Using the hypergeometric distribution, it is found that there is a 0.1363 = 13.63% theoretical probability of 5 students from your school being selected as contestants out of 10 possible contestant spots.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.The values of the parameters are given as follows:
N = 130, k = 40, n = 10.
The theoretical probability of 5 students from your school being selected is P(X = 5), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 5) = h(5,120,10,40) = \frac{C_{40,5}C_{80,5}}{C_{120,10}} = 0.1363[/tex]
0.1363 = 13.63% theoretical probability of 5 students from your school being selected as contestants out of 10 possible contestant spots.
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Identify the domain of the function shown in the graph.
Based on the function shown on the graph, we can find the domain to be C. x ≥ 0.
What is the function's domain?The domain refers to where all the values of x and y for the function fall within the graph.
As seen from the graph, there is no negative value of x and the lowest value of x is 0.
The domain for x is therefore:
x ≥ 0.
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AB is tangent to circle O at B. The diagram is not drawn to scale. If AB =15 in and AO =20, what is the length of the radius (r)? Round the answer to the nearest tenth.
The length of the radius (r) to the nearest tenth is 13.2
What is Pythagoras theorem?The theorem states that the square of the longest side is equal to the sum of the square of other two sides.
In order to determine the radius of the circle, we will use the theorem above to have:
AO² = AB² +r²
Given
AB = 15
AO = 20
Substitute
20² = 15² +r²
r² = 400 - 225
r² = 175
r = 13.2
Hence the length of the radius (r) to the nearest tenth is 13.2
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PLEASE HELP!! 50 POINTS!!!!!
Answer:
3\2 is the marked
y cos x,=2
3\2=0.5
x=0.5*2=3.0
=3.0*2=6.0
Find the area of AAOB
9√3 un²
3√3 un²
4.5√3 un
Answer:
Step-by-step explanation:
The area of the equilateral triangle is [tex]\frac{\sqrt{3}}{4}(6)^{2}=\boxed{9\sqrt{3}}[/tex]
A certain car model comes in four different colors (black, white, blue, and silver) and can either have automatic or manual transmission. The company that makes the car took a random sample of 384384384 cars that were sold and checked their color and transmission. Here are the results:
The expected count for the cell corresponding to the white car in the sampling will be 204.
How to calculate the value?From the information given, the certain car model comes in four different colors, and can either have automatic or manual transmission.
The expected count for the cell corresponding to the white car will be:
= 96 × 204/384
= 51
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NEED HELPP! (05.02 MC) Using logarithmic properties, what is the solution to log11(y + 8) + log114 = log1160? Show all necessary steps.
Using logarithmic properties, the solution to the given logarithmic equation is y = 7
Solving Logarithmic equationsFrom the question, we are to determine the solution to the given equation
The given equation is
[tex]log_{11}(y+8) + log_{11}(4) = log_{11}(60)[/tex]
Applying the product law of logarithms, we get
[tex]log_{11}(y+8) \times (4) = log_{11}(60)[/tex]
This gives
[tex]log_{11}(4y+32) = log_{11}(60)[/tex]
Applying the equality law of logarithm, we get
[tex]4y + 32 = 60[/tex]
[tex]4y = 60-32[/tex]
[tex]4y =28[/tex]
∴ y = 28/4
y = 7
Hence, the solution to the given logarithmic equation is y = 7
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what is the slope-intercept form of the equation of the line with the following points? (-3,5), (6,3)
Answer:
Y=-0.22X+6.33
Step-by-step explanation:
Y-yo=m(X-x0)
punto A=(-3,5)
punto B=(6,3)
ecuacion de la recta: Y-yo=m(X-x0)
m=Pendiente=[tex]\frac{5-3}{(-3-6)} =\frac{2}{-9}[/tex]
sea B(6,3) xo=6 y yo=3
reemplazando:
Y-6=[tex]\frac{-2}{9}[/tex](X-3)
Y-6=-0.22X+0.33
Y=-0.22X+6.33
Which graph does not represent a function of x?
Which factor pair of 36 has a sum that is - 20?
The factor pair of 36 whose sum is -20 are -2 and -18.
What are Factors?Factors of a number or an algebraic expression are the numbers or expressions which divides the given number evenly.
For example, 10 = 2 × 5
So we can say that 2 and 5 are factors of 10.
Let x and y be the two factors of the number 36.
Then we have,
x × y = 36
Write the factors of the number 36 as the product.
36 = 1 × 36, sum = 1 + 36 = 37
36 = -1 × -36, sum = -1 - 36 = -37
36 = 2 × 18, sum = 2 + 18 = 20
36 = -2 × -18, sum = -2 - 18 = -20
Hence the factor pair of 36 whose sum is -20 are -2 and -18.
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Which is the correct product of the significant figures 3.278 and 4.23? a. 14 b. 13.9 c. 13.86 d. 13.865 e. 13.86594
The correct answer is option E. which is the product will be 13.86594.
What is the product?Multiplication is the process of determining the product of two or more numbers in mathematics. Given numbers are 3.278 and 4.23.
The product of the two numbers will be calculated as:-
P = 3.278 x 4.23
P = 13.86594.
Therefore the correct answer is option E. which is the product will be 13.86594.
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Answer:b
Step-by-step explanation:
If TU=8 and TV = 13
Answer:
UV = 5
Step-by-step explanation:
Hello there!
Given such a problem, you have to consider where you are beginning, the middle and you end point. Here we have T (starting point), U ( middle- not necessarily center) and V (end point).
From our question, we have;
TV = 13 and TU = 8
To get UV, we subtract TU from TV as shown:
UV = TV - TU
= (13 - 8)
= 5
. ° . UV is 5
I hope this helps.
Have a nice studies.
A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.
What is the probability of randomly selecting a tree or a flower?
Express the Probability as a reduced fraction
Using it's concept, it is found that the probability of randomly selecting a tree or a flower is given by:
[tex]p = \frac{8}{15}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 30 cards, 8 + 8 = 16 are trees or flowers, hence the probability is given by:
[tex]p = \frac{16}{30} = \frac{8}{15}[/tex]
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A pennant in the shape of a right triangle has a base of 48 inches and a height of 14 inches what is the hypotenuse of the pennant?
Answer:
50 inches
Step-by-step explanation:
48^2 + 14^2 = h^2
Answer is 50 inches if you solve...
HELP MEEEEEEEEEEEEEEEE
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
[tex]3x + 18 = 11x - 6 [/tex]
[tex]24 = 8x[/tex]
[tex]x = 3[/tex]
If Cyrus knows that △ABC∼△EDC and AB¯¯¯¯¯¯¯¯∥ED¯¯¯¯¯¯¯¯, how can he prove that line m passing through AB¯¯¯¯¯¯¯¯ has the same slope as line l passing through ED¯¯¯¯¯¯¯¯?
As AB and ED are parallel, they have the same slope. This means that since lines that are colllinear with parallel segments are parallel, lines l and m are parallel.
When Taylor was six years old, she was 1 meter tall. Between the ages of six and eight she grew 0.15 meter. Between the ages of eight and ten she grew 0.19 meter. What was Taylor’s height, in meters, when she was ten years old?
0.44 m.
1.44 m.
0.35 m.
1.34 m.
Answer:
in asurvey of people 80%have crop farming 30%have animal farming and every farmer has at least one farming
As the 1920s progressed, it became for farmers to make a living.
answer: more difitcul
Answer:
While most Americans enjoyed relative prosperity for most of the 1920s, the Great Depression for the American farmer really began after World War I. Much of the Roaring '20s was a continual cycle of debt for the American farmer, stemming from falling farm prices and the need to purchase expensive machinery.<3
Step-by-step explanation:
Answer:
more difficult
Step-by-step explanation:
8
At a party there are 90 people.
48 are women and 42 are men.
Some women leave.
Some men arrive.
The ratio of women to men is now
10:11
Are there now more than 90 people at the party?
Tick one box.
Yes
No
Show working to support your answer.
Cannot tell
[2 marks
Answer:
No, there are less than 90 people at the party.
Step-by-step explanation:
This is because the number of women cannot go above 48 as it says "Some women leave".
-> This means that the ratio 10:11 actually states that there are 40(or less) women and 44(or less) men in the party now which is less
than 90 overall, so the answer is No.
:)
Help me(I will give brainliest if correct)
Anser choices are:
A. -4/3
B. -3/4
C. 10-17
D. 17/10
Answer:
the answer is -3/4 c
Step-by-step explanation:
it's down 3 over 4
Victoria holds a 5 foot long fishing pole. The fishing line extends 3 feet to the water's surface and then another 12.6 feet to a hook. How far is the fish from the hook?
The fish, the fishing pole and the water surface are all in equivalent ratio, and the fish is 21 feet from the hook
How to determine the distance between the fish and the hook?To do this, we make use of the following equivalent ratio
3 : 12.6 = 5 : x
Where x represents the distance between the fish and the hook
Express the ratio as a fraction
12.6/3 = x/5
Multiply both sides by 5
x = 5 * 12.6/3
Evaluate
x = 21
Hence, the fish is 21 feet from the hook
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what parent function is represented by the table?
x|y
-2|4
-1|1
0|0
1|1
2|4
a. f(x)= x^2
b. f(x)= 2^x
c. f(x)= x
d.f(x)= |x|
Answer:
answer is A
Step-by-step explanation:
The answer is A
A helicopter flies 125 miles west and 20 miles north and lands.
The helicopter flies back on a direct course.
What is its bearing?
What is the probability of spinning green and rolling an even number?
The probability of spinning green and rolling an even number will be 0.125.
The missing diagram is given below.
What is probability?The percentage of favorable events to the total number of occurrences.
The probability of spinning green will be
Toial event = 4 {R, G, B, Y}
Favorable event = 1 {G}
P(G) = 1/4
The probability of an even number on dice will be
Toial event = 6 {1, 2, 3, 4, 5, 6}
Favorable event = 3 {2, 4, 6}
P(E) = 3/6
P(E) = 1/2
Then the probability of spinning green and rolling an even number will be
P = P(G) x P(E)
P = 1/4 x 1/2
P = 0.125
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100 POINTS + BRAINLIEST! HELP!!!
A skateboard halfpipe is being designed for a competition. The halfpipe will be in the shape of a parabola and will be positioned above the ground such that its focus is 40 ft above the ground. Using the ground as the x-axis, where should the base of the halfpipe be positioned? Which equation best describes the equation of the halfpipe?
(0, 20); y= one over eighty x squared +20
(0, 10); y= one over one hundred twenty squared +10
(0,20); y= one over eighty x squared -20
(0, 10); y= one over one hundred twenty x squared -10
Answer:
(0, 20); y= one over eighty x squared +20
Step-by-step explanation:
Brad took 5 kicks and made 4 goals: 4/5
Sydney will take 10 shots and she wants to make an equivalent fraction of the goals. How many goals must She make?
4/5 x ?/? = ?/10
Answer: 8/10
Step-by-step explanation: so you have to multiply 5 times x u till you get 10 so you’ll multiply it 2 times and since you multiplied the left 5 times two you have to multiply the 4 by 2 also to keep everything equal so the final answer is 8/10
Just give me answer
By applying the equation of dilation, the coordinates of the vertices of the triangle ABC are A'(x, y) = (-12, 0), B'(x, y) = (0, -9) and C'(x, y) = (-12, -9).
How to find the image of a triangle
A dilation is a type of rigid transformation. Rigid transformations are transformations applied to geometric loci such that Euclidean distances are conserved.
There is a triangle and its image must be a triangle, the new triangle is found by transforming the three vertices of the prior one following this formula:
A'(x, y) = P(x, y) + k · [A(x, y) - P(x, y)] (1)
Where:
P(x, y) - Center of reflection.A(x, y) - Original vertexA'(x, y) - New vertexk - Dilation factorIf we know that P(x, y) = (0, 0), A(x, y) = (-4, 0), B(x, y) = (0, -3) and C(x, y) = (-4, -3), then the new vertices of the triangle are, respectively:
Point A
A'(x, y) = (0, 0) + 3 · [(-4, 0) - (0, 0)]
A'(x, y) = (-12, 0)
Point B
B'(x, y) = (0, 0) + 3 · [(0, -3) - (0, 0)]
B'(x, y) = (0, -9)
Point C
C'(x, y) = (0, 0) + 3 · [(-4, -3) - (0, 0)]
C'(x, y) = (-12, -9)
Lastly, we draw the two triangles, which are presented in the image attached below.
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3. Twelve people work together: four of them are managers and eight of them are office workers. Two people are chosen at random from the twelve members of the group. Calculate the probability that one is a manager and one is an office worker.
Answer:
2/9
Step-by-step explanation:
8/12 you pick an office worker
4/12 chance you pick a manager
8/12 multiplied by 4/12 is 32/144
We can simplify this to 16/72
We can simplify this to 8/36
We can simplify this to 4/18
We can simplify this to 2/9
5x-3x<22-100+200+50x
What is the value of x
Answer:
x > −61/24
Step-by-step explanation:
Identify the degree of the polynomial 6xy2 − xy + 8 + 12y.
Answer: Three
Step-by-step explanation:
I am going to assume the first value is 6xy² and not 6xy2
6xy² − xy + 8 + 12y
The term with the highest degree is 6xy² because it has three x and y variables (x + y + y is three).
The degree of the polynomial is the same as the degree of the highest term, so your answer is:
three
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¿En una bodega hay 5 torres de cajas que contiene cada una 5 filas con 5 frascos de miel ¿Cuantos frascos de miel hay en total?
Considerando la definición de potencia, en total hay 125 frascos.
Definición de potenciaLa potencia es la manera de simplificar la multiplicación de un factor por sí mismo varias veces.
Las potencias están formadas por la base y por el exponente. La base es el número que se está multiplicando varias veces y el exponente es el número de veces que se multiplica la base.
Siendo "b" la base y "n" el exponente, la potencia se representa como [tex]b^{n}[/tex].
Cantidad de frascos de mielEn una bodega hay 5 torres de cajas que contiene cada una 5 filas con 5 frascos de miel. Esto se puede representar mediante la potenciación como: 5³
Resolviendo se obtiene: 5³= 125
Finalmente, en total hay 125 frascos.
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