Answer:
C. Seasonal variation
Step-by-step explanation:
Distinct pattern around a trend line can be caused by seasonal variation.
Seasonal variation refers to a component of a time series which can be defined as the repetitive and predictable movement around the trend line in a year or less. It is caused by temperature, rainfall, public holiday and cycles of season
Seasonal variation can be detected by measuring the quantity of interest for small time intervals, such as days, weeks, months or quarters.
Firms affected by seasonal variation are usually interested in knowing their performance relative to the normal seasonal variation. They need to identify and measure this seasonality so as to help with planning.
Which graph shows the solution to the equation below? log Subscript 3 Baseline (x + 3) = log Subscript 0.3 (x minus 1)
Answer:
The answer is 20
Step-by-step explanation:
(Edge2020)
Answer:
Its A on edge
Step-by-step explanation:
i took the test. good luck guys!
Find a formula for an for the arithmetic sequence.
Answer:
[tex]a_{n} = a + 2(n-1)[/tex]
Step-by-step explanation:
[tex]a_{5}= a_{1} + 4d \\4 = -4 +4d\\8= 4d\\d= 2\\\\Therefore \\a_{n} = a_{1} + 2(n-1)[/tex]
An integer is 7 more than 2 times another. If the product of the two integers is 60, then find the integers.
Answer:
15 and 4Step-by-step explanation:
Let the first integer be x and the second integer be y. If the first integer is 7 more than 2 times another, then x = 7+2y
The two integers will be y and 7+2y. If the product of both integers is 60, then;
y(7+2y) = 60
7y + 2y² = 60
2y² + 7y -60 = 0
2y²-8y+15y-60 = 0
2y(y-4)+15(y-4) = 0
(2y+15)(y-4) = 0
2y+15= 0 and y-4 = 0
2y = -15 and y = 4
y = -15/2 and 4
Taking the positive integer, y = 4
To get the other integer, we will substitute y = 4 into the equation x = 7+2y;
x = 7+2(4)
x = 7+8
x = 15
Hence the two integrs are 15 and 4
When a survey was conducted among 100 students to find their favorite pizza topping, 45 students voted for pepperoni, 25 for mushrooms, and 30 voted for cheese. If a pie chart were made showing the number of votes for each topping, the central angle for the cheese sector would be __________.
Answer:
The central angle for the cheese sector would be 108 degrees.
Step-by-step explanation:
We know that a pi chart takes the form of a circle so the total angle measure is 360 degrees.
Now we want to find out what ratio of the pie chart that cheese takes up and apply it to the total degree measure.
30 of 100 students voted for cheese:
so the ratio would be 30/100 or 3/10
Now apply that to the total angle measure:
3/10*360 degrees= 108 degrees.
Lily is 14 years older than her little brother Ezekiel. In 8 years, Lily will be twice as old as Ezekiel will be then. What is Lily and Ezekiel's combined age?
Answer:
30 years
Step-by-step explanation:
let the age of Ezekiel be x years
Given
Lily is 14 years older than her little brother Ezekiel
Age of Lily = x + 14 years
Next condition
after 8 years\
age of Ezekiel = x+8
age of Lily = x + 8 +14 = x + 22 years
Given
. In 8 years, Lily will be twice as old as Ezekiel will be then.
Thus,
x + 22 = 2(x+8)
=> x + 22 = 2x + 16
=> 22-16 = 2x -x
=> x = 6
Thus, age of Ezekiel = 8 years
age of lily = 8+14 = 22 years
sum of their age = 22 + 8 = 30 years answer.
Determine the critical value for a 98% confidence interval when the sample size is 12 for the t ‑distribution. Enter the positive critical value rounded to 3 decimal places.
Answer:
+2.718
Step-by-step explanation:
from the question,
the sample size is 12
therefore the degree of freedom,
df = 12 - 1
= 11
alpha = 1 - 0.98
= 0.02
this is because the confidence level is 98%
under the t distribution table, a degree of freedom of 11 and 0.02 alpha level = 2.718
the critical value t* = 2.718
I hope this helps!
