Answers
Answer:
a=5 b=8 c=4
Step-by-step explanation:i hope this is right
Related Questions
which of the following is a measure of dispersion? a. quartiles b. interquartile range c. percentiles d. geometric mean
Answers
b. interquartile range is a measure of dispersion.
The correct answer is b. interquartile range.
Here, we have,
The interquartile range is a measure of dispersion that represents the range between the first quartile (25th percentile) and the third quartile (75th percentile) of a dataset. It gives an indication of the spread of the middle 50% of the data and is less affected by outliers compared to the range.
Quartiles (a) and percentiles (c) are positions or values within a dataset and are used to divide the data into equal parts. While they can provide information about the distribution of the data, they are not direct measures of dispersion.
The geometric mean (d) is a measure of central tendency and is calculated as the nth root of the product of n numbers. It is not a measure of dispersion.
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Name the two solutions of (2x – 1)2 = 25.
Answers
X= 27/4, 6 3/4, 6.75
3. Kyle starts with $15.00 and saves $3.50
each day. What expression represents
the total amount Kyle saves?
A $3.50
B $15.00
C 3.5t + 15, where t is the number
of days
D 15t + 3.5, where t is the number
of days
Answers
Answer:
C 3.5t + 15, where t is the number
of days
helpppppppp pleaseeeeeeeeeeeee
Answers
Answer:
area of the triangle is
\( \frac{1}{2} \times 4.4 \times (6.1 + 3.3)\)\( 2.2 \times 9.4\)\(20.68 \: {in}^{2} \)please what should i pick
Answers
Answer:
A, B, D, E
Step-by-step explanation:
They all are negative numbers when solved except for C
ted runs 2/3 as fast as frank. in 2 hours frank runs 8 miles farther than ted. how fast does each run?
Answers
The speed of Ted is 08 mph and the speed of Frank is 12 mph.
Given:
Ted runs 2/3 as fast as frank. In 2 hours frank runs 8 miles farther than ted.
Ted Data:
Distance = d;
Rate = (2/3)x;
Time = 2 hours
Candid Data:
Distance = d+8;
Rate = x;
Time = 2 hours
Formula: Distance = Speed*Time
Therefore,
Flank distance = ted distance + 8
2x = (4/3)x + 8
6x = 4x + 24
2x = 24
x = 12 mph
The speed of Flank is 12 mph.
Therefore, the speed of Ted is:
(2/3)x = 8 mph
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A company has to decide whether to invest money in the development of a microbiological product. The company's research director has that there is a 60% chance that a successful development could be achieved in 2 years. However, if the product had not been successfully developed at the end of this period, the company would abandon the project, which would lead to a loss in present-value terms of $ 3 million. (Present value is designed to take the company's time preference for money into account. The concept is explained in Chapter 8) In the event of a successful development, a decision would have to be made on the scale of production. The returns generated would depend on the level of sales which could be achieved over the period of the product's life. For simplicity, these have been catorized as either high or low. If the company opted for large-volume production and high sales were achieved, then net returns with a present-value of $6 million would be obtained. However, large-scale production followed by low sales would lead to net returns with a present value of only $1 million.In contrast, if the company decided to invest only small-scale production facilities then high sales would generate net returns with a present value if facilities then high sales would generate net returns with a present value of $4 million and low sales would generate net returns with a present value of $2 million. The company's marketing manager estimates that there is a 75% chance that high sales could be achieved.(a) Construct a decision tree to represent the company's decision problem. (b) Assuming that the companys objective is to maximize its expected returns, determine the policy that it should adopt. (c) There is some debate in the company about the probability that was estimated by the research diretor. Assuming that allo other elements if the problem remain the same, determine how low this probility would have ti be before the option of not developing the product should be chosen. (d) before the final decision us nade the company us taken iver by a bew owner, who has the utilities shown below for the sums of money involved in the decision. (The owner has no ointerest in other attributes which may be associated with the decision, such as developing a prestige product or maintaining employment.) What implications does this have for the policy that you iidentified in (b) and why?Present value of net returns New owner's utility-$3m, $0m, $1m, $2m, $4m, $6m 0, 0.6, 0.75, 0.85, 0.95, 1.0
Answers
The optimal policy for the new owner is to invest in large-scale production. This decision branch has the highest expected utility of $4.285m.
The initial node represents the decision whether to invest in the development of the microbiological product.
The two possible outcomes are a successful development or failure after 2 years.
(b) To determine the policy that the company should adopt to maximize its expected returns, we need to calculate the expected value at each decision node.
Starting from the end nodes and working backwards, we have:
For large-scale production with high sales:
Expected value = 0.75 x $6m + 0.25 x $1m = $4.25m
For large-scale production with low sales:
Expected value = 0.75 x $1m + 0.25 x $6m = $1.75m
For small-scale production with high sales:
Expected value = 0.75 x $4m + 0.25 x $2m = $3.5m
For small-scale production with low sales:
Expected value = 0.75 x $2m + 0.25 x $4m = $1.75m
At the 2-year node, the expected value for a successful development is:
For large-scale production:
Expected value = 0.75 x $4.25m + 0.25 x $1.75m = $3.5m
For small-scale production:
Expected value = 0.75 x $3.5m + 0.25 x $1.75m = $2.81m
Finally, at the initial node, the expected value for investing in the development is:
Expected value = 0.6 x $3.5m + 0.4 x (-$3m) = $0.1m
Therefore, the policy that the company should adopt to maximize its expected returns is to invest in the development of the microbiological product, choose large-scale production if the development is successful, and choose small-scale production otherwise.
(c) If the probability of a successful development is lower than a certain threshold, the option of not developing the product should be chosen. Let p be this threshold probability. Then the expected value at the initial node is:
Expected value = p x $0m + (1-p) x (-$3m) = -$3m + $3mp
Setting this equal to zero and solving for p, we get:
p = 1
Therefore, if the probability of a successful development is lower than 100%, the company should not invest in the development of the microbiological product.
(d) The new owner's utilities represent their preferences for the sums of money involved in the decision.
The utilities are increasing and concave, indicating diminishing marginal utility of money.
This means that the new owner is risk-averse.
The policy identified in (b) may not be optimal for the new owner because their utilities are different from the present-value net returns.
To determine the optimal policy for the new owner, we need to use the new owner's utility values to calculate the expected utility of each decision branch in the decision tree.
If the company invests in large-scale production and high sales are achieved, the expected utility is 0.75 * 0.95 * 1.0 * $6m = $4.285m.
If the company invests in large-scale production and low sales are achieved, the expected utility is 0.75 * 0.95 * (1 - 0.0) * $1m = $712,500.
If the company invests in small-scale production and high sales are achieved, the expected utility is 0.75 * 0.05 * 1.0 * $4m = $150,000.
If the company invests in small-scale production and low sales are achieved, the expected utility is 0.75 * 0.05 * (1 - 0.0) * $2m = $75,000.
If the company decides not to invest in the product, the expected utility is 0.25 * (1 - 0.6) * $0m + 0.25 * 0.6 * (1 - 0.0) * -$3m = -$450,000.
Therefore, the optimal policy for the new owner is to invest in large-scale production. This decision branch has the highest expected utility of $4.285m.
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For each representation of one fifth, use a horizontal line or lines to show fractions equivalent to and write the equivalent fractions.
Answers
Answer:
• 1/5=2/10
,• 1/5=3/15
,• 1/5=4/20
Explanation:
We draw horizontal lines across each of the diagrams.
Case 1
There are a total of 10 boxes.
There are two shaded boxes.
An equivalent form for this is:
\(\frac{1}{5}=\frac{2}{10}\)Case 2
There are a total of 15 boxes.
There are three shaded boxes.
An equivalent form for this is:
\(\frac{1}{5}=\frac{3}{15}\)Case 3
There are a total of 20 boxes.
There are four shaded boxes.
An equivalent form for this is:
\(\frac{1}{5}=\frac{4}{20}\)
A pencil is 712 inches long.
How long is the pencil in centimeters?
1 inch =2.54 centimeters
Answers
do you mean 712 or 7.12?
