Answers
Answer:
f(x) = 17/2 or 8.5
Step-by-step explanation:
f ( x ) = 10-9/2x
By substituting the values,
f (x) = 10 - 9/2(-1/3)
= 10-3/2 = 17/2= 8.5
Related Questions
A municipal bond service has three rating categories (A, B, and C). Suppose that in the past year, of the municipal bonds issued throughout the United States, 70% were rated A, 20% were rated B, and 10% were rated C. Of the municipal bonds rated A, 50% were issued by cities, 40% by suburbs, and 10% by rural areas. Of the municipal bonds issued B, 60% were issued by cities, 20% by suburbs, and 20% by rural areas. Of the municipal bonds rated C, 90% were issued by cities, 5% by suburbs, and 5% by rural areas. a. If a new municipal bond is to be issued by a city, what is the probability that it will receive an A rating? b. What proportion of municipal bonds are issued by cities? c. What proportion of municipal bonds are issued by suburbs?
Answers
Answer:
(a) The probability that the new municipal bond issued will receive an A rating given that it was issued by a city is 0.196.
(b) Thus, the probability of municipal bonds issued by suburbs is 0.325.
Step-by-step explanation:
The data provided is as follows:
P (A) = 0.70
P (B) = 0.20
P (C) = 0.10
P (c | A) = 0.50
P (s | A) = 0.40
P (r | A) = 0.10
P (c | B) = 0.60
P (s | B) = 0.20
P (r | B) = 0.20
P (c | C) = 0.90
P (s | C) = 0.05
P (r | C) = 0.05
(a)
The Bayes' theorem states that the conditional probability of an event Y[tex]_{i}[/tex] given that another event X has already occurred is:
[tex]P(Y|X)=\frac{P(X|Y)P(Y)}{\sum\limits_{i} {P(X|Y_{i})P(Y_{i})}}[/tex]
Compute the probability that the new municipal bond issued will receive an A rating given that it was issued by a city as follows:
[tex]P(A|c)=\frac{P(c|A)P(A)}{P(c|A)P(A)+P(c|B)P(B)+P(c|C)P(C)}[/tex]
[tex]=\frac{(0.50\times 0.70)}{(0.50\times 0.70)+(0.60\times 0.20)+(0.10\times 0.90)}\\\\=\frac{0.35}{0.56}\\\\=0.196[/tex]
Thus, the probability that the new municipal bond issued will receive an A rating given that it was issued by a city is 0.196.
(b)
The law of total probability states that:
[tex]P(X)=\sum\limits_{i} {P(X|Y_{i})}[/tex]
Compute the probability of municipal bonds issued by suburbs as follows:
[tex]P(s)=P(s|A)P(A)+P(s|B)P(B)+P(s|C)P(C)[/tex]
[tex]=(0.40\times 0.70)+(0.20\times 0.20)+(0.10\times 0.05)\\\\=0.28+0.04+0.005\\\\=0.325[/tex]
Thus, the probability of municipal bonds issued by suburbs is 0.325.
Buddie is filing his federal income tax return with the 1040EZ form using the Single filing status, and nobody can claim him as a dependent. If he had wages, salaries, and tips of $53,100, taxable interest of $230, and no unemployment compensation, what should he enter on line 6 of the Income section below?
A.
$0
B.
$43,980
C.
$34,630
D.
$53,330
Answers
Answer: $43,980
Step-by-step explanation:
APEX
Answer: B) $43,980
Step-by-step explanation:
Demon Slayer
Math help guys please
Answers
Answer:
- 4 / 9
Step-by-step explanation:
..........................
Find the values of x and y. The diagram is not to scale.
Answers
Answer:
51+x-5+y-6=180
x+y=180-51+5+6
X+y=140
Answer x=77 y=63
(those 2 lines with the arrows are perpendicular so their angles are the same 72° and (x-5)=77-5= 72°)
The values of x and y are 77 and 63 respectively.
What is Angle?Angle is defined as the figure formed by two lines or rays which has a common point of intersection where the angle is formed.
Sum of the interior angles of a triangle is supplementary.
That is three angles (y - 6)°, 72° and an unknown angle is supplementary.
We have two parallel lines given and a transversal line intersects the parallel lines.
So the unknown angle of the triangle and the angle 51° are alternate interior angles and are thus equal.
So the third angle of the triangle = 51°
(y - 6) + 72 + 51 = 180
y - 6 + 123 = 180
y + 117 = 180
y = 63
The angles (x - 5)°, 51° and (y - 6)° are supplementary.
(x - 5) + 51 + (y - 6) = 180
x - 5 + 51 + 63 - 6 = 180
x + 103 = 180
x = 77
Hence the value of x is 77 and the value of y is 63.
To learn more about Angles, click on the link given below :
https://brainly.com/question/28451077
#SPJ2
Last week, Leonardo's hamster drank 25 mL of water. This week he drank 15 mL of water. By what percent did the hamster’s intake of water decrease?
Answers
Answer:
40%
Step-by-step explanation:
It went down by 10 ml.
