Answer:
36Q
Step-by-step explanation:
multiply all together we have 36Q
A regular octagon has side lengths of 8 centimeters. What is the approximate area of the octagon?
Answer:
The answer is B if the octagon has side lengths of 8
In a study of 825 randomly selected medical malpractice lawsuits, it was found that 500 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical
malpractice lawsuits are dropped or dismissed.
I found the z score but does anyone know how to find the p-value?
Using the z-distribution, since the p-value of the test is less than 0.01, there is enough evidence to conclude that the claim is correct.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence that the proportion is above 0.5, hence:
[tex]H_0: p \leq 0.5[/tex]
At the alternative hypothesis, it is tested if there is enough evidence that the proportion is above 0.5, hence:
[tex]H_1: p > 0.5[/tex]
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.For this problem, the parameters are:
[tex]n = 825, \overline{p} = \frac{500}{825} = 0.606, p = 0.5[/tex]
Hence the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.606 - 0.5}{\sqrt{0.5(0.5)}{825}}}[/tex]
z = 6.1.
What is the p-value?We have a right-tailed test, as we are testing if the proportion is greater than a value. Using a z-distribution calculator, with z = 6.1, the p-value is of 0.
Since the p-value is less than 0.01, there is enough evidence to conclude that the claim is correct.
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Three times a certain number decreased by 5 is equal to 31.
What is the LCM of the denominators? 8/ab^6, 9/ab^5
Answer:
8
Step-by-step explanation:
because all the number is over 1
Jason wants to receive monthly payments of $3,250 for 15 years. How much does he have to invest now in an annuity that has an annual interest rate of 3.6% to achieve his goal? Round your answer to the nearest hundred.
Answer: $451,500
The amount she should invest today in the annuity is $455,450.40.
How much should be invested today?The first step is to determine the future value of the monthly annuity.
Future value = monthly payment x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = 3.6/12 = 0.3%n = number of periods : 15 x 12 = 180Future value : 3250 x [(1.003^180) - 1] / 0.003 = 774,171.92
The second step is to determine the present value of this future annuity:
774, 171.92 / (1.036^15) = $455,450.40
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(y-5)/2=(y+6)/3 solve
The solution of the given equation represented in the task content can be determined by first evaluating the LCM and hence is; y= 27.
What is the solution of the equation as given in the task?The given equation is; (y-5)/2=(y+6)/3.
Hence, by multiplying the equation by 6, we have;
3(y-5) = 2(y+6)
3y -15 = 2y +12
y = 27.
Hence, it follows that the value of y which is a solution to the equation is; y = 27.
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Can someone help me with this problem from Khan Academy?
Given that the graph shows P as a function of n, we have:
a. The more hot dogs that is sold, his profit increases.
b. Jimmy sells the hot dog for $1 each.
c. Jimmy needs to sell 16 hot dogs to recover the $8 he invested.
d. He would make a profit of $7.
e. The number of hot dogs he needs to sell is: 20.
What is a Linear Function?A linear function is expressed as, y = mx + b, where y is a function of x, m is the unit rate, and b is the starting value or initial value of the function.
We are given that profit, P, is a function of the number of hot dogs sold, n.
a. The graph of the function slopes upwards, so this means that the more hot dogs that is sold, his profit increases.
b. Cost of 1 hot dog = Unit rate = change in y / change in x = 2 units/2 units
Cost of 1 hot dog = Unit rate = 1
Thus, Jimmy sells the hot dog for $1 each.
c. If you trace profit (P) on the graph when it is $8, the corresponding number of hot dogs, n, would be 16.
So, Jimmy needs to sell 16 hot dogs to recover the $8 he invested.
d. When n = 15, P, from the graph would be 7.
Thus, if Jimmy sells 15 hot dogs, he would make a profit of $7.
e. When P = 12, from the graph, the corresponding n value is 20.
Therefore for Jimmy to make $12, the number of hot dogs he needs to sell is: 20.
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which of the following rational functions is graphed below?
Answer:
c
Step-by-step explanation:
Oblique Asymptotes
R(x) will have oblique asymptote if it can be represented in the form
1 / (Q)x
Exercise 18: 3 1. The populations of a city increased from 4 million to 1.1 million. Write in digits the number by which the population increased.
pls as fast as u can!!!!!!!!!!!!!!!!