Marking BRAINLIEST :D easy radical functions
Answer:
[tex]\large \boxed{\sf \ \ \ -4x^2+8x-8 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
[tex](f-g)(x)=f(x)-g(x)\\\\=3x-1 - (4x^2-5x+7)\\\\=3x-1-4x^2+5x-7\\\\=-4x^2+8x-8[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
What is the length of JM in the given figure?
Answer: B. 30
Step-by-step explanation:
When given a secant and a tangent, the formula is:
exterior of secant × secant = tangent²
KM × JK = LK²
10 × (JM + 10) = 20²
10JM + 100 = 400
10JM = 300
JM = 30
A 25-foot ladder is placed against a building and the top of the ladder makes a 32° angle with the building. How many feet away from the building is the base of the ladder?
Answer:
since the top of the ladder is making the angle, the of the ladder's base from the building is our opposite and the ladder is the hypotnuse,
sin (32)=opp/hyp, 0.52=opp/25, opp=13 ft
Using the quadratic formula y=4x ²-81
Answer:
[tex]\huge\boxed{x=\pm4.5}[/tex]
Step-by-step explanation:
The quadratic formula of
[tex]ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
We have:
[tex]y=4x^2-81\to 4x^2-81=0\\\\a=4;\ b=0;\ c=-81[/tex]
substitute
[tex]x=\dfrac{-0\pm\sqrt{0^2-4(4)(-81)}}{2(4)}=\dfrac{\pm\sqrt{1296}}{8}=\dfrac{\pm36}{8}=\pm4.5[/tex]
A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius,
Each of the central angles has a measure of 40' How many sides does the polygon have?
8
9
010
O 12
Answer:
9 sides
Step-by-step explanation:
The formula for number of sides of a polygon with a given central angle
Number of sides = 360°/ central angle
In the above question, we were told that each of the central angles in the polygon ha a measure of 40°
Hence,
Number of sides = 360°/40°
9 sides.
Therefore, the number of sides that polygon in the above question has is 9 sides.
Steve likes to entertain friends at parties with "wire tricks." Suppose he takes a piece of wire 56 inches long and cuts it into two pieces. Steve takes the first piece of wire and bends it into the shape of a perfect circle. He then proceeds to bend the second piece of wire into the shape of a perfect square. What should the lengths of the wires be so that the total area of the circle and square combined is as small as possible
Answer:
Step-by-step explanation:
Let the length of first piece be L .
Length of second piece = 56 - L
radius of circle made from first piece
R = L / 2π
Area of circle = π R²
= L² / 4π
side of square made fro second piece
= (56 - L) / 4
area of square = ( 56-L)² / 16
Total area
A = L² / 4π + ( 56-L)² / 16
For smallest possible combined area
dA / dL = 0
dA / dL = 2L / 4π - 2( 56-L)/16 =0
2L / 4π = 2( 56-L)/16
.159 L = 7 - .125 L
.284 L = 7
L = 24.65 inch
other part = 56 - 24.65
= 31.35 inch .
Brainliest for the correct awnser!!! Which of the following is the product of the rational expressions shown below?
Answer:
[tex] \frac{ {x}^{2} - 1 }{ {x}^{2} - 25 } [/tex]Step-by-step explanation:
[tex] \frac{x - 1}{x + 5} \times \frac{x + 1}{x - 5} [/tex]
To multiply the fraction, multiply the numerators and denominators separately
[tex] \frac{(x - 1) \times (x + 1)}{(x + 5) \times (x - 5)} [/tex]
Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex] simplify the product
[tex] = \frac{ {x}^{2} - 1 }{ {x}^{2} - 25 } [/tex]
Hope this helps..
Best regards!!
Which one doesn’t belong? Why? Explain.
