A teacher is correcting a student's homework
assignment, but she cannot read one line of the
student's work. The student's work is shown
below, with a blank space representing the
missing line.
Step 1:
- 2x + 11 = -5
Step 2: -2x + 11 – 11 = -5 – 11
Step 3:
-2x = -16
Step 4:
Step 5:
1x = 8
Step 6:
x= 8
Which of the following represents the correct
Step 4 and the property that would be used to
justify the step?
Answers
Answer without Explanation:
B
Related Questions
anybody can help me with this
Answers
Answer:
the answer is a/ 21 kilometers
In a study by a researcher, the Poisson distribution was used to model the number of patients per month referrea to an oncologist. The researchers use a rate of 16 patients per month that are referred to the oncologist. Calculate the probability that in a month:
a) exactly 10 patients are referred to an oncologist. -
b) between five and 15 inclusive are referred to an oncologist.
c) more than 10 are referred to an oncologist
Answers
The probability that exactly 10 patients are referred to an oncologist in a month is 0.036
The probability that between five and 15 inclusive are referred to an oncologist in a month is 0.98.
The probability that more than 10 patients are referred to an oncologist in a month is 0.873
Given:
A researcher used Poisson distribution to model the number of patients per month referred to an oncologist. The researcher uses a rate of 16 patients per month. We have to find the probabilities for different conditions:
a) The probability of exactly 10 patients are referred to an oncologist.
b) The probability that between five and 15 inclusive are referred to an oncologist.
c) The probability that more than 10 are referred to an oncologist.
Solution:
a) The number of patients referred to an oncologist per month follows Poisson distribution with parameter λ = 16.
The probability of exactly 10 patients are referred to an oncologist is:
`P(X = 10) = e^(-λ) * (λ^x) / x!` = `e^(-16) * (16^10) / 10! = 0.036`
Therefore, the probability that exactly 10 patients are referred to an oncologist in a month is 0.036.
b) The probability that between five and 15 inclusive are referred to an oncologist is:
`P(5 ≤ X ≤ 15) = P(X ≤ 15) - P(X ≤ 4)``= ∑_(x=0)^4 (e^(-16) * (16^x) / x!) + ∑_(x=5)^15 (e^(-16) * (16^x) / x!)`≈ 0.98
Therefore, the probability that between five and 15 inclusive are referred to an oncologist in a month is 0.98.
c) The probability that more than 10 are referred to an oncologist is:
`P(X > 10) = 1 - P(X ≤ 10)` `= 1 - ∑_(x=0)^10 (e^(-16) * (16^x) / x!)` ≈ 0.873
Therefore, the probability that more than 10 patients are referred to an oncologist in a month is 0.873.
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Greyson and Preston have a piece of paper that is 10 inches by 9 inches. What is the area of the paper?
Answers
Answer:
90
Step-by-step explanation:
David had $35 to spend at the fair. If the admission to the fair is $4.5 and the rides cost $1.50 each, what is the greatest number of rides David can go on?
Answers
Answer:
20 rides
Step-by-step explanation:
35-4.5=30.5
20*1.5=30 and 30 plus 4.5 equals 34.5
Marcelina has over 500 500500 songs on her mobile phone, and she wants to estimate the average length of the songs (in minutes). She takes an SRS of 28 2828 songs on her phone and calculates a sample mean of 3.4 3.43, point, 4 minutes and a standard deviation of 0.72 0.720, point, 72 minutes. The song lengths in the sample were roughly symmetric with no clear outliers. Based on this sample, which of the following is a 99 % 99%99, percent confidence interval for the mean length (in minutes) of the songs on her phone?
Answers
Answer:
The 99% confidence interval for the mean length of the songs on Marcelina's phone is approximately (3.08 minutes, 3.78 minutes).
Step-by-step explanation:
To calculate the 99% confidence interval for the mean length of the songs on Marcelina's phone, we can use the formula:
Confidence Interval = Sample Mean ± (Z * Standard Error)
Where:
Sample Mean is the mean length of the sample songs (3.43 minutes).
Z is the critical value associated with the desired confidence level (99% confidence level corresponds to a Z-value of approximately 2.576).
