Solving the Question
[tex](0.5- 0.3)^2[/tex]
⇒ Subtract inside the parentheses:
[tex]= (0.2)^2[/tex]
⇒ Evaluate the exponent by multiplying 0.2 by 0.2:
[tex]= 0.04[/tex]
Answer0.04
Answer:
0.04
Step-by-step explanation:
A triangle has an area of 32 mm² in the base of 8 mm what is the height ?
The height of the triangle is 32 mm
How to find the height of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The area of a triangle can be represented as follows:
area of a triangle = 1 / 2 bh
where
b = baseh = heightTherefore, the triangle has an area of 32 mm² and base of 8 mm. Let's find the height of the triangle as follows:
area of a triangle = 1 / 2 bh
32 = 1 / 2 × 8 × h
4h = 32
divide both sides by 4
h = 32 / 4
h = 8 mm
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what is the seventh partial sum for the sequence - 13,22,31,40....
?
The nth partial sum of an infinite sequence is the sum of first n terms starting from the first one. The partial sum of the sequence is given as 280.
What is an arithmetic sequence?An arithmetic sequence is a kind of sequence of numbers where the difference of any two consecutive terms are the same.
This difference is known as the common difference of the sequence.
Given that,
The sequence is 13,22,31,40....
The first term of the sequence is a₁ = -13.
The difference between consecutive terms is,
22 - 13 = 9
31 - 22 = 9
And, 40 - 31 = 9
Since, the difference between two consecutive terms are same, the given sequence is arithmetic.
The sum of first n terms of an arithmetic sequence is given as,
Sₙ = n/2(2a₁ + (n - 1)d)
Substitute n = 7 to obtain,
S₇ = 7/2(2 × 13 + (7 - 1) × 9)
= 7/2 × 80
= 280
Hence, the seventh partial sum of the given sequence is 280.
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If the bond angle between two adjacent hybrid orbitals is 109. 5°, which is the hybridization?.
109.5° is the bond angle between two nearby hybrid orbitals. sp3 will be the hybridization.
The hybridization would be sp3. This is because the bond angle of 109.5° is characteristic of hybridized orbitals with four sp3 orbitals, which form an angle of 109.5°. sp3 hybridization occurs when one s orbital and three p orbitals mix to form four sp3 hybrid orbitals.
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A number t multiplied by negative -4 is at least negative 2/5
Answer:
-4t ≥ -2/5
Step-by-step explanation:
t≥0.1
3x² + 15x-5) •/. (x + 5)
Divide using synthetic division
Mary Beth Marrs, the manager of an apartment complex, feels overwhelmed by the number of complaints she is receiving. Below is the check sheet she has kept for the past 12 weeks. Develop a Pareto chart using this information. What recommendations would you make?WEEK GROUNDSPARKING/DRIVES POOLTENANTISSUESELECTRICAL1333 33 3 33323 333 33 33 33333 333 33 343 3333 3 3 33533 333 3333 3363 3333 337333 33 3383 3333 33 333 393 33 3103 3333 33 3311333 33 312 33 333 333 3Problem S6.11
Mary Beth Mars, develops a Pareto chart using the information. The recommendations that you would make is as follows:
A graph containing both bars and a line, the bars representing individual values in descending order and the line representing the cumulative total, is known as a Pareto chart. The Pareto chart allows us to concentrate on it when we need to. The Pareto chart is built upon the 80%-20% run of the show. The Pareto chart states that 20% of arrangements assist in resolving 80% of issues. The complex manager, Mary Beth Marrs, must concentrate on issues with the pool, the ground, and the stopping part in order to satisfy the majority of residents and reduce complaints.
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For each of the following ML functions, could the activation record for the function be deallocated as soon as the function returns? Explain why or why not.a) fun f x = x + 1;b) fun f x = fn y => x + y;c) fun f x = fn y => y + 1;d) fun f x = map ~ x;
The explanation for each condition of the question is given below in which the activation record for the function is deallocated for Option (A).
What is an activation record?
