find a value of c so that p(z ≥ c) = 0.55.
To find a value of c such that P(z ≥ c) = 0.55, we need to use a standard normal distribution table or calculator.From the standard normal distribution table, we find that the z-score corresponding to a right-tailed area of 0.55 is approximately 0.126.
Therefore, we have:
P(z ≥ c) = 0.55
P(z ≤ c) = 1 - P(z ≥ c) = 1 - 0.55 = 0.45
Using the standard normal distribution table, we find that the z-score corresponding to a left-tailed area of 0.45 is approximately -0.126.
So, c = -0.126.
Therefore, the value of c that satisfies P(z ≥ c) = 0.55 is approximately -0.126.
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View Policies Current Attempt in Progress Using the information provided in the table, the network diagram and the project completion time = 25 weeks, reduce the completion time of the project by 5 we
Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.
To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.
To achieve a reduction of 5 weeks, we can consider several strategies:
1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.
2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.
3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.
4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.
It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.
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Help please on circle theorems
Answer:
n = 28
Step-by-step explanation:
The angle at the centre is twice the angle on the circle subtended on the same arc, then
35 + m = 0.5 × 98 = 49 ( subtract 35 from both sides )
m = 14
∠ n is at the centre subtended on the same arc as ∠ m , thus
n = 2m = 2 × 14 = 28
what is 9/23 rounded to the nearest hundreth
A III only
B I and II only
C II and III only
D I, II, and III
Answer: ur answer is D
Step-by-step explanation:
The median of a quanitive data set is always one of the infiviual data values. True or false
The given statement "The median of a quantitative data set is always one of the individual data values" is false.
What is a median?When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.
The given statement is not true, this is because the median is the mid-value of any data set.
If the number of data observations is odd then the median of a quantitative data set is always one of the individual data values.But if the number of data observations is even then the median is the average of the two numbers present in between the data observations.Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.
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Which equation can be used to solve for r in the following diagram?
60°
V
(4x – 20)
Answer:
c.
Step-by-step explanation:
60= (4x - 20)
expl: vertically Opposite angles
Office-chair racing is now an official sport in Japan. Teams of 3 race around a 200-meter circuit for 2 hours to see who can complete the most laps. Tonya, an office-chair racing coach, contacts the top 5 teams and randomly assigns them to complete a practice race using one of two popular brands of office chair.
Brand A and Brand B. In a different time period, the same teams complete a practice race using the opposite brand of chair. Here are the data:
Brand A 116 107 101 97 94
Brand B 114 102 100 94 90
Calculate the mean difference (Brand A - Brand B) and the standard deviation of the differences.
The mean difference between Brand A and Brand B is 3, and the standard deviation of the differences is approximately 1.58.
To calculate the mean difference and standard deviation of the differences between Brand A and Brand B, we need to perform the following steps:
Calculate the differences between the corresponding data points of Brand A and Brand B.
Brand A - Brand B: (116 - 114), (107 - 102), (101 - 100), (97 - 94), (94 - 90)
: 2, 5, 1, 3, 4
Calculate the mean difference:
Mean difference = (2 + 5 + 1 + 3 + 4) / 5
= 15 / 5
= 3
Calculate the squared differences of each value from the mean difference:
(2 - 3)², (5 - 3)², (1 - 3)², (3 - 3)², (4 - 3)²
1, 4, 4, 0, 1
Calculate the sum of the squared differences:
1 + 4 + 4 + 0 + 1 = 10
Calculate the variance of the differences:
Variance = sum of squared differences / (number of data points - 1)
= 10 / (5 - 1)
= 10 / 4
= 2.5
Calculate the standard deviation of the differences:
Standard deviation = square root of variance
=√(2.5)
≈ 1.58
Therefore, the mean difference between Brand A and Brand B is 3, and the standard deviation of the differences is approximately 1.58.
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In the ale the original price are reduced by 15%
a. Calculate the ale price of a book that ha an original price of $12
b. Calculate the original price of a jacket that ha a ale price of $38. 25
Answer:b
Step-by-step explanation:
4 ≤ 3x-8 < 40
pls help <3
Inequality \($$4 \leq 3 x-8 < 40$$\) is \($$4 \leq x < 16$$\).
If \($a \leq u < b$\) then \($a \leq u$\)and \($u < b$\) \($4 \leq 3 x-8$\)and \($3 x-8 < 40$\)
\($$4 \leq 3 x-8: x \geq 4$$\)
\($3 x-8 < 40: x < 16$\)
Combine the intervals
\($x \geq 4$\) and \($x < 16$\)
Merge Overlapping Intervals
\($$4 \leq x < 16$$\)
\($\begin{array}{cc}\text { Solution: } & 4 \leq x < 16 \\ \text { Interval Notation: } & {[4,16)}\end{array}$\)
In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols.
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a particular professor is known for his arbitrary grading policies. each paper receives a grade from the set {a, a-, b . b, b-, c }, with equal probability, independent of other papers. how many papers do you expect to hand in before you receive each possible grade at least once?
Papers do you expect to hand in before you receive each possible grade at least once is 14.7.
given,
Total number of grades= 6
Imagine Y to be number of papers till we get all grades once. Hence
Yi= Number of papers till we get i th newer grades
Expected value of Y₆= ?
The difference between getting a new grade maybe represented as
Xi= Yi+1 - Yi
Using above equation for Y₆, we get
[Y₆]= ∑⁵i=o Xi
which means, we need to get 5 different grades from the first grade.
Number of tries to see second new grade maybe represented as
X₁= {(6-1)/6}, which, for generalization is written as Xi=geo{(6-i)/6}
Xi represents the success probability of seeing further new grade.
Expected value of Xi is inverse of parameter of geometric distribution, which is,
[Xi] = 6/(6-i) = 6.{1/(6-i)}
Expected value of Y₆= [∑⁵ i=0 Xi] = ∑⁵ i=0 [Xi]
Substituting value of [Xi] in the above expression
6.∑⁵i=0 {1/(6-i)} = 6. ∑⁶i=1 (1/i)
Now solving for 6 grades
Y₆ = 6[(1/6) + (2/6) + (3/6) + (4/6) + (5/6) + (6/6)]
Y₆ = 6 x 2.45 = 14.7
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The ratio of the measures if the sides of a triangle is 4:6:8, and its perimeter is 126 feet. What are the measures of the sides of the triangles
Answer:
56 feet.
Step-by-step explanation:
4k+6k+8k=18k=126⟹k=7
Therefore, the lengths are 4⋅7=28, 6⋅7=42 and 8⋅7=56 feet.
Chord AC intersects chord BD at point P in circle Z.
AP=12 m
DP=5 m
PC=6 m
What is BP?
Enter your answer as a decimal in the box.
_______ m
The length of BP is 14.4 meters.
To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.
Using this property, we can set up the equation:
AP * PC = BP * DP
Substituting the given values:
12 m * 6 m = BP * 5 m
Simplifying:
72 m^2 = BP * 5 m
To solve for BP, divide both sides of the equation by 5 m:
72 m^2 / 5 m = BP
Simplifying:
14.4 m = BP
Therefore, the length of BP is 14.4 meters.
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9. Raquel estimated 504,900,000,000 as 3 x 10^8. What error did she
make? Explain.
Answer:
5.049 x 10^11
She'd done the entire equation wrong
3 x 10^8 would be 300000000 when instead 10 should be to the power of 11 and 3 should be 5.049
Step-by-step explanation:
To rewrite something in scientific notation you have to group the numbers that aren't zero (5049) and convert it into a decimal (5.049)
(Decimals for scientific notations will ALWAYS have one number in the 1st digit, no matter what)
Then we see what we have to multiply our decimal to make it into our original number. We count the numbers in the decimal and the rest of our zeros (8+3=11)
5.049 x 10^11 = 504900000000
the use of a tremendously large sample does not solve the question of quality for an estimator. what problems do you anticipate with very large samples? (select all that apply.) difficulty in obtaining a very large sample less outlier data cost of sampling none of these increase in standard error
Although increasing the sample size can improve the accuracy of the estimate, there are some problems that may arise with very large samples.
The following are the problems that can occur:
Difficulty in obtaining a very large sample: It may be difficult to obtain a large sample that is representative of the population and has a low bias.
Cost of sampling: Collecting data from a very large sample can be time-consuming and expensive.
