The probability of getting 3 tails is 31.25 %.
What is the probability of getting 3 tails?
The probability of getting 3 tails after tossing the coin 4 times is calculated by applying the following formula.
P(3 tails) = number of times 3 tails appeared / total possible outcomes
3 tails appeared in : HTTT, THTT, TTHT, TTTH, TTTT = 5
Total possible outcome = 16 or 2⁴ = 16
The probability of getting 3 tails is calculated as follows;
P (3 tails) = 5/16 x 100%
P (3 tails ) = 31.25 %
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Rectangle LMNO is translated using the rule (x, y) → (x + 2, y + 2) to create rectangle L'M'N'O'. If a line segment is drawn from point L to point L' and from point O to point O', which statement would best describe the relationship between segment L L prime and segment O O prime?
a.) They share the same midpoints.
b.) They are diameters of concentric circles.
c.) They are perpendicular to each other.
d.) They are parallel and congruent.
Answer:
It is not Answer A for sure just got it wrong on the Test.
Step-by-step explanation:
Cannot tell you what the real answer is but have narrowed it down to 3.
DO NOT PICK HAVE SAME MIDPOINTS.
Answer:
The answer is A.
Step-by-step explanation:
I took the test and it was correct.
Dig deeper a group of people pay 110 to attend a carnival. the number of adults and children in the grup is the same. how many adults and children are in the group? explain
x = 1/2, 'x' represents the number of adults and children in the group, and since we can't have a fraction of a person, we can conclude that there is 1 adult and 1 child in the group.
Let's assume that the number of adults and children in the group is represented by the variable 'x'. Since the number of adults and children is the same, we can say that there are 'x' adults and 'x' children in the group.
Now, we know that the cost for each adult and each child to attend the carnival is $110. Since there are 'x' adults and 'x' children, the total amount paid by the group can be calculated by multiplying the cost per person by the total number of people:
Total amount paid = Cost per person * Total number of people
= $110 * (x + x)
= $110 * 2x
= $220x
We are given that the total amount paid by the group is $110, so we can set up the equation:
$220x = $110
To solve for 'x', we divide both sides of the equation by $220:
x = $110 / $220
x = 1/2
Therefore, 'x' represents the number of adults and children in the group, and since we can't have a fraction of a person, we can conclude that there is 1 adult and 1 child in the group.
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help me in these please. You will then get BRAINLIEST
1 Ques
Answer
a) Subtract x from both sides:
Divide both sides by -4 to get:
(b)
Add x to both sides:
Subtract 16 from both sides:
Divide both sides by 26 to get:
Simplify:
(c)
Add 12 to both sides:
Subtract x from both sides:
Divide both sides by 7 to get: or we can write
the phone calls to a computer software help desk occur at a rate of 3 per minute in the afternoon. compute the probability that the number of calls between 2:00 pm and 2:10 pm is:
The probability that the number of calls between 2:00 pm and 2:10 pm is exactly 200 is 0.000002204.
This can be calculated using the Poisson distribution. The Poisson distribution is used to model the probability of a given number of events occurring in a given time interval.
The Poisson equation is P(x) = (λ^x e^-λ)/x!
where λ is the expected number of occurrences per interval.
For this question, λ = 3/min, since the rate of calls to the computer software help desk is 3 per minute.
Plugging λ = 3/min into the Poisson equation, we get
P(x) = ((3/min)^200 e^-(3/min))/200!.
This simplifies to
P(x) = 0.000002204.
The probability of having exactly 200 phone calls to a computer software help desk in the 10-minute period from 2:00 pm to 2:10 pm is 0.000002204.
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Help me answer please?
Answer:
For #1 add up all males and females and then create a chart of how many bars males and females ate
Given the statement, LEI=BNZ and the diagrams shown, determine the value of x.
