Question 11 of 23
Question 11
A number cube with sides labeled 1 through 6 is rolled 25 times. An odd number is rolled 15 times. Complete each step to find the relative frequency of rolling an
odd number.
An odd number was rolled Select Choice times.
The total number of rolls was Select Choice
The relative frequency of rolling an odd number is Select Choice
The requried relative frequency of rolling an odd number is 3/5.
An odd number was rolled 15 times.
The total number of rolls was 25.
The relative frequency of rolling an odd number is found by dividing the number of times an odd number was rolled by the total number of rolls:
Relative frequency = number of odd rolls / total number of rolls
Substituting the values, we get:
Relative frequency = 15/25
Relative frequency = 3/5
Therefore, the relative frequency of rolling an odd number is 3/5.
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amazon is selling 24 pack of 3x3 sticky notes for 28.99 Each pack has 100 sticky notes. What is the price for each pack? How much is each single sticky note?
Given data:
Total packs 3x3 sticky notes: 24 packs
Cost of 24 packs: 28.99
Number of sticky notes in a pack: 100
With the information above, we can proceed to find the answers to the questions
Part A: What is the price for each pack?
Since 24 packs cost 28.99
Then 1 pack will cost =
\(\begin{gathered} \frac{28.99}{24}=1.208 \\ \text{which is appro}\xi mately\text{ 1.21} \end{gathered}\)Hence, a pack will cost $1.21
Part B: How much is every single sticky note?
Since each pack cost 1.21, and each pack has 100 sticky notes, then
each sticky note will cost
\(\frac{1.21}{100}=0.0121\)=> every single sticky note will cost $0.012
The random variable w has a geometric distribution with p=0.25. approximately how far do the values of w typically vary, on average, from the mean of the distribution?
The values of w typically vary, on average, from the mean of the distribution about 3.46.
How to illustrate the deviation?The degree of data dispersion from the mean is indicated by the standard deviation. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.
For a geometric(p = 0.25) distribution, the variance is computed here as:
Var(X) = (1 - p)/ p2 = (1 - 0.25) / 0.252 = 12
Therefore, the standard deviation is computed as:
= ✓(12) = 3.46 observations.
This is the standard deviation of the given distribution here.
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FAST ANSWERS ONLY 59. A triangle has sides of lengths 21, 47, and 52. Is it a right triangle? Explain.A. yes; 212 + 472 € 522C. yes; 212 + 472 522B.no; 212 + 472522D. no; 212 + 472 522
The largest side of the triangle is 52.
Checking pythagoraus theorem,
\(\begin{gathered} 52^2=2704 \\ 21^2+47^2=441+2209 \\ =2650 \\ \text{Thus,} \\ 21^2+47^2\ne52^2 \end{gathered}\)Thus, it is not a right angle triangle.
Thus, option (D) is correct.
Ali's latest photo got 42 likes. this is 3 times as many likes as kate's latest photo. how many likes did kate's photo get ?
Answer:
14
Step-by-step explanation:
14 becuase if it was 3 times as many as Kate got then you would have to do the opposite than what it is asking so you would have to divide and you would get 14
Ali do be famous doe lol
Answer:
Kate's photo got 14 likes
Step-by-step explanation:
42 divided 3 is 14
in the figure below, a $3$-inch by $3$-inch square adjoins a $10$-inch by $10$-inch square. what is the area of the shaded region? express your answer in square inches as a common fraction.
When a 3-by-3-inch square is placed next to a 10-by-10-inch square, the resulting region will have a surface area of 109 inches².
What is area?The measurement that indicates the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.
Here,
length of side=3 inch
length of side=10 inch
Total area= area of square 1 + area of square 2
=(3*3)+(10*10)
=9+100
=109 inch²
The area of resulted region will be 109 inch² when 3 inch by 3 inch square adjoins a 10-inch by 10-inch square.
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The Bandwagon fallacy occurs when someone attacks an idea by using irrelevant information.
true or False?
False. The bandwagon fallacy is when someone believes that an argument is valid because most people believe it to be true.
The idea is that since everyone believes it, then it must be true. It is also called an argument from popularity, argumentum ad populum, appeal to the masses, appeal to belief, and consensus fallacy.The fallacy occurs when one claims that an idea is true or false because many other people believe it to be so.
The fallacy works because humans are social animals and they tend to believe things that others believe. Therefore, when people see that many others believe in an idea, they are more likely to accept it as true without giving much thought to whether it is actually true or not. The bandwagon fallacy is a logical error because the truth of an idea does not depend on how many people believe it.
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Which expression is equivalent to 0 . 7 × 0 . 23 ?
