Answers
Diagram D
Explanation:
1- let's get the base function:
We are given that:
f(6) = 9
f(7) = 10
f(8) = 11
f(9) = 12
From these givens, we can note that the function can be represented as follows:
f(x) = x + 3
2- let's get the inverse:
To get the inverse of a function, we will simply swap the x and y variable
This can be done as follows:
f(x) = x + 3
y = x + 3
Now, we swap:
x = y + 3
x - 3 = y + 3 - 3
y = x - 3
3- let's now get the values for the given x:
f(6) = 6 - 3 = 3
f(7) = 7 - 3 = 4
f(8) = 8 - 3 = 5
f(9) = 9 - 3 = 6
f(10) = 10 - 3 = 7
f(11) = 11 - 3 = 8
f(12) = 12 - 3 = 9
Comparing the calculated values with the given diagrams, we can note that the correct diagram is D
Hope this helps :)
Related Questions
If the typos are randomly distributed over the 10 pages, find the probability of having a single typo on each page
Answers
Lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. a bank conducts interviews of job applicants with the use of the lie detector. there are 15 applicants who are interviewed.
a.assuming all 15 applicants tell the truth, what is the probability that the lie detector will conclude that all 15 are telling the truth?
b.assuming all 15 applicants tell the truth, what is the probability that the lie detector will conclude that at least one is lying?
c.what are the mean and standard deviation of the 15 applicants the lie detector concludes are lying?
d.what is the probability that the number of truthful applicants classified as liars is greater than the mean?
Answers
Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.
The case that the lie detector correctly determined that a selected person is saying the truth has a probability of 0.85
Thus p = 0.85
Thus, the probability that the lie detector will conclude that all 15 are telling the truth if all 15 applicants tell the truth is given by:
[tex]P(X)={ ^nC_xp^xq^{n-x}} \\ \\ \Rightarrow P(15)={ ^{15}C_{15}(0.85)^{15}(0.15)^0} \\ \\ =1\times0.0874\times1=0.0874[/tex]
Part B:
Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.
The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.25
Thus p = 0.15
Thus, the probability that the lie detector will conclude that at least 1 is lying if all 15 applicants tell the truth is given by:
[tex]P(X)={ ^nC_xp^xq^{n-x}} \\ \\ \Rightarrow P(X\geq1)=1-P(0) \\ \\ =1-{ ^{15}C_0(0.15)^0(0.85)^{15}} \\ \\ =1-1\times1\times0.0874=1-0.0874 \\ \\ =0.9126[/tex]
Part C:
Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.
The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.15
Thus p = 0.15
The mean is given by:
[tex]\mu=npq \\ \\ =15\times0.15\times0.85 \\ \\ =1.9125[/tex]
Part D:
Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.
The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.15
Thus p = 0.15
The probability that the number of truthful applicants classified as liars is greater than the mean is given by:
[tex]P(X\ \textgreater \ \mu)=P(X\ \textgreater \ 1.9125) \\ \\ 1-[P(0)+P(1)][/tex]
[tex]P(1)={ ^{15}C_1(0.15)^1(0.85)^{14}} \\ \\ =15\times0.15\times0.1028=0.2312[/tex]
does anyone know the answer???
Answers
slope = (change in y)/(change in x)
slope = (14 -(-3))/(7 -(-10)) = 17/17 = 1
The slope of line CD is the negative reciprocal of that, -1/1 = -1.
The point-slope form of the equation for line CD can be written as
y = -1(x -5) +12
y = -x +17
The x-intercept is the value of x when y = 0.
0 = -x +17
x = 17
The x-intercept is ...
(17, 0)
Another way to write the equation for line CD is "standard form." For this, we add x to the slope-intercept form to get ...
x + y = 17
For the second part of your question, we can find the answer by adding the x- and y-coordinates to see which sum is 17.
-5 +24 = 19
-2 +19 = 17 . . . . . . . . . the point (-2, 19) is the correct choice
7 +(-10) = -3
8 +11 = 19
The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of (u-v)(x)?
Answers
So then domain of (u-v)(x) would be the set of all real values except 0 and 2.
Hope this helps.
Answer: x = 2 and x cannot be any value for which v(x) = 0
Step-by-step explanation:
Suppose that 12 inches of wire costs 60 cents. At the same rate, how much (in cents) will 27 inches of wire cost?
Answers
The 12 inches wire costs 60 cents, so the cost of 1 inch of wire is
Rate = 60/12 = 5 cents
So the cost of 1 inch of wire which is the rate is 5 cents.
Now we have to find the cost (in cents) of 27 inches wire.
We know the cost of 1 inch of wire is 5 cents so the cost of 27 inches of wire is
= Total inches of wire * Price of 1 inch of wire
= 27 * 5
= 135
The cost of 27 inches of wire is 135 cents
Ramone tossed 1 quarter, 2 dimes, and 13 pennies in the wishing well at the party. What is the total amount of money as a fraction and as a decimal?
Answers
1 quarter:
(1) * (0.25) = 0.25 $
2 dimes:
(2) * (0.1) = 0.2 $
13 pennies:
(13) * (0.01) = 0.13 $
Adding we have:
0.25 + 0.2 + 0.13 = 0.58 $
As a fraction:
58/10 = 29/5 $
Answer:
The total amount of money as a fraction and as a decimal are:
$ 29/5
$ 0.58
Rhombus A has base of 7 inches and an area of 35 square inches. Rhombus B has a Base and Height that are three times the base and height of Rhombus A. Find the area of Rhombus b and compare it to the area of rhombus A Explain
Answers
Rhombus B, which has dimensions three times larger than Rhombus A, has an area that is nine times larger than the area of Rhombus A.
Explanation:This question is based on geometry and compares the areas of two rhombuses. Firstly, remember that the area of a rhombus is obtained by the formula A = base x height. For Rhombus A, with a base of 7 inches and area 35 square inches, this implies that its height is 5 inches (since 7 x 5 = 35). Therefore, the height of Rhombus B which is three times larger than that of Rhombus A would be 15 inches, and its base would be 21 inches (three times that of Rhombus A).
Now applying these values into the formula for the area of a rhombus, for rhombus B we get A = 21 x 15, which equals 315 square inches - this is the area of Rhombus B. Comparing this with the area of Rhombus A (35 square inches), we find that Rhombus B is 9 times larger than Rhombus A (because 315 divided by 35 equals 9).
Learn more about Rhombus Area Comparison here:https://brainly.com/question/32851209
#SPJ12
By increasing the base and height of Rhombus A by three times, the resulting area of Rhombus B is nine times the area of Rhombus A. The area of Rhombus A is 35 square inches and the area of Rhombus B is 315 square inches.
Explanation:The subject of this question is area of rhombuses. A key concept to remember is that the area of a rhombus is calculated by the formula: Area = base x height.
Rhombus A has base of 7 inches and an area of 35 square inches. This means the height h of Rhombus A is A/base = [tex]35/7 = 5[/tex] inches.
The base and height of Rhombus B are three times the base and height of rhombus A. So, Rhombus B has a base of [tex]7 * 3 = 21[/tex] inches and height of [tex]5 * 3 = 15[/tex] inches.
To find the area of Rhombus B, you apply the same formula, Substituting the values we get, B = base x height = [tex]21 * 15 = 315[/tex] square inches. Therefore, the area of Rhombus B is nine times the area of Rhombus A since 315/35 = 9.
Learn more about Area of Rhombus here:https://brainly.com/question/32085683
#SPJ12
The graph represents the feasible region for the system: y<2x x + y 45 x > 30 Minimize the objective function P = 20x + 16y.
Answers
and occurs when x= 15
and y=30
what problem does the model show?
Answers
1/2 is the fraction represents the diagram.
What is Fraction?A fraction represents a part of a whole.
Fractions are of three types.
Proper fraction, improper fraction and mixed fraction.
A proper fraction is a fraction which has its numerator value less than the denominator.
An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
A fraction represented with its quotient and remainder is a mixed fraction
In the diagram there are 8 boxes in whole, the number of boxes shaded are 4 out of 8.
4/8 is the fraction represents the diagram, 1/2 is another way of representing 4/8.
Hence, 1/2 is the fraction represents the diagram.
To learn more on Fractions click:
https://brainly.com/question/10354322
#SPJ5
Frank wrote 1/2 of his book report before dinner. he wrote another 1/8 of the report after dinner. What fraction of the report did he finish?
Answers
Frank finished 5/8 of the report.
Explanation:To find the fraction of the book report that Frank finished, you need to add together the fractions of the report he wrote before and after dinner. Frank wrote 1/2 of the report before dinner and 1/8 of the report after dinner. To add these fractions, you need to find a common denominator. The least common multiple of 2 and 8 is 8, so you can rewrite 1/2 as 4/8. Adding 4/8 and 1/8 gives you a total of 5/8.
Therefore, Frank finished 5/8 of the report.
Which number has a repeating decimal form?
a) square root of 15
b)11/25
c)3/20
d)2/6
Answers
a) square root of 15
b)11/25
c)3/20
d)2/6
The correct answer is d)2/6
Since, once solved, the value would give, 0.33333333333333333333333333333333
In what form is the following linear equation written?
A. standard
B. Point Slope
C. Slope intercept
D. Rise Run
Answers
y - y1 = m(x-x1)
The slope is m, which in this case is m = 2/3
The point this line goes through is (x1,y1) = (1,3)
As the name "point slope form" suggests, this form quickly lets us know the slope and one point that is on the line.
the function of (x) varies directly with x^2, and f(x)=96 when x=4 what is the value of f(2)
Answers
[tex]\bf \textit{f(x) varies directly with }x^2\qquad f(x)=kx^2 \\\\\\ \textit{we also know that } \begin{cases} f(x)=96\\ x=4 \end{cases}\implies 96=k(4)^2\implies 96=16k \\\\\\ \cfrac{96}{16}=k\implies 6=k\qquad therefore\qquad \boxed{f(x)=6x^2} \\\\\\ \textit{now, when }\stackrel{f(2)}{x=2}\textit{ what is \underline{f(x)}?}\qquad f(2)=6(2)^2[/tex]
expand (x^2-3/2)^9 using binomial process
Answers
[tex] x^{18} - \frac{ 27x^{6} }{2}+ 81x^{14}- \frac{ 567x^{12} }{2}+ \frac{ 5103x^{10} }{16}- \frac{ 15309x^{8} }{16}+ \frac{ 15309x^{6} }{16} - \frac{ 59049x^{2} }{256}- [/tex][tex] \frac{19683}{512} [/tex]
Man that was a lot to type out, hopefully i helped, and Gosh I hope I get a brainly for all that freaking typing. hehe~ ^.^
help with this question?
Answers
The appropriate choice is ...
c. continuous at every real number except x = 1.
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 6.5?
Perimeter = 54 cm, area = 181.25 cm2
Perimeter = 54 cm, area = 2,028 cm2
Perimeter = 182 cm, area = 2,028 cm2
Perimeter = 182 cm, area = 181.25 cm2
Answers
2(6 cm + 8 cm) = 28 cm
The area of the given rectangle is
(6 cm)*(8 cm) = 48 cm^2
The larger rectangle will have a perimeter of
6.5*28 cm = 182 cm
The larger rectangle will have an area of
6.5^2*48 cm^2 = 2028 cm^2 . . . . . note the scale factor is squared for area
The appropriate choice is the 3rd one, ...
Perimeter = 182 cm, area = 2,028 cm^2
Answer:
Perimeter = 182 cm, area = 2,028 cm^2
Step-by-step explanation:
Jane has 312 feet of fencing to use to enclose a rectangular garden. She wants the garden to be 5 times as long as it is wide. What are the dimensions of the garden
Answers
there is one plane that leaves from the city to the ski resort every hour. the first plane leaves at 10 the last plane leaves at 4 how many planes fly to the resort each day
Answers
Factor completely. y2 - xy - 56x2
Answers
y2 - xy - 56x2
Rewriting we have the factored expression, which is given by:
(7x + y) (y-8x)
Checking we have:
7xy - 56x ^ 2 + y ^ 2 - 8xy
y ^ 2 - xy - 56x ^ 2 (OK)
Answer:
The factored expression is given by:
y2 - xy - 56x2 = (7x + y) (y-8x)
Answer:
(y - 8x) (y + 7x)
Step-by-step explanation:
This person's videos helped me out so much with questions like these.
Brian McLogan -
1) Factoring an expression with a greater than one and two square variables 8x^2 -6xy -9y^2
2) Learn How to Factor a Trinomial in Your Head When a is not Equal to One
I'm not paid to do this, I genuinely recommend you watch these two videos, because it helped me tremendously when I once did a question like this.
Have a blessed day!
The scores of individual students on the american college testing (act) program composite college entrance examination have a normal distribution with a mean of 18.6 and a standard deviation of 6.0. at northside high, 36 seniors take the test. assume the scores at this school have the same distribution as national scores. what is the mean of the sampling distribution of the sample mean score for a random sample of 36 students?
Answers
Stocks are units of ownership in a company. The stock market is a place where stocks are bought and sold. When you buy a stock, you own a part of the company. If the company’s profits go up, the stock value goes up. If the profits fall, so does the value of the stock. Stock prices rise and fall every day. Last week, Isabelle bought stock in a toy company. Since then, the price of the stock had a change of -3 dollars. What is the absolute value of -3?
Answers
Think of it like this. Whenever the absolute value is there, the number or expression inside, whether negative or positive takes a shower. When they are done showering, they are clean. The clean equals positive, all numbers after absolute value are positive so the answer is three.
Answer:
The absolute value is three!
Step-by-step explanation:
have a nice day/night!
Matt has $550 in his savings account. He is eager to know how much interest the bank will pay him for the whole year. He knows that the bank pays a 3 percent interest rate. He sits down with a pen, paper, and calculator to find out the simple interest
Answers
We suppose the question is, "what is the amount of interest Matt will be paid?"
The formula that applies is
I = Prt
I = $550*0.03*1 = $16.50
Matt will be paid $16.50 in interest for the year.
Suppose x is a normal random variable with μ = 35 and σ = 10. find p(55.5 < x < 69.7).
Answers
Answer:
[tex]\boxed{\boxed{P(55.5 < X< 69.7)=0.01992}}[/tex]
Step-by-step explanation:
We know that,
[tex]Z=\dfrac{X-\mu}{\sigma}[/tex]
where,
Z = z-score,
X = raw score,
μ = mean,
σ = standard deviation.
So,
[tex]=P(55.5 < X< 69.7)[/tex]
[tex]=P(55.5-35 < X-35< 69.7-35)[/tex]
[tex]=P(\dfrac{55.5-35}{10}< \dfrac{X-35}{10}< \dfrac{69.7-35}{10})[/tex]
[tex]=P(\dfrac{55.5-35}{10}< Z< \dfrac{69.7-35}{10})[/tex]
[tex]=P(2.05< Z<3.47)[/tex]
[tex]=P(Z<3.47)-P(Z<2.05)[/tex]
[tex]=0.99974-0.97982\\\\=0.01992[/tex]
How many terms are there in a geometric series if the first terms is 2, the common ratio is 4, and the sum of the series is 2,730 ?
Answers
[tex]S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}[/tex]
Substituting the given numbers, you have
[tex]2730=2\dfrac{4^{n}-1}{4-1}\\\\2730\dfrac{3}{2}=4^{n}-1\\\\4096=4^{n}\\\\\dfrac{\log(4096)}{\log(4)}=n=6[/tex]
There are 6 terms in the series.
Start over a triangle prism has a height of 9 in the Triangle base has a base of 3 in in the heights of 8 in find the volume of the prism
Answers
V = B x H1 x H2
where;
B = is the area of the base of the triangle
H1 and H2= are the height of the triangle and the height of the triangular prism.
now, to find the area of the base simply use the formula
A = 1/2 B x H
where B is the value of the base and H is the value of the height of the triangle.
given the formula we can derive another formula to get the volume of the triangular prism.
V = 1/2 B x H1 x H2
given the formula, you can now substitute the values
.
V = 1/2 (3 in. x 8 in. x 9 in.)
V = 1/2 (216 in.^3)
V = (216 in.^3)/2
V = 108 in.^3 this is the final answer
19 hundred thousandths in scientific
notation
Answers
The scientific notation of 19 hundred thousandths which is 0.000019 is 1.9 x 10^-5.
Explanation:The number 19 hundred thousandths would mean 19 divided by 1,000,000 which equals 0.000019. When we convert this decimal to scientific notation, it becomes 1.9 x 10^-5. In scientific notation, we want to express a number as a value between 1 and 10 multiplied by a power of 10. So, to convert 0.000019 to scientific notation, we need to move the decimal point five places to the right, which gives us 1.9. The '10^-5' shows that the decimal point has moved five places to the right from the original number.
https://brainly.com/question/16936662
#SPJ11
Solve, if 1.32 : 3 1/7 = (14y) : 5/6
Answers
1.32 : 3 1/7 = (14*y) : 5/6
we know that
3 1/7------> (3*7+1)/7------> 22/7
substitute
1.32 : 22/7 = (14*y) : 5/6
1.32*(5/6)=14*y*(22/7)
1.1=44*y
y=1.1/44--------> y=0.025
the answer is
y=0.025
The continuous function f is defined on the interval -4 ≤ x ≤ 3. there is no point c, -4 ≤ c ≤ 3, for which
Answers
Of the 5th grade boys, 2/3 play sports. Of the boys who play sports, 1/4 play baseball. what fraction of the 5th grade boys play baseball?
Answers
2/3 * 1/4
2/12
Simplify:
1/6 of the 5th grade boys play baseball
400,000 + 80,000 + 4,000 + 50 + 9 Write the standard form of the number shown above.
Answers
400,000
80,000
4,000
59
--------------
484,059 (answer)
Short answer: 484,059
Why?
This equation shown is an expanded form of a number. 400k is the largest number, so that'd go first. 80k is the second largest, so that would go next to the largest number, 4. (400k) 4k is the third largest, so that'd go next to the first and second largest numbers, 48. (480k) Now, we have 484,000. Since there is no hundred, we put a zero there. Now, add a 59 at the end of the zero. Which gives us the number 484,059.
Hope this helped you! ♥