Answers
The difference between the interquartile range of Matt's remaining vacation days an Linda's remaining vacation days is given as follows:
-3.5.
How to obtain the interquartile range?The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.
Matt's ordered data-set is given as follows:
5, 9, 11, 12.
Hence the quartiles are:
Q3 = 11.5 -> Mean of the last two elements.Q1 = 7 -> Mean of the first two elements.Hence the IQR is of:
IQR = 11.5 - 7 = 4.5.
Linda's ordered data-set is given as follows:
0, 6, 9, 13.
The quartiles aret
Q3 = 11.Q1 = 3.The IQR is of:
IQR = 11 - 3 = 8.
Hence the difference is of:
4.5 - 8 = -3.5.
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Related Questions
find the solution to the system of eqautions shown below.
y=(x-3)^2-47
y=17
Answers
Suppose,
[tex]y=(x-3)^2-47 ----------------(1)\\y=17 -------------------------(2)[/tex]
Put [tex]y=17[/tex] in place of x in the first equation:
[tex]17=(x-3)^2-47[/tex]
To both sides, add [tex]47[/tex]:
[tex]64=(x-3)^2[/tex]
Add the square roots of both sides together:
[tex]8=x-3[/tex] or [tex]-8=x-3[/tex]
To each sides, add [tex]3[/tex]:
[tex]x=11 or -5[/tex]
As a result, the following are the equations' solutions:[tex]x=-5, y=17 or x=11, y=17[/tex].
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The table represents a quadratic function C(t).
t C(t)
−2 7
−1 4
0 3
1 4
2 7
What is the equation of C(t)?
C(t) = −(t − 3)2
C(t) = (t − 3)2
C(t) = −t2 + 3
C(t) = t2 + 3
Answers
The equation of the quadratic function C(t) is given as follows:
C(t) = t² + 3.
How to define the quadratic function given it's vertex?The quadratic function of vertex(h,k) is given by the rule presented as follows:
y = a(x - h)² + k
In which:
h is the x-coordinate of the vertex.k is the y-coordinate of the vertex.a is the leading coefficient.The vertex is the turning point of the function, where it changes from decreasing to increasing, or vice versa, hence:
(0,3).
Then:
y = at² + 3.
When x = 1, y = 4, hence the leading coefficient a is obtained as follows:
4 = a(1)² + 3
a = 1.
Hence the function is given as follows:
y = t² + 3.
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When rolling two dice, what’s the probability that the outcomes are greater than 9
Answers
Answer:6??
Step-by-step explanation:
. Tommy has started in a total of 109 RHS games, all football and baseball. The number of baseball games he started was five less than twice the number of football games he started. How many football games did Tommy start?
Answers
Answer:
Let's denote the number of football games Tommy started as "f" and the number of baseball games he started as "b."
We're given two pieces of information:
Tommy has started a total of 109 RHS games:
f + b = 109 (Equation 1)
The number of baseball games he started was five less than twice the number of football games he started:
b = 2f - 5 (Equation 2)
We can solve this system of equations to find the value of "f," which represents the number of football games Tommy started.
Substitute Equation 2 into Equation 1:
f + (2f - 5) = 109
Combine like terms:
3f - 5 = 109
Add 5 to both sides:
3f = 114
Divide both sides by 3:
f = 38
Therefore, Tommy started 38 football games.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Tommy started with 71
If A and B are m × n matrices such that Ax = Bx for all x ∈ R n , then A = B. Please prove this.
Answers
From matrix property it can be showed that A=B.
Given,
If A,B and x are matrices with x≠0 and AX=BX
Now.
X must be non-singular matrix because
A[tex]XX^{-1}[/tex]=B[tex]XX^{-1}[/tex]
[tex]XX^{-1}[/tex] = I( identity matrix )
AI = BI
A = B
Hence Proved, A = B .
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16 Bob is at a Carnival and will spin each spinner one time.
AB
4
1966
3
5
2
6 1
16
2
5
What is the probability that the spinner on the left will land on a 6 and the
spinner on the right will land on a shaded area?
3
4
213112
17 The equation 3x + 4 = 16 is modeled below:
Answers
The probability that the spinner on the left will land on a 6 and the spinner on the right will land on a shaded area will be 1/9. The correct option is A.
Probability is a branch of mathematics that deals with the measurement and analysis of uncertainty. In other words, probability is the measure of the likelihood or chance that a particular event will occur.
The probability that the spinner on the left will land on a 6 is calculated as,
P₁ = 2 / 12
The spinner on the right will land in a shaded area is,
P₂ = 8 / 12
The total probability will be,
P = ( 2 / 12 ) x ( 8 / 12 )
P = 1 / 9
Therefore, the probability that the spinner on the left will land on a 6 and the spinner on the right will land on a shaded area will be 1/9. The correct option is A.
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BRAINLIEST
Write the equation for the translation of the graph of ( brackets = absolute value ) y=[2x+7] one unit to the left.
Answers
As a result, y = |2x + 5| is the equation for translating the graph of y = |2x + 7| one unit to the left.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The function is given below:
y = |2x + 7|
The translated function is as follows:
y = |2(x - 1) + 7|
y = |2x - 2 + 7|
y = |2x + 5|
As a result, y = |2x + 5| is the equation for translating the graph of y = |2x + 7| one unit to the left.
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Which coordinate is a zero of the function defined by 3x^2 – 15x – 18?
Answers
Answer:
[tex]3 {x}^{2} - 15x - 18 = 0[/tex]
[tex] {x}^{2} - 5x - 6 = 0[/tex]
[tex](x + 1)(x - 6) = 0[/tex]
x = -1 or x = 6
The coordinates of the zeroes are (-1, 0) and (6, 0).
The volume of a box is 36 cubic inches. If the length is 3 inches and the width is 3 inches, what is the height of the box?
Answers
The height of the box is 4 inches.
The volume of a box is given by the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height. We are given that the volume of the box is 36 cubic inches, the length is 3 inches, and the width is 3 inches.
So, we can plug in these values into the formula and solve for the height h:
V = lwh
36 = 3 x 3 x h
36 = 9h
h = 36/9
h = 4
Therefore, the height of the box is 4 inches.
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Finance and Financial Planning companies are not really looking for employees who are innovators or think outside the box.
True
False
Answers
Finance and Financial Planning companies are not really looking for employees who are innovators or think outside the box: False.
What are financial planning skills?Financial planning skills can be defined as the ability of an individual such as an employee, to determine the most appropriate (best) financing and investing activities for himself or herself, or a business firm after analyzing and evaluating all available financial options.
In this context, we can reasonably infer and logically deduce that financial planning skills ultimately enables an individual such as an employee, to prepare and plan for the future.
In conclusion, most finance and financial planning companies require employees who are innovators and can think outside the box.
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Steve says to find the difference in temperature between 7 AM and
12 PM Wednesday, he can use a number line. He says because one
temperature is negative and the other is positive, he can add together their
distances from 0.
Kelly says that she can find the change by subtracting -5.1 from the temperature
at 12 PM on Wednesday.
Who is correct? Use the drop-down menus to explain your reasoning and find the
change in temperature.
and the distance from 0 to the Wednesday 12 PM temperature is 2.5
Answers
Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.
By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.
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Please help I’ll mark you as brainliest if correct
Answers
Answer:
5, 3
Step-by-step explanation:
Task 8: Solving for Systems of Linear Equations: Determining "intersection" point.
By successfully writing equations to define each red line, you are now to solve for where those
lines might meet on your coordinate grid.
•
●
●
Select two lines, preferably two that cross on your blueprint, and use the substitution
method to solve for their intersection point.
Mark each intersection point using a YELLOW POINT on your blueprint.
Repeat this for a total of three intersecting lines.
Example problem:
Y = -2X + 14 and Y = 3X-7
Intersection point = (4.2, 5.6)
-2X+14=3X-7
-2X=3X-21
5X=-21
X = 4.2
Y = -2(4.2) + 14
Y = -8.4 + 14
Y = 5.6
Answers
Marking the intersection points on the blueprint with yellow points:
Intersection point of Equations 1 and 2: (7, 0)Intersection point of Equations 1 and 3: (11.2, -8.4)Intersection point of Equations 2 and 3: (3.6, 3.8)How to determine intersection point?To solve for the intersection points of three lines.
Equation 1: Y = -2X + 14
Equation 2: Y = 3X - 7
Equation 3: Y = 0.5X + 2
To find the intersection point of Equations 1 and 2, use the substitution method.
