Kitzen has entered a raffle along with other students in her class. The table shows how many raffle tickets each student entered. There will be two winners to the raffle. What is the probability that Kitzen’s name will be drawn twice? Use a / to represent a fraction bar.
Answers
Answer:
12/48=1/4(Simplified)
Step-by-step explanation:
The probability that Kitzen’s name will be drawn twice is 1/23.
What is the probability?"The probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes".
For the given situation,
The table shows the number of students and the number of raffle tickets.
Kitzen's number of raffle tickets = 12
Ava's number of raffle tickets = 16
Sam's number of raffle tickets = 11
Josie's number of raffle tickets = 9
The event is that the Kitzen’s name will be drawn twice, n(e) = 2(12)
The total number of raffle tickets, n(s) = 48
Thus the probability that Kitzen’s name will be drawn twice,
[tex]P(e)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(e)=\frac{2(12)}{48}[/tex]
⇒ [tex]P(e)= \frac{1}{2}[/tex]
Hence we can conclude that the probability that Kitzen’s name will be drawn twice is 1/23.
Learn more about probability here
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Related Questions
The table shows the number of cups of water required when cooking different amounts of rice.
Amount of
Rice
(cups) Amount of
Water
(cups)
2 5
3 7.5
5 12.5
8 20
Which statements apply to the ratio of rice and water? Choose two options.
The amount of rice is the dependent value.
The amount of water is the dependent value.
The amount of rice is the independent value.
The amount of water is the independent value.
The values cannot be labeled as dependent or independent without a given equation
Answers
Answer:
The amount of water is the dependent value.The amount of rice is the independent value.Step-by-step explanation:
The wording "the amount of water required for different amounts of rice" suggests that the "output" value of the table is the amount of water, and the "input" value is the amount of rice.
That makes "water" the dependent variable, and "rice" the independent variable.
The amount of water is the dependent value.
The amount of rice is the independent value.
Answer:
The amount of water is the dependent value.
The amount of rice is the independent value.
Step-by-step explanation:
Jason earned $54 at his job when he worked for 4 hours. What was his hourly pay rate in hours per dollar?
Answers
Answer:
$13.50
Step-by-step explanation:
$54 divided by 4 is $13.50.
40/27 ,20/9, 10/3 what is the next term in the geometric sequence ?
Answers
Answer:
5/1
Step-by-step explanation:
40/27
20/9
10/3
5/1
divided by 2 and 3 each other!
Tell the measure of the angles In degrees 1/4
Answers
Answer:
so 1/4 of a circle is 90 degrees 1/4 is equal to 90 over 360 C it's 90 parts of 360. so here we go with this one. this angle is 20 degrees remember that's 90 alright the square one and this little part would be 20 degrees each angle appears wider as the Rays get longer.
Step-by-step explanation:
Let me know if this help's you lol :)
12 divided by 9 tenths and hundredths
Answers
The vertices of ΔDEF have coordinates D(–1, 2), E(3, 3), and F (2, –4).What are the coordinates of the vertices of r(90°, O)(ΔDEF)?
Answers
Answer:
D,E
Step-by-step explanation:
hope I helped
The estimate obtained from a sample of which of the following sizes would most likely be closest to the actual parameter value of a population?
A.15
B. 75
c. 45
d. 150
Answers
Answer:
d 150
Step-by-step explanation:
Answer:
150
Step-by-step explanation:
Can y’all answer this or not !?
Answers
Answer:
b
Step-by-step explanation:
Answer:
x=417.6
Step-by-step explanation:
Let's solve your equation step-by-step.
0.5x+78.2=287
Step 1: Subtract 78.2 from both sides.
0.5x+78.2−78.2=287−78.2
0.5x=208.8
Step 2: Divide both sides by 0.5.
0.5x divided by 0.5
208.08 divided by 0.5
A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/4 of what remained. How many copies does the bookstore have left?
Answers
Answer:
30
Step-by-step explanation:
1/3 of 60 is 20
40 would be left
1/4 of 40 is 10 so 30 would be left
-3b+7=13 solve for b
Answers
Answer:
b = -2
Step-by-step explanation:
Start with your given:
-3b + 7 = 13
Subtract 7 on both sides:
-3b = 6
Then, divide -3 on both sides and solve:
b = -2
Answer:
b = -2
Step-by-step explanation:
You start by subtracting the 7 on the left and move it to the other side. Then you have 6 on the right and -3b on the left. Then you divide the -3 on each side and that gives you b= -2.
Hope this helps.
Suppose r⃗ (t)=cos(πt)i+sin(πt)j+5tkr→(t)=cos(πt)i+sin(πt)j+5tk represents the position of a particle on a helix, where zz is the height of the particle. (a) What is tt when the particle has height 2020? t=t= (b) What is the velocity of the particle when its height is 2020? v⃗ =v→= (c) When the particle has height 2020, it leaves the helix and moves along the tangent line at the constant velocity found in part (b). Find a vector parametric equation for the position of the particle (in terms of the original parameter tt) as it moves along this tangent line.
Answers
Answer:
a) t = 4
b) v = pi j + 5 k
c) rt = 1i + (pi t) j + (20 +5t )k
Step-by-step explanation:
You have the following vector equation for the position of a particle:
[tex]r(t)=cos(\pi t)\hat{i}+sin(\pi t)\hat{j}+5t\hat{k}[/tex] (1)
(a) The height of the helix is given by the value of the third component of the position vector r, that is, the z-component.
For a height of 20 you have:
[tex]5t=20\\\\t=\frac{20}{5}=4[/tex]
(b) The velocity of the particle is the derivative, in time, of the vector position:
[tex]v(t)=\frac{dr(t)}{dt}=-\pi sin(\pi t)\hat{i}+\pi cos(\pi t)\hat{j}+5\hat{k}[/tex] (2)
and for t=4 (height = 20):
[tex]v(t=4)=-\pi sin(\pi (4))\hat{i}+\pi cos(\pi (4))\hat{j}+5\hat{k}\\\\v(t=4)=-0\hat{i}+\pi\hat{j}+5\hat{k}[/tex]
(c) The vector parametric equation of the tangent line is given by:
[tex]r_t(t)=r_o+vt[/tex] (3)
ro: position of the particle for t=4
[tex]r_o=cos(\pi (4))\hat{i}+sin(\pi (4))\hat{j}+20\hat{k}\\\\r_o=\hat{i}+0\hat{j}+20\hat{k}[/tex]
Then you replace ro and v in the equation (3):
[tex]r_t=(1\hat{i}+20\hat{k})+(\pi \hat{j}+5\hat{k})t\\\\r_t=1\hat{i}+\pi t \hat{j}+(20+5t)\hat{k}[/tex]
Part(a): The value of [tex]t=4[/tex]
Part(b): Required vector [tex]L(t)=(1\widehat{i}+0\widehat{j}+10\widehat{k})+(t-4)(0\widehat{i}+\pi \widehat{j}+5\widehat{k})[/tex]
Given vector equation is,
[tex]r(t)=cos(\pi t)\widehat{i}+sin(\pi t)\widehat{j}+5t\widehat{j}[/tex]
Vector equation:
A vector is an object that has both a magnitude and a direction. Geometrically, we can picture a vector as a directed line segment, whose length is the magnitude of the vector, and with an arrow indicating the direction.
Part(a):
When the particle has a height of 20
[tex]5t=20\\t=4[/tex]
Part(b):
The point on the curve is [tex](cos(4\pi),sin(4\pi),20) =(1,0,20)[/tex]
Differentiating the given equation with respect to [tex]t[/tex].
[tex]r'(t)=- \pi sin(\pi t)\widehat{i}+\pi cos(\pi t)\widehat{j}+5\widehat{k}\\r'(t)=- \pi sin(4\pi t)\widehat{i}+\pi cos(4\pi t)\widehat{j}+5\widehat{k}\\r'(4)=0\widehat{i}+\pi \widehat{j}+5\widehat{k}\\L(t)=r(4)+(t-4)r'(4)\\L(t)=(1\widehat{i}+0\widehat{j}+10\widehat{k})+(t-4)(0\widehat{i}+\pi \widehat{j}+5\widehat{k})[/tex]
Learn more about the topic Vector equation:
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Which of the following are perfect squares? Check all that apply.
Answers
Answer: 16, 64, and 49
Step-by-step explanation: Perfect squares are products made by squaring or multiplying a whole number by itself twice.
11 is not a perfect square since nothing can
be multiplied by itself to give us 11.
The same is true for 62 and 15.
16 is a perfect square since it's possible to find a whole number that can be multiplied by itself to give us 16.
That number is 4 since 4 × 4 = 16.
64 is also one since 8 can be multiplied by itself twice to give us 64.
49 is also one since 7² or 7 × 7 is 49.
Answer:D,E and F
Step-by-step explanation:
Perfect squares are numbers in which their square roots are whole numbers.
From the options
√16 =4
√64 =8
√49 =7
What are the roots of y = x2 – 3x – 10?
0-3 and -10
-2 and 5
X 2 and -5
3 and 10
Answers
Answer:
x = 5 x = -2
Step-by-step explanation:
y = x^2 – 3x – 10
Set the equation equal to zero
0= x^2 – 3x – 10
Factor
What 2 numbers multiply to -10 and add to -3
-5 *2 = -10
-5+2 = -3
0=(x-5) ( x+2)
Using the zero product property
x-5 = 0 x+2 = 0
x = 5 x = -2
Answer:
-2 and 5
Step-by-step explanation:
trust
A child is laying on the ground relaxing and looking up at a plane that is passing by. If the plane’s altitude is 33,500 feet and the child’s eyes are located 8,200 feet away from a point on the ground directly beneath the plane, what is the angle of elevation for the child’s line of sight to the plane?
Answers
Answer:
about 76.2°
Step-by-step explanation:
The geometry can be modeled by a right triangle with the given dimensions being the side opposite the angle (height = 33,500 ft) and the side adjacent to the angle (8,200 ft). The fact that you know these two sides suggests the inverse of the tangent function may be useful.
Tan = Opposite/Adjacent
tan(angle) = (33,500/8,200)
angle = arctan (335/82) ≈ 76.246°
The angle of elevation is about 76.2°.
Given: 5(x + 2) - 3 = 4(x - 1)
Prove: x = -11
Statement Reason
5(x + 2) - 3 = 4(x - 1) given
5x + 10 - 3 = 4x - 4 [?]
5x + 7 = 4x - 4 addition
5x = 4x - 11 subtraction
x = -11 subtraction
Answers
Answer:-11 proved
Step-by-step explanation:
5(x+2)-3=4(x-1)
Open brackets
5x+10-3=4x-4
Collect like terms
5x-4x=-4+3-10
x=-11
Find the length of the right triangle’s other leg. Round to the nearest tenth.
leg = 10 ft
hypotenuse = 12 ft
Answers
Answer: 17.32
Step-by-step explanation:
Two forces are acting on an object at the same point. Determine the angle between the two forces. (-2,7) and (3,-1)
Answers
Answer:
It is 124 degrees.
Step-by-step explanation:
You square each coordinate like this:
sqrt(x^2+y^2 )
You will end up getting sqrt(53 and sqrt(10.
Then find the dot product which is -6+-7=-13.
Then cos^-1(-13/sqrt53*sqrt10)
=124 degrees
g(x) = 9x plug in g(9)
Answers
Answer:
81
Step-by-step explanation:
replace x with 9 so it's 9x9 which is 81
Answer:
g(9) = 81
Step-by-step explanation:
g(x) = 9x
g(9) = 9(9) = 81
If ItsAkelia (me) had 1M subs and M00dybear had 1M who had more?
(not real sub count but just asking)
Answers
Answer:
If you both have 1M subs then its the same, not one person has more
Can anyone help please? With questions 4 please
Answers
Answer:
a. The area of the garden is 11.68 [tex]m^{2}[/tex]
b. $192 and then $177
Step-by-step explanation:
a. 7.5-2.6 = 4.9, so the rectangular part is 4.9 x 1.3 = 6.37
then [tex]\pi r^{2}[/tex] is the area of a circle, but the 2 ends together are 1/2 the circle
so [tex]\pi *1.3^{2}[/tex] = 5.31, The area of the garden is 11.68 [tex]m^{2}[/tex]
b. 11.68/.75=15.57, so you have to buy 16 bags (can't buy a partial bag)
16*$12=$192, then 5($33)+$12=$177
A class of 64 students was given 320 book how many will each students take home
Answers
Each student will take=320/64
=5
So the answer is 5.
Hope it will be helpful to you...
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Kelly needs 1/8 cups of sugar to make 1/4 of her cookie recipe. How much sugar does she need to make the entire recipe?
Answers
Answer:
1/2 cup of sugar
Step-by-step explanation:
She needs to multiply 1/8 cup of sugar by 4 to make the entire recipe since 18 cup of sugar is only good for a fourth of the recipe.
If AB = 10, what is the length of DE?
11
5
12
3
Answers
Answer:
11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
Write an equation that is parallel to the line y=3x-5 and passes through the point (-1,2)
Answers
So The slope must be 3.
2=3(-1)+a
a=5
y=3x+5
Which of the following expressions has the greatest value?
3^3 2^5 1^10 5^2
Answers
Answer:
2^5
Step-by-step explanation:
2^5 = 32
3^3=27
1^10 =1
5^2 = 25
Answer:
2^5
Step-by-step explanation:
Look at the attachment
Assume the average weight of an American adult male is 180 pounds with a standard deviation of 34 pounds. The distribution of weights follows a normal distribution. What is the probability that a man weighs somewhere between 120 and 155 pounds?
Answers
Answer:
Step-by-step explanation:
Find a-score of both
z-score = (x-mean)/SD
for 120
z =( 120- 180)/34 = -1.765
For 155
z = (155-180)/34 = -0.735
The probability to look for using z-score table is;
P(-1.765<z<-0.735) = 0.19239
An equivalent equation has been written by multiplying the second equation by 2.
4x – 9y = 7 → 4x – 9y = 7
2(–2x + 3y = 4) → –4x + 6y = 8
What is the solution to the system?
Answers
Answer:
its A
Step-by-step explanation:
ED 2020
Solve for a,b,and/or c
Help solve ASAP!
Answers
Answer:
a=90-67=23°
.................
The (average) sales price for single family property in Seattle and Port Townsend is tabulated below.
Year Seattle Port Townsend
1970 $38,000 $8,400
1990 $175,000 $168,400
Find a linear model relating the year x and the sales price y for a single family property in Seattle.
Answers
Answer:
[tex]y=6,850x - 13,456,500[/tex]
Step-by-step explanation:
To find the linear model, we need to find a linear equation, where its slope is defined as
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
So, we use the given points (1970, 38000) and (1990, 175000), to find the slope
[tex]m=\frac{175,000-38,000}{1990-1970}=\frac{137,000}{20} =6,850[/tex]
Now, we use the point-slope formula to find the equation
[tex]y-y_{1} =m(x-x_{1} )\\y-38000=6850(x-1970)\\y=6850x-13,494,500+38,000\\y=6,850x - 13,456,500[/tex]
Therefore, the linear model is
[tex]y=6,850x - 13,456,500[/tex]
arc length of a half of a circle with radius of 9
Answers
Answer:28.26
Step-by-step explanation:
Φ=180 since it's in a straight line
Radius=r=9
π=3.14
Length of arc=Φ/360 x 2 x π x r
Length of arc=180/360 x 2 x 3.14 x 9
Length of arc=0.5 x 2 x 3.14 x 9
Length of arc=28.26
