f(x) = 3/x+2 - √x - 3
We can put any value of x so, let x be 3f(3) = 3/3 + 2 - √3 - 3
f(3) = 3/3 + 2 - √0
f(3) = 3/5 - 0
f(3) = 3/5
You can let x be any value of your choice.
Find the following list of data calculate a demean be the maid in and see the mouth or mothers of the numbers from
the picture
Given:
A fair die is rolled.
It pays off $10 for 6, $7 for a 5, $4 for a 4 and no payoff otherwise.
To find:
The expected winning for this game.
Solution:
If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.
The probability of getting a 6 is:
[tex]P(6)=\dfrac{1}{6}[/tex]
The probability of getting a 5 is:
[tex]P(5)=\dfrac{1}{6}[/tex]
The probability of getting a 4 is:
[tex]P(4)=\dfrac{1}{6}[/tex]
The probability of getting other numbers (1,2,3) is:
[tex]P(\text{Otherwise})=\dfrac{3}{6}[/tex]
[tex]P(\text{Otherwise})=\dfrac{1}{2}[/tex]
Now, find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.
[tex]E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})[/tex]
[tex]E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}[/tex]
[tex]E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0[/tex]
On further simplification, we get
[tex]E(x)=\dfrac{10+7+4}{6}[/tex]
[tex]E(x)=\dfrac{21}{6}[/tex]
[tex]E(x)=3.5[/tex]
Hence, the expected winnings for this game are $3.50.
what is the product of -8 1/3 and 3 2/5
Answer:
-28 1/3
Step-by-step explanation:
-8 1/3= -25/3
3 2/5= 17/5
-25/3*17/5= -28 1/3
Can y’all help me on question 3?!
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Answer:
60 gallons
Step-by-step explanation:
The area of the trapezoid-shaped wall is given by ...
A = 1/2(b1 +b2)h
where b1 and b2 are the lengths of the parallel sides, and h is the perpendicular distance between them.
The area of the wall is ...
A = (1/2)(5 ft + 15 ft)(6 ft) = 60 ft²
If it takes 1 gallon to cover 1 square foot, then it will take 60 gallons to cover 60 square feet.
Isha needs 60 gallons of paint.
Answer:
Isha needs 60 gallons of paints to the wall.
Step-by-step explanation:
The area of trapezoid shaped like wall is given by :-
Area of trapezoid = 1/2 × ( Base ¹ + Base ² ) × H
Where,
B ¹ and B ² are the length of bases and H is the perpendicular distance between them.
Area of wall = 1/2 × ( Base¹ + Base²) × Height
Where, according to question we have
Base ¹ = 5 t Base ² = 15 ftAnd , Height = 6 ftsubstitute the values
Area = 1/2 × ( 5 ft + 15 ft ) × 6 ft
add the values of Base¹ and Base ²
Area = 1/2 × 20 ft × 6 ft
multiply
Area = 1 / 2 × 120 ft ²
divide
Area = 120 ft ² / 2 = 60 ft ²
It takes 1 gallon to cover 1 ft ². ... ( given)
So, For covering 60 ft ² it takes 60 gallons .
check
( 1 × 60 ) gallon = 60 ft ²
60 gallon = 60 ft²
Find the volume of the prism.
With composte solids, all you have to do is find the volume of each and then add them together
Answer:
1760 cm³
Step-by-step explanation:
Volume For top "trapezoidal" prism : (14 * 4)/2 * 20 = 28 * 20 = 560
Volume for bottom rectangular prism = 6 x 10 x 20 = 60 x 20 = 1200
1200 + 560 = 1760 cm³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
3. In circle OJ, shown below, LK and MN are chords,
intersecting at point O. If LO=3, OK= 3, and MO =
1, what is ON?
M
K
(1) 1
(2) 3
(3) 6
(4) 9
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Answer:
(4) 9
Step-by-step explanation:
The product of the segment lengths of each chord is the same.
LO×OK = MO×ON
ON = LO×OK/MO = 3×3/1
ON = 9
State one practical use of variation related to health statistics.
Briefly discuss its implications.
Step-by-step explanation:
Measurement errorRandom error1. After you retire in 17 years your goal is to have $100,000 in your investment account that earns 8% compounded annually. How much money would you need to deposit now to reach this goal
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Answer:
$27,026.90
Step-by-step explanation:
The future value formula can be solved to find the present value required.
FV = P(1 +r)^t . . . future value of P compounded at annual rate r for t years
$100,000 = P(1 +0.08)^17
P = $100,000/3.70002 . . . . divide by the coefficient of P
P = $27,026.90
You would need to deposit #27,026.90 now to reach this goal.
A kitchen floor can somebody plzzzz helpppp
Answer: 876
Step-by-step explanation:so all you need to do is go into
The manager of a furniture factory finds that it costs $3000 to manufacture 80 chairs in one day and $4800 to produce 280 chairs in one day. (a) Express the cost C (in dollars) as a function of the number of chairs x produced, assuming that it is linear. C
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Answer:
C = 9x +2280
Step-by-step explanation:
The 2-point form of the equation for a line can be a place to start.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
C = (4800 -3000)/(280 -80)(x -80) +3000 . . . . . use given values
C = 1800/200(x -80) +3000 . . . . simplify some
C = 9x -720 +3000 . . . . eliminate parentheses
C = 9x +2280
Find the final total value of a 5-year investment of $2600 at a simple annual rate of
3.53%
Answer:
A = $3,101.09
A = P + I where
P (principal) = $2,600.00
I (interest) = $501.09
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 3.53/100
r = 0.0353 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 2,600.00(1 + 0.0353/12)(12)(5)
A = 2,600.00(1 + 0.002941667)(60)
A = $3,101.09
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $2,600.00 at a rate of 3.53% per year compounded 12 times per year over 5 years is $3,101.09.
In a normal distribution, 95% of the data fall within how many standard deviations of the mean? O A. Three standard deviations B. It cannot be determined from the given information. O C. Two standard deviations O D. One standard deviation SUBM
Answer:
Two standard deviations
Step-by-step explanation:
The Z score is obtained using the mean and standard deviation, according to the empirical. Rule, which gives percentage of values that lie within an interval estimate in a normal distribution ;
one standard deviation lie within 68% of the mean
Two standard deviations lie within 95%
Three standard deviations lie within 99.7%
Hence, for the question given, 95% fall within 2 standard deviations of the mean
What complex number is represented by the expression 7i5 + 9i8?
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Answer:
9 +7i
Step-by-step explanation:
i^2 = -1, so i^8 = (-1)^4 = 1, and i^5 = (-1)^2×i = i
Then ...
7i^5 +9i^8 = 7i +9 = 9 +7i
Evaluate the function.
f(x) = -x2 - 4x - 19
Find f(-9)
Help plsss
Given the quadratic function below:
[tex] \large{f(x)= - {x}^{2} - 4x - 19}[/tex]
To find f(-9), simply substitute x = -9 in the function.
[tex] \large{f( - 9) = - {( - 9)}^{2} - 4( - 9) - 19} \\ \large{f( - 9) = - 81 + 36 - 19} \\ \large{f( - 9) = - 100 + 36 \longrightarrow \large \boxed { \purple{f( - 9) = - 64}}}[/tex]
Answer
f(-9) = -64Let me know if you have any doubts regarding the function.
3 liters split into 10 people equally?
Answer:
3.3333333333333333333333333333333
Step-by-step explanation:
10 divide it by 3 and get your answer on what amount and fraction of liter each person will get.
Note:
Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.
-kiniwih426
When creating a histogram, the first recorded scale is 1 to 10. What should the second scale indicate?
A. 11-20
B. 10-20
C. 11-19
D. 10-19
please help asap
Answer: (B)10-20
Step-by-step explanation:
The functions f(x) and g(x) are defined below. (in the image attached)
Which expression is equal to f(x) + g(x)?
[tex] \frac{2x - 20}{ {x}^{2} + 6x - 40 } [/tex]
This is the right answer.
Refer to the attachment for the complete work.
Choose the definition for the function. please help me
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Answer:
A
Step-by-step explanation:
It is usually sufficient to look at one section of the graph to answer a question like this. Often the best choice is the section that has a solid dot at the end of the curve. Here, that is the right section.
The left end of the right section is at x=-2, so that part of the function is defined for x ≥ -2. The line to the right has a positive slope, so the coefficient of x will be positive.
Only one answer choice has a positive x-coefficient for x ≥ -2.
[tex]\textbf{A. }\begin{cases}-x-2&\text{if }x<-2\\x+4&\text{if }x\ge-2\end{cases}[/tex]
Answer:
Step-by-step explanation:
This graph is made up of two different, separate line segments. In other words, it comes in two pieces which can be described as a pair of linear functions.
We call this a "piecewise linear" function. Choice A is the best one.
Find the size of angle x.
Answer:
x = 111
Step-by-step explanation:
180- 82 -29 is 69 and 180-69 is x which x is equal to 111
Answer:
111°
Step-by-step explanation:
By exterior angle theorem:
[tex]x = 82 \degree + 29 \degree \\ = 111 \degree[/tex]
Solve the following percent puzzle, entering each square of the completed puzzle in the corresponding box below.
[asy] void shademe(pair A) { fill(A--(A+(1,0))--(A+(1,1))--(A+(0,1))--cycle,gray(0.8)); } size(90); shademe((0,1)); shademe((1,0)); for(int i=0;i<=2;i+=1){ draw((i,0)--(i,2)); draw((0,i)--(2,i)); } label("$60\%$",(0,1.5),W); label("$25\%$", (0,0.5), W); label("$33\frac{1}{3}\%$", (0.5,2),N); label("$50\%$", (1.5,2),N); [/asy]
Answer:
3 2
6 2
Step-by-step explanation:
a/(a + b) = 0.6
b/(a + b) = 0.25
c/(c + d) = 0.3333 = 1/3
d/(a + d) = 0.5
Answer:
3 2
6 2
Step-by-step explanation:
Find the perimeter of the figure.
1 in
1 in
5 in
3 in
3 in
PLEASE HURRY ITS URGENT
Answer: My teacher told me to use 180 and divide something.
Step-by-step explanation:
Answer:
isnt itjust 15?
Step-by-step explanation:
1 +1+1+1 = 4 5+3+3 = 11 then 11+4 = 15 if this is incorrect im sorry
Hannah leans a 16-foot ladder against a wall so that it forms an angle of 61° with the
ground. What's the horizontal distance between the base of the ladder and the wall?
Round your answer to the nearest tenth of a foot if necessary.
Answer:
7.8 feet
Step-by-step explanation:
We can determine the Horizontal distance using trigonometry ;
Using the relation :
Cosθ = adjacent / hypotenus
Cos 61 = x / 16
x = cos 61 * 16
x = 0.4848096 * 16
x = 7.756
x = 7. 8 feet
The difference between 8 and a number is 5.
Answer:
the answer is 3.
Step-by-step explanation:
Difference between means to subtract.
8 - 5 = 3
Answer:
8- a = 5
Step-by-step explanation:
work out the angle x please help.
Answer:
x is 13°.take the triangle to find the measure of x.180° -(85°+82°)=x
180°-167°=13°
For the given triangle the measure of the angle x is = 3 degrees.
Labeling the given figure,
since angle C and angle B are alternate angles
Therefore,
For the triangle ABE
The interior angle for A = x
The interior angle for B = 180 -98
= 92 degree
Since we know that,
The sum of the two interior angles of a triangle is equal to the exterior angle of the opposite side.
Therefore,
⇒ x + 92 = 180 - 85
⇒ x = 3 degrees.
Hence,
The measure of the angle x is = 3 degrees.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
Two photographers offer different pricing plans for their services. The graph below models the prices Photographer A charges. The table below shows the prices Photographer B charges. Each photographer charges a one-time equipment fee and an hourly rate. a. Which photographer charges the greater hourly rate? By how much? b. Which photographer charges the greater one-time fee? By how much?
Answer:
a. Photographer A by $10
b. Photographer B by $25
Which of the following will most likely produce sample proportions that are
normally distributed?
A. Many samples of 34 coin flips
B. Many samples of 14 coin flips
C. Many samples of 19 coin flips
D. Many samples of 9 coin flips
The parent function f(x) 3 to the square root of x is transformed to g(x)=2f(x-3). Which is the graph of g(x)?
Answer:
the answer is B
Step-by-step explanation:
Rosa and Micah are playing a game . Which table is the closest to showing Rosa winning approximately plays ? 3/5 of the times she
Answer:
A is the closest
If the function y=xa-31 is a linear function, what is the value of a
Answer:
Answer is A
Step-by-step explanation:
A bag contains 2 white balls, 3 red balls and a black ball. if a ball is selected at random, what is the probability that it is (a). not white
(b). red
(c). black
Answer:
a) 2/3
b) 1/2
c) 1/6
Step-by-step explanation:
2 white balls + 3 red balls + 1 black ball = 6 balls all together so then you do the number of balls over 6
Answer:
P( not white ) =2/3
P ( red)= 1/2
P( black) = 1/6
Step-by-step explanation:
2 white balls, 3 red balls and a black ball. = 6 balls
P( not white ) = number of balls not white / total = 4/6 =2/3
P ( red) = number of balls that are red/ total = 3/6 = 1/2
P( black) = number of balls that are black/ total = 1/6
Divide x3 + 5x2 + 5x – 3 by x + 3
Answer:
[tex]x^{2} + 2x - 1[/tex]
Step-by-step explanation:
We are solving for :
[tex]\frac{x^{3}+ 5x^{2} + 5x - 3 }{x + 3}[/tex]
Factor [tex]x^{3} + 5x^{2} + 5x - 3 : (x + 3)(x^{2} + 2x - 1)[/tex]
[tex]\frac{(x + 3)(x^{2} + 2x - 1)}{x + 3}[/tex]
= [tex]x^{2} + 2x - 1[/tex]
