Answer:
Step-by-step explanation:
A linear equation looks like any other equation. It is made up of two expressions set equal to each other. A linear equation is special because: It has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction
The given equation y = x² - 1 is not a linear equation.
What is a linear equation?Linear equations are algebraic equations that have only one constant and are only of the first degree.
Is y = x² - 1 is linear equation?We know that linear equations are of the only first-order(linear) term, but since the given equation has the second-order(linear) term.
Hence, the given equation y = x² - 1 is not a linear equation.
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An employee joined a company in 2009 with a starting salary of $50,000. Every year this employee receives a raise of $1000 plus 5% of the salary of the previous year.
a) Set up a recurrence relation for the salary of this employee n years after 2009.
b) What will the salary of this employee be in 2017?
c) Find an explicit formula for the salary of this employee n years after 2009.
Answer:
(a) The required recurrence relation for the salary of the employee of n years after 2009 is [tex]a_n=1.05a_{n-1}+1000[/tex].
(b)The salary of the employee will be $83421.88 in 2017.
(c) [tex]\therefore a_n=70,000 . \ 1.05^n-20,000[/tex]
Step-by-step explanation:
Summation of a G.P series
[tex]\sum_{i=0}^n r^i= \frac{r^{n+1}-1}{r-1}[/tex]
(a)
Every year the salary is increasing 5% of the salary of the previous year plus $1000.
Let [tex]a_n[/tex] represents the salary of the employee of n years after 2009.
Then [tex]a_{n-1}[/tex] represents the salary of the employee of (n-1) years after 2009.
Then [tex]a_n= a_{n-1}+5\%.a_{n-1}+1000[/tex]
[tex]=a_{n-1}+0.05a_{n-1}+1000[/tex]
[tex]=(1+0.05)a_{n-1}+1000[/tex]
[tex]=1.05a_{n-1}+1000[/tex]
The required recurrence relation for the salary of the employee of n years after 2009 is [tex]a_n=1.05a_{n-1}+1000[/tex].
(b)
Given, [tex]a_0=\$50,000[/tex]
[tex]a_n=1.05a_{n-1}+1000[/tex]
Since 2017 is 8 years after 2009.
So, n=8.
∴ [tex]a_8[/tex]
[tex]=1.05 a_7+1000[/tex]
[tex]=1.05(1.05a_6+1000)+1000[/tex]
[tex]=1.05^2a_6+1.05\times 1000+1000[/tex]
[tex]=1.05^2(1.05a_5+1000)+1.05\times 1000+1000[/tex]
[tex]=1.05^3a_5+1.05^2\times 1000+1.05\times 1000+1000[/tex]
[tex]=1.05^3(1.05a_4+1000)+1.05^2\times 1000+1.05\times 1000+1000[/tex]
[tex]=1.05^4a_4+1.05^3\times 1000+1.05^2\times 1000+1.05\times 1000+1000[/tex]
[tex]=1.05^4(1.05a_3+1000)+1.05^3\times 1000+1.05^2\times 1000+1.05\times 1000+1000[/tex]
[tex]=1.05^5a_3+1.05^4\times1000+1.05^3\times 1000+1.05^2\times 1000+1.05\times 1000+1000[/tex]
[tex]=1.05^5(1.05a_2+1000)+1.05^4\times1000+1.05^3\times 1000+1.05^2\times 1000+1.05\times 1000+1000[/tex]
[tex]=1.05^6a_2+1.05^51000+1.05^4\times1000+1.05^3\times 1000+1.05^2\times 1000+1.05\times 1000+1000[/tex]
[tex]=1.05^6(1.05a_1+1000)+1.05^51000+1.05^4\times1000+1.05^3\times 1000+1.05^2\times 1000+1.05\times 1000+1000[/tex]
[tex]=1.05^7a_1+1.05^6\times1000+1.05^51000+1.05^4\times1000+1.05^3\times 1000+1.05^2\times 1000+1.05\times 1000+1000[/tex]
[tex]=1.05^7(1.05a_0+1000)+1.05^6\times1000+1.05^51000+1.05^4\times1000+1.05^3\times 1000+1.05^2\times 1000+1.05\times 1000+1000[/tex]
[tex]=1.05^8a_0+1.05^7\times1000+1.05^6\times1000+1.05^51000+1.05^4\times1000+1.05^3\times 1000+1.05^2\times 1000+1.05\times 1000+1000[/tex]
[tex]=1.05^8a_0+(1.05^7+1.05^6+1.05^5+1.05^4+1.05^3+1.05^2+1.05+1)1000[/tex]
[tex]=1.05^8 \times 50,000+\frac{1.05^8-1}{1.05-1}\times 1000[/tex]
[tex]=1.05^8\times 50,000+20,000(1.58^8-1)[/tex]
[tex]=70,000\times 1.05^8-20,000[/tex]
≈$83421.88
The salary of the employee will be $83421.88 in 2017.
(c)
Given, [tex]a_0=\$50,000[/tex]
[tex]a_n=1.05a_{n-1}+1000[/tex]
We successively apply the recurrence relation
[tex]a_n=1.05a_{n-1}+1000[/tex]
[tex]=1.05^1a_{n-1}+1.05^0.1000[/tex]
[tex]=1.05^1(1.05a_{n-2}+1000)+1.05^0.1000[/tex]
[tex]=1.05^2a_{n-2}+1.05^1.1000+1.05^0.1000[/tex]
[tex]=1.05^2(1.05a_{n-3}+1000)+(1.05^1.1000+1.05^0.1000)[/tex]
[tex]=1.05^3a_{n-3}+(1.05^2.1000+1.05^1.1000+1.05^0.1000)[/tex]
...............................
.................................
[tex]=1.05^na_{n-n}+\sum_{i=0}^{n-1}1.05^i.1000[/tex]
[tex]=1.05^na_0+1000\sum_{i=0}^{n-1}1.05^i[/tex]
[tex]=1.05^n.50,000+1000.\frac{1.05^n-1}{1.05-1}[/tex]
[tex]=1.05^n.50,000+20,000.(1.05^n-1)[/tex]
[tex]=(50,000+20,000)1.05^n-20,000[/tex]
[tex]=70,000 . \ 1.05^n-20,000[/tex]
[tex]\therefore a_n=70,000 . \ 1.05^n-20,000[/tex]
The employee’s salary is dictated by the recurrence relation where S_n = S_(n-1) + 1000 + 0.05*S_(n-1). This formula is used to iteratively calculate the salary increase each year, providing an accurate salary for any given year after 2009. However, an explicit formula for this scenario may not be straightforward due to the increment's dependency on the previous year's salary.
Explanation:The subject of this problem is recurrence relation, a mathematical concept that uses a formula to establish the relationship between successive terms in a numerical sequence. The employee's salary problem can be expressed by the following recurrence:
Part a)
S_n = S_(n-1) + 1000 + 0.05*S_(n-1), where S_n represents the salary in year n and S_(n-1) refers to the prior year's salary.
Part b)
To calculate the salary in 2017, you start with the initial salary in 2009 and apply the formula for each subsequent year. After doing this for 8 years (2017 being 8 years past 2009), the salary is found to be $60,796.32.
Part c)
Unfortunately, a simple explicit formula may not exist for this scenario because of percentage increment based on the previous year's salary. However, the salary can be accurately calculated for any given year using the recurrence relation established in Part (a).
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Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 212121 expected that they would go on 333 vacations in the next year. There are 516516516 Getaway Travel Agency clients. Based on the data, what is the most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 333 vacations in the next year? Choose 1 answer: Choose 1 answer:
Answer:
241 clients
Step-by-step explanation:
His problem can be solved using the principle of proportionality or rule three.
We can take advantage of the proportion between respondents who tell us the number of respondents and how many expect to go on vacation and the total number of workers, therefore:
Respondents /// Whole company
Vacations 21 x
Total 45 516
then x equals:
x = (516 * 21) / (45)
x = 240.8
x = 241 clients
This means that approximately 241 clients expect to go on vacation throughout the company.
Answer:
241
Step-by-step explanation:
its the answer for khan academy
hope this helps
the loudness, L, measured i in decibels (Db), of a sound intencity, I, measured in watts per square meter, is defined as L=10logI/I0, where I0=10^-12 and is the least intense sound a human ear can hear. what is the approximate loudness of a rock concert with a sound intensity of 10^-1
The approximate loudness of a rock concert with a sound intensity of 10⁻¹
is 110 Db.
Loudness
Since the loudness L measured in decibel (Db) of a sound intensity I is given by
L = 10㏒(I/I₀) where
I = intensity of sound and I₀ = least intense sound human ear can hear = 10⁻¹².Since we want to determine the approximate loudness of a rock concert with a sound intensity of 10⁻¹. So, I = 10⁻¹
Loudness of the rock concertSo, substituting the values of the variables into L, we have
L = 10㏒(I/I₀)
L = 10㏒(10⁻¹/10⁻¹²)
L = 10㏒10¹¹
L = 11 × 10㏒10
L = 110㏒10
L = 110 (since ㏒10 = 1)
So, approximate loudness of a rock concert with a sound intensity of 10⁻¹
is 110 Db.
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Answer:110
Step-by-step explanation:
took the test
In circle O, the radius is 4, and the
measure of minor arc AB is 120
degrees. Find the length of minor
arc AB to the nearest integer.
Answer:
The length of minor arc AB is 8
Step-by-step explanation:
In this question, we are asked to calculate the length of the minor arc.
Mathematically, the length of an arc can be calculated using the formula below;
Length of an arc = θ/360° × 2πr
Where θ is the angle subtended by the arc which is 120° according to the question, r is the radius of the circle which is 4 according to the question.
Plugging these values, we have
Length of minor arc AB = 120/360 × 2 × 22/7 × 4 = 8.34 = 8 to the nearest integer
The length of the minor arc AB in circle O with a radius of 4 and a central angle of 120 degrees, rounded to the nearest integer, is 8 units.
Explanation:In the context of circle geometry, the length of a minor arc can be calculated by using the formula: arc length = (central angle/360) x (2π x radius). Given in the problem, we have a radius of 4 units and a minor arc with a measure of 120 degrees. Substituting the given values into the formula, the arc length becomes (120/360) x (2π x 4) which simplifies to (1/3) x (8π) = 8π/3 units.
However, the question asks for the minor arc length to the nearest integer. In this case, you would calculate 8π/3 which approximately equals 8.37758, but when rounded to the nearest integer, it would be 8.
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20 = r + 11
Solve the equation.
Answer: r = 9
Step-by-step explanation:
Simplifying
20 = r + 11
Reorder the terms:
20 = 11 + r
Solving
20 = 11 + r
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-1r' to each side of the equation.
20 + -1r = 11 + r + -1r
Combine like terms: r + -1r = 0
20 + -1r = 11 + 0
20 + -1r = 11
Add '-20' to each side of the equation.
20 + -20 + -1r = 11 + -20
Combine like terms: 20 + -20 = 0
0 + -1r = 11 + -20
-1r = 11 + -20
Combine like terms: 11 + -20 = -9
-1r = -9
Divide each side by '-1'.
r = 9
Simplifying
r = 9
Answer:
r=9
Step-by-step explanation:
Step 1: Flip the equation
r + 11 = 20
Step 2: Subtract 11 from both sides
r + 11 - 11 = 20 - 11
A researcher wishes to estimate, with 95% confidence, the proportion who own a laptop. A previous study shows that 70% of those interviewed had a laptop computer. How large a sample should the researcher select so that the estimate will be within 3% of the true proportion?
Answer:
The sample needs to be at least n = 897 in size.
Step-by-step explanation:
Given
Confidence Level = 95%
Let p = those who had laptop
p = 70% = 0.7
Margin of Error = 3% = 0.03
Let n = required sample.
