Answer:
f(x) = 3x^3 + 3x^2 - 6x.
Step-by-step explanation:
Let:
f(x) = x(x - 1)(x + 2)
= x(x^2 + x - 2)
= x^3 + x^2 - 2x - this might be the answer or it might be some multiple of this.
Now f(2) = 24 so
24 = a(2^3 + 2^2 - 2(2)) where a is a constant.
24 = 8a
a = 3
So the function is
3( x^3 + x^2 - 2x)
= 3x^3 + 3x^2 - 6x.
Suppose you take a simple random sample of size n=175 from the population of Reese's Pieces, still assuming that 45% of this population is orange (LaTeX: \piπ=.45).
What is the probability that a sample proportion of orange candies will be between .35 and .55?
Answer:
The probability is [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 175
The population proportion is p = 0.45
Generally the mean of the sampling distribution is [tex]\mu_{x} = 0.45[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma_{x} = \sqrt{\frac{p (1-p)}{n} }[/tex]
=> [tex]\sigma_{x} = \sqrt{\frac{0.45 (1-0.45)}{175} }[/tex]
=> [tex]\sigma_{x} = 0.0376[/tex]
Generally the probability of that the sample proportion of orange candies will be between 0.35 and 0.55 is
[tex]P(0.35 < X < 0.55) = P( \frac{0.35 - 0.45}{0.0376} < \frac{X -\mu_{x}}{\sigma_{x}} < \frac{0.55 - 0.45}{0.0376} )[/tex]
=> [tex]P(0.35 <X < 0.55) = P( -2.696 < \frac{X -\mu_{x}}{\sigma_{x}} < 2.6595 )[/tex]
Generally [tex]\frac{X - \mu_{x}}{\sigma_{x}} = Z (The \ standardized \ value \ of X)[/tex]
So
[tex]P(0.35 <X < 0.55) = P( -2.6596 < Z< 2.6595 )[/tex]
=> [tex]P(0.35 <X < 0.55) =P( Z< 2.6595 ) - P( Z < -2.6596 )[/tex]
From the z-table
[tex]P( Z< 2.6595 ) = 0.99609[/tex]
and
[tex]P( Z< - 2.6595 ) = 0.0039128[/tex]
So
[tex]P(0.35 <X < 0.55) =0.99609 - 0.0039128[/tex]
=> [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]
The total cost of a cab ride can be represented by the function f(x) = 3x + 2.5, where x is the number of miles driven
Estimate how much the cab will cost if the cab ride is 8 miles and 25 miles.
Answer:
8 miles: $26.50
25miles: $77.50
Step-by-step explanation:
Substitute (x) for the number of miles
8 miles: f(x)=3(8)+2.50
=24+2.50
=26.50
25miles: f(x)=3(25)+2.50
=75+2.50
=77.50
What is 12 plus 364 divided by 2/7?
Answer:1316
Step-by-step explanation:
Answer:
thanks
Step-by-step explanation:
I want explaintationGET20 POINTS BY ANSWERING THE QUESTION!
ARE PRIME AND CO-PRIME NUMBERS SAME ? GIVE RIGHT ANSWER AS SOON AS POSSIBLE..
Answer:
[tex]yes \: \\ PRIME \: AND \: CO-PRIME \: NUMBERS \: are \: the \: SAME [/tex]
ANSWER FAST PLZ FOR BRAINILIST
Answer:The 1st one
Step-by-step explanation:
Solve for
-1/7x = -2
Answer: I hope this is correct -9
Step-by-step explanation: This is right
I’m confused how to do ratios
Answer:
i will explain it to you
Step-by-step explanation:
Which expression is equal to -12 1/2 + 5 3/4
Answer: A
Step-by-step explanation:
It wants you to make it an in improper fraction
Which is the completely factored form of 18x4 – 42x3 + 24x2?
3x(3x - 4)(2x - 2)
3x2(3x - 4)(2x - 2)
6x(3x – 4)(x - 1)
6x²(3x - 4)(x - 1)
Answer:
D
Step-by-step explanation:
The completely factored form is 6x² (3x - 4) (x - 1).
Option D is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
18[tex]x^4[/tex]– 42x³ + 24x²
Now,
The common factor of 18, 42, and 24 is 6.
And x² is common to all the terms.
