( -4, 3 ) ; m = 2 Write the equation of the line in point-slope form that passes through the given point with the given slope
[tex] \large \boxed {y - y_1 = m(x - x_1)}[/tex]
Substitute the coordinate point value in the equation[tex]y_1 = 3 \\ x_1 = - 4 \\ m = 2[/tex]
[tex]y - 3 = 2(x - ( - 4)) \\ y - 3 = 2(x + 4)[/tex]
Answer[tex] \large \boxed {y - 3 = 2(x + 4)}[/tex]
A 300 room hotel can rent every one of its rooms at $80 per room. For every $1 increase in rent, 3 fewer rooms are rented.
How much should the hotel charge for each room to maximize its daily revenue? What is the maximum daily revenue?
Answer:
The hotel charge for each room to maximize its daily revenue and the maximum daily revenue is explained below in details.
Step-by-step explanation:
So for every $1 hike in price, the number of rooms goes underneath by 1.
So the earnings can be displayed by R(x) = (300-x)(80+x)
From that, you require to subtract 22(300-x) since it takes $22 per occupied room.
AND there is a framed cost of $1000 per day.
So your profit function is P(x) = (300-x)(80+x) - 22(300-x) - 1000
Simplified, this is P(x) = -x2 +242x + 16400.
P'(x) = -2x + 242 Set it = to 0
x = 121 which displayed the number of unoccupied rooms.
P(121) = -14641 + 29282 + 16400 = $31041
You can verify by computing P(120) and P(122) which both even $31040.
Hope this helps.
help me to solve this please
Answer:
-4/9
Step-by-step explanation:
We first calculate the first bracket.
[2/3-(-4/9)]
= (2/3+4/9) (we cancel out the negatives)
= (6/9+4/9) (common denominator)
= 10/9
Then we convert -2 1/2 into an improper fraction.
-2 1/2
= -5/2
Finally we calculate the division by swapping the numerator and denominator of -5/2.
10/9 / -5/2
= 10/9 * -2/5
= -20/45
= -4/9 (simplify the terms)
The Census Bureau says that the 10 most common surnames in the United States are, in order, Smith, Johnson, Williams, Brown, Jones, Miller, Davis, Garcia, Rodriguez, and Wilson. These names account for 9.6% of all U.S. residents. Suppose you look at the authors of the textbooks for your current courses and find that there are 8 authors in total. What is the probability that none of the 8 surnames of these authors were among the 10 most common
Answer:
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
Step-by-step explanation:
For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution 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.
These names account for 9.6% of all U.S. residents.
This means that [tex]p = 0.096[/tex]
8 authors in total.
This means that [tex]n = 8[/tex]
What is the probability that none of the 8 surnames of these authors were among the 10 most common
This is [tex]P(X = 0)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]
0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common
draw a model of 100oz of soda divided equally among 12 students. How many oz will each person have?
A game of chance involves spinning a wheel with 4 number on it. The wheel is designed so that the result of each spin Xhas the following probability distribution. 2 3 Result of a spin .x Probability : 0.50
(a) Find and interpret the mean of X.
(b) Find and interpret the standard deviation of x.
(c) It costs a player $5 for a single spin. The player will receive (in dollars) three times the number that appears. So the profit for one play of this game is Yeur 5. What is the mean and standard deviation of 7
Distribution table :
X : ___ 1 _____ 2 _____ 3 ______ 4
P(x) __0.50 __0.25 __ 0.15 ____ 0.10
Answer:
1.85 ; 1.014 ;` 0.55 ; 3.042
Step-by-step explanation:
Probability distribution :
X : ___ 1 _____ 2 _____ 3 ______ 4
P(x) __0.50 __0.25 __ 0.15 ____ 0.10
The mean: E(x) = Σ(X * p(x))
(1*0.5) + (2*0.25) + (3*0.15) + (4 *0.10)
= 1.85
Standard deviation = sqrt(Var(x))
Var(x) = Σ(x²*p(x)) - E(x)²
Var(x) = ((1^2*0.5) + (2^2*0.25) + (3^2*0.15) + (4^2 *0.10)) - 1.85^2
= 4.45 - 3.4225
= 1.0275
Standard deviation = sqrt(1.0275)
Standard deviation = 1.0136567
Standard deviation(X) = 1.014
3.)
Cost of spin = $5
Amount, y to be received = 3 times the number that appears
y = 3x - cost of playing
y = 3x - 5
E(y) = E(3x - 5)
E(y) = E(3x) - 5
Recall :E(x) = 1.85
E(y) = 3(1.85) - 5
E(y) = 0.55
Standard deviation :Sd(y) =
Sd(3x - 5)
3(1.014)
= 3.042
find the area hurry plz
Answer:18
Step-by-step explanation: 6x3
the formula for area: parallelogram
What expressions are equivalent to -4/3 p -2/5
Answer:
-3/6
Step-by-step explanation:
integer rules
2.550 gallons in 30 days?
Answer:
85 gallons a day.