Substituting Equation 1 into Equation 2:
-2X + 14 = 3X - 7
Adding 2X and subtracting 14 from both sides:
-2X + 2X + 14 = 3X + 2X - 7 - 14
14 = 5X - 21
Adding 21 to both sides:
14 + 21 = 5X
35 = 5X
Dividing both sides by 5:
X = 7
Now substitute X = 7 back into Equation 1 to find the corresponding Y value:
Y = -2(7) + 14
Y = -14 + 14
Y = 0
Therefore, the intersection point of Equations 1 and 2 is (7, 0).
To find the intersection point of Equations 1 and 3, use the same substitution method.
Substituting Equation 1 into Equation 3:
-2X + 14 = 0.5X + 2
Adding 2X and subtracting 14 from both sides:
-2X + 2X + 14 = 0.5X + 2X - 14
14 = 2.5X - 14
Adding 14 to both sides:
14 + 14 = 2.5X
28 = 2.5X
Dividing both sides by 2.5:
X = 11.2
Now substitute X = 11.2 back into Equation 1 to find the corresponding Y value:
Y = -2(11.2) + 14
Y = -22.4 + 14
Y = -8.4
Therefore, the intersection point of Equations 1 and 3 is (11.2, -8.4).
To find the intersection point of Equations 2 and 3, substituting Equation 2 into Equation 3:
3X - 7 = 0.5X + 2
Subtracting 0.5X and adding 7 to both sides:
3X - 0.5X = 0.5X + 2 + 7
2.5X = 9
Dividing both sides by 2.5:
X = 3.6
Now substitute X = 3.6 back into Equation 2 to find the corresponding Y value:
Y = 3(3.6) - 7
Y = 10.8 - 7
Y = 3.8
Therefore, the intersection point of Equations 2 and 3 is (3.6, 3.8).
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A statement That is accepted if the sample data provide sufficient evidence that the null hypothesis is false, is called
A. Simple Hypothesis
B. Composite Hypothesis
C. Statistical Hypothesis
D. Alternative Hypothesis
Answers
The correct answer for the statement is,
⇒ Alternative Hypothesis
Hence, Option D is true.
We have to given that;
To complete the sentence,
A statement is,
That is referred to as ___ and is accepted if the sample data provide enough evidence to refute the null hypothesis.
Now, We know that;
Definition of Alternative Hypothesis,
When the sample data support the null hypothesis sufficiently, a statement is taken as true, yet it is untrue.
Hence, Complete sentence is,
A correct statement which is accepted for the sample data provided sufficient evidence that the null hypothesis is false, is called Alternative Hypothesis.
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Solve for x. You must show all of your work to receive credit.
V
5r+17
W
23x-5
37x+5
U
Answers
The solution for x in the circle is:
x = 6
How to solve for x in the circle?Tangent-tangent theorem states that "The measure of an angle formed by a two tangents drawn from a point outside the circle is one-half the difference of the intercepted arcs".
Using the above theorem. We can say:
5x + 17 = 1/2 * [(37x+5) - (23x-5)]
5x + 17 = 1/2 * [37x + 5 - 23x + 5]
5x + 17 = 1/2 * [14x + 10]
5x + 17 = 7x + 5
7x - 5x = 17 - 5
2x = 12
x = 12/2
x = 6
Therefore, the solution for x is 6.
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Complete Question
Check attached image
Determine the intercepts of the line.
�
yy-intercept:
(
(left parenthesis
,
,comma
)
)right parenthesis
�
xx-intercept:
(
(left parenthesis
,
,comma
)
)right parenthesis
A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points negative ten, zero and zero, negative forty-five.
Answers
The x-intercept of the given line is (-10, 0). The y-intercept is determined as (0, -45).
What is the Y-intercept and the X-intercept of a Line?The y-intercept is the point at which the line crosses the y-axis. Geometrically, it speaks to the esteem of the subordinate variable (as a rule signified as y) when the autonomous variable (more often than not indicated as x) is rise to to zero.
On the other hand, the value of x when y is equal to zero, is referred to as the x-intercept of the line.
The x-intercept of the line shown in the image above is (-10, 0), while the y-intercept is (0, -45).
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Find the formula for the Riemann sum obtained by dividing the interval [0, 1] into n equal
subintervals and using the right endpoint for each c. Then take the limit of these sums as n → ∞
to calculate the area under the curve f(x) = 21x + 21x³ over [0, 1].
