Answer: B) No; the remainder is 234, so (x+3) is not a factor.
===============================================================
Explanation:
We'll use the remainder theorem. That theorem says if we divide p(x) over (x-k), then the remainder is p(k). A special case of this theorem says that if we get 0 as the remainder, then (x-k) is a factor of p(x).
We're dividing f(x) over (x+3) which means that k = -3. Think of x+3 as x-(-3) so you can match it up with the form x-k.
To find the remainder of f(x)/(x+3), we need to compute f(-3).
Plug x = -3 into the f(x) function to get...
f(x) = 4x^3 + 11x^2 - 75x + 18
f(-3) = 4(-3)^3 + 11(-3)^2 - 75(-3) + 18
f(-3) = 234
The remainder is 234, which is isn't zero, so (x+3) is not a factor of f(x).
Answer:
No; the remainder is 0 so (x + 3) is not a factor
Step-by-step explanation:
A city planner is studying the need for affordable housing in the city's Urban Planning Department. He learned from the census of all 75,342 households in the city that the median family income is $65,000, with an average of 2.9 persons-per-household, and 88% live in a single household unit. Previously, the planner had surveyed a group of 400 randomly selected households in the city. The surveyed households had a median family income of $52,000, an average of 3.2 persons per household, and 80% lived in a single household unit. 2
(a) For city planner's survey, identify the population and the sample,
Population: (Choose one)
Sample: (Choose one)
(b) Choose whether each number described below is a parameter or a statistic for the city planner's survey,
Number Parameter Statistic
The 80% of the group of randomly selected households that live in a single household unit
The average of 2.9 personer household of all the households in the city The $65,000 median family income of all the households in the city At a TV assembling facility, the Quality Assurance (QA) department tested a random selection of 600 TV's assembled in March.
Answer:
Population = 75,342 households
Sample = 400 randomly selected households
The percentage who live in a single household unit = Parameter
The average of 2.9 person per household of all households in the city = parameter
The $65,000 median family income of all the households in the city = Parameter
Step-by-step explanation:
The population refers to all the entire elements, observations or subject which fits into a particular study. In the scenario above, the entire household in the city of study. That is, the 75,342 households.
The sample is the subset of the population which is a smaller set of observation meant to be representative of the larger population. The sample here is the 400 randomly selected households.
Parameter differs from statistics in that numerical estimates or calculations obtained from the population is called the parameter while the numerical characteristics derived from the sample is called statistic.
In this exercise we have to use the knowledge of probability to calculate the chances of choosing a TV approved by the quality control, so:
400 randomly selected households
So, based on the information given in the statement, we have:
Population = 75,342 householdsSample = 400 randomly selected householdsSome parameters for this equation are:
The percentage who live in a single household unit The average of 2.9 person per household of all households in the cityThe $65,000 median family income of all the households in the cityThe inhabitants of a place refers to all the complete essential feature, attention or subject that fits into the study. In the sequence of events above, the complete household fashionable the city of study. That is, the 75,342 households.
The sample exist the subset of the inhabitants of a place that exist a tinier set of comment on something scrutinized intend expected representative of the best inhabitants of a place. The sample in this place happen the 400 carelessly picked households.
See more about statistics at brainly.com/question/10951564
Really need the answers
Answer:
Of what???? what question?
PLZZ answer lots of points
Answer:
7
Step-by-step explanation:
Answer:
it is 7 hope helped
Step-by-step explanation:
Ms. Kumar has a checking account at the bank. If the account balance ever
falls below zero, the bank charges her a fee of $5.95 per day. Today, the
balance in Ms. Kumar's account is -$2.67. If she does not make any deposits
or withdrawals, what will be the balance in her account after 2 days?
Answer:
Step-by-step explanation:
-2.67-3(5.95)= -$20.52
Types of operating system
Answer:
unary and binary
Step-by-step explanation:
Unary operations involve only one value, such as negation and trigonometric functions. Binary operations, on the other hand, take two values, and include addition, subtraction, multiplication, division, and exponentiation.
Answer:
multiprocessing operating system
batch operating system
realtime operating system
multi tasking operating system
mobile operating system
network operating system
Question 2 of 10
If A PQR = ASTU, which statement must be true?
Answer:
PQ = ST
Step-by-step explanation:
..................
