Answers
Answer:
The equation of the elipse is
[tex]\frac{x^2}{169} + \frac{y^2}{25} = 1[/tex]
Step-by-step explanation:
Equation of an elipse:
The equation of a elipse with centre [tex](x_c,y_c)[/tex] has the following format:
[tex]\frac{(x - x_c)^2}{a^2} + \frac{(y - y_c)^2}{b^2} = 1[/tex]
Centre at (0,0):
Means that [tex](x_c,y_c) = (0,0)[/tex].
So
[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1[/tex]
Vertex at (13,0):
Vertex at 13 means that [tex]a = 13, a^2 = 13^2 = 169[/tex]
Focus at (-12,0):
Means that [tex]c = 12, c^2 = 12^2 = 144[/tex]
We have that:
[tex]a^2 = b^2 + c^2[/tex]
So
[tex]169 = b^2 + 144[/tex]
[tex]b^2 = 25[/tex]
So, the equation of the elipse is
[tex]\frac{x^2}{169} + \frac{y^2}{25} = 1[/tex]
Related Questions
Sandy’s Sandwich Shop has both inside and outside seating for customers. Last month, the restaurant had 4,668 customers altogether. A total of 11 times as many people sat inside than outside. How many customers sat inside the restaurant last month?
Answers
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.
The number of customers who sat outside is 389.
The number of customers who sat inside is 4279.
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,
Total number of customers = 4,668
Number of customers who sat outside = x
Number of customers who sat inside = 11x
Now,
x + 11x = 4,668
12x = 4,668
x = 389
11x = 11 x 389 = 4279
Thus,
The number of customers who sat outside is 389.
The number of customers who sat inside is 4279.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
What is the equation of the given line? (-4,3) (2,-3)
Answers
Answer:
y=-x-1
Step-by-step explanation:
Y = 2x -3
The Maryland State Department of Education reports that 12% of the high school students in that state attend private high schools. The University of Maryland wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend private schools. They select a random sample of 450 applications, and find that 46 of those students attend private schools.
Answers
The question is incomplete. Here is the complete question.
The Maryland State Department of Education reports that 12% of the high school students in that state attend private high schools. The University of Maryland wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random sample of the over 10,000 application on file to estimate the percentage of students applying for admission who attend private schools. They select a random sample of 450 applications, and find that 46 of those students attend private schools. Create and interpret a 95% confidence interval.
Answer and Step-by-step explanation: Th proportion of students that attend private schools in the sample is
[tex]p=\frac{46}{450}[/tex]
p = 0.102
At 95% confidence, z-score is 1.96.
Standard deviation for sample proportion is calculated as
[tex]\sigma = \sqrt{\frac{p(1-p)}{n} }[/tex]
For this sample, it will be
[tex]\sigma = \sqrt{\frac{0.10(1-0.1)}{450} }[/tex]
[tex]\sigma=\sqrt{0.0002}[/tex]
[tex]\sigma=0.01414[/tex]
Interval is calculated as
p ± zσ
Then
0.102 ± 1.96(0.01414)
0.102 ± 0.028
Interval is 0.074 < p < 0.13
What confidence interval means is that with a certainty of 95%, we are confident that the true population proportion of students who attend private schools are between 0.074 and 0.13.
When graphed, will the line x - 2y = 6 be
parallel, perpendicular or neither to a line that
passes through the points (5,2) and (3,6)?
Answers
Answer:
Step-by-step explanation:
Slope of x-2y=6 is ½.
Slope of line through (5,2) and (3,6) = (6-2)/(3-5) = -2
The two slopes are negative reciprocals of each other (i.e., their product is -1), so the two lines are perpendicular.
Find the slope given: (3, -10) & (4, -21)
m =
Answers
Answer:
[tex]\displaystyle m=-11[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, -10)
Point (4, -21)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-21+10}{4-3}[/tex][Fraction] Add/Subtract: [tex]\displaystyle m=\frac{-11}{1}[/tex][Fraction] Divide: [tex]\displaystyle m=-11[/tex]does anybody know the answer, 356.23 + 13.28
Answers
Answer:
369.51
Step-by-step explanation:
356.23 + 13.28
13 + 356 = 369
.28 + .23 = .51
= 369.51
hi!
Answer:
369.51
Step-by-step explanation:
356+13= 369
0.23+0.28=0.51
369+0.51=369.51
A tomato plant grows 24 inches tall in 10 weeks. If the rate remains the same, how tall would the plant be after 7 weeks?
Answers
Answer:
168 inches which is also 14 feet
Brainliest if you answer the question and 30 points
Answers
Answer:
-2.2, -1 7/10, 1.7, 3 1/4
Answer:
-2.2, -1 7/10, 1.7, 3 1/4
Step-by-step explanation:
What is the purpose of the air in air hockey?
Answers
Answer:
A fan within the center of the table blows air through these holes in order to allow the puck to quickly glide across the table surface. This movement of air is the reason why we call the sport "air" hockey vs. just table hockey. There are two holes at opposite ends of the table that make up a goal.
Step-by-step explanation:
Rafael is building a circular table with a radius of 1.75 feet. The wood costs $32.50 per square foot. How much will it cost Rafael to make the table?
Answers
Answer:
so um your answer is in step by step
Step-by-step explanation:
I assume you just want to calculate the cost of making a circle with a diameter of 2.5 feet.
The area of a circle can be calculated using the following formula: A = pi * r2
The radius of a circle is half of the diameter. For this problem, the radius will be 2.5 / 2 or 1.25 feet and pi is 3.14
Then the area will be : A= 3.14 * 1.252
A= 3.14 * 1.5625 = 4.90625 ft2
If each square foot cost $32.50, then the wood will cost $32.50 * 4.90625 = $159.45
If the simple interest on $4,000 for 7 years is $1,400
Answers
Answer: $5400
im assuming you want the total cost?
4000+1400=5400
Answer:
Step-by-step explanation:
Simple interest is
I=Prt where P= principle, r=rate, t=time
r=I/(Pt)
r=1400/(4000(7))
r=0.05
r=5%
Why I'm so happy today?
Answers
Answer:
ldk and I'm jealous
Step-by-step explanation:
Thanks for the free points, and have a nice day! :)
(6th grade)
i would really appreciate if someone could help me, and tell me how you got the answer, along with the steps !!
Answers
Answer:
-4
Step-by-step explanation:
-8×-8/-8+-8
-8•(-8)/-16
-8•8/16
-8/2
-4
Two students have a bitter disagreement about the answer to a homework question and decide to settle their differences in a duel at the golf cours. The rules of the duel are simple:
Each student takes a single shot from the 18th tee. If only one student's shot lands on the green, that student is declared the victor and the duel is over. If both students' shots land on the green, the result is a draw and the duel is over. If they both miss the green, then they repeat another round (and so on) until the duel ends in a draw or with a victor. The result of each tee shot is independent. Student A has not spent much time at the golf course, resulting in a 0.55 probability that her tee shot will hit the green. Student B golfs regularly, resulting in a 0.76 probability that his tee shot will hit the green.
Required:
a. Whatâs the probability that the duel ends in round 1?
b.Whatâs the probability that the duel ends in the 3rd round?
c. Whatâs the probability that the duel ends in a draw (i.e., that neither student wins)?
Answers
Answer:
a.) P(duel end in round 1 ) = 0.892
b.) P(duel ends in the 3rd round) = 0.010
c.) P(duel ends in a draw) = 0.418
Step-by-step explanation:
Let
P(A) - Probability that Student A will hit the green.
P(¬A) - Probability that Student A will miss the green.
P(B) - Probability that Student B will hit the green.
P(¬B) - Probability that Student B will miss the green.
Given,
P(A) = 0.55 , P(B) = 0.76
As we know that,
P(A) + P(¬A) = 1
⇒P(¬A) = 1 - P(A)
= 1 - 0.55
= 0.45
⇒P(¬A) = 0.45
And
P(B) + P(¬B) = 1
⇒P(¬B) = 1 - P(B)
= 1 - 0.76
= 0.24
⇒P(¬B) = 0.24
So, we get
P(A) = 0.55 , P(B) = 0.76
P(¬A) = 0.45, P(¬B) = 0.24
a.)
P(duel end in round 1 ) = P( both hit on green or only one hit on green )
= P(A).P(B) + [ P(A).P(¬B) + P(¬A).P(B) ]
= 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ]
= 0.418 + [ 0.132 + 0.342 ]
= 0.418 + [ 0.474 ]
= 0.892
⇒P(duel end in round 1 ) = 0.892
b.)
P(duel ends in the 3rd round) = P( duel miss green in 1st round × duel miss green in 2nd round × both hit on green or only one hit on green in 3rd round )
= [ P(¬A).P(¬B) ] × [ P(¬A).P(¬B) ] × { P(A).P(B) + [ P(A).P(¬B) + P(¬A).P(B) ] }
= [ 0.45(0.24) ] × [ 0.45(0.24) ] × { 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ] }
= [ 0.108 ] × [0.108] × { 0.418 + [ 0.132 + 0.342 ] }
= 0.011664 × 0.892
= 0.010404 ≈ 0.010
⇒P(duel ends in the 3rd round) = 0.010
c.)
P(duel ends in a draw) = P(both students' shots land on the green)
= P(A).P(B)
= 0.55(0.76)
= 0.418
⇒P(duel ends in a draw) = 0.418
A manager uses the following equation to predict monthly receipts: Y-450-10 Lt time in weeks and y = receipts.) What is the forecast for July 14th ift=4 is the fourth week in January and t = 6 is February 14th of the same year (assume there are 4 weeks in each month)?
a. 690
b. 710
c. 730
d. 750
A major reason that decision making is often not such a rational process is that there are: Suppose we have H0:µ1= µ2 versus HA: µ1 ≠ µ2, with level of significance of α =.05 and critical values of zα/2 = ± 1.96, and the computed Test Statistics value of Z = -1.07. What is our decision?
Answers
Answer:
b. 710
Fail to reject H0
Step-by-step explanation:
Forecast for July 14 :
Assume there are 4 wwwks in each month :
January to June = ( 4 * 6 months) = 24 weeks in 6 months ;
July - July 14 = 2 weeks :
2 + 24 = 26 weeks
The model given :
Y = 450 + 10t
Y = 450 + 10(26)
Y = 450 + 260
Y = 710
2.)
Test is a 2 tail test :
Zstatistic = - 1.07
At 95% confidence = ±1.96
Zcritical = - 1.96
Hence,
Reject H0 if ;
Zstatistic < Zcritical
-1.07 > 1.96
Hence, fail to reject H0.
Enter your answer in simplest form.
4 ×
3
5
=
Answers
4 · 35 = 140
Hope this helps! Good luck. :)
Answer: since they're stacked, i cant tell if that's a fraction or decimal, or just whole numbers so...
4 times 35 = 140
4 times 3/5 = 2 2/5
4 times 3.5 = 14
Step-by-step explanation:
Marie made the box plot below to display a set of data. Which set of data could the box plot
represent?
Answers
Answer:
(5, 6, 10, 12, 13, 15, 17, 25, 30, 35) would be your best answer.
Step-by-step explanation:
The Smith family had a meal catered for a wedding rehearsal dinner. The cost of the dinner was $325. There is 6% sales tax and they left a 20% tip. What was the total cost of the dinner?
Answers
Answer:
409.5
Step-by-step explanation:
I need help bad my teacher do not teach me this
Answers
Answer:
i will help you
Step-by-step explanation:
do you have a picture of the assignment? or can you post a picture of it?
Answer:
I can help as well.
Step-by-step explanation:
You did not post a picture my friend. And, all of our teachersr are bad.
Brainliest :)
(Score for Question 3: ___ of 5 points)
(a) Order the popularity of the choices from greatest to least.
(b) It was estimated that 280 people were going to vote. If this was true, how many people would have voted for Goron? Show your work.
(c) 40 people voted for “Other.” Was the estimate of total voters from Part (b) accurate? Explain.
this is for k12 so click off if u dont have an answer or ill report
Answers
Goron should get 98 votes
The question breaks down to taking 35% of 280.
Votes = 35/100 * 280 = people who will vote for Goron
Votes = 9800 / 100 = people who will vote for Goron.
Votes = 98
Order of operations. Need to find the unknown number. Help?
8 + 2 x 5 = m
9 - 7 + 2 = k
7 x 8 - 6 = g
16 + 4 divide 2 = s
12 - 6 divide 2 = y
36 divide 6 + 13 = f
Answers
Answer:
m = 18
k = 4
g = 50
s = 18
y = 9
f = 19
Step-by-step explanation:
K = 4
G = 42
S = 18
Y = 9
F = 19
Craig treated his sister to lunch while visiting her in Campbell. Their lunch cost $40, and the sales tax in Campbell is 5%. If Craig left a 15% tip on the $40, how much in total did he pay?
Pleasee give correct
Answers
Answer:
$48
Step-by-step explanation:
5% of 40 = 2 and 15% of 40 = 6. 6 + 2 = 8. 40 + 8 = $48.
A survey is taken to figure out the average temperature across all cities in the United States on a particular day. In 10 randomly chosen states, 40 cities are chosen to record the temperature. Which sampling method describes this situation?
a. convenience
b. cluster
c. random
d. stratified
Answers
Answer: Random
Step-by-step explanation:
Answer:
systematic sampling
Step-by-step explanation:
Aka, C random selection
find the value of x
a. 4
b. 9
c. 18
d. 14
Answers
The degree has to equal 180 so 180-140=40 40=(10)(4)
Answer:
4
Step-by-step explanation:
We know that this is a supplementary angle, which means the sum of two angles is 180 degrees.
The Equation would then be:
140+10x=180
All you need to do is solve for x.
140+10x=180
-140 -140 (Subtract 140 from both sides)
10x=40 (Divide by 10)
x=4
(x - 1) (x – 12) = 0
What’s the value of X?
Answers
Answer:
either 1
or 12
(sorrryy if its not correct:( )
Step-by-step explanation:
What is the m<3?
m<3 =
Answers
Answer:
105°
Step-by-step explanation:
< 3 = 50° + 55° { exterior angle of a triangle is equal to the sum of two opposite interior angles }
<3 = 105°
STAAR
2. Sharon is buying a circular rug for her living room. The diameter of the rug is 8 feet.
Which measurement is closest to the area of the rug in square feet?
A 200.96 square feet
B. 50.24 square feet
C. 25.12 square feet
D. 12.56 square feet
Answers
Answer:
B.50.24
8ft is equivalent to 64ft²
Answer:
50.24
Step-by-step explanation:
An airplane travels 2,350 miles in 5 hours. Theo did this work to find the unit rate.
Rate = StartFraction 2,350 miles Over 5 hours EndFraction. Unit rate = 470 miles per hour.
What should you do next to find out how far the airplane traveled in 3 hours?
divide 470 by 3
divide 2,350 by 3
multiply 470 by 3
multiply 2,350 by 3
Answers
Answer:
Step-by-step explanation:
Answer: On Edge this is the answer.
HELP ME PLEASE PLEASE PLEASEEEEE
Answers
Answer:
B) 14/3 > sq rt 8
Step-by-step explanation:
proof:
14/3=4.67
sq rt 8=2.83
4.67>2.83
The answer is A ........
let BC be the vector with the given initial and terminal points. write BC as a linear combination if B(3,-1) and C(4,-7)
7i-8j
12i+7j
-i+6j
i-6j
Answers
Answer:
depends
Step-by-step explanation:
see it really does show