how many subsets with an odd number of elements does a set with 18 elements have?
Answers
A set with 18 elements has\($2^{18}$\) subsets. Each element can either be a part of a subset or not, meaning that there are 2 possibilities for each of the 18 elements in a subset.
Thus, the total number of possible subsets is\($2^{18}$\).Since we are looking for the number of subsets with an odd number of elements, we can first find the number of subsets with an even number of elements and subtract that from the total number of subsets.
We know that half of the subsets will have an even number of elements, so the number of subsets with an even number of elements is $2^{17}$.Therefore, the number of subsets with an odd number of elements is $2^{18} - 2^{17}$. To simplify this, we can factor out a \($2^{17}$\) to get \($2^{17} (2-1)$ which simplifies to $2^{17}$.\) Thus, a set with 18 elements has $2^{17}$ subsets with an odd number of elements.
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Related Questions
19 - 6(-k + 4) Simplify to create an equivalent expression
Answers
The equivalent expression of this 19 - 6(-k + 4) will be 6k + 5.
Given that:
Expression, 19 - 6(-k + 4)
The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.
Simplify the expression, then we have
⇒ 19 - 6(-k + 4)
⇒ 19 + 6k - 24
⇒ 6k - 5
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what is 6/12 in its lowest terms
Answers
Answer:
1/2
Step-by-step explanation:
if that's what you're asking
Answer:
\(\frac{1}{2}\)
Step-by-step explanation:
\(\frac{6}{12} =\frac{1}{2}\)
Note: It's not called lowest terms it's called simplest forms.
What is the area of the shape below?
Answers
Answer:
30 yd²
Step-by-step explanation:
Hello There!
The shown figure is a trapezoid
The first thing we need to do is figure out what the formula for area of a trapezoid is
\(A=\frac{a+b}{2} h\)
where a and b = bases and h = height
we are given all of the dimensions so all we have to do is plug in the values
a = 9
b = 6
h = 4
\(A = \frac{6+9}{2} 4\\6+9=15\\\frac{15}{2} =7.5\\7.5*4=30\)
so we can conclude that the area of the figure is
30 yd²
~TheMathWiz
Answer:
30
Step-by-step explanation:
first you find the area of the rectangle the formula is A=wl
A=6*4=24
Then find the area of the triangle the formula is A =h b/2
A=4 3/2
6
the base is 3 because the whole bottom is 9 but the base of the square is 6 and so 9-6=3
now add them together
24+6=30
write the equation of the line that passes through the points (2 , -1) and has a slope of - 3
Answers
Answer:
y=-3x+5
Step-by-step explanation:
y=mx+b
m=slope or gradient (=-3)
y=-3x+b
Add your points
(2, -1)
-1=(-3 x 2)+b
-1= -6+b
-1+6=b
b=5
y=-3x+5
Answer:
\(\boxed {\boxed {\sf y= -3x+5}}\)
Step-by-step explanation:
We are asked to find the equation of the line that passes through the point (2, -1) and has a slope of -3.
We are given a point and the slope, so we can use the point-slope formula.
\(y-y_1=m(x-x_1)\)
In this formula, m is the slope and (x₁, y₁) is the point the line passes through.
The line has a slope of -3 and passes through (2, -1).
m= -3 x₁= 2 y₁= -1Substitute the values into the formula.
\(y--1= -3 (x-2)\)
\(y+1= -3 (x-2)\)
Distribute the -3 on the right side. Multiply each term inside the parentheses by -3.
\(y+1 = (-3*x) + (-3*-2)\)
\(y+1=(-3x) + (6)\)
\(y+1=-3x+6\)
Subtract 1 from both sides of the equation to isolate the variable y.
\(y+1-1=-3x+6-1\)
\(y=-3x +5\)
The equation of the line is y= -3x+5.
When tax is added to the cost of a lipstick,its price increases from $16.50 to $18.48.what is the rate at which tax is charged?
Answers
Answer:
1.98 is your tax rate of the lipstick
How many solutions does the following equation have ?
–42 – 7 + 10x = -7 + 62
Answers
What is the value of x that makes the given equation true?
x−3x=2(4+x)
x=−4
x=−3
x=−2
x=−1
Answers
Answer:
-2
Step-by-step explanation:
-2-3*(-2)=2(4+(-2))
-2+6=2*2
4=4
Suppose the commuting time on a particular train is uniformly distributed between 40 and 90 minutes. What is the probability that the commuting time will be between 50 and 60 minutes? Linked below is
Answers
The probability of the commuting time being between 50 and 60 minutes is determined for a train with a uniformly distributed commuting time between 40 and 90 minutes.
In a uniform distribution, the probability density function (PDF) is constant within the range of the distribution. In this case, the commuting time is uniformly distributed between 40 and 90 minutes. The PDF for a uniform distribution is given by:
f(x) = 1 / (b - a)
where 'a' is the lower bound (40 minutes) and 'b' is the upper bound (90 minutes) of the distribution.
To find the probability that the commuting time falls between 50 and 60 minutes, we need to calculate the area under the PDF curve between these two values. Since the PDF is constant within the range, the probability is equal to the width of the range divided by the total width of the distribution.
The width of the range between 50 and 60 minutes is 60 - 50 = 10 minutes. The total width of the distribution is 90 - 40 = 50 minutes.
Therefore, the probability that the commuting time will be between 50 and 60 minutes is:
P(50 ≤ x ≤ 60) = (width of range) / (total width of distribution) = 10 / 50 = 1/5 = 0.2, or 20%.
Thus, there is a 20% probability that the commuting time on this particular train will be between 50 and 60 minutes.
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three machines, a, b, c produce a large number of identical products. 60% of the products come from machine a, 30% from b and 10% from c. historical records indicate that 10% of the parts produced by machine a are defective, compared with 30% for machine b and 40% for machine c. what is the probability that a randomly chosen part is defective?
Answers
The probability that a randomly chosen part is defective is 0.16, or 16%.
The probability that a randomly chosen part is defective, we need to use the law of total probability.
Let \($D$\) be the event that a part is defective and let \($M_i$\) be the event that the part came from machine \($i$\), for \($i = A, B, C$\).
Then we have:
\($P(D) = P(D|M_A)P(M_A) + P(D|M_B)P(M_B) + P(D|M_C)P(M_C)$\)
60% of the products come from machine A, 30% from machine B, and 10% from machine C.
Therefore:
\($P(M_A) = 0.6$\)
\($P(M_B) = 0.3$\)
\($P(M_C) = 0.1$\)
The probability of a part being defective is 10% if it comes from machine A, 30% if it comes from machine B, and 40% if it comes from machine C.
Therefore:
\($P(D|M_A) = 0.1$\)
\($P(D|M_B) = 0.3$\)
\($P(D|M_C) = 0.4$\)
Substituting these values into the law of total probability, we get:
\($P(D) = 0.1 \cdot 0.6 + 0.3 \cdot 0.3 + 0.4 \cdot 0.1 = 0.16$\)
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help please i cannot solve this.
Answers
Answer:
what is the unit under
Step-by-step explanation:
The point (-2,-3) is rotated 90 degrees counterclockwise using center (0,0). What are the coordinates.
Answers
Answer:
the answer would be (3, -2) hope this helps! :)
Step-by-step explanation:
the value of sqroot -4 is not -2 because
Answers
The length of a rectangle is 8 cm. Its diagonal measures 14
cm. What is its width?
Answers
Answer:
width is 2√33 cm
Step-by-step explanation:
you will make a right triangle with hypothenuse 14 , one side 8 and the other side x is the width.
use Pythagorean Th.
14² = 8² + x²
x² = 14² -8²
x² = 132
x = √132 = 2√33
Guess the car
Hint**Uncommon**
Using google image search wont work lol ;)
Answers
Answer:
It is a Cadillac Eldorado 1955
Step-by-step explanation:
Plz mark Brainliest
Answer:
1955 DeSoto Firedome Convertible Coupe
Step-by-step explanation:
my dad used to have that car lol
Difference between trigonal planar and trigonal pyramidal.
Answers
The main difference between trigonal planar and trigonal pyramidal is in their molecular geometry and the arrangement of atoms or groups around a central atom.
In trigonal planar geometry, the central atom is surrounded by three bonding pairs of electrons, resulting in a flat, triangular arrangement. All the bond angles in a trigonal planar molecule are 120 degrees. Examples of molecules with trigonal planar geometry include boron trifluoride (BF3) and formaldehyde (CH2O).
