250 lottery tickets were sold and there are 5 prizes on these ticket if Kunal has purchased one lottery ticket what is the probability that he wins a prize
Total number of tickets sold = 250
Number of prizes = 5
Number of favorable outcomes = 5
[tex]P(A)= \frac{no. of possible outcomes}{No. of total outcomes} [/tex]
[tex]P (getting \: a \: prize) = \frac{5}{250} =\frac{1}{150}[/tex]
PLEASE HELP ME |x-5|+|x+5| if x>5
Answer:
If you don't understand handwriting
then comment ok
Simplify and write the trigonometric expression without any fractions: tan(u)+cot(u)
Answer:
[tex]\csc(u).sec(u)[/tex]
Step-by-step explanation:
[tex] \tan(u)+ \cot(u) \\ \\ = \frac{ \sin(u)}{ \cos(u)} + \frac{ \cos(u)}{ \sin(u)} \\ \\ = \frac{ { \sin}^{2} (u) + {\cos}^{2} (u)}{ \sin(u). \cos(u)} \\ \\ = \frac{1}{ \sin(u). \cos(u)} \\ ( \because \: { \sin}^{2} ( \theta) + {\cos}^{2} ( \theta) = 1) \\ \\ = \frac{1}{\sin(u)} \times \frac{1}{\cos(u)} \\ \\ = \csc(u).sec(u) \\ \\ \implies \: \purple{ \bold{ \tan(u)+ \cot(u) = \csc(u).sec(u)}}[/tex]
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
(Sin²u + Cos²u) = 1
The final expression of the trigonometric expression tan(u) + cot(u) is
Cosec(u) x Sec(u)
What are trigonometric identities?
There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Tan (u) + Cot (u)
We know that,
Tan x = sin x / cos x
Cot x = cos x / sin x
Now,
Tan (u) + Cot (u)
= {Sin (u) / Cos (u) + Cos (u)}/ Sin (u)
Simplify by forming into a fraction.
= (Sin²u + Cos²u) / Sin(u)Cos(u)
[ sin² + cos² = 1 ]
So,
(Sin²u + Cos²u) = 1
= 1 / Sin(u)Cos(u)
= 1/Sin(u) x 1/Cos(u)
= Cosec(u) x Sec(u)
Thus,
The final expression of the trigonometric expression tan(u) + cot(u) is
Cosec(u) x Sec(u)
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J F F 570 K po 142° G H Find the value of x.
Answer:
I'm stuck on the same question
Step-by-step explanation:
find GCF of 40 and 120
Answer:
Hi there!
Find the GCF of 40 and 120The GCF of 40 and 120 is 4040 ÷ 40 = 1
120 ÷ 40 = 3
Hope its help!Refer to Figure 8-9. The loss of producer surplus as a result of the tax is a. $3,000. b. $6,000. c. $9,000. d. $12,000.
The loss in producer surplus as a result of the tax given the information in the diagram is $9000.
What is the loss in the producer surplus?Producer surplus is the difference between the price of a good and the least price the seller is willing to sell the product
The dead weight loss of tax can be determined by calculating the reduction in total surplus as a result of the tax
Loss = (1/2 x 600 x 40) - (1/2 x 300 x 20)
12000 - 3000 = $9000
Please find attached the complete question. To learn more about surplus, please check: https://brainly.com/question/25816093
Find the x- and y-intercepts of the quadratic function below. Give non-integer
coordinates in fractional form.
f(x) = 2x2 - 5x + 3
-
Answer:
Step-by-step explanation:
At the movie theatre , child admission is $ 6.40 and adult admission is $ 9.60 . On Monday , 153 tickets were sold for a total sales of $ 1270.40 . How many adult tickets were sold that day ?
Answer:
91 adult tickets
Step-by-step explanation:
Algebra is really useful here:
Let a = number of adult tickets sold and c = number of child tickets sold.
Thus, we can say that
a + c = 153 (number of tickets)
6.40c + 9.60a = 1270.4. (cost of all of the tickets)
Solving,
c = 153 - a
6.40(153 - a) + 9.60a = 1270.4
979.2 - 6.40a + 9.60a = 1270.4
3.20a = 291.2
a = 91
40 Points !!!!
Find the slope of line e.
a. -1/2
b. 1/2
c. -2
d. 2
Which rule(s) represents a linear function?
Answer:
f(x) = ax + b, where a and b are real numbers.
Allie and Roman are now trying to graph the red line shown here.
Allie entered this equation: y=-2
Roman entered this equation: x=-2
Who is right, and how do you know?
If you roll a dice 500 times how many times do you expect to get a 5?
Answer:
20
Step-by-step explanation:
60%
I took the Integrity Pledge.
Do I put True or False ?
True or False
What does integrity mean?
Answer:
a little confusing, but i think its a fake quiz that asks for your pledge so you put true, and integrity: the quality of being honest and having strong moral principles; moral uprightness
Step-by-step explanation:
Pls help!!!!!!!!!!!!!!!!!!!!
Answer:
step 1,×+8=_2
step2,×=_2_8
step3,×=_10
NEED HELP!
What is the zero of the function?
f (x) = x2+x-42/x2+3x-28
Enter your answer in the box.
[tex]f(x)=\cfrac{x^2+x-42}{x^2+3x-28}\implies \stackrel{f(x)}{0}=\cfrac{x^2+x-42}{x^2+3x-28}\implies 0 = x^2+x-42 \\\\\\ 0=(x+7)(x-6)\implies x= \begin{cases} 6\\ -7 \end{cases}[/tex]
Find the perimeter and area of the following figure.
10 ft
5 ft
8 ft
3 ft
Answer:
33ft
Step-by-step explanation:
1. Work out the missing length.
2.10-3=7 so it is 7.
10+5+8+3+7=33ft
Let R be the shaded region bounded by the graphs of y = e^x, y = -1, x = 1, and the y-axis. R is the base of a solid with cross sections perpendicular to the x-axis as squares. Find the volume of the solid.
Answer:
get a graphing caculator and type the numbers in the rectangle and see what you get
Step-by-step explanation:
What is the equation of the line in slope-intercept form -8 and 8 ?
Answer:
y = x - 8
Step-by-step explanation:
y = x - 8
Check your answer using (0, -8):
y = x - 8
-8 = 0 - 8
-8 = -8
This statement is true
Also, view the attached graph.
Hope this helps!
Use the given parent function f(x)=|x| to graph g(x)=|x+2|−4. Use the ray tool and select two points to graph each ray.
Answer:
g(x) is the translation of f(x) 2 units to the left and 4 units down
As a waitress, Willow earns an average of 18% tips on all food sales. Last week she worked five days and sold an average of $381.00 in food each day. How much did Willow earn in tips last week? (4 points)
$68.58
$104.27
$342.90
$396.91
The Amount in tip was first computed which is $68.58 per day, in five days, Willow will earn $342.90 in tips
Percentage of NumbersGiven Data
Tip = 18%Amount earned each day = $381.00Let us find the amount of tip earned per day
Amount in tip = 18/100*381.00
Amount in tip = 0.18*381.00
Amount in tip = 68.58
Hence, for five days, her tip will be
= 68.58*5
= $342.90
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Simply the expression 3(2y - 8) - 2y(5-y)
Answer:
-4y - 24 + 2y²
Step-by-step explanation:
1. Simplify the distributive properties
⇒ 3(2y - 8) - 2y(5 - y)
⇒ 6y - 24 - 10y + 2y²
2. Combine like terms
⇒ 6y - 24 - 10y + 2y²
⇒ y(6 - 10) - 24 + 2y²
3. Simplify the expression
⇒ y(6 - 10) - 24 + 2y²
⇒ -4y - 24 + 2y²
I will mark you brain list and Give you 90 point if you do it right and answer right thanks
Answer:
11 Students
Step-by-step explanation:
It is hard to explain in my opinion but I can try. For the stem column you, basically factor out the first digit of the number. Then the leaf column you, put the second digit of each number in your data set.
Answer:
Step-by-step explanation:
The fuel tank of chris new lawn mower holds 1/2 gallon of gasoline chris poured 0.4 gallons into the tank did chris fill the tank explain?
What is the median of this data set?
{13, 13, 13, 15, 15, 16, 16, 17, 17}
{13, 13, 13, 15, 15, 16, 16, 17, 17}
the median is 15
Answer:
it is 15.
Step-by-step explanation:
the median is the middle number in the data set. in this case, 15 is in the middle.
Eliana draws a quadrilateral that has sides measuring 12 centimeters, 10 centimeters , 12 centimeters, and 10 centimeters in length. The angles are NOT right angle. What type of quadrilateral did Eliana draw?
Answer:
parallelogram
Step-by-step explanation:
opposite sides are congruent so this meets the minimum requirement to be a parallelogram.
What is the equation of a circle with center (−5, −8) and radius 2?
(x − 5)2 + (y − 8)2 = 4
(x + 5)2 + (y + 8)2 = 4
(x + 5)2 + (y + 8)2 = 2
(x − 5)2 + (y − 8)2 = 2
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Standard equation of circle ~
[tex]\qquad \sf \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]
where,
h = x - coordinate of centre k = y - coordinate of centrer = radius of the circle
Now, let's plug in the values ~
[tex]\qquad \sf \dashrightarrow \:(x - (5)) {}^{2} + (y - ( - 8)) {}^{2} = {2}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:(x + 5) {}^{2} + (y + 8) {}^{2} = {4}^{} [/tex]
Therefore, the correct choice is B
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The equation of the circle with a center of (4,5) and a radius of 2 units is (x + 5)² +(y + 8)² = 4
How to determine the circle equation?The center of the circle is given as:
Center (a,b) = (-5, -8)
The radius is given as:
Radius, r = 2
The equation of the circle is calculated using:
(x - a)² + (y - b)² = r²
Substitute values for r and (a,b)
(x + 5)² +(y + 8)² = 2²
Evaluate the square of 2
(x + 5)² +(y + 8)² = 4
Hence, the equation of the circle is (x + 5)² +(y + 8)² = 4
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∠45° is complementary to which of the following angles?
∠45°
∠135°
∠315°
∠55°
The answers people keep on giving is 90 but it doesnt say it here. Can someone help me?
Answer:
45°
Step-by-step explanation:
complementary angles add up to 90° so it's 90-45
A garden table and a bench cost $668 combined. The garden table costs $82 less than the bench. What is the cost of the bench?
Step-by-step explanation:
let the cost of the bench = x
the cost of the garden table = x + 82
x + (x + 82) = 668
2x + 82 = 668
2x = 586
x = 293
The bench costs $293 and the garden table costs 293 + 82 = $375
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Whats 0.3(x-5)=7.2 as a numerical
Answer:
x=29
Step-by-step explanation:
0.3(x-5)=7.2
multiply by 10
3(x-5)=72
divide by 3
[tex]x-5=\frac{72}{3} \\x-5=24\\x=24+5\\x=29[/tex]
Find all the common factors of 9 and 15.
A) 1, 3
B) 1, 3, 9
C) 1, 3, 5, 9
Answer:
A common factor is a whole number which is a factor of two or more numbers.
[tex]factors \: of \: 9 = 1 \times 3 \times 3[/tex]
[tex]factors \: of \: 15 = 1 \times 3 \times 5[/tex]
since both of the numbers have only 1 and 3 in common.
therefore ,
Option A is correct.
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Additional information
★ The highest common factor (HCF) is the greatest factor that will divide into two or more numbers.
★ The lowest common multiple (LCM) is the smallest multiple that is common to two or more numbers.
hope helpful :D