Standard Error is the standard deviation of the sample divided by the square root of the sample size.
Given that the sample size is 28 songs and the standard deviation is 0.72 minutes, we can calculate the standard error as:
Standard Error = Standard Deviation / √(Sample Size)
Standard Error = 0.72 / √28 ≈ 0.136
Now we can substitute the values into the formula:
Confidence Interval = 3.43 ± (2.576 * 0.136)
Calculating the confidence interval:
Confidence Interval = 3.43 ± 0.350
Confidence Interval = (3.08, 3.78)
Therefore, based on this sample, the 99% confidence interval for the mean length of the songs on Marcelina's phone is approximately (3.08 minutes, 3.78 minutes).
Hope this helps!
Franco Co-operation makes iron benches, they want to move their production unit to a new location. The new production plant will cost SAR 200000 to construct Variable costs of production of each bench are SAR 200 and the selling price of each bench is SAR 250. Determine the break-even point for bench production at the new plant?
Answers
The break-even point for bench production at the new plant is 4000 units.
The new production plant of Franco Cooperation will cost SAR 200000 to construct.
The variable costs of production of each bench are SAR 200. The selling price of each bench is SAR 250. We can find out the break-even point of bench production at the new plant by using the break-even formula.
Break-even point (in units) = Fixed costs / Contribution margin per unitWhere,
F = Fixed costs
P = Price per unit
V = Variable cost per unit
Contribution margin per unit = Price per unit - Variable cost per unit
First, let's calculate the contribution margin per unit.
P = Selling price of each bench = SAR 250V = Variable cost per unit = SAR 200
Contribution margin per unit = P - V= SAR 250 - SAR 200= SAR 50
Now, let's calculate the break-even point.
Fixed costs (F) = Cost of constructing the new plant= SAR 200000
Contribution margin per unit = SAR 50
Break-even point (in units) = F / Contribution margin per unit= SAR 200000 / SAR 50= 4000.
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The break-even point for bench production at the new plant can be found by dividing the fixed costs by the contribution margin per unit.
The break-even point for bench production at the new plant is 4000 benches.
To determine the break-even point, we need to calculate the contribution margin per unit. Contribution margin per unit is the amount left over after deducting the variable costs from the selling price. It is also called unit contribution margin. Therefore, the contribution margin per unit = Selling price per unit - Variable cost per unit
= SAR 250 - SAR 200
= SAR 50
Now, we can use the formula to calculate the break-even point:
Break-even point = Fixed costs / Contribution margin per unit
Fixed costs = cost of new production plant
= SAR 200000
Contribution margin per unit = SAR 50
Therefore, Break-even point = SAR 200000 / SAR 50
= 4000 benches
The break-even point for bench production at the new plant is 4000 benches.
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find the solution to mx cx kx=f(t) for an arbitrary function f(t), x(0)=0, x'(0)=0
Answers
Step-by-step explanation:
The given equation `mx cx kx=f(t)` is a second-order linear differential equation with constant coefficients. The general solution to this type of equation is given by the sum of the complementary solution `x_c(t)` and the particular solution `x_p(t)`.
The complementary solution x_c(t) is the solution to the associated homogeneous equation mx cx kx=0. The characteristic equation for this homogeneous equation is mr^2 + cr + k = 0. Solving this quadratic equation gives two roots r_1 and r_2. The complementary solution can then be written as x_c(t) = C_1e^(r_1t) + C_2e^(r_2t).
The particular solution x_p(t) depends on the form of the function f(t). There are several methods for finding the particular solution, such as undetermined coefficients or variation of parameters.
Once the complementary and particular solutions are found, the general solution to the given differential equation is given by x(t) = x_c(t) + x_p(t). The constants C_1 and C_2 can then be determined using the initial conditions x(0)=0 and x'(0)=0.
Without more information about the function f(t), it is not possible to find a more specific solution to the given differential equation.
convert 123 percent into fraction
Answers
Answer: 123/100
1. 123% means 123 out of 100
1.23 is a decimaland 123/100 OR 123% is the percentage for 123/100.
HOW TO WRITE 123/100 AS A DECMAL?
