The probability that at most one sample is mutated in 10 samples is 0.746.
To calculate this probability, we use the binomial distribution formula.
The binomial distribution formula is used to calculate the probability of a certain number of successes (in this case, samples that are mutated) in a certain number of trials (10 samples). We need to find the probability of 1 success or fewer in 10 trials.
This is equal to P(x<=1) = 1 - P(x>1), where x is the number of successes.
For this calculation, we need the following parameters: n = 10 (number of trials), p = 0.15 (probability of a single sample being mutated), and x = 1 (number of successes). So, P(x<=1) = 1 - P(x>1) = 1 - P(x = 2) - P(x = 3) - P(x = 4) - P(x = 5) - P(x = 6) - P(x = 7) - P(x = 8) - P(x = 9) - P(x = 10).
The probability of at most one sample being mutated in 10 samples is calculated by adding the individual probabilities of 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 samples being mutated, which equals 0.746.
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Last month, Cinderella weighed 170 pounds. This morning, her weighing scale showed her weight changed by 10 percent as compared to last month. How much did she weigh this morning?
Cinderella would weigh either 187 or 153 pounds this morning.
What is unit cοnversiοn?Unit cοnversiοn is the prοcess οf cοnverting a quantity expressed in οne unit οf measurement tο anοther equivalent quantity expressed in a different unit οf measurement. It invοlves using cοnversiοn factοrs that relate the twο units οf measurement. This is dοne by multiplying οr dividing the οriginal quantity by a cοnversiοn factοr, which is a ratiο οf the twο units οf measurement that is equal tο οne.
Cinderella's weight increased or decreased by 10%, we can find her weight this morning by multiplying her previous weight by 1.10 (to find a 10% increase) or 0.90 (to find a 10% decrease).
For a 10% increase, Cinderella's weight this morning would be:
170 x 1.10 = 187 pounds
For a 10% decrease, Cinderella's weight this morning would be:
170 x 0.90 = 153 pounds
So depending on whether her weight increased or decreased by 10%, Cinderella would weigh either 187 or 153 pounds this morning.
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By the 46th day, there are 400 water lilies in the pond. the estimate you made:____.a. close to 46 (or exactly right) because it was estimated well.b. too low because the quick exponential growth was not accounted for. c. too high because the exponential growth was overestimated.
By the 46th day, there are 400 water lilies in the pond. the estimate you made: a). close to 46 (or exactly right) because it was estimated well.
We know that the regression equation is: y = 3.915(1.106)ˣ and that the pond can hold 400 water lilies.
y = 3.915(1.106)ˣ
Here, y is equal to the number of water lilies the pond can hold.
So, y = 400
And, x is the required time taken.
So,
400 = 3.915(1.106)ˣ
⇒ (1.106)ˣ = 400/3.915
⇒ (1.106)ˣ = 102.17
Taking logarithm on both sides, we get
log (1.106)ˣ = log (102.17)
⇒ x log (1.106) = log (102.17) .............. [log aˣ = x loga]
⇒ x = [log (102.17)/log (1.106)]
⇒ x = 45.92
x ≅ 46
So, the pond will take 46 days to become full.
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Complete question:
Regression equation: y = 3.915(1.106)ˣ . The pond can hold 400 water lilies. by what day will the pond be full? write and solve an equation. the pond will be full by the end of day.
Answer:
b
Step-by-step explanation:
just did it
after a (not very successful) trick or treating round, candice has 12 tootsie rolls and 10 twizzlers in her pillow case. her mother asks her to share the loot with her three younger brothers. (a) how many different ways can she do this?
Using the stars and bars technique, Candice can distribute her 24 pieces of candy among her four siblings in 2,925 different ways. If she must give each sibling at least one of each type of candy, there are 67,200 ways to distribute the candy among the four siblings.
