The probability that none of the prizes is a $10 gift certificate is; 7/99
The expected number of $20 gift certificates drawn is 2.083
How to find the Probability?This is a question of picking objects from a mixture without replacement. The modelling distribution is the hypergeometric distribution, given by the formula:
P(a) = C(A,a) * C(B,b)/C(A+B,a+b)
Where;
a = number of good objects picked
b = number of bad objects picked.
A = number of good objects in the given batch.
B = number of bad objects in the given batch.
a + b = total number of objects picked without replacement.
A + B = total number of objects in the batch.
A) In this question;
A = 4 ($10, good)
B = 3 + 5 = 8 ($20, $50, "bad")
a = 0, b = 5
a + b = 5
Thus;
P(a = 0) = C(4, 0) × C(8, 5)/C(12, 5)
P(a = 0) = 1 × 56/792
P(a = 0) = 7/99
B) $20 is the "good" prize.
Thus;
A = 5
B = 3 + 4 = 7
a + b = 5 (total number of prizes drawn)
Thus;
E[$20] = (5/(5 + 3 + 4)*5)
E[$20] = (5/12)*5
E[$20] = 25/12
E[$20] = 2.083
Complete Question is;
The door prizes at a dance are four $10 gift certificates, five $20 gift certificates, and three $50 gift certificates. The prize envelopes are mixed together in a bag, and five prizes are drawn at random.
What is the probability that none of the prizes is a $10 gift certificate?
What is the expected number of $20 gift certificates drawn?
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I NEED A.S.A.P PLEASE I WILL GIVE BRAINLIEST
Simplify: 5.9 (9 - 5) + 4^3 + 3.86 A. 63.06 B. 72.83 C. 91.46 D. 98.32
Answer:
C. 91.46
Step-by-step explanation:
Use BODMAS!
Answer:
C. 91.46
Step-by-step explanation:
Using Pemdas to solve:
5.9 (9 - 5) + 4^3 + 3.86
First you have to solve in the parenthesis
5.9 (9 - 5) + 4^3 + 3.86
= 4
New equation:
5.9 x 4 + 4^3 + 3.86
Now solve the exponent:
5.9 x 4 + 4^3 + 3.86
= 64
New equation:
5.9 x 4 + 64 + 3.86
Now we have to do multiplication:
5.9 x 4 + 64 + 3.86
= 23.6
New equation:
23.6 + 64 + 3.86
Now all you have to do is add all that together and you have your answer:
23.6 + 64 + 3.86
= 91.46
Hope this helps.
1. The area of a rectangular carpet is X² + X - 2. HINT: Area = length X breadth
a). if X is a whole number, use factorization to find the length and the breadth of the carpet in terms of X.
b). if X = 2 m, find the actual dimensions of the carpet.
c). it costs R50 per square metre to make such this carpet. how much will it cost to manufacture 5 carpets?
Triangle ABC is a right triangle. The length of one of the legs is 12 centimeters, and the length of the hypotenuse is 20 centimeters. What is the length of the other leg?
Answer: 16 centimeters
Step-by-step explanation:
We will use the Pythagorean theorem to solve. The c variable is the hypotenuse, the a and b variables are the legs.
a² + b² = c²
12² + b² = 20²
144 + b² = 400
b² = 256
b = [tex]\sqrt{256}[/tex]
b = 16
The length of the other leg is 16 centimeters.
Answer:
The other leg is 16 cm long.
Explanation:
Use the Pythagorean theorem:
[tex]c^2=a^2+b^2[/tex],
where:
[tex]c[/tex] is the hypotenuse, and [tex]a[/tex] and [tex]b[/tex] are the other two sides (legs).
Let [tex]a=12[/tex] [tex]cm[/tex]
Rearrange the equation to isolate [tex]b^2[/tex]. Plug in the values for [tex]a[/tex] and [tex]c[/tex], and solve.
[tex]b^2=c^2-a^2[/tex]
[tex]b2=(20 cm)^2-(12 cm)^2[/tex]
Simplify.
