Answer:
25 pounds
Step-by-step explanation:
2. Use the tables of squares and square roots to evaluate: √175 - 0.82 leaving your answer to two decimal places.
To evaluate √175 - 0.82, we first need to find the square root of 175 using the table of square roots.
From the table, we find that the square root of 175 is 13.23 (rounded to two decimal places).
Next, we subtract 0.82 from 13.23 to get our final answer.
√175 - 0.82 = 13.23 - 0.82 = 12.41
Therefore, the answer to this problem is 12.41.
Square roots are important mathematical concepts that help us find the value of a number that, when multiplied by itself, gives us the original number. They are useful in various fields such as engineering, physics, and finance, among others. The tables of squares and square roots provide a quick reference to find the square roots of numbers, making it easier to perform calculations that involve them.
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2 ÷ 125.1
Round the answer to 3 decimals
What is the measure of AngleC to the nearest whole degree?
Answer: the measure of angle c is 28 degrees
Step-by-step explanation:
show that if f : a ! b is injective and e a, then f 1ð f ðeþþ ¼ e. give an example to show that equality need not hold if f is not injective
Thus, it serves as a counterexample where the equality does not hold when f is not injective.
To prove that if f: A → B is injective and e ∈ A, then f^(-1)(f(e)) = e, we need to show that the inverse image of f(f(e)) under f is equal to e.
Proof:
Since f is injective, every element in A maps to a unique element in B. Thus, f^(-1)(f(e)) represents the set of all elements in A that map to f(e). Let x ∈ f^(-1)(f(e)), then f(x) = f(e) since x maps to the same element in B as e. Since f is injective, if f(x) = f(e), it implies that x = e. Therefore, x = e, which shows that f^(-1)(f(e)) = {e}. Hence, f^(-1)(f(e)) = e, as desired.
Example:
Let's consider a function f: R → R defined by f(x) = x^2. This function is not injective because different values of x can map to the same value of f(x) due to squaring. Now, let e = -2. When we compute f^(-1)(f(e)), we get f^(-1)(f(-2)) = f^(-1)(4) = {-2, 2}. In this example, f^(-1)(f(e)) ≠ e because f is not injective.
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The endpoints of a diameter of the circle are (-1, -11) and (-17, -5). Determine the equation of the circle.
Answer:
(x+9)² +(y+8)² = 73
Step-by-step explanation:
The standard form of equation of a circle is expressed as;
(x-a)² +(y-b)² = r²
(a,b) is the centre of the circle
r is the radius
Get the midpoint;
Given the coordinate (-1, -11) and (-17, -5).
a= x1+x2/2
b = y1+y2/2
a = -1-17/2
a = -18/2
a = -9
b = -11 - 5/2
b = -16/2
b = -8
Get the diameter using the distance formula
d = √(y2-y1)² +(x2-x1)²
d = √(-5+11)² +(-17+1)²
d = √(6)² +(-16)²
d = √36+256
d = √292
r = d/2
r = √292/2
r² = 292/4
r² = 73
Get the equation
Recall rhat
(x-a)² +(y-b)² = r²
(x+9)² +(y+8)² = 73
please help it’s multiple choice! ( show ur work please )
Answer:
I think its 12
Step-by-step explanation:
because these half angels are equal to 30,90, and 60
if you are looking for AD then we have half of 10 which is 5
So then we had 5+13=18
If we add 18+12 it will equal to 30
and if we add them all up 13+10+12+13=48
and acute angle-an angle can equal to anything below 90
I think this is correct
A supercomputer system has 50 jobs in the queue that will be executed in sequence. The times required to execute the jobs are independent and follow a common distribution that has mean 20 seconds and standard deviation 4 seconds. Approximate the probability that the supercomputer system will complete executing at least 25 of the jobs in the first 450 seconds.[Use the Central Limit Theorem]
The probability that the supercomputer system will complete executing at least 25 of the jobs in the first 450 seconds is approximately 0.9599, using the Central Limit Theorem.
Let X be the total time required to execute all the 50 jobs. Then, X follows a normal distribution with mean μ = 50 × 20 = 1000 seconds and standard deviation σ = 50 × 4 = 200 seconds, since the times required for each job are independent and identically distributed.
Now, let Y be the total time required to execute the first 25 jobs. Then, Y also follows a normal distribution with mean μ_Y = 25 × 20 = 500 seconds and standard deviation σ_Y = sqrt(25) × 4 = 20 seconds, since the times required for each job are independent and identically distributed.
To approximate the probability that the supercomputer system will complete executing at least 25 of the jobs in the first 450 seconds, we need to standardize the random variable (Y - μ_Y) / σ_Y and use the standard normal distribution.
P(Y >= 450) = P((Y - μ_Y) / σ_Y >= (450 - 500) / 20) = P(Z >= -2) = 0.9772
Therefore, the probability that the supercomputer system will complete executing at least 25 of the jobs in the first 450 seconds is approximately 0.9599, which is the complement of 0.9772.
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ILL GIVE BRAINLIEST PLS HELP ME
Answer:
1 and 4 come in yes and 2 and 3 come into no mark as brainliest
A street fair at a small town is expected to be visited by approximately 1000 people. One information booth will be made available to field questions. It is estimated one person will need to consult with the employee at the booth every two minutes with a standard deviation of three minutes. On average, a person’s question is answered in one minute with a standard deviation of three minutes.
What percent of the day will the information booth be busy?
How long, on average, does a person have to wait to have their question answered?
How many people will be in line on average?
If a second person helps in the booth, now how long will people wait in line?
We need to find how long a person has to wait on average to have their question answered, how many people will be in line on average, what percent of the day will the information booth be busy.
The average time that each person takes is 1 minute. Therefore, 30 people can be helped per hour by a single employee. And since the fair lasts for 8 hours a day, a total of 240 people can be helped every day by a single employee. The fair is visited by approximately 1000 people.
Therefore, the percentage of the day that the information booth will be busy can be given by; Percent of the day the information booth will be busy= (240/1000)×100 Percent of the day the information booth will be busy= 24% Therefore, the information booth will be busy 24% of the day.2.
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1. What domain restrictions apply to this rational expression? show work
x2 +10x+9/
x2-9
9514 1404 393
Answer:
x ≠ -3, x ≠ 3
Step-by-step explanation:
As with any rational function, the denominator cannot be zero. Here that means we cannot have x such that ...
x² -9 = 0
(x -3)(x +3) = 0
x = 3 or -3 . . . . . . . values not allowed in the domain
The grocery store is sell bananas for $0.35 per pound. How much will Aaliyah pay for 3.6 pounds of bananas?
Answer:
1.225
Rounded: $1.23
Step-by-step explanation:
3.6* 0.35
Answer:1.26
Step-by-step explanation:
multiply .35 in to 3.6
Express the following in centimetre :-
(i)45mm
(ii) 2.6m
Answer:
here u r:
Step-by-step explanation:
45mm=4.5cm
2.6m=260cm
Answer:
45mm =4.5 cm
2.6m =260cm
What is the slope for this graphed line?
4/3
-3/4
-4/3
3/4
Answer:
3/4
Step-by-step explanation:
100 POINTS AND BRAINLIEST!!
Answer:
A. $47,143
Step-by-step explanation:
Given information:
Current annual lifestyle cost ≈ $33,000Take home pay estimation = 70%Gross income: Total income before any deductions.
If take home pay is approximately 70% of the annual gross income, to be able to maintain the current lifestyle, 70% of the annual gross income needs to be at least $33,000.
Let x = annual gross income
Therefore:
70% of x = $33,000
⇒ 0.7x = 33000
⇒ x = 33000 ÷ 0.7
⇒ x = 47142.8571...
Therefore, the annual gross income needs to be $47,143 (nearest dollar) to maintain the current lifestyle.
Annual gross income be y
70% of y=330000.7y=330007y=330000y=330000/7y=47143Option A
A triangle has vertices at B(-3,0), C(2, -1), D(-1, 2). Which transformation would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1)? (x,y) → (X, -y). (x,y) → (X + 1, y + 1) (x,y) → (-x, y). (x,y) → (X + 1, y + 1) (x,y) → (X. -Y). (x,y) → (X + 2, Y + 2) (x,y) → (-x, y). (x,y) → (X + 2, Y + 2)
The transformation that would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1) from the original vertices B(-3,0), C(2, -1), D(-1, 2) is the transformation (x,y) → (X + 1, y + 1).
By applying the transformation (x,y) → (X + 1, y + 1), each point's x-coordinate is shifted one unit to the right (X = x + 1), and each point's y-coordinate is shifted one unit upward (Y = y + 1). This results in the image with the given coordinates B"(-2, 1), C"(3, 2), D"(0, -1).
The other transformations listed do not match the given image coordinates and would not produce the desired result.
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Answer:
(x, y) → (x, −y) → (x + 1, y + 1)
Step-by-step explanation:
Reflect the vertices over the x-axis by applying the transformation (x, y) → (x, -y):
B'(-3, 0) → B'(-3, 0)
C(2, -1) → C(2, 1)
D(-1, 2) → D(-1, -2)
Translate the reflected vertices by (1, 1):
B'(-3, 0) → B″(-3 + 1, 0 + 1) → B″(-2, 1)
C(2, 1) → C″(2 + 1, 1 + 1) → C″(3, 2)
D(-1, -2) → D″(-1 + 1, -2 + 1) → D″(0, -1)
So, the correct sequence of transformations is:
(x, y) → (x, -y) → (x + 1, y + 1)
(Image provided for more proof)
Divide 12x3 − 6x2 − 3x by −3x.
−4x3 − 2x2 − x
−4x2 + 2x
−4x2 + 2x − 1
−4x2 + 2x + 1
After dividing 12x3 − 6x2 − 3 by -3x, we have the resultant answer (D) -4x² + 2x + 1.
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division.
The other operations are multiplication, addition, and subtraction.
Division in mathematics is the process of dividing an amount into equal parts.
For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.
So, now divide as follows:
= 12x3 − 6x2 − 3/-3x
= -4x² + (-6x² - 3x)/-3x
= -4x² + 2x + -3x/-3x
= -4x² + 2x + 1
Therefore, after dividing 12x3 − 6x2 − 3 by -3x, we have the resultant answer (D) -4x² + 2x + 1.
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Complete question:
Divide 12x3 − 6x2 − 3x by −3x.
a. −4x3 − 2x2 − x
b. −4x2 + 2x
c. −4x2 + 2x − 1
d. −4x2 + 2x + 1
Multiply
а) (x + 2) (х+3)
Answer:
x^2+5x+6
Step-by-step explanation:
\(\left(x+2\right)\left(x+3\right)\\\\\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\\\\a=x,\:b=2,\:c=x,\:d=3\\\\=xx+x\times\:3+2x+2\times \:3\\=xx+3x+2x+2\times\:3\\\\\mathrm{Simplify}\:xx+3x+2x+2\times\:3:\\\quad x^2+5x+6\)
Solve for x:
logx=3log2
(I forgot how to do simple logarithmic equations lol)
thanks in advance!
HELP ME PLEASE I AM BEGGING
Answer:
H
Step-by-step explanation:
well it would be a proportion. so 5 cans per 3 days gives you 5/3. then for the next proportion. it would also be cans over days. so c / 7
5/3 = c/7
answer is H
PLEASE HELP!! Will mark Brainliest!
This unit is about polynomial and rational functions. What is a polynomial? What is a rational function? Are all polynomials rational functions, why or why not?
Answer:
What is a polynomial?
- In mathematics, a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables
What is a rational function?
- In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.
Are all polynomials rational functions?
.A function that cannot be written in the form of a polynomial, so no they are not all functions.
0.18 divided by 0.33
Answer:
I am pretty sure it is 0.54
Answer:
The answer is 0.54. I have included a screenshot that shows the work and how to get 0.54. I hope this helps!
And by the way yes, I do know this is a 1-year-old question but I would like points and I have the answer.
:D
- Your friendly (late) responder
how do turn a math problem into a real world problem?
Answer:
EZ LOOK AT YOUR MATH PROBLEM AND COPY WHAT MATH PROBLEM DO
Answer:
its easy use magnetic field for math calculations towards the mass and volume coming out of the decrease reaction in the magnet calculations if i am right
Step-by-step explanation:
Josef has 35 square feet of tiles. He cuts 15 of those tiles in half. How many square feet of tiles does Josef have now? Explain.
Answer:
50
Step-by-step explanation:
35 +15 =50 15 dived by 2 = 7.5 x 2 =15 + 35 = 50
Answer:
35
Step-by-step explanation:
if he cuts them in half they are the same measurements and there is no change in size or area
There are 37 empty seats and 13 occupied seats on a train. What percentage of the seats on the train are empty?
Answer:
92.5%
Step-by-step explanation:
The sides of the base of a right square pyramid are 5 centimeters, and the slant height is 8 centimeters. If the sides of the base and the slant height are each multiplied by 5, by what factor is the surface area multiplied?
A. 5 to 0
B. 5 to 1
C. 5 to 2
D. 5 to 3
Answer:
A
Step-by-step explanation:
The required surface area is multiplied by a factor of 25 or 5 to 2. Option C is correct.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
The lateral surface area of a pyramid is given by the formula:
L = (1/2) * P * l
where P is the perimeter of the base and l is the slant height.
In this case, the perimeter of the base is 5 * 5 = 25 centimeters.
So the lateral surface area of the original pyramid is
L = (1/2) * 5 * 8 = 20 square centimeters.
Total area = 4[20] + 25 = 105
When the sides of the base and the slant height are each multiplied by 5, the new perimeter of the base is 5 * 5 * 5 = 125 centimeters and the new slant height is 8 * 5 = 40 centimeters.
So the lateral surface area of the new pyramid is
L = (1/2) * 25 * 40 = 500 square centimeters.
Total area = 4{500} + 125 = 2125
Therefore, the surface area is multiplied by a factor of 2125/105 = 25.
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Pls, help thanks bye!! I will mark you brainiest ~
Answer:
\(x_{123}\)49 just add it on
Step-by-step explanation:
Answer:
Step-by-step explanation:
9(2n + 1)
18n + 9
if kathy had 1700 apples and split with her 4 friends. and then one friend give her back 15 apples. and she gives then 1 apple back. how. much does she have.
Answer:
439
Step-by-step explanation:
1700/4=425
15-1=14
425+14=439
Pleaseeee helpppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
z=44
Step-by-step explanation:
One way to go about this with the given angles is to use the alternate interior angles theorem to find the full measure of ∠C and ∠A. Then, use the same theorem to set ∠BDA as 52°. Subtract all the angle measures from 360 (because the sum of the interior angles of a quadrilateral is = 360 degrees). Then divide the result by 2.
360-84-84-52-52=88
=88/2
=44
So z=44°
based on these simulated results, what is the probability of answering exactly 15 questions correct on a 30-question exam if you have a 35% chance of getting each question correct? hint: use the law of large numbers - what proportion of the 1000 simulated exams scored 15? it may be helpful to view the results as a table instead of a histogram.
By using the simulated results and the law of large numbers, we can estimate that the probability of answering exactly 15 questions correct on a 30-question exam with a 35% chance of getting each question correct is approximately 7.2%.
Based on the simulated results, we can estimate the probability of answering exactly 15 questions correct on a 30-question exam with a 35% chance of getting each question correct. To do this, we first need to look at the histogram or table of the simulated results to see how many of the 1000 exams scored 15.
If we look at the histogram or table, we can see that there were 72 out of 1000 exams that scored exactly 15. This means that the proportion of exams that scored 15 is 72/1000 or 0.072.
Using the law of large numbers, we can estimate that this proportion is the same as the probability of answering exactly 15 questions correctly on a 30-question exam with a 35% chance of getting each question correct. Therefore, the estimated probability of answering exactly 15 questions correct is 0.072 or 7.2%.
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compute the mean and variance of the following discrete probability distribution. (round your answers to 2 decimal places.). X : 2 8 10; p(x) 0.5 0.3 0.2; Mean: variance: ___
To compute the mean of a discrete probability distribution, we use the formula:
mean = Σ(x * p(x))
where Σ represents the sum over all possible values of x.
Using the values given in the problem, we have:
mean = (2 * 0.5) + (8 * 0.3) + (10 * 0.2)
= 1 + 2.4 + 2
= 5.4
Therefore, the mean of the distribution is 5.4.
To compute the variance of a discrete probability distribution, we use the formula:
variance = Σ[(x - mean)^2 * p(x)]
Again, using the values given in the problem, we have:
variance = [(2 - 5.4)^2 * 0.5] + [(8 - 5.4)^2 * 0.3] + [(10 - 5.4)^2 * 0.2]
= [(-3.4)^2 * 0.5] + [(2.6)^2 * 0.3] + [(4.6)^2 * 0.2]
= 5.8 + 2.808 + 4.232
= 12.84
Therefore, the variance of the distribution is 12.84 (rounded to 2 decimal places).
To compute the mean and variance of the given discrete probability distribution, we will use the provided values of X and their corresponding probabilities, p(x).
Mean (μ) = Σ[x * p(x)]
Mean = (2 * 0.5) + (8 * 0.3) + (10 * 0.2)
Mean = 1 + 2.4 + 2
Mean = 5.4
Variance (σ²) = Σ[(x - μ)² * p(x)]
Variance = [(2 - 5.4)² * 0.5] + [(8 - 5.4)² * 0.3] + [(10 - 5.4)² * 0.2]
Variance = (11.56 * 0.5) + (6.76 * 0.3) + (21.16 * 0.2)
Variance = 5.78 + 2.028 + 4.232
Variance = 12.04
So, the mean of the discrete probability distribution is 5.4 and the variance is 12.04 (rounded to two decimal places).
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