Information required for just one execution of a procedure is managed by an activation record. When a procedure is called, an activation record is pushed into the stack, and it is popped when the control is returned to the calling function.
From the question, Languages typically group all activation-specific function validation under the umbrella of an activation record.
Whenever the block is entered, extend the function activation record.
a. fun f x = x + 1;
In this situation, the activation record concludes after the function "f" exits.Extend the function activation record if the block is entered; otherwise, revert.The activation record was terminated after execution at x=x+1. So, we. The activation record has to be reallocated.Because f(x)=x+1.11f is called, the local function is returned. The activation record is therefore deallocated.b. fun f x = y =>x y;
Take fun f
x=fun y
x+y
Here, f(x) and f are two functions (y).The execution of f(x) requires f(y).Therefore, until f(x) and f(y) is performed, the activation record will remain active. When the control returns to the first function, the activation record is exited.Therefore, during the function return, we need to reallocate the activation record.c. fun.f x = fn y => y+ 1;
fun f
x => fn
y => y+1
In this case, the activation record is expanded to include the second function, f(y), whose execution is reliant on f(x).The record will remain active till the execution of the two functions.After the activation record has been allocated, it is reactivated as the method returns.d. fun f x = map ~ x
Here, the map is used to connect the list to the function f(x) and the activation record is for the function f(x). As a result, the activation record is changed independently and then returned.As a result, a new activation record is not necessary.To learn more about an activation record
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NO LINKS! PLEASE HELP ME!
Answer:
4860 bacteria
Step-by-step explanation:
The given scenario can be modelled using an exponential function with base e.
[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function with base $e$}\\\\$y=Ae^{kx}$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $e$ is Euler's number. \\ \phantom{ww}$\bullet$ $k$ is some constant.\\\end{minipage}}[/tex]
Define the variables:
Let y be number of bacteria.Let x be the time (in hours)Given the initial number of bacteria is 20, then A = 20.
[tex]\implies y=20e^{kx}[/tex]
If the bacteria triples its number in 16 hours, then when x = 16:
[tex]\implies y=3 \times 20= 60[/tex]
Substitute x = 16 and y = 60 into the equation and solve for k:
[tex]\begin{aligned}y&=20e^{kx}\\\implies 60&=20e^{16k}\\\dfrac{60}{20}&=e^{16k}\\3&=e^{16k}\\\ln 3&=\ln e^{16k}\\ \ln3&=16k \ln e\\\ln3&=16k\\k&=\dfrac{1}{16} \ln 3\end{aligned}[/tex]
Therefore, the equation that models the given scenario is:
[tex]\large\boxed{y=20e^{\left(\frac{1}{16}x \ln 3\right)}}[/tex]
To find how many bacteria there are after 80 hours, substitute x = 80 into the equation and solve for y:
[tex]\implies y=20e^{\left(\frac{1}{16}(80) \ln 3\right)}[/tex]
[tex]\implies y=20e^{\left(5 \ln 3\right)}[/tex]
[tex]\implies y=20e^{\left(\ln 3^5\right)}[/tex]
[tex]\implies y=20e^{\left(\ln 243\right)}[/tex]
[tex]\implies y=20 \cdot 243[/tex]
[tex]\implies y=4860[/tex]
Therefore, there are 4860 bacteria after 80 hours.
-----------------------------------------------------------------------------------------------
Please note that I have solved this question so that you can calculate the number of bacteria for any number of hours, part hours, etc.
However, there is a much simpler way of solving this particular question.
If the number of bacteria triples every 16 hours, then it will triple 5 times within 80 hours since 80 ÷ 16 = 5.
Therefore:
Hour 0: 20Hour 16: 20 × 3 = 60Hour 32: 60 × 3 = 180Hour 48: 180 × 3 = 540Hour 64: 540 × 3 = 1620Hour 80: 1620 × 3 = 4860As you can see, the result is the same as the previous method.
Line j has an equation of y= 1 /5 x+7. Perpendicular to line j is line k, which passes through the point (– 1,– 3). What is the equation of line k
Answer:
y = -5x -8
Step-by-step explanation:
The slope must be the negative reciprocal(-5). So we have y = -5x + b, where we need to find b. To do that, we will plug in the known point. This gives us [tex]-3 = -1 * -5 + b[/tex], or[tex]-3 = 5 + b[/tex]. We subtract 5 from both sides to get b = -8.
two gamblers are playing a coin toss game. gambler a has (n 1) fair coins; b has n fair coins. what is the probability that a will have more heads than b if both flip all their coins
Gambler A loses his comparative advantage the more coins that are tossed for both Gamblers. But Gambler A will always maintain the advantage and has quite a heavy advantage when a few coins are tossed.
What is the binomial distribution?
The discrete probability distribution of the number of successes in a series of n independent experiments is called the binomial distribution with parameters n and p in probability theory and statistics.
Let X be the count of successes in the first n flips by A, Y the indicator that the last flip by A is also a success, and Z the count of successes in n flips by B.
Because Y is independent of X and Z, then:
P(X + Y > Z) = P(Y = 1) P(X ≥ Z) + P(Y = 0) P(X > Z)
= 1/2(P(X = Z) + 2P(X > Z))
P(X > Z) = P(Z > X)
Gambler A loses his comparative advantage the more coins that are tossed for both Gamblers. But Gambler A will always maintain the advantage and has quite a heavy advantage when a few coins are tossed.
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if a baseballs cost $4.50 how much will 5 cost
Answer:
22.5
Step-by-step explanation
22.5 is the correct answer because 4.50 times 5 is 22.5 :))))
Answer:
22.5
if one baseball cost $ 4.50 , we multiply it by 5 , or add 4.50+4.50+4
.50+4.50+4.50 same thing.
Three out of 5 students at Maria's school participate in a school club or sport. There are 175 students at the school. How can equivalent fractions be used to find the s, the total number of students participating in a school club or sport?
The total number of students participating in a school club or sport is 105.
How to calculate the number of students?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.
Given that three out of 5 students at Maria's school participate in a school club or sport and there are 175 students at the school.
In this situation, the number of people that participate will be:
= Fraction utilized × Total number of students
= 3/5 × 175
= 105
The number of people is 105.
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test worth 50 points; test score of 40%
Answer:
20/50
Step-by-step explanation:
40% is equal to 40/100
40/100 is equal to 20/50
find the measure of a negative angle co terminal with 95°
given that $x$, $\frac{1}{x}$, $y$, $\frac{1}{y}$, $z$ and $\frac{1}{z}$ are all integers, how many distinct values of $x y z$ are possible?
Distinct value of x, y, z are will be 3
Consider the function will be f(x) = x3 - x2 - 2x +2 = ( x - 1 ) (x2 - 2 )
we have three real roots and ,
x + y + z = - 1/ (-1)
= 1 ,
1/x + 1/y + 1/z = -2 /(-2)
= 1
Consider the function
f(x) = x3 - x2 - 40 + 20.
Set the derivation equal 0 we get x = 4 and x = -10/3
are two local extrema. When x= 4 , f(x)<0,when x = -10/3 . f(x) >0 there are three real roots . we have x + y + z = 1 and 1/x + 1/y + 1/z = - (-40)/ 20 = 2
consider the function
f(x) = x3 - x2- 40x + 40/3 .
we still have same local extrema as (2) and we have x= 4 , f(x) < 0 and we
x= -10/3 , f(x) > 0 so there are three real roots. We have x+ y + z = 1 and 1/x + 1/y + 1/z = -(-40)/40/3 = 3
So, there are 3 distinct values
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in a survey of 500 residents, 300 were opposed to the use of photo-cops for issuing traffic tickets. find the margin of error that corresponds to a 95% confidence interval for the proportion of residents that are opposed to the use of photo-cops for issuing traffic tickets.
The margin of error that corresponds to a 95 % confidence interval for the proportion of residents that are opposed to the use of photo - cops for issuing traffic tickets is 0.04.
Given:
in a survey of 500 residents, 300 were opposed to the use of photo-cops for issuing traffic tickets.