The area under the curve over [0, 1] is…..
Answers
The area under the curve over [0, 1] is 15.75.
How to solveTo find the Riemann sum, divide [0, 1] into n equal subintervals of width Δx = 1/n.
Using the right endpoint, c = iΔx = i/n. The Riemann sum is:
Σ[f(c)Δx] = Σ[(21(i/n) + 21(i/n)³)(1/n)] from i=1 to n.
To find the area under the curve, take the limit as n→∞:
Area = lim(n→∞) Σ[(21(i/n) + 21(i/n)³)(1/n)].
Find the answer by using the method of definite integration.
Area = ∫(21x + 21x³)dx from 0 to 1 = [10.5x² + 5.25x⁴] from 0 to 1 = 10.5(1)² + 5.25(1)⁴ - 0 = 15.75.
The area under the curve over [0, 1] is 15.75.
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THe blanks for 1 Pt 2 are both , Mean, Median, mode, standard devidation, range.
Answers
The Mean = 9.778
The Median = 9
The Mode = 5 and 10
The Standard deviation = 6.21
The Range = 22
What are the Mean, Median, Mode, Standard Deviation and Range?Mean:
To get, we will sum up all the values and divide by the total number of values.
Mean - Ef/n
Mean = (4 + 5 + 5 + 8 + 9 + 10 + 10 + 11 + 26) / 9
Mean = 88 / 9
Mean = 9.778
Median:
This means middle value of a dataset when arranged in ascending order. If there are two middle values, median is average of the two.
Arranging dataset in ascending order: 4, 5, 5, 8, 9, 10, 10, 11, 26. The Median is 9.
Mode:
The mode is the value that occur(s) most frequently in the dataset. In this dataset, the mode is 5 and 10 as both occur twice.
Standard Deviation:
Variance = [[tex](4 - 9.778)^2 + (5 - 9.778)^2 + (5 - 9.778)^2 + (8 - 9.778)^2 + (9 - 9.778)^2 + (10 - 9.778)^2 + (10 - 9.778)^2 + (11 - 9.778)^2 + (26 - 9.778)^2] / 9[/tex]
Variance = 38.617284
Variance = 38.62
Standard Deviation = √Variance
Standard Deviation = √38.62
Standard Deviation = 6.21449917532
Standard Deviation = 6.21
Range:
The range is difference between maximum and minimum values
Range = 26 - 4
Range = 22
b. The outline for the data set is as follows:
Minimum value: 4First quartile (Q1): 5Median: 9Third quartile (Q3): 10Maximum value: 26Read more about centre of measures
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In the figure, A MNP-AXYZ. Find the value of x.
X
P
+F
M
18
N
Z
27
G 12
Answers
The solution is: the values of x and y is 32° and 51° respectively.
Using the triangle theorem, the values of x and y is 32° and 51° respectively
From △MNP
∠M + ∠N + ∠P = 180° (Sum of interior angles in a triangle)
N = 180 - (142 + 24)
N = 180 - 168
N = 14°
Equate the expression :
2x - 50 = 14
2x = 14 + 50
2x = 64
x = 64 / 2
x = 32°
From ; 2x - y = 13 _____(1)
Substitute x = 32 into the expression ;
2(32) - y = 13
64 - y = 13
64 - 13 = y
51° = y
Therefore, the values of x and y is 32° and 51° respectively.
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complete question:
Find the value of x and y. Triangle MNP = triangle TUS
when do you think pressure can be negative
Answers
Answer:
Yes it can be negative
Step-by-step explanation:
For example, in a vacuum, there is no atmospheric pressure and the pressure is zero. If we introduce a sealed container into the vacuum and pump out the air, the pressure inside the container will be negative compared to the pressure outside the container.
1. A cube of sugar is 2 cm wide. Calculate the num- ber of cubes in a box 720 cm².2. Calculate the amount of air in a room 6 m long, 5 m wide and 3 m high.3. The area of one side of a cuboid is 360 cm². What is the length, if the width is 1.5 cm? 4What is the volume of a container if it contains 12 boxes each 2.5 cm by 3 cm by 4.5 cm?5. A tank contains 4 500/ of water. Find the depth of the tank if its base area is 300 m².
Answers
- Volume of one cube = (2 cm)³ = 8 cm³
- Area of one cube = (2 cm)² = 4 cm²
- Number of cubes in a box 720 cm² = 720 cm² / 4 cm² = 180 cubes
For the amount of air in a room:
- Volume of the room = (6 m) x (5 m) x (3 m) = 90 m³
For the length of the cuboid:
- Length of the cuboid = 360 cm² / (1.5 cm) = 240 cm
For the volume of the container:
- Volume of one box = (2.5 cm) x (3 cm) x (4.5 cm) = 33.75 cm³
- Volume of 12 boxes = 12 x 33.75 cm³ = 405 cm³
For the depth of the tank:
- Volume of water in the tank = 4,500/100 x 300 m² = 13,500 m³
- Depth of the tank = 13,500 m³ / (300 m²) = 45 m.
The total number of atoms represented by Cd(CH₂CICO₂)2 is:
O a) 13
Ob) 16
O c) 17
Od) 15
Oe) 14
Answers
The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.
What is addition?In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.
To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.
Cd(CH₂CICO₂)₂ contains:
1 cadmium (Cd) atom
2 carbon (C) atoms
6 hydrogen (H) atoms
4 oxygen (O) atoms
2 chlorine (Cl) atoms
Adding these up, we get:
1 + 2 + 6 + 4 + 2 = 15
Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.
The answer is (D) 15.
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Simplify
| 2(11-3)/2|^2
Answers
Answer:
To simplify the expression |2(11-3)/2|^2, we follow the order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).
First, simplify the expression inside the absolute value:
2(11-3)/2 = 2(8)/2 = 16/2 = 8
Now, simplify the absolute value of 8, which is simply the magnitude of 8:
|8| = 8
Finally, square the result:
8^2 = 8 * 8 = 64
Therefore, the simplified value of |2(11-3)/2|^2 is 64.
Step-by-step explanation:
The measure of an angle is 80.8°. What is the measure of its complementary angle?
Answers
Answer:
Step-by-step explanation:
complementary is 90 degrees
Suppose that the common shares of Oceanic Luxury Vessels , Inc. , is trading for $ 38 a share and that 5 million shares are outstanding . The company also has 75,000 bonds outstanding , which are selling at 102 percent of par . If Oceanic Luxury Vessels , Inc. , was considering an active change to its capital structure so that the firm would have a D/E ratio of 1.6 , which type of security ( stocks or bonds ) would it need to sell to accomplish this , and how much would it have to sell ? A. Debt ; $ 349.9 million B. Stock : $ 445.2 million C. Debt ; $ 248.5 million D. Stock ; $ 289.4 million
Answers
Answer:
To have a D/E ratio of 1.6, Oceanic Luxury Vessels, Inc. would need to sell debt securities.
First, we need to calculate the market value of the company's equity.
Market value of equity = Number of shares outstanding × Market price per share
Market value of equity = 5,000,000 × $38
Market value of equity = $190,000,000
Next, we can calculate the current debt-to-equity (D/E) ratio of the company:
Current D/E ratio = Total debt / Total equity
Total debt = Number of bonds outstanding × Bond price per bond × Par value
Total debt = 75,000 × 1.02 × $1,000
Total debt = $76,500,000
Current D/E ratio = $76,500,000 / $190,000,000
Current D/E ratio = 0.403
To achieve a D/E ratio of 1.6, the company would need to increase its total debt by a factor of 1.6/0.403 = 3.97.
New total debt = 3.97 × $76,500,000
New total debt = $304,305,000
To calculate the amount of debt securities the company would need to sell, we can subtract the current total debt from the new total debt:
Amount of debt to be sold = $304,305,000 - $76,500,000
Amount of debt to be sold = $227,805,000
Therefore, the company would need to sell debt securities worth $227.8 million to achieve a D/E ratio of 1.6.
The correct answer is C. Debt; $248.5 million.
The average price of a college math textbook is $151 and the standard deviation is $24. Suppose that 40 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.
What is the distribution of
X? X ~ N( , )
For the group of 40, find the probability that the average price is between $152 and $155.
Find the third quartile for the average textbook price for this sample size. $
(round to the nearest cent)
For part b), is the assumption that the distribution is normal necessary? YesNo
Answers
(a) The distribution of X is X ~ N(151, 24)
(b) The probability that the average price is between $152 and $155 is 0.950
(c) The quartile for the average textbook price for this sample size is $167.2
(d) The assumption of normal distribution is necessary
(a) What is the distribution of X?Given that
Mean = 151
Standard deviation = 24
The distribution of X is represented as
X ~ N(Mean , Standard deviation)
So, we have
X ~ N(151, 24)
(b) The probability that the average price is between $152 and $155.The z-score is calculated as
z = (x - Mean)/Standard deviation
So, we have
z = (152 - 151)/24 and z = (155 - 151)/24
Evaluate
z = 0.042 and z = 0.167
So, we have
P = P(0.042 < z < 0.167)
Evaluate
P = 0.95044
Approximate
P = 0.950
(c) Finding the third quartileThis is calculated as
Q₃ = Mean + 0.675 * Standard deviation
So, we have
Q₃ = 151 + 0.675 * 24
Evaluate
Q₃ = 167.2
Hence, the quartile for the average textbook price for this sample size is $167.2
(d) Is the assumption necessaryYes, the assumption is necessary
This is because
The distribution has a sample size greater than 25 as required by the central limit theorem
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Suppose that the average number of friends users have is normally distributed with a mean of 130 and a standard deviation of about 49. Assume eighteen individuals are randomly chosen.
Answer the following questions. Round all answers to 4 decimal places where possible.
What is the distribution of
X? X ~ N( , )
For the group of 18, find the probability that the average number of friends is less than 135.
Find the first quartile for the average number of friends.
For part b), is the assumption that the distribution is normal necessary? No or Yes
Answers
(a) The distribution of X is X ~ N(130, 49)
(b) The probability that the average number of friends is less than 135 is 0.610
(c) The first quartile for the average number of friends is 96.925
(d) The assumption of normal distribution is necessary
(a) What is the distribution of X?Given that
Mean = 130
Standard deviation = 49
The distribution of X is represented as
X ~ N(Mean , Standard deviation)
So, we have
X ~ N(130, 49)
(b) The probability that the average is less than 135.The z-score is calculated as
z = (x - Mean)/Standard deviation
So, we have
z = (135 - 130)/18
Evaluate
z = 0.278
So, we have
P = P(z < 0.278)
Evaluate
P = 0.60949
Approximate
P = 0.610
(c) Finding the first quartileThis is calculated as
Q₁ = Mean - 0.675 * Standard deviation
So, we have
Q₁ = 130 - 0.675 * 49
Evaluate
Q₁ = 96.925
Hence, the first quartile for the average friends for this sample size is 96.925
(d) Is the assumption necessaryYes, the assumption is necessary
This is because
The distribution has a sample size greater than 25 as required by the central limit theorem
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HELPPPP!!
can someone tell me how they got five as an answer in the image i attached !!!
Answers
The number of unique preferences represented in the table is given as follows:
B. Five.
What are unique outcomes?Unique outcomes are the outcomes that appear in a data-set, however we only count them twice.
For example, if João and Elisa are Buffalo Bills fans, while Chanel and Laura are Atlanta Falcons fans, we have two unique outcomes(Bills and Falcons fans).
Hence the outcomes for this problem is given as follows:
Jamil, Krista and Luke -> voters 1, 3 and 6.Krista, Luke, Jamil -> voter 2.Luke, Krista, Jamil -> voter 4.Jamil, Luke, Krista -> voter 5.Krista, Jamil, Luke -> voter 7.Hence the number of unique outcomes is given as follows:
5.
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Question 6
Sharron gets a total of £1050 each month.
She spends 3/10 of this on rent and 2/3 on food and bills.
How much money does Sharron have remaining?
Show your working out and write your answer in the box below.
Answers
2/3 = 0.66 and 3/10= 0.3
Then multiply both by the total amount
1050 x 0.66 = 693
1050 x 0.3 = 315
Add them both together
693 + 315 = 1008
Then subtract 1008 from 1050
1050-1008 = 42
Two systems of linear equations in two variables, x and y, are given.
System P:
(3x-10y=8
7x+2y=6
The two systems have the same solution..
What are the values of b and c?
b=
System T:
bx - 10 y + 10 y = 38
cx + 10 y = 30
=
C =
Answers
Answer:
Step-by-step explanation:
