Answer:
2/9
Step-by-step explanation:
4/18 and that can be reduced by dividing both (denominator and numerator) by 2 which leaves you with 2/9
Hope that helps and have a great day!
Express the number 7,980 in scientific notation.
Answer:
7.98x10^3
Step-by-step explanation:
10^3=1000
Answer:7.980 × 10^3
Step-by-step explanation:
pwease help!! i need help to put the answers in the box c:
Answer:
6 months is: 15675
2 months is: 5172.75
1 month is: 2586.37
15 months is: 38795.62
the missing number is: 12 months
Step-by-step explanation:
Find the surface area of a right cone with a diameter of 6 inches and a slant height of 5 inches.
Answer:
about 172.82
Step-by-step explanation:
Answer:
83.23
Step-by-step explanation:
to work out surface area of a right cone u
A=πr(r+h2+r2)
hope this helps
im not sure if its right tho
write in standard form -4 + y +2x = 0
Answer:
the answer is 2x+y=4
Step-by-step explanation:
2x+y=4
Answer:
y = -2x + 4
Step-by-step explanation:
Which number has the same absolute value
as 8
Answer:8
Step-by-step explanation:
to be proportional, there must be a constant of proportionality
true or false
Answer:
True
Step-by-step explanation:
There must be a constant of proportionality.
Hope this helps!
The weekly demand function for x units of a product sold by only one firm is
p = 800 − 0.5x dollars, and the average cost of production and sale is C(with a line on top) = 300 + 2x dollars.
(a) Find the quantity that will maximize profit.
(b) Find the selling price at this optimal quantity.
(c) What is the maximum profit?
Answer:
a) x = 798 is the quantity that maximizes the profit
b)po(x) = 401 $/unit
c)P(max ) = 636105 $
Step-by-step explanation:
The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:
R(x) = p(x) * x
R(x) = ( 800 - 0,5*x ) * x
R(x) = 800*x - 0,5*x²
The equation for the profit is:
P(x) = R(x) - C(x)
P(x) = 800*x - 0,5*x² - ( 300 + 2*x)
P(x) = 798*x - 0,5*x² - 300
a) P(x) = 798*x - 0,5*x² - 300
Taking derivatives on both sides of the equation:
P´(x) = 798 - x
If P´(x) = 0 then 798 - x = 0
x = 798 is the quantity that maximizes the profit
b) Selling price for the optimal quantity is:
p(x) = 800 - 0,5*x
p(x) = 800 - 0,5* 798
po (x) = 800 - 399
po(x) = 401 $/unit
c) Pmax = ?
P(x) = 798*x - 0,5*x² - 300 by subtitution of x = 798
P(max) = 636804 - 399 - 300
P(max ) = 636105 $
a) The quantity that will maximize profit is [tex]100 \ units[/tex].
b) The selling of at this optimal quantity is [tex]\[/tex][tex]750[/tex] per unit.
c) So, the maximum profit is [tex]\[/tex][tex]25000[/tex].
Demand Function:A demand function is a mathematical equation that expresses the demand for a product or service as a function of its price and other factors such as the prices of the substitutes and complementary goods, income, etc.
The given demand function,
[tex]P=800-\frac{1}{2}x[/tex]
So, the revenue function is,
[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]
[tex]\Rightarrow[/tex]Average cost is
[tex]\bar{C}=300+2x[/tex]
So, the total cost function is,
[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]
a) Profit function:
[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]
For maximum,
[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]
b) Selling Price:
[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]
c) Maximum Profit:
[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]
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How can you use a number line to find the sum of -8 and 9?
Answer:
The answer is 1
Step-by-step explanation:
If you look at the number line and start counting from -8 and count 9 to the right then the number that you end on is the answer.
Please help it would help me alot!!!
Answer: Total cost for 1 ride = $11. Total cost for 2 rides = $14. Total cost for 3 rides = $17. Total cost for 4 rides = $20. Total cost for 5 rides = $23
Step-by-step explanation:
What is the value of the expression -7+-4
Answer:
-11
Step-by-step explanation:
This is the answer because:
1) First, multiply the negative sign with the positive sign.
Negative x Positive = Negative
Equation: -7 - 4
2) Now, multiply the negative sign with the negative sign.
Negative x Negative = Positive
Equation: 7 + 4 = 11
3) Finally, add the greater number's sign (-7) in front of the number.
-11
Hope this helps! :D
If you have metamorphic rock and melt it, what does it become?