If for 712 it is 1808.48
if for 7.12 it is 18.0848
Someone please help me
Answers
Answer:
x = 34°
Step-by-step explanation:
The chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
x = \(\frac{1}{2}\) ( AB + CD ) = \(\frac{1}{2}\) (45 + 23)° = 0.5 × 68° = 34°
Find the missing length.
= √ [?]
C =
C
6
2
Pythagorean Theorem: a² + b² = c²
![Find the missing length.= [?]C =C62Pythagorean Theorem: a + b = c](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/ZObaaAIOPnuQMW7Lac982Fuhkj75tRJW.png)
Answers
\(\huge\text{Hey there!}\)
\(\mathsf{Formula: a^2 + b^2 = c^2}\)
\(\textsf{Solving:}\)
\(\mathsf{2^2 + 6^2 = c^2}\)
\(\mathsf{2 \times 2 + 6 \times6 = c^2}\)
\(\mathsf{4 + 36 = c^2}\)
\(\mathsf{40 = c^2}\)
\(\large\textsf{Therefore, your answer should be:}\)
\(\huge\boxed{\frak{\sqrt{40}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Write it in interval notation
x ≤ 3 and x ≠ -1 or 4 ≤ x
Answers
The interval notation that expresses the expression is (-∝, 3] ∩ (-∝, -1) ∩ (-1, ∝) ∪ [4, ∝)
How to use interval notation to represent the expressions?The expression is given as:
x ≤ 3 and x ≠ -1 or 4 ≤ x
In inequality, "and" is represented with ∩, while "or" is represented with ∪
The above can be represented as:
x ≤ 3 ∩ x ≠ -1 ∪ 4 ≤ x
As an interval notation, we have (-∝, 3] ∩ (-∝, -1) ∩ (-1, ∝) ∪ [4, ∝)
Hence, the interval notation that expresses the expression is (-∝, 3] ∩ (-∝, -1) ∩ (-1, ∝) ∪ [4, ∝)
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1. Find the rule. _______. TYSM
Input Output
8 30
10 38
16 62
22 86
50 80
Answers
The rule that show the relationship between the input (x) and the output (y) is y = 4x - 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.
Let x represent the input and y represent the output, hence using the point (8, 30) and (10, 38):
y - 30 = [(38 - 30)/(10 - 8)](x - 8)
y = 4x - 2
The rule that show the relationship between the input (x) and the output (y) is y = 4x - 2
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______ has at least one solution, and an inconsistent system has no solution.
Answers
The statement "Consistent system of equations has at least one solution, and an inconsistent system has no solution" is true.
In the context of systems of linear equations, a consistent system refers to a system where there exists at least one solution that satisfies all the equations in the system. This means that the equations can be simultaneously satisfied by a set of values for the variables.
On the other hand, an inconsistent system refers to a system of equations that has no solution. This occurs when the equations are contradictory or cannot be satisfied simultaneously by any values for the variables.
Therefore, a consistent system guarantees the existence of at least one solution, while an inconsistent system does not have any solution.
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60% expressed as a ration is StartFraction 60 Over 100 EndFraction. What is this as a fraction in its reduced form?
Answers
Answer:
3/5
Step-by-step explanation:
60% means 60 out of 100. For example if you get 60 marks in an exam of 100 marks. This means you got 60% marks.
Which is 60/100. This fraction can further be reduced to 6/10 [divide both numerator and denominator by 10)
6/10 = 3/5 [divide both numerator and denominator by 2)
So, the reduced form of 60% =3/5
Thomas accepted a job through an employment agency. The agency charges 4.1% of his first
four weeks pay. To find the amount he owes the agency, he should multiply his first four
weeks' salary by what decimal? (1 Point)
Enter your answer
Can anyone plain
Answers
Answer:
0.041
Step-by-step explanation:
To convert the percentage to a decimal, you divide by 100.
true or false: for any two random variables x and y, -1 < p < 1
Answers
Answer: false
Step-by-step explanation:
1. FALSE. If X and Y are independent, then P(X=x, Y=y) = P(X=x)*P(Y=y). So, the value is not 0 in general. In fact, it holds value if at least one of P(X=x) and P(Y=y) posses value 0. 2. TRUE. An event and its complement event constitutes the total s
True, for any two random variables x and y, -1 < p < 1.