Answer:
(x - 2)(x + 2)
Step-by-step explanation:
(x - 2)(x + 2) = x² - (2)² [Since (a - b)(a + b) = a² - b²]
= x² - 4
There are two terms in this expression. Therefore, the give term is a binomial.
(2x - 1)(x + 4) = 2x(x + 4) - 1(x + 4) [Distributive property]
= 2x² + 8x - x - 4
= 2x² + 7x - 4
There are three terms in this polynomial. Therefore, the given polynomial is a trinomial.
(x + 4)(x + 1) = x(x + 1) + 4(x + 1)
= x² + x + 4x + 4
= x² + 5x + 4
This polynomial is having 3 terms therefore, it's a trinomial.
(m - 4)(m + 1) = m(m + 1) - 4(m + 1)
= m² + m - 4m - 4
= m² - 3m - 4
Therefore, this polynomial is a trinomial.
Since (x - 2)(x + 2) is a binomial, so this expression doesn't belong to this group.
A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures 3 centimeters by 5 centimeters. Six squares will be cut from the cardboard: one square will be cut from each of the corners, and one square will be cut from the middle of each of the -5 centimeter sides . The remaining cardboard will be folded to form the box and its lid . Letting x represent the side-lengths (in centimeters) of the squares, to find the value of that maximizes the volume enclosed by this box. Then give the maximum volume. Round your responses to two decimal places.
Answer:
x = 0.53 cm
Maximum volume = 1.75 cm³
Step-by-step explanation:
Refer to the attached diagram:
The volume of the box is given by
[tex]V = Length \times Width \times Height \\\\[/tex]
Let x denote the length of the sides of the square as shown in the diagram.
The width of the shaded region is given by
[tex]Width = 3 - 2x \\\\[/tex]
The length of the shaded region is given by
[tex]Length = \frac{1}{2} (5 - 3x) \\\\[/tex]
So, the volume of the box becomes,
[tex]V = \frac{1}{2} (5 - 3x) \times (3 - 2x) \times x \\\\V = \frac{1}{2} (5 - 3x) \times (3x - 2x^2) \\\\V = \frac{1}{2} (15x -10x^2 -9 x^2 + 6 x^3) \\\\V = \frac{1}{2} (6x^3 -19x^2 + 15x) \\\\[/tex]
In order to maximize the volume enclosed by the box, take the derivative of volume and set it to zero.
[tex]\frac{dV}{dx} = 0 \\\\\frac{dV}{dx} = \frac{d}{dx} ( \frac{1}{2} (6x^3 -19x^2 + 15x)) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\\frac{dV}{dx} = \frac{1}{2} (18x^2 -38x + 15) \\\\0 = \frac{1}{2} (18x^2 -38x + 15) \\\\18x^2 -38x + 15 = 0 \\\\[/tex]
We are left with a quadratic equation.
We may solve the quadratic equation using quadratic formula.
The quadratic formula is given by
[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]
Where
[tex]a = 18 \\\\b = -38 \\\\c = 15 \\\\[/tex]
[tex]x=\frac{-(-38)\pm\sqrt{(-38)^2-4(18)(15)}}{2(18)} \\\\x=\frac{38\pm\sqrt{(1444- 1080}}{36} \\\\x=\frac{38\pm\sqrt{(364}}{36} \\\\x=\frac{38\pm 19.078}{36} \\\\x=\frac{38 + 19.078}{36} \: or \: x=\frac{38 - 19.078}{36}\\\\x= 1.59 \: or \: x = 0.53 \\\\[/tex]
Volume of the box at x= 1.59:
[tex]V = \frac{1}{2} (5 – 3(1.59)) \times (3 - 2(1.59)) \times (1.59) \\\\V = -0.03 \: cm^3 \\\\[/tex]
Volume of the box at x= 0.53:
[tex]V = \frac{1}{2} (5 – 3(0.53)) \times (3 - 2(0.53)) \times (0.53) \\\\V = 1.75 \: cm^3[/tex]
The volume of the box is maximized when x = 0.53 cm
Therefore,
x = 0.53 cm
Maximum volume = 1.75 cm³
Find the number. PLEASE HELP!!!