Answer:
pq = st
Step-by-step explanation:
we need a rock garden work a perimeter of 18ft area 18ft what is the length and width
Answer:
P = perimeter
A = area
l = lenght
w = width
P = 2 x l + 2 x w
A = l x w
18 ft = 2 x l + 2 x w
18 ft² = l x w
Input l = 6 ft w = 3 ft
18 ft = 12 ft + 6 ft = 18 ft
18 ft² = 6 ft x 3 ft = 18 ft²
Answer:
l = 6 ft
w = 3 ft
Step-by-step explanation:
let the length be l and breadth be b.
perimeter = 2(l +b)
18 = 2(l+ b)
9 = l+ b
b = 9-l .... eq - 1
area = l× b
18 =l ( 9-l)
18 = 9l - l²
l²- 9l + 18 = 0
l ² -3l - 6l +18 = 0
l (l -3) -6 ( l -3) = 0
(l - 6 ) ( l-3) = 0
length (l). = 6 or 3 ft
then breadth = 9-l = 9-3 or 9-6
= 6 or 3 ft
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hope this will be helpful to you ☺️.
-4 • 3 + -7 ?????????
Answer:
The answer to this equation would be -19
Hope this helps!
Answer:
-19
Step-by-step explanation:
Which of the symbols correctly relates the two numbers below? Check all that
apply.
55? 35
Answer:
this symbol >
Step-by-step explanation:
4/5 decreased by 3/5%
Answer:
Step-by-step explanation:
words algebraic symbols reason
two decreased by a number 2 - x start with 2, make it smaller
a number decreased by two x - 2 start with a number, make it smaller
two less than a number x - 2 start with a number, make it smaller
four more than a number x + 4 or 4 + x start with a number, add 4
the difference between 6 and a number 6 - x subtract, starting with 6
subtract four from a number x - 4 starting with a number, subtract 4
the sum of 4 and a number x + 4 or 4 + x add to get a sum
the opposite of the sum of a number and three -(x+3) or -(3+x) take sum, take opposite of sum
It may be convenient for the reader to use the technique the author used in writing the reason column.
Think of the word expression as a task to be completed by a computation.
Determine the operations needed.
Think how one would start and, then
think of what would need to be done to complete the task described.
Notice the uses of the preposition "of" in the last example. Prepositional phrases break up the expressions into pieces. Those beginning with "of" are discussed on the last page.
Below, notice how the prepositional phrases, in blue, which begin with by, between, from, and than, make it easier to examine the phrase and determine where to start and what to do.
words algebraic symbols reason
two decreased by a number 2 - x start with 2, make it smaller
a number decreased by two x - 2 start with a number, make it smaller
two less than a number x - 2 start with a number, make it smaller
four more than a number x + 4 or 4 + x start with a number, add 4
the difference between 6 and a number 6 - x subtract, starting with 6
subtract four from a number x - 4 starting with a number, subtract 4
the sum of 4 and a number x + 4 or 4 + x add to get a sum
the opposite of the sum of a number and three -(x+3) or -(3+x) take sum, take opposite of sum
Additional information is found in a prepositional phrases. The preposition "from" is almost always a tip-off that subtraction is required. Often, the desired mathematical expression starts with what is in the "from" prepositional phrase.
Multiplication & Division
Here are words associated with multiplication or division. The context is the key to the symbols needed, not the word itself. Remember, the word AND is a signal that there are two or more ideas, not that addition is required. Remember, to use prepositional and other phrases to break up the expression in order to determine what is required. Examples follow the list.
divide
quotient
halve, half
third
product
double
triple
square
words algebraic symbols reason
the product of two and a number 2x or 2(x) multiply
a third of the sum of a number and two (x + 2)/3 start with the sum, take a third of it
double the difference between 6 and a number 2(6-x) start with the difference, multiply by 2
triple the sum of four, five, and a number 3(4 + 5 + x) start with the sum, multiply by 3
the value of 4 nickels 4(5) or 5+5+5+5, etc. four fives or five four times
the value of some nickels 5x multiply 5 times a number
The last example may be HARD. Use the table below to examine the reason more clearly. The value of x nickels is 5x. The value of some nickels is 5x.
number of nickels value of nickels
1 5(1) = 5
2 5(2) = 10
3 5(3) = 15
4 5(4) = 20
x 5(x) = 5x
Exercises
I. Write the expression/equation then check the answer.
Note: Your browser may print the answers with spaces that are not ment to be there.
1.) the square of five
Answers
5²
2.) the square of five subtracted from a number
Answers
x - 5²
3.) the opposite of a number
Answers
-x
4.) six less than half of a number
Answers
x/2 - 6 or .5x - 6
5.) the product of a number and four
Answers
4(x) or 4x or (4)(x)
6.) a number decreased by five
Answers
x - 5
7.) five less than a number
Answers
x - 5
8.) Ten is five less than a number.