Answer:
x = 20
Step-by-step explanation:
Given the triangles are congruent then corresponding angles are congruent, so
∠ N = ∠ E
To calculate ∠ E subtract the sum of the 2 given angles from 180
∠ E = 180 - (x - 5 + 4x - 10)
= 180 - (5x - 15)
Equate ∠ N and ∠ E
5x - 5 = 180 - 5x + 15 ( add 5x to both sides )
10x - 5 = 195 ( add 5 to both sides )
10x = 200 ( divide both sides by 10 )
x = 20
Please help with us math work
Following are the mathematical operations for the numerics.
Mathematical operations -An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.
In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.
Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers. Image: The basic mathematical operation symbols. A set of numbers and operations make up a mathematical expression.
24 × 3/4 = 1824 ÷ -3/4 = -3212 - 15 = -312 - 15 = 27-18 ÷ -3/4 = 24To learn more about Mathematical operations from given link
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Four integers have a mean of 9, a median of 8.5, a mode of 5 and a range of 9.
Find the four integers.
The four integers are 5, 5, 12 and 14.
What is Mean, Mode and Median?A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set.
When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.
Given:
Mean= 9
Median = 8.5
Mode = 5
Range = 9.
let the numbers arranged in ascending order are a,b,c,d
Median: b+ c /2 = 8.5
b+ c = 17 (number in the middle)
Mode: a = 5, b= 5 {because mode is the most repeating data}
Range: d- a = 9 (last one minus first one)
d= 9 + 5
d= 14
Now, b+c = 17
c= 17-5
c= 12
So, the data is 5 ,5, 12, 14.
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Find the following from 2,7,7,10,12.
Mean
Median
Mode
Range
Answer: Range is 10, Median is 7, Mode is 7, Mode is 7.8
Step-by-step explanation:
Solve the system of equations:
y= 2x - 2
y= x2 - x-6
O A. (-1,-5) and (4,2)
O B. (0, -2) and (2, 2)
O C. (-1,-4) and (4, 6)
D. (-2,0) and (3,0)
Answer:
C) (-1, -4) and (4, 6)
Step-by-step explanation:
\(\textsf{Equation 1}:y=2x-2\)
\(\textsf{Equation 2}:y=x^2-x-6\)
Substitute Equation 1 into Equation 2 and solve for x:
\(\implies 2x-2=x^2-x-6\)
\(\implies x^2-3x-4=0\)
Find two numbers that multiply to -4 and sum to -3: -4 and 1
Rewrite the middle term as the sum of these two numbers:
\(\implies x^2-4x+x-4=0\)
Factorize the first two terms and the last two terms separately:
\(\implies x(x-4)+1(x-4)=0\)
Factor out the common term \((x-4)\):
\(\implies (x+1)(x-4)=0\)
\(\implies (x+1)=0 \implies x=-1\)
\(\implies (x-4)=0 \implies x=4\)
Substitute the found values of x into Equation 1 and solve for y:
\(x=-1 \implies y=2(-1)-2=-4\)
\(x=4 \implies y=2(4)-2=6\)
Therefore, the solution to the system of equations is:
(-1, -4) and (4, 6)
n order to eliminate data redundancy and avoid update anomalies, find the 1nf, 2 nf, and 3nf of the following bookorder tables
Without specific table structures and dependencies provided, it is not possible to determine the 1NF, 2NF, and 3NF of the bookorder tables.
Please provide the table structures and dependencies of the bookorder tables to determine their 1NF, 2NF, and 3NF.?To determine the 1NF, 2NF, and 3NF of the bookorder tables, we need to consider the normalization process and identify any dependencies among the attributes. Without the specific table structures and dependencies provided, it is not possible to provide a specific answer. However, in general, the normalization process aims to eliminate data redundancy and update anomalies by organizing data into separate tables based on functional dependencies. In 1NF, each attribute should hold atomic values. In 2NF, non-key attributes should depend on the entire key. In 3NF, non-key attributes should depend only on the key, not on other non-key attributes. The specific normalization steps depend on the specific attributes and dependencies in the given tables.
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A 2-gallon container of window cleaner costs $31.68. What is the price per quart?
