Answer:(x-5)/8
Step-by-step explanation:
f(x)=8x+5
let f(x)-1=y
y=8x+5
interchanging x and y
x=8y+5
y=(x-5)/8
Therfore f(x)-1=(x-5)/8
Answer:
x-5/8
Step-by-step explanation:
multiple choice qu 9-23 (static) part j [lo 9-6]j. in attributes sampling, what effect does a decrease in the tolerable deviation rate have on sample size?
The tolerable deviation rate decreases, it necessitates a larger sample size to maintain the desired level of confidence and accuracy in the Sampling size.
In attributes sampling, the tolerable deviation rate refers to the acceptable level of non-conforming items or errors in a population. It represents the maximum rate of deviation or non-conformance that is considered acceptable for a given attribute or characteristic being inspected.
When the tolerable deviation rate is decreased, it means that a lower level of deviation or non-conformance is deemed acceptable. This has an effect on the sample size required for the attributes sampling.
Generally, a decrease in the tolerable deviation rate will lead to an increase in the required sample size. The reason for this is that when the acceptable level of deviation is reduced, it becomes more stringent, and a larger sample is needed to ensure that the observed deviation rate is statistically representative of the population.
By increasing the sample size, there is a higher likelihood of capturing a sufficient number of defective or non-conforming items to make reliable conclusions about the population's quality level. This helps to reduce the risk of accepting a batch or population that actually has a higher defect rate than what is considered tolerable.
the tolerable deviation rate decreases, it necessitates a larger sample size to maintain the desired level of confidence and accuracy in the sampling results. The increased sample size allows for a more precise estimation of the population's quality level, providing greater assurance in decision-making regarding acceptance or rejection of the population based on the observed deviation rate.
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if martha can rake the yard in 4 hours and her brother can rake the yard in 8 hours, how long does it take them to do it together?
Answer: 12
Step-by-step explanation:
add
Bethany can mow her lamily's lawn in 4 hours. Her brother coin can mow the lawn into hoursWhich equation can ve
used to find the number of hours, x, it would take for Bethany and Colin to mow the lawn together?
Answer:
1/x = 1/4 + 1/3
Step-by-step explanation:
In 4 hours Bethany did the whole fraction 1 of the house.
In 1 hour he would do 1/4 of it.
In 3 hours Colin did the whole fraction 1 of the house.
In 1 hour he would do 1/3 of it.
In 1 hour they would both do (1/4 + 1/3)
If it takes both of them x hours to finish 1 whole fraction of the house.
In 1 hour they will both do 1/x
That means that:
1/x = 1/4 + 1/3
That is the equation. x can be solved for.
Calculate the frequency of light that has a wavelength of
4.25 x 10^-9m and a velocity of 300 m/s.
Answer:
The velocity of light, v, is the product of its wavelength, λ , and its frequency, f. This means that the wavelength is the velocity, v, divided by the frequency, f.
Wavelength of light = velocity of light / frequency of light
λ = v/f
λ = Wavelength of light, meters
v = Velocity of light (c = 3.0 x 108 m, for speed of light if not otherwise defined)
f = frequency of light, Hz
Step-by-step explanation:
You are planning a survey of starting salaries for recent business major graduates from your college. An earlier study found that the standard deviation is about $9000. What sample size do you need for your estimate to be within $500 with 90% confidence? 622 1245 877 30
The sample size needed for the estimate to be within $500 with 90% confidence is 31.
We have,
To determine the sample size needed for the estimate to be within $500 with 90% confidence, we can use the formula:
Sample Size = (Z x Standard Deviation / Margin of Error) ²
In this case, the margin of error is $500, and we want a 90% confidence level, which corresponds to a Z-value of approximately 1.645 (obtained from a standard normal distribution table).
Substituting these values into the formula:
Sample Size = (1.645 x $9000 / $500) ²
Sample Size ≈ 30.071
Rounding up to the nearest whole number, the required sample size is 31.
Therefore,
The sample size needed for the estimate to be within $500 with 90% confidence is 31.
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Help me solve this pleasee
Answer:
B. 65 mStep-by-step explanation:
\(s = \frac{1}{2} (u + v)t \\ s = \frac{1}{2} (6 + 20)5 \\ s = \frac{1}{2} \times 26 \times 5 \\ s = 13 \times 5 \\ s = 65 \\ \)
Ralph has a new rectangular back yard. The area of the back yard is 32 feet. The Length of the rectangle is 2 times the Width. Find the perimeter of the rectangular back yard.
Answer:
24 feet
Step-by-step explanation:
Let w represent the width of the rectangle. Then its length is 2w, and its area is ...
A = Lw
32 = (2w)(w) = 2w^2 . . . fill in the given values
16 = w^2 . . . . . . . . . . . . divide by 2
4 = w . . . . . . . . . . . . . . take the square root
8 = 2w = L . . . . . . . . . find the length
The dimensions of the yard are 8 feet long and 4 feet wide.
__
The perimeter is ...
P = 2(L +w) = 2(8 +4) = 2(12) = 24 . . . . feet
The perimeter of the rectangular back yard is 24 feet.
Simplify the expression
3[2(x-3) + 2] + 5(x-3)
Answer: 11x-27
Step-by-step explanation:
1- 3[2x-6+2] + 5(x-3)
2- 3[2x-4] + 5x-15
3- 6x-12+5x-15
4- 11x-27
Using the graphical method, solve the simultaneous equations: x + y = 3, 3x + y = 5
Answer: (1,2)
Step-by-step explanation:
1)
x+y=3
y=-x+3
x | 0 | 3 |
y | 3 | 0 |
2)
3x+y=5
y=-3x+5
x | 0 | 2 |
y | 5 | -1 |
Based on the problem statement, state the height, radius, and Pi to substitute into the volume formula to calculate the volume of the cone. What is the approximate volume of a cone with a height of 10 inches and a radius of 3 inches?
Radius r=
in
Height h=
in
Pi=
Need this by 5:00 PM (CST) THANK YOU ALL!
From the given information provided, the approximate volume of the cone is 94.24777 cubic inches.
The volume of a cone can be calculated using the formula V = (1/3) × π × r² × h, where "r" is the radius of the base of the cone, "h" is the height of the cone, and "π" is the mathematical constant approximately equal to 3.14159.
Radius r= 3 inches
Height h= 10 inches
π = 3.14159
Using the formula for the volume of a cone, V = (1/3) × π × r² × h, we can substitute the given values to calculate the volume of the cone:
V = (1/3) × 3.14159 × 3² × 10
V ≈ 94.24777 cubic inches
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porches mom told her to chose 3 crayons out of a box of 64 to use to color w picture for her grade what is the probability that she will choose the red yellow an blue crayons
the complete formula is 64 c 3 =41664
the probability that porche will choose the red an yellow an blue crayon is
Answer:
1/41664
Step-by-step explanation:
porches have 41664 choices, one of them is red and yellow, and blue
please help me!!!!!!
Answer:
please the answer is the third option
Answer:
B. - x+17/12
Step-by-step explanation:
2x-1/3 - 3x+7/4 cress cross
4(2x-1) + 3(-3x +7)/12
8x-4 - 9x+12/12
-1x + 21-4/12
-x+17/12
I. Jack \& Jill each flip a fair coin twice. X is the maximum number of heads that one of them got. 1. Find the pdf for f 2. Find the conditional pdf for X given that X<2. 3. Find the conditional pdf given that Jill got exactly one head.
The pdf for X is given by P(X = 0) = 1/4, P(X = 1) = 1/2, and P(X = 2) = 1/4. When considering the condition X < 2, the conditional pdf for X = 0 is 1/3, and for X = 1 is 2/3. If Jill gets exactly one head, the conditional pdf for X = 0 is 0, and for X = 1 is 1.
The pdf for X:
Let's analyze the possible outcomes:
If both Jack and Jill get 0 or 1 head, X will be 0 or 1, respectively.
If one of them gets 2 heads, X will also be 2.
Hence, the pdf for X is:
P(X = 0) = 1/4
P(X = 1) = 1/2
P(X = 2) = 1/4
The conditional pdf for X given that X < 2:
Since X can only take the values 0, 1, or 2, we need to find the conditional probabilities for X = 0 and X = 1, given that X < 2.
P(X = 0 | X < 2) = P(X = 0) / [P(X = 0) + P(X = 1)] = (1/4) / [(1/4) + (1/2)] = 1/3
P(X = 1 | X < 2) = P(X = 1) / [P(X = 0) + P(X = 1)] = (1/2) / [(1/4) + (1/2)] = 2/3
The conditional pdf given that Jill got exactly one head:
If Jill gets exactly one head, there are three possible outcomes: HT, TH, and HH (H represents a head and T represents a tail). Out of these, only one outcome results in X = 1 (HH is excluded). Therefore, the conditional pdf for X = 1 given that Jill got exactly one head is 1. The conditional pdf for X = 0 given that Jill got exactly one head is 0, as it is not possible for X to be 0 in this scenario.
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The first few steps in deriving the quadratic formula are shown.
A table listing the first few steps in deriving the quadratic formula
Which best explains why is not added to the left side of the equation in the last step shown in the table?
The term StartFraction b squared Over 4 a squared EndFraction is added to the right side of the equation, so it needs to be subtracted from the left side of the equation to balance the sides of the equation.
The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
The term StartFraction b squared Over 4 a squared EndFraction needs to be converted so it has a common denominator before adding it to the left side of the equation to balance the equation.