None of these: This is not a problem that can arise with very large samples.
Increase in standard error: As the sample size increases, the standard error of the estimate tends to decrease, but after a certain point, increasing the sample size further may not lead to a significant reduction in the standard error, and may even increase it due to other factors such as measurement errors or non-random sampling. This is called the "law of diminishing returns".
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The cost of renting a moving truck is given by C = 40 + 0.99m , where C is the total cost in dollars and m is the number of miles driven. What does the 40 in the equation represent?
The 40 in the equation C = 40 + 0.99m represents a fixed cost that is independent of the number of miles driven (m).
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
This fixed cost is a base fee that the rental company charges for the rental of the moving truck, regardless of how many miles the truck is driven.
In this equation, the 40 is a constant term that adds to the cost of the rental, and it represents the cost of the truck rental without taking into account the distance driven.
The 0.99m term represents the additional cost per mile driven, and it increases with the number of miles driven.
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Help a bab out please?
Answer:
the answer is 55
Step-by-step explanation:
if you have a straight line each side equals 180 degrees so take 60+65 which equals 125 then do 180-125 and you get 55
Assume that there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents. Scientists later investigate whether or not this bivariate relationship is moderated by age.
Age 16-20: r = 0.6 p = 0.01
Age 21+: r = 0.2 p = 0.05
T or F: Based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
Let's first understand what is meant by the term "moderator.
"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.
Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.
So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.
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Rationalize (that is, eliminate the square root from the denominator of) the function f(x)= (7-sqrt(x-8)/7-sqrt(x+8)
, for x≥8. Your answer will be of the following form: f(x)= A+Bsqrt(x-8)/C-x
, for x≥8,x=C where A is a function of x but B and C are numbers. What are A,B and C? (Careful of signs!) A= Q Σ B= Q C= Q Σ.
The rationalized form of the function f(x) is f(x) = (49 - x + 15√(x-8) - 7√(x+8))/(41 - x),where A = (49 - x + 15√(x-8) - 7√(x+8)), B = 15, and C = 41.
To rationalize the function f(x) = (7 - √(x-8))/(7 - √(x+8)), we need to eliminate the square root from the denominator.
Multiply both the numerator and the denominator by the conjugate of the denominator.
The conjugate of 7 - √(x+8) is 7 + √(x+8).
f(x) = [(7 - √(x-8))/(7 - √(x+8))] * [(7 + √(x+8))/(7 + √(x+8))]
Simplify the expression.
f(x) = [(7 - √(x-8))*(7 + √(x+8))]/[(7 - √(x+8))*(7 + √(x+8))]
Expand the numerator and denominator.
f(x) = (49 - 7√(x+8) + 7√(x-8) - (x-8))/((49 - (x+8))
Simplifying further, we have:
f(x) = (49 - x + 15√(x-8) - 7√(x+8))/(41 - x)
So,
A = (49 - x + 15√(x-8) - 7√(x+8))
B = 15
C = 41
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Subtract 2x^2-5x+8 from 6x^2+3x-2
Answer:
put this in calculater soup to get your answer
Step-by-step explanation:
What is the mole of H2?
One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.
What is mole?A mole is a unit of measurement in chemistry that expresses the amount of a substance. It is defined as the number of entities (such as atoms, ions, or molecules) in a sample of the substance. The number of entities in one mole of a substance is known as Avogadro's number.
What is Avogadro's number?Avogadro's number is a fundamental constant of physics and chemistry, defined as the number of atoms, ions or molecules in one mole of substance. It is approximately 6.022 x 10^23 and is used in many calculations in chemistry and physics, such as the number of atoms in a sample of an element, the number of ions in a salt, or the number of molecules in a gas sample. The constant is named after Amedeo Avogadro, an Italian scientist who first proposed the concept in 1811.
One mole of a substance is equal to Avogadro's number, which is approximately 6.022 x 10^23.
The mole of H2 (hydrogen gas) is the number of H2 molecules in a sample of hydrogen gas. One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.
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i need assistance!!!
questions 1-5
Answer:
1) Heat flows from hot to cold
2) temperature
3) copper
4) The heat spreads evenly across the sheet
5) Plastic
Mark, anthony, and derek, are going on a road trip and will take turns driving the car. they need to decide who will drive first. which method assures that each of the three friends has a fair chance of being selected to drive first?