The value p represents the correlation coefficient between two random variables x and y. The correlation coefficient measures the strength and direction of the linear relationship between the variables. The range of p is between -1 and 1. If p is closer to -1, it implies that there is a strong negative correlation between x and y, meaning that as x increases, y decreases. If p is closer to 1, it implies that there is a strong positive correlation between x and y, meaning that as x increases, y also increases. If p is 0, it implies that there is no correlation between x and y.
Therefore, for any two random variables x and y, -1 < p < 1, as the correlation coefficient p must fall within this range.
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Part of your summer job is to count the number mosquitoes that get caught in traps around your city. At one trap, you count mosquitoes each week ("week 0" means the first day you counted) and record the following numbers:
Use a calculator or graphing technology to determine which of the following functions matches the numbers you counted in these first few weeks.
Question 1 options:
w=8(1.5M)
M(w)=8(1.5w)
M(w)=1.5(8w)
M(w)=4w+8
Question 2 (5 points)
The supervisor at vector control wants your report of how the mosquito population is growing. Do you think your report is better supported by the table above or by a graph of the growth function as show below? WHY? Explain the reasoning behind your conclusion.
Question 2 options:
Question 3 (5 points)
After how many weeks do you think it would be unreasonable to continue counting individual mosquitoes? And finally, at the end of the 13-week mosquito season, how many mosquitoes would you expect to be in the trap? Use complete sentences to explain both of your answers below.
Question 3 options:
Answers
Answer:
M(w)=8(1.5w)
Step-by-step explanation:
Did the test
Find the height of a cylinder with a volume of 150 pi cubic units and a radius of 5 units
Answers
V= π r^2 h
Solving for h
= 1.90986
= 1.91
4-(-7)-1+8
A. 20
B. 18
Which one?
Answers
The answer is B. 18
Three packages of egg noodles cost $6. 72. How much does each package cost? $2. 24 $2. 37 $2. 22 $2. 38
Answers
The cost of each package of egg noodles is $2.24. The answer is option A.
To find the cost of each package of egg noodles, you need to divide the total cost by the number of packages. In this case, there are three packages and the total cost is $6.72. Therefore, we need to divide $6.72 by 3 to find the cost of each package of egg noodles. Now, let us solve the problem step by step.Step 1: Identify the given valuesTotal cost of three packages of egg noodles = $6.72Step 2: Identify what you are looking for Cost of each package of egg noodlesStep 3: Set up the equationLet x be the cost of each package of egg noodles. Since there are three packages of egg noodles and their total cost is $6.72, we can write:3x = $6.72Step 4: Solve the equation Divide both sides of the equation by 3:x = $6.72 ÷ 3x = $2.24Step 5: Check your answernTo check your answer, substitute $2.24 for x in the original equation:3($2.24) = $6.72The left side simplifies to $6.72, which is equal to the right side. Therefore, $2.24 our answer is correct.
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Use the table to write a linear function that relates y to x
Answers
The linear function that relates y to x is given as y = 2x
What is an equation?An equation consists of numbers and variables linked together by mathematical operations to form an expression.
A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the initial value
From the table, using the points (0, 0) and (1, 2):
y - 0 = [(2 - 0)/(1 - 0)](x - 0)
y = 2x
The linear function that relates y to x is given as y = 2x
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you deposit a check for $254.67 into your savings account. Your account has a balance of $419.33 after the deposit. Find the balance of your savings account before the deposit.
Answers
Answer:
$164.66
Step-by-step explanation:
Just subtract them from each other
how many three-letter initials with none of the letters repeated can people have?
Answers
To find the number of three-letter initials with none of the letters repeated, we need to consider the number of choices for each position in the initials.
To determine the number of three-letter initials with none of the letters repeated, we can analyze each position in the initials. For the first letter, we have 26 choices since there are 26 letters in the English alphabet.
After selecting the first letter, for the second letter, we have 25 choices remaining since we cannot repeat the letter used in the first position. Similarly, for the third letter, we have 24 choices remaining since we cannot repeat either of the previous letters.