On the other hand, in trigonal pyramidal geometry, the central atom is surrounded by three bonding pairs of electrons and one non-bonding pair (lone pair) of electrons. This arrangement leads to a three-dimensional shape resembling a pyramid, with the lone pair occupying more space than the bonding pairs. The bond angle between the three bonding pairs in a trigonal pyramidal molecule is less than 109.5 degrees due to the repulsion from the lone pair. Ammonia (NH3) and phosphine (PH3) are examples of molecules with trigonal pyramidal geometry.
In summary, the key distinction between trigonal planar and trigonal pyramidal is the presence of a lone pair of electrons on the central atom in trigonal pyramidal geometry, which gives rise to a three-dimensional pyramidal shape. Trigonal planar molecules, in contrast, lack a lone pair and exhibit a flat, triangular arrangement.
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suppose there are 20 items, numbered 1 to 20. if we use a triangular matrix to count pairs, what pair’s count is in array indexed by 120?
Answers
The pair's count at array index 120 is 340.
The triangular matrix is a triangular arrangement of numbers starting from the top with 1, followed by two 2s, three 3s and so on. The diagonal elements are all 1s and the elements above the diagonal are all 0s. The element at array index 120 can be calculated by using the formula for triangular matrices, which is:
\(n(n+1)/2 + i\)
where n is the size of the matrix (in this case, 20) and i is the index of the element starting from 0.
Therefore, for the element at array index 120, we use the following formula:
20(20+1)/2 + 120 = 220 + 120 = 340
Therefore, the pair's count at array index 120 is 340.
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A bookstore had 70 copies of a magazine. Yesterday, it sold 1/5 of them. Today, it sold 5/7 of what remained. How many copies does the bookstore have left?
Answers
Answer: 16
Step-by-step explanation:
1/5 x 70 = 14
70 - 14 = 56
5/7 x 56 = 40
56 - 40 = 16
Answer:
16
Step-by-step explanation:
Yesterday, the bookstore sold 1/5 of the 70 copies, which is 70 * 1/5 = 14 copies.
After selling 14 copies, the bookstore was left with 70 - 14 = 56 copies.
Today, the bookstore sold 5/7 of what remained, which is 5/7 * 56 = 40 copies.
So, the bookstore has 56 - 40 = 16 copies left.
The number of dogs at the animal shelter is 150 less than the number of
cats. If there are 1450 dogs, d, and cats, c, all together. Which of the
system of equations can be use to find the number of cats are there?
Answers
Answer:
48, hope this helps!
pls help i cant get this?? here is what it says. Which box and whisker plot correctly displays the information about the hours of study?
Answers
Answer what are the number lines for? please explain is it for the numbers
Step-by-step explanation:
in forecasting, there is more than one use for linear regression. what are they? check all that apply.
Answers
Casual relationship forecasting and Time series forecasting uses linear regression in forecasting.
Linear regression is a statistical tool used in forecasting to model the relationship between a dependent variable and one or more independent variables. Some of the common uses of linear regression in forecasting are:
Predictive modeling: Linear regression can be used to build a predictive model that estimates the value of the dependent variable based on the values of the independent variables..Trend analysis: Linear regression can be used to analyze the trend of the dependent variable over time.Forecast accuracy evaluation: Linear regression can be used to evaluate the accuracy of a forecasting model by comparing the predicted values to the actual values of the dependent variable. Causal analysis: Linear regression can be used to identify the causal relationship between the independent variables and the dependent variable. .Therefore, linear regression is a versatile tool in forecasting, with many useful applications for predicting future values, analyzing trends, evaluating accuracy, and identifying causal relationships.
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The complete question is :
In forecasting, there is more than one use for linear regression. What are the? Check all that apply.
1. Causal relationship forecasting
2. Time series forecasting
please help I will give brainiest to first answer
Answers
Answer:
solution here
<M=62
add 30+32
Answer:
D. not enough information
Step-by-step explanation:
6) Use any of the digits 1, 3, and 9 and the operation signs +, -, x, to write all the whole numbers from 1 through 13. Each digit can be expressed only once in each example. You can use other digits in the expression, but you must also use a 1, 3, or 9 at least once in each expression.
Example: The first three (3) have some examples for you.
Number
a) 1
Expression
2 - 1 OR 3 - 2
b) 2
3 - 1
c) 3
3 x 1 OR 9 3
d) 4
e) 5
f) 6
g) 7
h) 8
i) 9
j) 10
k) 11
l) 12
m) 13
Answers
Answer:
1 = 1; 2 = 3 -1; 3 = 3; 4 = 3 +1; 5 = 9 -3 -1;
6 = 9 -3; 7 = 9 -3 +1; 8 = 9 -1; 9 = 9; 10 = 9 +1
11 = 9 +3 -1; 12 = 9 +3; 13 = 9 +3 +1
Step-by-step explanation:
You want the numbers 1 – 13 expressed in terms of the digits 1, 3, 9 using operations +, -, and ×.