Answer:
0.161
Step-by-step explanation:
0 . 7 × 0 . 23
= 0.161
Question 7 (4 points) If <PQR= 26, find <PQS
Given that <PQR = 26, we can use the fact that opposite angles are equal in a parallelogram to find <PQS.
Since PQRS is a parallelogram, we have:
<PQS = <QRS
Also, we know that the sum of angles in a triangle is 180 degrees. Therefore, we can find <QRS by subtracting <PQR from 180 degrees and dividing the result by 2.
<QRS = (180 - <PQR)/2
Substituting <PQR = 26, we get:
<QRS = (180 - 26)/2 = 77
Therefore, <PQS = <QRS = 77 degrees.
1a. Write a polynomial that represents the length of the north side of the house
1b. Simplify the expression. Show all work.
2- 32. 2. Your cousin said the length of the north side of the house is 9y+2y"
a. Is he correct?
b. Explain in detail how you know if your cousin is correct or not correct?
Answer:
1a. Let’s assume that the length of the north side of the house is represented by ‘x’. Then the polynomial that represents the length of the north side of the house is x.
1b. There is no expression to simplify.
2a. Your cousin is not correct.
2b. The length of the north side of the house is represented by ‘x’ and not by ‘9y+2y’. Therefore, your cousin is not correct.
The polynomial stated by the cousin as the length of the north side of the house, 9y + 2y, simplifies to 11y. Thus, the cousin is not correct. Polynomials and simplifying expressions are part of basic algebra skills.
Explanation:Based on your cousin's statement, the polynomial representing the length of the north side of the house is 9y + 2y. To determine the correctness of this polynomial, we must first simplify the expression. By combining like terms (terms with the same variable and exponent), the expression simplifies to 11y. So, the length of the north side is represented by 11y, not 9y + 2y. Hence, your cousin's statement is not correct.
Understanding how to combine like terms, simplify expressions, and handle polynomials is an important part of basic algebra skills. Polynomials can be used to represent many real world quantities such as the length of a side of a house as in this problem. Remember that it is crucial to perform all calculations accurately to avoid errors.
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explain the differences between relative dating and radiometric dating with respect to the principles each method uses, the accuracy or precision, the complexity of the techniques, and any sources of error.
There are major difference between them on the basis principles each method uses, the accuracy or precision, the complexity of the techniques, and any sources of error.
What is relative dating and Radiometric Dating ?Relative Dating :-
According to the relative ages of the strata, it is the science of determining the relative age of geological events preserved in rock records.The term "strata" describes the earth's surface's horizontal layers. As a result, stratigraphy is the study of strata to ascertain the relative ages of rocks.Dating volcanic and sedimentary rocks requires the use of relative dating. The oldest layers are found at the bottom of these rocks, and the youngest layers are found at the top.On the horizontality, superstition, and faunal succession principles, relative dating is predicated.Radiometric Dating :-
The age of rocks and fossils can be ascertained scientifically. The dating process is frequently used to establish the precise age of geological events preserved in rocks and fossils.Based on the radioactive decay of particular elements like potassium and carbon, the dating method is used.Electron spin resonance and thermoluminescence are used in the method. The technique is very important in determining the radioactivity's impact on the buildup of electrons in a crystal structure.Radioactive decay is the underlying theory used to estimate the age of rocks and fossils. An isotope's half-life is implied, for example, by the parent isotope's decay into the daughter isotope.Difference between Relative Dating and Radiometric Dating are :
While radiometric dating often offers the actual order of events by calculating their actual ages, relative dating tends to provide the relative order of events by determining the approximate age of the events.Actual numerical dates can be obtained from radiometric dating but not through relative dating.In contrast to radiometric dating, which provides the precise dates of geological events, relative dating is crucial for establishing the order of events.While radiometric dating is based on the theory of decaying radioactivity, relative dating is based on the idea of sedimentary rocks that have not been altered.Original horizontality, superstition, and faunal succession are used in relative dating, whereas electron spin resonance and thermoluminescence are used in radiometric dating.Rocks from volcanic eruptions and sedimentary processes are used for relative dating, while radiometric dating uses uranium.To learn more about Radioactivity, visit:
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What arc does ABC intersect? BC AB AC
Please help
Answer:
Arc AB
Step-by-step explanation:
This is because it is the only arc that intersect
HELP MEH BRAINLIEST ANSWERS
Answer:
Not sure if this has been answerd but its 6
Step-by-step explanation:
if u are really gonna give brain that would be cool
sam got a new job with a $7.00 per hour raise. he worked for 5 hours and got paid $85.00. how much did he make before the raise?
Find the exact coordinates of the centroid for the region bounded by the following curves: y=16x,y= 9/x
,y=0,x=10.
To find the coordinates of the centroid for the region bounded by the curves y=16x, y=9/x, y=0, and x=10, we need to calculate the x-coordinate and y-coordinate of the centroid separately. First, let's find the x-coordinate of the centroid.
We can use the formula: x-bar = (1/A) ∫[a,b] xf(x) dx, where A is the area of the region. The intersection points of the curves y=16x and y=9/x can be found by setting the equations equal to each other: 16x=9/x.
Solving this equation, we get x=±√(9/16)=±3/4. Since the region is bounded by x=10, we take the positive value x=3/4. To find the area A, we integrate the difference between the curves: A=∫[3/4,10] (16x-9/x) dx. Evaluating this integral, we find A=400-9ln(10).
Now we can calculate the x-coordinate of the centroid: x-bar=(1/A) ∫[3/4,10] x(16x-9/x) dx. Simplifying the integral and evaluating it, we get x-bar=(8160-36ln(10))/(400-9ln(10)). Next, let's find the y-coordinate of the centroid.
Since the region is symmetric about the x-axis, the y-coordinate of the centroid will be y-bar=0. Therefore, the exact coordinates of the centroid for the given region are: (x-bar, y-bar)=((8160-36ln(10))/(400-9ln(10)), 0).
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Pls help and show how do show it on paper
Answer:
there is really no way to show but all you have to do is look at the angle across from angle 1 which is angle 4 because it is vertical to angle 1. hope that helps
B = { x: 1≤ x ≤ 11 where x is a prime number} What is x?
Answer: x is anything from the set {2, 3, 5, 7, 11}
This is the list of primes between 1 and 11. The value 1 is not prime.
What is the factored form?
Answer:
(b − 10)(b^2 + 10b + 100)
Step-by-step explanation:
Ten computers work on a problem independently. Each computer has a probability .92 of solving the problem. Find the probability that at least one computer fails to solve the problem. a. .08 b. .43 c. .57 d. .92
The probability that at least one computer fails to solve the problem is approximately 0.431 or 43%, which is option (b).
The probability that a single computer solves the problem is 0.92. Therefore, the probability that a single computer fails to solve the problem is:
P(failure) = 1 - P(success) = 1 - 0.92 = 0.08
Since the computers are working independently, the probability that all ten computers solve the problem is:
P(all computers solve) = 0.92¹⁰= 0.569
The probability that at least one computer fails to solve the problem is the complement of the probability that all computers solve the problem:
P(at least one computer fails) = 1 - P(all computers solve) = 1 - 0.569 = 0.431
Therefore, the probability that at least one computer fails to solve the problem is approximately 0.431 or 43%, which is option (b).
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How long does it take an account with a principal of 400 to earn $60 in interest at a simple annual interest rate of 3% It takes_ years
Answer:
It will take 5 years
Step-by-step explanation:
Have a great day!
The square root of 75 is_____ (round to the hundredths place if necessary)
The length of each side of an equilateral triangle is 4 cm longer than the length of each side of a square. If the perimeter of these two shapes is the same, find the area of the square.
The area of the square is 144 \(cm^{2}\).
Let x be the side of the square. Then the length of the triangle is (x+4). Perimeter is the length of all sides of a geometric figure combined. For an equilateral triangle, it's equal to thrice the length of one side. For a square, it's four times the length of one side. The Perimeter of the Triangle is 3(x+4) & the Perimeter of the square is 4x.
We know, both these perimeters are equal. Hence,
4x = 3(x+4)
To further simplify the above equation.
4x = 3x + 12
x = 12
Hence, the length of one side of the square is 12 cm. The area of the square can be calculated as follows:
Area = \((side)^{2}\)
Area = 12 * 12
Area = 144 \(cm^{2}\)
Hence, the Area of the Square is 144 \(cm^{2}\)
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Kari has $400 in a savings account the interest rate is 10% compounded annually which type of model best fits this situation
Answer:
What model?
Step-by-step explanation:
if the least-squares regression line for predicting y from x is y = 50 – 15x, what is the predicted value of y when x = 3?
The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.
The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.
To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.
Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.
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Let A = {a, b, c). Indicate if each of the following is True or False. (a) b) E A (b) A 2. (d) (a, b cA
Let A = {a, b, c).
Indicate if each of the following is True or False. The following statement is:
(a) b ∈ A is true because he element 'b' is present in set A.
(b) A ⊆ A is true
(d) (a, b, c) ∈ A is false
To analyze the statements, let's consider the set A = {a, b, c}.
(a) b ∈ A
This statement is True. The element 'b' is present in set A.
(b) A ⊆ A
This statement is True. Set A is a subset of itself, as all elements of A are contained in A.
(d) (a, b, c) ∈ A
This statement is False. The expression (a, b, c) represents a tuple or an ordered sequence of elements, whereas A is a set.
Tuples and sets are distinct concepts. In this case, the tuple (a, b, c) is not an element of set A.
In summary:
(a) True
(b) True
(d) False
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which of the following is true regarding multicollinearity in a linear regression model? group of answer choices if multicollinearity is present in a linear regression model, it means that the resulting prediction values for the dependent variable are incorrect. multicollinearity is caused by linear correlation between independent variables. if multicollinearity is present in a linear regression model, it means that the r-square value should not be used to evaluate the fit of the model on the sample data. multicollinearity is caused by the unexpected presence of categorical variables in a model to be used for linear regression.
Multicollinearity occurs when independent variables in a regression model are correlated.
Multicollinearity is a statistical concept that describes the correlation of several independent variables in a model. If the correlation coefficient between two variables is +/- 1.0, they are considered perfectly collinear. When independent variables are multicollinear, statistical inferences are less reliable.
Multicollinearity is a problem because it undermines an independent variable's statistical significance. Other things being equal, the larger a regression coefficient's standard error, the less likely it is that this coefficient will be statistically significant.
When two or more predictors in a regression model are moderately or highly correlated with one another, multicollinearity exists. Unfortunately, it can wreak havoc on our analysis, limiting the research conclusions we can draw.
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According to Maria, it takes 240 cherries to make 3 perfect cherry pies. How many cherries would it take to make 9 perfect cherry pies?
Answer:
720 cherries
Step-by-step explanation:
Answer:
720
Step-by-step explanation:
Cherries Cherie pie
240 = 3
X = 9
The known number of cherries will be given as x then u cross multiply
3×X=240×9
3X=2,160
Divide both sides by 3
3/3X=2,160/3
X=2,160/3
X=720
This implies that the number of cherries needed to make 9 cherry pie is 720
I hope this help
The mass of a baby boy at birth was 3.6kg. When he was 6 months old and 12 months old, his masses were 7.2 kg and 10.0 kg respectively. What was the percentage increase in his mass at 12 months old when compared with (a) his mass at birth (b) his mass at 6 months old
Using the concept of fraction and percentage, the percentage increase of the baby at 12 months is 177.7 percent
What is Percentage IncreasePercentage increase is a mathematical concept that refers to the increase in a particular value over its initial amount. It is usually expressed as a percentage and is calculated by dividing the increase in the value by the original amount, then multiplying by 100.
In this problem, the data given are;
Initial mass = 3.6kgmass at 6 months = 7.2kgmass at 12 months = 10kgThe percentage increase at 12 months old can be calculated as
percentage increase = [(mass at 12 months - Initial mass) / Initial mass] * 100
percentage increase = [(10 - 3.6) / 3.6] * 100
percentage increase = 1.7 * 100
Percentage increase = 177.7%
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Khloe buys cookies and onions at the store.
She pays a total of $53.21.
She pays a total of $6.25 for the cookies.
She buys 8 bags of onions that each cost the same amount.
How much does each bag of onions cost?
Answer:
$5.87
Step-by-step explanation:
let x=the cost of each bag of onions. So first we set up an equation 8x+6.25=53.21
suppose we run an experiment where you toss a fair coin 6 times. what is the probability that you will toss exactly 2 heads? a. 0.0156 b. none of these c. 0.2344 d. 0.0938 e. 0.3750
Answer:
Step-by-step explanation:
Answer for this question is option (c) 0.2344
Approach:
The probability of getting a Head in single toss
x= 1/2
The probability of not getting a Head in single toss
y= 1 - 1/2 = 1/2
Now, using Binomial Theorem, the probability of getting r = 2 heads in total n = 6 tosses
= ⁶C₂ * (1/2)² * (1/2)⁶⁻²
= [ (6!) / (2! * 4!) ] * (1/4) * (1/16)
= [ (6*5*4*3*2*1) / (2*1 * 4*3*2*1) ] * (1/64)
= 15/64
= 0.234374
= 0.2344 (Round off value)
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Given:
A fair coin is tossed 6 times.
To find:
Probability that you will toss exactly 2 heads.
Probability that you will get a head in a single toss is: Q = 1/2
Probability that you will not get a head in a single toss is: R = 1 – 1/2 = 1/2
We use Binomial Theorem to find the probability of getting 2 heads (x) in a total of 6 tosses (n)
Probability = ⁶C₂ x (1/2)² x (1/2)⁶⁻²
Probability = [(6!) / (2! x 4!)] x (1/4) x (1/16)
Probability = [(6 x 5 x 4 x 3 x 2 x 1) / (2 x 1 x 4 x 3 x 2 x 1)] x (1/64)
Probability = 15 / 64
Probability = 0.234374
Probability = 0.2344
Therefore, the probability of getting exactly 2 heads in 6 tosses is 0.2344
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