To estimate the proportion of laptop owners with 95% confidence, first the z-value is calculated. [tex]z_{(a/2)}[/tex]
Given that confidence level = 95%
α = 1 − 95 %
α = 1 − 0.95
α = 0.05
So;
[tex]z_{(a/2)}[/tex] = [tex]z_{(0.05/2)}[/tex]
[tex]z_{(a/2)}[/tex] = [tex]z_{(0.025)}[/tex]
From the z table
[tex]z_{(0.025)} = 1.96[/tex]
Using formula for margin of error
[tex]M.E = z_{(0.025)} * \sqrt{\frac{pq}{n} }[/tex]
where p + q =1
q = 1 - p
q = 1 - 0.7
q = 0.3
So,
[tex]M.E = z_{(0.025)} * \sqrt{\frac{pq}{n} }[/tex]
[tex]0.03 = 1.96 * \sqrt{\frac{0.7 * 0.3}{n} }[/tex] --- Make n the subject of formula
First, square both sides
[tex]0.03^{2} = 1.96^{2} * {\frac{0.7 * 0.3}{n} }[/tex] ------ Multiply both sides by [tex]{\frac{n}{0.03^{2}}}[/tex]
[tex]0.03^{2} * {\frac{n}{0.03^{2}}} = 1.96^{2} * {\frac{0.7 * 0.3}{n} } * {\frac{n}{0.03^{2}}}[/tex]
[tex]n = 1.96^{2} * {\frac{0.7 * 0.3}{0.03^{2}} }[/tex]
[tex]n = {\frac{0.806736}{0.0009} }[/tex]
[tex]n = 896.473[/tex]
Hence, the sample needs to be at least n = 897 in size.
The Students at Winwood elementary school collected 574 cans of food in 20 days for a food drive. What was average number of cans of food collected each day
Answer:
About 29
Step-by-step explanation:
575 cans of food / 20 days = About 28.75 cans a day, rounded to 29.
Answer:
28.7 cans
Step-by-step explanation:
We want to find the unit rate for cans per day
To find this, divide the number of cans by the number of days
cans/days
574/20
28.7
About 28.7 cans per day
Hello, please look at the attachment and do the following :
A) Complete the ven diagram. ( what number goes in the middle and what number goes to the bottom left of the diagram out of the circle?).
B) How many students study only french
C) How many students learn spanish
Answer:
F25 A B S14 BOTH S AND F IS 32IN THE MIDDLE
Step-by-step explanation:
14 study Spanish, 25 study French.
71 total students - 14 - 25 = 32
A 32 would be put in the middle where the circles overlap, which means 32 students are studying both languages.
B) only French would be the 25 shown in the circle marked F
C) 14 + 32 = 46 total students study Spanish
What is f(−2) for f(x) = 3x−5
Step-by-step explanation:
Given
f(x) = 3x - 5
f(-2) = 3 * (-2) - 5
= -6 -5
= - 11
Answer:
f(×)=
Step-by-step explanation:
[tex] f(- 2 )= 3( - 2) - 5 [/tex]
[tex] - 2 = - 6 - 5[/tex]
[tex] - 2 = - 11[/tex]
A box contains three plain pencils and 5 pens. A second box contains three colored pencils and three crayons. One item from each box is chosen at random. What is the probability that a pen from the first box and a crayon form the second box are selected?
Answer:
Therefore the probability that a pen from the first box and a crayon from the second box are selected is [tex]\frac5{16}[/tex]
Step-by-step explanation:
Probability:
The ratio of the number of favorable outcomes to the number all possible outcomes of the event.
[tex]Probability=\frac{\textrm{The number favorable outcomes}}{\textrm{The number all possible}}[/tex]
Given that,
Three plain pencils and 5 pens are contained by the first box.
Total number of pens and pencils is =(3+5)=8
The probability that a pen is selected from the first box is
=P(A)
[tex]=\frac{\textrm{The number pens}}{\textrm{Total number of pens and pencils}}[/tex]
[tex]=\frac{5}{8}[/tex]
A second box contains three colored pencils and three crayons.
Total number of pencils and crayons is =(3+3)=6
The probability that a crayon is selected from the second box is
=P(B)
[tex]=\frac{\textrm{The number of crayon}}{\textrm{Total number of crayons and pencils}}[/tex]
[tex]=\frac{3}{6}[/tex]
Since both events are mutually independent.
The required probability is multiple of the events
Therefore the required probability is
[tex]=\frac58\times \frac36[/tex]
[tex]=\frac5{16}[/tex]
Question Help
A bag contains 7 green marbles and 35 white marbles. If a representative sample contains 2 green
marbles, then how many white marbles would you expect it to contain? Explain.
Answer:
10
Step-by-step explanation:
35/7 = 5, so the white marbles appears 5 times often.
If we have 2 green marbles and we want to maintain the same ratio of green to white marbles (so the same assumption that white appears 5 times often) we need to multiply that by 5.
Solve the following expressions:
1. 3² + 4²
2. 2² + 5²
3. 10² - 8²
4. √81
5. √144
6. √225
Step-by-step explanation:
3² + 4² = 9 + 16 = 252² + 5² = 4 + 25 = 2910² - 8² = 100 - 64= 36√81 = √9² = 9√144= √12² = 12√225 = √15² = 15Hope it will help you :)
Select the correct answer.
Sam's height is 15 centimeters less than 2 times Martha's height. If Sam Is 185 centimeters tall, and Martha's height is x, the relationship
between the heights can be represented by the equation 2x - 15 = 185. What Is Martha's height?
A 90
B. 95
°C 100
D. 105
Reset
Next
m.com/assessments delivery/ua/mt/launch/49072603/849589754/aHROCHM6Ly9m MSShCHAUZWRIZW50dW0uY29tL2xYXJEZXIvc2Vjb25kYXJ5L2xYXJuaW5ndGF0ac9pbmRleCBOOTA3MjYwMz9iYWNT
Answer:
C. 100 cm
Step-by-step explanation:
2x-15=185
+15 +15
2x=200
/2 /2
x=100
what is 62 kilograms decreased by 32%
Answer:
0.68 * 62 = 42.16 kilos
Step-by-step explanation:
0.32 * 62 = 19.84
62 - 19.84 = 42.16 kilos
0.68 * 62 = 42.16 kilos
Answer:
42.16kg
Step-by-step explanation:
32% of 62= 19.84
62-19.84=42.16
Somebody please help me with this
Like charges repel and unlike charges attract. Coulomb’s law states that the force F of attraction or repulsion between two charges, q1 and q2 is given by F= kq1q2/f^2, where k is constant and r is the distance between the positive charges. Suppose you were to graph F as a function of r for two positive charges
Coulomb's law explains the force between two charges. The force between two identical charges decreases as the distance between them increases. If graphed, this relationship will form a hyperbola.
Explanation:In physics, particularly electromagnetism, Coulomb's law explains the force between two charges. As per the law, the force (F) between two charges (q1 and q2) separated by a distance (r) is given by the equation, F = kq1q2/r^2. Here, k is Coulomb's constant.
From this formula, we can conclude that force is inversely proportional to the square of the distance between two charges. In other words, as the distance (r) between two identical positive charges increases, the force (F) of repulsion between them decreases.
If we were to graph F as a function of r for two positive charges, the graph would be a hyperbola. This is because the equation represents an inverse square relationship. The force will decrease rapidly as the distance increases and is indicated by a curve that starts high when r is small and approaches zero as r gets larger.
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PLEASE HELP! Which statements are true about three-dimensional figures? Select two options.
A) A sphere has no bases.
B) A prism must have a triangular or rectangular base.
C) A square pyramid must have lateral faces that are squares.
D) A triangular prism has two triangular bases and four triangular lateral faces.
E) The lateral face of a cylinder is in the shape of a rectangle.
Answer:
A) A sphere has no bases.
E) The lateral face of a cylinder is in the shape of a rectangle.
The correct statements which are true about three-dimensional figures are,
A) A sphere has no bases.
E) The lateral face of a cylinder is in the shape of a rectangle.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
To find correct statements which are true about three-dimensional figures.
Now, We know that;
In a sphere, it has no base.
And, In a cylinder, The lateral face is in the shape of a rectangle.
Thus, The correct statements which are true about three-dimensional figures are,
A) A sphere has no bases.
E) The lateral face of a cylinder is in the shape of a rectangle.
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Which value of x satisfies the equation?
1.6+x=4.8
Answer:
x=3.2
Step-by-step explanation:
This question is asking us to solve for x, and to do that, we need to get the variable by itself.
1.6+x=4.8
Subtract 1.6 from both sides
1.6-1.6+x=4.8-1.6
x=3.2
So, 3.2 is the value of x that satisfies the equation.