Base 3The digits 1, 3, 9 represent the place values of numbers in base 3. This means we can use the base-3 representation of a number to give a clue as to how to represent it using these digits.
The digits of a base 3 number are 0, 1, 2. We don't have a 2 to work with, but we know that 2 = 3 -1, so we can use that fact. Here is an example:
5 = 12₃ = 1×3 + (3 -1)×1 = 3 +3 -1
= 20₃ -1 = (3 -1)×3 -1 = 9 -3 -1
After writing a few numbers, we notice the signs go in the progression +, -, 0 where 0 means the digit is not included. The attachment shows the sums that make the numbers 1–13.
__
Additional comment
We could, of course, use the allowed "other digits" to include 2. For example, ...
5 = 3 + 2×1
6 = 2×3
<95141404393>
Discuss the difference between r and p. Choose the correct answers below. r represents the : p represents the: 1. sample correlation coefficient thing 2. critical value for the correlation coefficient. 3. population correlation coefficient. Discuss the difference between r and p. Choose the correct answers below. r represents the: p represents the: 1. critical value for the correlation coefficient. 2. population correlation coefficient. 3. sample correlation coefficient. Click to select your answers)
Answers
The linear correlation coefficient unknown population is denoted by the statistic r and correlation strength is denoted by the parameter p, respectively.
As a result, correlations are generally portrayed by the two integers r and p. A number of +1 denotes a fully linearly positive correlation, while a number of -1 denotes a fully linearly negative connection. The correlation coefficient has a range of -1 to +1. The linear correlation becomes weaker as r approaches closer to zero.
The sample correlation coefficient evaluates the scatter plot points and a linear regression line constructed from those points (r). The correlation coefficient, denoted as r, ranges in value from -1 to 1. A p-value is a measure of statistical significance.
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The price of chicken breast rises from $3.30 per pound to $3.63 per pound. In response to this price change, the quantity demanded for chicken breast falls by 40%. The absolute value of the price elasticity of demand for chicken breast is and the price elasticity of demand is a) 4.2; inelastic b) 4,2; clastic c) 0.24 : inelastic d) 0.24; elastic
Answers
The absolute value of the price elasticity of demand for chicken breast is and the price elasticity of demand is 4.25 elastic. Thus, option b is correct.
We are given that the price of chicken breast rises from $3.30 to $3.63 per pound, which is a 20% increase:
Price elasticity = percent change in quantity/percent change in price
percent change in price = (3.63 - 3.30) / 3.30
percent change in price = 0.09 = 9%
We are also given that the demand for chicken breast falls by 40%, which is a 40% decrease:
percent change in quantity demanded = -40%
Using these values in the formula, we get:
Price elasticity of demand = (-40%) / (9%)
Price elasticity of demand = -9 %
Since we are interested in the absolute value of the price elasticity of demand, we have:
|Price elasticity of demand| = |-4.25| = 4.25
A price elasticity of demand greater than 1 is considered elastic, and a price elasticity of demand less than 1 is considered inelastic.
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If f(x)=(1)/(3)x-5,g(x)=-4x^(2)-5x+9, and h(x)=(1)/(x-8)+3, find g(-2). Type your exact answer, simplified if necessary, in the empty text box.
Answers
To find g(-2), we'll substitute -2 for x in the equation g(x) = -4x² - 5x + 9. So,g(-2) = -4(-2)² - 5(-2) + 9g(-2). The value of g(-2) is -6.
To find g(-2), substitute -2 for x in the equation
g(x) = -4x² - 5x + 9 to get
g(-2) = -6 + 9g(-2)
We are given three functions as follows:
f(x) = (1/3)x - 5, g(x)
= -4x² - 5x + 9, and
h(x) = 1/(x - 8) + 3.
We are asked to find g(-2), which is the value of g(x) when x = -2.
Substituting -2 for x in the equation g(x) = -4x² - 5x + 9, we get
g(-2) = -4(-2)² - 5(-2) + 9.
This simplifies to g(-2) = -16 + 10 + 9 = -6.
Hence, g(-2) = -6.
The value of g(-2) is -6.
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Craig is considering four loans. loan l has a nominal rate of 8.254%, compounded daily. loan m has a nominal rate of 8.474%, compounded weekly. loan n has a nominal rate of 8.533%, compounded monthly. loan o has a nominal rate of 8.604%, compounded yearly. which of these loans will offer craig the best effective interest rate? a. loan l b. loan m c. loan n d. loan o please select the best answer from the choices provided a b c d
Answers
The effective interest rate of the loan would be
In this case, we are given 4 options:
Loan L has a nominal rate of 8.254% compounded dailyLoan M has a nominal rate of 8.474% compounded weeklyLoan N has a nominal rate of 8.533% compounded monthlyLoan O has a nominal rate of 8.604% compounded yearlyThe formula of compounded interest rate is:
\(A = P (1+\frac{r}{n})^{nt}\)
Where:
A = amount, P = principal amount, r = interest rate, n = number of times interest rate compounded, t = time
Let’s assume the principal amount is $100 for 1 year
Loan L =
\(A = 100 (1+\frac{0.08254}{356})^{356x1}\)
A = $108.603
Loan M =
\(A = 100 (1+\frac{0.08474}{52})^{52x1}\)
A = $108.834
Loan N =
\(A = 100 (1+\frac{0.08533}{12})^{12x1}\)
A = $108.875
Loan O =
\(A = 100 (1+\frac{0.08604}{1})^{1x1}\)
A = $108.604
Therefore, the best effective interest rate for Craig is Loan L with nominal rate of 8.254% compounded daily.
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using the exponential smoothing model for forecasting, the smoothing constant alpha determines the level of smoothing and what?
Answers
Answer:
Step-by-step explanation: The speed of reaction to differences between forecasts and actual results. is the answer i think
A diver was studying sharks at a depth of 30feet below sea level. The diver swam upward 12 feet. After swimming upwards 12 feet. How far below sea level is diver descended 25 feet. How far below sea level is the dive. Express in negative integer
Answers
The diver starts at a depth of 30 feet below sea level and then swims upward 12 feet. This means the diver has ascended by 12 feet from the initial depth. However, the question states that the diver then descends 25 feet below sea level. To determine the final depth, we need to consider both the ascent and descent.
Since the diver ascended 12 feet, we can subtract this value from the initial depth of 30 feet below sea level. This gives us 30 - 12 = 18 feet below sea level.
Next, we take into account the descent of 25 feet. Since the question specifies "below sea level," we express the descent as a negative value. Therefore, the final depth is 18 - 25 = -7 feet below sea level.
In conclusion, the diver is 7 feet below sea level after the ascent of 12 feet and descent of 25 feet.
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Waiting times at a service counter in a pharmacy are exponentially distributed with a mean of 10 minutes. If 100 customers come to the service counter in a day, approximate the probability that at least half of them must wait for more than 10 minutes.
Answers
Therefore, the probability that at least half of them must wait for more than 10 minutes is approximately \(1.137 x 10^-13.\)
Additionally, using relevant terms from the question in the answer is helpful.
Explanation:Given that waiting times at a service counter in a pharmacy are exponentially distributed with a mean of 10 minutes, we are to approximate the probability that at least half of the 100 customers must wait for more than 10 minutes.P(X > 10) is the probability of a customer waiting for more than 10 minutes.\(P(X > 10) = 1 - P(X < 10)P(X < 10) = 1 - P(X > 10) = 1 - e^(-10/10) = 1 - e^-1 = 0.632\)
Therefore, \(P(X > 10) = 1 - 0.632 = 0.368\)Thus, P(at least 50 customers wait for more than 10 minutes) =
\(P(X > 10)50 = 0.368^50 = 1.137 x 10^-13.\)
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Select all of the phrases that could be
represented by the algebraic expression
3n - 3
This doesn’t make sense
Answers
The phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.
Let's translate each of the given phrases to algebraic expressions in order to determine which of them can be represented as 3n - 3.
Option 1:
3 fewer than n is represented as, n - 3
Option 2:
difference between n and 3 is represented as, n - 3.
Option 3:
3 times n is 3n
3 fewer than 3n is represented as 3n - 3.
Option 4:
product of 3 and n is represented as 3n.
Option 5:
3 less than 3n is represented as 3n - 3.
Therefore, the phrases that can be represented as the algebraic expression, 3n - 3 are: Option 3 and Option 5.
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