evaluate 1/3 multiplied by 2/5
Answers
Answer: 2/15
Step-by-step explanation:
1/3 x 2/5 = 2/15
Answer:
1
\( \frac{1}{3 } \times \frac{2}{5} \)
\( \frac{2}{15} \)
Related Questions
a semiconductor manufacturer recently found that 3% of the chips produced at its new plant are defective. assume that the chips are independently defective or non defective. use a normal approximation to determine the probability that a box of 500 chips contains: (a) at least 10 defective chips (b) between 15 and 20 (inclusive) defective chips.
Answers
(a) The probability of having at least 10 defective chips is approximately 0.9131. (b) The probability of having between 15 and 20 defective chips is approximately 0.4135.
First, we need to find the mean (μ) and standard deviation (σ) for the binomial distribution.
μ = np = 500 * 0.03 = 15
σ = sqrt(np(1-p)) = sqrt(15*0.97) ≈ 3.66
(a) To find the probability of at least 10 defective chips, we'll calculate the Z-score and use a Z-table:
Z = (X - μ) / σ = (10 - 15) / 3.66 ≈ -1.36
P(X ≥ 10) = 1 - P(X ≤ 10) = 1 - 0.0869 = 0.9131
So, the probability of having at least 10 defective chips is approximately 0.9131
(b) To find the probability of between 15 and 20 defective chips (inclusive), we'll calculate the Z-scores and use a Z-table:
Z1 = (15 - 15) / 3.66 ≈ 0
Z2 = (20 - 15) / 3.66 ≈ 1.36
P(15 ≤ X ≤ 20) = P(Z1 ≤ Z ≤ Z2) = P(0 ≤ Z ≤ 1.36) = 0.4135
So, the probability of having between 15 and 20 defective chips is approximately 0.4135.
Know more about Probability here :
https://brainly.com/question/24756209
#SPJ11
The entries in the index of the National Codes are listed under one main term. True or False?
Answers
it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.
The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.
In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.
To know more about indexing system visit:
https://brainly.com/question/30967479
#SPJ11
Solve for x
problem shown in photo
x=
A
6
C
3
B
3
E
H
D
Answers
The value of x, considering the similar triangles in this problem, is given as follows:
x = 4.5.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.The similar triangles for this problem are given as follows:
ABC and ADE.
Hence the proportional relationship is given as follows:
x/9 = 3/6.
x/9 = 1/2.
Hence the value of x is obtained applying cross multiplication as follows:
2x = 9
x = 4.5.
More can be learned about similar triangles at brainly.com/question/14285697
#SPJ1
Tara, Inc. is authorized to issue 5,000,000 shares of $20 par common stock. 500,000 shares of stock were originally sold for $50 per share. The stock is currently selling for $40 per share and Tara has decided to repurchase 12,000 shares of stock. When Tara, Inc. repurchases their own stock, how much gain or loss will the company recognize on its income statement?
A. $120,000 gain B. $120,000 loss C. $360,000 gain D. $-0-
Answers
The closest option is D. $-0
To determine the gain or loss on the repurchase of stock, we need to compare the repurchase price with the original sale price.
Original sale price: 500,000 shares * $50 per share = $25,000,000
Repurchase price: 12,000 shares * $40 per share = $480,000
To calculate the gain or loss, we subtract the repurchase price from the original sale price:
Gain or Loss = Original Sale Price - Repurchase Price
= $25,000,000 - $480,000
= $24,520,000
Since the result is a positive value, it represents a gain. Therefore, the company will recognize a gain of $24,520,000 on its income statement.
The given options do not include this exact amount, so the closest option is D. $-0-. However, it is important to note that the gain is not zero but rather $24,520,000.
Read more about gains or losses on:
brainly.com/question/28445484
#SPJ4
Consider the following argument: "If I am hungry, then I eat. I do not eat. Therefore, I am not hungry." (a) Write the argument in symbolic form by assigning propositional variables to the most basic component statements. (b) Identify premises and conclusion. (c) Decide if the argument is valid using a truth table. (d) Decide if the argument is valid using logical equivalences.
Answers
The argument states that if I'm hungry, I eat; since I don't eat, I'm not hungry. Using truth table and logical equivalences, the argument is valid.
(a) Let's assign propositional variables to the component statements as follows:
P: I am hungry.
Q: I eat.
The argument can be written in symbolic form as:
If P, then Q.
Not Q.
Therefore, not P.
(b) Premises:
If P, then Q.
