Answer:
The probability that the combined sample tests positive for the virus is 0.083
Since the probability that combined sample test positive for the virus is greater than 0.05, it is not likely for such a combined sample to test positive.
The probability that the combined sample will test positive is 0.083
Step-by-step explanation:
Given that:
The probability of a randomly selected adult in one country being infected with a certain virus is 0.003.
P = 0.003
number of blood sample size n = 29
The probability mass function of X is as follows;
[tex]P(X=x) = \left[\begin{array}{c}{29}&x\\\end{array}\right] (0.003)^x (1-0.003)^{29-x}[/tex]
Thus; the required probability is;
[tex]P(X \geq 1) = 1 - P ( X < 1)[/tex]
[tex]P(X \geq 1) = 1 - P ( X =0)[/tex]
[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} \dfrac{29!}{0!(29-0)!} \ \ \times 0.003)^0 \times (1-0.003)^{29-0}}\end{array}\right][/tex]
[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} 1 \times 1 \times ( 0.9166)\end{array}\right][/tex]
[tex]P(X \geq 1) = 1 - 0.9166[/tex]
[tex]P(X \geq 1) = 0.0834[/tex]
Therefore; the probability that the combined sample tests positive for the virus is 0.083
Is it unlikely for such a combined sample to test positive?
P(combined sample test positive for the virus ) = 0.0834
Since the probability that combined sample test positive for the virus is greater than 0.05, it is not likely for such a combined sample to test positive.
The probability of a randomly selected adult in one country being infected with a certain virus is 0.003.
P = 0.003
number of blood sample size n = 29
The probability mass function of X is as follows;
[tex]P(X=x) = \left[\begin{array}{c}{29}&x\\\end{array}\right] (0.003)^x (1-0.003)^{29-x}[/tex]
Thus; the required probability is;
[tex]P(X \geq 1) = 1 - P ( X < 1)[/tex]
[tex]P(X \geq 1) = 1 - P ( X =0)[/tex]
[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} \dfrac{29!}{0!(29-0)!} \ \ \times 0.003)^0 \times (1-0.003)^{29-0}}\end{array}\right][/tex]
[tex]P(X \geq 1) = 1 - \left[\begin{array}{c} 1 \times 1 \times ( 0.9166)\end{array}\right][/tex]
[tex]P(X \geq 1) = 1 - 0.9166[/tex]
[tex]P(X \geq 1) = 0.0834[/tex]
The probability that the combined sample will test positive is 0.083
When I square my number, I get the same answer as when I multiply my number by 10 and then add 144. My number is positive. What is it?
Answer:
your number is 18
Step-by-step explanation:
x^2 = (x × 10 ) + 144
x^2 = 10x + 144
x^2 - 10x - 144 = 0
using quadratic method
your answer should be
(x- 18) ( x+8 )
Work out the value of n 1/4 × √ 2 = 2 n | 1/4 is a fraction
Answer:
n = √2/8
Step-by-step explanation:
1/4 × √ 2 = 2n
√2/4 = 2n
√2 = 4×2n
8n = √2
n = √2/8
The value of n in
[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]
is n = √2 / 8
The given equation is:
[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]
Multiply through by 4
[tex] \sqrt{2} = 4(2n)[/tex]
This can be further simplified as
[tex] \sqrt{2} = 8n[/tex]
[tex] \frac{ \sqrt{2} }{8} = \frac{8n}{8} [/tex]
The like terms cancel out
[tex]n = \frac{ \sqrt{2} }{8} [/tex]
Therefore, the value of n in
[tex] \frac{1}{4} \times \sqrt{2} = 2n[/tex]
is
[tex]n = \frac{ \sqrt{2} }{8} [/tex]
Learn more here: https://brainly.com/question/2956399
Please help i will mark brainliest!
Answer:
A. and C. are true i think :/
Step-by-step explanation:
im not 100% sure though but again, good lucks!
Find the volume of a pyramid with a square base, where the side length of the base is
12.8 in and the height of the pyramid is 20.4 in. Round your answer to the nearest.
tenth of a cubic inch.