Answer: $3.96 per quart
Step-by-step explanation:
2 gallons = 8 quarts
Price per quart = 31.68/8 = $3.96
Therefore, price per quart = $3.96
Answer:
$3.36 per gallon
Step-by-step explanation:
So 2 gallons is equal to 8 quarts, so then you do $31.68 divided by 8 which gives you the answer of $3.36 per gallon
x2-y2-x-y anyone help to solve this matter
Answer:
(x+y)(x-y-1)
Step-by-step explanation:
x²-y²-x-y= (x+y)(x-y)-(x+y)= (x+y)(x-y-1)
Answer:
(x + y)(x - y - 1)
Step-by-step explanation:
x² - y² - x - y =
= (x - y)(x + y) - (x + y)
= (x + y)(x - y - 1)
use a² - b² = (a - b)(a + b)
Regarding control charts, changing from two-sigma limits to three-sigma limits: A. decreases the probability that the process average will change. B. increases the probability of concluding nothing has changed, when in fact it has. C. decreases the probability that defects will be generated by the process. D. does not change the probability of making type I or type II errors. E. increases the probability of searching for a cause when none exists.
Changing from Two-sigma limits to three-sigma limits helps to reduce the probability that defects will be generated by the process. Hence the correct answer is C.
What is a Two-Sigma Limit?
This is used to refer to the inclusion of about ninety-five percent of data plotted on the normal distribution curve.
Three sigma-limit on the other hand is a statistical calculation where data fall within three standard deviations from a mean.
If in a manufacturing firm, the quality control unit issues out a polity to reject products that are within two standard deviations to their accepted mean, then more errors will be captured thus resulting in a lot of loss or defective products.
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A kite was broken into two triangles that have the same size and shape.
The height of the triangle h is 7 m
Answer:
14
Step-by-step explanation:
- the kite is equal in length
- 7+7
= 14
Answer:
the answer is (7)
Step-by-step explanation:
hope it helps :)
The method of least squares with non-polynomial functions (a). We are given a data set (k, yk), with k = 0,...,m. We seek a function of the form g(x) a sin x + 3 cos x that best approximates the data. Set up the normal equations, which solve the problem with the method of least squares. Compute the values of a and 3 which provide the best fit to the particular data Y 1.0 1.902 1.5 0.5447 2.0 2.5 -0.9453-2.204 (b). Let f(x) be a given function and a (k = 0,m) be a set of points. What constant c makes the expression as small as possible? m k=0 [f(ak)-ce**1²
a. The function that best approximates the given data is:
g(x) = 1.896 sin x - 2.208 cos x
b. The constant c that makes the expression as small as possible is given by the above expression.
(a) To set up the normal equations for the given data set, we first define the function:
g(x) = a sin x + 3 cos x
where a and 3 are the coefficients that we want to determine. We then use the method of least squares to find values of a and 3 that minimize the sum of squared errors between the function g(x) and the data points (k, yk).
The sum of squared errors is defined as:
S = Σ(yk - g(k))²
where Σ represents the sum over all k from 0 to m.
To minimize S, we take the partial derivatives of S with respect to a and 3 and set them equal to zero:
∂S/∂a = -2Σ(yk - g(k)) sin k = 0
∂S/∂3 = -2Σ(yk - g(k)) cos k = 0
These equations are known as the normal equations. Solving these equations simultaneously, we get:
a = 1.896
3 = -2.208
Therefore, the function that best approximates the given data is:
g(x) = 1.896 sin x - 2.208 cos x
(b) To find the constant c that makes the expression as small as possible, we need to take the derivative of the expression with respect to c and set it equal to zero:
d/d(c) [Σ(f(ak) - ce^(-k^2))] = -2Σe^(-k^2)(f(ak) - ce^(-k^2)) = 0
Solving for c, we get:
c = Σf(ak)e^(-k^2) / Σe^(-2k^2)
Therefore, the constant c that makes the expression as small as possible is given by the above expression.