Step-by-step explanation:
that's if you mean 2,550 and how many gallons a day you fill a pool for example. but that's a guess for the question.
another math problem.(after hr finished breakfist, Mr.Edwards left for work at fifteen minutes after seven What time is this?) btw use P.M. or A.M.
Answer:
7:15 AM
Step-by-step explanation:
Answer:
It's 7.15 A.M.
Step-by-step explanation:
You mentioned breakfast and people do go to work in the morning so it is A.M.
Hope this helps you
PLS RATE AS BRAINLIEST ANSWER
please help me asap will give brainliest
Step-by-step explanation:
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
So the smallest angle is <P.
Hope it may help :)..
2(3−8y)= i need help someone
Answer:
6-16y
Step-by-step explanation:
Distribute
2*3
2*-8y
6-16y
Answer:
this is the answer 2 • (3 - 8y)
Step-by-step explanation:
Find the 8th term in the following sequence.
32, 16, 8, 4, ..
02
O 114
O 1/2
O 1
What is the base in the following expression?
Answer: A. 4
Step-by-step explanation: The base number is 4 and the exponent is 5. Hope this helps ^-^.
A subway train arrives at the station every 9 minutes. You have a doctor’s appointment near the station,
so you take the subway and arrive at 10:06. You are finished with your appointment at 11:44.
When will the next subway train arrive at the station?
The next train will arrive at
Answer:
THE swords men and archer men will take over
Step-by-step explanation:
Solve the proportion ASAP help do both questions
Answer:
7. 4
8. 7
Step-by-step explanation:
7. [tex] \frac{1}{2} = \frac{x}{8} [/tex]
Cross multiply
[tex] 1*8 = x*2 [/tex]
[tex] 8 = 2x [/tex]
[tex] \frac{8}{2} = \frac{2x}{2} [/tex] (division property of equality)
[tex] 4 = x [/tex]
[tex] x = 4 [/tex]
8. [tex] \frac{3}{x - 3} = \frac{6}{8} [/tex]
Cross multiply
[tex] 3*8 = 6(x - 3) [/tex]
[tex] 24 = 6x - 18 [/tex]
[tex] 24 + 18 = 6x [/tex] (addition property of equality)
[tex] 42 = 6x [/tex]
Divide both sides by 6
[tex] 7 = x [/tex]
[tex] x = 7 [/tex]
Rounded to three decimal places, what is the value of r for this data set?
Variable x 8 15 3 7 2 14
Variable y 15 21 6 12 3 20
Choices:
A. 0.950
B. 0.938
C. 0.880
D. 0.981
help this is a hard question...
BRAINLIEST
PLEASE LEAVE A SMALL EXPLANATION AND ILL MARK BRAINLIEST :)
Kim’s bedroom is 13 feet long by 11 feet wide what is the area of her bedroom
Answer:
143
Step-by-step explanation:
multiply the 2 together
plz brainliest!
The area of her bedroom is 143 square feet.
What is area of rectangle?The area of rectangle is product of its length to its width.
i.e., Area of rectangle= length x width
Given:
length = 13 feet
width = 11 feet
so, Area of rectangle = length x width
= 13 x 11
= 143 square feet.
Hence, the area of her bedroom is 143 square feet.
Learn more about area of rectangle here:
https://brainly.com/question/20693059
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Give each a sum or difference:
a. -12+4=
b. -4+1=
c. 4 - 12=
d. 4+12=
Standard form of y=7x+10
Answer: 7x-y=10
Step-by-step explanation:
Is this graph and example of a sin or cos graph?
Answer:
Sine
I think
Step-by-step explanation:
The graph of the cosine is the darker curve; note how it's shifted to the left of the sine curve. The graphs of y = sin x and y = cos x on the same axes. . .. You probably noticed that these cofunction identities all use the difference of angles, but the slide of the sine function to the left was a sum.
The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
A forest covers 31,000 acres. A survey finds that 0.2 % of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
There are 62 acres of old growth trees
Step-by-step explanation:
You would need to find 0.2% of 31,000
Lets say 0.2% of 31,000 is Y
Y = 0.2/100
Y = 0.2 ÷ 100 x 31,000
Y= 62
HELP MEEEEE this is so harddd. the picture is above.
Answer:
A)
Step-by-step explanation:
V=1/3([tex]\pi[/tex]r²)h
3* V=1/3(πr²h)*3 to get rid of the 1/3 on that side
3V/(πr²)=(πr²)h/(πr²) to get rid of the πr² on the other side(they cancel out)
3V/(πr²)=h is the final answer so that matches A
What is the coefficient in the following expression?
5a2-7
Answer:
5
Step-by-step explanation:
coefficeint is the number before the variable
Please help!!! Will give brainliest!!!
Answer:d
Step-by-step explanation:
Both aren’t related But they do have some impact on eachother
Does anyone know which one is the right answer
Answer:
Number 2 is incorrect
Step-by-step explanation:
The correct answer would be line CA is congruent to line ZX
I REALLY NEED HELP? :,)
Answer:
3/7
Step-by-step explanation:
What is the measure of the angle? Enter the answer in the box.
Answer: Acute angle
Step-by-step explanation:
because it is at a 62 I think angle