Answer:
Volume = 1114.1 [tex]in^3[/tex]
Step-by-step explanation:
Recall that the formula for the volume of a pyramid is given by:
[tex]Volume=\frac{1}{3} \,B\,*\,H[/tex]
where B is the area of the pyramid's base (in our case a square of side 12,8 in), and H the pyramid's height (in our case 20.4 in).
Then the square base of the pyramid has an area given by: [tex](12.8\,\,in)^2=163.84\,\,in^2[/tex]
Finally,we can now write the volume of the pyramid as:
[tex]Volume=\frac{1}{3} \,B\,*\,H\\Volume=\frac{1}{3} \,(163.84)\,*\,20.4\,\,in^3\\Volume=1114.112\,\,in^3[/tex]
Rounding the answer to a tenth of a cubic inch, we get:
Volume = 1114.1 [tex]in^3[/tex]
Consider the system of equations in standard form. 5x + y = 25, x + 5y = –25 Keisha used the graphing calculator and identified the solution as (6, –6). Is she correct? If not, what was her mistake? Yes, Keisha is correct. No. She switched the x and y values No. She only estimated instead of hovering over the intersection to find the exact point. No. She picked a point on one line instead of the intersection point.
Answer:
No. She only estimated instead of hovering over the intersection to find the exact point.
Step-by-step explanation:
I used a graphing tool to graph the two lines. They pass at (6.25, -6.25). Since Keisha said the solution was (6, -6), which is not correct, she has most likely rounded the two values instead of finding the exact one.
Answer:
No. She used the wrong slopes when graphing the equations.
hope this helps i did it in Edge and got it right
mark me brainliest pls
WXY is congruent to CBA, If
Answer:
If they are opposite.
10 points! Please answer within next 5 minutes!
Explain how to use the distributive property to find the product (3)(4 1/ 5)
Answer:
12 3/5
Step-by-step explanation:
Distributive property is when you take a number for example 3 and multiple all of the numbers inside the () in this case 4 1/5
1. multiple 3 by 4 =12
2 multiple3 by 1/5= 3/5
3 write your awnser 4 3/5
Hoped this helped
Identify the lateral area and surface area of a right cone with radius 7 cm and slant height 15 cm a. L = 329.9 cm2 ; S = 373.9 cm2 b. L = 329.9 cm2 ; S = 483.8 cm2 c. L = 659.7 cm2 ; S = 483.8 cm2 d. L = 659.7 cm2 ; S = 813.6 cm2
Answer:
Step-by-step explanation:
a.
L
=
329.9
c
m
2
;
S
=
373.9
c
m
2
.
b.
L
=
659.7
c
m
2
;
S
=
483.8
c
m
2
.
c.
L
=
659.7
c
m
2
;
S
=
813.6
c
m
2
.
d.
L
=
329.9
c
m
2
;
S
=
483.8
c
m
2
.
Surface Area of a Cone:
In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.
The height of the cone is the length of a line segment that joins the base to the vertex of the cone.
The radius of the cone is the same as the radius of the base.
Surface area of a cone
(a) Lateral Surface Area
If
l
and
r
are the slant height and radius of a cone then its lateral surface area is given by the formula-
L
=
π
r
l
where
L
is the lateral surface area of the cone
(b) Total surface area
It is the sum of the area of the circular base and the lateral surface area of the cone.
S
=
L
+
π
r
2
S
=
π
r
l
+
π
r
2
Where
S
is the total surface area of the cone
Answer and Explanation:
Given that the radius and slant height of a right cone is
7
c
m
and
15
c
m
respectively
r
=
7
c
m
l
=
15
c
m
So the lateral surface area of the cone-
L
=
π
r
l
L
=
π
(
7
)
(
15
)
L
=
105
π
L
=
105
(
3.14159
)
L
=
329.866
L
≈
329.9
c
m
2
And the total surface area of the cone-
S
=
L
+
π
r
2
S
=
329.9
+
π
(
7
)
2
S
=
329.9
+
49
(
3.14159
)
S
=
329.9
+
153.937
S
=
483.83
c
m
2
So the lateral area and total area of a right cone are
329.9
c
m
2
and
483.8
c
m
2
respectively.
Answer:
Step-by-step explanation:
Step-by-step explanation:
a.
L
=
329.9
c
m
2
;
S
=
373.9
c
m
2
.
b.
L
=
659.7
c
m
2
;
S
=
483.8
c
m
2
.
c.
L
=
659.7
c
m
2
;
S
=
813.6
c
m
2
.
d.
L
=
329.9
c
m
2
;
S
=
483.8
c
m
2
.
Surface Area of a Cone:
In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.
The height of the cone is the length of a line segment that joins the base to the vertex of the cone.
The radius of the cone is the same as the radius of the base.
Surface area of a cone
(a) Lateral Surface Area
If
l
and
r
are the slant height and radius of a cone then its lateral surface area is given by the formula-
L
=
π
r
l
where
L
is the lateral surface area of the cone
(b) Total surface area
It is the sum of the area of the circular base and the lateral surface area of the cone.
S
=
L
+
π
r
2
S
=
π
r
l
+
π
r
2
Where
S
is the total surface area of the cone
Answer and Explanation:
Given that the radius and slant height of a right cone is
7
c
m
and
15
c
m
respectively
r
=
7
c
m
l
=
15
c
m
So the lateral surface area of the cone-
L
=
π
r
l
L
=
π
(
7
)
(
15
)
L
=
105
π
L
=
105
(
3.14159
)
L
=
329.866
L
≈
329.9
c
m
2
And the total surface area of the cone-
S
=
L
+
π
r
2
S
=
329.9
+
π
(
7
)
2
S
=
329.9
+
49
(
3.14159
)
S
=
329.9
+
153.937
S
=
483.83
c
m
2
So the lateral area and total area of a right cone are
329.9
c
m
2
and
483.8
c
m
2
respectively.
In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student who has a brother also has a
sister?
Has a brother | Does not have a brother
Has a sister
6
2
Does not have a sister
8
13
Answer:
[tex]Probability = \frac{6}{29}[/tex]
Step-by-step explanation:
Given
------------------------------Has a brother | Does not have a brother
Has a sister --------------------------- 6 ----------------- 8
Does not have a sister -----------2 ------------------ 13
Required
Probability of having a sister and a brother
First, the total number of students has to be calculated;
Total = 6 + 2+ 8 + 13
Total = 29
Number of students that have a sister and a brother is represented with data in row 1 and column 1 i.e. 6
At this point, the probability can then be calculated;
Probability = Number of students that have a sister and a brother divided by Total number of students
[tex]Probability = \frac{6}{29}[/tex]
(4x - 5y + 3z) + (-4x +5y +3z)
Answer:6z
Step-by-step explanation:
Question:
(4x - 5y + 3z) + (-4x +5y +3z)
First Step:
Remove parenthesis
4x - 5y + 3z + -4x +5y +3z
Second Step:
Add like terms
4x + -4x = 0
-5y + 5y = 0
3z + 3z = 6z
Final Answer
6z
<!> Brainliest is much Appreciated! <!>
Answer:
6z
Step-by-step explanation:
(4x - 5y + 3z) + (-4x +5y +3z)
Combine like terms
4x - 4x -5y +5y +3z+3z
0+0+6z
6z
BRAINLIEST!!!! Suppose 40 bikes stand near a playground. Some of them are bicycles, some of them are tricycles, and two of them have four wheels. John counts all the wheels and gets 100, in total. How many tricycles are there?
Answer:
16 tricycles
Step-by-step explanation:
First, let's make a chart:
Bicycles- x bicycles and 2x wheels
tricycles- y tricycles and 3x wheels
Four wheeled vehicles- 2 bikes (given), 8 wheels
Since the total amout of bikes is 40, that means that x+y+8=40
You can simplify that to x+y=38.
now, we're going to form another equations dealing with the number of wheels.
Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92
Solve the system of equations:
2x+3y=92
x+y=38
y will be 16
An equation is formed of two equal expressions. There are a total of 16 tricycles.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the total number of bicycles be represented by x, while the total number of tricycles is represented by y.
The total number of vehicles is 40. Therefore, we can write the equation as,
x + y + 2= 40
x + y = 38
Solving the equation for x,
x = 38-y
Also, given that the total number of wheels is 100, also, the number of four-wheelers is 2. Therefore, the total number of wheels can be written as,
2x + 3y + 2(4) = 100
2x+ 3y = 92
Substitute the value of x from the above equation,
2(38 - y) + 3y = 92
76 - 2y + 3y = 92
y = 16
Hence, there are a total of 16 tricycles.
Learn more about Equation:
https://brainly.com/question/2263981
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a bike store marks up the wholesale cost of all bikes by 30%. Calvin wants to buy a bike that has a price tag of $125. What was the wholesale price of this bike
Answer:
$162.50
Step-by-step explanation:
Answer:
87.5
You need to take 30 percent from 125 and subtract it to get the wholesale price
In a class of c children,2/5 are boys What fraction are girls?
Hello! :)
________ ☆ ☆______________________
Answer:
3/5
Step-by-step explanation:
Here is the work:
You only have to subtract and you will get your answer.
5/5-2/5=3/5
We know 1 whole equals to 5/5, and there is 2/5 boys
So there will be 3/5 girls
Hope this helps! :)
_________ ☆ ☆________________________
By, BrainlyMember ^-^
✨ Good luck! ✨
Answer: 3/5c
Step-by-step explanation:
2/5 is 40%. 100-40=60. Thus, 60% of c, or 3/5c are girls.
Hope it helps <3
What value from the set {2, 4, 6, 8} can be substituted for x to make an inequality x > 7 true?
Answer:
8
Step-by-step explanation:
8 is greater than 7
Given the following system of equations, solve it by using substitution and elimination. Do
you get the same answer? Why or why not? Explain using complete sentences.
2x+3y = -14
3x + y =-14
Step-by-step explanation:
2x+3y=-14------equation i ×1
3x+y=-14--------equation ii ×3
2x+3y=-14
9x+3y=-42
-7x =- 28
x=4
Substitute for x in equation ii
3x+y= -14
3(4)+y=-14
12+y=-14
y=-14-12
y=- 26
If two similar cones have volumes of 320 cm³ and 1,080 cm³, find the scale factor.
A. 1/3
B. 2/3
C. 3/4
D. 7/8
Answer:
B. 2/3
Step-by-step explanation:
help will give brainliest
Answer: A. (-3,7)
Step-by-step explanation:
No work needed, you just need to look at the coordinate plane.
Coordinate II is x as a negative and y as a positive
Answer:
D, (5,-1)
5 is in the x axis
-1 is in the y axis
This point is it the second quadent
Hope this helps ( if incorrect try a)
Find the value of x. Give reasons to justify your solution. C ∈ AE
Answer:
x = 11º
Step-by-step explanation:
1. Notice Parallel Lines
2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)
3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º
4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.
5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).
2x + 33 = 5x (C.L.T or Combine Like Terms)3x = 33 (inverse operations; divide by 3)x = 11º (remember to apply units)Answer:
11 degrees
Step-by-step explanation:
Ur welcome
Can anyone help please! Thanks!
PLS ANSWER I WILL MARK U AS THE BRAINLIEST!!! Correct 36.2598 to
a) decimal place.
b) To the nearest hundredth.
c) to nearest 0.001
d) to the nearest whole number
The question is incomplete.
Complete Question
Correct 36.2598 to
a) to one decimal place.
b) To the nearest hundredth.
c) to nearest 0.001
d) to the nearest whole number
Answer:
a) to one decimal place = 36.3
b) To the nearest hundredth= 36.26
c) to nearest 0.001 = 36.260
d) to the nearest whole number = 36
Step-by-step explanation:
From the question, we are to round up 36.2598 to the following:
a) to one decimal place.
Rounding up 36.2598 to one decimal place means we are looking at the first number after the decimal which is 2. The number after it is 5, so we are adding one to 2. Hence,
36.2598 to one decimal place = 36.3
b) To the nearest hundredth:
Rounding up 36.2598 to the nearest hundredth means we are rounding up to 2 decimal places. This means we are looking at the second number after the decimal which is 5. The number after it is 9, which is higher than 5 so we are adding one to 5. Therefore,
36.2598 to the nearest hundredth = 36.26.
c) to nearest 0.001
Rounding up 36.2598 to the nearest 0.001 means we are rounding up to the nearest thousandth which is 3 decimal places.
This means we are looking at the third number after the decimal which is 9. The number after it is 8, which is higher than 5 so we are adding one to 9.
Therefore,
36.2598 to the nearest 0.001 = 36.260
d) to the nearest whole number
Rounding up 36.2598 to the nearest whole number means we are rounding up the number before the decimal place. That number is 6. We look at the first digit after the decimal, it is less than 5, 6 remains unchanged, if it is 5 and above, we add one to 6.
For our question, the number after the decimal is 2, it is less than 5 so 6 remains unchanged.
36.2598 to the nearest whole number = 36.
AWARDING FIRST CORRECT ANSWER WITH BRANLIEST
Answer:
[tex] \boxed{\sf (8x + y)(2x + 3y)} [/tex]
Step-by-step explanation:
[tex] \sf Factor \: the \: following: \\ \sf \implies {(5x + 2y)}^{2} - {( 3x - y)}^{2} \\ \\ \sf Factor \: the \: difference \: of \: two \: squares. \\ \sf {(5x + 2y)}^{2} - (3x - y)^{2} = ((5x + 2y) + (3x - y)) \\ \sf ((5x + 2y) - (3x - y)) : \\ \sf \implies ((5x + 2y) + (3x - y))((5x + 2y) - (3x - y)) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + 3x - y = \\ \sf (5x +3x) + (2y - y) : \\ \sf \implies \boxed{ \sf( (5x +3x) + (2y - y))}((5x + 2y) - (3x - y) \\ \\ \sf 5x + 3x = 8x : \\ \sf \implies (\boxed{ \sf 8x} + (2y - y))((5x + 2y) - (3x - y)) \\ \\ \sf 2y - y = y : \\ \sf \implies (8x + \boxed{ \sf y})((5x + 2y) - (3x - y)) \\ \\ \sf - (3x-y)=y-3x: \\ \sf \implies (8x + y)(5x + 2y + \boxed{ \sf y - 3x}) \\ \\ \sf Grouping \: like \: terms, \: 5x + 2y + y - 3x = \\ \sf (5x - 3x)(2y + y) : \\ \sf \implies (8x + y) + \boxed{ \sf ((5x - 3x)(2y + y))} \\ \\ \sf 5x - 3x = 2x : \\ \sf \implies (8x + y)( \boxed{ \sf 2x} + (2y + y)) \\ \\ \sf 2y + y = 3y : \\ \sf \implies (8x + y)(2x + \boxed{ \sf 3y})[/tex]
Answer:
(8x+y)(2x+3y)
Step-by-step explanation:
see attached
Paul developed a roll of film containing 36 pictures. If he made 2 prints each of half of the pictures and 1 print of each of the rest, how many prints did he make in all?
Answer:
54
Step-by-step explanation:
Total pictures in the roll = 36
half of the roll = 1/2 of the total pictures in the roll = 1/2 * 36 = 18
Given Paul made 2 prints of each of the half pictures
no. of prints made of half of the pictures = 18*2 = 36
No. of prints left after the half of the roll is printed for two prints= 36-18 = 18
No. of prints made of rest of the pictures 1
Therefore , no of prints made of rest half of pictures = 18*1 = 18
Total prints made = 36 + 18 = 54.
Thus, Paul made 54 prints in all.
In a newspaper, it was reported that yearly robberies in Springfield were down 2% to 245 in 2014 from 2013. How many robberies were there in Springfield in 2013?
Answer:
250
Step-by-step explanation:
245 / 0.98 = 250
17T 13lb 3oz − 9T 20lb 9oz
→Answer:
8T - 7lb - 6oz
→Step-by-step explanation:
So 17T 13lb 3oz - 9T 20lb 9oz
This information is asking us to simplify the expression.
To do that we need to combine like terms meaning If t and t are alike variables they go together.
And in this expression we have 3 pairs of alike variables which are T, lb, and oz.
So we need to subtract all the like terms.
_____________
17T - 9T is 8T
13lb - 20lb is -7lb
3oz - 9 oz is -6oz
______________
So,
The expression now shows 8T - 7lb - 6oz.
___________________I do hope this helps!________________
_____________Brainliest is always appreciated!_____________
6f = 24 pls help!!!!!!!!!!!!!!
Answer:
f=4
Step-by-step explanation:
6f = 24
÷6 ÷6
f=4
Answer:
f = 4
Step-by-step explanation:
6f = 24
f = 24/6
f = 4
Find the value of x.
Answer:
x = √21.
Step-by-step explanation:
Triangles ADB and BCD are similar.
So their corresponding sides are in the same ratio:
x / 7 = 3 / x
x^2 = 21
x = √21.
Please help me match these formulas thank you :)
Answer:
Circle Circumference: 5
Triangle: 8
Circle Area: 3
Regular Polygon: 7
Parallelogram:6
Equilateral triangle: 1
Trapezoid:4
Rectangle:2
Step-by-step explanation:
I don't know how I would do a step by step explanation
Two boats leave port at noon. Boat 1 sails due east at 12 knots. Boat 2 sails due south at 8 knots. At 2 pm the wind diminishes and Boat 1 now sails at 9 knots. At 3 pm, the wind increases for Boat 2 and it now sails 7 knots faster. How fast (in knots) is the distance between the two ships changing at 5 pm. (Note: 1 knot is a speed of 1 nautical mile per hour.)
Answer:
14.86 knots.
Step-by-step explanation:
Given that:
The boats leave the port at noon.
Speed of boat 1 = 12 knots due east
Speed of boat 2 = 8 knots due south
At 2 pm:
Distance traveled by boat 1 = 24 units due east
Distance traveled by boat 2 = 16 units due south
Now, speed of boat 1 changes to 9 knots:
At 3 pm:
Distance traveled by boat 1 = 24 + 9= 33 units due east
Distance traveled by boat 2 = 16+8 = 24 units due south
Now, speed of boat 1 changes to 8+7 = 15 knots
At 5 pm:
Distance traveled by boat 1 = 33 + 2[tex]\times[/tex] 9= 51 units due east
Distance traveled by boat 2 = 24 + 2 [tex]\times[/tex] 15 = 54 units due south
Now, the situation of distance traveled can be seen by the attached right angled [tex]\triangle AOB[/tex].
O is the port and A is the location of boat 1
B is the location of boat 2.
Using pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^{2} = 51^{2} + 54^{2}\\\Rightarrow AB^{2} = 2601+ 2916 = 5517\\\Rightarrow AB = 74.28\ units[/tex]
so, the total distance between the two boats is 74.28 units.
Change in distance per hour = [tex]\dfrac{Total\ distance}{Total\ time}[/tex]
[tex]\Rightarrow \dfrac{74.28}{5} = 14.86\ knots[/tex]
Can someone please help me solve this?
Answer:
centre = (-5, -4)
radius = 7.42
Step-by-step explanation:
The general form for center-radius is
(x - h)² + (y - k)²= r²
Center = (h, k)
Radius = r
Rearrange the equation.
(x² + 10x) + (y² + 8y) - 14 = 0
Add 14 on both sides.
(x² + 10x) + (y² + 8y) = 14
(10/2)² = 25
(8/2)² = 16
Add 25 and 16 to both sides.
(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16
Factor left side of the equation.
(x+5)² + (x+4)² = 55
(55) = (7.416198)²
(x+5)² + (x+4)² = 7.42²
The radius is 7.42.
The centre is at (-5, -4).
PRE CALC PLEASE HELP PLEASE
Answer:
The statement is true
Step-by-step explanation:
We have been given an equation of hyperbola
In the given equation of hyperbola center is located at h at -1 and k at 2. so:
C:(h,k) = (-1,2)
Coordinated of the foci of the hyperbola are given as:
Foci: (h, k ± c)
Substitute the values of h and k into the coordinated of foci of hyperbola.
Foci: (-1, 2 ± c)
Where c can be found by using the given formula
c = √(a²+b²)
c = √(16+144)
c = 4√10
So the the coordinates of the foci are:
Foci: (-1, 2 - 4√10) and (-1, 2 + 4√10)
Thus, the statement given is true