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Boyd has the following utility function: U = 100B where B represents books and C represents audio CDs Boyd currently consumes 10 units of good B and 4 units of good C. His total level of utility is 2000 (round your answer to one decimal place) Which would he prefer added to his consumption bundle? One more unit of good B or one more unit of good C? One more unit of good ____ would be prefered
The increase in utility is more when one more unit of good C is added in the consumption bundle, and thus, Boyd would prefer to consume one more unit of good C.
Based on the given data, we can see that Boyd's utility function is U=100B^0.5C^0.5.
Boyd's initial consumption bundle is B=10 units and C=4 units, which gives a total utility of 10010^0.54^0.5 = 2000.
When Boyd adds one more unit of good B to his consumption bundle, his new consumption bundle is B=11 units and C=4 units, which gives a total utility of 10011^0.54^0.5 = 2200.
When Boyd adds one more unit of good C to his consumption bundle, his new consumption bundle is B=10 units and C=5 units, which gives a total utility of 10010^0.55^0.5 = 2236.
The increase in utility when Boyd adds one more unit of good C is 2236 - 2000 = 236, whereas the increase in utility when Boyd adds one more unit of good B is 2200 - 2000 = 200.]
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Hans spent three days baking 224 cookies. On the second day, he baked twice as many as he did on the first day. On the third day, he baked half as many as he did on the first day.
How many cookies did he bake on the second day?
Answer:
He baked 448 on the second day
Step-by-step explanation:
Why because he Baked 224 on the 1st day 448 on the second day and 112 on the 3rd
Answer:
128 on the second day
Step-by-step explanation:
I need an explanation for the problem 4v2=-12v-9. I don't understand why it factors into 4v+3 and 4v+3
Answer:
The factors are \(2v+3,2v+3\).
The factors are not \(4v+3,4v+3\)
Step-by-step explanation:
Equation is \(4v^2=-12v-9\).
This equation can be written as follows:
\(4v^2+12v+9=0\)
Here,
\(12v=6v+6v\)
Therefore,
\(4v^2+6v+6v+9=0\\2v(2v+3)+3(2v+3)=0\\(2v+3)(2v+3)=0\)
So, the factors are \(2v+3,2v+3\).
The factors are not \(4v+3,4v+3\)
The formula below gives the sum of the degrees, S, of the interior angles of a polygon. If n represents the number of sides, which equation solves for n?
S = (n-2) x 180
F. n = s/180 + 2
G. n = 180s + 2
H. n = s+2/180
J. n = (s+2) x 180
Answer: F. n = s/180 + 2
Step-by-step explanation:
To find the equation that solves for n, we will isolate the n variable.
Given:
S = (n - 2) x 180
Divide both sides of the equation by 180:
\(\frac{S}{180}\) = n - 2
Add 2 to both sides of the equation:
\(\frac{S}{180}\) + 2 = n
Reflexive property:
n = \(\frac{S}{180}\) + 2
F. n = s/180 + 2
The variance of a distribution of means of samples of more than one is
A) smaller than the original population variance.
B) the same as the original population variance.
C) greater than the original population variance.
D) unrelated to the original population variance.
The variance of a distribution of means of samples of more than one is A) smaller than the original population variance.
When considering the distribution of means of samples, the central limit theorem states that as the sample size increases, the sampling distribution approaches a normal distribution regardless of the shape of the population distribution. Additionally, the standard error of the mean decreases as the sample size increases.
The variance of a population is denoted by σ^2.
The variance of the distribution of sample means, also known as the sampling distribution, is denoted by σ^2/N, where N is the sample size.
As the sample size (N) increases, the denominator increases, leading to a smaller value for the variance of the distribution of sample means (σ^2/N). Thus, the variance of the distribution of means of samples is smaller than the original population variance.
The variance of a distribution of means of samples of more than one is smaller than the original population variance. This is due to the central limit theorem and the decrease in standard error as the sample size increases.
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Combine the like terms to create an equivalent expression:
-n+(-4)-(-4n)+6}
Please help ASAP 4-10 for Brainliest
which of the following is true? multiple choice line charts are not used for cross-sectional data. pyramid charts are generally preferred instead of column charts. line charts are useful for visualizing categorical data. pie charts can generally be used instead of bar charts.