Sample size n = 500
Number of success X = 300
Sample proportion p = X/n
= 300/500
= 30/50
= 3/5
= 0.6
z score at 95% = 1.96
Margin of error = z * [tex]\sqrt{p(1-p)/n}[/tex]
= 1.96 * [tex]\sqrt{0.6(1-0.6)/500}[/tex]
= 0.04
Therefore the margin of error that corresponds to a 95 % confidence interval is 0.04.
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in randomized, double-blind clinical trials of a new vaccine, were randomly divided into two groups. subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. after the second dose, of subjects in the experimental group (group 1) experienced as a side effect. after the second dose, of of the subjects in the control group (group 2) experienced as a side effect. does the evidence suggest that a higher proportion of subjects in group 1 experienced as a side effect than subjects in group 2 at the level of significance? question content area bottom part 1 verify the model requirements. select all that apply. a. the data come from a population that is normally distributed. b. the samples are independent. your answer is correct.c. the sample size is more than 5% of the population size for each sample. d. the samples are dependent. e. and your answer is correct.f. the sample size is less than 5% of the population size for each sample. your answer is correct. part 2 determine the null and alternative hypotheses. : equals : greater than part 3 find the test statistic for this hypothesis test.\
what is the sum of all integers $n$ that satisfy $$-3n < 7n-20 < 3n~?$$ in other words, what is the sum of all integers $n$ that satisfy both of the inequalities $$-3n<7n-20\text{~~and~~}7n-20<3n~?$$
3+4=7 is the total of all possible integer values of n.
What are integers?Integers include zero, a positive natural number, and a negative integer represented by a minus sign.
The negative numbers are the inverse additions of the comparable positive numbers.
In mathematical notation, the letter Z is widely used to denote a set of numbers.
An integer is a whole number that can be positive, negative, or zero and is not a fraction.
Integer examples include -5, 1, 5, 8, 97, and 3,043.
So, the two inequalities are resolved independently. We add 3n to both sides of the first inequality, -3n7n-20, to find the solution:
Then, we add 20 to both sides to get 010n-20:
20<10n.
Lastly, multiplying both sides by 10 yields 2n, indicating that n must be bigger than 2.
We deduct 3n from both sides of the second inequality, 7n-203n:
Add 20 on both sides of 4n-200 to obtain:
4n<20.
Lastly, n must be less than 5 since the result of dividing both sides by 4 is n5.
Only the numbers 3 and 4 are greater than 2 and less than 5.
Therefore, 3+4=7 is the total of all possible integer values of n.
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In a tug-of-war, Team A is pulling to the left with 6 Newtons and Team B is pulling to the right with
4 Newtons. What is the net force?
Answer: 2n!
Step-by-step explanation:
6N -4 N =2N
What is an equation of the line that passes through the point (1,7)(1,7) and is perpendicular to the line x+6y=42x+6y=42?
The equation of the perpendicular line to x + 6y = 42 is: y = 6x + 1.
What are Perpendicular Lines?The lines that are perpendicular to each other will have slope values that have a product of -1, which means one is a negative reciprocal of the other.
Given the equation, x + 6y = 42, it can rewritten in slope-intercept form as shown below:
6y = -x + 42
6y/6 = -x/6 + 42/6
y = -1/6x + 7
The slope of the line is -1/6. The negative reciprocal of -1/6 is 6. Therefore, the slope of the line that is perpendicular to x + 6y = 42 is 6.
Substitute m = 6 and (x, y) = (1, 7) into y = mx + b to find the y-intercept (b):
7 = 6(1) + b
7 = 6 + b
7 - 6 = b
b = 1
Tp write the equation of the perpendicular line, substitute m = 6 and b = 1 into y = mx + b:
y = 6x + 1
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ANSWER ASAP!!!!!!!!!!!!!!!
Choose the scatter plot that suggests a linear relationship between x and y.
Answer:
The 4th scatter plot indicates a linear relationship
Step-by-step explanation:
The first and third scatter plot graphs are too noisy to indicate a proper trend. The second scatter plot is quadratic and the fourth one is linear.
From Arcadia, how much farther is it to Lakewood than to Bluepoint?
5.38 mi
12.6 mi
12.88 mi
Bluepoint
Arcadia
Lakewood
Dayton
The distance from Lakewood than to Bluepoint is 17.98 miles.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Distance between Bluepoint to Arcadia = 5.38 miles.
Distance between Arcadia to Lakewood= 12.6 miles.
Distance between Lakewood to Dayton = 12.88 miles.
So, the distance from Lakewood than to Bluepoint
= 12.6 +5 .38
= 17.98 miles
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suppose a student completes an experiment with an average value of 2.5 ml and a calculated standard deviation of 0.66 ml. what is the minimum value within a 1 sd range of the average?
The minimum value within a 1 sd range of the average as calculated from the given data is 1.84 ml.
standard deviation range = [average - SD, average + SD]
Here ,
the maximum value =
average - SD = 2.5 - 0.66 = 1.84 ml
and the maximum value =
average + SD = 2.5+ 0.66 = 3.16 ml
Both the standard deviation and range are indicators of how widely distributed a set of data is. Given that they are both measures of variance, each number conveys to us in its own particular way how dispersed the data are.
Although the range and standard deviation do not directly correlate, there is a general method that can be used to connect these two statistics. The range rule for standard deviation is another name for this connection.
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which of the following hypotheses can be tested with the data that was collected? group of answer choices the average number of consumers that prefer catalogs in spanish is large the average number of consumers that prefer catalogs in english is large the percent of hispanics that are likely to buy from an l.l. bean catalog is higher than 30% the percent of hispanics that prefer to read catalogs in spanish is equal or higher than 30%
The percent of Hispanics that prefer to read catalogs in Spanish is equal or higher than 30%
What is percentage ?
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.
The percent of Hispanics that prefer to read catalogs in Spanish is equal or higher than 30%
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Which equation is the equation of a line that passes through (-10 3) and is perpendicular to y=5x-7.
Answer:
y=5x+53
Step-by-step explanation:so all i did was go into the demos app and typed in y=5x-7 and then i entered y=5x+30 and i kept going up until i found the right answer
The sum of a number and 7 times its reciprocal is 16/3. Find the number
Answer:
7/3 or 3
Step-by-step explanation:
Step by step explanation is shown in the picture attached.
Hope it helps
Mr. Etrada' car can travel no more than 510 mile on one full tank of gaoline. After filling up the tank with gaoline, he traveled 194 mile in the car. Write an inequality that repreent the value of m, the number of mile Mr. Etrada can travel in the car with the remaining gaoline in the tank and olve
After covering 194 miles, Mr. Etrada's car can go a maximum of 316 miles with the gas still in the tank and the inequality that represents the given situation is x + m ≤ 510.
What is inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.
The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign.
It is an illustration of inequity.
This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.
Finding the x numbers for which the inequality holds true is what we are most interested in.
So, the inequality that can represent the given situation is:
x = total distance traveled
m = miles that the gas will allow you to go
The maximum number of miles per full tank is 510.
Then,
x + m ≤ 510
194 + m ≤ 510
m ≤ 510 - 194
m ≤ 316
Therefore, after covering 194 miles, Mr. Etrada's car can go a maximum of 316 miles with the gas still in the tank and the inequality that represents the given situation is x + m ≤ 510.
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Fred deposits $6,500 in a saving account that pays 0.5% interest, compounded quarterly. Round each answer to the nearest cent.
a. Find the first quarter's interest.
b. Find the first quarter's ending balance.
c. Find the second quarter's interest.
d. Find the second quarter's ending balance.
e. Find the third quarter's interest.
f. Find the third quarter's ending balance.
g. Find the fourth quarter's interest.
h. What is the balance at the end of one year?
i. How much interest does the account earn in the first year?
The amount of interest earned quarterly at 0.5% interest rate compounded quarterly are;
a. Interest for the first quarter = $8.125
b. First quarter ending balance = $6,508.125
c. Interest for the second quarter = $8.13515625
d. Second quarter ending balance = $6,516.26015625
e. Interest for the third quarter = $8.1432520325
f. Third quarter closing balance = $6,524.40548145
g. Interest for the fourth quarter = $8.15550685975
h. The amount of interest earned in a year is about $32.56
What is an interest earned on an amount?An interest is the amount a borrower pays to a lenders as to make use of the lender's funds.
The amount Fred deposited, P = $6,500
The interest paid by the account, r = 0.5% compounded quarterly
a. The first quarter interest can be found by the formula;
[tex]C.I. = P\cdot \left(1 + \dfrac{r}{4} \right)^{4\times \dfrac{1}{4} }- P[/tex]
Therefore;
[tex]C.I. = 6500\times \left(1 + \dfrac{\frac{0.5}{100} }{4} \right)^{4\times \dfrac{1}{4} }- 6500 = 8.125[/tex]
The interest after the first period is $8.125
b. The first quarter ending balance is therefore;
A = P + C.I.
A = $6,500 + $8.125 = $6,508.125
c. The second quarter's interest can be found from the formula;
[tex]C.I. = P\cdot \left(1 + \dfrac{r}{4} \right)^{4\times t} - P[/tex]
Here, P = The balance from the first quarter = $6,508.125
t = 1/4 for one quarter
Therefore;
[tex]C.I. = 6508.125\times \left(1 + \dfrac{\frac{0.5}{100} }{4} \right)^{4\times \dfrac{1}{4} }- 6508.125 = 8.13515625[/tex]
The second quarter's interest is $8.13515625
d. The second quarter ending balance is therefore;
A = $6,508.125 + $8.13515625 = $6,516.26015625
The second quarter ending balance is $6,516.26015625
e. The third quarters interest is therefore;
[tex]C.I. = 6516.26015625\times \left(1 + \dfrac{\frac{0.5}{100} }{4} \right)^{4\times \dfrac{1}{4} }- 6516.26015625 = 8.1432520325[/tex]
The third quarter's interest is about $8.1433
f. The third quarter's ending balance is therefore;
A ≈ $6516.26015625 + $8.1432520325 = $6,524.40548145
The third quarter's ending balance is $6,524.40548145
g. The fourth quarter's interest can be found as follows;
[tex]C.I. = 6,524.40548145 \times \left(1 + \dfrac{\frac{0.5}{100} }{4} \right)^{4\times \dfrac{1}{4} }- 6524.40548145 = 8.15550685975[/tex]
The fourth quarter's interest is; $8.15550685975
h. The balance at the end of one year is therefore;
Balance = C.I. fourth quarter + Principal for the fourth quarter
Therefore;
Balance = $6,524.40548145 + $8.15550685975 = $6,532.56098831
i. The interest the account earns in a year is therefore;
$6,532.56098831 - $6,500 = $32.5609883
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calculate the probability that there will be at least four months in which no accidents occur before the fourth month in which at least one accident occurs.
To calculate the probability that there will be at least four accident in no accident occur before the forth month in which at least one accident occurs
If a month with one or more accidents is regarded as success and let the
k = the number of failures before the fourth success, and then k follows a negative binomial distribution and the requested probability is
1. success taken as a month with no accident
2. k = the number of failure before the fourth success
Alternatively the solution is where [tex]Pr[k\leq 3][/tex]
which is derived directly as a negative binomial distribution
Therefore, the probability that there will be at least four months in which no accidents occur before the fourth month in which at least one accident occurs is 0.2898
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use the graphs of f and g to describe the transformation from the graph of f the the graph of f to the graph of g.
f(x) = -3x + 4 ; g(x) = f(x) + 1
The value of the function f(x) = -3x+4 is -3x+5
What is function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Given a function, f(x) = -3x+4
g(x) is described as f(x) +1
g(x) = -3x+4+1
g(x) = -3x+5
The graph of f(x) will move 1 unit farther when transformed into g(x).
Hence, The value of the function f(x) = -3x+4 is -3x+5
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