change in x. y = 2x is a line with slope of 2. Each time x is incremented by 1, y will increase by twice (2x) that amount. There is no slope to a verticle line, unless you want to call it infinite. The value of y is not defined by x.
–6x + 2y =-12
6x + 5y = 117
a. (7, 15) b. (15,9)
c.(-7,-15) d.(-15,-9)
.
I need help
Answer:
B (15,9)
Step-by-step explanation:
There you go
Answer:
a
Step-by-step explanation:
- 6x + 2y = - 12 → (1)
6x + 5y = 117 → (2)
Add the 2 equations term by term to eliminate the x- term
0 + 7y = 105
7y = 105 ( divide both sides by 7 )
y = 15
Substitute y = 15 into either of the 2 equations and solve for x
Substituting into (2)
6x + 5(15) = 117
6x + 75 = 117 ( subtract 75 from both sides )
6x = 42 ( divide both sides by 6 )
x = 7
solution is (7, 15 ) → a
Three numerical expressions that are equivalent to (0.0004) x (0.005)
Answer:
Numerical expression 1
\(\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}\)
Numerical expression 2
\(\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}\)
Numerical expression 3
\(1 : 50000\)
Step-by-step explanation:
Numerical expression 1
\(\frac{4}{10000} * \frac{5}{1000} = \frac{20}{10000000} = \frac{1}{500000}\)
Numerical expression 2
\(\frac{1}{50000} = 0.2 * 10^{-4} = 2 * 10^{-5}\)
Numerical expression 3
\(1 : 50000\)
Show that f is continuous on (−[infinity], [infinity]). f(x) = 1 − x2 if x ≤ 1 ln(x) if x > 1
On the interval
(−[infinity], 1),
f is function; therefore f is continuous on
(−[infinity], 1).
On the interval
(1, [infinity]),
f is function; therefore f is continuous on
(1, [infinity]).
The function \($$f(x)= \begin{cases}1-x^2 & x \leqslant 1 \\ \ln (x) & x \geqslant 1\end{cases}$$\) is continuous on (-∞, ∞).
As per the given data the function f(x) is given by:
\($$f(x)= \begin{cases}1-x^2 & x \leqslant 1 \\ \ln (x) & x \geqslant 1\end{cases}$$\)
Here we have to determine that the function f(x) is continuous on (-∞, ∞)
If we show that f(x) is continuous at x = 1 then f(x) is continuous on (-∞, ∞)
What are continuous function?
A continuous function in mathematics is one where changes in the parameter cause constant changes in the function's value (i.e., a change without a leap). This shows that there are no abrupt changes in value or discontinuities.
To show f(x) is continuous at x = 1
\(\lim _{x \rightarrow 1^{-}} f(x)=\lim _{x \rightarrow 1^{+}}\) f(x)
\(\rightarrow \lim _{x \rightarrow 1^{-}} f(x) & =\lim _{x \rightarrow 1^{-}}\left(1-x^2\right) \\\)
= 1 - 1
= 0
\(\lim _{x \rightarrow 1^{+}} f(x) & =\lim _{x \rightarrow 1^{+}} \ln (x) \\\)
= ln 1
= 0
Therefore \(\lim _{x \rightarrow 1^{+}} f(x) & =\lim _{x \rightarrow 1^{-}} f(x)-0\).
Hence f(x) is continuous on (-∞, ∞)
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In a 2011 article in North Carolina Law Review, M. Radelet and G. a logistic prediction equation for death penalty verdicts in North Carolina. Let Y denote whether a subject convicted of murder received the death penalty (1 = yes), for defendant's race h (h = 1, black; h = 2, white), victim's race i (i = 1, black; i = 2, white), and number of additional factors j (j = 0, 1, 2). For the model = = - logit[P(Y = 1)] = a + BR +BY+B they reported â = -5.26, BP = 0.00, B2 = 0.17, BY = 0.00, BY = 0.91, B6 0.00, B 9 = 2.02, B5 = 3.98. a. Estimate the probability of receiving the death penalty for the group most likely to receive it. = LOGISTIC REGRESSION = b. If, instead, parameters used constraints B? = By = B = c. If, instead, parameters used constraints En BR = ŹBY = £; B = 0, report : 0, report the estimates. h the estimates.
Based on the given information, we can estimate the probability of receiving the death penalty for the group most likely to receive it by substituting the values of the coefficients into the logistic prediction equation:
P(Y = 1) = exp(a + B1R + B2Y + B3 + B4h + B5i + B6j + B7h*i)
where:
a = -5.26
B1 = 0.00
B2 = 0.17
B3 = 0.00
B4 = 0.91
B5 = 0.00
B6 = 2.02
B7 = 3.98
Assuming that the group most likely to receive the death penalty is a black defendant (h = 1), with a white victim (i = 2), and no additional factors (j = 0), we can plug in these values into the equation:
P(Y = 1) = exp(-5.26 + 0.00R + 0.17Y + 0.00 + 0.911 + 0.002 + 2.020 + 3.981)
P(Y = 1) = exp(-5.26 + 0.91 + 3.98)
P(Y = 1) = exp(-0.37)
Using the exponential function, we can calculate the estimated probability:
P(Y = 1) = 0.691
So, the estimated probability of receiving the death penalty for the group most likely to receive it (a black defendant with a white victim and no additional factors) is approximately 0.691 or 69.1%.
If the constraints B1 = By = B = 0 are used instead, the estimates for the coefficients would be different and would need to be calculated accordingly.
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using strips of paper or straws construct a triangle that has lengths of 3 in 3 in and 2 in include a picture of this construction and label the side length upload your picture and also name this triangle do not forget their name by both angle measures inside measures
Answer:
the triangle is an isosceles triangle.
Step-by-step explanation:
PLEASE HELP IT WORTH 50 points!!!!!
Answer:
(x-3) (x-2)
Step-by-step explanation:
\(x^{2}\) - 5x + 6
How to break down the equation and factorise it:
-3 x -2 = 6
-3 + -2 = -5
Final Answer:
(x-3) (x-2)
At what point do the curves F(t) = (t, 1 − t, 3 + t²) and ū(s) = (3 — s, s − 2, s²) intersect? Find their angle of intersection
The curves intersect at two points and their angle of intersection is approximately 125.1° and 62.7°.
To find the point of intersection between two curves, we need to solve the system of equations:
t = 3 - s
1 - t = s - 2
3 + t² = s²
Simplifying the second equation, we get:
t + s = 3
Substituting t = 3 - s in the third equation, we get:
s⁴ - 6s³ + 17s² - 24s + 10 = 0
This quartic equation can be solved using numerical methods or factored using the rational root theorem. However, the solutions are rather messy and not easy to obtain by hand. So we'll use a graphing calculator to find the approximate values of s:
s ≈ 2.399, 0.313
Substituting each value of s back into the first equation, we get the corresponding values of t:
When s ≈ 2.399, t ≈ 0.601
When s ≈ 0.313, t ≈ 2.687
So the two curves intersect at approximately two points: (0.601, 0.399, 4.360) and (2.687, -1.687, 0.534).
To find the angle of intersection, we can use the dot product formula:
cosθ = (F'(t) · ū'(s)) / (|F'(t)| |ū'(s)|)
where F'(t) and ū'(s) are the derivatives of the respective curves, and |F'(t)| and |ū'(s)| are their magnitudes.
Differentiating the first curve, we get:
F'(t) = (1, -1, 2t)
Differentiating the second curve, we get:
ū'(s) = (-1, 1, 2s)
So the dot product is:
F'(t) · ū'(s) = -1 - 1 + 4ts
The magnitudes of the derivatives are:
|F'(t)| = √(1 + 1 + 4t²)
|ū'(s)| = √(1 + 1 + 4s²)
Substituting the values of t and s for each point of intersection, we get:
At (0.601, 0.399, 4.360):
cosθ ≈ (-2.398) / (2.440 * 2.248) ≈ -0.527
θ ≈ 125.1°
At (2.687, -1.687, 0.534):
cosθ ≈ (8.542) / (6.144 * 2.784) ≈ 0.459
θ ≈ 62.7°
Therefore, the curves intersect at two points and their angle of intersection is approximately 125.1° and 62.7°.
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Please help me im fr struggling rn...
Answer:
I believe it would be D, the smiley face that's on the bottom.
Step-by-step explanation:
Since the smiley face is first reflected on the y axis, (vertically,) it'd be upside down. Then, turning it 90 degrees clockwise is simply just turning it left once.
a philosophy professor assigns letter grades on a test according to the following scheme. a: top 13% of scores b: scores below the top 13% and above the bottom 62% c: scores below the top 38% and above the bottom 15% d: scores below the top 85% and above the bottom 8% f: bottom 8% of scores scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5 . find the minimum score required for an a grade. round your answer to the nearest whole number, if necessary.
To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.
Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:
x = μ + (z * σ)
where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:
x = 69.5 + (1.04 * 9.5) ≈ 79.58
Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.
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Solve analytically Laplace's equation Au=0 in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.
The Laplace equation is defined as Au=0. The aim is to solve analytically Laplace's equation in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.
Let's consider the Laplace equation as followsAu = ∂²u/∂x² + ∂²u/∂y²= 0Given boundary conditions areu(x, 0) = 0u(0, y) = 0u(x, 1) = u(1, y) = 1The solution of the Laplace equation is as followsu(x,y) = X(x).Y(y)Let's find the boundary conditionsu(x, 0) = 0
Let's substitute the value of Y(0) in the solution to get X(x).Y(0) = 0, which implies Y(0) = 0Similarly, u(0, y) = 0 => X(0).Y(y) = 0 => X(0) = 0Now, let's find the remaining boundary conditionsu(x, 1) = 1X(x).Y(1) = 1 => Y(1) = 1/X(x)u(1, y) = 1 => X(1).Y(y) = 1 => X(1) = 1/Y(y)Now, let's put the values of X(0) and X(1) in the below equationX(0) = 0, X(1) = 1/Y(y)X(x) = x
Now, let's put the values of Y(0) and Y(1) in the below equationY(0) = 0, Y(1) = 1/X(x)Y(y) = sin(n.π.y) /sinh(n.π)Therefore, the solution of Laplace's equation u(x, y) is as follows;u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π)Answer:Therefore, the solution of Laplace's equation u(x, y) is u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π).
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Pls help
Simplify the expression: -1.23x + 1.54x + 1.2 + 1.2 + 3.4p
Answer:
0.31x + 2.4 + 3.4p
Step-by-step explanation:
combine like terms
8√12 / √15 = ?
I have the answer, I just don't know how to show my work. Can you please explain it?
Answer:
7.15541753
Step-by-step explanation:
8√12/ √15
8√2×2×3 / √3×5
8√2²×3/√3×5
8×2√3/√3×5
16√3/√3×5
7.15541753
Each of the following languages is the intersection of two simpler languages. In each part, construct DFAs for the simpler languages, then combine them using the construction discussed in footnote 3 (page 46) to give the state diagram of a DFA for the language given. In all parts, Σ={a,b}. a. {w∣w has at least three a's and at least two b's } A
b.{w∣w has exactly two a's and at least two b's } c. {w∣w has an even number of a's and one or two b's } A d. {w∣w has an even number of a's and each a is followed by at least one b} e. {w∣w starts with an a and has at most one b } f. {w∣w has an odd number of a's and ends with a b } g. {w∣w has even length and an odd number of a's }
To solve the given problem, we first find the DFAs for the simpler languages, then combine them using the construction discussed in footnote 3 (page 46) to give the state diagram of a DFA for the language given.
Let's start solving the given parts: a. {w∣w has at least three a's and at least two b's }A DFA for L1= {w∣w has at least three a's and at least two b's } can be constructed as follows:
Now, we need to construct a DFA for the simpler language B1 = {w | w has at least two b's}. Constructing the DFA for B1 using a state diagram: Now, we need to combine the above two DFAs to get a DFA for language {w | w has at least three a's and at least two b's}.
Let's combine DFA for L1 and DFA for B1 using the construction discussed in footnote 3 (page 46):b. {w∣w has exactly two a's and at least two b's }A DFA for L2 = {w∣w has exactly two a's and at least two b's } can be constructed as follows:
Now, we need to construct a DFA for the simpler language B2 = {w | w has at least two b's}. Constructing the DFA for B2 using a state diagram: Now, we need to combine the above two DFAs to get a DFA for language {w | w has exactly two a's and at least two b's}.
Let's combine DFA for L2 and DFA for B2 using the construction discussed in footnote 3 (page 46):c. {w∣w has an even number of a's and one or two b's }A DFA for L3 = {w∣w has an even number of a's and one or two b's } can be constructed as follows:
Now, we need to construct a DFA for the simpler language B3 = {w | w has one or two b's}. Constructing the DFA for B3 using a state diagram: Now, we need to combine the above two DFAs to get a DFA for language {w | w has an even number of a's and one or two b's}.
Let's combine DFA for L3 and DFA for B3 using the construction discussed in footnote 3 (page 46):d. {w∣w has an even number of a's and each a is followed by at least one b}A DFA for L4= {w∣w has an even number of a's and each a is followed by at least one b} can be constructed as follows:
Now, we need to construct a DFA for the simpler language B4 = {w | each a in w is followed by at least one b}. Constructing the DFA for B4 using a state diagram: Now, we need to combine the above two DFAs to get a DFA for language {w | w has an even number of a's, and each a is followed by at least one b}.
Let's combine DFA for L4 and DFA for B4 using the construction discussed in footnote 3 (page 46):e. {w∣w starts with an a and has at most one b }A DFA for L5 = {w∣w starts with an a and has at most one b } can be constructed as follows: Now, we need to construct a DFA for the simpler language B5 = {ε, b, bb}.
Constructing the DFA for B5 using a state diagram: Now, we need to combine the above two DFAs to get a DFA for language {w | w starts with an a and has at most one b}.
Let's combine DFA for L5 and DFA for B5 using the construction discussed in footnote 3 (page 46):f. {w∣w has an odd number of a's and ends with a b }A DFA for L6 = {w∣w has an odd number of a's and ends with a b } can be constructed as follows: Now, we need to construct a DFA for the simpler language B6 = {b}.
Constructing the DFA for B6 using a state diagram: Now, we need to combine the above two DFAs to get a DFA for language {w | w has an odd number of a's and ends with a b}.
Let's combine DFA for L6 and DFA for B6 using the construction discussed in footnote 3 (page 46):g. {w∣w has even length and an odd number of a's }A DFA for L7= {w∣w has even length and an odd number of a's } can be constructed as follows: Now, we need to construct a DFA for the simpler language B7 = {w | w has even length}.
Constructing the DFA for B7 using a state diagram: Now, we need to combine the above two DFAs to get a DFA for language {w | w has even length and an odd number of a's}. Let's combine DFA for L7 and DFA for B7 using the construction discussed in footnote 3 (page 46):
Thus, we have constructed DFAs for the simpler languages, then combined them using the construction discussed in footnote 3 (page 46) to give the state diagram of a DFA for each of the given languages.
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what's the value of x
Answer:
x = 122°
Step-by-step explanation:
There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .
Exterior angle is an angle formed from one side of the polygone and the extended side so
<A and <B are remot angle and <BCD is exterior angle .
And we write the equetion as
<A + <B = <BCD
58° + 64° = x°
122° = X°
so the exterior angle ( x ) measures 122° .
2x / 5 - 3 / 2 is equal to X by 2 + 1
Answer:The value of x=9
Step-by-step explanation:
2x/5 - 3/2 =x/2+1
4x-15/10=x/3
15x-45=10x
15x-10x=45
5x=45
x=9
At Burger Haven, 11 of the last 44 customers wanted cheese on their burgers. Considering this data, how many of the next 256 customers would you expect to want cheese?
