Answers
The critical values and shecht the rejection reglues for a theo-tall tent, in a Z procedure with significance level isterse is (-1.812,1.812).
[tex]$\alpha=0.07$[/tex] This is two tailed lest
critical values are [tex]$\pm 1.812$[/tex]
What is critical values ?
A critical value is a value used as a cut-off to indicate the beginning of a zone where the test statistic from a hypothesis test is unlikely to decrease. In hypothesis testing, the crucial value and the resulting test statistic are compared to decide whether or not the null hypothesis has to be rejected.
For hypothesis testing, the crucial value graphically separates the graph into the acceptance region and the rejection zone. A test statistic's statistical significance should be verified. We will learn more about the critical value in this article, including its types, formula, and calculation method.
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Related Questions
Let a,b,c be positive real numbers. Prove the inequality
[tex]\displaystyle\\\bf\frac{(a+b)^2}{c} +\frac{c^2}{a} \geq 4b[/tex]
Answers
Answer: proved
Step-by-step explanation:
Prove the inequality:
[tex]\displaystyle\\\frac{(a+b)^2}{c} +\frac{c^2}{a} \geq 4b\ \ \ \ \ a > 0\ \ \ \ \ b > 0\ \ \ \ \ c > 0\\[/tex]
Multiply both parts of the inequality by ac (a>0, c>0):
[tex]a(a+b)^2+c*c^2\geq 4abc[/tex]
Simplify the left side of the inequality using the Cauchy inequality:
[tex]\boxed {t+v\geq 2\sqrt{tv} }[/tex]
[tex]a(a+b)^2+c(c^2)\geq 2\sqrt{a(a+b)^2c(c^2)} \\\\a(a+b)^2+c(c^2)\geq 2(a+b)c\sqrt{ac} \\\\a(a+b)^2+c(c^2)\geq 2(ac+bc)\sqrt{ac}\ \ \ \ \ (1)[/tex]
Simplify the right side of the inequality using the Cauchy inequality:
[tex]ac+bc\geq 2\sqrt{acbc} \\\\ac+bc\geq 2\sqrt{abc^2} \\\\ac+bc\geq 2c\sqrt{ab}[/tex]\ \ \ \ \ (2)
Substitute expression (2) into expression (1):
[tex]a(a+b)^2+c(c^2)\geq 2*2c\sqrt{ab} \sqrt{ab} \\\\a(a+b)^2+c(c^2)\geq4abc[/tex]
Hence,
[tex]\displaystyle\\\frac{(a+b)^2}{c} +\frac{c^2}{a} \geq 4b[/tex]
If a snowball melts so that its surface area decreases at a rate of 4 cm²/min, find the rate at which the diameter
decreases when the diameter is 39 cm.
Answers
The surface area of a snowball can be represented by the formula:
A = 4πr^2
where A is the surface area, r is the radius of the snowball, and π is a constant approximately equal to 3.14.
If the surface area of the snowball decreases at a rate of 4 cm²/min, we can represent this as a derivative:
dA/dt = -4
where dA/dt is the rate of change of the surface area with respect to time, and t is the time in minutes.
The radius of the snowball is equal to half the diameter, so we can represent the radius as:
r = d/2
where d is the diameter of the snowball.
Substituting this expression for r into the formula for the surface area and differentiating with respect to time, we get:
dA/dt = 8π(d/2)dr/dt
Setting this expression equal to -4 and solving for dr/dt, we get:
dr/dt = -4 / (8π)
= -0.5 / π
When the diameter of the snowball is 39 cm, the rate at which the diameter decreases is:
dr/dt = -0.5 / π
= -0.15915494309189533576888376337251
Therefore, the rate at which the diameter of the snowball decreases when the diameter is 39 cm is approximately -0.159 cm/min.
I hope this helps
In a certain chemical, the ratio of zinc to copper is 4 to 17 . A jar of the chemical contains 561 of copper. How many grams of zinc does it contain?
Answers
Answer:
7,293 if I am correct.
Hope this helps!
What inverse trig function would be used to solve for angle Z?
Answers
The inverse sine trig function would be used to solve for angle Z .
What is meant by inverse sine ?In the right angle triangle the ratio of the opposite to the hypotenuse of any acute <A is called the sine of < A
The inverse of the sine function, also known as the arcsine function, returns the angle's value when the sine function's opposite side and hypotenuse ratio are equal. It produces the angle's value.
The opposite of the sine function is the inverse sine function, also known as arcsine. Due to the fact that the sine of an angle (or sine function) is equal to the ratio of the opposite side to the hypotenuse, the sine inverse of this ratio will provide the angle's measurement.
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The populations of 2 cities grow according to the exponential functions. Pi(t) = 120 e 0.011 t P2(t)= 125 e 0.007 t Where, P₁ and P2 are the populations (in thousands) of cities A and B respectively. t is the time in years such that t is positive and t = 0 corresponds to the year 2004. When were the populations of the two cities equal and what were their populations?
Answers
Hello,
I hope you and your family are doing well!
To find when the populations of the two cities are equal, we can set P1(t) = P2(t) and solve for t:
120 e 0.011 t = 125 e 0.007 t
Dividing both sides by e 0.007 t:
120 = 125 * (e 0.011 t / e 0.007 t)
Using the property that e^(a+b) = e^a * e^b, we have:
120 = 125 * e^(0.011 t - 0.007 t)
120 = 125 * e^(0.004 t)
Dividing both sides by 125:
1.2 = e^(0.004 t)
Taking the natural logarithm of both sides:
ln 1.2 = ln e^(0.004 t)
ln 1.2 = 0.004 t
t = ln 1.2 / 0.004
t = approximately 8.44 years
Therefore, the populations of the two cities were equal approximately 8.44 years after 2004, or in the year 2012. To find the population of the two cities at this point in time, we can substitute t = 8.44 into either of the exponential functions:
P1(8.44) = 120 e 0.011 * 8.44 = approximately 123.88 thousand
P2(8.44) = 125 e 0.007 * 8.44 = approximately 123.88 thousand
Therefore, the populations of the two cities were equal to approximately 123.88 thousand when they were equal.
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Happy Holidays!
*Triangle not drawn to scale*
- Which angle is the biggest based on the sides of the triangles below? Explain your reasoning.
Answers
Using Triangle inequality theorem Angle C of triangle CBT will be the biggest angle.
What do you mean by triangle inequality?Triangle inequality. A theorem in Euclidean geometry that states that the sum of any two sides of a triangle is greater than or equal to the third side. In symbol a + b ≥ c. Basically, the theorem states that the shortest distance between two points is a straight line.
In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides of it must be greater than or equal to the length of the remaining sides.
In the given triangle CBT , CB = 24 cm BT = 35 cm CT = 30 cm
We know angle opposite to larger side will be greatest therefore, angle C of triangle CBT will be the biggest angle
.
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help please easy math proportional relationships, due now please help needed
Answers
By knowing that the cost equation must be a proportional relation, we will find that the equation is:
y = $0.64*x
Which equation can be used to find the cost of x pounds?
The cost equation is proportional, if we define y as the cost and x as the number of pounds, the equation is something like:
y = k*x
We know that for (5 + 1/2) pounds the cost is $3.52, then we can replace these values in the equation above to get.
$3.52 = k*(5 + 1/2)
$3.52/(5 + 1/2) = k = $0.64
Then the cost equation for x pounds of potatoes is:
y = $0.64*x
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The measurement of the radius of the end of a log is found to be 8 inches, with a possible error of 1/8 inch. Use differentials to approximate the possible propagated error in computing the area of the end of the log.
Answers
By using the differentials to approximate the possible propagated error in computing the area of the end of the log is ±2π
The measurement of the radius of the end of a log = 8 inches
The possible error of radius = 1/8 inches
The area of cross section of the end of the log = πr^2
A = πr^2
dA / dr = 2πr
dA = 2πr(dr)
Here the possible error of radius = 1/8 inches
dr = 1/8 inches
Substitute the values in the equation
dA = 2π × 8 × (± 1/8)
= ±2π
Therefore, the possible propagated error in computing the area is ±2π
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what is the value of x
Answers
The value of x is [tex]x=\frac{268}{3}[/tex] = 89.33 degree.
How do you find value of x?
The algebraic expression should often take one of the following forms: addition, subtraction, multiplication, or division. Bring the variable to the left and the remaining values to the right to determine the value of x. To determine the outcome, simplify the values. The letter "x" is frequently used in mathematics to denote an unknowable amount or variable. Similar to how X-rays confounded their discoverer and Malcolm X adopted the sign to stand for the lost name of his African ancestry, x also denotes the unknown in English.
x+44+x+3+x+45=360
Group like terms
x+x+x+44+3+45=360
Add similar elements: x+x+x=3 x
3 x+44+3+45=360
Add the numbers: 44+3+45=92
3 x+92=360
Move 92 to the right side
3 x=268
Divide both sides by 3
[tex]\frac{3 x}{3}=\frac{268}{3}[/tex]
Simplify
[tex]x=\frac{268}{3}[/tex]
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Which graph shows a proportional relationship between the number of hours of renting a lawn mower and the total amount spent to rent the lawn mower? PLEASE HELP! ASAP
Answers
Proportional - passes through origin & is linear
The length of a rectangle is twice the width. The area of the rectangle is 80 square inches. What irrational number represents the width of the rectangle?
Answers
The square root of 40 is approximately 6.324555320336759. This is the width of the rectangle.
What is a rectangle?
It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral. It occupies area in two-dimensional planner geometry.
The area of a rectangle is given by the formula A = lw,
where A is the area, l is the length, and w is the width.
We are told that the length of the rectangle is twice the width, so we can write the formula as follows:
A = 2w * w
We are also told that the area of the rectangle is 80 square inches, so we can substitute this value into the formula:
80 = 2w * w
We can rearrange this equation to solve for w:
80 = 2w²
w² = 40
The square root of 40 is an irrational number, so the width of the rectangle is an irrational number.
Hence, To express this number in decimal form, the square root of 40 is approximately 6.324555320336759. This is the width of the rectangle.
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Graphing the line with.....
Can you also mark the two points on the graph.
Answers
The graph of the linear equation y = (3/2)*x - 7
Can be seen in the image at the end.
How to graph the linear given equation?A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
Here we know that the slope is -2 and the y-intercept is -4, then the linear equation is:
y = -2x - 4
To graph that line we need to find two points on it, to get the points we need to replace the value of x.
if x = 0
y = -2x - 4
y = -4
So we have the point (0, -4)
And if x = 1:
y = -2*1 - 4
y = -6
So we have the point (1, -6)
Now we just need to graph these two points and connect them with a line.
You can see the graph below.
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An animal shelter has 8 puppies. If the puppies are 32% of the total dog and cat population, how many dogs and cats are in the animal shelter?
Answers
well, the total amount is really "x", which oddly enough is the 100%, but we also know that 32% of that is 8, hmmmm
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 8& 32 \end{array} \implies \cfrac{x}{8}~~=~~\cfrac{100}{32} \\\\\\ \cfrac{ x }{ 8 } ~~=~~ \cfrac{ 25 }{ 8 }\implies 8x=200\implies x=\cfrac{200}{8}\implies x=25[/tex]
50 POINTS BABY!! PLEASE HELP ASAP
Answers
Answer:
I think 50
Step-by-step explanation:
Find how long it takes $2500 to double if it is invested at 6% interest compounded semiannually. Use the formula A=P(1+r/n) to solve the compound interest problem.
It will take approximately years.
(Do not round until the final answer. Then round to the nearest tenth as needed.)
Answers
After 11.71 years the amount will double to the principal amount
What is Compound interest:Compound interest refers to the interest added to a loan or deposit that depends on both the principal amount and compound interest rate and the number of compoundings in a year.
The formula for the amount in compound interest is given by
Amount, A = P(1+r/n)^ntwhere P = Principal amount
r = Rate of interest
n = Number of compounds
t = Time period
From the given data
Principal amount, p = $ 2500
Rate of interest, r = 6% = 6/100 = 0.06
Number of compounds, n = 2 [ ∵ 12/6 = 2 ]
Here we need to find the time period
Let's assume that after 't' years the amount will be doubled i.e $ 5000
From the given problem,
Amount, A = 2500(1+0.06/2)^2t
= 2500(1+0.06/2)^2t
= 2500(1 + 0.03)^2t
= 2500 (1.03)^2t
As we assumed after 't' years the amount is $ 5000
=> 2500 (1.03)^2t = 5000
=> (1.03)^2t = 5000/2500
=> (1.03)^2t = 2
Apply to log on both sides
=> log (1.3)^t = log 2
=> 2t log (1.3) = log 2
=> 2t = log 2/ log(1.03)
=> 2t = 23.4497722
[ use calculator for log (1.03) and log 2 values]
=> t = 11.7248861
=> t = 11.71 ≅ 11 years
Therefore,
After 11.71 years the amount will double to the principal amount
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he table of values represents a quadratic function f(x).
x f(x)
−7 14
−6 7
−5 2
−4 −1
−3 −2
−2 −1
−1 2
0 7
1 14
What is the equation of f(x)?
f(x) = (x − 4)2 − 1
f(x) = (x − 3)2 − 2
f(x) = (x + 3)2 − 2
f(x) = (x + 4)2 − 1
Answers
The equation of the quadratic function is (c) f(x) = a(x + 3)² - 2
How to determine the equation of the quadratic function?From the question, we have the table of values that can be used in our computation:
A quadratic equation is represented as
f(x) = a(x - h)² + k
Where
Vertex = (h, k)
From the graph, we have the vertex to be
(h, k) = (-3, -2)
Substitute (h, k) = (-3, -2) in f(x) = a(x - h)² + k
So, we have
f(x) = a(x + 3)² - 2
Also, from the graph, we have the point (0, 7)
This means that
a(0 + 3)² - 2 = 7
So, we have
9a = 9
Divide both sides by 9
a = 1
Substitute a = 1 in f(x) = a(x + 3)² - 2
f(x) = a(x + 3)² - 2
Hence, the equation is f(x) = a(x + 3)² - 2
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Answer:
hey um im back....
Step-by-step explanation: i was in the ER from being abused and you did not lose me don't worry i love you i was moving place to place so i did not have my phone i wish i could undo this all but im ok now love
michelle
5. Determine the coordinates of point Y so that JY = (2/3)JK.
Answers
The coordinates of y so that JY = (2/3)JK is Y = 2/3k
What are coordinates?Coordinates are a pair of numbers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane.
The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical)
How to find the coordinates of YExamining the expression given JY = (2/3)JK, it can be seen that
at the left part of the equation Y is present while at the second part of the equation Y is no replaced by 2/3k
Hence the 2/3k is equal to Y, and this represents the points that defines Y
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Consider the following statement: Let f be a function, such that for all a and b in the domain of f, f(a)=f(b) implies a=b. Then the function f has an inverse. Is this statement true or false?
Answers
True, the given function f has an inverse.
A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. Inverse functions f and g result in f(x) = y if and only if g(y) = x.
Under the given condition, we can define the function g on the set of the images {b | b = f(a), a belongs to A} in a way
g(b) = a, if f(a) = b.
This function is defined correctly on this set and is the inverse function to f.
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what is the answer to this 6m+8=4(17+m)
Answers
Answer:
m=30
Step-by-step explanation:
During the school fundraiser 4/6 of the products sold were flavored popcorn. Of the flavored popcorn, 1/2 who was caramel flavored. What fraction of the fundraiser products is caramel flavored popcorn?
Answers
Answer:
3/10
Step-by-step explanation:
please mark me brainliest if this is right
The function f(x)=(−x+4)(2x+2) is written in factored form.
Drag statements into the table to show what each factor tells you about the graph of the function. Imagine math
Answers
The intersection of the curve with the x-axis will be at (−1, 0) and (4, 0) for each factor.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function written in factored form is given below.
f(x) = (−x + 4) (2x + 2)
For the factor (−x + 4), we have
−x + 4 = 0
x = 4
For the factor (2x + 2), we have
2x + 2 = 0
2x = −2
x = −1
The intersection of the curve with the x-axis will be at (−1, 0) and (4, 0) for each factor.
The graph is given below.
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A consulting company wants to track the results of its new marketing plan. The media manager recorded the number of views for one of the company’s online videos. The results from the first four weeks are shown in this table.
Write an equation to model the relationship between the number of weeks, x, and then number of views, f(x).
f(x)=a(b)^x
Answers
The equation which model the relationship between the weeks and the viewers is;
f(x) = 2160(1.5)ˣ
What is common ratio?The distance between each number in a geometric series is known as the common ratio. The ratio between two consecutive numbers, or a number divided by the number before it in the sequence, is known as the common ratio since it is the same for all numbers or common.
Given that the expression f(x) = abˣ
Here, b is the common ratio.
Now to find the common ratio b;
To check for first and second term, 3240 / 2160 = 1.5
To check for second term and third term, 4860 / 3240 = 1.5
To check for third term and forth term, 7290 / 4860 = 1.5
To check for forth and fifth term, 10935 / 7290 = 1.5
Therefore the common ratio b is 1.5.
now to find a,
let x =0 and f(x) = 2160
Then, 2160 = a (1.5)°
a = 2160
Therefore, the equation which model the relationship between the weeks and the viewers is;
f(x) = 2160(1.5)ˣ
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Use the graph to answer the question. Where was the object after 2 seconds?
A. 6m
B. 5m
C. 14m
D. 4m
Answers
Answer: A. 6m
Step-by-step explanation: the graph shows at the x axis that it is time. so, go to two seconds and then go up to where the line is. it goes up to 6m so that is the answer.
Jared draws a rectangle. Explain how
to find the area using the Distributive
9 ft length
5 ft height
Answers
45 feet is the answer
Your family plans to start a small business in your neighborhood. Your father borrows
$10, 000 from the bank at an annual interest rate of 8% rate for 36 months. What is the
amount of interest he will pay on this loan?
Answers
The amount of interest he will pay on this loan$12,400.
What is interest?
The fee you pay to borrow money or the fee you charge to lend money is called interest. The most common way to represent interest is as an annual percentage of the loan amount. The interest rate on the loan is known as this percentage.
Principal = $10,000
Rate = 8%
Time = 36 months, 1 year - 12 months
36 months - 36/12= 3 years
S.I. = PRT/100
10,000*8*3/100
240,000/100 = $2,400
A = P+I = 10,000+2,400= $12,400
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Solve for a given the following proportion:
4/a-3=2/5
a=
Answers
Answer:
first do criss cross the it will be like this : 2(a-3)=4*5 . Now do like as given in the picture.
Graph the line with -intercept -4 and slope 6
Can you mark the points
Answers
The graph of the given line with y-intercept -4 and slope 6 is given below.
What is slope intercept form?
One of the most popular ways to represent the equation of a line is in the slope intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope-intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis).
For a straight line with slope "m" and y-intercept "b," the slope-intercept form equation is:
y = mx + b.
Given, y-intercept (b) = -4
slope (m) = 6
Then, the equation of the graph will be
y = 6x - 4
The graph of the equation with points is given below:
Hence, this is the required graph of the slope-intercept form line.
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3. List all the factors of the number 30. (1 point) 1, 2, 3, 5, 6, 10, 15, 30 2, 3, 4, 10, 20, 30, 40 1, 2, 4, 5, 10, 15, 30 1, 2, 4, 5, 8, 10, 20, 40
Answers
Answer:
1,2,3,5,6,10,15,30
Step-by-step explanation:
1*30
2*15
3*10
5*6
Find the cost of driving Jenna’s car (J) in $/mile when the price of gas is $4.29/gallon
Answers
The cost of driving Jenna's car is $0.341/mile
Calculating cost of drivingFrom the question, we are to determine the cost of driving Jenna's car in $/mile
From the given information
The formula used to find Jenna's cost to drive her own car for work is
J = g/22 + 0.146
We are to find the cost of driving when the price of gas, g, is $4.29/gallon
Substitute g = 4.29 in the formula
J = 4.29/22 + 0.146
J = 0.195 + 0.146
J = 0.341
Hence, the cost is $0.341
Here is the complete question:
Recall the formula used to find Jenna's cost to drive her own car for work:
J = g/22 + 0.146
In this formula, J = Cost of driving Jenna's car in $/mile, and g = Cost of gas in $/gallon.
Find the cost of driving Jenna’s car (J) in $/mile when the price of gas is $4.29/gallon
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Profit margin ratio 294\3800
Answers
Step-by-step explanation:
12.93 is the answer of this question.