So,
6x² (3x²– 7x + 4) _____(1)
Now,
(3x²– 7x + 4)
3x² - (4 + 3)x + 4
3x² - 4x - 3x + 4
x(3x - 4) - 1(3x - 4)
(3x - 4) (x - 1) ______(2)
Now,
From (1) and (2) we get,
6x² (3x - 4) (x - 1)
Thus,
6x² (3x - 4) (x - 1) is the completely factored form.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
Use the word SCHOOL to answer this question.
If the letters of this word were written on paper and then cut into squares with one letter
per square, what is the probability of this event?
P(consonant)
1
3
1
2
1
6
2
3
Answer:
2/3
Step-by-step explanation:
4/6 * 100% = 66.66% = 2/3
Expression for divide the difference between 1200 and 700 by 5
Step-by-step explanation:
(1200-700)/5
=500/5
=
The expression results to 100.
What is Expression?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.
Given:
divide the difference between 1200 and 700 by 5
so, mathematically
(1200- 700)/5
= 500 /5
= 100
Hence, the expression results to 100.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ5
2. measure of an angle that is supplementary to
can you help please/
?
Answer:
B.
Step-by-step explanation:
Hope this helps!!
2. Four out of nine dogs weigh less
than 20 pounds. What is the decimal
equivalent for the number of dogs
weighing under 20 pounds?
A 0.2
B 0.24
C 0.2
D 0.49
Answer:
0.49
Step-by-step explanation:
The repeating decimal equivalent would be 0.44, and round it to 0.49
Can u please help I will do Brainleyist
Answer:
the answer is B this other guy messed up his math trust me i know it's right
Step-by-step explanation:
if you add up all the numbers it equals 27 squar units
The wind is blowing N 35.0 degrees W at 1.60 * 10^2 mph. A plane has an engine speed of 3.20 * 10^2 mph. Where should the pilot point the plane in order to fly straight W?
Answer: 24.2° SouthWest
Step-by-step explanation:
First step: DRAW A PICTURE of the vectors from head to tail (see image)
I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.
Perpendicular (x):
cos 35° = adjacent/hypotenuse
cos 35° = x/160
→ x = 160 cos 35°
Angle (θ):
sin θ = opposite/hypotenuse
sin θ = x/320
sin θ = 160 cos 35°/320
θ = arcsin (160 cos 35°/320)
θ = 24.2°
Direction is down (south) and left (west)
Researchers at Mississippi State University were studying the impact of different environmental sounds on ecosystems. For their study, they created 333 similar ecosystems in their lab containing a variety of insects and plants. They randomly assigned each ecosystem to be exposed to rock music, country music, or a conventional city soundscape for two consecutive weeks. At the end of the study, they measured how successful the species were in each ecosystem. What type of experiment design is this?
Answer:
The experiment design used in this case is the between-subjected design.
Step-by-step explanation:
Between-subject design is a sort of experimental design where the individuals of an experiment are allocated to varied situations, with each individual being treated with only one of the experimental conditions.
In this case three similar ecosystems are designed containing a variety of insects and plants. Then each ecosystem to be exposed to rock music, country music, or a conventional city soundscape for two consecutive weeks.
Then after two weeks period they measured how successful the species were in each ecosystem.
The experiment design used in this case is the between-subjected design.
Answer:
A completely randomized design
Step-by-step explanation:
The 3 ecosystems were each randomly assigned a treatment. They were not grouped in any way with random assignment happening within each group, so this is a completely randomized design. (From Kahn)
The price of lunch increased from $4.00 to $5.00 . What is the percent increase?
Answer: 1% ?
Step-by-step explanation:
Answer:
That is a 25% increase
Step-by-step explanation:
Hope this helps!!
The price of a train ticket is 155.00 What would it be if you had a 75% discount
Answer:116.25
Step-by-step explanation:
The rectangle below is enlarged using a scale factor of 1.5. What will be the new length and width of the rectangle?
Answer: length = 4.5 m, width = 3 m
Step-by-step explanation:
When a shape is enlarged using a scale factor, you simply multiply each of the sides by the scale factor.
length = 3 * 1.5 = 4.5 m
width = 2 * 1.5 = 3 m
What is the common ratio between successive terms in a sequence?
1.5, 1.2,0.96, 0.768, ...
9514 1404 393
Answer:
0.8
Step-by-step explanation:
The ratio of the first two terms is ...
1.2/1.5 = 4/5 = 0.8
That is also the ratio of successive adjacent terms.
0.96/1.2 = 0.768/0.96 = 0.8
The common ratio is 0.8.
25 POINTS
Look at the image, read, and choose the correct option.
Monday, Feburary 7th Granada
Dia de la Independencia
Friday, Feburary 27th República Dominicana Dia de la Independencia
Tuesday, March 14th San Vicente y las Granadinas Dia de los Heroes
Sunday, March 17th Montserrat
Fiesta de San Patricio
Thursday, March 18 Aruba
Dia de la Bandera y del Himno nacional
¿Qué dia es el Día de la Independencia en Granada?
O Es el Viernes, 27 de Febrero
O Es el 7 Lunes de Febrero
O Es febrero, el viernes 27
O Es el lunes, 7 de febrero
Answer:
Es el lunes, 7 de febrero.
Step-by-step explanation: i took the test and got it right
3. Jean purchased 6 yards of felt to make banners. Each banner requires 1 1/2 yards. How many
banners can she make?
A. 2
B. 4
C. 6
D. 9
B.
Explanation:
1.5+1.5=3+1.5= 4.5+1.5= 6
(How much 1.5 is there?) (1.5=1 1/2 btw)
Round 17.68694 to the nearest tenth
Answer:
17.7
Step-by-step explanation:
The tenths place is the very first value after the decimal. The number 17.68694 rounds up to 17.7, because .68 is closer to .7 than it is to .6.
PLEASE HELP!!!
Please help me answer the questions that are circled, I really need help!
Answer:
Here:
Step-by-step explanation:
23. f(x) = [tex]\sqrt{x}[/tex] and g(x) = [tex]x^2-5x[/tex]
24. f(x) = [tex]x^2[/tex] and g(x) = [tex]x^3+1[/tex]
28. f(x) = [tex]e^x[/tex] and g(x) = [tex]sinx[/tex]
29. f(x) = [tex]cosx[/tex] and g(x) = [tex]\sqrt{x}[/tex]
Basically, you try to find a function contained inside a function if that makes sense. For example in question 23, g(x) itself is a function = [tex]x^2-5x[/tex]. Same with f(x) = [tex]\sqrt{x}[/tex] . In this case, when we try to fo f(g(x)), we are basically replacing x in the f(x) function by the equation in g(x). Hope this makes sense.
the equation y = 1/5x represents a proportional relationship. explain how you can tell the relationship is proportional from the graph of the equation, and you can find the constan of proportionality.
Answer:
Yes, y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship and the constant of proportionality is [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality
If x and y are proportion, then y = k x, where k is the constant of proportionalityThe proportional relationship represented graphically by a line passing through the origin point (0, 0)Let us solve the question
∵ y = [tex]\frac{1}{5}[/tex] x
→ It the same as the form of the proportional equation above
∵ [tex]\frac{1}{5}[/tex] is a constant
∴ y is the product of x and constant
∴ y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship
Substitute x by 0 to find y and show it represented by a line passing through the origin
∵ x = 0
∴ y = [tex]\frac{1}{5}[/tex] (0) = 0
→ That means point (0, 0) lies on the line which represents the equation
∴ The line which represents this relation is passing through the origin
∴ y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship
∵ y = kx, k is the constant of proportionality
∵ y = [tex]\frac{1}{5}[/tex] x
∴ k = [tex]\frac{1}{5}[/tex]
∴ The constant of proportionality is [tex]\frac{1}{5}[/tex]
HELP ASAP!! WILL MARK BRAINLIEST!
Question 8 Multiple Choice Worth 5 points)
(03.04 MC)
Solve for x:
(-4/3) x -6 = 26
Answer:
X = -24
Step-by-step explanation:
Using the inverse:
26 + 6 = 32
x = 32 / (-4/3) = -24
1. Lee Johnson wants to join Planet Fitness. It cost $15 starting fee, and $11 per session. Lee has
paid $400. How many sessions can he attend?
The
perimeter of
rectangle is 36 cm
If its width is 7cm Exaluate to its length
Answer:
11
Step-by-step explanation:
5 = w/2.2 (This means w is divided by 2.) *
Answer: w = 11
Step-by-step explanation: 5x2.2=11 so 11/2.2=5.
Answer:
11
Step-by-step explanation:
khan said so