Answer:
2
Step-by-step explanation:
The reciprocal of a number n is \(\frac{1}{n}\)
Here n = 0.5, then reciprocal is
\(\frac{1}{0.5}\) = 2
The annual average rainfall in new york is 50 ⅕ inches
Per year. Write this fraction as a decimal. HELPPP
50.2 should be the anwser i doubled checked with search
and it says it is correct so it should be good.
Step-by-step explanation:
math
a simple random sample is a sample of n observations that has the same probability of being selected from the population as any other sample of n observations. True/False ?
True, a simple random sample is a sample of n observations that has the same probability of being selected from the population as any other sample of n observations.
What does standard deviation mean ?
The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.
Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
What does a simple random sample mean?
A subset of participants is randomly chosen from a population by the researcher using simple random sampling, a sort of probability sampling.
The probability of being chosen is the same for every person in the population. Then, data are gathered from as much of this randomly selected subgroup as possible.
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Find the weighted average of a data set where 20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
The weighted average of a data set is 36.
Here,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
We have to find the weighted average of a data set.
What is Weighted Average?
Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.
Now,
Given data set;
20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.
The weighted average is given by the formula;
\(x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}\)
Hence,
The weighted average of a data set;
x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2
x = 360/10 = 36
Hence, The weighted average of a data set is 36.
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Constance was paid $67,452 this year (12 months) at her sales job. What were her monthly earnings (on average)?
a.) $5,521
b.) $5,621
c.) $5,691
d.) $5,700
Answer:
To solve this problem, simply divide the total amount earned by the time in months it took to earn this total.
Therefore, divide the income of $67,452 by the 12 months it took to earn this much.
Your answer, B) $5,621.
Hope this helps!
Answer:
B
Step-by-step explanation:
67452yearly salary ÷ 12months = 5621hi so the problem is a recipe calls for a total of 3 2/3 cups of flour and sugar. If the recipe calls for 1/4 cup of sugar, how much flour is needed
1. 3 1/12
2. 3 1/4
3. 5/12
4. 3 11/12
Answer:
3 5/12 cups of flour are needed
Step-by-step explanation:
The flour-sugar total is 3 2/3 cups, of which 1/4 cup is sugar. So, to find the amount of flour used, we subtract 1/4 cup (sugar) from the total (3 2/3 cups):
11 1
----- - ---- where 11/3 is the improper fraction form of 3 2/3
3 4
The LCD is 12. Rewriting this subtraction using the LCD, we get:
44 3
---- - ----- = 41/12 (cups) = 3 5/12 cups
12 12
3 5/12 cups of flour are needed
Plzs answer this fast
Hannah buys 13 bottles of orange juice at the corner store for a total cost of $13.65. If
each bottle costs the same amount, how much is each bottle of juice?
Answer: $1.05
Step-by-step explanation:
Divide 13.65 by 13.
13.65 / 13 = 1.05
State the range of the relation.
{(3,-2),(4, -3), (5, -4), (6, 0) }
Pre Algebra Decemile 2
Y+0.9=1.4=y
If you mean. y + 0.9 + 1.4 then the answer would be
\(y + 2.3\)
Brian deposits $7000 into an account that pays simple interest at an annual rate of 3%. He does not make any more deposits. He makes no withdrawals until the end of 5 years when he withdraws all the money. Answer the following questions. If necessary, refer to the list of financial formulas. (a) How much total interest will Brian earn? $ (b) What will the total amount in the account be (including interest)?
Answer:
A)1050
B)8050
Step-by-step explanation:
to find interest we use the formula A= P(1+rt) where P is the initial investment, r is the rate percent, and t is the time interval
for this question we have A=7000(1+3(5)) which gives 8,050 dollars which is the answer to part B
for part A we simply subtract the answer from B from the initial investment so 8050 - 7000 = 1050 made from interest
A Simple Maximization Problem
Consider the following linear programming problem
a. List all the extreme points of the feasible region. b. Find the optimal solution and the objective function value.
c. List the values of all the slack variables.
a. (0,0),(5,0),(3.75,3.75),(3.5,4.5),(0,8); b. x=3.5,y=4.5,OFV=59.5;c.s1=0,s2=2,s3=0
a. (0,0),(5,0),(3.5,4.5),(0,8); b. x=3.5,y=4.5,OFV=59.5;c.s1=0,s2=2,s3=0.
