Answer:
Interest will amount to $142.58
Total amount Levi will have to pay back at the end of 6 months=$7271.58
Step-by-step explanation:
Simple interest=principal×rate×time
Principal=$7129
Rate=4%=0.04
Time=6 month=0.5 year
Simple interest=principal×rate×time
=$7129×0.04×0.5
=$142.58
Interest will amount to $142.58
Total amount Levi will have to pay back at the end of 6 months
=principal + total interest
=$7129+$142.58
=$7271.58
If $17,800 is invested at an interest rate of 8% per year, find the value of the investment at the end of 5 years for the following compounding methods, to the nearest cent.
Answer:
7120
Step-by-step explanation:
What angle is included by AB and BC ?
B
A
O A. ZB
OB. ZA
O c. Zc
Answer:
[tex] \angle B[/tex]
Step-by-step explanation:
[tex] \angle B[/tex] is included by AB and BC, because B is the common vertex in AB and BC,
Tyrese’s sister is 41 inches tall. A ride at the amusement park states that riders must be at least 52 inches tall to ride. Which statements describe how much taller Tyrese’s sister must be to ride? Select two options.
Answer:
minimum of 11 and at least 11 inches
It is Sister height ≥ 52 inches
The symbol means that the sister's height has to be equal or greater than 52 inces
Step-by-step explanation:
Answer:
A and D
Step-by-step explanation:
The given function is analytic at a = 0. Use appropriate series in (2) and long division to find the first four nonzero terms of the Maclaurin series of the given function.
Sec x.
Answer:
[tex]\mathbf{1 + \dfrac{x^2}{2!}+ \dfrac{5}{24}x^4+\dfrac{61}{720}x^6}[/tex]
Step-by-step explanation:
From the given information:
we are to find the first four nonzero terms of the Maclaurin series of the given function.
Sec x.
If we recall ; we will realize that the derivative of sec x = [tex]\dfrac{1 }{cos \ x}[/tex]
Also; for cos x ; the first four terms of its Maclaurin Series can be expressed as ;
=[tex]1- \dfrac{x^2}{2!}+\dfrac{x^4}{4!}- \dfrac{x^6}{6!}+...[/tex]
However, using the long division method: we have;
[tex]\dfrac{1}{1- \dfrac{x^2}{2!}+\dfrac{x^4}{4!}- \dfrac{x^6}{6!}}[/tex]
the rule of the long division method is to first use the 1 from the denominator to divide the 1 from the numerator. the multiply it with the answer we get which is (1) before subtracting it from that answer (1).
i.e
1/1 = 1
1 × 1 = 1
1 - 1 = 0
Afterwards; we will subtract the remaining integers from this numerator.
So, we have:
[tex]\dfrac{-(1 - \dfrac{x^2}{2!}+\dfrac{x^4}{4!}- \dfrac{x^6}{6!} )}{0+ \dfrac{x^2}{2!}-\dfrac{x^4}{4!}+ \dfrac{x^6}{6!}}[/tex]
We are going to apply the same process to the remainder [tex]\dfrac{x^2}{2!}[/tex];
which is to divide the second integer with 1
[tex]\dfrac{\dfrac{x^2}{2!}}{1}= \dfrac{x^2}{2!}[/tex]
Then we will multiply the numerator with [tex]\dfrac{x^2}{2!}[/tex] ; the result will then be subtracted from the polynomial.
[tex]= \dfrac{-( \dfrac{x^2}{2!} - \dfrac{x^4}{2! 2!} + \dfrac{x^6}{2! 4!}- \dfrac{x^8}{2! 6!}) }{0 + \dfrac{5}{24}x^4 - \dfrac{7}{360}x^6- \dfrac{x^8}{2!6!} }[/tex]
Repeating the same process for remainder [tex]\dfrac{5}{24}x^4[/tex]; we have:
[tex]\dfrac{ \dfrac{5}{24}x^4 }{1}= \dfrac{5}{24}x^4[/tex]
so; we will need to multiply 1 with [tex]\dfrac{5}{24}x^4[/tex] and subtract it from the rest of the polynomial
[tex]=\dfrac{{0 + \dfrac{5}{24}x^4 - \dfrac{7}{360}x^6- \dfrac{x^8}{2!6!} }}{ 1-x^2+ \dfrac{x^4}{4!} - \dfrac{x^6}{6!} }[/tex]
[tex]= \dfrac {- ( \dfrac{5}{24}x^4 -\dfrac{5}{2!4!}x^6 - \dfrac{5x^8}{4!4!} - \dfrac{5x^{10}}{6!4!} } {0+ \dfrac{61}{720}x^6}[/tex]
Here ; the final remainder is [tex]\dfrac{61}{720}x^6}[/tex]; repeating the usual process for long division method; we have:
[tex]\dfrac{\dfrac{61}{720}x^6}{1}= \dfrac{61}{720}x^6}[/tex]
So;
[tex]= \dfrac{0+ \dfrac{61}{720}x^6}{1-x^2+ \dfrac{x^4}{4!} - \dfrac{x^6}{6!} }[/tex]
[tex]= \dfrac{-( \dfrac{61}{720}x^6)}{0 }[/tex]
Now the first four nonzero terms of the Maclaurin series is the addition of all the integers used as remainders ; i.e
[tex]\mathbf{1 + \dfrac{x^2}{2!}+ \dfrac{5}{24}x^4+\dfrac{61}{720}x^6}[/tex]
Find the height of cylinder when volume is 154 cm^3 volume and radius is 3 cm
Answer:
Volume of a cylinder is πr²h
Where
r is the radius
h is the height
Volume = 154cm³
radius = 3cm
height = ? cm
154 = π × 3² × h
154 = π × 9 × h
154 = 9πh
divide both sides by 9π
h = 154/9π
h = 5.4cm
Height is 5.4cm
Hope this helps
0.006772 to 1 significant number
Answer:
0.006772
If the last dropping digit is less than 5 then it will be ignored
0.00677
if the last dropping digit is greater than 5 than the the last retained digit increases by 1
0.0068
if the last dropping digit is greater than 5 than the the last retained digit increases by 1
0.007
if the last dropping digit is greater than 5 than the the last retained digit increases by 1
0.01
if the last digit is less than 5 so it will be ignored
0.0 is significant figure because zero to the right of decimal point are significant
Step-by-step explanation:
i hope this will help you :)
Answer:
0.007
Step-by-step explanation:
Rounding off 0.006772 to 1 significant figures:
=> 0.007
There is only 1 significant figure in this , since the zeroes on the left are not counted as significant figures.
John sold a generator and made a profit o $98, which is equal to 4 1/4 percent of the cost price.What was the cost of the Generator?
Divide the profit by the percentage:
98 / 0.0425 = 2305.88
The cost was $2,305.88
In 1990, the profit of the Gamma company was $11.900,848. Each year after 1990profits fell by \$48,263 on average Construct a linear model for this scenario and use it to solve for the profits in the year 2020. Round your answer to a whole dollar
Answer:
$10452958
Step-by-step explanation:
Initial profit = $11900848
Fall rate= $48263 per year
Equation:
P(x)= 11900848 - (x-1990)*48263,where P(x)= profit at year of x, and 1990<x<2020
P(2020)= 11900848- 30*48263= $10452958Which equation can be used to solve for x in the following diagram?
Answer:
x + (4x-85) = 90
Step-by-step explanation:
The two angles are complementary which means they add to 90 degrees
x + (4x-85) = 90
Answer: A
Step-by-step explanation:
Both angles are makes a right angle which adds up to 90 degrees so they both have to add up to 90 degrees.
Do Audience Ratings Differ Based on the Genre of the Movie? The dataset HollywoodMovies includes a quantitative variable on the Audience-Score of the movie as well as a categorical variable classifying each movie by its Genre. The computer output above gives summary statistics for audience ratings based on genre for a sample of the movies, using four of the possible genres. Variable Genre N Mean StDev Minimum Qi Median Q3 Maximum Audience Score Action 32 58.63 18.39 32.00 44.50 51.00 78.00 93.00 Comedy 27 59.11 15.68 31.00 48.00 58.00 71.00 93.00 Drama 21 72.10 14.55 46.00 59.00 72.00 84.50 91.00 Horror 17 48.65 15.88 25.00 34.00 52.00 60.50 78.00 (a) Which genre has the highest mean audience score? The lowest mean audience score? (b) Which genre has the highest median score? The lowest median score? (c) In which genre is the lowest score, and what is that score? In which genre is the highest score, and what is that score? (d) Which genre has the largest number of movies in that category? (e) Calculate the difference in mean score between comedies and horror movies, and give notation with your answer, using i, for the mean comedy score and , for the mean horror score.
