If f(x)=x^5+5x^3+4, what is the remainder when f(x) is divided by x-2?
By the polynomial remainder theorem, the remainder is
f (2) = 2⁵ + 5×2³ + 4 = 32 + 40 + 4 = 76
(The theorem says a polynomial p(x) has remainder p(c) upon dividing it by x - c.)
Nora measured a community college and made a scale drawing. She used the scale 3 millimeters : 2 meters. If a building at the college is 96 millimeters wide in the drawing, how wide is the actual building?
Answer:64 Meters
Step-by-step explanation:
please help me fast thankss
Answer:
it's a bit blurry but if I aint wrong it's the 2nd one that say 2/5
Answer:
2.5 kilograms of chocolate
Step-by-step explanation:
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
4 x’s for 1/4
2 x’s for 2/4
1 x for 3/4
2 x’s for 1
Step-by-step explanation:
A fast-food restaurant operates both a drive through facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions of the time that the drive-through and walk-in facilities are in use, and suppose that the joint density function of these random variables is,
f (x, y) ={2/3(x+2y) 0 ≤ x ≤ 1 , 0 ≤ y ≤ 1
(a) Find the marginal density of X.
(b) Find the marginal density of Y .
(c) Find the probability that the drive-through facility is busy less than one-half of the time.
Answer:
[tex](a)\ g(x) = \frac{2}{3}(x+1)[/tex]
[tex](b)\ h(y) = \frac{1}{3}[1 + 4y][/tex]
[tex](c)[/tex] [tex]P(x>0.5) =\frac{5}{12}[/tex]
Step-by-step explanation:
Given
[tex]f(x,y) = \left \{ {{\frac{2}{3}(x+2y)\ \ 0\le x \le 1,\ 0\le y\le 1} \right.[/tex]
Solving (a): The marginal density of X
This is calculated as:
[tex]g(x) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dy[/tex]
[tex]g(x) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dy[/tex]
[tex]g(x) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dy[/tex]
Integrate
[tex]g(x) = \frac{2}{3}(xy+y^2)|\limits^{1}_{0}[/tex]
Substitute 1 and 0 for y
[tex]g(x) = \frac{2}{3}[(x*1+1^2) - (x*0 + 0^2)}[/tex]
[tex]g(x) = \frac{2}{3}[(x+1)}[/tex]
Solving (b): The marginal density of Y
This is calculated as:
[tex]h(y) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dx[/tex]
[tex]h(y) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dx[/tex]
[tex]h(y) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dx[/tex]
Integrate
[tex]h(y) = \frac{2}{3}(\frac{x^2}{2} + 2xy)|\limits^{1}_{0}[/tex]
Substitute 1 and 0 for x
[tex]h(y) = \frac{2}{3}[(\frac{1^2}{2} + 2y*1) - (\frac{0^2}{2} + 2y*0) ][/tex]
[tex]h(y) = \frac{2}{3}[(\frac{1}{2} + 2y)][/tex]
[tex]h(y) = \frac{1}{3}[1 + 4y][/tex]
Solving (c): The probability that the drive-through facility is busy less than one-half of the time.
This is represented as:
[tex]P(x>0.5)[/tex]
The solution is as follows:
[tex]P(x>0.5) = P(0\le x\le 0.5,0\le y\le 1)[/tex]
Represent as an integral
[tex]P(x>0.5) =\int\limits^1_0 \int\limits^{0.5}_0 {\frac{2}{3}(x + 2y)} \, dx dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 \int\limits^{0.5}_0 {(x + 2y)} \, dx dy[/tex]
Integrate w.r.t. x
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (\frac{x^2}{2} + 2xy) |^{0.5}_0\, dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 [(\frac{0.5^2}{2} + 2*0.5y) -(\frac{0^2}{2} + 2*0y)], dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (0.125 + y), dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}(0.125y + \frac{y^2}{2})|^{1}_{0}[/tex]
[tex]P(x>0.5) =\frac{2}{3}[(0.125*1 + \frac{1^2}{2}) - (0.125*0 + \frac{0^2}{2})][/tex]
[tex]P(x>0.5) =\frac{2}{3}[(0.125 + \frac{1}{2})][/tex]
[tex]P(x>0.5) =\frac{2}{3}[(0.125 + 0.5][/tex]
[tex]P(x>0.5) =\frac{2}{3} * 0.625[/tex]
[tex]P(x>0.5) =\frac{2 * 0.625}{3}[/tex]
[tex]P(x>0.5) =\frac{1.25}{3}[/tex]
Express as a fraction, properly
[tex]P(x>0.5) =\frac{1.25*4}{3*4}[/tex]
[tex]P(x>0.5) =\frac{5}{12}[/tex]
10×2+5÷2
its so easy
Answer:
10×2+ 5÷2
=20+2.5
=22.5
For BRAINLIST !!