Step-by-step explanation:
Fraction=123/101
Decmial=1.21782
percentage=121.782%
Please solve as soon as possible thank you I appreciate it!
Answers
7. The short sides of a parallelogram are both 12.0 cm. The acute angles
of the parallelogram are 65°, and the short diagonal is 15.0 cm.
Determine the length of the long sides of the parallelogram. Round
your answer to the nearest tenth of a centimetre.
Please help explain this question
Answers
The length of the longest side of the parallelogram is 14.7 cm.
We have,
Let's denote the length of the long sides of the parallelogram as L.
In a parallelogram, the opposite sides are congruent, so both long sides have the same length.
The Law of Cosines states:
c² = a² + b² - 2ab cos(C)
Where:
c is the length of the side opposite the angle C,
a and b are the lengths of the other two sides,
C is the measure of the angle opposite side c.
The short sides of the parallelogram are 12.0 cm, and the acute angle is 65°.
Applying the Law of Cosines to find the length of the long side:
[tex]L^2 = 12^2 + 12^2 - 2 * 12 * 12 * cos(65)\\L^2 = 144 + 144 - 288 * cos(65)\\L^2 = 288 - 288 * cos(65)\\L = \sqrt{(288 - 288 * cos(65))}\\L = 14.7 cm[/tex]
(rounded to the nearest tenth of a centimeter)
Thus,
The length of the longest side of the parallelogram is 14.7 cm.
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Jerry ordered 4 items online. He is charged $2.91 per pound for shipping. The items weighed 4.3 pounds, 2 pounds, 3.8 pounds, and 5.9 pounds. How much will he be charged for shipping? (Round to the nearest cent).
Answers
Answer:
46.56 pounds
Step-by-step explanation:
Given data
4.3 pounds
2 pounds
3.8 pounds, and
5.9 pounds
Let us find the total weight of all the items
=4.3+2+3.8+5.9
=16 pounds
We are told that he is charged $2.91 per pound for shipping
Hence the cost of shipping 16 pounds is
=2.91*16
=46.56 pounds
JK and LM are perpendicular diameters of a circle. They are each 12 inches long. What is the approximate length of chord LK? With Explanation Please
Answers
Answer:
8.5 inches
Step-by-step explanation:
Let the center of the circle = C
Now CK = CL = 6
Using Pythagoras theorem
LK^2 = CL^2 + CK^2
= 6^2 +6^2
= 36 + 36
= 72
LK = 72 ^1/2
= ( 36*2)^1/2
= 6(2)^1/2
= 8.5 inches
how do i do this question? i got it wrong and im confused how
Answers
Answer:
im pretty sure youre right :/ dont know why it marked you as wrong
Answer:
I think its F im not sure but i did 12x12 witch is 144 the rest is self explanory
Step-by-step explanation:
Select the function that represents the simple interest formula.
A. A) = P(1 + )- 1, where n is a positive integer
O
B. A(n) = P+ (n-1);• P, where n is a positive integer
O
C. An) = n + (-1). P, where n is a positive integer
O
D. A(n) = (1 - 1)(P:n)', where nis any real number
Answers
Answer:
B. A(n) = P + (n-1)i*P
Step-by-step explanation:
The formula to determine the simple interest formula is given below:
Simple interest = P×r × t
where
P denotes the principal
r denotes the rate of interest
And, t denotes the number of years
Now we replace i with the t
So,
SI = Pni
Now for n-1 years, the simple interest is
SI = P(n - 1)×i
So, the total amount would be
A(n) = P + (n - 1)i × P
I dont know this someone please answer this and show work and FAST! My teacher will call on me soon
Answers
Answer:
I can' see this. Can you show it closer? Please!
Step-by-step explanation:
Answer:
ok maybe itll work with this???
Step-by-step explanation:
file:///C:/Users/apple/Downloads/13f2bddc55b71689635395017a167da1%20(1).pdf
I hope it workksss
Ali travelled 75% of her journey to work by taxi. If his total journey is 12km, what distance did she travel by taxi? don't send in file please
Answers
In how many ways can 6 adults and 3 children stand together in a line so that no two children are next to each other?