Answer:
Step-by-step explanation:
Hello!
(a) Which genre has the highest mean audience score? The lowest mean audience score?
1) Action [tex]\frac{}{X}_1[/tex]= 58.63
2) Comedy [tex]\frac{}{X}_2[/tex]= 59.11
3) Drama [tex]\frac{}{X} _3[/tex] = 72.10
4) Horror [tex]\frac{}{X}_4[/tex]= 48.65
The lowest mean score is [tex]\frac{}{X}_4[/tex]= 48.65
The highest mean score is [tex]\frac{}{X} _3[/tex] = 72.10
(b) Which genre has the highest median score? The lowest median score?
1) Action Me₁= 51.00
2) Comedy Me₂= 58.00
3) Drama Me₃= 72.00
4) Horror Me₄= 52.00
The Lowest median is Me₁= 51.00
The Highest median is Me₃= 72.00
(c) In which genre is the lowest score, and what is that score? In which genre is the highest score, and what is that score?
Lowest or minimum scores:
1) Action 32.00
2) Comedy 31.00
3) Drama 46.00
4) Horror 25.00
The genre with the lowest score is "Comedy"
Highest or maximum scores:
1) Action 93.00
2) Comedy 93.00
3) Drama 91.00
4) Horror 78.00
There are two genres with the highest score "Action" and "Comedy"
(d) Which genre has the largest number of movies in that category?
The number of movies for each category corresponds to the sample sizes:
1) Action n₁= 32
2) Comedy n₂= 27
3) Drama n₃= 21
4) Horror n₄= 17
The largest number of movies sampled was for the genre "Action"
(e) Calculate the difference in mean score between comedies and horror movies, and give notation with your answer, using i, for the mean comedy score and, for the mean horror score.
Comedy [tex]\frac{}{X}_C[/tex]= 59.11
Horror [tex]\frac{}{X}_H[/tex]= 48.65
[tex]\frac{}{X}_C[/tex] - [tex]\frac{}{X}_H[/tex]= 59.11 - 48.65= 10.46
I hope this helps!
QUESTION 4
In a class. 30 students read English, 25 read Mathematics, 5 read both subjects and 6 were
allowed to read both subjects. How many students are in the class?
CH
Answer:
66
Step-by-step explanation:
30+25+5+6 = 66.
There are 66 students in the class.
The pH scale measures the amount of alkalinity or acidity in a liquid and ranges from 0-14. The ideal pH for a swimming pool is 7.2. A pH that is too high or low can cause discomfort for the swimmers, especially in the eyes. High variability in the pH readings across the swimming pool can be problematic. The following data shows seven pH readings that were taken at the Wilson Community Pool from different locations at 10 a.m. this morning. The average pH reading from this sample was 7.02 with a sample standard deviation of 0.40. Using α= 0.05 and the critical value approach, determine if correctiveaction is needed at this pool to adjust the pH value.
Required:
State your conclusion.
a. Because calculated t statistic is greater than t critical value, we reject the null hypothesis. Therefore, Wilson Community Pool cannot conclude that the pH value is not equal to 7.2. Based on this sample, corrective action needs to be
taken.
b. Because calculated t statistic is less than critical t value, we reject the null hypothesis. Therefore, Wilson Community Pool cannot conclude that the pH value is not equal to 7.2. Based on this sample, corrective action needs to be
taken.
c. Because the t calculated is greater than the critical t, we fail to reject the null hypothesis. Therefore, Wilson Community Pool conclude that the pH value is equal to 7.2. Based on this sample, no corrective action is needed.
d. Because the t calculated is less than the critical t, we fail to reject the null hypothesis. Therefore, Wilson Community Pool conclude that the pH value is equal to 7.2. Based on this sample, no corrective action is needed.
Answer:
the answer for the question is b.because calculated statistic less than critical t,value we reject the null hypothesis. Therefore, Wilson Community Pool cannot conclude............
The Conclusion of the Hypothesis is; D. Because the t calculated is less than the critical t, we fail to reject the null hypothesis.
How to State A Hypothesis Conclusion?From the given question, we see that;
Population Mean; μ = 7.2
Sample Mean; x⁻ = 7.02
Significance level; α = 0.05
Now, in hypothesis, If the absolute value of the t-value is less than the critical value, you fail to reject the null hypothesis whereas if the absolute value of the t-value is greater than the critical value, you reject the null hypothesis.
Thus, the conclusion is that d. Because the t calculated is less than the critical t, we fail to reject the null hypothesis. Therefore, Wilson Community Pool conclude that the pH value is equal to 7.2. Based on this sample, no corrective action is needed.
Read more about Hypothesis Conclusion at; https://brainly.com/question/15980493
#SPJ2
Use the 4 step process to find the f'(x) of the function f(x)=x^2-3/2
Answer:
see below
Step-by-step explanation:
Modified problem
(x)^2-3/x
Step 1: Find f(x+h)
(x+h)^2-3/(x+h)
x^2 +2hx + h^2 -3/(x+h)
Step 2: Find f(x + h) − f(x)
x^2 +2hx + h^2 -3/(x+h) - ( x^2-3/x)
Distribute the minus sign
x^2 +2hx + h^2 -3/(x+h) - x^2+3/x
Combine like terms and get a common denominator
2hx + h^2 -3x/(x(x+h)) +3(x+h)/(x(x+h)
2hx + h^2 +3h/(x(x+h))
Step 3: Find (f(x + h) − f(x))/h
(2hx + h^2+3h/(x(x+h)) )/h
2hx/h + h^2/h+3h/(x(x+h)) /h
2x +h +3/(x(x+h))
Step 4: Find lim h→0 (f(x + h) − f(x))/h
2x+0 +3/(x(x+0))
2x +3/x^2
Given the probability density function f(x) = 1/5 over the interval [4, 9], find the expected value, the
mean, the variance and the standard deviation.
Expected value:
Mean:
Variance:
Standard Deviation:
Answer:
Step-by-step explanation:
Assume that f(x) = 0 for x outside the interval [4,9]. We will use the following
[tex]E[X^k] = \int_{4}^{9}x^k f(x) dx[/tex]
[tex]Var(X) = E[X^2}- (E[X])^2[/tex]
Standard deviation = [tex] \sqrt[]{Var(X)}[/tex]
Mean = [tex]E[X][/tex]
Then,
[tex]E[X] = \int_{4}^{9}\frac{1}{5}dx = \frac{9^2-4^2}{2\cdot 5} = \frac{13}{2}[/tex]
[tex]E[X^2] = \int_{4}^{9}\frac{x^2}{5}dx = \frac{9^3-4^3}{3\cdot 5} = \frac{133}{3}[/tex]
Then, [tex]Var(x) = \frac{133}{3}-(\frac{13}{2})^2 = \frac{25}{12}[/tex]
Then the standard deviation is [tex]\frac{5}{2\sqrt[]{3}}[/tex]
Possibilities Density Functions are a set of data measures that can be used to anticipate that a discontinuous value will turn out as the following calculation:
Density function calculated value:Given function= [tex]\frac{1}{5}[/tex]
interval= [4,9]
Assuming that the given function that is [tex]fx) = 0[/tex] .
For this, the x outside the interval is [4,9].
Equation:
[tex]E[X^k] = \int^{9}_{4} x^k\ f(x) \ dx\\\\[/tex]
[tex]Var(X) = E(X)^2 - (E[X])^2[/tex]
The values are:
Standard deviation [tex]= \sqrt{Var(X)}[/tex]
Mean [tex]= E[X][/tex]
Solving the equation then:
[tex]E[X] =\int^{9}_{4} \frac{1}{5}\ dx[/tex]
[tex]= \frac{9^2-4^2}{2\cdot 5} \\\\ = \frac{81-16}{10} \\\\ = \frac{65}{10} \\\\=\frac{13}{2} \\\\[/tex]
[tex]E[X^2] =\int^{9}_{4} \frac{x^2}{5}\ dx[/tex]
[tex]= \frac{9^3-4^3}{3\cdot 5} \\\\= \frac{729-64}{15} \\\\ = \frac{665}{15}\\ \\=\frac{133}{3} \\\\[/tex]
[tex]\to Var(x) = \frac{133}{3} - (\frac{13}{2})^2 = \frac{25}{12}\\\\[/tex]
Therefore the standard deviation value is [tex]\frac{5}{2\sqrt{3}}[/tex]
Find out more about the probability here:
brainly.com/question/11234923
Find the value of x if A, B, and C are collinear points and B is between A and C. AB=12,BC=5x−2,AC=3x+20
Answer:
AB=BC
root AB=root BC
root(x2-x1
Help help help help hepl
Answer: -6
Step-by-step explanation:
If an exponent is raised to another exponent, then you can multiply them. Thus the equation can be simplified to [tex]\frac{x^{-150}}{x^{-144}}[/tex]. Then you can simply subtract x^-144 to get x^-6 which can become 1/x^6
Answer:
.....................
Step-by-step explanation:
Please answer this correctly
Answer:
1/9
Step-by-step explanation:
The answer is 1/9 because we already know the only even number on the spinner is 8. We have a 1/3 chance on landing on 8. Then it says we have to land on 7. There is also a 1/3 chance for landing on 7. So from this information, we do (1/3)*(1/3)=1/9
Identify the glide reflection rule in the given figure
Answer:
Option (3)
Step-by-step explanation:
Glide reflection of a figure is defined by the translation and reflection across a line.
To understand the glide rule in the figure attached we will take a point A.
Coordinates of the points A and A' are (2, -1) and (-2, 4).
Translation of pint A by 5 units upwards,
Rule to be followed,
A(x, y) → A"[x, (y + 5)]
A(2, -1) → A"(2, 4)
Followed by the reflection across y-axis,
Rule to be followed,
A"(x, y) → A'(-x, y)
A"(2, 4) → A'(-2, 4)
Therefore, by combining these rules in this glide reflections of point A we get the coordinates of the point point A'.
Option (3) will be the answer.
Answer:Reflection along the line y= -1
Step-by-step explanation:
took test
PLEASE HELP Kelly wants to join an aerobics class. The initial membership fee is $25.00, and each clas costs $10.00. She pays a total of $115.00 to register for a certain number of classes. Create an equation to find the number of classes Kelly registered for.
Answer:
$25.00 + $10x = $115.00
Step-by-step explanation:
We know that the initial charge of joining is $25. Each class costs $10 each. She spent a total of $115. What we don't know is how many classes she took. With this equation, we can easily find out how many classes she took.
PLEASE HELP ME!!! FIRST ANSWER GETS BRAINLIEST ANSWER!!!
Jamie wants to know the volume of his gold ring in cubic centimeters. He gets a rectangular glass with a base 3 cm by 2 cm and fills the glass 4 cm high with water. Jamie drops his gold ring in the glass and measures the new height of the water to be 4.25 cm. What is the volume of Jamie's ring in cubic centimeters?
Volume before the gold:
3 x 2 x 4 = 24 cubic cm.
Volume after gold:
3 x 2 x 4.25 = 25.5 cubic cm
Volume of gold is the difference:
25.5 - 24 = 1.5 cubic cm.
Suppose that a high school marching band has 97 members. Of these 97 band members, 31 are seniors, 18 play the trumpet, and 6 are seniors who play the trumpet.What is the probability that a randomly selected band member is a senior given that he or she plays the trumpet? Give your answer as a percentage, rounded to one decimal place.___%What is the probability that a randomly selected band member plays the trumpet given that he or she is a senior?___%
Answer:
Step-by-step explanation:
33.3%
19.4%
The mean amount spent by a family of four on food is $500 per month with a standard deviation of $75. Assuming that the food costs are normally distributed, what is the probability that a family spends less than $425 per month?
Answer:
[tex] z=\frac{x- \mu}{\sigma}[/tex]
And replacing we got:
[tex] z=\frac{425-500}{75}= -1[/tex]
And we can calculate this probabilit using the normal standard distribution or excel and we got:
[tex] P(z<-1)= 0.159[/tex]
Step-by-step explanation:
If we define the random variable of interest "the amount spent by a family of four of food per month" and we know the following parameter:
[tex] \mu = 500, \sigma = 75[/tex]
And we want to find the following probability:
[tex] P(X<425)[/tex]
And we can use the z score formula given by:
[tex] z=\frac{x- \mu}{\sigma}[/tex]
And replacing we got:
[tex] z=\frac{425-500}{75}= -1[/tex]
And we can calculate this probabilit using the normal standard distribution or excel and we got:
[tex] P(z<-1)= 0.159[/tex]
A new soft drink is being market tested. a sample of 400 individuals participated in the taste test and 80 indicated they like the taste.
A. At a 5% significant level, test to determine if at least 22% of the population will like the new soft drink.
B. Determine the p-value
Answer:
Step-by-step explanation:
p/100* 400=80
*100 *100
400p=8000
:400 :400
p=20
With 5% significant level I think we consider that 22% likes the drink
QUIZ
Active
2
3
4
6
9
10
TIME REMAINING
39:32
16 fr
What is the rate of change of the function shown on the
graph? Round to the nearest tenth.
14
12
(2. 12.5)
2.00
2.50
10
5.25
8
10.50
6
(1,5)
4+
(-1,0.8) 3+ (0,2)
-4 -3 -2
2
1
3
-1-2
4
-4
-6
Answer:
You need to include the graph
Step-by-step explanation:
You need to include the graph, you just pasted everything you copied.
Find the standard deviation, σ, for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth. n = 38; p = 2/5 Group of answer choices σ = 13.55 σ = 14.40 σ = 7.87 σ = 10.28
Answer:
[tex] X \sim Binom (n=38, p=2/5)[/tex]
By properties the mean is given by:
[tex]\mu = np =38 *\frac{2}{5}= 15.2[/tex]
And the standard deviation would be:
[tex] \sigma = \sqrt{np(1-p)}= \sqrt{38* \frac{2}{5}* (1-\frac{2}{5})}= 3.02[/tex]
Step-by-step explanation:
For this case we know that the random variable follows a binomial distribution given by:
[tex] X \sim Binom (n=38, p=2/5)[/tex]
By properties the mean is given by:
[tex]\mu = np =38 *\frac{2}{5}= 15.2[/tex]
And the standard deviation would be:
[tex] \sigma = \sqrt{np(1-p)}= \sqrt{38* \frac{2}{5}* (1-\frac{2}{5})}= 3.02[/tex]
cube of a natural number which is a multiple of 3 is also a multiple of 27 true or false
please give the answer fast
Answer:
True
Step-by-step explanation:
The multiple of 3 is the product of 3 with at least a number. Following the law of indices which states that
aⁿ * bⁿ = (ab)ⁿ
Then the cube of 3 and any number which results in a multiple of 3 gives a result that has 3 cube which is 27 as a factor.
Hence the answer is true
Which of the following is the graph of (x + 1)2 + (y − 6)2 = 36?
Answer:
Step-by-step explanation:
Slope:
− 1
y-intercept:
23
For questions 1-4 Find the missing triangle
Answer:
1. 51°
2. 40°
3. 65°
4. 60°
Step-by-step explanation:
The sum of the angles in a triangle is 180°. We can use the angles given to find the missing angle.
1. 51°
42+87+x=180
129+x=180
x=51
-------------------------------------------------------------------------------
2. 40°
110+30+x=180
140+x=180
x=40
-------------------------------------------------------------------------------
3. 65°
20+95+x=180
115+x=180
x=65
-------------------------------------------------------------------------------
4. 60°
60+60+x=180
120+x=180
x=60
A rectangle has length(4x+5) and breadth 3x.Find the area of the rectangle.
Answer:
Length = 4x+5
Breadth = 3x
Area = l × b
= (4x+5) × 3x
= 12 x² + 15 x
Anybody can help me out?
Answer:
answer D
Step-by-step explanation:
Hello
(fog)(x)=f(g(x))=|4x+9|
so g(x)=4x+9
and f(x)=|x|
hope this helps