(A) To solve this problem, we can use the technique of stars and bars. We have a total of 24 pieces of candy to share among four children. We can represent this using 24 stars, with 3 bars to separate the stars into four groups, one for each child. For example, the following arrangement represents giving 6 pieces of candy to the first child, 10 pieces to the second child, 3 pieces to the third child, and 5 pieces to the fourth child:
*****|**********|***|****
The number of ways to arrange the stars and bars is equal to the number of ways to choose 3 positions out of the 27 possible positions for the stars and bars. Therefore, the number of different ways that Candice can share her candy with her three younger brothers is:
C(27, 3) = 27! / (3! * 24!) = 2925
(B) Now, we need to ensure that each child receives at least one Tootsie roll and one Twizzler. We can give each child one of each candy to start, and then distribute the remaining 13 Tootsie rolls and 7 Twizzlers using the stars and bars technique. We have 13 Tootsie rolls and 7 Twizzlers to distribute among four children, which can be represented using 13 stars and 3 bars for the Tootsie rolls, and 7 stars and 3 bars for the Twizzlers. The number of ways to arrange the stars and bars for each type of candy is:
C(16, 3) = 560 for the Tootsie rolls
C(10, 3) = 120 for the Twizzlers
To find the total number of ways to distribute the candy, we can multiply the number of ways for each type of candy:
560 * 120 = 67200
Therefore, there are 67,200 different ways for Candice to share her candy with her three younger brothers after her mother asks her to give at least one of each type of candies to each of her brothers.
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Complete question:
After a (not very successful) trick or treating round, Candice has 15 Tootsie rolls and 9 Twizzlers in her pillow case. Her mother asks her to share some of the loot with her three younger brothers.
(A) How many different ways can she do this?
(B) How many different ways can she do this after her Mother asks her to give at least one of each type of candies to each of her brothers?
There are 12 boys and 12 girls in Ms. Mooney’s homeroom class. Ms. Mooney will randomly pick 1 student to take attendance today.
Which statement explains how to find the probability that Sara, a student from Ms. Mooney’s homeroom class, will be the student picked?
PLEASE HELP
Answer:
There is a [tex]\frac{1}{24}[/tex] chance that Sara will be picked.
There is a 4.16% chance that Sara will be picked.
Step-by-step explanation:
there are 12 boys + 12 girls in Mooney's class => 24 total students
Sara is ONE out of those students
Sara is [tex]\frac{1}{24}[/tex].
[tex]\frac{1}{24}[/tex] as a percent is 4.16%.
Could someone please help me I don’t understand this
Duri wants their backpack to weigh less than 45 pounds.
Use w to represent weights where Duri can carry their backpack.
This inequality represents that the weight of Duri's backpack is w < 45
How to represent the backpack as an expressionGiven that
Weight = Less than 45 pounds
We can use the inequality symbol to represent Duri's weight limit as follows:
w < 45
This inequality states that the weight of Duri's backpack, represented by w, must be less than 45 pounds.
Any weight value for w that satisfies this inequality is within Duri's weight limit and can be carried in their backpack.
For example, if Duri's backpack weighs 30 pounds, then w = 30 satisfies the inequality w < 45, so Duri can carry this weight.
However, if the backpack weighs 50 pounds, then w = 50 does not satisfy the inequality w < 45, so Duri cannot carry this weight.
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Which recursive formula would produce the sequence
-44, -46,-48, ...
The recursive formula that represents the given sequence is:
(B) an = -44aₙ₋₁ - 2
What is the recursive formula?Any term of a series can be defined by its preceding term in a recursive formula (s).
For instance: An arithmetic series has the recursive formula a = an-1 + d.
An = An-1r is the recursive formula for a geometric sequence.
Because each phrase, an, goes back to the preceding term, an1, the formula an=2an1+3 is recursive.
According to this equation, any term we want is equal to two times the previous term plus three.
This sequence's first three terms are 4, 11, and 25.
So, we have the sequence:
-44, -46,-48, ...
Now, we have d that is:
= -48 - (-46)
= -48 + 46
= -2
The 1st term would be: a1 = -44
Then, the correct formula would be: an = -44aₙ₋₁ - 2
Therefore, the recursive formula that represents the given sequence is:
(B) an = -44aₙ₋₁ - 2
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bethany used data of the money she earned over the past 5 years to estimate the amount she would earn 10 years from now. this is an example of: group of answer choices
Extrapolation is a useful tool for predicting future values based on past data
Bethany used a method of predicting future values from past values known as extrapolation. Extrapolation is a powerful tool for predicting future values, but it is important to remember that it only works if the underlying trend in the data does not change. In Bethany's case, she is making an assumption that her income over the next 10 years will follow the same trend as it did in the past 5 years.
