PLEASE HELP!!!!!
Which of the following is one of the standard forms of a hyperbola
centered at (h,k)?
Given:
Center of hyperbola is at (h,k).
To find:
The standard forms of a hyperbola.
Solution:
We know that, standard forms of a hyperbola are
1. For Horizontal hyperbola:
[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex]
2. For Vertical hyperbola:
[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]
where, (h,k) is center of the hyperbola.
Therefore, the correct option is B.
A travel agency is advertising a vacation package that includes $250 fora $40a day for hotel. The agency also offers the option of eating breakfast and lunch at the hotel for
$10 a day for the length of the hotel stay.
Answer:
V(d) = 50d + 250 us the answer
The equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that,
A travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.
The agency also offers the option of eating breakfast and lunch at the hotel for $10 a day for the length of the hotel stay.
The equation for the function can be framed as follows:
Per day expense = 40 + 10 = 50
Fixed expense = 250
V(d) = 5d + 250
Thus, the equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.
Learn more about the function here:
brainly.com/question/5245372
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please help asap no trolls!
Answer:
Yes
Using SAS congruent property
Step-by-step explanation:
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 0.2 (to 2 decimal places)
Answer:
69.04
Step-by-step explanation:
Given that:
Mean (m) = 69.0
Standard deviation (s) = 2.8
Zscore = 0.2
Find the corresponding height (x) ;
Using the relation :
Zscore = (x - m) / s
0.2 = (x - 69.0) / 0.2
0.04 = x - 69.0
0.04 + 69.0 = x
69.04 = x
Hence, the height of a man with a Zscore of 0.2 is 69.04
I can't figure this out
Please help!!
Answer: y=-1/3x+5
Step-by-step explanation: I presume they want this in the y=mx+b format where m is the slope (change in y/change in x) of the line and b is the y-intercept (what y is when x is equal to 0). To answer this you need to choose any 2 points on this graph. For simplicity's sake, I'm going to choose (0,5) and (9,2). What's good about choosing (0,5) is that we now know the y-intercept is 5. Now, to find slope, subtract the y coordinate 2 from the y coordinate 5. You now know that the change in y is 3. Then, subtract the x coordinate 9 from the x coordinate 0. You now know that the change in y is -9. Finally, divide 3 (change in y) by -9 (change in x) and you should get -3/9 which can be simplified into -1/3. So now that you have your y-intercept and your slope, all that's left to do in plug it into the format. So your answer should be y=-1/3x+5. Hope this helps you!
omg please help. make sure you put the product of A, the product of B, and the sum for C. it’s in the picture
Answer:
Product for A = 046
Product for B = 0230
Sum for C = 0.0276
Step-by-step explanation:
We need to multiply the terms and find the answers
First we multiply 2 with 0.23, then we multiply 1 with 0.23
0.23
x 0.12
-------------
046
0230
--------------
.0276
Since there are 2 numbers after decimal in 0.23 and same for 0.12, so we place the decimal so that there are 4 decimal places.
Counting of decimal will start from the units place.
So, Product for A = 046
Product for B = 0230
Sum for C = 0.0276
please help me asap
Answer: -18
Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18
Suppose that 28% of the vehicles in a certain town are trucks. A person standing at an intersection waiting for a friend to pick him up. Let X = the number of trucks observed after 20 cars pass the observer. What is the expected value of X?
Answer:
The expected value is 5.6
Step-by-step explanation:
Here, we want to calculate the expected value of x
Mathematically, that will be the probability multiplied by the number of items
In this case, that will be ;
0.28 (28%) * 20 = 5.6
Show 1 1/4 on a number line out of 4
is -12•(-8) negative vaule
Answer:
Yes i think its -96,
if thats what your asking
Find the cost per gallon. 8 gallons of gas for $28.48.
A. $3.50
B. $3.56
C. $3.05
D. $3.65
Answer:
B. $3.56
Step-by-step explanation:
You take $28.48 and divide it by 8
28.48 / 8 = 3.56
/ = divide
The probability that a women likes the color blue is 10%. The probability of being a women is 40%.What is the probability that a person likes the color blue given that they are a woman?
Answer:
The probability that a person likes the color blue given that they are a woman=0.25%
Step-by-step explanation:
We are given that
The probability that a women likes the color blue=10%=[tex]\frac{10}{100}=0.1[/tex]
The probability of being a women=40%=[tex]\frac{40}{100}=0.4[/tex]
We have to find the probability that a person likes the color blue given that they are a woman.
We know that
Conditional probability formula
[tex]P(A/B)=\frac{P(A\cap B)}{P(B)}[/tex]
The probability that a person likes the color blue given that they are a woman
=[tex]\frac{0.1}{0.4}[/tex]
[tex]=\frac{1}{4}=0.25[/tex]
Hence, the probability that a person likes the color blue given that they are a woman=0.25%