The square root of the term needs to be found before adding the term to the left side of the equation to balance the sides of the equation.
Answer:
C). The term needs to be converted so it has a common denominator before adding it to the left side of the equation to balance the equation.
Step-by-step explanation:
Hope this helps! :)
Answer:
b
Step-by-step explanation:
A teacher tells her students she is just over 1 and 1/2 billion seconds old.
A.) Right her age in seconds using scientific notation?
B.) How old is she in years?
Answer
47.56468797565 in years
Step-by-step explanation:
im not sure what her age is in seconds with scientific notation though sorry :(
What is the connection string for SQL Server using Windows Authentication?
The connection string for SQL Server using Windows Authentication is as follows:
Server=myServerAddress;Database=myDataBase;Trusted_Connection=True;
Specify the server address in the format "Server=myServerAddress". Replace "myServerAddress" with the name or IP address of the SQL Server instance you want to connect to.
Specify the name of the database you want to connect to in the format "Database=myDataBase". Replace "myDataBase" with the name of the database.
Use Windows Authentication by setting "Trusted_Connection=True". This means that the user running the application is authenticated using their Windows credentials, rather than a SQL Server login.
Use semicolons (;) to separate the different parts of the connection string.
Using Windows Authentication is a more secure and convenient way to connect to a SQL Server database, as it eliminates the need to store and manage login credentials in the application.
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the poster shows how many of its games the football team has won so far. express this information as a fraction, a percent and as a decimal
Answer:
12/15 is the fraction one
12% I think
12.0 I think
Step-by-step explanation:
If you could travel back in time one year, what advice would you give yourself?
10 sentence required for the brainlleist if 2 people answer
1
Answer:
To keep my head up and focus on the good instead of the bad. To understand that life gets hard. I would remind myself that I'm worth it and I am a strong person. I would tell myself that whatever bad happens, something good will come out of it. To remind myself that all the bad I've been through is only making me a stronger person. And I would remind myself that everything happens for a reason, whether I see it now or I see it later on down the road. I would remind myself that it's never too late to change for the better. I would tell my self "you made it this far, your strong". And I would tell myself that I can do whatever I put my mind to. And that nothing is impossible.
Hope this helps :)
Step-by-step explanation:
If someone could travel back in time one year, the advice I would give myself would be to embrace change and adaptability. The world is constantly evolving, and it is important to stay open-minded and flexible in order to thrive.
I would encourage myself to be proactive in seeking opportunities for growth and learning, even if they seem daunting or unfamiliar at first. Additionally, I would remind myself to prioritize self-care and mental well-being. It is easy to get caught up in the hustle and bustle of daily life, but taking time for oneself is crucial.
Whether it be spending time in nature, practicing mindfulness, or pursuing hobbies and interests, nurturing my own happiness should be a priority. Lastly, I would advise myself not to dwell on past mistakes or missed opportunities.
Every setback is an opportunity for growth, and it is important to learn from these experiences rather than letting them define me. By adopting a positive mindset and focusing on the present moment, I can ensure that I make the most of every opportunity that comes my way.
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Mr Jones has 6 fins of cookies. Each tin contains 88 cookies. He wants to give all the cookies equally to his 4 children. How many cookies will each child receive?
and please show solutions
Answer:
Each child will receive 22 cookies.
6 tins of cookies x 88 cookies per tin = 528 total cookies
528 total cookies / 4 children = 132 cookies per child
132 cookies per child / 6 cookies in a tin = 22 cookies per child
Andres is going to invest in an account paying an interest rate of 4% compounded
continuously. How much would Andres need to invest, to the nearest dollar, for the
value of the account to reach $4,700 in 11 years?
\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 4700\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &11 \end{cases} \\\\\\ 4700=Pe^{0.04\cdot 11} \implies 4700=Pe^{0.44}\implies \cfrac{4700}{e^{0.44}}=P\implies 3027\approx P\)
simplify
d^9 ÷ d^4 pls help
\(d^5\)
Step-by-step explanation:Recall the Law of Exponents:
\(\frac{a^m}{a^n} = a^{m -n}\\\)
Rewriting \(\frac{d^9}{d^4}\\\):
\(\frac{d^9}{d^4} \\ d^{9 -4} \\ d^5\)
What is the density of a 10g cube and side a=1cm?
Answer:
\( \hookrightarrow \: { \rm{density = \frac{mass}{volume} }} \\ \)
mass → 10 gvolume → 1×1×1 = 1 cm³\({ \rm{density = \frac{10}{1} }} \\ \\ { \boxed{ \rm{density = 10 \: g {cm}^{ - 3} }}}\)
the z-score follows a normal distribution with 1 and 0, which is known as the standard normal distribution.
Yes, that is correct.