Answer:
64
Step-by-step explanation:
11 out of 44 = 25%
11 ÷ 44 = 0.25 = 25%
25% × 256 = 64
determine whether s is a basis for m2,2. s = 4 0 0 3 , 1 0 4 1 , 0 1 4 1 , 0 2 2 0
The set S is linearly dependent and the matrix A has rank 3.
Sets are groups of well-defined objects or components in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.
Set A, for instance, is a collection of all the natural numbers, with the form A = 1, 2, 3, 5, 6, 7, 8, etc.
The maximum number of linearly independent columns (or rows ) of a matrix is called the rank of a matrix. The rank of a matrix cannot exceed the number of its rows or columns.
Thus, The set S is linearly dependent and the matrix A has rank 3.
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a large company is interested in improving the efficiency of its customer service and decides to examine the length of the business phone calls made to clients by its sales staff. here is a cumulative relative frequency graph from data collected over the past year. according to the graph, the shortest 80% of calls will take how long to complete? less than 10 minutes at least 10 minutes exactly 10 minutes at least 5.5 minutes less than 5.5 minutes
According to the cumulative relative frequency graph, the shortest 80% of calls will take at least 5.5 minutes to complete. Therefore, the answer is "at least 5.5 minutes". So, the correct answer is D).
Cumulative relative frequency graphs display the accumulation of the relative frequencies of a dataset as the values increase. In this problem, the cumulative relative frequency graph represents the distribution of the lengths of business phone calls made by a company's sales staff.
The graph shows that approximately 20% of calls take longer than the maximum value on the x-axis, and the shortest 80% of calls take at least 5.5 minutes to complete. This information can be used by the company to set performance goals for its sales staff and to allocate resources to improve customer service efficiency. The correct option is D).
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I NEED HELP.. :(
Someone please help me with this edge unity question
Answer:
I think its a,c,d,f, and g
Find the value of x. Assume that lines that
appear tangent are tangent.
X
10 15
24
The value of x in the chord intersection is 16 units.
How to find the length of chord?The intersecting chord theorem states that the products of the lengths of the line segments on each chord are equal. In other words, If two chords intersect in a circle , then the products of the measures of the segments of the chords are equal.
Therefore, lets find the value of x in the intersecting chords as follows:
15 × x = 24 × 10
15x = 240
divide both sides of the equation by 15
x = 240 / 15
x = 16
Therefore,
x = 16 units
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Charles Horton Cooley and George Herbert Mead both have theories on how individuals develop and modify their sense of self. What makes these theories different from one another
Charles Horton Cooley and George Herbert Mead both contributed to the understanding of self-development, but their theories differ in terms of the primary influence on the formation of self.
Cooley's theory emphasizes the role of social interactions and the "looking-glass self," while Mead's theory focuses on the significance of language and symbolic interaction. Charles Horton Cooley's theory of self-development revolves around the concept of the "looking-glass self." Cooley argued that individuals develop their sense of self through social interactions and feedback from others.
According to Cooley, people imagine how they appear to others and interpret their reactions, forming their self-perception based on these social reflections. The looking-glass self emphasizes the influence of social relationships and the perception of others in shaping one's identity.
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The population of a town increases 10% every 3 years if the present population is 72600 calculate its population after 6 years and 6 years ago
Answer:
After 6 years = 87120 people.
Before 6 years = 5808 people.
Step-by-step explanation:
To calculate how many populations that are added in every 10% in 3 years:
72600 × 10/100 = 7260
After 6 years = 72600 + 7260 × 2 = 87120 people.
Before 6 years = 72600 - 7260 × 2 = 5808 people.
fill in the blank to solve the equation below
12 + 24 = 2(6 + _)
Answer:
12 + 24 = 2(6 + 12)
Step-by-step explanation:
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Answer:
=12
=2(6+12)
=2(6)+2(12)
=12+24
Step-by-step explanation:
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