option (a)
Using a t-table or calculator, we would find the critical value associated with an 80% confidence level and 5 degrees of freedom, which is 1.440
To obtain an 80% confidence interval for the mean µ of a Normally distributed population with an SRS of six observations, we would use a t-distribution with degrees of freedom equal to n-1, where n is the sample size. In this case, n=6, so the degrees of freedom would be 5.
Using a t-table or calculator, we would find the critical value associated with an 80% confidence level and 5 degrees of freedom, which is 1.440 (option a). Therefore, the correct answer is (a) 1.440.
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a rectangle and a triangle have the same area. The rectangle has base 5 cm and height 4 cm. what might the base and height of the triangle be? give to different answers.
Answer:
base 4 and height of 10
base 8 and height 5
Step-by-step explanation:
The area of the rectangle is 20. 4 x 5 = 20
The area of a triangle is \(A = \frac{1}{2}bh\)
Multiply two numbers together that equal 40 because you are going to take half of 40 to get 20.
4 x 10 = 40
40/2 = 20
8 x 5 = 40
40/2 = 20
The area of the triangle is no more than 30 square inches. Right and solve inequality that represents a.
(HELP ASAP!)
The answer is a ≤ 30.
An inequality is a mathematical expression that compares two values or expressions using an inequality operator. In this case, the inequality would be a ≤ 30. This means that the area of the triangle must be less than or equal to 30 square inches.
This can be solved by finding the area of the triangle. To do this, we need to know the lengths of the sides of the triangle. Suppose we have sides p, q, and r. Then the area of the triangle can be found using the formula:
a = 1/2 × b × h
where q is the base of the triangle and r is the height. To ensure that the area of the triangle is no more than 30 square inches, the inequality must be satisfied. That is, 1/2 × b × h ≤ 30. This inequality can be rewritten in terms of the side lengths by substituting 1/2 × q × r for h. This gives us a ≤ 30.
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morgan painted a small circle on her paper. She thinks that if she painted a second circle with two 4 the diameter as the first one, that she'll need twice the amount of paint. Is morgan right?
No, Morgan is not correct. If the diameter of the second circle is twice as long as the diameter of the first circle, then the area of the second circle will be four times as great as the area of the first circle, not twice as great.
What is circle?Circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
No, Morgan is not correct. If the diameter of the second circle is twice as long as the diameter of the first circle, then the area of the second circle will be four times as great as the area of the first circle, not twice as great.
The formula for the area of a circle is given by:
A = πr^2
Where A is the area and r is the radius. The radius of the first circle is half the length of its diameter, so if its diameter is d, then its radius is d/2.
If the diameter of the second circle is twice as long as the diameter of the first circle, then its radius will be 2 * d/2 = d, and its area will be:
A = πd^2 = π(2d/2)^2 = 4π(d/2)^2 = 4A
So the area of the second circle is four times as great as the area of the first circle, not twice as great.
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The relationship between the amount of time a car is parked, in hours, and the cost of parking, in dollars, can be described with a function. a. Identify the independent variable and the dependent variable in this function. b. Describe the function with a sentence of the form "________________ is a function of ________________." c. Suppose it costs $3 per hour to park, with a maximum cost of $12. Sketch a possible graph of the function. Be sure to label the axes.
a. The independent variable in this function is the amount of time a car is parked, measured in hours. The dependent variable is the cost of parking, measured in dollars.
b. "The cost of parking is a function of the amount of time a car is parked."
c. Here is a possible graph of the function:
^
|
$12 +--------/-----
| /
| /
| /
$3 o
|
|
|
+--------------->
Time
In this graph, the vertical axis represents the cost of parking in dollars, and the horizontal axis represents the amount of time a car is parked in hours. The graph shows a linear relationship between the two variables, with a slope of $3 per hour, up to a maximum cost of $12. This means that the cost of parking increases by $3 for each additional hour of parking, up to a maximum cost of $12.
In your math notebook: Give an approximation of the width of the river, support your answer with reasoning from the measurements given. Set up an equation and solve for the width of the Klamath River. Enter the width of the river.
TwT plz help
Answer:
um i cant read it and why do you use cringet emojis like TwT
Step-by-step explanation:
Answer:
ehbsbshshwhajwj
Step-by-step explanation:
whhwbwbsbsbbsh
Given the equation startfraction 2 x 2 over y endfraction = 4 w 2 what is the value of x? x = y w y minus 1 x = 2 y w y minus 1 x = 2 y w y minus 2 x = 4 y w 2 y minus 2
The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
According to the given question.
We have an equation
2x + 2/y = 4w + 2
Since, we have to find the value of x for the given equation
2x + 2/y = 4w + 2
Thereofore,
2x + 2/y = 4w + 2
⇒ 2(x + 1)/y = 2(2w + 1) (taking 2 common from both the sides)
⇒ (x + 1)/y = 2w + 1
⇒ (x + 1) = y(2w + 1) (multiplying both the sides by y)
⇒ x + 1 = 2yw + y
⇒ x = 2yw + y - 1 ( subtracting 1 both the sides)
Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.
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the _____ of a trapezoid is a segment whose endpoints are the midpoints of its legs.
Answer:
The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.
Step-by-step explanation:
The absolute maximum value of f(x)= x^3– 3x^2 +12 on the closed interval [-2, 4] occurs at x =
A.4
B.2
C.1
D.0
E.-2
The absolute maximum value occurs at x = -2, where f(x) is 20.
Therefore, the answer is E. -2.
Here, we have,
To find the absolute maximum value of the function f(x) = x³ - 3x² + 12 on the closed interval [-2, 4], we need to evaluate the function at the critical points within the interval and at the endpoints.
Evaluate f(x) at the critical points:
To find the critical points, we take the derivative of f(x) and set it equal to zero:
f'(x) = 3x² - 6x
Setting f'(x) = 0 and solving for x:
3x² - 6x = 0
3x(x - 2) = 0
From this equation, we find two critical points: x = 0 and x = 2.
Evaluate f(x) at x = 0:
f(0) = (0)³ - 3(0)² + 12 = 12
Evaluate f(x) at x = 2:
f(2) = (2)³ - 3(2)² + 12 = 2
Evaluate f(x) at the endpoints of the interval:
Evaluate f(x) at x = -2:
f(-2) = (-2)³ - 3(-2)² + 12 = 20
Evaluate f(x) at x = 4:
f(4) = (4)³ - 3(4)² + 12 = -8
Now, we compare the function values at the critical points and endpoints to determine the absolute maximum value:
f(-2) = 20
f(0) = 12
f(2) = 2
f(4) = -8
The absolute maximum value occurs at x = -2, where f(x) is 20.
Therefore, the answer is E. -2.
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PLZ HELP ME I DON'T KNOW
Answer:
44
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
plug it in: 8(2)^2 +2(2) +8
do the math: 32 + 4 + 8
44
the diagram Shows a sector of a circle radius 10cm and angle 135 degrees find out perimeter
Answer: 22.4 cm
Step-by-step explanation:
Perimeter of sector is: P = 2r + 2πr(θ/360) P = 2*10 + 2(3.14) (135/360) = 22.4 cm (rounded)
estimate how many times the first number is that the second number. 4x10 to the 9 and 8x10 to the 5
4×10 is approximately 4.44 times the 9 and 8×10 is 16 times the 5.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Here, 4×10 to the 9
4×10=9×x
9x=40
x=40/9
x=4.44
So, 4×10 is approximately 4.44 times the 9.
8×10 to the 5
Now, 8×10=5×y
80=5y
y=16
So, 8×10 is 16 times the 5.
Therefore, 4×10 is approximately 4.44 times the 9 and 8×10 is 16 times the 5.
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Which equation has no solution? Help Now Plz!!
Answer:
C
Step-by-step explanation:
Because 3/8 plus 1/4 equal 5/8, and then the two 5/8s cancel out.
please help me :'(
Polynomial Function.
Tell whether the following is a polynomial is a polynomial function or not. give the degree and the number of terms for polynomial functions.
1. y = 3x² - 2x + 4
2. y = 5^x+3
3. y = x + 4/3
4. y = (x - 4)(4x + 1)
5. y = 6x² + 1
Answer:
all are a polynomial function and
1.the degree is 3 and number of term is 4
2. 1 and 3
3. 1 and 4/3
4. 2 and -4
5. 2 and 1
If y varies directly as x and the constant variation is -2, which equation represents this relationship?
please answer by 11:59 10-5-2020
Answer:
y = -2xStep-by-step explanation:
If y varies directly with x, it is:
y = kxConstant is -2, it means k= -2
y = - 2xTrue/False: When a form is created based on two or more tables, a relationship must be defined between queries.
True: When a form is created based on two or more tables, a relationship must be defined between queries.
True. When a form is created based on two or more tables, a relationship must be defined between queries in order to ensure that the form displays accurate data. Queries are used to pull data from multiple tables and present it in a single view, so it is important to define the relationships between these tables to avoid inconsistencies or errors in the displayed data. This ensures that the data from the related tables can be properly displayed and managed within the form.
When you drag and search a field from an "other" (unrelated) table, a new one-to-many relationship is created from the table in the list and the table from which you dragged the field. This relationship is established by Access, which does not enforce integrity by default.
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Your uncle Jim lives in England, where the current exchange rate iS 1.64 US dollars for each
British pound. Solve for the amount of your monthly bill,
England.
to the nearest hundredth, if you lived in
Answer:
Since we need your monthly bill we will call it the variable B for now, (Unless you have the bill, if so replace it with the variable)
Multiply 1.64 x B since the exchange rate is different than the US bill,
For example, say your bill is $100 in the U.S.
You do 1.64 x 100 = A monthly bill of $164 if you lived in Britain
Step-by-step explanation:
the angle of a body segment with respect to a fixed line of reference is known as a
The angle of a body segment with respect to a fixed line of reference is known as a "relative angle."
The angle of a body segment with respect to a fixed line of reference is known as a reference angle. This angle is measured between the segment and the reference line, and is used to determine the position and orientation of the segment relative to other parts of the body or external objects. The segment itself refers to a specific part of the body, such as an arm, leg, or torso, that is bounded by two or more joints or points of attachment. By measuring the reference angle of a segment, it is possible to quantify the degree of movement or displacement of that segment, and to track changes in its position over time.
In this context, the angle represents the measurement of the difference in orientation between the body segment and the reference line, while the segment refers to a specific part of the body, such as an arm or leg. The reference line serves as a fixed point for comparison, allowing you to determine the position or orientation of the body segment in relation to it.
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Is it possible to have triangle whose sides have length 10.2 cm 5 8 cm and 4.5 cm give reason?
A triangle is a closed shape in geometry with 3 angles, 3 sides, and 3 vertices. A triangle with three vertices P, Q, and R is represented as triangle △PQR. The most commonly seen examples of triangles are the signboards and sandwiches that are in the shape of a triangle.
Given Lengths of the ∆ -
10.2 cm
5.8 cm
4.5 cm
We know that by triangle formula,
The sum of any two sides of a triangle is always greater than the third side.
So, according to the given sides of the triangle that are 10.2, 5.8, 4.5.
(10.2 + 5.8) cm = 16 cm > 4.5 cm
(10.2 + 4.5) cm = 14.7 cm > 5.8 cm
(5.8 + 4.5) cm = 10.3 cm > 10.2 cm
Yet, it is also possible to have a triangle having sides 10.2 cm, 4.5 cm & 5.8 cm.
A triangle is just a simple polygon with three sides and three interior angles.
It is one of the basic structures in geometry in which the three vertices are joined with each other and it is denoted by the symbol △.
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A used book store also started selling used CDs and DVDs. In the first week, the store sold 40 used CDs and DVDs, at
$6.00 per CD and $4.00 per DVD. The sales for both CDs and DVDs totaled $180.00. Write a system of equations to
represent this situation
Answer:
6c + 4d = 180
c + d = 40
c represents the CDs and d represents the DVDs.
60 D A B Diagram NOT accurately drawn The sides of an equilateral triangle 1BC and two regular polygons meet at the point 4. AB and AD are adjacent sides of a regular 10-sided polygon. AC and 4D are adjacent sides of a regular n-sided polygon Work out the value of n.
The value of n in the n-sided polygon, with sides AC and AD, where the external angle formed at the point the decagon touches the n-sided polygon is 60° is; n = 15
What is a polygon?A polygon is a planar shape with three or more straight sides.
The sum of angles at a point property indicates that, the sum of angles at the point A can be presented as follows;
∠BAC + ∠CAD + ∠DAB = 360°
Angle ∠BAC = 60°
Angle ∠DAB is an interior angle of a 10-sided regular polygon, (a decagon), therefore, the measure of angle ∠DAB is 144°
Plugging in the values of the measures of the angles ∠BAC and ∠DAB, in the equation, ∠BAC + ∠CAD + ∠DAB = 360°, we get;
+ ∠CAD + 144° = 360°
∠CAD = 360° - (144° + 60°) = 156°
∠CAD = 156°
The formula for finding the measure of the interior angle of an n-sided polygon, θ, can be presented as follows;
θ = (n - 2) × 180°/n
Where the interior angle, θ = 156°, which is the measure of ∠CAD, in the n-sided polygon, we get;
156° = (n - 2) × 180°/n
156·n = 180·n - 360
360 = 180·n - 156·n = 24·n
n = 360/24 = 15
The number of sides in the n-sided polygon is 15, therefore, AC and AD are adjacent to a 15-sided polygon
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rainbow punch was made by frutayuda, inc. and sold in 12-ounce cans to benefit victims of hurri-cane zero. the mean number of ounces placed in a can by an automatic fill pump is 11.7 with a standard deviation of 0.18 ounce. assuming a nor-mal distribution, determine the probability that the filling pump will cause an overflow in a can, that is, the probability that more than 12 ounces will be released by the pump and overflow the can.
Rainbow punch, made by Frutayuda, Inc., was sold in 12-ounce cans to benefit victims of Hurricane Zero. The mean number of ounces placed in a can by an automatic fill pump is 11.7 ounces with a standard deviation of 0.18 ounce. Assuming a normal distribution, the probability that more than 12 ounces will be released by the pump and overflow the can is 0.02275.
This can be calculated by finding the probability that the filling pump will cause a can to have an amount less than 12 ounces. This probability can be calculated by finding the area under the normal distribution curve from 11.7 to 12. To do this, the z-score of 11.7 must be found. This z-score is -1.05.
The area under the curve from -1.05 to 0 is 0.1587. Subtracting this from 1 gives 0.8413, which is the probability that the filling pump will cause a can to have an amount less than 12 ounces. This means that the probability that the filling pump will cause an overflow in a can is 0.02275 (1-0.8413 = 0.02275).
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find four consecutive integers with the sum of -362.
Step 1: There are four consecutive integers that add up to - 362
Step 2: Let's write the equation to find the four consecutive integers, as follows:
• Let x to represent the first consecutive integer
,• Let x + 1 to represent the second consecutive integer
,• Let x + 2 to represent the third consecutive integer
,• Let x + 3 to represent the fourth consecutive integer
Therefore,
x + x + 1 + x + 2 + x + 3 = -362
Step 3: Let's solve for x
4x + 6 = -362
Subtracting 6 at both sides:
4x + 6 - 6 = -362 - 6
4x = -368
Dividing by 4 at both sides:
4x/4 = -368/4
x = -92
Step 4: Let's find the four consecutive integers based on x = -92
• x + 1 = -92 + 1 = -91
,• x + 2 = -92 + 2 = -90
,• x + 3 = -92 + 3 = -89
Step 5: The four consecutive numbers that add up to -362 are:
-89, -90, -91 and -92
Please help!!! I will give u brainiest
Answer:
(2,3) ; (-2.11)
Step-by-step explanation:
Answer:
(2, 3); (-2, 11)
Step-by-step explanation:
f(x) = x² - 2x + 3
f(x) = -2x + 7
f(x) = f(x)
x² - 2x + 3 = -2x + 7
x² = 4
x = ±2
x = 2
f(2) = -2(2) + 7 = -4 + 7 = 3
x = -2
f(-2) = -2(-2) + 7 = 4 + 7 = 11
Answer: (2, 3); (-2, 11)
which is bigger 5 or -3
The volume of the large box is 64 cm3. Box A has the same
height as Box B. What is the volume of the small box if the
length and the width is the height and the width of Box B.
Height is same
So
Volume of cuboid (Box is cuboid)
Length×Breadth×HeightLBHAs H is same kick it out
LBSo
If we know multiplication shows association
So
LB=BLVolume remains same
V=64cm³solve for X:
-2x(x+3)-(x-1)(x-2)=
Answer:
-3x² - 3x - 2
Step-by-step explanation:
simplify the first part
-2x * x - 2x * 3
-2xx - 6x
simplify the second part
(x-1)(x-2)
x * x + x * -2 + -1 * x + -1 * -2
xx + -2x - x + 2
xx - 3x + 2
subtract the simplified expressions
-2xx - 6x - (xx - 3x + 2)
-2xx - 6x - xx + 3x - 2
-3xx - 3x - 2
Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.)
f(t) =
To find L{f(t)}, we first need to know the definition of the Laplace transform. Laplace Transform Definition: The Laplace transform of a function f(t) is defined as L{f(t)} = ∫[0,∞) e^(-st) f(t) dt, where s is a complex variable.
The Laplace transform is a mathematical tool used to transform a function of time into a function of complex frequency, s. This tool is often used in engineering and physics to solve differential equations and analyze systems.
To find L{f(t)}, we need to use the Laplace transform definition and substitute f(t) into the integral.
Assuming that the function f(t) is known, we can use the Laplace transform definition to find L{f(t)}.
L{f(t)} = ∫[0,∞) e^(-st) f(t) dt
Let's assume that f(t) = sin(t).
L{sin(t)} = ∫[0,∞) e^(-st) sin(t) dt
We can use integration by parts to solve this integral.
Let u = sin(t) and dv = e^(-st) dt.
Then, du/dt = cos(t) and v = (-1/s) e^(-st).
Using integration by parts, we get:
L{sin(t)} = [-1/s * e^(-st) * sin(t)]∞[0] - ∫[0,∞) [-1/s * e^(-st) * cos(t)] dt
Simplifying this expression, we get:
L{sin(t)} = [-1/s * e^(-s∞) * sin(∞)] - [-1/s * e^(0) * sin(0)] - (1/s) ∫[0,∞) e^(-st) cos(t) dt
Since sin(∞) and sin(0) are both zero, we can simplify further to get:
L{sin(t)} = (1/s) ∫[0,∞) e^(-st) cos(t) dt
We can use integration by parts again to solve this integral.
Let u = cos(t) and dv = e^(-st) dt.
Then, du/dt = -sin(t) and v = (-1/s) e^(-st).
Using integration by parts, we get:
L{sin(t)} = (1/s) [(-1/s * e^(-st) * cos(t)]∞[0] - (1/s) ∫[0,∞) [-1/s * e^(-st) * (-sin(t))] dt
Simplifying this expression, we get:
L{sin(t)} = (1/s^2) [cos(0) - cos(∞)] - (1/s^2) L{-cos(t)}
Since cos(0) = 1 and cos(∞) = undefined, we can simplify further to get:
L{sin(t)} = 1/(s^2 + 1)
Therefore, the Laplace transform of f(t) = sin(t) is L{f(t)} = 1/(s^2 + 1).
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Pls Answer 15 Points
This isn’t something we can really answer for you hun.
If you need help understanding, here’s a course that might help:
https://www.khanacademy.org/math/geometry/hs-geo-transformations
Question is on a picture
Answer:
\(12\)
Step-by-step explanation:
\( {4}^{2} - ( { - 2}^{2} ) \\ 16 - 4 \\ 12\)
you have 4 cards and a spinner with 5 numbers on it. how many combinations are possible?
There are 625 possible combinations.
What is multiplication principle?According to the multiplication principle, if an event A can happen in x different ways and an event B can happen in y different ways, then there are x y possibilities for both events to happen at once.
To determine the number of combinations possible with 4 cards and a spinner with 5 numbers, we can use the concept of the multiplication principle.
For the spinner, we have 5 possible numbers that can be selected.
For the 4 cards, each card can have any one of the 5 possible numbers from the spinner.
Using the multiplication principle, we multiply the number of choices for each item together to find the total number of combinations.
Number of combinations = Number of choices for the spinner × Number of choices for each card
= 5 × 5 × 5 × 5
= 625
Therefore, there are 625 possible combinations.
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