A. Magma
B. Minerals
C. Sedimentary Rock
D. Soil
Step-by-step explanation:
When metamorphic rock melts it turns into magma.
which equation choice could represent the graph shown below?
Answer:
The answer is...
f(x)=(x-3)+(x+3)
I think this is the answer. I haven't done this kind of math in a while so...
The chosen equation, (x +3)(x + 3) = 0, will serve as a representation of the provided graph.
What is a Quadratic equation?ax²+bx+c=0, with a not, equals 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
given a Graph of a quadratic equation.
Contrarily, parabolas are used to graph quadratic equations. In other words, the data will be displayed as either an "open" or "upside-down" U-shaped curve. The graph is always quadratic if you are drawing a graph from a function and the equation involves x².
in this graph, we can observe that graph has only one root at x = -3
therefore the equation of the Given parabola is
(x + 3)² = 0
or
(x +3)(x + 3) = 0
therefore, the equation choice could represent the graph given will be (x +3)(x + 3) = 0.
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if a person ran 1/2 of a mile in 1/10 of an hour. How far will the person run in one (1) hour?
Step-by-step explanation:
In 1/10 of 1hr = 1/2 mile
10*(1/10) of 1hr = 10(1/2) mile
(10/10) of 1hr = (10/2) mile
1 of 1hr = 5mile
It says, he can run 5 miles in 1 hour
Lines E, F, and G are parallel lines cut by transversal H as shown below. What is the value of
a+b+c+d?
Answer:
okay now i get it its not easy at first but look at it for a bit and yoll get it
PLZ HELP !!
Max deposited $1,300 into an account that pays 4.5% interest, compounded daily. At end of six years he has a balance of ?
Answer:
The final balance is $1,692.94.
The total compound interest is $392.94.
Step-by-step explanation:
1,300 x 0.045=___ x 6
Help Please! :(
108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus?
Please include algebraic equation and answer.
Answer:
81
Step-by-step explanation:
Brandon enters bike race. He bikes 9 1/2 miles every 1/2 hour
How do you solve for x?
An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability that it will not be enough seats to accommodate all passengers. Assume that the probability that a randomly selected passenger shows up to the airport is 0.96. Find the probability using the normal distribution as an approximation to the binomial distribution.
Answer:
The probability is [tex]P(X >300 ) = 0.97219 [/tex]
Step-by-step explanation:
From the question we are told that
The capacity of an Airliner is k = 300 passengers
The sample size n = 320 passengers
The probability the a randomly selected passenger shows up on to the airport
[tex]p = 0.96[/tex]
Generally the mean is mathematically represented as
[tex]\mu = n* p[/tex]
=> [tex]\mu = 320 * 0.96[/tex]
=> [tex]\mu = 307.2[/tex]
Generally the standard deviation is
[tex]\sigma = \sqrt{n * p * (1 -p ) }[/tex]
=> [tex]\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }[/tex]
=> [tex]\sigma =3.50 [/tex]
Applying Normal approximation of binomial distribution
Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as
[tex]P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )[/tex]
Here [tex]\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )[/tex]
=>[tex]P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )[/tex]
Now applying continuity correction we have
[tex]P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )[/tex]
=> [tex]P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )[/tex]
=> [tex]P(X >300 ) = P(Z > -1.914 )[/tex]
From the z-table
[tex]P(Z > -1.914 ) = 0.97219[/tex]
So
[tex]P(X >300 ) = 0.97219 [/tex]
Restless Leg Syndrome and Fibromyalgia
People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.
Answer:
The probability that a person with restless leg syndrome has fibromyalgia is 0.183.
Step-by-step explanation:
Denote the events as follows:
F = a person with fibromyalgia
R = a person having restless leg syndrome
The information provided is as follows:
P (R | F) = 0.33
P (R | F') = 0.03
P (F) = 0.02
Consider the tree diagram attached below.
Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:
[tex]P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}[/tex]
[tex]=\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183[/tex]
Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.
Which expression is equivalent to |-5| + |-3|
Answer:
5+3
Step-by-step explanation:
5+3
Answer:
5+3=8
Step-by-step explanation:
Please find the area and circumference of
the circle below
Answer:
area: 153.86
Circumference: 43.96 :D
Step-by-step explanation:
PLEASE HELP! 6TH GRADE MATH please write done what number you're doing
Answer:
# 10 is 4/3 or 1 and 1/3
#11 is 4/10 or 2/5
#12 is 2 and 3/4
#13 is 36/12 or 3 and 1/12
Step-by-step explanation:
i am not 100% sure on #13 btw
hope this helped!
p.s it would be cool if you gave me brainliest.