Answer:
X=18
Step-by-step explanation:
Answer:
x = 18or x = - 20
Step-by-step explanation:
Given
x² + 2x = 360 ( subtract 360 from both sides )
x² + 2x - 360 = 0 ← quadratic in standard form
Consider the factors of the constant term (- 360) which sum to give the coefficient of the x- term (+ 2)
The factors are + 20 and - 18, since
20 × - 18 = - 360 and 20 - 18 = 2 , thus
(x + 20)(x - 18) = 0
Equate each factor to zero and solve for x
x + 20 = 0 ⇒ x = - 20
x - 18 = 0 ⇒ x = 18
Thus the number could be 18 or - 20
A heating pad takes 3,030 Watts during each time it is turned on. If you only use it for 34 minutes, how much CO2 was created? Round to 1 decimal.
Answer:
1.7kW/hrStep-by-step explanation:
Using the formula for calculating the energy used up during the process;
Energy used up = Amount of CO₂ created.
Energy used up in the process = Power * Time.
Given Parameters:
Power = 3,030Watts
Converting to Kilowatts, power = 3030/1000 kW
Power (in kW) = 3.03kW
Time taken = 34 minutes
Converting to hour;
Since 60 minutes = 1hr
34minutes = (34/60)hr
34minutes = (17/30)hr
Required:
Energy used up = 3.03 * 17/30
Energy used up = 51.51/30
Energy used up = 1.717 kW/hr
Hence, amount of CO₂ created in kW/hr is 1.7 kW/hr to 1 decimal place.
6th grade math, help me please:)
Answer:
D. 100
Step-by-step explanation:
percents are always out of 100 because that is the maximum. if you are 100% done with your homework, you are completely finished.
show all work!! Plus this is the same question as my last one so you get a total of 25 points if you answer both! Just copy the answer you got from this one and paste it in the other question (the same question)
Answer:
increase of 30
Step-by-step explanation:
1255- 1075 = 180
This is an increase of 180
Divide by the number of numbers which is 6
180 /6 = 30
The mean will increase by 30
Answer:
+30
Step-by-step explanation:
1255- 1075 = 180
180 /6 = 30
help with this will give bralienst pleaseeee
Answer:
D
Step-by-step explanation:
You can test this out with a number.
try dividing 23 by 8:
you will get 2 remainder 7 which works for the condition.
Note: Whenever you divide a number by x(other number) the remainder will always have to be to less than x:
The only one that applies to this aforementioned condition is 8.
Answer:
D
Step-by-step explanation:
The remainder can never be greater than the number by which it is divided
For example:
n = any number
n / 2 -> The remainder will never be greater than 2 (0 < remainder <2)
n / 3 -> The remainder will never be greater than 3 (0 < remainder <3)
n / 4 -> The remainder will never be greater than 4 (0 < remainder <4)
n / 5 -> The remainder will never be greater than 5 (0 < remainder <5)
n / 6 -> The remainder will never be greater than 6 (0 < remainder <6)
..... etc
−x<−29 solve for x answer must me simplified
Answer:
x > 29
Step-by-step explanation:
−x<−29
Divide each side by -1, remembering to flip the inequality
x > 29
Answer:
x > 29 → x ∈ (29; ∞)Step-by-step explanation:
-x < -29 change the signs
x > 29
16/4 + 56 – (3 + 4 - 1) =
Answer:
54Step-by-step explanation:
PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
We have to do operations by the Order of Operations(PEMDAS)
Parentheses:
Addition/Subtraction:
(7 - 1)
(6)
16/4 + 56 - 6
Multiplication/Division
4 + 56 - 6
Addition/Subtraction
60 - 6
54Assume the weight of Valencia oranges is normally distributed with a mean 9 oz and standard deviation 2 oz. What is the probability that a sample of 100 units show a mean weight of less than 9.5 oz?