Answers
There are 25,200 different ways in which 6 adults and 3 children can stand together in a line such that no two children are next to each other.
To determine the number of ways in which 6 adults and 3 children can stand together in a line such that no two children are next to each other, we can use the concept of permutations.
Let's consider the adults and children as distinct entities. First, we will calculate the number of ways to arrange the adults in a line, and then we will insert the children into the gaps between the adults.
Step 1: Arrange the adults
Since there are 6 adults, there are 6! (6 factorial) ways to arrange them in a line.
Step 2: Insert the children
Now, we have 7 possible positions between the adults where the children can be inserted. These positions include the spaces before the first adult, between each pair of adjacent adults, and after the last adult.
To ensure that no two children are next to each other, we need to choose 3 distinct positions out of the 7 available positions. This can be done in 7C3 ways, which represents the combination of 7 positions taken 3 at a time.
Using the formula for combinations, 7C3 can be calculated as follows:
7C3 = 7! / (3! * (7-3)!)
= 7! / (3! * 4!)
= (7 * 6 * 5) / (3 * 2 * 1)
= 35
Step 3: Multiply the results
Finally, we multiply the number of ways to arrange the adults (6!) by the number of ways to insert the children (35) to obtain the total number of arrangements:
Total number of arrangements = 6! * 35
= 720 * 35
= 25,200
Therefore, there are 25,200 different ways in which 6 adults and 3 children can stand together in a line such that no two children are next to each other.
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= 10. Determine the number of zeros of the function f(x) = 24 – 223 + 922 +2 – 1 in the disk D[0,2].
Answers
The number of zeros of the function f(x) = 24 − 223 + 922 + 2 − 1 in the disk D[0, 2] is two.Answer: Two.
The given function is f(x) = 24 − 223 + 922 + 2 − 1.The number of zeros of the function in the disk D[0, 2] is to be determined.Solution:We need to use Rouche's theorem to find the number of roots of the given function f(x) = 24 − 223 + 922 + 2 − 1 in the disk D[0, 2].
Rouche's theorem: Suppose f and g are holomorphic in the domain D and on the boundary ∂D, |f(z)| > |g(z)| for all z on ∂D, then f(z) and f(z) + g(z) have the same number of zeros in the domain D.
Now, let's consider two functions. Let f(x) = 922 + 2 and g(x) = 24 − 223 − 1.Let z be any complex number such that |z| = 2.
Then we have|f(z)| = |9(2^2) + 2| = 38|g(z)| = |24 − 223 − 1| = 197. By Rouche's theorem,
we have f(z) and f(z) + g(z) have the same number of zeros in the disk D[0, 2].
The function f(z) + g(z) = 922 + 2 + 24 − 223 − 1 = 10 – 223 has two roots in the disk |z| < 2. Hence, the function f(z) = 922 + 2 has two roots in the disk D[0, 2].
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Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar. If the triangles are similar, write a valid singularity statement please help
Answers
Answer:
Not similar
Step-by-step explanation:
HEY GUYS COULD YOU HELP ME WITH THESE TWO QUESTIONS!!! DON'T WORRY YOU'LL GET YOUR POINTS!!
Answers
Answer:
i am unsure
Step-by-step explanation:
I HEART POINTS
x-y=12
Substitute: x-(94-x)=12
Distribute: x-94+x=12
Simplify: 2x=106
Solve: x=53
Plug x back into equation
x-y=12
53-y=12
y=41
x= 53, y=41
Second Question:
8+x=y
x+y = 66
Substitute: x+8+x =66
Simplify: 2x+8 =66
Solve : x=29
Plug x back into equation
x+y=66
29+y=66
y = 37
x=29, y=37
A critical component in a circuit will work properly only if 3 other components all work properly. The probabilities of a failure for the 3 other components are 0.008, 0.015, and 0.022. Find the probability that at least 1 of these 3 components will fail.
Note: Round using three significant figures, if necessary
Answers
Answer: Probability that one of the three components will fail is about 0.045.
Step-by-step explanation:
The following scatter plot depicts the number of chicken pox cases after 1988. The variable x represents the number of years after 1988. The variable y represents the number of cases in thousands.