Answers
10 = x - 5
9.) A number is less than five.
Answers
x < 5
See additional info on these.
10.) one less than a number
Answers
x - 1
11.) one less than a double a number
Answers
2x - 1
12.) the opposite of the sum of a number and 12
Answers
-(x + 12)
13.) triple a number
Answers
3x
14.) twice the sum of a number and 1
Answers
2(x + 1)
III. Complete the table. Check each answer.
words algebraic symbols
1.
Answers
one less than a number
x - 1
2. the sum of six and double a number
Answers
6 + 2x or 2x + 6
3. double the sum of six and a number
Answers
2(x + 6)
4. the sum of three consecutive integers
Answers
first + second + third
(x) + (x + 1) + (x + 2)
5. the product of 2 consecutive odd integers
Answers
(first)(second)
(x)(x + 2)
IV. Complete the table. Check each answer.
words algebraic symbols
1. one more than a number
Answers
x + 1 or 1 + x
2.
Answers
one less than a number or a number decreased by one
x - 1
3. the product of a number and 3 and a different number
Answers
3xy
4.
Answers
double a number or the product of a number and two
2x
5.
Answers
the square of a number or a number multiplied by itself
x2
In a survey of 1000 voters, 680 said they would vote for the same candidate again. What percent of the voters WOULD NOT vote for the same candidate again?
Answer:32%
Step-by-step explanation:1000- 680=320
100-68=32
32%
find the mean of the distribution
Answer:
yyy
Step-by-step explanation:
Answer:Canst see
Step-by-step explanation:
sorry my guy
5 more than 10
A)5/10
B) 5-10
C) 10+ 5
D) 2*10
Answer:
A po
Step-by-step explanation:
sana paka tulong
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por favor ayúdame, doy lo más inteligente,más inteligente ,Brainliest i give brainliest!
Answer:
The trapezoid's area formula is [tex]A = \frac{1}{2} (b_{1} + b_{2})h[/tex], the circle's area formula is [tex]A =[/tex]π[tex]r^{2}[/tex], the triangle's area formula is [tex]A = \frac{1}{2}bh[/tex], and the parallelogram's area formula is [tex]A = bh[/tex].
3×/5 2×/3 + 1/5 = 0
Answer:
what is the question. the equation is invalid.
6(9+12) procedimiento con propiedad distributiva
Answer:
126
Step-by-step explanation:
Suppose a special interest group in a state is promoting an amendment to the state constitution so that residents can legally consume marijuana for medical and recreational use. They declare that voters in the state are strongly in support of the legalization of marijuana. This declaration is based on data collected in a sample survey. The group used the white pages of telephone directories of the three largest metropolitan areas in the state and randomly selected residential phone numbers to call in each city. They made calls until they had 500 responses per area. The relevant population of interest is:
Answer:
All Registered voters in the state
Step-by-step explanation:
The random sample utilized involves a random subset of citizens from each of the 3 largest cities in the state. The larger group which consists of all set of observation from which the smaller sample used in the survey was chosen is called the population.
Hence, the relevant population may be said to encompass all citizens of the state who have attained voting age and are registered, hence, all citizens in the state who are registered voters.
Seventy-five percent of the apples pies were sold today. If 12 apples pie were sold, then how many pies were made today?
Answer:
16 pies
Three-Quarters of 16 is 12, and if you sell 12, then you have a quarter which is 4, which ends up being every quarter which equaled 4
HELLPPP PLSSS!! i need help help help
Answer:25.50
Step-by-step explanation:
Because .50 is in the hundreths, and it rounds up to that because it is above 5.
Students at a major university are complaining of a serious housing crunch. Many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. The university officials respond with the following information:
The mean distance commuted to school by students is 17.1 miles, and the standard deviation of the distance commuted is 3.7 miles. Assuming that the university officials' information is correct, complete the following statements about the distribution of commute distances for students at this university.
1) According to Chebyshev's theorem, at least 36% of the commute distances lie between miles and miles. (Round your answer to 1 decimal place.)
2) According to Chebyshev's theorem, at least of the commute distances lie between 9.7 miles and 24.5 miles.
a) 56%
b) 75%
c) 84%
d) 89%
3) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the commute distances lie between 9.7 miles and 24.5 miles.
a) 68%
b) 75%
c) 95%
d) 99.7%
4) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between miles and miles.
Answer:
1) Between 12.5 miles and 21.7 miles.
2) b) 75%
3) c) 95%
4) Between 13.7 miles and 20.5 miles.