A 1,127-foot tree has grown at a constant rate each year. In the equation below, t is the age of the tree in years.
23t = 1,127
What is the unit rate in the equation above?
Answer:
Your answer will be 17
Step-by-step explanation:
Simply multiply and take away the t and add into the 9+ after your equation
AB and DE are chords that intersect at point F inside circle C as shown. If the measure of arc EA = 40° and the measure of arc DB = 70°.
What is the measure of ∠AFE?
Select one or more:
a. 700
b. 400
c. 1250
d. 550
Answer:
[tex]d) \ 55\textdegree[/tex]
Step-by-step explanation:
-we apply the relationship of chords intersecting within a circle:
-when two chords intersect to form a vertex of an angle within a circle, the measure of the angle is equal to one-half the sum of the measures of the two arcs intercepted by the angle and its vertical angle:
[tex]\angle AFE=0.5(arc\ EA +arc \ BD)\\\\=0.5(40+70)\\\\=55\textdegree[/tex]
Hence, the measure of ∠AFE is 55°
A rectangle has a lenght that is 9 inches less than twice its width. The area of the rectangle is 180 square inches. What is the width of the rectangle?
Answer:
12 inches
Step-by-step explanation:
In this question, we are asked to calculate the width of a rectangle having a length 9 inches less than twice it’s width and given the area of the rectangle.
First, we identify that the length is 9 inches less than twice the width
meaning if length is l and width is w; then l = (2w-9) inches
Mathematically the area of the rectangle is l * w ; meaning w * (2w-9)
This has a value equal to 180
w * (2w-9) = 180
opening the bracket;
2w^2 -9w = 180
2w^2 -9w - 180 = 0
solving this quadratic equation;
w = 12 or -7.5
since width cannot be negative, w = 12 inches
Answer:
The width of the triangle is 18.65 inches
Step-by-step explanation:
From the question, we have;
Length, L = Width, W - 9
Also the area is given by
L × W = 180
Therefore, we have
(W - 9) × W= 180
W² - 9·W = 180
W² - 9·W - 180 = 0
Factorizing or solving with quadratic formula
[tex]\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}[/tex]
a = 1
b = -9 and
c = -180
we get
(W + 9.65)(W-18.65) =0
Therefore W = - 9.65 or 18.65
Therefore, the Width, W = 18.65 and the length = W - 9 = 18.65 - 9 =9.65
The width of the triangle = 18.65 inches.
What is the following product?
Answer:
b
Step-by-step explanation:
The square root of b times the square root of b is simply b.
b^(1/2)*b^(1/2) = b^1 = b
compare 9 X 10^4 to 3 X 10^2
Step-by-step explanation:
[tex]9 \times {10}^{4} = 900 \times {10}^{2} \\ \\ 3 \times {10}^{2} \\ \\ \because \: 900 > 3 \\ \purple{ \boxed{ \bold{\therefore \: 9 \times {10}^{4} > 3 \times {10}^{2}}}}[/tex]
n^2-5n-24
show all work
Answer:
-3,8
Step-by-step explanation:
1) we can factor this since this quadratic function is in the form of
ax^2+bx+c
where we need to find out what*what=c
and what+what=b
since c is -24 and b is -5 we need to figure out the factors of -24 which equal -5:
-8+3=-5
and
-8*3=-24
hence -8 and 3 is our factors, next we will substitute them in place of "b"
so
n^2-8n+3n-24
split this equation in two groups:
group 1) n^2-8n
group 2) 3n-24
gcf of group 1= n
so
n(n-8)
gcf of group 2: 3
so
3(n-8)
next take numbers outside of parentheses and group them together:
so (n+3) (n-8)=0
since anything times 0 is equal to 0, either (n+3) is 0 or (n-8) is 0
so
n+3=0
n=-3
n-8=0
n=8
hence n=-3,8
Hope this helps!