Answer:
0.99379
Step-by-step explanation:
The first thing to do here is to calculate the z-score
mathematically;
z-score = x-mean/SD/√(n)
From the question x = 9.5 ,
mean = 9, SD = 2 and n = 100
Plugging the values we have;
z-score = (9.5-9)/2/√(100) = 0.5/2/10 = 0.5/0.2 = 2.5
So the probability we want to calculate is;
P(z<2.5)
We use the standard table for this
and that equals 0.99379
Suppose the correlation between height and weight for adults is 0.80. What proportion (or percent) of the variability in weight can be explained by the relationship with height
Answer: 64% of the variability in weight can be explained by the relationship with height.
Step-by-step explanation:
In statistics, Correlation coefficient is denoted by 'r' is a measure of the strength of the relationship between two variables.Coefficient of determination, [tex]r^2[/tex], is a measure of variability in one variable can be explained variation in the other.Here, r= 0.80
[tex]\Rightarrow\ r^2= (0.80)^2=0.64[/tex]
That means 64% of the variability in weight can be explained by the relationship with height.
The variability in weight is 64 % , explained by the relationship with height.
Correlation coefficients are always values between -1 and 1, where -1 shows a perfect, linear negative correlation, and 1 shows a perfect, linear positive correlation.
The correlation coefficient is measure the strength of the linear relationship between two variables in a correlation analysis.
Correlation coefficient is represented by r.
Given that, the correlation between height and weight for adults is 0.80.
[tex]r=0.8[/tex]
The variability in weight is, = [tex]r^{2}=(0.8)^{2} =0.64[/tex]
Thus, the variability in weight is 64 % , explained by the relationship with height.
Learn more:
https://brainly.com/question/24225260
Trade associations, such as the United Dairy Farmers Association, frequently conduct surveys to identify characteristics of their membership. If this organization conducted a survey to estimate the annual per-capita consumption of milk and wanted to be 95% confident that the estimate was no more than 0.5 gallon away from the actual average, what sample size is needed
Complete Question
Trade associations, such as the United Dairy Farmers Association, frequently conduct surveys to identify characteristics of their membership. If this organization conducted a survey to estimate the annual per-capital consumption of milk and wanted to be 95% confident that the estimate was no more than 0.5 gallon away from the actual average, what sample size is needed? Past data have indicated that the standard deviation of consumption of approximately 10 gallons.
Answer:
The sample size is [tex]n = 1537 \ gallons[/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]MOE = 0.5[/tex]
The confidence level is [tex]C = 95[/tex]%
Given that the confidence level is 95% the level of significance is mathematically represented as
[tex]\alpha = 100 - 95[/tex]
[tex]\alpha = 5[/tex]%
[tex]\alpha = 0.05[/tex]
Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table , the values is [tex]Z_{\frac{\alpha }{2} } = 1. 96[/tex]
The reason we are obtaining critical values of
[tex]\frac{\alpha }{2}[/tex]
instead of
[tex]\alpha[/tex]
is because
[tex]\alpha[/tex]
represents the area under the normal curve where the confidence level interval (
[tex]1-\alpha[/tex]
) did not cover which include both the left and right tail while
[tex]\frac{\alpha }{2}[/tex]
is just the area of one tail which what we required to calculate the sample size
Now the sample size is mathematically represented as
[tex]n = \frac{[Z_{\frac{\alpha }{2} }] ^2 * \sigma ^2}{MOE^2}[/tex]
substituting values
[tex]n = \frac{1.96^2 * 10 ^2}{0.5^2}[/tex]
[tex]n = 1537 \ gallons[/tex]
PLEASE HELP WILL GIVE BRAINLIEST PRECALC
Answer:
[tex]270^o[/tex] and [tex]450^o[/tex]
Step-by-step explanation:
Recall that [tex]\frac{\sqrt{2} }{2}[/tex] is a value of the function cosine for the special angles: [tex]135^o[/tex] and [tex]225^o[/tex], then:
[tex]\frac{x}{2} =135^o\\x=270^o\\or\\ \frac{x}{2} =225^o\\x=450^o\\[/tex]
The volume of a certain gas increases by 25%. Complete the following statement.