To ensure that each of the three friends has a fair chance of being selected to drive first on their road trip, they can use the method of flipping a coin. Here's a step-by-step explanation:
1. Mark, Anthony, and Derek can gather together and agree to use a coin flip method to determine who will drive first.
2. They can designate one person to be the flipper, who will toss the coin into the air.
3. Before flipping the coin, they should establish what each side of the coin represents. For example, they can agree that heads means Mark drives first and tails means Anthony drives first.
4. The flipper then tosses the coin into the air, allowing it to spin and fall back down.
5. Once the coin lands, they can check the result and determine who will drive first based on the agreed-upon assignment for each side of the coin.
6. If Mark and Anthony are not selected to drive first, it automatically means that Derek will be the one to drive first.
Using the coin flip method ensures fairness because it provides an equal chance for each friend to be selected. It relies on chance rather than personal preferences or biases, making it an unbiased way to decide who will drive first on their road trip.
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Can someone please help me with this question
if a/3 = 2/b, what are the following ratios?
3a-3b/a-b
If b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio and the ratio in the given situation is 3a:2b = 6:1.
What do we mean by ratios?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0.
A proportion is an equation that sets two ratios at the same value.
For instance, if there is 1 boy and 3 girls, you may express the ratio as 1: 3 (there are 3 girls for every boy), meaning that there are 1 in 4 boys and 3 in 4 girls.
Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B).
So, we know that:
a+b/a-b = 5/3
Now, solve as follows:
3 ( a + b) = 5 ( a - b)
3 a + 3 b = 5 a - 5 b
5 b + 3 b = 5 a - 3 a
8 b = 2 a
2 a = 8 b
a = 4 b
3 a = 3 × 4 b
3 a = 12 b
3 a: 2 b = 12 b : 2 b
Then: 3a:2b = 6:1
Therefore, if b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio and the ratio in the given situation is 3a:2b = 6:1.
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Correct question:
A+b/a-b=5/3 what are the following ratios? 3a:2b
The r in the simple interest formula stands for rate which best describes how to use rate in formula
Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.
Define rate.The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.
Given
The r in the simple interest formula stands for rate.
Convert it to a decimal and multiply is the best way to describe rate in formula.
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what is the 385/6 as a proper fraction
Answer:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 385 by 6 and keep only what is to the left of the decimal point:
385 / 6 = 64.1667 = 64
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
385 - (6 x 64) = 1
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 385/6 as a mixed number is:
64 1
___
6
Step-by-step explanation:
An object weighing 5 pounds on Earth will weigh 2 pounds on Mercury. The Statue of Liberty weighs 225 tons. What would it weigh on Mercury? Show all work:
Answer:
90 tons
Step-by-step explanation:
given that the ration of weight from earth to mercury is 5:2, we can make an equation:
x (weight of an item on Mercury) = 0.4(weight of an item on Earth)
x=0.4(225 tons)
x=90 tons
Solve for X. Geometry
Answer: " x = 10 " .
Step-by-step explanation:
Note the top "line segment" ; and the bottom "line"; have equal measurements:
The length of the top line segment is:
" (2x − 8) + 5 ."
The length of the bottom line is: " (x + 7) " ;
__________
To solve for "x" ;
___________
(2x − 8) + 5 = (x + 7) ;
Rewrite as:
2x − 8 + 5 = x + 7 ;
Note: −8 + 5 = -3 ;
_______________
Rewrite the equation as:
2x − 3 = x + 7 ;
We can subtract "x" from each side of the equation;
and add "3" to each side of the equation:
2x − 3 − x + 3 = x + 7 − x + 3 ;
_______________
to get:
_______________
x = 10 .
_______________
Let us check our answer
(2x − 8) + 5 =? (x + 7) ;
________
(2*10 − 8) + 5 =? (10 + 7) ? ;
(20 − 8) + 5 =? 17 ?
12 + 5 =? 17 ? Yes!
_______________
Best wishes in your academic pursuits!
_______________
Solve for x. Round to the nearest tenth.
Answer:
D. 14.1
Step-by-step explanation:
Use sin, opposite over hypotenuse.
sin67 = 13/X
solve for X