Which of the following statements are correct when deciding whether to use the z or the t distribution?A. Use z when we have a normal population and we know the standard deviation B. Use t when the population is normal and the population standard deviation is not known
Using normal distribution concepts, we can conclude that the correct statement is:
B. Use t when the population is normal and the population standard deviation is not known
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Both the z and the t distributions are for normal variables.If the population standard deviation is known, the z-distribution is used.If the population standard deviation is now known, only the sample standard deviation, the t-distribution is used.Option A is wrong as the standard deviation is know in both cases, only in one case it is the sample(t-distribution) and the other is the population(z-distribution).Thus, option B is correct.A similar problem is given at https://brainly.com/question/21774082
While playing a trivia game Adam answer eight questions correct in the first half and two questions correct in the second half if each question was worth eight points what's his final score
Answer:
80 points
Step-by-step explanation:
First Half: Second Half: Total Right Answers
8 questions right + 2 questions right = 10 questions right
10*8 points a piece = 80 points
Thus, his total score is 80 points.
To find Adam's final score, we need to calculate the total points from both the first and second halves of the trivia game. Each question is worth 8 points.
First HalfAdam answered 8 questions correctly:
8 questions × 8 points per question = 64 points
Second HalfAdam answered 2 questions correctly:
2 questions × 8 points per question = 16 points
Total ScoreNow, we add the points from both halves:
First half: 64 pointsSecond half: 16 pointsTotal Score = 64 points + 16 points = 80 points
Therefore, Adam's final score in the trivia game is 80 points.
A convenience sample of forty people is taken from a population. Which of the following is a reason why you can not make a statistical inference on the population?
The sample size is not large enough.
The population isn’t given to be approximately normal.
The sample is not given to be normally distributed.
The wrong sampling method was used.
Answer:
The wrong sampling method was used.
Step-by-step explanation:
In convenience sampling, first few responses are considered and not all parameters are considered. This is the easiest method of sampling but least effective
(D) The wrong sample method was used.
Sample:The term 'sample' can mean -
A sample is a statistical term for a portion of a population.A digital discrete sample of a continuous analog signal is called a sample (signal).A sample, a specimen, or a little amount of anything.An illustration showing the meeting point of a color channel and a pixel.Sample history is an abbreviation for the questions that emergency medical personnel should ask.A product sample is a small amount of a consumer good that is provided to a customer so that they can test it out before making a purchase.Statistics:The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem. Populations can refer to a variety of groupings of individuals or things, such as "every individual living in a nation" or "each atom making up a crystal." Every facet of data, including the planning of data collecting in terms of the layout of surveys and experiments, is covered by statistics.Therefore, the correct answer if the problem is (D) the wrong sample method was used.
Know more about statistics here:
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This table gives a few (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane.
xxx yyy
-79−79minus, 79 -68−68minus, 68
-68−68minus, 68 -51−51minus, 51
-57−57minus, 57 -34−34minus, 34
What is the xxx-intercept of the line?
Answer:
(-35, 0)
step-by-step explanation:
The x-intercept of the line does not exist.
Explanation:The x-intercept of a line represents the point where the line intersects the x-axis. To find the x-intercept, we need to look for a point on the graph where y is equal to zero. Based on the given table, there is no pair of coordinates where the y value is equal to zero. Therefore, the line does not intersect the x-axis and the x-intercept does not exist.
Find the measure of an angle whose supplement is sixteen times its complement. Hint: Supplement and complement of an angle are (180-0) and (90-0) respectively.
Answer:
The angle is 84 degrees
Step-by-step explanation:
Let's call the angle by 'x'.
the supplement of x is equal to 180-x, and the complement of x is equal to 90-x.
If the supplement is sixteen times the complement, we can write the following equation:
(180 - x) = 16 * (90 - x)
180 - x = 1440 - 16x
16x - x = 1440 - 180
15x = 1260
x = 84
The angle is 84 degrees.
Answer:
84⁰
Step-by-step explanation:
Complement = 90 - x
Supplement = 180 - x
Given:
180 - x = 16(90 - x)
180 - x = 1440 - 16x
15x = 1260
x = 84
A six-pack of soda is on sale for 2.46. Find the cost of one can of soda and drop the appropriate value into the answer blank.
$0.41
$0.50
$0.45
$0.38
Answer:
$0.41
Step-by-step explanation:
Take the total cost and divide by the number of cans
2.46/ 6
.41
The price is 41 cents per can or$.41