Answers
The answer is:
The equation D will produce the shown circle.
[tex]6x^{2}+6y^{2}=144[/tex]
Why?Since the graph is showing a circle, we need to find the equation of a circle that has a radius which is between 0 and 5 units, and has a center located at the origen (0,0).
Also, we need to remember the standard form of a circle:
[tex](x+h)^{2} +(y+k)^{2}=r^{2}[/tex]
Where,
x, is the x-coordinate of the x-intercept point
y, is the y-coordinate of the y-intercept point
h, is the x-coordinate of the center.
k, is the y-coordinate of the center.
r, is the radius of the circle.
So, discarding each of the given options, we have:
First option:
A.
[tex]\frac{x^{2} }{20}+ \frac{y^{2} }{20}=1\\\\\frac{1}{20}(x^{2}+y^{2})=1\\\\x^{2}+y^{2}=20*1\\\\x^{2}+y^{2}=20[/tex]
Where,
[tex]radius=\sqrt{20}=4.47=4.5[/tex]
Now, can see that even the center is located at the point (0,0), the radius of the circle is equal to 4.5 units and from the graph we can see that the radius of the circle is more than 4.5 units but less than 5 units, the option A is not the equation that produces the shown circle.
Second option:
B.
[tex]20x^{2} -20y^{2}=400\\\\\frac{1}{20}(x^{2} -y{2})=400\\\\x^{2} -y{2}=400*20[/tex]
Where,
[tex]radius=\sqrt{8000}=89.44units[/tex]
We can see that even the center is located at the point (0,0), the radius of the circle is 89.44 units, so, the option B is not the equation that produces the shown circle.
Third option:
C.
[tex]x^{2}+y^{2}=16[/tex]
Where,
[tex]radius=\sqrt{16}=4units[/tex]
We can see that even the center is located at the point (0,0), the radius of the circle is 4 units, which is less than the radius of the circle shown in the graph, so, the option C is not the equation that produces the shown circle.
D.
[tex]6x^{2}+6y^{2}=144\\\\6(x^{2} +y^{2})=144\\\\x^{2} +y^{2}=\frac{144}{6}=24\\\\[/tex]
Where,
[tex]radius=\sqrt{24}=4.89units[/tex]
Now, we have that the radius of the circle is 4.89 units, which is approximated equal to 0, also, the center of the circle is located at (0,0) so, the equation D will produce the shown circle.
[tex]6x^{2}+6y^{2}=144[/tex]
Have a nice day!
The equation that represents the given graph is:
[tex]6x^2+6y^2=144[/tex]
Step-by-step explanation:By looking at the given graph we observe that the graph is a circle with center at (0,0) and the radius is close to 5.
Now, we know that:
The general equation of a circle with center (h,k) and radius r is given by:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here (h,k)=(0,0)
Hence, the equation of the circle is:
[tex]x^2+y^2=r^2[/tex]
A)
[tex]\dfrac{x^2}{20}+\dfrac{y^2}{20}=1\\\\i.e.\\\\x^2+y^2=20[/tex]
i.e.
[tex]x^2+y^2=(2\sqrt{5})^2[/tex]
This equation is a equation of a circle with center at (0,0)
and radius is: [tex]2\sqrt{5}\ units[/tex]
i.e. the radius is approximately equal to 4.5 units.
But the radius is close to 5.
Hence, option: A is incorrect.
B)
[tex]20x^2-20y^2=400\\\\i.e.\\\\x^2-y^2=20[/tex]
This is not a equation of a circle.
This equation represents a hyperbola.
Hence, option: B is incorrect.
C)
[tex]x^2+y^2=16[/tex]
which could be represented by:
[tex]x^2+y^2=4^2[/tex]
i.e. the radius of circle is: 4 units
which is not close to 5.
Hence,option: C is incorrect.
D)
[tex]6x^2+6y^2=144[/tex]
On dividing both side of the equation by 6 we get:
[tex]x^2+y^2=24[/tex]
i.e.
[tex]x^2+y^2=(\sqrt{24})^2[/tex]
i.e.
Radius is: [tex]\sqrt{24}\ units[/tex]
which is approximately equal to 4.9 units which is close to 5 units.
Related Questions
Three cities, A, B, and C, are located so that city A is due east of city B. If city C is located 35° west of north from city B and is 100 miles from city A and 70 miles from city B, how far is city A from city B?
Answers
Answer:
41.776756 miles
Step-by-step explanation:
Using trigonometry and the Law of Cosines, we find that the distance between city A and city B is approximately 122.47 miles.
The question involves using trigonometry to solve for distances between points in a coordinate system, which represents cities in this context. To determine how far city A is from city B given that city C is 35° west of north from city B and specific distances from cities A and B, we can set up a right-angled triangle between the cities.
First, we calculate the angle formed at city B using the information provided about city C's angle. Since city C is 35° west of north and city A is due east of city B, the angle between cities A, B, and C is 180° - 35° = 145°.
We now have a triangle with cities A, B, and C forming the vertices and the following information: side BC (70 miles), side CA (100 miles), and angle BAC (145°). We can solve for the distance between city A and B using the Law of Cosines:
c² = a² + b² - 2ab×cos(C), where c is the side opposite the angle C and a and b are the other two sides.
The distance between cities A and B (side c) is therefore calculated as:
c = √(70² + 100² - 2×70×100×cos(145°))
After calculation, we find that the distance between city A and city B is approximately 122.47 miles.
(4x-5x)(x-3) use foil to multiply the binomial
Answers
Answer:
-x^2+3x
Step-by-step explanation:
Prudence is creating a garden in her backyard. She wants it to be the shape of an equilateral triangle with sides of length 20 feet. What will be the area of this triangular garden? Round your answer to the nearest whole foot.
Answers
Answer:
The area of the triangular garden is [tex]173\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The equilateral triangle has three equal sides and three equal internal angles (the measure of each internal angle is 60 degrees)
The area of a triangle applying the law of sines is equal to
[tex]A=\frac{1}{2}(a)(b)sin(C)[/tex]
In this problem we have a equilateral triangle
therefore
[tex]a=b=20\ ft[/tex]
[tex]C=60\°[/tex]
substitute
[tex]A=\frac{1}{2}(20)(20)sin(60\°)[/tex]
[tex]A=\frac{1}{2}(20)(20)\frac{\sqrt{3}}{2} \\ \\A=100\sqrt{3}\ ft^{2}\\ \\A=173\ ft^{2}[/tex]
Can someone please explain this problem step by step? Thank you sooooooooooooo much!
Answers
Explanation:
Use the Pythagorean identity, cancel common factors, and divide numerator and denominator by cos(x). Equivalently, multiply numerator and denominator by sec(x).
[tex]\dfrac{\sin^2{x}+2\cos{x}-1}{\sin^2{x}+3\cos{x}-3}=\dfrac{1-\cos^2{x}+2\cos{x}-1}{1-\cos^2{x}+3\cos{x}-3} \qquad\text{replace $\sin^2$ with $1-\cos^2$}\\\\=\dfrac{\cos{x}(2-\cos{x})}{(\cos{x}-1)(2-\cos{x})}=\dfrac{\cos{x}}{\cos{x}-1}=\dfrac{1}{\dfrac{\cos{x}}{\cos{x}}-\dfrac{1}{\cos{x}}}=\dfrac{1}{1-\sec{x}}[/tex]
Express the quotient in simplest form
Answers
i believe the answer is a
Answer:
answer : D
Step-by-step explanation:
Three ships are at sea: the Admiral, the Barstow, and the Cauldrew. The crew on the Admiral can see both the Barstow and the Cauldrew. They measure the angle between the line of sight to the Barstow and the line of sight to the Cauldrew as 31°. They radio the Barstow and by comparing known landmarks, find that the distance between the Admiral and the Barstow is 402 meters. The Barstow reports that an angle of 70° is found between their line of sight to the Admiral and their line of sight to the Cauldrew. To the nearest meter, what is the distance between the Barstow and the Cauldrew?
38 meters
211 meters
220 meters
133 meters
Answers
Answer:
I am very disappointed in you. I give you extra credit to try and help your grade and you cheat? Please come and see me tomorrow about what you are doing.
Step-by-step explanation:
Answer:
211 meters
Step-by-step explanation:
Let A represents the Admiral, B represents the Barstow and C represents the Cauldrew.
According to the question,
AB = 402,
∠B = 70°,
∠A = 31°,
∵ ∠B + ∠A + ∠C = 180° ⇒ 70° + 31° + ∠C = 180° ⇒ ∠C = 180° - 101° = 79°
By the law of sine,
[tex]\frac{sin C}{AB}=\frac{sin A}{ BC}[/tex]
By substituting the values,
[tex]\frac{sin 79^{\circ}}{402}=\frac{sin 31^{\circ}}{BC}[/tex]
By cross multiplication,
[tex]BC\times sin 79^{\circ} = 402\times sin 31^{\circ}[/tex]
[tex]\implies BC = \frac{ 402\times sin 31^{\circ}}{sin 79^{\circ}}=210.92050995\approx 211[/tex]
Hence, the distance between the Barstow and the Cauldrew is 211 meters ( approx )
Second option is correct.
if k=[-4 | 2, 6 | -3] and m=[2 | 8, -2 | 5] what is x when 2x -k = m
Answers
Answer:
x = [-1 | 5, 2 | 1]
Step-by-step explanation:
We assume your notation is used to describe 2×2 matrices.
Solve for x:
2x -k = m
2x = m + k . . . . add k
x = (1/2)(m +k) . . . . multiply by 1/2
Fill in the values:
x = 1/2[2+(-4) | 8 +2, -2+6 | 5+(-3)]
x = [-1 | 5, 2 | 1]
The correct answer is B, or the graph attached.
Just got it right on edge 2020, hope this helps!! :)
Janice swims 450 meters in 5 minutes. Find her swimming speed in meters per minute
Answers
90 speed in meters
:explenation step by step
1. 5× =450
2. 450÷5=90
3.5×90=450
Final answer:
Janice's swimming speed is calculated by dividing the distance she swims, 450 meters, by the time it takes, 5 minutes, resulting in a speed of 90 meters per minute.
Explanation:
To calculate Janice's swimming speed in meters per minute, you divide the distance she swims by the time it takes her to swim that distance. Janice swims 450 meters in 5 minutes.
Swimming speed = Distance ÷ Time.
Swimming speed = 450 meters ÷ 5 minutes = 90 meters per minute.
Therefore, Janice's swimming speed is 90 meters per minute.
The area of a rectangular patio is 5 5/8 square yards, and its length is 1 1/2. What is the patio width, in yards
Answers
The width is 3 3/4. you just have to divide 5 5/8 by 1 1/2.
let's firstly convert those mixed fractions to improper fractions and then proceed.
[tex]\bf \stackrel{mixed}{5\frac{5}{8}}\implies \cfrac{5\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{45}{8}}~\hfill \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\ \cline{1-1} L=\frac{3}{2}\\ A=\frac{45}{8} \end{cases}\implies \cfrac{45}{8}=\cfrac{3}{2}w\implies \cfrac{45}{8}=\cfrac{3w}{2}\implies 90=24w \\\\\\ \cfrac{90}{24}=w\implies \cfrac{15}{4}=w\implies 3\frac{3}{4}=w[/tex]
Plz help meehhh :(((
A bus travels two different routes: the Green Route and the Blue Route. The routes are different lengths.
• On Monday the bus traveled the Green Route 6 times and the Blue Route 5 times, traveling a total of 52 miles.
• On Tuesday the bus traveled the Green Route 12 times and the Blue Route 13 times, traveling a total of 119 miles.
What is the length of the Green Route in miles?
A) 4.4 mi
B) 4.5 mi
C) 6.4 mi
D) 6.8 mi
Answers
Answer:
B
Step-by-step explanation:
Let length of Green Route be g and length of Blue Route be b
From 1st bullet point we can write the equation:
6g+5b = 52
From 2nd bullet, we can write:
12g + 13 b = 119
We can solve for b of the 1st equation as:
[tex]6g+5b = 52\\5b=52-6g\\b=\frac{52-6g}{5}[/tex]
Now we can put this value of b into 2nd equation and solve for g (as shown below):
[tex]12g+13b=119\\12g+13(\frac{52-6g}{5})=119\\12g+\frac{676-78g}{5}=119\\\frac{60g+676-78g}{5}=119\\60g+676-78g=5*119\\60g+676-78g=595\\-18g=-81\\g=\frac{-81}{-18}=4.5[/tex]
Hence, the green route is 4.5 miles, B is right.
About 34% of people are expected to be infected by the flu this season. What is the risk that a randomly selected person will be infected by the flu?'a) 34 b) 0.34 c) 0.66 d) 66 e) 1 divided by the population size
Answers
Answer:
B 0.34
Step-by-step explanation:
If 34% of all people are expected to get the flu, then that means 34% of any sample size should also expect to be infected. If they choose 1 person at random from either the population or a preselected random sample, then that person has a 34% chance of getting the flu. 0.34 is the decimal corresponding to 34%. So the probability is 0.34
Convert the percentage to a decimal. The answer is 0.34.
Convert 34% to a decimal, which is 0.34.The correct answer is b) 0.34.which answer choice best describes f(x)=x-12
Answers
The relationship does not show a direct linear variation best describes f(x)=x−12. Option D is the correct choice.
A function is a specific mathematical relationship with a predefined domain and range, where each value in the domain corresponds to one value in the range.
In the given function, f(x) = x - 12, the slope of the line represents how much 'y' increases as 'x' increases.
A constant slope means that the increase in 'y' is uniform across the entire line. In this case, the slope (m) is 1.
However, this function doesn't exhibit a direct linear variation, as it also has a y-intercept of -12.
The presence of the y-intercept at -12 indicates that the line does not pass through the origin, and therefore, it doesn't show a direct linear variation.
Hence, the linear function f(x) = x - 12 does not display a direct linear variation, making option (D) the correct choice.
For similar question on direct linear variatio
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Question:-
Which answer choice best describes f(x)=x−12?
A. The relationship shows a direct linear variation with a constant of variation of −12 .
B. The relationship shows a direct linear variation with a constant of variation of 1.
C. The relationship shows a direct linear variation with a constant of variation of 12.
D. The relationship does not show a direct linear variation
{PLEASE HELP ASAP}
I dont know how to do these very well at all, please help me!
Answers
the answer for this question is all are not polynomials
Answer:
The first, second, and last ones are polynomials, the others are not.
Step-by-step explanation:
Katie has a job planting shrubs beside the highway. She needs to plant 500 shrubs in a week. So far, She has planted this many: Monday 84 Tuesday 92 Wednesday 87 Thursday 104 How many shrubs does Katie need to plant on Friday?
Answers
ANSWER: Katie Must Plant 133 Shrubs On Friday.
First, We Know That Katie Needs To Plant 500 Shrubs In A Week. So Then, We Add Up 104+87+92+84 And When We Add Those Numbers Up, We Get How Many Shrubs She Has Planted On Monday Tuesday Wednesday And Thursday. To Find Out How Many Plants She Needs To Plant On Friday, Subtract 367 From 500 And You Get 133.
Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, how long will it take them to mow the lawn?
a.15.0 minutes
b.22.5 minutes
c.30.0 minutes
d.120.0 minutes
Answers
Answer:
c. 30.0 minutes
Step-by-step explanation:
Max mows 1/45 lawns per minute.
Jan takes twice as long (90 minutes per lawn), so mows 1/90 lawns per minute.
Working together, they mow ...
(1/45 + 1/90) lawns per minute = (2/90 +1/90) lawn/min = 3/90 lawn/min
= 1/30 lawn/min
Then for one lawn, it takes ...
(1 lawn)/(1/30 lawn/min) = 30 min
Answer:
A
Step-by-step explanation:
30 min
Jackie can 150 meters
every minute. She is
training for a track
meet. She ran 500
meters during a warm
up. Write a function
that represents how
many meters Jackie
can runs in total at any
given minute. Then
determine how many
meters she runs after
12 minutes
Answers
Answer:
1800 meters
Step-by-step explanation:
The function is for every minute represented by X 150 meters is completed...or
x(150m)
To find 12 minutes you replace the x with 12
12(150m)=1800 meters
The function that represents how many meters Jackie can run is: 'y = 150*x + 500'. After 12 minutes, Jackie can run 2300 meters.
Explanation:The problem is basically describing a linear relationship between the minutes Jackie trains and the total distance she covers. The function can be represented by the equation: y = mx + c. In this context, 'y' represents the total distance run, 'm' represents the speed (150 meters/minute), 'x' represents time (minutes), and 'c' is the initial distance covered (500 meters).
So the function will be: y = 150*x + 500.
To find out how much Jackie run after 12 minutes, substitute 12 for 'x' in the equation: y = 150*12 + 500. After doing the calculations, we see that Jackie can run 2300 meters in 12 minutes.
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What is the sum of the first 100 terms of the sequence 4,9,14,19, ...?
Answers
Answer:
25150
Step-by-step explanation:
First, we have to see that this is an arithmetic sequence... since to get the next element we add 5 to it. (a geometric sequence would be a multiplication, not an addition)
So, we have a, the first term (a = 4), and we have the difference between each term (d = 5), and we want to find the SUM of the first 100 terms.
To do this without spending hours writing them down, we can use this formula:
[tex]S = \frac{n}{2} * (2a + (n - 1) * d)[/tex]
If we plug in our values, we have:
[tex]S = \frac{100}{2} * (2 * 4 + (100 - 1) * 5) = 50 * (8 + 99 * 5)[/tex]
S = 50 * (8 + 495) = 50 * 503 = 25150
Answer:
Sum of 100 terms = 25150
Step-by-step explanation:
Formula:-
Sum of n terms of an AP
Sₙ = n/2[2a + (n - 1)d]
Where n - number of terms
a - first term and d - common difference
To find the sum of 100 terms
here, n = 100, a = 4 and d = 5
S₁₀₀ = n/2[2a + (n - 1)d]
= 100/2[2*4 + (100 - 1)5]
= 50[8 + 99*5]
= 25150
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations.
What is the survey’s margin of error?
Answers
As far as I can tell, the definition of margin of error involves more than you're given in this exercise (for example, you should know how many people were surveyed, the standard deviation, etc etc).
So, I assume that you're looking for a "simplified" interpretation of the margin of error: the estimate are around 80%, with a margin of 4% up or down.
So, you would be claiming that 80% of people is satisfied, with a margin of uncertainty of 4% (so it can be a minimum of 80-4=76 and a maximum of 80+4=84)
A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle? (1 point) (x - 1)2 + (y + 2)2 = 3 (x + 1)2 + (y - 2)2 = 3 (x + 1)2 + (y + 2)2 = 9 (x + 1)2 + (y - 2)2 = 9
Answers
Answer:
(x + 1)^2 + (y - 2)^2 = 3^2 = 9
Step-by-step explanation:
The standard equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2.
Here, h = -1, k = 2 and r = 3, so the equation of this particular circle is
(x + 1)^2 + (y - 2)^2 = 3^2 = 9.
are cartoonist is painting on a canvas that is 15 cm wide how wide is the canvas in inches
Answers
Answer:
you don't know the answer?! Come on folk you tweaking.
Step-by-step explanation:
Answer:
5.90551
Step-by-step explanation:
1cm in inches - 0.3937008in
30cm in inches - 11.81102in = approx. 1 foot (1 ft = 12")
what is the slope,y intercept ,are the lines the same intersecting ,or parallel? What are the number of solutions? Classification ,Consistent-dependent,Consistent-independent,or Inconsistent? use y = mx + b ,m = slope ,b = y-int for y = 2x + 3, 2x - y = 5 and 3x - y = 5 ,2x + y = -3 and y = x + 4 ,y = x + 4. Ive tried posting this question a few times but cannot get the right wording plz help me
Answers
Answer:
For equation: y = 2x + 3 , 2x - y = 5 There is no solution to this system of equations.For equation: y = 2x + 3 , 2x - y = 5 There is one solution to the system of equations.For equation: y = x + 4 , y = x + 4 There are infinite solutions to the system.Step-by-step explanation:
The equation of straight line is written as y = m x + c where 'm' is slope. y - intercept of line is value which intersect the point on y-axis.To find y -intercept , put x = 0 in equation.If slope of two lines are equal then lines are parallel.If the lines are not parallel, they will always intersectFor equation: y = 2x + 3 , 2x - y = 5
Compare equation y = 2x + 3 with y = m x + c then we get slope 'm' is 2.
Now, put x = 0 in y = 2x + 3 to get y-intercept
y = 2(0)+ 3
y = 0 + 3
y = 3
so, the y-intercept is 3 .
Re-write this equation 2x - y = 5 in the slope intercept form;
Subtract 2x from both the sides of 2x - y = 5
2x - y - 2x = 5 - 2x
- y = - 2x + 5
Multiply both the sides by '-1'
y = 2x - 5
so, when we compare above equation with y = m x + c then we get slope 'm' is 2 .
Now, put x = 0 in y = 2x - 5 to get y-intercept
y = 2(0) - 5
y = 0 - 5
y = - 5
so, the y-intercept is - 5 .
Equation y = 2x + 3 and 2x - y = 5 are parallel (since there slope are equal 'm = 2').
There is no solution to this system of equations.
For equation: 3x - y = 5 , 2x + y = -3
Re-write this equation 3x - y = 5 in the slope intercept form;
Subtract 3x from both the sides of 3x - y = 5
3x - y - 3x = 5 - 3x
- y = - 3x + 5
Multiply both the sides by '-1'
y = 3x - 5
so, when we compare above equation with y = m x + c then we get slope 'm' is 3 .
Now, put x = 0 in y = 3x - 5 to get y-intercept
y = 3(0) - 5
y = 0 - 5
y = - 5
so, the y-intercept is - 5 .
Re-write this equation 2x + y = -3 in the slope intercept form;
Subtract 2x from both the sides of 2x + y = -3
2x - y - 2x = -3 - 2x
- y = - 2x - 3
Multiply both the sides by '-1'
y = 2x + 3
so, when we compare above equation with y = m x + c then we get slope 'm' is 2 .
Now, put x = 0 in y = 2x + 3 to get y-intercept
y = 2(0) + 3
y = 0 + 3
y = 3
so, the y-intercept is 3 .
Equation 3x - y = 5 and 2x + y = -3 are intersecting lines (since their slope are not equal).
There is one solution to the system of equations (since the lines are intersect).
For equation: y = x + 4 , y = x + 4
Compare equation y = x + 4 with y = m x + c then we get slope 'm' is 1.
Now, put x = 0 in y = x + 4 to get y-intercept
y = 0+ 4
y = 4
so, the y-intercept is 4 .
since equation of line are same therefore slopes are also equal
Equation y = x + 4 and y = x + 4 are parallel lines.
There are infinite solutions to the system. ( Since equivalent equation)
what is the surface area of the rectangular prism below?
A. 423 units squared
B. 630 units squared
C. 1260 units squared
D. 846 units squared
Answers
Answer: D. 846 units squared
Step-by-step explanation:
12x9=108
108x2=216
15x9=135
135x2=270
12x15=180
180x2=360
360+270+216=846 units squared
The surface area of the rectangular prism is 846 sq.units
What is a rectangular Prism ?A rectangular prism is a three dimensional figure with rectangle at its base. It can also be called as a Cuboid .
A rectangular prism is given with
length 12 units
Width 15 units
Height 9 units
The surface area of the rectangular prism is given by
A = 2 * l * w + 2 * l * h + 2 * w * h
A = 2 * 12 * 15 + 2 * 9 * 12 + 2 * 15 * 9
A = 360 + 216 + 270
A = 846 sq.units
Therefore the surface area of the rectangular prism is 846 sq.units
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Patti went swimming for 1hour 15minutes on monday. On Tuesday she swam twice as long as she swam on Monday. On Wednesday she swam 50minutes less than the time she swam on Tuesday. How much time did she spend swimming during that three day period
Answers
Patti swam a total of 5 hours and 25 minutes over the three days—1 hour and 15 minutes on Monday, 2 hours and 30 minutes on Tuesday, and 1 hour and 40 minutes on Wednesday.
Explanation:Patti went swimming for 1 hour and 15 minutes on Monday. To find out how long she swam over the three days, we need to calculate the time for each day and then sum them up.
On Tuesday, she swam twice as long as she did on Monday, which means she swam 2 * (1 hour and 15 minutes) = 2 hours and 30 minutes.
On Wednesday, she swam 50 minutes less than the time she swam on Tuesday, which means she swam (2 hours and 30 minutes) - 50 minutes = 1 hour and 40 minutes.
To find the total time Patti spent swimming during the three days, we add up Monday's, Tuesday's, and Wednesday's swimming times:
Monday: 1 hour and 15 minutesTuesday: 2 hours and 30 minutesWednesday: 1 hour and 40 minutesThe total is 5 hours and 25 minutes.
What should be done to solve the following equation?
d - 8 = 9
Subtract 8 from both sides of the equation.
Add 8 to both sides of the equation.
Add 9 to both sides of the equation.
Subtract 9 from both sides of the equation.
Answers
To solve this equation, you need to isolate/get the variable (d) by itself, to do so, you should add 8 on both sides
d - 8 = 9
d - 8 + 8 = 9 + 8
d = 17 The 2nd option is your answer
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
The results of a survey indicate that between 76% and 84% of the season ticket holders are satisfied with their seat locations.
What is the survey’s margin of error?
Answers
Answer:
4%
Step-by-step explanation:
Answer:
+/- 4%.
Step-by-step explanation:
That would be +/- (84-76)/2
= +/- 8/2
= +/-4%.
If 5 + x = 12, and you add -5 to the left side of the equation, what should you add to the right side of the equation?
Answers
Answer: You must subtract 5 from 12.
Step-by-step explanation:
When solving a one step equation such as this one where you are trying to find x, you must subtract 5 from both sides of the equation. You have to subtract because there is a plus sign: 5 + x = 12
If instead there was a minus sign, you would ADD 5 to both sides. Since it is a plus sign, subtract 5 from 5 and from 12. You then get 7. X=7.
Hope this helped :)
Answer: -5
Step-by-step explanation:
5 + x = 12
-5 -5
________
x = 7
QUICK!
what is the probability that George will draw a blue marble from a container that contains 6 red, 4 blue, 3 yellow and 5 green marbles?
1/3
1/6
2/9
5/18
Answers
Answer is 2/9.
You have 18 marbles in total. You also have 4 blue marbles. 4/18 divided by 2 is 2/9. Therefore 2/9 is the correct answer.
Your answer is C) 2/9
Hope this helps chu fellow kpop fan XD
☆ Dont forget to mark brainliest ☆
According to the general equation for conditional probability, if (image attached)
A. 2/3
B. 1/3
C. 1/6
D/ 5/6
Answers
Answer:
Option B
[tex]P(A|B') = \frac{1}{3}[/tex]
Step-by-step explanation:
If B 'is the complement of B then [tex]P(B') = P({\displaystyle {\overline {B}}})=1-P(B) = \frac{2}{3}[/tex]
In a probabilistic experiment, when two events A and B are dependent on each other, then the probability of occurrence A since B occurs is:
[tex]P(A|B') = \frac{P(A\ and\ B)}{P(B')}[/tex]
Then if [tex]P(A\ and\ B) = \frac{2}{9}[/tex] and [tex]P(B') = \frac{2}{3}[/tex]
[tex]P(A|B') = \frac{\frac{2}{9}}{\frac{2}{3}}\\\\P(A|B') = \frac{1}{3}[/tex]
Answer:
The correct answer option is B. 1/3.
Step-by-step explanation:
We are given that P (A ∩ B') = 2/9 and P (B') = 1/3 and we are to find P (A | B').
We also know that the formula of conditional probability is given by:
P (A | B') = P (A ∩ B') / P (B)
So substituting the given values in the formula above to get the value of P (A | B'):
P (A | B') = [tex] \frac { \frac { 2 } { 9 } } { \frac { 1 } { 3 } } = \frac { 2 } { 9 } \times \frac { 3 } { 1 } [/tex] = 1/3
Solve for x.
A. 12
B. 11
C. 10
D. 9
Answers
Answer:
C. 10
Step-by-step explanation:
The values on the left are proportional to the values on the right. You can write the ratios different ways, but the one I chose is ...
6/15 = x/25
6·25/15 = x = 150/15 = 10
The value of x is 10.
Can someone help please
Answers
Answer:
740
Step-by-step explanation:
If x and y represent the numbers of cans Cannon and Haslyn collected, respectively, then the expression x+y represents the total number of cans the two of them collected. The problem statement tells you that, together, they collected 740 cans. The value of x+y is 740. The first equation gives that value the name "A", which means ...
A = 740