Answer:
The standard deviation is about 2.915
Step-by-step explanation:
Answer:
= 2.9154759474227
Step-by-step explanation:
Find the minimum sample size n needed to estimate u for the given values of c, o, and e. C=.95, O=6.4, E= 2
What is the simplified form of StartRoot 144 x Superscript 36 Baseline EndRoot?
12x6
12x18
72x6
72x18
The simplified form of the provided expression is 12x¹⁸ option second is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have an expression:
[tex]\rm = \sqrt{144x^{36}}[/tex]
[tex]\rm = \sqrt{(12^2)(x^{36})}[/tex]
[tex]\rm = \sqrt{(12^2)}\sqrt{(x^{36})}[/tex]
12x¹⁸
Thus, the simplified form of the provided expression is 12x¹⁸ option second is correct.
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Answer:
12x18
Step-by-step explanation:
Edge 2023
On January 1, 2021, Princess Corporation leased equipment to King Company. The lease term is 12 years. The first payment of $716,000 was made on January 1, 2021. The equipment cost Princess Corporation $5,188,466. The present value of the lease payments is $5,588,516. The lease is appropriately classified as a sales-type lease. Assuming the interest rate for this lease is 9%, how much interest revenue will Princess record in 2022 on this lease? (Round your answer to the nearest whole dollar amount.)
The amount of the interest revenue that Princess will record in 2022 on this lease is:$413,553.82.
Interest revenue
First step
Lease value payments after first payment:
Lease value payments= $5,588,516- $716,000
Lease value payments= $4,872,516
Second step
Lease value payments after second payment:
Lease value payments=$4,872,516+ ($4,872,516×9%) - $716,000
Lease value payments=$4,872,516+$438,526.44-$716,000
Lease value payments=$4,595,042.44
Third step
2022 Interest revenue=$4,643,787.6×9%
2022 Interest revenue=$413,553.8196
2022 Interest revenue=$413,553.82 (Approximately)
Therefore the amount of the interest revenue that Princess will record in 2022 on this lease is:$413,553.82.
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Select the correct answer. Consider functions h and k. Every x value has a relationship in k of x. What is the value of (h o k)(1)? A. 28 B. 4 C. 1 D. 0
Answer: 0
Step-by-step explanation:
[tex](h \circ k)(1)=h(k(1))=h(4)=\boxed{0}[/tex]
A bag contains Red, Green or Yellow balls. A ball is taken at random from the bag. The probability that it is Red is 0.4 and the probability that it is Green is 0.375.What is the possible number of balls in the bag?
Answer:
1000 balls
(there are infinitely many solutions to this question; you can scale up 1000, use a different total, etc.)
Step-by-step explanation:
there are, of course, multiple possible numbers,
but the easiest way is to go with 1000, because we can say 375 / 1000 and 400 / 1000
(0.4 + 0.275 + 0.225 = 1)
400 out of 1000 balls are red (400/1000 = 4/10 = 0.4)
375 out of 1000 balls are green (375/1000 = 3.75/10 = 0.375)
225 out of 1000 balls are yellow (225/1000 = 2.25/10 = 0.225)
the question never gave detail as to if the answer should be the lowest number of possible balls, so this value is possible.
So, a possible number of balls in this bag is 1000.
what is (4-¹)(2³-4-2) 4 - ¹ ) ( 2³ - 4-2 )
Answer:
[tex](4-¹)(2³-4-2) 4 - ¹ ) ( 2³ - 4-2 )[/tex]
[tex]4 {}^{ - 2} (2 {}^{3 } - 4 - 2)(2 {}^{3} - 4 - 2)[/tex]
[tex]4 {}^{ - 2} (2 {}^{3} - 4 - 2) {}^{2} [/tex]
[tex] \frac{1}{16} (8 - 4 - 2) {}^{2} [/tex]
[tex] \frac{1}{16} (4 - 2) {}^{2} [/tex]
[tex] \frac{1}{16} \times 4[/tex]
[tex] \frac{1}{4} [/tex]
50 cm
1.5
Path
Vegetables
50 cm
50 cm
2
5.5m
This plan shows a vegetable garden.
The width of the path is 50 cm throughout.