In extrapolation, the assumption is that the data points that were observed in the past will continue in the same direction and with the same intensity into the future. Therefore, extrapolation can be used to make predictions about future values even when no new data points have been collected. It is important to remember, however, that any predictions made using extrapolation are only estimates and may not be accurate.
Extrapolation is used in many different fields, such as finance, economics, medicine, engineering, and even weather forecasting. For example, stock analysts may use extrapolation to make predictions about future stock prices based on past prices. Similarly, meteorologists may use extrapolation to make predictions about future weather conditions based on historical weather data.
Overall, extrapolation is a useful tool for predicting future values based on past data. However, it is important to remember that it only works when the underlying trend in the data does not change. Additionally, any predictions made using extrapolation are only estimates and may not be accurate.
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please help me solve this i’ll mark brainliest
Answer:
Step-by-step explanation:
From the parallel lines, we know that corresponding angles are congruent, so:
(2y+78) = X
We also know that vertically opposite angles are equal:
X=5y
Substitute for X:
2y+78=5y
Solve:
2x-5x=-78
-3x=-78
x=26
Therefore, the measure of angle WXZ is 26.
A farmer wants to fence in a rectangular portion of land along one side of her barn. She uses the side of the barn for one side of the rectangle, and makes the other three sides from a total of 60 feet of fencing. Find the side lengths that give the maximum area she can fence in, as well as the maximum area. Show all of your work.
the answer is 62x IAM take a guess so
jennifer needs to estimate the average age of vets in houston. the standard deviation of ages is 22 years. she wants the standard error of her mean to be 3.42 years. how many vets is she going to need to sample to get at least that kind of accuracy? (be sure to round up; you can't survey part of a person)
Jennifer needs to sample at least 151 vets to achieve a standard error of the mean of 3.42 years or less.
The variability or uncertainty of a sample statistic, like the mean or proportion, is measured by standard error. It represents the sample distribution's standard deviation for that statistic. In other words, it calculates the amount by which chance is likely to cause the sample statistic to deviate from the actual population parameter.
The calculation of the standard error is based on the particular statistic being produced as well as the characteristics of the sampled population. For instance, the population's standard deviation is divided by the square root of the sample size to determine the standard error of the mean. If p is the estimated proportion based on the sample, then the standard error of a proportion is determined as (p * (1 - p)) divided by the square root of the sample size.
A population parameter estimate that has a lower standard error is more accurate. Inferential statistics frequently employ the standard error to compute confidence intervals and test population parameter-related hypotheses.
The formula for the standard error of the mean can be used to get the approximate number of veterans Jennifer needs to sample:
[tex]SE = / \sqrt{n}[/tex]
where n: sample size, delta: age standard deviation, and SE: standard error of the mean.
In this instance, we are aware that = 22 years and SE = 3.42 years. As we solve for n, we obtain:
[tex]n = (delta / SE)^2 n = (22 / 3.42)^2 \sn = 150.39[/tex]
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Carol shares a joke with 3 of her friends. The next day, each of her friends tell the joke to 4 other people. The next day, each people that heard the joke the previous day tells the joke to four different people. The expression 3(4^(x)) models this situation where x represents the number of days after Carol initally told the joke. What do the different parts of the expression represent?
Answer:
Step-by-step explanation:
In this expression, the number 3 represents the initial group of friends to whom Carol told the joke.
The base number 4 represents the number of people each friend told the joke to on the following day.
The exponent x represents the number of days that have passed since Carol first told the joke, and as a result, the number of "generations" of people who have heard the joke.
Therefore, 4 raised to the power of x represents the total number of people who have heard the joke after x days, including Carol's initial group of friends and all subsequent generations of people who have been told the joke by those who heard it before.
Finally, multiplying 3 and 4 raised to the power of x gives the total number of unique people who have heard the joke after x days, since the initial group of friends is not included in the later generations.