Therefore, the total number of three-letter initials with none of the letters repeated can be found by multiplying the number of choices for each position: 26 * 25 * 24 = 15,600. Hence, there are 15,600 different three-letter initials that people can have if none of the letters are repeated.
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Solve for w: 4w^2+49=-28w
Answers
Answer:
Fraction form: -7/2
Decimal form: -3.5
Move all terms to one side
4w^2 + 49 + 28w = 0
Rewrite 4w^2 + 49 + 28w in the form a^2 + 2ab + b^2, where a = 2w and b = 7
(2w)^2 + 2(2w)(7) + 7^2 = 0
Use the Square of Sum: (a + b)^2 = a^2 + 2ab + b^2
(2w + 7)^2 = 0
Take the square root of both sides
3w + 7 = 0
Subtract 7 from both sides
2w = -7
Divide both sides by 2
w = -7/2
How do you factor polynomials ?
Answers
Answer:I often do is just see how many terms in there if is only have two that will be Binomial, if it was three therm I will just think that probably trinomial, only have one that will be the monomial, more than 3 term i will think it just polynomials.
the value of xx in the equation.
x−17=12
Answers
Answer:
29
Step-by-step explanation:
x-17=12
17+12=29
x=29
29-17=12
Hope this helps
Answer:
x=29
Step-by-step explanation:
Ok, so you want to get x alone by itself on one side of the equal sign in order to solve for x. but is it alone? no. What is being done to it? 17 is being subtracted from it.
x-17=12
So you need to undo that by doing the opposite. The opposite of subtracting 17 is adding 17, so you need to add 17 to both sides of the equal sign.
x-17+17=12+17 Whenever you're working with equations (has an = sign) whatever you do to one side you HAVE to do to the other. that's why you have to add 17 to both sides. Then, simplify. The -17+17 cancel out
x=12+17
x=29
the student breaks taken during a class session are normally distributed with a mean of 6.3 minutes and a standard deviation of 2.2 minutes. find the probability that a student break lasts more than 7 minutes.
Answers
To find the probability that a student break lasts more than 7 minutes, we can use the z-score formula to standardize the break time and then use the standard normal distribution table or a calculator to find the probability. The probability that a student break lasts more than 7 minutes is approximately 0.3745 or 37.45%.
Step 1: Calculate the z-score.
The z-score formula is given by:
z = (X - μ) / σ
where X is the break time, μ is the mean, and σ is the standard deviation. In this case, X = 7 minutes, μ = 6.3 minutes,
and σ = 2.2 minutes. Plugging in these values:
z = (7 - 6.3) / 2.2 ≈ 0.32
Step 2: Find the probability using the standard normal distribution table or a calculator.
Now that we have the z-score, we can find the probability that a student break lasts more than 7 minutes. We want to find the area to the right of the z-score (0.32) since we are interested in break times longer than 7 minutes.
Using a standard normal distribution table or a calculator, we find that the area to the left of z = 0.32 is approximately 0.6255. However, we want the area to the right of z = 0.32, which is given by:
Area to the right of z = 1 - Area to the left of z
Area to the right of z ≈ 1 - 0.6255 ≈ 0.3745.
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where does the dependance of experience is reflected in prior proability syntactic distinction semantic distinction both a & b none of the mentioned
Answers
The dependance on experience is reflected in the syntactic distinction between prior probability statements.
syntax refers to alphabet, while semantics refers to meaning. Syntax is the set of rules demanded to insure a judgment is grammatically correct; semantics is how one's wordbook, grammatical structure, tone, and other rudiments of a judgment coalesce to communicate its meaning. syntax is the arrangement or order of words, determined by both the pen's style and alphabet rules. consisting of or noting coinages that are combined in the same order as they would be if they were separate words in a corresponding construction The word blackberry, which consists of an adjective followed by a noun, is a syntactic emulsion.
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Divide Using a Standard AlgorithmSolve 518 ÷ 4 = ___.
A. 129
B. One hundred twenty-nine and two-fourths
C . One hundred twenty-nine and five-fourths
D. 130
Answers
Answer:
129 and two fourths
Step-by-step explanation:
4)518(129
4
11
8
38
36
2 < ----remainder
..