4.5m
Step-by-step explanation:
b because you have to multiply
Which statement describes how the y-intercept of the graph of f(x) = |2x − 1| compares to the y-intercept of the graph of g(x) = |2x − 5|? A. The y-intercept of g is 4 units above the y-intercept of f. B. The y-intercept of g is 4 units below the y-intercept of f. C. The y-intercept of g is 4 units to the right of the y-intercept of f. D. The y-intercept of g is 4 units to the left of the y-intercept of f.
The statement "the y-intercept of g is 4 units above the y-intercept of f'' is true option first is correct.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have two functions:
f(x) = |2x - 1| and
g(x) = |2x - 5|
After plotting on a coordinate plane.
The y-intercept of f(x) is 1
The y-intercept of g(X) is 5
Or plug x = 0 to find the y-intercept.
The y-intercept of g is 4 units above the y-intercept of f
Thus, the statement "the y-intercept of g is 4 units above the y-intercept of f'' is true option first is correct.
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can someone show me the steps to solve #83 please?
Answer:
18π ≈ 56.5 meters
Step-by-step explanation:
The length of the arc of a circle is given by the formula ...
s = rθ . . . . where r is the radius, and θ is the central angle in radians
ApplicationYou are given the values of r and θ, so you only need to put them into the formula and simplify.
s = (27 m)(2π/3) = 18π m
The length of the arc is 18π meters, about 56.5 meters.
transform each graph below.
(a) The graph of y=f(x) is shown. Draw the graph of y= f(2x).
(b) The graph of y=g (x) is shown. Draw the graph of y=1/2g(x).
Answer:
Step-by-step explanation:
given: f(x)=2x^2 and g(x)=x-8. Find f(g(x))
The value of the composite function f(g(x)) is 2(x-8)^2
Composite functionsComposite functions are functions in another function. Given the following functions
f(x)=2x^2 and
g(x)=x-8
Determine f(g(x))
f(g(x)) = f(x-8)
f(x-8) = 2(x-8)^2
f(g(x)) = 2(x-8)^2
Hence the value of the composite function f(g(x)) is 2(x-8)^2
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Please need the answer ASAP for number 3!!!!
Answer:
second and fourth option
Step-by-step explanation:
the discriminant of a quadratic equation is the easiest way to know how many solutions there will be
(discriminant: b²- 4ac)
{a discriminant of 0 means 1 solution; discriminant < 0 means no real roots, discriminant > 0 means two real roots }
so, we can quickly run b² - 4ac for each equation provided:
(note: ax² + bx + c is the formatting we use to find a, b, and c)
8² - 4(-9)(-8)
64 - 288 = -224
4² - (4)(1)(4)
16 - 16 = 0
-1² - (4)(-10)(-9)
-1 - 360 = -361
-6² - (4)(3)(3)
36 - 36 = 0
So, because the second and fourth options listed have a discriminant of 0, they have 1 real solution
hope this helps!! have a lovely day :)
Emily is shopping at the toy store. In that store all dolls are sold at the same price and all dresses are sold at the same price. If Emily buys one doll and one dress, it will cost her $21.00. If Emily buys two dolls and three dresses, it will cost her $51.00. What is the price of one doll at that store?
Answer:
$12.
Step-by-step explanation:
1) if price of one doll is 'x', of one dress is 'y', then the condition 'buys one doll and one dress, it will cost her $21.00' can be written as x+y=21;
2) the condition 'buys two dolls and three dresses, it will cost her $51.00' can be written as 2x+3y=51;
3) it is possible to make up the system:
[tex]\left \{ {{x+y=21} \atop {2x+3y=51}} \right. \ = > \ \left \{ {{x=12} \atop {y=9}} \right.[/tex]
4) the price of one doll is 12$.
Addison and Kelsey are running on a path modeled by x2 + y2 – 14x – 16y – 287 = 0, where the distance is in meters. What is the maximum distance between the runners at any given time?
20 meters
32 meters
40 meters
140 meters
Answer:
40 meters
Step-by-step explanation:
The maximum distance between the runners at any given time 40 meters. Therefore, option C is the correct answer.
Given that, Addison and Kelsey are running on a path modeled by x² + y² - 14x - 16y - 287 = 0.
What is a circle equation?The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle. The equation of a circle is different from the formulas that are used to calculate the area or the circumference of a circle.