A z-score, also known as a standard score, is a measure of how many standard deviations a data point is away from the mean of a normal distribution. When the mean is 0 and the standard deviation is 1, the normal distribution is known as the standard normal distribution. Z-scores are useful for comparing data points from different normal distributions and for calculating probabilities in a standard normal distribution. For example, a z-score of 1.5 means that the data point is 1.5 standard deviations above the mean of the standard normal distribution.
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Carlisle Transport had $4,520 cash at the beginning of the period. During the period, the firm collected $1,654 in receivables, paid $1,961 to supplier, had credit sales of $6,916, and incurred cash expenses of $500. What was the cash balance at the end of the period?
To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.
Starting cash balance: $4,520
Cash inflows: $1,654 (receivables collected)
Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)
Total cash inflows: $1,654
Total cash outflows: $1,961 + $500 = $2,461
To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:
Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows
Cash balance at the end of the period = $4,520 + $1,654 - $2,461
Cash balance at the end of the period = $4,520 - $807
Cash balance at the end of the period = $3,713
Therefore, the cash balance at the end of the period is $3,713.
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Which line most accurately represents the line of best fit for the scatter plot?
A graph shows numbers from 0 to 14 on the x axis at increments of 2 and the numbers 0 to 28 on the y axis at increments of 4. Scatter plot shows ordered pairs 2, 5 and 5, 6 and 6, 8 and 8, 10 and 9, 12 and 10, 12 and 11, 14 and 12, 16 and 13, 20. A line labeled A joins ordered pair 0, 0 and 4, 28. A line labeled B joins the ordered pairs 0, 0 and 8, 28. A line labeled C joins the ordered pairs 0, 0 and 13, 28. A line labeled D joins the ordered pairs 0, 0 and 14, 18
Line A
Line B
Line C
Line D
Answer: Line D
Step-by-step explanation:
The points in the scatterplot are closest to line D.
A 117.3 cm²
B 104.8 cm²
C 97.3 cm²
D 71.1 cm²
The Lateral Surface Area of a Right triangular prism is given by:
= (a + b + c) × h
= (ah + bh +ch)
where a, b and c are the dimensions of base and h is the height of the Right triangular prism.
The given dimensions of base are:
a = 5 cm
b = 2.5 cm
c = 5.6 cm
The height of the Right triangular prism is 8 cm.
Now, the Lateral Surface Area of a Right triangular prism will be
= (5 + 2.5 + 5.6) × 8
= (40 + 20 + 44.8)
= 104.8 \(cm^{2}\)
Therefore, the Lateral Surface Area of the Right triangular prism is 104.8 \(cm^{2}\).
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On average, a dolphin swims at a speed of 8 km per hour for about 15 hours per day. What distance does a dolphin travel per day?
Answer:
speed=distance/time
8=distance/15
120km= distance
Step-by-step explanation:
The sides of a regular hexagon are equal in length. The perimeter of the hexagon is at most 24 inches. Find the possible side lengths of the hexagon. Let the lengths of the sides be x.
Answer:
\(0 < \text{x} \le 4\)
If x is an integer, then x is any value in the set {1,2,3,4}
======================================================
Work Shown:
x = length of each side
6x = perimeter of the regular hexagon
The perimeter must be greater than 0.
Also, the perimeter must be less than or equal to 24. This is because of the phrasing "perimeter is at most 24 inches".
In other words, the perimeter is between 0 and 24, excluding 0 and including 24.
\(0 < \text{ perimeter } \le 24\\\\0 < 6\text{x} \le 24\\\\0/6 < 6\text{x}/6 \le 24/6\\\\0 < \text{x} \le 4\\\\\)
If x is an integer, then x can be any value in the set {1,2,3,4}
Examples:
The side length x = 2 leads to a perimeter 6x = 6*2 = 12 inches. This shows why x = 2 is in the set shown above.The side length x = 5 leads to a perimeter 6x = 6*5 = 30 inches. This shows why x = 5 (and larger) is not in the set shown above.A company is redesigning their can of vegetables to make extra-large cans. They need to determine the amount of aluminum it takes to create the new can. How many square inches of aluminum is needed to create the can? Give an exact answer.
A surface area of aluminium needed for the extra-large can is equal to 192π square inches.
How many aluminium are required to manufacture extra-large cans?
In this question we find the case of an extra-large can, whose amount of aluminium has to be determined. Geometrically speaking, the can has a form of right cylinder is:
A = 2π · r · h + 2π · r²
Where:
A - Surface area, in square inches.r - Radius, in inches.h - Height, in inches.If we know that r = 4 in and h = 8 in, then the surface area of the extra-large can is:
A = 2π · (4 in) · (8 in) + 2π · (8 in)²
A = 64π in² + 128π in²
A = 192π in²
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What is cos H for this triangle?
Enter your answer by filling in the boxes.
cos H=
Answer:
k/j
Step-by-step explanation:
i just took the test, good luck!