a. (0,0),(5,0),(3.75,3.75),(6,4),(0,8); b. x=6,y=4,OFV=76;c1.s1=5,s2=0,s3=2.
a. (0,0),(5,0),(8,0),(3.5,4.5),(0,8); b. x=8,y=0,OFV=64;c.s1=45,s2=20,s3=0.
a. (0,0),(5,0),(3.75,3.75),(4,6),(0,8); b. x=4,y=6, OFV =74;c1.s1=0,s2=0, s3=2.
a. (0,0),(5,0),(8,0),(3.5,4.5),(0,8),(0,10); b. x=0,y=10,OFV=70;c.s1=25,s2=0,s3=2
a. (0,0),(3,0),(3.75,3.75),(3,5),(0,4); b. x=3,y=5, OFV =59;c1.s1=5,s2=0,s3=0
a. (0,0),(5,0),(3.75, 3.75),(3.5),(0,8); b. x=3, y=5, OFV=59; c1.s1=5, s2=0, s3=0
a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);
b. x = 3.5, y = 4.5, OFV = 59.5;
c. s1 = 0, s2 = 2, s3 = 0.
a. The extreme points of the feasible region are the vertices of the polygon formed by the intersection of the constraint lines. In this case, the extreme points are (0,0), (5,0), (3.75, 3.75), (3.5,4.5), and (0,8).
b. To find the optimal solution and the objective function value, we evaluate the objective function at each extreme point and choose the point that maximizes the objective function. In this case, the point (3.5, 4.5) maximizes the objective function with a value of 59.5. Therefore, the optimal solution is x = 3.5 and y = 4.5, and the objective function value is 59.5.
c. The slack variables represent the surplus or slack in each constraint. We calculate the slack variables by subtracting the actual value of the left-hand side of each constraint from the right-hand side. In this case, the values of the slack variables are s1 = 0 (indicating no slack in the first constraint), s2 = 2 (indicating a surplus of 2 in the second constraint), and s3 = 0 (indicating no slack in the third constraint).
Therefore, the correct option is:
a. (0,0), (5,0), (3.75, 3.75), (3.5,4.5), (0,8);
b. x = 3.5, y = 4.5, OFV = 59.5;
c. s1 = 0, s2 = 2, s3 = 0.
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In the ACME rubber ball factory, a stream of rubber balls, each of mass m, comes out of a horizontal tube at a rate of R per second. These balls fall a distance of h into a bucket of mass M suspended by a rope from the ceiling. If the balls bounce out of the bucket back to their original height when leaving the tube, what is the (average) tension T in the massless rope holding the bucket
Therefore, the average force exerted on the bucket per unit time is given by the change in momentum divided by the time interval: Δp / (1/R) = RΔp.
The average tension T in the massless rope holding the bucket is equal to the total force exerted on the bucket due to the falling rubber balls. This force is equal to the change in momentum of the balls per unit time. When a rubber ball falls into the bucket, it experiences a change in momentum due to the gravitational force acting on it.
The change in momentum is given by the product of the mass of the ball (m) and the change in velocity (v), which is equal to the velocity of the ball when it leaves the tube. Since the balls bounce back to their original height, the change in velocity is twice the initial velocity, as the ball reverses its direction. The time interval between successive ball impacts is 1/R.
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The inverse of the logarithmic function f(x) = log0. 5x is f−1(x) = 0. 5x. What values of a, b, and c complete the table for the inverse function?.
The values of a, b, and c to complete the table for the inverse of the logarithmic function is 2,1 and -2 respectively.
What is the inverse of the logarithmic function?The Inverse of the logarithmic function is an exponential function.
The given logarithmic function is,
\(f(x) = \log_{0. 5}x\)
The inverse of the given logarithmic function is,
\(f^{-1}(x) = 0.5^x.\)
Put the value of x as -1 from the table attached below, to find the value of a.
\(f^{-1}(-1) = 0.5^{(-1)}\\f^{-1}(-1) = 2\)
Similarly, put the value of x as 0 from the table attached below, to find the value of b.
\(f^{-1}(0) = 0.5^{(0)}\\f^{-1}(0) = 1\)
Now, put the value of x as 2 from the table attached below, to find the value of c.
\(f^{-1}(2) = 0.5^{(2)}\\f^{-1}(2) = -2\)
Thus, the values of a, b, and c to complete the table for the inverse of the logarithmic function is 2,1 and -2 respectively.
