The money which is expected to spend on new word processors during this year is
The probability distribution is
x: 0 1 2 3
f(x) [tex]\frac{1}{10}[/tex] [tex]\frac{3}{10}[/tex] [tex]\frac{2}{5}[/tex] [tex]\frac{1}{5}[/tex]
If the cost of the desired model is $1200 per unit and at the end of the year a refund of 50x2 dollars
So total money spent in this year is [tex]1200x-50x^2[/tex]
Then the equation of expenses will be
[tex]\text{Expenses}=E(1200x-50x^2)[/tex]
We can rewrite it as
[tex]\text{Expenses}=E(1200x)-E(50x^2)[/tex]
[tex]\text{Expenses}=1200E(x)-50E(x^2)[/tex] -----------------(1)
Now the mean of the probability distribution is ,
[tex]E(x)=\sum_{ }^{ }((x_i)(f(x_i))\\=(0\times\frac{1}{10})+(1\times\frac{3}{10})+(2\times\frac{2}{5})+(3\times\frac{1}{5})\\=\frac{3}{10}+\frac{4}{5}+\frac{3}{5}\\\\=\frac{3+8+6}{10}\\\\=\frac{17}{10}\\\\=1.7[/tex]
The variance of the function is
[tex]E(x)=\sum_{ }^{ }(x_i^2)(f(x_i)[/tex]
[tex]=(0^2\times\frac{1}{10})+(1^2\times\frac{3}{10})+(2^2\times\frac{2}{5})+(3^2\times\frac{1}{5})[/tex]
[tex]=\frac{3}{10}+\frac{8}{5}+\frac{9}{5}[/tex]
[tex]=\frac{37}{10}[/tex]
[tex]=3.7[/tex]
On substituting the values in equation (1)
[tex]\text{Expenses}=1200E(x)-50E(x^2)[/tex]
[tex]=1200(1.7)-50(3.7)^2[/tex]
[tex]=2040-684[/tex]
[tex]=1855[/tex]
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Which statement is true about the given function?fx) > 0 over the interval (-0,3).f(x) > 0 over the interval (-:-).f(x) <0 over the interval (-0,3).f(x) <0 over the interval (- : -).
f(x) means the value of y
The graph has a part down the x-axis which means f(x) < 0
The graph has another part over the x-axis which means f(x) > 0
The value of x for the negative part is from - infinity to 3
Then f(x) < 0 at the interval (-00, 3)
The value of x for the positive part is from 3 to infinity
then f(x) > 0 at the interval (3, 00)
Then the answer is C
The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 281 people entered the park, and the admission fees collected totaled 684 dollars. How many children how many adults were admitted?
Answer:
176 children and 105 adults.
Explanation:
Let's call x the number of children and y the number of adults.
If 281 people entered the park, we can write the following equation
x + y = 281
If they collected 684 dollars, we can write the following equation
1.5x + 4y = 684
because it cost $1.5 for children and $4 for adults.
Now, we have the following system of equations
x + y = 281
1.5x + 4y = 684
First, we need to solve the first equation for y, so
x + y = 281
x + y - x = 281 - x
y = 281 - x
Then, replace this expression on the second equation
1.5x + 4y = 684
1.5x + 4(281 - x) = 684
1.5x + 4(281) - 4(x) = 684
1.5x + 1124 - 4x = 684
-2.5x + 1124 = 684
Finally, we can solve the equation for x
-2.5x + 1124 - 1124 = 684 - 1124
-2.5x = -440
-2.5x/(-2.5) = -440/(-2.5)
x = 176
So, the value of y is equal to
y = 281 - x
y = 281 - 176
y = 105
Therefore, they admitted 176 children and 105 adults.
If A and B are two disjoint sets with
n(A) = 4 and n(B) = 2, then
n(A −B) =
2
Step-by-step explanation:
n(A-B)
n(4-2)
n(2)
Therefore n(A-B)=2
during a span of 2 hours , lalia played her video games for 50 minutes . what percentage of time was spent on the game
Total time = 2 hours
Time playing video games = 50 minutes
We have to write an equation:
Total time (2hours) multiplied by the percentage in decimal form (x) must be equal to 50 minutes
Time must be in the same unit ( minutes)
since 60 minutes =1 hour
2 hours = 2 (60) =120 minutes
Back with the equation:
120 x = 50
Solving for x
x = 50/120
x = 0.42
In percentage form:
0.42 x 100 = 42%
If you love codes answer this question!
Answer:
Is it B
Step-by-step explanation:
Convert 72 weeks into hours.
Suppose demand, d, for a company’s product at cost, x, is predicted by the function ()=−.+,d of open x close equals negative , 0.25 , , x squared , plus , 1,000, and the price, p, that the company can charge for the product is given by ()=+. Find the company’s revenue function.
Enter your answer.
This company’s revenue function is given by −0.25x³ - 4x² + 1000x + 16,000.
How to determine company's revenue function?Mathematically, the amount of revenue that's being generated by a company or business organization can be calculated by using the following function (expression):
Revenue = price × demand
R(x) = p(x) × d(x)
The demand (d) for this company’s product at cost (x) is given by this demand function:
d(x) = −0.25x² + 1,000
Also, the price (p) in dollars that this company can charge for its product is given by this price function:
p(x) = x + 16
Substituting the parameters into the revenue function, we have;
Revenue function, R(x) = p(x) × d(x)
Revenue function, R(x) = (−0.25x² + 1,000) × (x + 16)
Revenue function, R(x) = −0.25x³ - 4x² + 1000x + 16,000.
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Complete Question:
Suppose demand, d, for a company's product at cost, x, is predicted by the function, d(x) = −0.25x² + 1,000, and the price, p, that the company can charge for the product is given by p(x) = x + 16. Find the company's revenue function.
Mai is riding her bicycle she rides at a speed
ANSWER
[tex]3.2hours[/tex]EXPLANATION
Given;
[tex]\begin{gathered} speed=\frac{8km}{hr} \\ distance=25.6km \end{gathered}[/tex]Recall;
[tex]\begin{gathered} time=\frac{distance}{speed} \\ =\frac{25.6}{8} \\ 3.2 \end{gathered}[/tex]Therefore, the time taken is 3.2hours.
Find the value of each variable
what is the slope of a line perpendicular to the line whose equation is 15x + 12y = -108
First, rewrite the equation in its slope intercept form:
(slope intercept form: y = mx + b where m = slope ; b = y-axis intercept)
15x + 12y = -108
Subtract 15x from both sides:
15x + 12y - 15x = -108 - 15x
12y = -108 - 15x
Divide both sides by 12:
12y/12 = (-108 - 15x)/12
y = -5x/4 - 9
As you can see the slope of this line is -5/4
Now, two lines are perpendicular if:
m1*m2 = -1
Where:
m1 = Slope of the line 1
m2 = Slope of the line 2
m1 in this case would be -5/4
so:
-5/4* m2 = -1
Solving for m2:
m2 = -1/(-5/4) = 4/5 = 0.8
Find the value of x that will make A||B.
X = ?
Answer:
x = 12
Step-by-step explanation:
Since they are opposite exterior angles, they are congruent, so you set them equal to each other
5x = 4x + 12
- 4x - 4x
x = 12
For A and B to be parallel then the angle (4x+12)⁰ and the angle opposite to angle (5x)⁰ should be equal since the two are congruent to each other.
therefore
5x = opposite angle=(4x+12)
=> 5x=(4x+12)
=>5x-4x= 12
therefore
X =12⁰
Will give brainliest
A family purchased tickets to a museum and spent a total of $38.00. The family purchased 4 tickets. There was a $1.50 processing fee for each ticket. Write and solve an equation that can be used to find x, the cost of one ticket to the museum.
answer:
8.00 dollars
Step-by-step explanation:
4 x 1.50 = 6.00
38,00 - 6.00 = 32.00
32.00 divided by 4= 8.00
a recipe calls for 40 ounces of rice. how many grams of rice dose the recipe require
Answer:
1133.98
almost 1134 grams :)
Step-by-step explanation:
multiply by 28.35 to get the answer :)
Answer:
1133.98
Step-by-step explanation:
Hope it helps and have a nice day!!!!! :)
BRAINIEST IS APPRECIATED!!!
A hockey player takes a shot 20 feet away from a 5-foot goal. If the puck travels at a 15° angle of elevation toward the center of the goal, will the player score?
EXPLANATION
Let's see the facts:
shoot = 20 feet
goal = 5 foot
Let's draw the statement:
Since we are finding the side opposite the given angle and know the side adjacent, we can use the Pythagoras Theorem to find the needed value.
[tex]\text{Tan=}\frac{Opposite}{\text{Adjacent}}[/tex]Replacing terms:
[tex]\text{Tan 15}=\frac{x}{20}[/tex]Isolating x:
[tex]20\cdot\text{Tan 15= x}[/tex]Switching sides and simplifying:
[tex]x=5.35\approx5.4[/tex]The player will not score because 5.4 is greater than 5
A dozen ears of corn for $5. find the unit rate
Miguel is going to see a movie and is taking his 5 kids. Each movie
ticket costs $12 and there are an assortment of snacks available to
purchase for $5 each. How much total money would Miguel have to
pay for his family if he were to buy 5 snacks for everybody to share?
How much would Miguel have to pay if he bought a snacks for
everybody to share?
Total cost with 5 snacks:
Total cost with a snacks:
Pls give me a good answer
The total cost for 6 movie tickets and 5 snacks is $97
The total cost for 6 movie tickets and x snacks is $(72 + 5x)
Given,
Miguel is going to see a movie with his 5 kids.
Number of people = 6
Cost for one ticket = $12
Cost of one snack = $5
Number of snacks = 5
We have to find the total cost spend by Miguel:
For tickets and 5 snacks:
For tickets and x snacks:
Now,
Total cost for tickets = 6 × 12 = $72
Cost for 5 snacks = 5 × 5 = $25
Therefore,
Total cost = 72 + 25 = $97
Next,
Cost for x snacks = 5x
Then,
Total cost = 72 + 5x
That is,
The total cost for 6 movie tickets and 5 snacks is $97
The total cost for 6 movie tickets and x snacks is $(72 + 5x)
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PLSSSSSSSSS HELP DUE SOON!!!
The problem can be modeled with the linear equation:
2c - 1.5 = 6
Where c is the old amount of chips.
So the correct option is the last one.
Which is the correct expression?First, let's define the old amount as the variable "c".
1.5 less than twice the old amount is then written as:
2c - 1.5
And the total text says:
"1.5 less than twice the old amount is equal to 6"
So we have an equation, that equates the above expression and the number y, so we can write the linear equation:
2c - 1.5 = 6
This is the last option
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Help da brother out.
Answer:
top: y=f(x)=-2x+5
middle: y=4x
last: y=(9/2)x-3
if the textbook committee makes a histogram of the sample data and it is single-peaked with no outliers, are the conditions of randomness and normality of the population met for this test?
Yes, conditions of randomness and normality of the population met for this test.
The textbook committee made a histogram of the sample data, and it was single peaked with no outliers. The conditions of randomness and normality of the population met for this test, the reason is that it was a random sample, and the plot of the sample data has no outliers.
So, yes, conditions of randomness and normality of the population met for this test.
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A technical machinist is asked to build a cubical steel tank that will hold 415 L of water.Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.001 m.
we have
1 cubic meter = 1000 L
x cubic meter = 415 L
then:
[tex]\begin{gathered} 1000\times x=415\times1 \\ 1000x=415 \\ \frac{1000x}{1000}=\frac{415}{1000} \\ x=0.415 \end{gathered}[/tex]The volume of a cube with length x is:
[tex]\begin{gathered} x^3=0.415 \\ \sqrt[3]{x^3}=\sqrt[3]{0.415} \\ x=0.746 \end{gathered}[/tex]answer: The smallest possible inside length of the tank is 0.746 m
There are 840 tickets available for a concert.
1/7 of these tickets have not been sold.
How many of the tickets have been sold?
Answer:
720
Step-by-step explanation:
If 1/7 of the tickets have not been sold, 6/7 of the tickets have.
840 * 6/7
720
Which line is perpendicular to a line that has a slope
of 1?
Oline MN
Oline AB
Oline EF
Oline JK
JK is perpendicular to a line that has a slope
What is Slope?
The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).
Two lines, L1 and L2, with slopes m1 and m2 are perpendicular if
m1 x m2 = -1.
In our case m1 = 1
1 x m2 = -1
m2 = -2
so the slope of the perpendicular line is -2.
( -2 x (1) = -1).
As x increases, the line with a slope of -2 increases. Line JK is the only line displayed that fits this. Line AB cannot be the solution because it is "falling" as x grows.
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2x^2+13x--24=0 solve for x
Answer:
0
Step-by-step explanation:
Rectangle TUVW with vertices
T(-3,-1), U(0, -2), V(-2, -8), and
W(-5, -7): 90° counterclockwise
T':
U':
V':
W':
for given rectangle TUVW with vertices T(-3,-1), U(0, -2), V(-2, -8), and W(-5, -7): 90° counterclockwise rotation would be,
T': (1, -3)
U': (2, 0)
V': (8, -2)
W': (7, -5)
In this question, we have been given a rectangle TUVW with vertices
T(-3,-1), U(0, -2), V(-2, -8) and W(-5, -7)
We know that for 90° counterclockwise rotation is (x, y) becomes (-y, x)
so, the coordinates of T' would be,
T' = (1, -3)
the coordinates of U' would be,
U' = (2, 0)
the coordinates of V' would be,
V' = (8, -2)
the coordinates of W' would be,
W' = (7, -5)
Therefore, for given rectangle TUVW with vertices T(-3,-1), U(0, -2), V(-2, -8), and W(-5, -7): 90° counterclockwise rotation would be,
T': (1, -3)
U': (2, 0)
V': (8, -2)
W': (7, -5)
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Please explain how to get the answer.
The area of the given diagram is 270sq.metre
What is Area of Rectangle?The area of Rectangle is length times of width.
In the given figure there we can see three rectangles.
Let us divide each length to three parts.
The length 27m is divided into 3 we get
27/3=9m.
Hence each rectangle has 9m of length.
The width 30m is divided into 3 parts we get,
30/3=10m.
Hence area of each rectangle is 9×10=90 sq. m
Total area of diagram will be
3 times of 90.
270 sq.m.
Hence the area of the given diagram is 270sq.metre
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Which of the following could be the first step when solving the equation 4-3(x+6)=28
Answer:
I don't know the options, but the first step would definitley be distributing the -3 over the parantheses --> -3x - 18
2, What method of data collection would you use to collect data for a study where adrug was given to 10 patients and a placebo to another group of 10 patients todetermine if the drug has an effecton a patient's illness?A) take a censusb) use sampling c) use a simulation d) perform an experiment e) none
I would say that using a survey gives you the perfect way to collect the data you need for the drug effect. So,
a builder appoints three construction workers akash, sunil and rakesh on one of his sites. they take 20, 30 and 60 days respectively to do a piece of work. how many days will it take akash to complete the entire work if he is assisted by sunil and rakesh every third day?
It will take 15 days for Akash to complete the entire work if he is assisted by Sunil and Rakesh every third day.
To determine the number of days, we first represent the number of days to do a piece of work by each one of them in fractions as follows;
Fraction of work completed by Akash in 1 day = 1/20
Fraction of work completed by Sunil in 1 day = 1/30
Fraction of work completed by Rakesh in 1 day = 1/60
The total work done in 1 day can be given as;
Total work done by the three in one day = [(1/20) + (1/30) + (1/60)] = 1/10
Work done by Akash in two days = 2 × (1/20) = 2/20 = 1/10
The work done in three days (1 day of all three together + Work done by Akash in two days) = (1/10) + (1/10) = 1/5
Therefore; the total work done in 3 days = 1/5
At this rate, the total number of cycles required to finish the work =
(1) ÷ (1/5) = 5
Since each cycle has three days, the total number of days required to finish the work can be calculated as follows;
5 × 3 = 15 days
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What is output by the following code? Select all that apply.
c = 2
while (c < 12):
print (c)
c = c + 3
Step-by-step explanation:
that is not mathematics, and I am not sure, if you listed everything, but the result to such a loop is
25811
because it first prints the Imuran content of c (2).
then it increases the content of c by 3. c is now 5
then it checks that 5 is still smaller than 12 (yes it is), and it prints 5.
then it prints 8. then 11. and then c becomes 14 and is therefore larger than 12. and the loop ends.
I don't know what your particular print command does, but I assume it is just a basic "bring the parameter to output". in that case it will write all numbers right after the previous number.
hence : 25811
1) Which situation could the integer -50 represent?
A) An increase of $50 in a bank account
B) The temperature on a warm fall day
C) The distance driven on the way to the beach
D) A decrease of 50 employees