Aileen has 40 colored marbles inside a bag. There are blue, red, and white marbles. All the marbles are the same size. Aileen randomly selects 10 marbles, one at a time, out of the bag and records the color of each marble. Each marble is replaced before the next marble is selected. The table shows her results. Aileen's Bag of Marbles Color of Frequency Marble Blue Red White 3 1 6 Click on the bar graph to show how many blue marbles, red marbles, and white marbles are MOST LIKELY inside Aileen's bag of marbles. Number of Marbles + 28 26 24 22 20 18 16 14 12 10 ∞ CO 8 6 4 2 0
The most likely number of marbles in Aileen's bag is given as follows:
Blue marbles: 12.Red marbles: 4.White marbles: 24.How to obtain the most likely number of marbles?The most likely number of marbles is obtained applying the proportions in the context of the problem.
Out of 10 marbles, from the sample, the results are given as follows:
3 blue marbles.1 red marbles.6 white marbles.Aileen has 40 colored marbles inside a bag, which is four times the size of the sample, hence the most likely number of marbles in Aileen's bag is obtained as follows:
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Tyler has run 10. 4 miles,which is 65 percent of the total distance he plans to run this week. What is the total distance that Tyler plans to run this week
Tyler has run 10.4 miles, which is 65% of the total distance he plans to run this week. Tyler plans to run a total of 16 miles this week.
Let's use "x" to represent the total distance that Tyler plans to run this week. According to the problem, Tyler has already run 10.4 miles, which is 65% of the total distance he plans to run. We can set up an equation to represent this information:
10.4 = 0.65x
To solve for x, we can divide both sides of the equation by 0.65:
x = 10.4 ÷ 0.65
x = 16
Therefore, the total distance that Tyler plans to run this week is 16 miles.
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Which equation has the same solution as x ^2 −12x−16=−2?
You are offered a job that pays $34,000 during the first year, with an annual increase of 6% per year beginning in the second year. That is, beginning in year 2, your salary will be 1.06 times what it was in the previous year. What can you expect to earn in your fourth year on the job? Round your answer to the nearest dollar.
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In the quadrilateral below, angles DAB and BCD are the same size.
What is the size of angle DAB?
D
228
34° -B
Answer >
The size of angle DAB in the quadrilateral is 49°.
How to find the size of angle DAB?The sum of the interior angles of a quadrilateral is 360°. We can say:
∠A + ∠B + ∠C + ∠D = 360°
∠A + 34° + ∠C + 228° = 360°
∠A + ∠C + 262° = 360°
∠A + ∠C = 360 - 262
∠A + ∠C = 98
Since angles DAB and BCD are the same size. This implies ∠A = ∠C. Thus:
∠A + ∠A = 98
2∠A = 98
∠A = 98/2
∠A = 49°
Therefore, the size of angle DAB is 49°.
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Complete Question
Check the attached image
solve the system 2 -1 5 -2 with -2 -1 . give your solution in real form. , . an ellipse with counterclockwise orientation 1. describe the trajectory.
The solution of the system 2 -1 5 with -2 -1 in real form is (x, y) = (7/4, 7/2).
To solve the system with the given coefficients, first, let's rewrite it as a linear system of equations:
2x - y = 5
-2x - y = -2
Now, let's solve this system step-by-step:
Step 1: Solve for y in the first equation:
y = 2x - 5
Step 2: Substitute the expression for y from Step 1 into the second equation:
-2x - (2x - 5) = -2
Step 3: Simplify and solve for x:
-2x - 2x + 5 = -2
-4x = -7
x = 7/4
Step 4: Substitute the value of x back into the expression for y:
y = 2(7/4) - 5
y = 7/2
The solution in real form is (x, y) = (7/4, 7/2).
Regarding the ellipse with counterclockwise orientation, the trajectory can be described as a smooth, closed curve in the shape of an ellipse. The ellipse will have a major and minor axis, with the points on the ellipse moving continuously in a counterclockwise direction along the curve.
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A Rubik’s Cube is a game where the person tries to get each surface of a cube to be one color. The Rubik’s Cube is made up of smaller unit cubes stacked together.
What is the volume, in cubic units, of the Rubik’s Cube?
Answer:
27 cubic units
Step-by-step explanation:
Since each small cube is a unit cube, then each small cube has side length 1 unit. Each side of the Rubik's cube has length 3 units.
V = s³ = 3³ = 27
Answer: 27 cubic units
you work as a cashier in a supermarket. on saturday, you had 135 customers. on sunday, you had 90 customers. what is the approximate percent decrease
The approximate percent decrease in the number of customers from Saturday to Sunday is 33%. Therefore, the answer is option A: 33%
To find the approximate percent decrease in the number of customers from Saturday to Sunday, we first need to calculate the decrease in the number of customers:
Decrease = Saturday customers - Sunday customers
Decrease = 135 - 90
Decrease = 45
The percent decrease can be found by taking the decrease as a percentage of the original value (Saturday customers):
Percent decrease = (Decrease / Saturday customers) x 100%
Percent decrease = (45 / 135) x 100%
Percent decrease = 33.33%
Rounding to the nearest percent, we get that the approximate percent decrease in the number of customers from Saturday to Sunday is 33%. Therefore, the answer is option A: 33%.
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Your question is incomplete, but probably the complete question is :
You work as a cashier in a supermarket. On Saturday, you had 135 customers. On Sunday, you had 90 customers. What is the approximate percent decrease in the number of customers from Saturday to Sunday?
33%
45%
50%
90%
225%
A ____ specifies which subjects and objects users or groups can access.
An access control list (ACL) specifies which subjects and objects users or groups can access.
What is Access Control List (ACL)?An Access Control List (ACL) is a term used to describe a security mechanism that regulates who has access to an object in a computing system. An Access Control List (ACL) is a type of file that contains the names of people or groups of individuals who are allowed or denied access to a system resource.
ACLs are one of the most widely used security measures in computer networks today, and they are used to establish access control policies for network resources such as files, folders, devices, or services. This list is compiled on the basis of the requirements and policies of the security team in place.
The access control list (ACL) is a security feature that allows administrators to define and manage the permissions and rights for different users or groups to access specific resources, such as files, directories, or applications. Implementing an ACL helps to ensure proper security and privacy in a system or network.
The access control list (ACL) is correct in the blanks.
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Masons Mon brought g games online. The gamecost$12 each plus a $7 shipping fee
The expression to represent how much Mason's mom spent for "g" games online is 12g + 7
An expression is a combination of numbers, variables, and operators that represent a mathematical phrase or statement. Expressions can be used to represent mathematical operations and relationships, and they can be simplified or evaluated using mathematical rules and techniques.
Let's say that Mason's mom bought "g" games online.
Each game costs $12, and there is an additional $7 shipping fee per order.
Therefore, the total amount spent on g games can be represented by the expression:
12g + 7
Here, 12g represents the cost of the games, and 7 represents the shipping fee.
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The given question is incomplete, the complete question is:
Mason's mom bought g games online. The games cost $12 each plus a $7 shipping fee. Write an expression to represent how much Mason's mom spent for the games
PLEASE HELP - WORTH 30 POINTS
Answer: 1,023 combinations & 4/5 chance
Step-by-step explanation: A bunch of weird math with the first answer, but the 2nd answer is just every clothing article that isn't red over the total amount of articles simplified (8/10 = 4/5).
Hope this helped!
Complete the table
Original Price
Percent of Discount
15%
Sale Price
$146.54
The final result for the money is [tex]172.40[/tex] after you multiply it by a percent.
What does a maths percent mean?In essence, percentages are fractions with a 100 as the denominator. We place the percent sign (%) next to the number to indicate that the number is a percentage.
What does the word "percentage" actually mean?Rather than being stated as a fraction, a percent is a piece of an entire thing expressed as just a number between zero and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the total by its entirety and multiply the result by 100 to get the percentage.
[tex]w-[0.15]=146.54[/tex]
so [tex]w-85p=146.54[/tex]
[tex]146.54[/tex] divided by [tex]80=1.724[/tex] so when you make it a percent it turns it into [tex]172.40[/tex] which is the final answer for the money.
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a newsletter publisher believes that under 69% 69 % of their readers own a rolls royce. is there sufficient evidence at the 0.10 0.10 level to substantiate the publisher's claim? state the null and alternative hypotheses for the above scenario.
No, there is not sufficient evidence to substantiate the claim at the 0.10 level. Null Hypothesis (H0): p ≤ 0.69; Alternative Hypothesis (H1): p > 0.69
A newsletter publisher believes that under 69% of their readers own a Rolls Royce.
No, there is not sufficient evidence to substantiate the claim at the 0.10 level. In order to substantiate the claim at the 0.10 level, the publisher would need to collect data from their readers and perform a hypothesis test to compare the observed percentage of readers with the claimed percentage.