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To find the distance across a lake, a
surveyor took the measurements in the
figure shown. Use these measurements to
determine how far it is across the lake.
a = ___ yd
(Round the answer to the nearest whole number.)
The distance across the lake, a is 611 yards
Right angle triangle:
Right angle triangle have one of its angles as 90 degrees. Therefore, the side a can be found using trigonometric ratios,
Therefore,
tan 47° = opposite / adjacent
tan 47° = a / 570
cross multiply
a = 570 tan 47°
a = 570 × 1.07236871002
a = 611.250164714
a = 611 yards
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See picture for question
Answer:
b is correct because it is
Step-by-step explanation:
because it is
Answer:
Step-by-step explanation:
well its quite long working out so im not gonna type it
but i didnt get an exact answer but i got to 24.71 closest to the 25 answer
so im not sure but i would take a guess for 25
Which ordered pairs make both inequalities true? Check all that apply. (–2, 2) (0, 0) (1,1) (1, 3) (2, 2)
Answer: (1,1) (2,2)
Step-by-step explanation: got it right on edg
Answer:
C. (1,1)
E. (2, 2)
Step-by-step explanation:
Ms. Johnson has 20 students. 3/5 of her class has at least one pet. How many students in her class have pets?
Answer:
\(12\)
Step-by-step explanation:
\(\frac{3}{5} \times 20\)
\(\frac{60}{5}\)
\(=12\)
Answer:
12 students
Step-by-step explanation:
First make 3/5 into a percent or whole number because it's easier to solve that way. How do you do that? Divide it how it is, so 3/5 = 0.60. So 60% of her class has at least one pet.
Knowing this, we multiply 60% by 20 to know how many students are that 60% that have pets. So 0.6 x 20= 12
12 students have pets in Ms. Johnson's class
Suppose you set up a function to show how many hot dogs you will purchase for a dinner when you have already bought two packages but must buy more, . What is the domain of this function?
The domain of the function is:
h > 0, only integers.
Then the correct option is the first one.
What is the domain of the given function?For a function f(x), we define the domain as the set of the possible values of x that we can use as inputs in the given function.
Here the function is:
f(h) = 6*h + 12
Where h is the number of packages that you buy.
Then h can be only integers larger than zero (as you can't buy half a package or something like that).
Then we conclude that the correct option is the first option.
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Answer please asap!!!
Case 1: The two right triangles are similar.
Case 2: The value of the variable x is equal to 49 / 5 meters.
Case 3: The height of the tree is equal to 91 / 2 meters.
How to determine if two triangles are similar and how to solve a system of two similar triangles
In this problem we need to determine when two triangles are similar and how to find the value of a variable related to a system of two similar triangles.
Case 1 - There is a geometric system formed by two right triangles, whose internal angles are congruent and whose sides are not congruent though proportional. Thus, we conclude that the two right triangles are similar.
Case 2 - The value of the variable can be found by means of the following proportion formula:
8 / 40 = x / 49
x = (8 / 40) × 49
x = 49 / 5
Case 3 - The height of the tree is found by this proportion formula:
h / 260 m = 1.75 m / 10 m
h = (1.75 m / 10 m) × 260 m
h = 91 / 2 m
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I have two turtles. Today, the older turtle's age is $11$ times that of the younger turtle. In $24$ years, the older turtle's age will only be $7$ times that of the younger turtle. If both turtles survive until then, how many years from today will the older turtle's age be $3$ times that of the younger turtle?
Answer: A number which is divided by 5, with the result as 50 less than if the number had been divided by 6 would be; -1500
How to solve Algebra Word Problems?
Let the number be x. We are asked that it is divided by 5, and the result is 50 less than if the number had been divided by 6;
(x/6) - (x/5) = 50
Multiply by 30 to get;
5x - 6x = 1500
-x = 1500
x = -1500
Let the older turtle be represented x and the younger one be y.
Todays age,
Older turtle = 11y years
Younger turtle = y years
Also the equation form as;
11y + 24 = 7(y + 24)
11y + 24 = 7y + 168
11y - 7y = 168 - 24
4y = 144
y = 144/4
y = 36
Thus;
Age of older turtle today = 396 years
Age of younger turtle today = 36 years
Therefore,
3(36 + t) = 396 + t
108 + 3t = 396 + t
2t = 292
t = 292/2
t = 146 years
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Step-by-step explanation:
please help me i have 5 or 6 more questions to answer help me out pleaseeee
Answer: try your best
Step-by-step explanation: i think there is 1, good luck
Factorize (x-y)^2+(x-y)
..............answer..
Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books.
How many minutes will she need to finish labeling all books if she takes no breaks and labels 10 books a minute
Answer:
75 minutes
Step-by-step explanation: 750 divided by 10 is 75
7500 minutes or 125 hours..
In a seventh-grade class of 28 students, there are 16 girls and 12 boys. If one student is randomly chosen to win a prize, what is the probability that a girl is chosen?
Give your answer as a fraction.
Answer:
\(\frac{4}{7}\)
Step-by-step explanation:
There are a total of 28 students, and there are 16 girls.
So the probability that a chosen student would be a girl is \(\frac{16}{28}\) which can be simplified to \(\frac{4}{7}\)
Solve for x. will mark brainlis
Answer:
im not very good at math so maybe 202.5 but that might be a little high
Step-by-step explanation:
Given f(2) = 1093 (92) and g(2) = 30 . Find and simplify (fog) (2)
Refer to image
Given \( f(x)=\log _{3}(9 x) \) and \( g(x)=3^{x} \). Find and simplify \( (f o g)(x) \) \( 2 x \) \( 27^{x} \) \( 2+x \) None of these.
The simplified expression for (f ∘ g)(x) is 2 + x (option d).
To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.
Given:
f(x) = log₃(9x)
g(x) = \(3^x\)
Substituting g(x) into f(x):
(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)
Now, we simplify the expression:
log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)
Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:
log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x
Using the property logₓ\((x^a)\) = a * logₓ(x), we get:
log₃\((3^2)\) + x = 2 * log₃(3) + x
Since logₓ\((x^a)\) = a, where x is the base, we have:
2 * log₃(3) + x = 2 + x
Therefore, (f ∘ g)(x) simplifies to:
(f ∘ g)(x) = 2 + x
So, the correct answer is (d) 2 + x.
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Complete Question:
Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)
(a) 2x
(b) x
(c) \(27^x\)
(d) 2+x
(e) None of these.
can someone pls tell me this answer which I have shown in the screenshot pls
Sorry but your screenshot is very blur. please give clear photo so that we can read question and answer it.
please help with this i will mark
Answer:
miles is the answers for the question
Step-by-step explanation:
please mark me as brainlest
To model the workshop with 3 machines as a continuous-time Markov chain (CTMC), we first need to identify the state space and the transition rates between the states. The state space consists of the possible number of working machines at any given time t, which can be 0, 1, 2, or 3.
Let's define the state space S = {0, 1, 2, 3}, where each state represents the number of working machines.
Now we'll define the transition rates. The transition rates for this CTMC are determined by the failure and repair rates λ and μ, respectively. The failure rate λ is the rate at which a machine fails, and the repair rate μ is the rate at which a failed machine is repaired.
The transition rates can be expressed as follows:
μ
(1 failed machine is repaired)
q(1, 0) = λ (1 working machine fails)
q(1, 2) = μ (1 failed machine is repaired)
q(2, 1) = 2λ (1 of the 2 working machines fails)
q(2, 3) = μ (1 failed machine is repaired)
q(3,2) = 3λ (1 of the 3 working machines fails)
By defining the state space and transition rates, we have modeled the workshop with 3 machines as a continuous-time Markov chain (CTMC).
To model the workshop with 3 machines as a continuous-time Markov chain (CTMC), we need to define the state space, which represents the number of working machines, and the transition rates, which represent the rates of machine failure and repair.
State space: The state space S is defined as S = {0, 1, 2, 3}, where each state represents the number of working machines at any given time.
Transition rates: The transition rates depend on the failure rate λ and repair rate μ. The transition rates are as follows:
q(1, 0): The rate at which 1 working machine fails and becomes 0 (all machines fail).
q(1, 2): The rate at which 1 failed machine is repaired and becomes 2 (1 machine is repaired).
q(2, 1): The rate at which 1 of the 2 working machines fails and becomes 1 (1 machine fails).
q(2, 3): The rate at which 1 failed machine is repaired and becomes 3 (1 machine is repaired).
q(3, 2): The rate at which 1 of the 3 working machines fails and becomes 2 (1 machine fails).
The transition rates are given in terms of the failure rate λ and repair rate μ, representing the probabilities of machines failing or being repaired.
These transition rates determine the probabilities of transitioning between different states of the Markov chain.
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Martine works 41.5 hours a week for 48 weeks a year. Estimate how many hours martine works a year