Not Q.
Conclusion:
Therefore, not P.
(c) To determine the validity of the argument using a truth table, we need to consider all possible truth value combinations of P and Q:
P Q If P, then Q Not Q Therefore, not P
T T T F F
T F F T F
F T T F T
F F T T T
Since the argument is valid if the conclusion is true in all rows where the premises are true, we can see that the conclusion "Therefore, not P" is true in all rows where both premises are true. Therefore, the argument is valid.
(d) To determine the validity of the argument using logical equivalences, let's analyze the premises and conclusion:
Premise 1: If P, then Q.
This premise can be represented as ¬P ∨ Q using the implication equivalence.
Premise 2: Not Q.
This premise can be represented as ¬Q directly.
Conclusion: Therefore, not P.
This conclusion can be represented as ¬P directly.
By using logical equivalences, we can rewrite the argument as follows:
(1) ¬P ∨ Q
(2) ¬Q
∴ (3) ¬P
To demonstrate the validity, we can use a proof by contradiction. Assume that the argument is invalid, meaning that the premises are true while the conclusion is false. In this case, both premises (1) and (2) are true, but the conclusion (3) is false.
Assume ¬P is false, which means P is true. Since (1) is true, either ¬P or Q must be true. But ¬P is false (since we assumed ¬P is false), so Q must be true. However, (2) states that ¬Q is true, leading to a contradiction. Therefore, our assumption that the argument is invalid must be false, and the argument is indeed valid.
To learn more about truth tables visit:
https://brainly.com/question/28605215
#SPJ11
read the picture plsssssssssssss
Answers
If the expression be 23 x² + 3x + 8 then the constant exists 8.
What is meant by expression?The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.
A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.
A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.
During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.
Let the expression be 23 x² + 3x + 8
then the constant exists 8.
Therefore, the correct answer is option C. 8.
To learn more about expression refer to:
https://brainly.com/question/723406
#SPJ1
Rewrite the expression in the form y^n
Answers
Step-by-step explanation:
y^3/4×y^1/3y(3/4+1/3)y^2/3stay safe healthy and happy.Answer:
y^13/12 or y^1 1/12
Step-by-step explanation:
Convert the fractions to compatible bases. In this case, you can multiply the 3/4 by 3 making it 9/12, and multiply the 1/3 by 4 making it 4/12. If you add these now compatible fractions, you get 13/12. The base remains the same, I hope this helps!
Round 5.456 to the nearest tenth.
Answers
Answer:
5.5
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation:
We use the hundredths place, so 5.
5 gets rounded up, so we have 5.5
if y = ½x + 1, explain why the graph will cross the y-axis at y=1
Answers
Answer:
In y = mx + b, b is the y-intercept. The y-intercept is equal to 1.
Step-by-step explanation:
The y-intercept is where a function crosses the y-axis, in a graph. This linear function is written in slope intercept form, y = mx + b, where b is the y-intercept, and m is the slope. Therefore, the y-intercept is 1. If you graphed this, it would start at y = 1, and go up 1 y-value and 2 x-values.
What is meant by non-Euclidean geometry?
Answers
Any system of geometry that is not based on the principles of Euclidean geometry is known as non-Euclidean geometry.
Many geometrical systems that are not based on the parallel postulate or other Euclidean axioms are referred to as non-Euclidean geometry.
The parallel postulate asserts that given a line and a point off the line, there is only one line that can be drawn through the point parallel to the provided line.
Attempts to establish or refute this postulate gave rise to non-Euclidean geometries. Contrarily, non-Euclidean geometries are founded on diverse axioms that allow for various kinds of parallel lines, including multiple parallel lines in hyperbolic geometry and no parallel lines in elliptic geometry.
Non-Euclidean geometry is important to many fields of mathematics and science, including relativity theory and cosmology.
Learn more about non-Euclidean geometry.
https://brainly.com/question/30471282
#SPJ4
De cuántas formas se puede vestir una mujer teniendo 3 blusas (blanca, azul, rosada), dos pantalones (negro y café) y tres pares de zapatos (negros, azules, grises) (tomado de precalculo James Stewar)
Answers
Answer:
Step-by-step explanation:
¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día!
a 10-unit vector at 60° from the vertical has a vertical component with a magnitude
Answers
Answer:
i hop this halp
Step-by-step explanation:
less than 10 units.
The functions f(x) and g(x) are represented by the following table and graph. Compare the functions, and then answer the question.
(graph and table and options are attached below)
Which statements about the functions are true?
There is more than one correct answer. Select all correct answers
Responses
1. g(x)
goes to positive infinity as x
approaches negative infinity, so there is no maximum value.
g of x goes to positive infinity as x approaches negative infinity, so there is no maximum value.
2. f(x)
is a line that approaches positive infinity as x
approaches positive infinity, so there is no maximum value.
f of x is a line that approaches positive infinity as x approaches positive infinity, so there is no maximum value.
3. g(x)
goes to negative infinity as x
approaches negative infinity, so there is no minimum value.
g of x goes to negative infinity as x approaches negative infinity, so there is no minimum value.
4. f(x)
is a line that approaches positive infinity as x
approaches negative infinity, so there is no maximum value.
f of x is a line that approaches positive infinity as x approaches negative infinity, so there is no maximum value.
5. f(x)
is a line that approaches negative infinity as x
approaches negative infinity, so there is no minimum value.
f of x is a line that approaches negative infinity as x approaches negative infinity, so there is no minimum value.
6. g(x)
has a horizontal asymptote at y=0,
so the minimum is almost at 0
for any interval that includes x
values greater than zero but doesn't go to positive infinity.
g of x has a horizontal asymptote at y is equal to 0 textsf comma so the minimum is almost at 0 for any interval that includes x values greater than zero but doesn't go to positive infinity.
7. f(x)
is a line that approaches negative infinity as x
approaches positive infinity, so there is no minimum value.
f of x is a line that approaches negative infinity as x approaches positive infinity, so there is no minimum value.
8. g(x)
has a horizontal asymptote at y=1,
so the minimum is almost at 1
for any interval that includes x
values greater than zero but doesn't go to positive infinity.
Answers
The graph of the functions f(x) and g(x) shows that f(x) is a straight line that increases as x increases, while g(x) is a parabola that increases as x increases. Therefore, all of the statements given are true.
What is asymptote?An asymptote is a straight line or curve that approaches a given curve arbitrarily closely but never meets or crosses it.
The correct answers are 1, 2, 3, 4, 5, 6, 7 and 8.
The graph of the functions f(x) and g(x) shows that f(x) is a straight line that increases as x increases, while g(x) is a parabola that increases as x increases.
From the table and graph, it is clear that both functions go to positive and negative infinity as x approaches positive and negative infinity, respectively, so there is no maximum or minimum value for either function.
Additionally, both functions have a horizontal asymptote at y=0 and y=1 for x values greater than zero but not going to positive infinity.
This means that the minimum for g(x) is almost at 0 and the minimum for f(x) is almost at 1. Therefore, all of the statements given are true.
For more questions related to asymptote
https://brainly.com/question/30197395
#SPJ1
If the subspace of all solutions of Ax 0 has a basis consisting of vectors and if A is a matrix, what is the rank of A
Answers
Question: If the subspace of all solutions of
Ax = 0
has a basis consisting of vectors and if A is a matrix, what is the rank of A.
Note: The rank of A can only be determined if the dimension of the matrix A is given, and the number of vectors is known. Here in this question, neither the dimension, nor the number of vectors is given.
Assume: The number of vectors is 3, and the dimension is 5 × 8.
Answer:
The rank of the matrix A is 5.
Step-by-step explanation:
In the standard basis of the linear transformation:
f : R^8 → R^5, x↦Ax
the matrix A is a representation.
and the dimension of kernel of A, written as dim(kerA) is 3.
By the rank-nullity theorem, rank of matrix A is equal to the subtraction of the dimension of the kernel of A from the dimension of R^8.
That is:
rank(A) = dim(R^8) - dim(kerA)
= 8 - 3
= 5
Use the graph to solve the simultaneous equation y=7 - x and y=x - 1
Answers
Answer: \(x=4, y=3\)
Step-by-step explanation:
\(\left \{ {y=7 - x} \atop {y=x - 1}} \right.\),
\(7 - x=x - 1\)
\(2x=8,\)
\(x=4, y=3\)
According to the American Academy of Cosmetic Dentistry, 50% of adults believe that an unattractive smile hurts career success. Suppose that 100 adults are randomly selected. What is the probability that 60 or more of them would agree with the claim?
Answers
The probability that 60 or more adults would agree with the claim that an unattractive smile hurts career success if 100 adults are randomly selected can be calculated using the binomial probability distribution function.
Given that the probability of adults agreeing with the claim is 0.5, then:p = 0.5n = 100The probability can be calculated as follows:P(X ≥ 60) = 1 - P(X < 60)Where X ~ B(100, 0.5) and P(X < 60) = P(X ≤ 59)Therefore,P(X ≥ 60) = 1 - P(X ≤ 59)Using the binomial probability distribution function, we get:P(X ≤ 59) = ∑P(X = r)From r = 0 to 59Thus,P(X ≤ 59) = ∑(100C r ) (0.5)^(100-r) (0.5)^rFrom r = 0 to 59P(X ≤ 59) = 0.9999202055Therefore,P(X ≥ 60) = 1 - P(X ≤ 59)= 1 - 0.9999202055= 0.00007979445≈ 0.00008Therefore, the probability that 60 or more of 100 adults would agree with the claim that an unattractive smile hurts career success is approximately 0.00008 or 0.008%.
Learn more on probability here:
brainly.in/question/34187875
#SPJ11
Alexis, John and Chris went trick or treating on Halloween. Altogether, the three of them collected 95 pieces of candy. John collected 8 more pieces than three times the number of pieces of candy collected by Alexis. Chris collected thirteen less than the number of pieces of candy collected by Alexis. How much candy did each person collect?
Answers
Answer:
95 / 8=
Step-by-step explanation:
11.875
What is the area for a 3/4 circle with a radius of 4
Answers
Answer:
A≈50.27
Step-by-step explanation:
:P
What is the slope of the line that passes through (1,3) (5,15)
Answers
Answer:
3
Step-by-step explanation:
Slope:
15 - 3 / 5 - 1 = 12 / 4 = 3
Josh sells t-shirts at an amusement park. When selling t-shirts, he often tells people that the shirts are the softest shirts ever created. If he did not truly believe that and it was a lie, would this be an example of misrepresentation?.
Answers
Misrepresentation means that one party (in this case Joe) is knowing selling or marketing things as something they are not. Yes this would be misrepresentation, because if Joe knows this is a lie, he is spreading false information KNOWINGLY
There are 44,000 adults living in Oak city in examining attitudes according to the news of research group as random sample of Oak city adults what is your main source of news the results are shown below based on the sample predict the number of adults in Oak city whose main source of the news is television on your answer to the nearest whole number do not run by any intermittent calculations
Answers
The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85
To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".
According to the sample data
Number of adults who answered "Newspapers": 64
Number of adults who answered "Radio": 21
Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition
64 + 21 = 85
Rounding this answer to the nearest whole number, we get
85 ≈ 85
Learn more about addition here
brainly.com/question/29791798
#SPJ4
The given question is incomplete, the complete question is:
There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction
How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3?
No triangles can be formed.
One triangle can be formed where angle B is about 15°.
One triangle can be formed where angle B is about 40°.
Two triangles can be formed where angle B is 40° or 140°.
Answers
Answer:
D) Two triangles can be formed where angle B is 40° or 140°.
Step-by-step explanation:
The Ambiguous Case for the Law of Sines occurs when one uses it to determine missing measures of a triangle when given two sides and an angle opposite one of those angles (SSA). There are 6 cases:
Case 1: If ∠A is acute, and a < h, no such triangle exists
Case 2: If ∠A is acute, and a = h, one possible triangle exists
Case 3: If ∠A is acute, and a > b, one possible triangle exists.
Case 4: If ∠A is acute, and h < a < b, two possible triangles exist.
Case 5: If ∠A is obtuse, and a < b or a = b, no such triangle exists.
Case 6: If ∠A is obtuse, and a > b, one such triangle exists.
Here, we can see that ∠A is acute since 75°<90°
Also, we know that a < b since 2 < 3.
Thus, Case 4 applies here, which states "If ∠A is acute, and h < a < b, two possible triangles exist."
Thus, the last option is correct.
Read more:
http://jwilson.coe.uga.edu/EMT668/EMAT6680.2001/Mealor/EMAT%206700/law%20of%20sines/Law%20of%20Sines%20ambiguous%20case/lawofsinesambiguouscase.html
Answer:
It's D
Two triangles can be formed where angle B is 40° or 140°
Step-by-step explanation:
Edge 2022
what proportion of tickets sold are adult tickets? (image)
Answers
100-40=60
60/100=0.6
Help will mark brainliest show steps pls
Answers
Answer:
at first , you need the sum of both equations . It will be like :
2y= 0 + 2
Y=1
_____
now that you know the value of Y , place it in the one of the equation that you like , forexample i place it in the second equation and find out that the value of x is ( -3/2)
1= 2X+5
-4=2X
X= -2
Hope it helps , good luck ^.^
Y = -2 + 5
-2x - 3 = 2x + 5
x= -2
y= -2 x (-2) -3
y= 1
( x, y) = (-2, 1)
The answer is (-2, 1)
Each marble bag sold by Deon's Marble Company contains 7 green marbles for every 5 yellow marbles. If a bag has 40 yellow marbles, how many green marbles does it contain?
Answers
Answer:
if a bag has 40 yellow marbles there will be 56 green marbles.
this may help you
Given the following proposition:
[(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)]
Given that A and B are true and X and Y are false, determine the truth value of Proposition 2A.
a.
True.
b.
False.
Answers
Therefore, the truth value of Proposition 2A is False.
To determine the truth value of Proposition 2A, let's substitute the given truth values for the variables:
A = True
B = True
X = False
Y = False
Now let's evaluate the truth value of each component of the proposition:
(X ⊃ A) • (B ⊃ ∼ Y):
(False ⊃ True) • (True ⊃ ∼ False)
(True ⊃ True) • (True ⊃ True)
True • True
True
(B ∨ Y) • (A ⊃ X):
(True ∨ False) • (True ⊃ False)
True • False
False
[(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)]:
True ⊃ False
False
To know more about Proposition,
https://brainly.com/question/31979370
#SPJ11
What’s the unit rate of the ratio 64:16
Answers
Answer:4
Step-by-step explanation:
This is a fraction equal to
64 miles ÷ 16 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 16
64 : 16 = 4 : 1
Answer is: 4!
Select the correct answerWhat is the inverse of function f?
Answers
D
1) Considering that function, we can proceed to find its inverse
\(f(x)=\sqrt[]{x}+7\)2) Swap the variables:
\(\begin{gathered} y=\sqrt[]{x}+7 \\ x=\sqrt[]{y}+7 \end{gathered}\)3) Let's place the y term on the left and isolate it:
\(\begin{gathered} x=\sqrt[]{y}+7 \\ x-7=\sqrt[]{y}+7-7 \\ x-7=\sqrt[]{y} \\ (x-7)^2=(\sqrt[]{y})^2 \\ y=(x-7)^2 \\ f^{-1}(x)=(x-7)^2 \end{gathered}\)Note that x has to be greater or equal to 7
4) Hence, the answer is D
what is the eccentricity of an infinitely long ellipse?
Answers
Less than 1 is the eccentricity of an infinitely long ellipse.
The ratio of the focus's distance from the ellipse's centre and the ellipse's distance from one of its ends is called the eccentricity of an ellipse.
It is easy to understand how circular an ellipse is in relation to a circle when we assume its eccentricity. It also estimates the ovalness of the ellipse, and eccentricity close to 1 directs to the high degree of ovalness.
The eccentricity of an ellipse is always < 1, i.e. e < 1. The formula of the eccentricity of an ellipse is as follows:
Eccentricity = Distance from Focus/Distance from Directrix
Which can be written as
=> e = c/a.
Where
e = Eccentricity of the ellipse
c = Distance of the focus from the centre of the ellipse
a = Distance of the endpoint of an ellipse from its centre
As we know, the eccentricity of an ellipse is always less than 1, So we can conclude that the eccentricity of an infinitely long ellipse is less than 1.
Therefore, less than 1 is the eccentricity of an infinitely long ellipse.
To know more about eccentricity, here
https://brainly.com/question/22105866
#SPJ4
Plzzzzzz help, tysm if you do
Answers
Answer:
I think it C
Step-by-step explanation:
Let's solve your equation step-by-step.
(k−4)2=9
Step 1: Simplify both sides of the equation.
k2−8k+16=9
Step 2: Subtract 9 from both sides.
k2−8k+16−9=9−9
k2−8k+7=0
Step 3: Factor left side of equation.
(k−1)(k−7)=0
Step 4: Set factors equal to 0.
k−1=0 or k−7=0
k=1 or k=7
Answer:
k=1 or k=7
Hope this helps! :)
Square both sides:
K -4 = sqrt(9)
With the answer being a square root rewrite with a postive and negative value:
K-4 = sqrt(9)
And
K-4 = -sqrt(9)
Simplify each:
K-4 = 3
And
K-4 = -3
Solving for k in each one you get answer
C. {1,7}