40% of 25 is 10, so te answer would be 40%
Answer:
60%
Step-by-step explanation:
Part/whole method:
[tex]\frac {15} {25} = \frac {p} {100}[/tex]
15·100=1,500
1,500÷25=60
15 is 60% of 25
Order the numbers from least to greatest.
2.1,−610,−94,−0.75, 53
Answers
Answer:
-610, -94, -0.75, 2.1, 53
A line segment has endpoints (4, 7) and (1, 11). What is the length of the segment?
Answers
[tex]length = \sqrt{ ({11 - 7})^{2} + {(1 - 4})^{2} } \\ [/tex]
[tex]length = \sqrt{ ({4})^{2} + ({ - 3})^{2} } \\ [/tex]
[tex]length = \sqrt{16 + 9} [/tex]
[tex]length = \sqrt{25} [/tex]
[tex]length = 5[/tex]
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
4) At lunch, you volunteer to go out to buy sandwiches. You get 6 chicken sandwiches and 6
ham sandwiches for $30. Later that afternoon, everyone gets hungry again. You go to the same
shop and buy 4 chicken sandwiches and 8 ham sandwiches for $30.60 What was the price of
each sandwich?
(assume tax is included in the totals)
Answers
Answer:
Cost chicken sandwich is $2.35
Cost of ham sandwich is $2.65
Step-by-step explanation:
Let the cost of chicken sandwiches = c
Let the cost of ham sandwiches = h
Number of chicken sandwiches = 6
Number of ham sandwiches = 6
So,
6c + 6h = 30 ------ (I)
Number of chicken sandwiches on second round = 4
Number of ham sandwiches on second round = 8
4c + 8h = 30.6 ------ (ii)
We have two sets of of equations, let us solve;
6c + 6h = 30 ------ (I)
4c + 8h = 30.6 ------ (ii)
From equation i, divide through by 6 to give;
c + h = 5
c = 5 - h
Input into equation ii;
4(5 - h) + 8h = 30.6
20 - 4h + 8h = 30.6
4h = 30.6 - 20
4h = 10.6
h = 2.65
Price of ham sandwich = $2.65
Now, for the chicken sandwich;
c = 5 - 2.65 = $2.35
Cost chicken sandwich is $2.35
Cost of ham sandwich is $2.65
Find the area of the triangle below ( example A )
Answers
what is the slope of the line that goes through (0 0) and (6 3)
Answers
Answer:
3/6
Step-by-step explanation:
y2-y1/x2-x1
What is the Reciprocal of 10/3
Answers
Answer: 3/10
Step-by-step explanation:
The reciprocal is the fraction/ number flipped
Noah is running a portion of a marathon at a constant speed of 6 miles per hour. Make a table to predict how long it would take him to run different distances at that speed, and how far he would run in different time intervals. Use decimal notation.
Answers
help im stuck pls -- Refer to the table above. Determine the percent of all voters that did not vote Republican or Democrat but voted "other" instead. Round your answer to the nearest tenth of a percent.
Answers
Answer:
9.9%
Step-by-step explanation:
Well, you would just divide the "other" category and the "total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:
[tex]\frac{222}{2222} =0.09999...\\[/tex]
Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:
9.9%, which could be rounded to 10% or 9%.
Determinar que tipo de número racional es 34/34
Answers
Answer:
1 (Integers and whole number)
Step-by-step explanation:
Given:
Rational number = 34 / 34
Computation:
34 / 34 = 1
Integers and whole number
An integer is descriptively measured by the number without even a fraction which can be written.
The ___________________ of a right triangle are the two sides that make up the right angle.
Answers
Answer:
a and b are the "legs" of the triangle, which are the two sides that make up the 90 degree angle. c is the "hypotenuse" of the triangle, and is the side of the triangle that is opposite the right angle (another way to say a 90º angle is "right angle"). The hypotenuse is also the longest side of the right triangle.
∠A and ∠ B ∠B are vertical angles. If m ∠ A = ( 5 x − 4 ) ∘ ∠A=(5x−4) ∘ and m ∠ B = ( 2 x − 1 ) ∘ ∠B=(2x−1) ∘ , then find the value of x.
Answers
Answer:
x=1
Step-by-step explanation:
vertical angles are equal
therefore a=b
5x-4=2x-1= 3x=3
x=1
identificación de la intención del mensaje o del texto leído
Answers
Answer:
La identificación de la intención del mensaje o del texto leído no es otra cosa que la interpretación del mismo. Es decir, a través de la lectura y la identificación de las diferentes variables comunicativas, el lector realiza un análisis del contenido del texto y lo interpreta, buscando dilucidar la intención que el redactor tuvo al momento de escribir el mensaje o texto en cuestión. La interpretación de textos es fundamental para poder comprender lo que se encuentra redactado, es decir, para poder lograr una total comprensión del texto.
Is -0.00992 a rational or irrational number?
Answers
Answer:
Yes, it is a rational number.
Step-by-step explanation:
You're Welcome :)
by how much is 7 more than 5
Answers
Answer:
2
Step-by-step explanation:
PLS HELP Read the first paragraph of the article, "Kelvin Doe-A Young Engineer."
Which detail is explicit from this paragraph?
Answers
Answer:
Kelvin Doe is from a small village in the Republic of Sierra Leone in West Africa. Your welcome :)
Answer: Kelvin Doe changed the lives of the people in his community by his innovative thinking.
Step-by-step explanation: i got it right
3.Write two polynomial functions whose quotient will be the same degree
as the divisor.
4.Write two polynomial functions whose quotient will have a degree of
zero.
Answers
Answer:0
Step-by-step explanation:
its right
63-(-4) subtracting integers
Answers
Answer:
67
Step-by-step explanation:
the negative 4 cancels out with subracting turning it into an addition problem
Hello.
We are subtracting a negative number.
When we subtract a negative number, it cancels itself out, and it becomes an addition problem.
63-(-4) becomes 63+4
63+4 = 67
67 is the final answer.
There are 39.37 inches in 1meter. Tell whether the statement is true or false
Answers
Answer:
False
Step-by-step explanation:
This is false because 1 meter has 36 inches.
Answer: True
Step-by-step explanation:
Meters Inches
1 m 39.37 in
2 m 78.74 in
3 m 118.11 in
4 m 157.48 in
1. 342 ÷ 135/7
2. 143 ÷ 188/7
PLZ HURRY
Answers
Answer:
1. 17.73 or 17 [tex]\frac{11}{15}[/tex] or [tex]\frac{266}{15}[/tex]
2. 5.32 or 5[tex]\frac{61}{188}[/tex] or [tex]\frac{1001}{188}[/tex]
Step-by-step explanation:
Each one is correct trust me ;)
A car travels 90 miles in 1.5 hours. How many miles will it travel in 5 hours if its speed remains the same?
Answers
Answer:
300 miles
Step-by-step explanation:
i am doing the same test right now
6b.) Hence, or otherwise, evaluate g(f(3))
Answers
Answer:
-25
Step-by-step explanation:
g(f(3))= g(-5)
=4(-5)-5
= -20-5
=-25
Answer:
[tex]g(f(3))=-25[/tex]
Step-by-step explanation:
We have the two functions: [tex]f(x)=-2x+1[/tex] and [tex]g(x)=4x-5[/tex].
And we want to evaluate [tex]g(f(3))[/tex].
So, let's evaluate f(3) first. Substitute 3 into f(x). This yields:
[tex]f(3)=-2(3)+1[/tex]
Multiply and add:
[tex]f(3)=-6+1=-5[/tex]
So, our expression is now:
[tex]g(f(3))\Rightarrow g(-5)[/tex]
Substitute -5 for g(x):
[tex]g(-5)=4(-5)-5[/tex]
Multiply and subtract:
[tex]g(-5)=-20-5=-25[/tex]
Therefore:
[tex]g(f(3))=-25[/tex]
Maya bought a dozen specialty donuts at the bakery for $18. She purchased a mixture of frosted donuts for $2 each, glazed donuts for $1 each, and custard filled donuts for $5 each. If Maya purchased twice as many frosted donuts as custard filled donuts, how many of each type of donut did she buy? Variables: mixture of frosted donuts X y = glazed donuts Z = custard filled donuts System: System in standard form:
Answers
Answer:
The quantity of frosted donuts = 2
The quantity of glazed donuts = 9
The quantity of custard filled donuts = 1
Step-by-step explanation:
Let the quantity of frosted donuts = [tex]x[/tex]
Let the quantity of glazed donuts = [tex]y[/tex]
Let the quantity of custard filled donuts = [tex]z[/tex]
As per question statements, following equations can be made:
[tex]x+y+z=12......(1)\\2x+y+5z=18.....(2)\\x=2z ...... (3)[/tex]
Putting [tex]x=2x[/tex] in (1) and (2):
[tex]y+3z=12 .... (4)\\y+9z=18 .... (5)[/tex]
Subtracting (4) from (5):
[tex]6z=6\\\Rightarrow z =\bold{1}[/tex]
By equation (3):
[tex]x=\bold{2}[/tex]
By equation (1):
[tex]y=\bold{9}[/tex]
Therefore, the answers are:
The quantity of frosted donuts = 2
The quantity of glazed donuts = 9
The quantity of custard filled donuts = 1
what is 5.625 in expanded form
Answers
Answer:
expanded notation form
5
+0.6
+0.02
+0.005
expanded factor form
5×1
+6×0.1
+2×0.01
+5×0.001
dont know which one you need, but there. hope this helps.
what is y + 1=x in slope intercept form?
Answers
Answer:
y = x - 1
Step-by-step explanation:
slope intercept form is y = mx+b. (mx - slope, b - y-intercept)
You just subtract 1 from both sides, giving you y = x - 1
What is the product of the GCF and LCM of 16 and 24?
Answers
Answer:
The greatest common factor of 16 and 24 is 8. The least common multiple is 48.
Step-by-step explanation:
Hope this helps!