[tex]b^2=400 cm^2-144cm^2[/tex]
[tex]b^2=256 cm^2[/tex]
Take the square root of both sides.
[tex]b=\sqrt{256cm^2}[/tex]
Simplify.
[tex]b=16[/tex] [tex]cm[/tex]
An unusual number cube (with 6 sides) has the numbers 2, 2, 4, 4, 6, and 6 on its faces.
It is rolled once.
Match the outcome to its probability.
Answer:
1. P(2 or 4) - 2/3
2. P(multiple of 2) - 1
3. P(multiple of 3) - 1/3
4. P(odd prime numbers) - 0
Step-by-step explanation:
Good luck lol
P(2 or 4) = 2/3
P( multiple of 2) = 1
P( multiple of 3) = 1/3
P(odd prime numbers) = 0
What is probability?
Probability is the likelihood of an event happening or not.
Analysis:
possible outcome = (2,2,4,4,6,6) = 6
P(2 or 4)
n( 2) = required outcome = (2,2) = 2
P(2) = 2/6 = 1/3
n(4) = (4,4) = 2
P(4) = 2/6 = 1/3
P(2 or 4) = 1/3 + 1/3 = 2/3
n( multiple of 2) = (2,2,4,4,6,6) = 6
P( multiple of 2) = 6/6 = 1
n(multiple of 3) = (6,6) = 2
P(multiple of 3) = 2/6 = 1/3
P(odd prime numbers) = 0
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Graph the System of Inequalities:
y> 4x-3
y≤-½x + 5
Answer: I attached the graph.
Step-by-step explanation:
If ∠PLA and ∠ELA are complementary, ∠PLA = 5x – 2, and ∠ELA = x + 8, what is the measure of ∠PLE?
Answer:
ELA
Step-by-step explanation:
you add ela to a bonus points
Answer:
PLA + ELA = 90
Step-by-step explanation:
lol
Find the value of z if the volume of the cylinder is 1696.5m^3 use 3.14 for pi and round your answer to the nearest whole number.
Answer:
6 m
Step-by-step explanation:
The missing dimension can be found using the volume formula with the known values filled in. This gives an equation that can be solved for z.
The volume of a cylinder is given by the formula ...
V = πr²h
__
Using the given values, we have ...
1696.5 m³ = 3.14(z²)(15 m)
z² = (1696.5 m³)/(47.1 m) ≈ 36.0191 m² . . . . divide by 47.1 m
Taking the square root, we find z to be ...
z ≈ √(36.0191 m²) ≈ 6.00 m
The value of z is about 6 m.
Find the value of 6a+5b when a = 4.2 and b = -1.9
Answer:
the answer is -5.3 hopes this helps
Step-by-step explanation:
6a+5b=?
6(4.2)+5(-1.9)=?
6(4.2)= 25.2
5(-1.9)= -9.5
4.2 - 9.5= -5.3
The value of the expression (6a + 5b) when a = 4.2 and b = -1.9 will be 15.7.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given as,
⇒ 6a + 5b
The value of the expression at a= 4.2 and b = - 1.9 is calculated as,
⇒ 6 x 4.2 + 5 x (-1.9)
⇒ 15.7
The value of the expression (6a + 5b) when a = 4.2 and b = -1.9 will be 15.7.
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When graphing a sine curve model using the equation y = sine b x, the period (or wavelength) will be represented by startfraction 2 pi over b endfraction, so b = startfraction 2 pi over period endfraction. determine the equation for the sine curve that models the g
The equation of the sine curve is y = sin(7.59x)
How to determine the sine function?The complete question is added as an attachment.
The sine function is given as:
y = sin(bx)
And the value of b is given as:
b = 2π/T
Where T = 0.828
Substitute T = 0.828 in b = 2π/T
b = 2π/0.828
Evaluate
b = 7.59
Substitute b = 7.59 in y = sin(bx)
y = sin(7.59x)
Hence, the equation of the sine curve is y = sin(7.59x)
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Sarah is attempting to find the height of a tree by using a mirror. By the laws of physics she knows that the angle of incidence is congruent to the angle of reflection (these are marked in red on the diagram). Explain why the two triangles are similar and if she knows her height and the distance from the mirror to her feet and also the distance from the mirror to the tree how could she calculate the height of the tree?
The two triangles are similar as the angle of incidence is equal to the angle of reflection because the light ray selects the shortest path to reach the destination.
What s an angle of reflection?The angle of reflection is the angle between a reflected ray and the normal drawn at the point of incidence to a reflecting surface.
When light is reflected from a surface, then the angle of incidence is always equal to the angle of reflection, where the angles are measured from the path of the light to the normal to the surface at the point at which light strikes the surface. Therefore, the angle of incidence is congruent to the angle of reflection.
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5. in a maths test , Archie got1/5 of the questions wrong.
a What was Archie's percentage score?
b. Explain why it is not possible to work out his actual score.
Answer:
Step-by-step explanation:
a) Out of 5, 1 only one is wrong. So number of questions answered correctly is (4/5)
To find the percentage, multiply (4/5) by 100
[tex]\sf \dfrac{4}{5}*100 = 4* 20 = 80 \%[/tex]
b) It is not possible to find the actual score because we don't know how many questions were there actually and the score for each question.
Answer:
jajajjajaja
Step-by-step explanation:
sdfgsdfgsdfg
What is the volume of the figure?
A. 188.5 units cubed
B. 196.9 units cubed
C. 205.3 units cubed
D. 213.6 units cubed
The diagonals of kite KITE intersect at point P. Which statement is true?
A. < KIE =
B.
C.
D.
Based on the properties of a kite, the statement that is true is: D. KPE = TPE.
What is a Kite?A kite is a quadrilateral in which its diagonals intersect at right angles.
Also, the non-vertex angles of a kite are congruent, that is they have equal measure.
Angle KPE and angle TPE in the given kite are right angles formed at the point of intersection of the two diagonals of the kite. They both equal 90 degrees.
Therefore, the true statement is:
D. KPE = TPE
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Find The volume of the triangular prism is
Answer:, Volume of triangular prism = (1/2) bh × L.
hich are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
37-(y-19)=2y this is a problom from rsm
Answer:
y = 56/3
Step-by-step explanation:
Distribute:
37 - (y - 19) = 2y
37 - y + 19 = 2y
Add the numbers:
37 - y + 19 = 2y
56 - y = 2y
Rearrange the terms:
56 - y = 2y
-y + 56 = 2y
Solution:
y = 56/3
What is ((x^(2 )y^(3))^((1)/(3)))/(\root(3)(x^(2)y)) in exponential form?
The exponential form when [x²y³)^(¹/₃)]/[∛x²y] is simplified gives us; [x^(²/₃) * y]/[x^(²/₃) * y^(¹/₃)]
How to simplify exponents?The power of a digit defines a base number raised to the exponent, where base number is the factor which is multiplied by itself while exponent denotes the number of times the same base number is multiplied.
We want to simplify the exponents; [x²y³)^(¹/₃)]/[∛x²y]
Using rule of exponents, we have;
[x^(²/₃) * y]/[x^(²/₃) * y^(¹/₃)]
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Priya is comparing two functions: (x) = 10 . y? and g(x) = 3 - 2* to find out which
one has greater output values as x gets very large.
She notices that f(1) = 10 and f(2) = 40. However, g(1) = 6 and g(2) = 12. She
concludes that as x continues to grow, the values of f will be greater than the values
of g.
Explain why priyas conclusion is incorrect
Answer:
help me to find Xian pleaseee:( i miss him so much:(
sorry for answering Non sense po i hope u understand me ty po!
Identify the clusters in the data.
The clusters in the data is the cluster with the most circles together in the middle and this can be found at two point which are red dot (clusters) between 3.5-5 and 10 - 11.5 in the y axis.
What are clusters in a data set?A data cluster is known to be a kind of subpopulation of a bigger dataset where each data point are known to very close to the cluster center than to other cluster centers as seen in a the dataset.
Therefore, one can say that The clusters in the data is the cluster with the most circles together in the middle and this can be found at two point which are red dot (clusters) between 3.5-5 and 10 - 11.5 in the y axis.
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Select the correct answer.
The graph of the equation y= 3x + 1 is shown below.
y
+x
-8
to
7
-2
8
6
+2+
+
-6-
-8-
2
6
Co
The graph is reflected across the y-axis, then the equation of the new graph will be y = 3⁻ˣ + 1.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The graph of the equation y = 3ˣ + 1 is shown below.
If the graph is reflected across the y-axis, then the equation of the new graph will be
y = 3⁻ˣ + 1
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Which of the following best describes the graph shown below?
Using function concepts, it is found that the statement that correctly describes the function is:
C. This is the graph of a one-to-one function.
When does a graph represents a function?A graph represents a function if it is one-to-one, that is, each value of x is mapped to one value of y.
In this problem, this happens, each value of x is mapped to one value of y, in a non-linear format, hence option C is correct.
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The volume of this triangular prism is 95,030 cubic inches. What is the value of m?
85 in
86 in
m =
Answer:
About 28 inches
Step-by-step explanation:
See attached image. Remember that Volume of a prism can be found by multiplying the area of the side face, by the depth.
Our side face is the shape of a triangle, and the depth is the unknown, m.
Solve the area of the triangle
Divide the volume by the area of the triangle to find our depth
4/9 of students at a school are boys. If there are 2322 students at the school, how many are girls?
What is the length of HI? (Giving 40 points please hurry!)
Answer: Hope this helps you!
3
Step-by-step explanation:
9 (total amount) - 6 (1 part of it) = 3 (the other part of it)
Brainliest?
this is literally the easiest question, but for some reason I keep getting it wrong...
Answer:
Hi the correct answer will be C, E, and F.
Step-by-step explanation:
Why C? 23 is greater than 16
Why E? 23 is greater than or equal to 16. Remember here says "or"
Why F? 23 is not equal to 16.
A rectangular shop in the mall is 10 meters long and 6 meters wide. what is its area?
Step-by-step explanation:
the area of a rectangle is
length × width
I am sure you discussed and learned this in class, otherwise you would not get such a problem to solve.
it is a really simple thing : just multiply the 2 numbers.
the area of the shop is
10 × 6 = 60 m²
the really important thing is not to forget that the result is not measured in meters, as this is no longer just a 1- dimensional length. since we multiplied two meter lengths, it is measured in square meters, which are squares of 1 meter side length, and we say how many such squares fit into the area.
If x is a positive integer, then x is _____ negative.
a. never
b. sometimes
c. always
Find the third, fourth, and tenth terms of the sequence describe by the rule below
A(n)=3+(n-1)(-2)
Please help ASAP, I need to get this done by midnight...
The third term, fourth term and tenth term are -1, -3, -15 respectively.
What is a sequence?A sequence is a pattern of numbers in which successive terms differ by an constant term called the common difference or ratio.
Analysis:
For a sequence defined by the rule A(n) = 3 + (n-1)(-2)
Third term, n = 3
A(3) = 3 + (3-1)(-2) = -1
Fourth term, n = 4
A(4) = 3 + (4-1)(-2) = -3
Tenth term, n = 10
A(10) = 3 + (10-1)(-2) = -15
In conclusion, the third, fourth, tenth terms are -1, -3 and -15 respectively.
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What is the value of x in the equation?
Answer:
What is the value of x in the equation?
Step-by-step explanation:
Will be marked barinliest if correct
Answer:
12
Step-by-step explanation:
Using the very helpful diagram, you can simply count the number of items on the far right. So 6 combinations with cola and 6 combinations with juice together equal 12 total combinations.
Answer:
How to answer this?
Step-by-step explanation: