a spinner has 8 sections 2 purple 2 yellow 3 blue and 1 red what is the probability of spinning and landing on a blue or purple section
Answer:
5/8 is the probability.
Step-by-step explanation:
Write an equation based off this trigonometric graph.
Answer(s):
[tex]\displaystyle y = 4cos\:(2x - \frac{\pi}{2}) - 1 \\ y = 4sin\:2x - 1[/tex]
Explanation:
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{\pi}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]
OR
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\pi} \hookrightarrow \frac{2}{2}\pi \\ Amplitude \hookrightarrow 4[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 4cos\:2x - 1,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{4}\:unit[/tex] to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{\pi}{4}\:unit,[/tex] which means the C-term will be positive, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{\pi}{4}} = \frac{\frac{\pi}{2}}{2}.[/tex] So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(2x - \frac{\pi}{2}) - 1.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-\frac{\pi}{4}, -5],[/tex] from there to [tex]\displaystyle [\frac{3}{4}\pi, -5],[/tex] they are obviously [tex]\displaystyle \pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle \pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -1,[/tex] in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
Find all the missing elements.
Round to the nearest tenth.
a = 5
b = 2
C = 6
A= [?]°
B = [ ]
C = [ ]
Answer: A= 51.3 B= 18.2 C=110.5
Step-by-step explanation:
The missing elements in the triangle are A ≈ 3.992°, B ≈ 170.008°, and c ≈ 5.4 units
To find the missing angle 'A', we can use the law of cosines, which states that for any triangle with sides 'a', 'b', and 'c' and opposite angles 'A', 'B', and 'C', the following relationship holds:
c² = a² + b² - 2ab * cos(C)
Plugging in the known values, we get:
c² = 5² + 2² - 2 * 5 * 2 * cos(6)
Now, we can solve for 'c':
c² = 29 - 20 * cos(6)
c² ≈ 28.8178
c ≈ √28.8178
c ≈ 5.4 (rounded to the nearest tenth)
Now that we have the value of side 'c', we can find angle 'A' using the law of sines, which states that for any triangle:
sin(A) / a = sin(C) / c
Plugging in the known values:
sin(A) / 5 = sin(6) / 5.4
Now, solve for 'sin(A)':
sin(A) = 5 * sin(6) / 5.4 sin(A) ≈ 0.0698
Now, find the value of angle 'A' using the inverse sine (sin⁻¹) function:
A ≈ sin⁻¹(0.0698)
A ≈ 3.992° (rounded to the nearest tenth)
Finally, to find angle 'B', we can use the fact that the sum of angles in any triangle is 180 degrees:
B = 180 - A - C
B = 180 - 3.992 - 6
B ≈ 170.008° (rounded to the nearest tenth)
To know more about triangle here
https://brainly.com/question/8587906
#SPJ2
What is the equation of a line that is perpendicular to y = 2x + 4 and passes through the point (4, 6)? A. y=1/2x+4 B y=-1/2x+6 C y=-1/2x+4 D y=-1/2x+8
Answer:
y = -1/2x + 8
Step-by-step explanation:
y = -1/2x + b
6 = -1/2(4) + b
6 = -2 + b
8 = b
How will the graph of
f(x)=2(3x)
be different from
g(x)=2(3x−2)
Answer:
g(x) is shifted left by two units
Determine the slope from the given graph below:
Answer:
y = -2x - 3
Step-by-step explanation:
Answer:
y=(10×10)÷(1-2) =N
Step-by-step explanation:
y -is the numerical angle of triangle
10×10because the triangle have a ten angle
1-2 cause the line of triangle
how to do compound and simple interest
Answer:
We can compute simple interest by finding the interest rate percentage of the amount borrowed, then multiply by the number of years interest is earned. Another type of interest calculates interest on both the money initialy deposited as well as the interest money earned, and is called compound interest.
Step-by-step explanation:
hope this helps
Ok is 3 plus 3 is 6 doesnt that mean 6 plus 6 is 12 ?
Answer:
yes
Step-by-step explanation:
3+3=6
6+6=12
so yes, that statement is correct
Answer: yes this statement is completely correct.
Step-by-step explanation:
(Don't answer if unsure) If the triangle rotated 360 degrees to the right, where would the plotted points be? (Coordinates are (-8,2) (-8,8) (-4,2)
Answer:
Step-by-step explanation:
A correct answer can only be obtained from a complete question.
A rotation is not always about the origin, but in the absence of information, this will be assumed.
Rotating to the right is assumed to mean rotated from the second towards the first quadrant about the origin.
Rotating any shape about the origin by 360° will always return to the original (starting) position, so the final coordinates will be (-8,2) (-8,8) (-4,2).
11. The temperature in Kingstown was 8.1°C at 5:00 p.m. By 11:00 p.m., the temperature
had dropped by 14.8°C. Which is the best estimate of the temperature in Kingstown at
11:00 p.m.?
A. -23°0
B. -7°c
C -6°
D. 0°C
Answer:
B) -7°c
Step-by-step explanation:
the courthouse is the tallest building in the city. if it is 7 1/2 inches tall in the model, how tall is the actual building?
the scale of the model is 1 inch = 9 feet
Answer:67.6
Step-by-step explanation:
There are 3 types of bills, 4 quarters, and 5 dimes in Mrs. Short's wallet. The contains twice as many 1 bills as 5 dallor bills. The number of 20 dallors multiplied by 2 is 7 more than the total number of 1 dallor and 5 dallor combined. How mnay of each type of bill is in Mrs. Short's wallet if it contains a total of 182.50 dallors
Step-by-step explanation:
$182.50-$1.50=$181.00. Answer??
24.8x45.67 plz help will mark Brainliest
Answer: 1132.616
lol-
please help!!!I don’t know how to solve
Step-by-step explanation:
formula for the first question:
a^2+b^2=c^2
8^2+6^2= 100
√100 = 10cm
How to write an equation in point -slope form for each line
F/R/E/E P/O/I/N/T/S
Answer:
tysm!!
Step-by-step explanation:
[tex]have[/tex] [tex]a[/tex] [tex]great[/tex] [tex]day[/tex] [tex]:)[/tex]
AAAAAAA THANK YOU :D
8. Which of the following cannot be written as an expression? *
F. six times a number less nine
G. eight times the quotient of 6 and 3
H. the difference between a number and 12
J. five times a number is 30
Answer:
f
Step-by-step explanation:
because it's less than mine not less nine
A jar contains 900 beans. Of all the beans, 7/10 are white beans and the rest are azuki beans. What is the ratio of white beans to azuki beans?
Answer:
Given that in the jar, navy beans and white beans in a ratio of 1:9. Let the amount of navy beans be x.
Then, the amount of white beans in the jar is 9x.
Given that amount of navy beans is x=90
Total amount of beans in the jar is x+9x=10x=10+90=900
So the ratio is 1:9
Step-by-step explanation:
The CSU Tropical Meteorology Project team predicts 17 named storms during the Atlantic hurricane season. Of those, researchers expect eight to become hurricanes and four to reach major hurricane strength (Saffir/Simpson category 3-4-5) with sustained winds of 111 miles per hour or more.
What is the predicted probability that out of the 17 named storms will actually produce hurricanes? _________
Answer:
the answer is 1 5/12
Daniel drew a toy from a treasure chest containing 30 different toys. He selected a bouncy ball without replacement and then selected a key chain. What is the probability this could occur
Answer:
[tex]Pr = \frac{1}{870}[/tex]
Step-by-step explanation:
Given
[tex]n =30[/tex]
Required
Probability of selecting 2 toys of different types
From the question, we understand that all toys are different i.e. 1 of each type.
And the selection is without replacement;
So, after the first toy is selected; there are n - 1 toys left.
So, the probability is:
[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]
Substitute [tex]n =30[/tex]
[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]
[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]
[tex]Pr = \frac{1}{30*29}[/tex]
[tex]Pr = \frac{1}{870}[/tex]
Pt.2
What is the median number of books read?
Answer options with 5 options
A.5
B.8
C.9
D.10
E.11
1 point
What is the value of x? Round to the nearest tenths place
15 ft
13 ft
х
Answer:
7.5
Step-by-step explanation:
The values 15ft, 13ft and x are the sides of a right triangle;
According to pythagoras theorem;
15² = 13²+x²
x² = 15² - 13²
x² = 225 -169
x² = 56
x = √56
x = 7.48
Hence the value of x to the nearest tenth is 7.5 to the nearest tenth
Solve the equation 5y + 7x = -2 for y. оу — --- 7 X y=-10 – 35x o y = 35x – 10 y=
Answer:
y = [tex]-\frac{7}{5} x - \frac{2}{5}[/tex]
Step-by-step explanation:
5y + 7x = -2
5y = -7x - 2
y = -(7x)/5 - 2/5 = [tex]-\frac{7}{5} x - \frac{2}{5}[/tex]
9 books are to be bought by a student. Some cost $6 and the remainder cost $3 each. if the total amount spent was $39, how many of each are bought?
Please explain your answer.
Answer:
four nine dollar books
Step-by-step explanation:
36 divivded by 9
Jake is the starting quarterback on his school's football team. He has completed 37 of his 63 passes this season. Which of the
following values is closest to his percentage of pass completions this season?
Answer:
59%
Step-by-step explanation:
37 over 60 besides a 1 over 100
37 1
=
63 100
cross multiply
37(100)=63(1)
3700=63
3700 divided by 63 = 58.7301..... which you can round up to 59%
In parallelogram ABCD, angle B is 75. Find the measure of angle D
Answer:
answer: 75
Hope that helps you!
are these two answers correct?
(angle sums triangles)
Answer:
the answer for the first is 22°
the answer for the second is 83°
Answer:
x = 22°x = 83°Step-by-step explanation:
1.
The sum of all the interior angles of a triangle is equal to 180°. So, 90°+29°+(39°+x) = 180°.
2.
For the triangle on the right, the measure of 1 angle is not given. To find that out, make use of the angle in 112°: 180°-112° = 68°.
Then, we are able to find x by angle sum of triangles.
68°+29°+x = 180°.
HELP ME PRE-CALC PROBLEM DUE TONIGHT!!! THANK YOU!! Use the tables below to find the given limits (if one of them is DNE - does not exist - explain why).
Answer:
2.) 6
3.) 13
4.) 8
5.) DNE (because limit from the right does not equal limit from the left)
Step-by-step explanation:
Did anybody laugh when the ice skater fell down?
Answer:
okkkkkkk ty for he points
Step-by-step explanation:
Answer:
Ty
Step-by-step explanation:
Please help will give brainlist
Answer:
It would be option 2.
Step-by-step explanation:
This is because option 1 does not have a irrational number that goes on indefinitely, option three has the square root of 25, which equals 5 meaning it is rational, and the last option also gives us rational choices. Therefore, the only possibility is that it would be option 2.