Null Hypothesis: The proportion of the newsletter readers that own a Rolls Royce is less than or equal to 69%.
Null Hypothesis (H0): p ≤ 0.69
Alternative Hypothesis: The proportion of the newsletter readers that own a Rolls Royce is greater than 69%.
Alternative Hypothesis (H1): p > 0.69
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If h = 13 units and r = 6 units, then what is the volume of the cone shown above?
The vοlume οf the cοne is 156π cubic units
What is cοne?A cοne is a three-dimensiοnal geοmetric fοrm with a flat base and a smοοth tapering tip οr end. A cοne is made up οf a cοllectiοn οf line segments, half-lines, οr lines that link the apex—the cοmmοn pοint—tο every pοint οn a base that is in a plane οther than the apex.
Given,
h = 13 units and r = 6 units
We knοw the fοrmula tο determine vοlume οf cοne; that is
(1/3)πr²h
Where r= radius οf the cοne
h= height οf the cοne
We put the value οf h and r in the fοrmula
(1/3)πr²h
= (1/3)π6² *13
=156π cubic units
The vοlume οf the cοne is 156π cubic units
Hence the cοrrect answer is 156π cubic units
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combined with a high tide on september 16, 2020 by how many feet did that storm surge submerge the lowest parts of pensacola beach? enter a number (no words) in the blank.
The steps to find the depth through which the storm submerges the lowest parts of the Pensacola Beach is given below.
How to solve for the feet that the storm submerges?As it has been given in the question, Pensacola beach is located 5-10 feet above sea level.
The ocean water rises upto 5.5 feet during a storm
Hence you need to add up the height of the highest tide on 16 September to 5.5 feet.
If the combined height of the highest tide and the storm tide is greater than 10 feet, then the whole Pensacola beach submerges.
You just subtract the combined height of the storm and the highest tide from the height of the beach.
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Portions of Pensacola Beach, a coastal community built on a barrier island, are located at 3 - 10 feet above sea level.
Hurricane Sally, which struck Pensacola on September 16, 2020 and brought a 5.5 foot storm.
Combined with a high tide on September 16,202, by how many feet did that storm surge submerge the lowest parts of Pensacola Beach? (Hint: use the information in question and change the date on the tidal chart to September 16, 2020) Now, compare your answers above, and think about how the type (pattern) and size of the tides differ for these two locations
Solve: -6x + 4 = - 4x + 6
Answer:-1
Step-by-step explanation:
in order to solve this type questions you should "orginize" numbers same variables:
-6x+4x=6-4
-2x=2
x=-1
a project being analyzed by pert has 60 activities, 13 of which are on the critical path. if the estimated time along the critical path is 214 days with a project variance of 100, what is the probability that the project will take 224 days or more to complete? group of answer choices 0.0126 near zero 0.1587 0.14 0.8413
The probability that the project will take 224 days or more to complete is: 0.1587
The project is being analyzed by PERT, it has 60 activities, out of which 13 are on the critical path. The estimated time along the critical path is 214 days with a project variance of 100. We are required to find the probability that the project will take 224 days or more to complete.
Now, z-score = (x - μ) / σ = (224 - 214) / 10 = 1.
So, using the standard normal table, we have: P(Z > 1) = 1 - P(Z < 1) = 1 - 0.8413 = 0.1587.
Hence, the required probability that the project will take 224 days or more to complete is 0.1587.
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The polynomial has been factored completely. What are the zeros of the function?
x2-2x-48-(x+6)(x-8)
x=6 and x=8
x=-6 and x=8
x = 6 and x = -8
x = -6 and x = -8
The zeroes of the factored polynomial as required to be determined in the task content are: x = -6 and x = 8.
What are the zeroes of the factorised polynomial?It follows from the task content that the zeroes of the completely factorised polynomial are to be determined.
Since the given polynomial is; x² - 2x - 48 which has been factorised completely to; (x + 6) (x - 8).
Ultimately, the zeroes of the Polynomial are as follows;
x + 6 = 0; x = -6.
and
x - 8 = 0; x = 8.
Conclusively, the zeroes of the polynomial are; x = -6 and x = 8.
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