Answer:
Hey your answers on there are correct.
Step-by-step explanation:
16B+3.5W = 22 Antoine bikes part of the way on a 22 mile trail and walks the rest of the way. If he spends B hours biking and W hours walking, the trip is modeled by the equation shown above. What is the meaning of the 16B in the equation?
Answer:
Antoine bikes for 16B miles before starting his walk.
Step-by-step explanation:
16 is that speed which is covered in B hours by bike by Antoine
What is speed?Speed is defined as The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
Speed = [tex]\frac{distance}{time}[/tex]
Given,
16B+3.5W = 22 an equation in which B is time covered by bike and W is time covered by walk
Antoine travels partially by bike and partially by walk, and total covered 22
That means 16B is the distance covered by bike, and 16 is its speed.
Hence, 16 is that speed which is covered in B hours by bike.
Learn more about speed:
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In a group of 80 people, 50 can speak Nepali, 45 can speak English and 7 of them do not
speak both languages.
a) Find the number of people who speak both languages.
b) Also illustrate the above information in Venn diagram.
Answer:
Universal set is 80
Number of people that speak Nepali is 50
Number of people that speak English is 45
Number of people that do not speak both is 7
a. Number of people that speak both languages is 22
b. As above
Step-by-step explanation:
a. Let make number of people that speak both languages x
To get x
(50-x) + (45-x) + x + 7 = 80
(50-x) + (45-x) + x = 80 - 7
(50-x) + (45-x) + x = 73
Open bracket
50-x+45-x+x= 73
50+45-2x+x = 73
95 - x = 73
-x = 73 - 95
-x = -22
x = 22
Therefore, number of people that speak both languages is 22
b. To get venn diagram
Number of people that speak Nepali is 50 - 22 = 28
Number of people that speak English is 45 - 22 = 23
Therefore, total = 28+23+22+7 = 80
The slope of a line is 15 and the point (3, -1) lies
on the line. Write an equation of the line in
point-slope form.
Answer:
The answer is
[tex] \huge y + 1 = 15(x - 3) \\ [/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question we have the final answer as
[tex]y + 1 = 15(x - 3)[/tex]
Hope this helps you
Three high school participated in a study to evaluate the effectiveness of a new computer-based mathematics curriculum. Four 24-student sections of freshman algebra were available for the study. The two types of instruction (standard curriculum, computer-based curriculum) were randomly assigned to the four sections in each of the three schools. At the end of the term, a standard mathematics achievement test was given to each of the 24 students in each section.
a. Is this study experimental, observational, or mixed experimental and observational? Why?
b. Identify important factors, factor levels, and/or factor-level combinations.
c. Classify these factors as within- or between-subjects
d. what’s the dependent measures?
e. What is the basic experiment unit of study?
Answer:
Given that;
There are three high schools, each having four sections of every 24 students
the 2 types of instructions are Standard curriculum & computer based curriculum
a)
this study is experimental
this is because the study did not just observe the student's performance but randomly assign the performance to different techniques that have some certain control over the technique of teaching and then observe their performance afterwards
b)
-important factors are; high schools, instruction type and scores
- Highschool has 2 levels: level one there are three high schools, level 2 each having four sections of every 24 students
-instruction type: has one level which is divided into two namely; standard base and computer based
Scores: doesn't have levels
c)
there are 3 schools and 4 sections so the factor high school has between subjects components
factor instruction type also has between subjects because there are two different types available
there are 24 students in each section which are within subjects
d)
the score on the test is the dependent measures
e)
“STUDENT” in each section is he basic experiment unit of study
HELP MEEEE
Solve 1.43p + 2.2 = -4.001. Round your answer to the nearest hundredth. Show your work.
Answer:
p = -4.33636363636
Step-by-step explanation:
subtract 2.2 from -4.001 which equals -4.001-2.2=-6.201 and divide -6.201 by 1.43p and that equals -4.33636363636 so p = -4.33636363636
Please help ASAP!!! Will give brainlist!
Answer:
the last 1
Step-by-step explanation:
Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9
Answer:
Yes blue liquid is toxic
Step-by-step explanation:
H0: p1 = p2
H1: p1>p2
For blue
We calculate proportion as
37/40 = 0.925
For white
9/40 = 0.2250
To get p
(X1 + x2)/(n1 + n2)
= 0.5750
After calculating the z as statistic (please check attachment) I got 6.33
P value = 0.0000
We reject null hypothesis and say in conclusion that enough evidence exists for us to say blu liquid is toxic!
Thank you!