The new pressure will be
of the original pressure.
120%
75%
80%
125%
Answer: D. 125%
Step-by-step explanation:
An INCREASE of 25% means the original volume (100%) + 25% = 125%
Answer:
[tex]\boxed{125\%}[/tex]
Step-by-step explanation:
[tex]original \: pressure=100\%[/tex]
[tex]increase=25\%[/tex]
[tex]new \: pressure=100\%+25\%=125\%[/tex]
The new pressure will be 125% of the original pressure.
How does a reflection across the y-axis change the coordinates of a shape?
Answer:
When you reflect a shape avross the y-axis, the y-coordinates stay the same, but the x-coordinates turn into its opposites.
Step-by-step explanation:
EXAMPLES:
(3,6)---(reflected over y-axis)--> (-3,6)
(9,2)---(reflected over y-axis)--> (-9,2)
Hope this helped! Brainliest would be really appreciated :)
the average temperature for one week in Alaska are as follows: 10, 6, 9, 2, 0,3. what is the mean of these tempartures ? show all work.
Answer:
5
Step-by-step explanation:
We know that we have to add all numbers then divide it by how many numbers there are. So, 10 + 6 + 9 + 2 + 0 + 3 = 30. 30/6 = 5.
How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains had the following weights (pounds):
69 103 126 122 60 64
Assume that the population of x values has an approximately normal distribution.
A) Use a calculator with mean and sample standard deviation keys to find the sample mean weight x and sample standard deviation s.
B) Find a 75% confidence interval for the population average weight of all adult mountain lions in the specified region.
Answer:
Step-by-step explanation:
From the information given:
Mean [tex]\overline x = \dfrac{\sum x_i}{n}[/tex]
Mean [tex]\overline x = \dfrac{69+103+126+122+60+64}{6}[/tex]
Mean [tex]\overline x = \dfrac{544}{6}[/tex]
Mean [tex]\overline x = 90.67[/tex] pounds
Standard deviation [tex]s = \sqrt{\dfrac {\sum (x_i - \overline x) ^2}{n-1}[/tex]
Standard deviation [tex]s = \sqrt{\dfrac {(69 - 90.67)^2+(103 - 90.67)^2+ (126- 90.67) ^2+ ..+ (64 - 90.67)^2}{6-1}}[/tex]
Standard deviation s = 30.011 pounds
B) Find a 75% confidence interval for the population average weight of all adult mountain lions in the specified region.
At 75% confidence interval ; the level of significance ∝ = 1 - 0.75 = 0.25
[tex]t_{(\alpha/2)}[/tex] = 0.25/2
[tex]t_{(\alpha/2)}[/tex] = 0.125
t(0.125,5)=1.30
Degree of freedom = n - 1
Degree of freedom = 6 - 1
Degree of freedom = 5
Confidence interval = [tex](\overline x - t_{(\alpha/2)(n-1)}(\dfrac{s}{\sqrt{n}})< \mu < (\overline x + t_{(\alpha/2)(n-1)}(\dfrac{s}{\sqrt{n}})[/tex]
Confidence interval = [tex](90.67 - 1.30(\dfrac{30.011}{\sqrt{6}})< \mu < (90.67+ 1.30(\dfrac{30.011}{\sqrt{6}})[/tex]
Confidence interval = [tex](90.67 - 1.30(12.252})< \mu < (90.67+ 1.30(12.252})[/tex]
Confidence interval = [tex](90.67 - 15.9276 < \mu < (90.67+ 15.9276)[/tex]
Confidence interval = [tex](74.7424 < \mu <106.5976)[/tex]
i.e the lower limit = 74.74 pounds
the upper limit = 106.60 pounds