Answer:
bro it had been decreased
so total had been decreased is (4,000,000-2,900,000)=1,100,000You are offered two jobs selling college textbooks. One company offers an annual salary of $30,000 plus a year-end bonus of 1% of your total sales. The other company offers an annual salary of $25,000 plus a year-end bonus of 2% of your total sales. How much would you need to sell in a year to make the second offer the better offer?
Answer:
at least $500,000 in sales
Step-by-step explanation:
5) What problems have a negative slope?
A negative slope can be illustrated when a line that is trending downward from left to right, has a negative value.
What is a negative slopeIt should be noted that a negative slope implies that two variables are negatively related.
This implies that when x increases, y decreases, and also when x decreases, y increases.
Graphically, a negative slope implies that as the line on the line graph moves from left to right, the line will fall.
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03* For which one of the following functions is (-1,-1) a relative minimum?
f(x,y)=xy + 1/x + 1/y
f(x,y)=x^2 +2x
f(x,y)=xy-y^2
f(x,y)=xy-1/x-1/y
If (-1, -1) is an extremum of [tex]f[/tex], then both partial derivatives vanish at this point.
Compute the gradients and evaluate them at the given point.
[tex]f(x,y)=xy+\frac1x +\frac1y[/tex][tex]\nabla f = \left\langle y - \dfrac1{x^2}, x - \dfrac1{y^2}\right\rangle \implies \nabla f (-1,-1) = \langle-2,-2\rangle \neq \langle0,0,\rangle[/tex]
[tex]f(x,y) = x^2+2x[/tex][tex]\nabla f = \langle 2x+2,0\rangle \implies \nabla f(-1,-1) = \langle0,0\rangle[/tex]
[tex]f(x,y)=xy-y^2[/tex][tex]\nabla f = \langle y, x-2y\rangle \implies \nabla f(-1,1) = \langle-1,1\rangle \neq\langle0,0\rangle[/tex]
[tex]f(x,y) = xy-\frac1x-\frac1y[/tex][tex]\nabla f = \left\langle y + \frac1{x^2}, x + \frac1{y^2}\right\rangle \implies \nabla f(-1,1) = \langle0,0\rangle[/tex]
The first and third functions drop out.
The second function depends only on [tex]x[/tex]. Compute the second derivative and evaluate it at the critical point [tex]x=-1[/tex].
[tex]f(x,y) = x^2+2x \implies f'(x) = 2x + 2 \implies f''(x) = 2 > 0[/tex]
This indicates a minimum when [tex]x=-1[/tex]. In fact, since this function is independent of [tex]y[/tex], every point with this [tex]x[/tex] coordinate is a minimum. However,
[tex]x^2 + 2x = (x + 1)^2 - 1 \ge -1[/tex]
for all [tex]x[/tex], so (-1, 1) and all the other points [tex](-1,y)[/tex] are actually global minima.
For the fourth function, check the sign of the Hessian determinant at (-1, 1).
[tex]H(x,y) = \begin{bmatrix} f_{xx} & f_{xy} \\ f_{yx} & f_{yy} \end{bmatrix} = \begin{bmatrix} -2/x^3 & 1 \\ 1 & -2/y^3 \end{bmatrix} \implies \det H(-1,-1) = 3 > 0[/tex]
The second derivative with respect to [tex]x[/tex] is -2/(-1) = 2 > 0, so (-1, -1) is indeed a local minimum.
The correct choice is the fourth function.
Find the measure of XY
Answer:
18
Step-by-step explanation:
For this problem, you have to look at the ratios of the corresponding sides.
Side DC and ZY correspond. It has a length of 10 and 15, respectively. So The ratio is 2:3. Same with BC and XY. If 12 is 2, than 3 must be 18 since 12x(2/3)=18
Write the equation y=-3x+3 in function notation using f(x) to denote the function.
The function notation form of the given equation; y = -3x +3 as in the task content is; f(x) = -3(x) +3.
What is the function notation form of the equation?According to the task content, the equation given; y = -3x +3 is to be written in function notation.
Consequently, since the function expression given is linear in variable X, it follows that the required function notation is;
f(x) = -3x +3.
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Find the value of z.
answer choices
A. 40
B. 56
C. 62
D. 80
Answer:
40°
Step-by-step explanation:
Using external angle intercepted arcs calculation:
50° = 1/2 (210-x) shows x = 110°
then z = 360 - 210 -110 = 40°
A rhombus is a four-sided figure with all sides the same length. Points F(-2,-2), G(-2, 3), and H(2, 6) are three vertices of rhombus FGHJ. Vertex J is directly below vertex H. What is the perimeter of the rhombus? Show your work.
Answer:
20
Step-by-step explanation:
The sides of the 4-sided figure are the same length, so we can find the perimeter (sum of side lengths) by multiplying one side length by 4.
Side lengthPoints F(-2, -2) and G(-2, 3) lie on the same vertical line: x = -2. The distance between them is the difference of their y-coordinates:
FG = (3 -(-2)) = 5
Each side is 5 units long.
PerimeterThe length of the four sides is ...
P = 4s = 4(5) = 20
The perimeter of the rhombus is 20 units.
15. Find the young modulus of a brass rod of diameter 25mm and of length 250mm which is
subjected to a tensile load of 50KN when the extension of the rod is equal to 0.3mm.
The Young Modulus of the brass rod ≈ 8.5 × 10¹⁰ Pa or N/m².
How to find the young modulus of a brass rod?
Given: Physical Properties of the Brass rod exist
Length, L = 250 mm
Radius, R = Diameter / 2 = 25/2 mm
Load of 50 kN hanging on the brass rod which results in elongation of the rod to 0.3 mm.
To estimate the Young Modulus of the brass rod we will require Stress on the rod, Ratio of elongation to the total length.
To find the stress on the rod,
Stress(Pressure) = Force / Area
⇒ Stress = 50,000 / (Area of cross-section)
The rod exists shaped like a cylinder then the area of its cross-section will be πR² ( R = radius)
⇒ Stress = 50000 / (π (25/2 mm)² )
The force exists given in newton, then we must convert the unit of the area into m² to obtain the solution in pascal.
1 mm = 0.001 m
⇒ Stress = 50,000 / 22/7 ( 25/2 × 10⁻³ m)²
take, π = 22/7
⇒ Stress = 50000 / ( 22/7 × 625 / 4 × 10⁻⁶ )
⇒ Stress = 50000 / ( 11/14 × 625 × 10⁻6 )
⇒ Stress = 50000 × 14 × 10⁶ / 625×11
⇒ Stress = 80 × 14 × 10⁶ / 11
⇒ Stress = 1120/11 × 10⁶ Pa
Now, that we maintain Stressed, to estimate Strain (ratio of elongation to original length),
⇒ Strain = (Elongation) / (Original length)
⇒ Strain = 0.3 / 250
⇒ Strain = 3 / 2500
Therefore, Young Modulus, Y = Stress / Strain
⇒ Y = 1120/11 × 10⁶ / 3/2500
⇒ Y = 1120/11 × 2500/3 × 10⁶
⇒ Y = 101.8 × 833.3 × 10⁶
⇒ Y = 84829.94 × 10⁶
⇒ Y ≈ 8.5 × 10¹⁰ Pa
Therefore, the Young Modulus of the brass rod ≈ 8.5 × 10¹⁰ Pa or N/m².
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Dominique has been working at an regular rate of $14. He works 54 hours per week and is paid time and a half for overtime. What is Dominique's average hourly rate?
Based on the given task content about the average hourly rate, Dominique's average hourly rate is $0.26.
Average hourly rateRegular rate of Dominique payment = $14Number of hours worked = 54 hoursAverage hourly rate = Regular rate of Dominique's payment ÷ Number of hours worked
= $14 / 54 hours
= 0.25925925925925
Approximately,
Average hourly rate = $0.26
Therefore, Dominique's average hourly rate is $0.26
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What is the solution to the equation 4 + = 6? y = 1 y = 4 y = 500 y = 2000
Step-by-step explanation:
pls make did make sense, darling!!
Work out the upper quartile of this list of numbers: 3,4,1,2,9
Answer:
23 24
it is the answer it is answered
JD Scott I have no idea how to go but she is kind I don't really care about
Write an equation of the line that passes through a pair of points:
(-3,-1), (2, 2)
y = 3/5 x - 5/4
y = 3/5 x + 4/5
y=3/5 x -4/5
y=-3/5 x + 4/5
Answer:
The equation is y=⅗x+⅘
Step-by-step explanation:
Greetings!First,find the slope of the two pts.
. m=(y₂-y₁)/(x₂-x₁).. substitute values m=(2-(-1))/(2-(-3)... substraction and simplify m=⅗... value of mSecondly, apply the equation formula Which is
y=mx+bSo, we have to solve for b using one of the two points that are given let's just take the second point (2,2) and solve for b.
y=mx+b2=⅗(2)+b...substitute given values2=6/5+b...solve for b subtract 6/5 from both sides2-6/5=6/5-6/5+b⅘=bFinally, substitute all the values on y=mx+b
Thus, y=⅗x+⅘.
Find all of the zeros for f(x).
f(x) = 6x³ + 25x² + 2x − 8
Arrange your answers from smallest to largest.
(-4, 0)
(-0.667, 0)
(0.5, 0)
john likes to walk the steps of the department he works for during lunch break. There are s steps in his department. Today John would like to walk the steps of the taller building next door. The number of steps in the taller building next door is 27 less than 6 times the number of steps in John's department. Which expression represents the number of steps in the taller building next door in terms of s?
Find the sum of the infinite geometric sequence that begins 1/12, 1/18, 1/27, …
Answer:
1/4
Step-by-step explanation:
The sum of an infinite geometric series is given by the formula ...
S = a/(1 -r)
where 'a' is the first term, and r is the common ratio.
ApplicationHere, the first term is 1/12, and the common ratio is ...
(1/18)/(1/12) = 12/18 = 2/3
Then the sum is ...
S = (1/12)/(1 -2/3) = (1/12)/(1/3) = 3/12 = 1/4
The sum of the infinite series is 1/4.
5 and 6 thousandths in standard form
5 and 6 thousandths in standard form is 5.006
How to express the number in standard form?The number is given as:
5 and 6 thousandths
This can be rewritten as
5 + 6 thousandths
Express as numbers
5 + 0.006
Evaluate the sum
5.006
Hence, 5 and 6 thousandths in standard form is 5.006
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Translate the sentence into an equation using n to represent the unknown number. Then solve the equation for n.
a number subtracted from 46 is -21
a.
46 minus n = negative 21. n = 67
b.
46 minus 21 = n. n = 67
c.
46 minus 21 = n. n = 25
d.
46 minus n = negative 21. n = 75
Answer: a.
Step-by-step explanation:
46 is subtracted by n to get -21 so the equation is 46 - n = -21
Add n on both sides; 46 - n + n = -21 + n; 46 = -21 + n
Add 21 on both sides; 46 + 21 = -21 + n + 21; 67 = n
So n = 67
Which of the following is equivalent to √√8?
02
O√√2
2√√√2
2 + √2
Answer:
The correct answer is √2 (√√2)
Step-by-step explanation:
√8 = √(4.2) = 2 √2
√√8 = √(2√2) = √2 (√√2)
Answer:
2 √2 (C)
and to the second question the answer is..
1 (B)
9 (C)
Step-by-step explanation:
I answered it on ed 2022
The probability that Greg is on time for a given class is 14% . If there are 30 classes during the semester, what is the best estimate of the number of times out of 30 that Greg is on time to class? Round your answer to the nearest integer.
The number of times that Greg is on time to class is 4
How to estimate the number of times that Greg is on time to class?The given parameters are:
Probability that Greg is on time, p = 14%
The sample size, n = 30
The estimate of the number of times that Greg is on time to class is
E(x) = np
Substitute the known values in the above equation
E(x) = 30 * 13%
Evaluate the product
E(x) = 3.9
Approximate
E(x) = 4
Hence, the number of times that Greg is on time to class is 4
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ASAP HELP ME WITH THIS
Answer:
isosceles trapezoind
Step-by-step explanation:
An isosceles trapezoid is a trapezoid with congruent base angles.
Find the measure of Angle BAC.
Applying the inscribed angle theorem, the measure of angle BAC is: 110°.
What is the Inscribed Angle Theorem?According to the inscribed angle theorem, the measure of angle BAC is half the measure of the intercepted arc, x + 50°.
x - 30 + x + 50 = 360
2x + 20 = 360
2x = 360 - 20
2x = 340
x = 170
m∠BAC = 1/2(x + 50)
Plug in the value of x
m∠BAC = 1/2(170 + 50)
m∠BAC = 110°
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