Step-by-step explanation:
Empirical Rule:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Chebyshev Theorem:
The Chebyshev Theorem can also be applied to non-normal distribution. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]P = 100(1 - \frac{1}{k^{2}})[/tex].
1) According to Chebyshev's theorem, at least 36% of the commute distances lie between miles and miles.
Within k standard deviations of the mean, and k is found when [tex]P = 36[/tex]. So
[tex]P = 100(1 - \frac{1}{k^{2}})[/tex]
[tex]36 = 100 - \frac{100}{k^2}[/tex]
[tex]\frac{100}{k^2} = 64[/tex]
[tex]64k^2 = 100[/tex]
[tex]k^2 = \frac{100}{64}[/tex]
[tex]k = \sqrt{\frac{100}{64}}[/tex]
[tex]k = \frac{10}{8}[/tex]
[tex]k = 1.25[/tex]
Within 1.25 standard deviations of the mean.
1.25*3.7 = 4.6 miles
17.1 - 4.6 = 12.5 miles
17.1 + 4.6 = 21.7 miles
Between 12.5 miles and 21.7 miles.
2) According to Chebyshev's theorem, at least of the commute distances lie between 9.7 miles and 24.5 miles.
17.1 - 9.7 = 24.5 - 17.1 = 7.4 miles, so within 2 standard deviations of the mean, which is 75%, option B.
3) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the commute distances lie between 9.7 miles and 24.5 miles.
Within 2 standard deviations of the mean, by the Empirical Rule, which is 95%, option c.
4) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between miles and miles.
Within 1 standard deviation of the mean.
17.1 - 3.4 = 13.7
17.1 + 3.4 = 20.5
Between 13.7 miles and 20.5 miles.
A store pays $3 for a box of plastic spoons and marks the price up by 5%. What is the
amount of the mark-up?
$
Answer:
givens
3$
5%
clue word Up
operation to be use : Multiplication
Number Sentence 3x( 5÷100=0.05 )
3x0.05=N
The Answer Is
3x0.05 = 0.15
$0.15 Is the Amount Of the Mark-Up
Hope It's Help (づ￣ ³￣)づ
[ I spend 3:00 minutes This solved It ]
A question that requires the use of statistics is called a
Answer: A statistical question is a question that can be answered by collecting data that vary.
Step-by-step explanation: “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.
Answer:
Statistical Question?
Step-by-step explanation:
Evaluate −nz−z2−2z when n=3. Simplify your answer.
Answer: n=
−z2−5
z
Step-by-step explanation:
Let's solve for n.
(−n)(z)−z2−2=3
Step 1: Add z^2 to both sides.
−nz−z2−2+z2=3+z2
−nz−2=z2+3
Step 2: Add 2 to both sides.
−nz−2+2=z2+3+2
−nz=z2+5
Step 3: Divide both sides by -z.
−nz
−z
=
z2+5
−z
Answer:
-z^2-5z
Step-by-step explanation:
To evaluate a polynomial at a given value, we substitute the given value for the variable and then simplify using order of operations. We are given n=3, so we substitute 3 for n in the polynomial −nz−z2−2z and simplify as follows.
−nz−z2−2z
−(3)z−z2−2z
−3z−z2−2z
−z2−5z
What does it mean to be a Rigid Motion?
Name 3 Rigid Motions that we discussed in Semester A:
Answer:
A Rigid Motion is a transformation that preserves length (distance preserving) and angle measure (angle preserving). Another name for a rigid motion is an isometry. A direct isometry preserves distance and orientation. Translations and Rotations are direct isometries.
Step-by-step explanation:
In the rectangle below what is X
Answer:
X = 114
Step-by-step explanation:
if one corner is 33 degrees. and the opposite corner is the same then you know that makes 66 degrees.
you take that minus 180. so 66 - 180 which leaves 114.
so X is 114
When creating a playlist for spotify, Jorge likes to maintain a ratio of 7 hip hop songs : 2 pop songs : 1 slow song. Suppose Jorge wants to put 28 hip hop songs on the playlist. How many total songs will be on the playlist? Use any method to solve.
Which comparison is correct?
151 >>7
07<171
1-31 >|-41
0-5<-4
Answer:
151>7 is correct
Step-by-step explanation:
Negative nine is greater than the sum of fifteen and two times a number.
Answer:
-9>2x+15
Step-by-step explanation:
help me fast quick plz I need an answer
Answer:
this is tricky
Step-by-step explanation:
Find the area of a triangle where the base is 3 3/4 in and the height is 4 inches.