A line chart is a type of graph used to show the relationship between two variables.
It is used for plotting data points that are connected by a straight line. The two variables can be either continuous or categorical. The line chart is useful for visualizing the relationship between the two variables and how they change over time. Line charts can be used to display data over a period of time, such as stock prices, or to compare different categories of data.
A pyramid chart is a type of graph used to compare different groups of data. It is usually used to show the relative sizes of different categories within a data set. The pyramid chart is generally preferred over the column chart because it is easier to compare the relative sizes of the different categories.
Pie charts are a type of graph used to show the relative size of different categories in a data set. They are useful for visualizing the proportions of the different categories. Pie charts can generally be used instead of bar charts, but they are not as useful for comparing the relative sizes of different categories or for displaying data over a period of time.
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a racing car consumes a mean of 101 gallons of gas per race with a variance of 49 . if 43 racing cars are randomly selected, what is the probability that the sample mean would differ from the population mean by greater than 2.4 gallons? round your answer to four decimal places.
The probability that the sample mean would differ from the population mean by greater than 2.4 gallons
To solve this problem, we need to use the central limit theorem and the formula for the standard error of the mean:
Standard error of the mean = standard deviation / square root of sample size
In this case, the standard deviation is the square root of the variance, which is 7. Therefore, the standard error of the mean is:
Standard error of the mean = 7 / square root of 43 ≈ 1.061
Next, we need to calculate the z-score for a difference of 2.4 gallons:
z-score = (sample mean - population mean) / standard error of the mean
z-score = (101 - 101.6) / 1.061 ≈ -0.566
Note that we subtract the population mean from the sample mean because we want to know how much the sample mean differs from the population mean.
Finally, we can use a standard normal distribution table (or a calculator) to find the probability that a z-score is less than -0.566 or greater than 0.566 (since the distribution is symmetric). The probability of a z-sitcore less than -0.566 is approximately 0.2881, so the probability of a z-score greater than 0.566 is also approximately 0.2881. Therefore, the probability that the sample mean would differ from the population mean by greater than 2.4 gallons is:
Probability = 0.2881 + 0.2881 ≈ 0.5762
Rounding to four decimal places, the answer is 0.5762.
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A penny is 6×10
–
2 inches thick. The Empire State Building has a height of 1,250 feet, or 1.5×104 inches. How many pennies would you have to stack to reach the top of the Empire State Building?
Write your answer in scientific notation.
u are cheating we must help
Answer:
2.5x10^5
Step-by-step explanation:
Given the following exponential function, identify whether the change represents growth or decay, & determine the percentage rate of increase or decrease
y = 250 (1.078) ^x
Answer:
The exponential function represents growth, the percentage rate of increase is 7.8 %
Step-by-step explanation:
Please see the attachment.
The exponential function represents growth, the percentage rate of increase is 7.8 %
Find the approximate side length of a square game board with an area of 111 in square
Answer:
10. 535
Step-by-step explanation:
Show, using dimensional analysis, how many dollars are equal in value to 296 quarters. 296 quarters ×
( unit)
(number)
=1 dollars
296 quarters is equal in value to 74 dollars.
To determine the value of 296 quarters in dollars using dimensional analysis, we need to convert the number of quarters to dollars. Since 4 quarters are equivalent to 1 dollar, we can set up a conversion factor:
1 dollar = 4 quarters
To cancel out the unit "quarters" and end up with "dollars," we multiply the given quantity (296 quarters) by the conversion factor:
296 quarters × (1 dollar/4 quarters) = 74 dollars
Therefore, 296 quarters is equal in value to 74 dollars.
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What is the area of the square?
5 cm
200 cm?
O 100 cm
O 25cm
2
O 60cm
I need how you did it too
Answer:
100cm^2
Step-by-step explanation:
5×2=10 which is one side
base×height=area
10×10=100