Which table contains only values that
satisfy the equation y = 6x +2?
Answer:
C
Step-by-step explanation:
what was a similarty between the united states troops sent to the spanish- american war and troops sent to fight in world war 1
Answer:
c
Step-by-step explanation:
need help asap
—————-
Answer:
I believe it's 15,000//B
The following is a parallelogram. What is the measure of angle N?
Answer:120 Degrees
Step-by-step explanation:
Angle M and N add up to 180 degrees so,
180= 11x-40 (Since 3x+8x would be 11x)
220=11x (Add 40 to both sides)
X=20 (divided 220 by 11)
Pls help quick i beg please,Complete the explanation blank and blank 1 whole stirp could represent 1 blank and the 1/3 strip could represent blank. please help like please cause if you do it i make you The Brainliest
Answer:
Feet and yards; the 1 whole strip could represent 1 yd. and the [tex]\frac{1}{3}[/tex] strip could represent feet.
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $23.7 for a random sample of 4825 people. Assume the population standard deviation is known to be $11.2. Construct the 90% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place.
The following quadrilateral is a parallelogram. Solve for x, y, and z.
Answer:
x= 29°
y= 73°
z= 102°
Step-by-step explanation:
x is on the opposite side of the 29° which means it is equal to 29°
In order to find y we can add 29°+78° and subtract it from 180° since all triangles add up to 180°.
This makes y = 73°
In order to find z, we can subtract 78 from 180 since all straight lines are 180 degrees.
This makes z = 102°
*PLEASE HELP WITH SLOVING THESE QUESTIONS IT IS DUE SOON WORTH 100 POINTS*
1. If x = -4: Then what is the answer to 8x + 4x?
2. If x = 3: Then what is 9x - 18?
3.If x = 8: Then what is -2x + 10?
4. If x = -3: Then what is 5x + 11?
Answer:
1 = -48
2 = 9
3 = -6
4 = - 4
Step-by-step explanation:
Hello there!
For each problem we are going to want to plug in the value of x (which is given) and find the total value of the expression
For #1
8(-4) + 4(-4)
8 * - 4 = -32
4*-4=-16
-32+(-16)=-48
So the answer to #1 is -48
For #2
9(3)-18
9*3=27
27-18=9
so the answer to #2 is 9
For #3
-2(8)+10
-2*8=-16
-16+10=-6
so the answer to #3 is -6
For #4
5(-3)+11
5*-3=-15
-15+11=-4
So the answer to #4 is -4
An equivalent equation has been written by multiplying the second equation by 2.
4x – 9y = 7 → 4x – 9y = 7
2(–2x + 3y = 4) → –4x + 6y = 8
What is the solution to the system?
a: (-19/2, -5)
b: (-5, -19/2)
c: (-15/2, -11/3)
d: -19/10, 1/15)
Answer:
(-19/2, -5)
Step-by-step explanation:
Given the two equivalent equations
4x – 9y = 7 .... 1
–4x + 6y = 8 ....2
Adding both equations
-9y + 6y = 7+8
-3y = 15
y = -15/3
y = -5
Substitute y = -5 into 1
From 1; 4x - 9y = 7
4x - 9(-5) = 7
4x + 45 = 7
4x = 7 - 45
4x = -38
x = -38/4
x = -19/2
Hence the solution is (-19/2, -5)
1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a thorough medical screening before they are allowed to race again. A certain performer has an independent .04 probability of a crash in each race. a) What is the probability she will have her first crash within the first 30 races she runs this season
Answer:
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Step-by-step explanation:
For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A certain performer has an independent .04 probability of a crash in each race.
This means that [tex]p = 0.04[/tex]
a) What is the probability she will have her first crash within the first 30 races she runs this season
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
When [tex]n = 30[/tex]
We have that:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061[/tex]
0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season
Which color check marks correctly match up the scenarios with their unit rates? *
Green
Red
Blue
Corey spent 18 minutes coloring. She spent 6 times as many minutes reading
Answer:
18 x 6 =108. she spent 108 minutes reading.
Step-by-step explanation:
Brainliest for both correct answers
Answer:
Question 1: A
Question 2: D
Step-by-step explanation:
I hope it helps
You pick a card at random.
7 8 9
What is P(not 7)?
Write your answer as a fraction or whole number.
please help me i’ll give brainliest
Answer:
105 degrees
Step-by-step explanation:
You need to understand the properties of corresponding angles and supplementary angles.
Samiya had 45 grams of cookies to share with the class how many kilograms of cookies does she have
Answer:
0.045 kg of cookies
Answer: 0.045
Step-by-step explanation:
Mrs. Nesbitt had 97 books in her classroom library she received a grant to expand her classroom library After spending the money she had 213 books what is the percent increase?
Answer:
219 percent
Step-by-step explanation:
97 goes into 213 two times which is a 200 percent increase which leaves 18 books. 18.5 percent of 97 is about 18 so rounded up it is a 219 percent increase
AB and BC form a right angle at point B. If A=(-3,-1) and B=(4,4), what is the equation of BC
A. X+3y=16
B. 2x+y=12
C. -7x-5y=-48
D. 7x-5=48
Answer: D. -7x-5y=-48
Step-by-step explanation:
The slope of AB is [tex]\frac{-1-4}{-3-4}=\frac{5}{7}[/tex]. Since perpendicular lines have slopes that are negative reciprocals, the slope of BC is -7/5.
Substituting into point-slope form,
[tex]y-4=-\frac{7}{5}(x-4)\\\\5y-20=-7(x-4)\\\\5y-20=-7x+28\\\\\boxed{-7x-5y=-48}[/tex]
Which of the following letters is NOT line symmetric?
1. A
2. E
3. G
4. Y
Answer:
G
Step-by-step explanation:
Answer:
its G
Step-by-step explanation:
What is the mean absolute deviation?
2 4 6 9
Answer:
The mean absolute deviation is 2.25. Hope this helps
Step-by-step explanation:
2+4+6+9 divided by 4=5.25
5.25-2=3.25
5.25-4=1.25
6-5.25=0.75
9-5.25=3.75
3.25+1.25+0.75+3.75=9 divided by 4=2.25
7m=56. explanation please
Answer:
m=8
Step-by-step explanation:
Divide each term in
7
m
=
56
7
m
=
56
by
7
7
.
7
m
7
=
56
7
7
m
7
=
56
7
Cancel the common factor of
7
7
.
Tap for more steps...
m
=
56
7
m
=
56
7
Divide
56
56
by
7
7
.
m
=
8
m
=
8
Step-by-step explanation:
7m=56
you have to have m by itself so to do that divide 7 on both sides.
7m/7=56/7
the 7 gets cancels on the left side so now you have
m=56/7
you divide
you get m=8
Look at the diagram.
What type of angle is angle B?
What type of angle is angle D?
Answer:
B - obtuse
D - acute
Step-by-step explanation:
Answer:
I think angle B is an obtuse angle and D is an acute angle. I'm not sure.
Hope this helps :)
Evaluate the function requested. Write your answer as a fractic
B
f
52
20
A
48
Find tan A.
Answer:
b. Tan A = 5/12
Step-by-step explanation:
Recall: SOHCAHTOA.
Since the trigonometric function we are to find is Tan A, we would use TOA, which is:
Tan θ = Opp/Adj
θ = A
Opp = 20
Adj = 48
Thus:
Tan A = 20/48
Simplify the fraction
Tan A = 5/12
what's up with all the answers with fake links that say something like "here is the answer click the link" and its not even a real link ???
Answer:
I dont even know lol
Step-by-step explanation:
Answer:
Like when its in a file? They just like to take your points
Step-by-step explanation:
QUESTION 9 of 10: You get 6 price quotes for a used commercial oven: $7,000; $2,000; $9,000; $3,000; $5,000; $4,000. What is the median price quote
Answer:
4,500
Step-by-step explanation:
just cause
Median of the given set of price is $4500
What is median?The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution
Given set of data = $7000, $2000, $9000, $3000, $5000, $4000
Order the values from low to high
$2000, $3000, $4000, $5000, $7000, $9000
Find the middle term
Here number of terms = 6
It is even number
Then find [tex]\frac{n}{2}[/tex] and [tex]\frac{n}{2}+1[/tex] terms
[tex]\frac{n}{2}=\frac{6}{2}=3[/tex]
[tex]\frac{n}{2}+1=3+1=4[/tex]
Median is the mean of the 3rd value and 4th value
Median =[tex]\frac{4000+5000}{2}=4500[/tex]
Hence, the median of the given set of price is $4500
Learn more about Median here
https://brainly.com/question/15923434
#SPJ2