The standard equation of a circle with center at (x1,y1) and radius r is (x-x1)²+(y-y1)²=r²
Here, the circular path is modeled by x² + y² - 14x - 16y - 287 = 0
We complete the squares to place it in the standard format, thus:
x² - 14x + 49 + y² - 16y +64 = 287+49+64
⇒ (x-7)² + (y-8)² = 400
⇒ (x-7)² + (y-8)² = 20²
So, r² = 20²
⇒ r = 20 meters
Maximum distance = d = 2r
= 40 meters
The maximum distance between the runners at any given time 40 meters. Therefore, option C is the correct answer.
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Expand and simplify: (6a+2)(6a-5)-(7a-1)(a-2)
Answer:
29a² - 3a - 12
Step-by-step explanation:
Given expression:
(6a+2)(6a-5)-(7a-1)(a-2)
Solution:
Apply distributive property.
[tex] \rm=(6a)(6a)+(6a)(-5)+(2)(6a)+(2)(-5)-7a^2+15a-2[/tex]
[tex] \rm= 36a {}^{2} - 30a + 12a - 10 - 7a {}^{2} + 15a - 2[/tex]
Combine like terms:
[tex] \rm=(36a {}^{2} - 7a {}^{2} )+( - 30a+12a+15a)+( - 10 - 2)[/tex]
[tex] = \boxed{ \rm \: 29a {}^{2} - 3a - 12}[/tex]
Done!
Fill in the blank. In the triangle below, x=?. Round your answer to two decimal places.
Answer:
Hello
DiinoMahFill in the blank. In the triangle below, x=?. Round your answer to two decimal places.
Which expression shows the sum of the polynomials with like terms grouped together?
The expression of the polynomials with like terms grouped together is (c) [-4x²] + 2xy² + [10x²y + (-4x²y)]
How to group the polynomial by like terms?We have:
10x²y + 2xy² - 4x² - 4x²y
Collect the like terms
- 4x² + 2xy² + 10x²y - 4x²y
Put each group in bracket
- 4x² + 2xy² + [10x²y - 4x²y]
Express as positives
[-4x²] + 2xy² + [10x²y + (-4x²y)]
Hence, the expression of the polynomials with like terms grouped together is (c) [-4x²] + 2xy² + [10x²y + (-4x²y)]
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Answer:
c
Step-by-step explanation:
Find the volume of a cone that has a diameter of 7 and a height of 8.
98/3 Pi
448/3 Pi
131 Pi
24 Pi
what is next number in pattern 7, 11, 2, 18, -7
Answer:
the answer is -7+-25=-32
please solve using whatver method u want!
+brainest
ASAP
Answer:
System has no solutions.
Step-by-step explanation:
Double the first, change sign to the second. You get
[tex]6x-4y=8\\6x-4y=-7[/tex]
You need a quantity ([tex]6x-4y[/tex]) which, at the same time is both equal to 8 and -7, which is obviously impossible.
System has no solutions.
The equation of a circle is x² + y²-6y+1=0. What are the coordinates of
the center and the length of the radius of this circle?
(1) center (0,3) and radius 2√2
(2) center (0,-3) and radius 2√2
(3) center (0.6) and radius √35
(4) center (0,-6) and radius √35
Answer:
center (0, 3) and radius 2√2
Step-by-step explanation:
Equation of a circle
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where:
(a, b) is the centerr is the radiusGiven equation:
[tex]x^2+y^2-6y+1=0[/tex]
Subtract 1 from both sides:
[tex]\implies x^2+y^2-6y=-1[/tex]
To create a trinomial with variable y, add the square of half the coefficient of the y term to both sides:
[tex]\implies x^2+y^2-6y+\left(\dfrac{-6}{2}\right)^2=-1+\left(\dfrac{-6}{2}\right)^2[/tex]
[tex]\implies x^2+y^2-6y+9=8[/tex]
Factor the trinomial with variable y:
[tex]\implies x^2+(y^2-6y+9)=8[/tex]
[tex]\implies x^2+(y-3)^2=8[/tex]
Factor [tex]x^2[/tex] to match the general form for the equation of a circle:
[tex]\implies (x-0)^2+(y-3)^2=8[/tex]
Compare with the general form of the equation for a circle:
[tex]\implies a=0[/tex]
[tex]\implies b=3[/tex]
[tex]\implies r^2=8 \implies r=2\sqrt{2}{[/tex]
Therefore, the center is (0, 3) and the radius is 2√2
Write an equation for the polynomial graphed below
The expression for the polynomial graphed will be y(x) = (x + 3)(x - 1 )(x - 4 ).
How to factor the polynomial?From the graph, the zeros of the polynomial of given graph are:
x = -3
x = 1
x = 4
Equate the above equations to zero
x + 3 = 0
x - 1 = 0
x - 4 = 0
Multiply the equations
(x + 3)(x - 1 )(x - 4 ) = 0
Express as a function gives;
y = (x + 3)(x - 1 )(x - 4 )
Hence, the factored form of the polynomial will be y = (x + 3)(x - 1 )(x - 4 ) .
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Somebody help please!!
The Mountain States Office of State Farm Insurance Company reports that approximately 84% of all automobile damage liability claims were made by people under 25 years of age. A random sample of ten automobile insurance liability claims is under study.
The mean will be 10.08 and the standard deviation will be 1.27.
The complete question is given below:-
The Mountain States Office of State Farm Insurance Company reports that approximately 84% of all automobile damage liability claims were made by people under 25 years of age. A random sample of twelve automobile insurance liability claims is under study.
Find the mean and standard deviation of this probability distribution.
For samples of size 12, what is the expected number of claims made by people under 25 years of age?
What is mean?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.
Given that:-
The Mountain States Office of State Farm Insurance Company reports that approximately 84% of all automobile damage liability claims were made by people under 25 years of age.We need to find For samples of size 12, what is the expected number of claims made by people under 25 years of age?The mean will be calculated by the formula below:-
Mean = [tex]\mu[/tex] = np = 12 x 0.84 = 10.08
The standard deviation will be calculated as:-
Standard deviation = [tex]\sqrt{npq}[/tex] = [tex]\sqrt{12\times 0.84\times 0.16}[/tex] = 1.27
Therefore the mean will be 10.08 and the standard deviation will be 1.27.
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2. The length of a rectangle exceeds its breadth by 5m.If the perimeter of the rectangle is 74m,find the length and breadth of the rectangle. Plss answer thiissss
Step-by-step explanation:
length = breadth + 5
the perimeter is a rectangle is
2×length + 2×breadth
in our case
2×length + 2×breadth = 74
so, we use the first equation in the second equation :
2×(breadth + 5) + 2×breadth = 74
2× breadth + 10 + 2× breadth = 74
4×breadth = 64
breadth = 16 m
length = breadth + 5 = 16 + 5 = 21 m
Determine the slope-intercept form of the equation of the line parallel to y = x + 11 that passes through the point (–6, 2).
Parallel lines have equivalent slopes, so as the slope of the given line is 1, the slope of the line we want to find is also 1.
Substituting into point-slope form and rearranging into slope-intercept form,
[tex]y-2=1(x+6)\\\\y-2=x+6\\\\\boxed{y=x+8}[/tex]
Follow the steps to find the
area of the shaded region.
First, use the formula
below to find the area
of the whole sector.
Sector Area =
angle of sector
360
tor) πr²
Sector Area = [?] cm²
Round to four decimal places.
14 cm
46°
14 cm
The area of the shaded part is 8.1447cm²
Area of a sectorThe formula to calculate the area of the shaded region is expressed as:
Area of the shaded region = Area of sector - Area of triangle
Determine the area of the sector
Area of sector = r²β/2
Area of sector = 14²(46π/180)/2
Area of sector = 78.64 cm²
Determine the area of triangle
Area of triangle = 1/2r²sinβ
Area of triangle = 1/2(14²sin46)
Area of triangle = 140.99/2
Area of triangle = 70.49 cm²
Area of shaded part = 78.64 cm² - 70.49 cm²
Area of shaded part = 8.1447cm²
Hence the area of the shaded part is 8.1447cm²
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tim earns 42pounds for 7 hours of work. how much does he earn in 16 hours
Answer:
96
Step-by-step explanation:
divide 42/7
=6
6x16=
96
Answer:
The answer is 96 pounds
Step-by-step explanation:
Multiply 16 with 42 and divide it by 7 and you get the answer 96 pounds
HELP ME !!!!!!! Which of the following best describes a single fixed point that is the same
distance from the parabola as the directrix is from the parabola?
A. center
B. vertex
C. focus
D. locus
Answer:
C. Focus
.............
What is the area of the rectangle below
Answer:
130 sq. units
Step-by-step explanation:
Any number multiplied by 10 is the same number with a 0 added at the end.
Answer:
1300
Step-by-step explanation:
1. calculator
2.putreef Iub numbers
3 solve