A graph has number of years after 1988 on the x-axis, and reported cases (thousands) on the y-axis. Points trend on a negative line.
Does there appear to be a linear relationship? Explain your answer.
a.
Yes, there is a linear relationship. The data appears to have a negative correlation.
b.
Yes, there is a linear relationship. The data appears to have a positive correlation.
c.
No, there is not a linear relationship. The data seems random.
d.
No, there is not a linear relationship. There is no line which goes through all the points.
Answers
Answer: D
Step-by-step explanation: On Edge2021
please help me .......
Answers
someone helpp!!!!!!!
Answers
Answer:
the rate of change is 3
Step-by-step explanation:
if im wrong im sorry but if im right give me brainliest
Can some plz help me
Answers
Answer: red 36 m
Step-by-step explanation: base plus base = 18 / 2 = 9 * 4 = 36 m
Answer:
36 m²
Step-by-step explanation:
To answer this question you will need the equation to find the area of a trapezium:
[tex]\frac{(a + b)}{c}[/tex] × height
Substitute the figures into the equation:
[tex]\frac{(6+12)}{2}[/tex] × 4
6+12= 18
After substituting use BIDMAS/ PETMAS to solve
18÷2= 9
9×4= 36 m²
is (x 7) a factor of f(x) = x3 − 3x2 2x − 8? explain your reasoning.
Answers
(x + 7) is a factor of f(x) = x^3 - 3x^2 + 2x - 8. By using synthetic division, we find that the remainder is 0.
To determine if (x + 7) is a factor of the polynomial f(x) = x^3 - 3x^2 + 2x - 8, we can use synthetic division.
Performing synthetic division with the divisor (x + 7), we set up the division as follows:
-7 | 1 -3 2 -8
|_________________
1 -10 72 -520
The numbers in the bottom row of the synthetic division represent the coefficients of the quotient polynomial. In this case, the quotient polynomial is 1x^2 - 10x + 72, and the remainder is -520.
Since the remainder is not zero, (x + 7) is not a factor of f(x). If (x + 7) were a factor, the remainder would be zero.
Therefore, (x + 7) is not a factor of f(x) = x^3 - 3x^2 + 2x - 8.
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Please help me with the question please ASAP I’ll mark u as a brnlist
*2 questions
Answers
Answer:
First answer is 76.50 and the second one is scale factor of 1/2
Step-by-step explanation: Mark brainlist or im deleting my answer :)
Answer:
scale factor = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, that is
scale factor = [tex]\frac{WX}{AB}[/tex] = [tex]\frac{12}{8}[/tex] = [tex]\frac{3}{2}[/tex]
------------------------------------------
1 pizza costs $12.75 and feeds 4
To feed 24 students he needs 24 ÷ 4 = 6 pizzas , then
6 cost = 6 × $12.75 = $76.50
calculate the value of x for the following polygon
(answers me or i'll throw oli london at you )
Answers
Answer:
X = 60 degrees
Answer
80°
Step by Explanation:
the angle right to 60°= 180-60 (linear pair)
= 120°
total angle of 5 sided polygon= 540°
540° = x + 110° + 130° + 100° + 120°
540° = x + 460°
x= 540° - 460°
x = 80°
25 points. Get it before the mod sees it!
gogogogo lol
Answers
Answer:
yy
Step-by-step explanation:
bi
The animal department wants to estimate the kangaroo population. So they marked 30 kangaroos with paint. These kangaroos were then released into the jungle. After four months 600 kangaroos were caught. Among these Kangaroo, 18 were marked. To the nearest whole number,what is the best estimate for the kangaroo population?
Answers
Answer:
1000
Step-by-step explanation:
From the above question
We have the following parameters
30 were intially Marked
600 were caught and out of it 18 was marked
The formula for the best estimate of the population is calculated as:
Total population = Initial marked kangaroo × Number of caught kangaroo/Number of kangaroo marked after they were caught
= 30 × 600/18
= 1000
Answer:
kangaroos are found in austraillia i don't kno where in austrailla u can find one but they are cute as a pumpkin
Step-by-step explanation: