a)There are [tex]2^m^n[/tex] possible relation
b)Similarly [tex]n^m[/tex]
c)[tex]\frac{n^m}{2^m^n}[/tex]
a)Set A has m elements and set B has n elements
Firstly determine the number of elements A*B by using the multiplication rule
Number of elements[tex]=A*B=m*n=mn[/tex]
For each element, [tex]A*B[/tex] we have two option
First element 2 ways
Second element 2 ways
mn element 2 ways
By using the multiplication rule
[tex]2*2*2......=2^m^n }[/tex]
Then there are [tex]2^m^n[/tex] possible relation
b)Similarly [tex]n^m[/tex]
c)[tex]\frac{n^m}{2^m^n}[/tex]
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In triangle def, if m∠d = (2x)°, m∠e = (2x − 4)°, and m∠f = (x 9)°, what is the value of x? 35 37 44 71
Option A is correct, the required simplified value of the x is given as 35.
In triangle DEF, if m∠D = (2x)°, m∠E = (2x − 4)°, and m∠F = (x + 9)°.
for the triangle sum of the interior angles is equal to 180°.
∠D + ∠E + ∠F = 180
2x + 2x - 4 + x + 9 = 180
5x + 5 = 180
5x = 175
x = 35
Thus, the required simplified value of the x is given as 35.
The sum of the measures of the interior angles of a triangle in Euclidean space is continually 180 stages. This reality is equal to Euclid's parallel postulate. This permits the determination of the degree of the 1/3 perspective of any triangle, given the measure of angles. An exterior perspective of a triangle is an attitude that is a linear pair (and subsequently supplementary) to an indoor angle.
The degree of an exterior perspective of a triangle is the same as the sum of the measures of the 2 indoor angles that aren't adjoining to it; this is the outside perspective theorem. The sum of the measures of the 3 exterior angles (one for every vertex) of any triangle is 360 degrees.
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Teen cigarette use is down the us centers for disease control conducts the national youth tobacco survey each year. The preliminary results3 of 2019 show that e-cigarette use is up among us teens while cigarette use is down. We examined e-cigarette use in exercise 3. 137 and here we estimate cigarette use. In the sample of 1582 teens, 92 reported smoking a cigarette in the last 30 days. Give notation and define the parameter we are estimating. Give notation and value of the sample statistic. Find the standard error for this estimate. What is z* for a 99% confidence interval? what is the 99% confidence interval? what is the best estimate for the parameter we are estimating? what is the margin of error?
Answer of the following questions as per the given sample and confidence interval are:
The sample statistic value for the give samples is 0.058.The standard error for the given estimate is equal to 0.0068.The z score for 99% confidence interval is 2.576.The best estimate is the sample mean.Margin of error is equal to 0.0176.As given in the question,
Number of teens smoking cigarette = 92
Sample size 'n' = 1582
Sample statistic = 92 / 1582
= 0.058
Standard error = √ p ( 1 - p ) / n
= √ 0.058 ( 1 - 0.058 ) / 1582
= √0.0000345
= 0.0058
= 0.006
z-score for 99% confidence interval = 2.576
margin of error = z ×√ p ( 1 - p )/n
= 2.576 √ 0.058 ( 1 - 0.058 ) / 1582
= 2.576 × 0.006
= 0.0155
= ±0.016
lower bound = 2.576 - 0.016
= 2.56
Upper bound = 2.576 + 0.016
= 2.592
Therefore, for the given samples and confidence interval answer of the following questions are:
The sample statistic value for the give samples is 0.058.The standard error for the given estimate is equal to 0.0068.The z score for 99% confidence interval is 2.576.The best estimate is the sample mean.Margin of error is equal to 0.0176.Learn more about confidence interval here
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an anova procedure is used for data that was obtained from five sample groups each comprised of six observations. the degrees of freedom for the critical value of f are
The degrees of freedom for the critical value F are (k-1,n-k).
Assume there are 4 sample groups, i.e.
k=4.
Also suppose that each of the four groups contains five observations.
So,
n=4*5
n=20
critical value F has degrees of freedom
(k-1,n-k)
( 4-1:20-4)
(3: 16).
Therefore , the degrees of freedom for the critical value of F is (3.16).
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One weekend, there were 77 pizzas ordered for the sophomore dorm. That weekend 12 customers ordered their pizza with just pepperoni, 19 customers ordered their pizza with just sausage, 20 ordered theirs with just onions, 13 ordered theirs with pepperoni and sausage, 12 ordered theirs with sausage and onions, 11 ordered theirs with pepperoni and onions, and 7 ordered theirs with all three items. How many customers ordered their pizza with pepperoni or sausage (or both)?
41 customers ordered their pizza with pepperoni or sausage (or both).
What is customer?
Customer is an individual or organization who buys goods or services from another. Customers are essential to businesses, as they are the ones that provide the revenue needed to keep the business running. Customers are the lifeblood of any business and are the ones who determine its success or failure. Customers can be internal, such as employees, or external, such as retailers or other businesses. Companies must strive to understand their customer’s needs, wants and preferences in order to keep them satisfied and coming back for more. Companies must also be aware of customer trends, preferences and behaviour to stay competitive. Companies can use customer feedback to improve their products and services, as well as their customer service. Finally, companies must ensure that their customers receive good value for their money, as well as excellent customer service.
This is calculated by adding the number of customers who ordered their pizza with just pepperoni (12) and the number of customers who ordered their pizza with just sausage (19) and the number of customers who ordered their pizza with pepperoni and sausage (13).
12 + 19 + 13 = 41.
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I also need this quickly :(
Answer:
Scale factor = 1/2
Step-by-step explanation:
Explanation:
A scale factor is a number you multiply the dimensions of a shape by to get the image. Because figure B has half the length and width, we can conclude the scale factor is 1/2.
Draw a line of fit using (5,35) and (10,30)
The equation of a line in two-dimensional space is typically given in the form y is mx + b.
What is equation of a line ?The equation of line in two-dimensional space is typically given in the form y = mx + b, where m is the slope of the line and b is the y-intercept, the point where the line crosses the y-axis. For example, the equation y = 3x + 2 describes a line with slope 3 and y-intercept (0, 2).Alternatively, the equation of a line can also be given in the slope-intercept form, which is the same as the standard form except that the slope and y-intercept are written explicitly. For example, the equation of the line y = 3x + 2 can also be written as slope = 3, y-intercept = 2.The equation of a line can also be given in the point-slope form, which is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. For example, the equation of a line with slope 2 passing through the point (3, 4) would be y - 4 = 2(x - 3).There is also the general form of the equation of a line, which is given by the equation Ax + By + C = 0, where A and B are the coefficients of the x and y terms and C is the constant term. For example, the equation 2x - 3y + 4 = 0 is in the general form.To learn more about equation of line refer :
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question 91 pts nine percent of americans have rh-negative o blood type. in a random sample of 200 americans, what is the probability that the sample proportion with rh-negative o blood types will be less than 12% (round off to second decimal place)?
The probability that the sample proportion with rh-negative o blood types will be less than 12% is 0.93.
Given:
91 pts nine percent of Americans have rh-negative o blood type.
In a random sample of 200 Americans, what is the probability that the sample proportion with rh-negative o blood types will be less than 12% = ?
Using central limit theorem,
P(p cap < p) = P(Z<p cap-p/√p(1-p)/n)
so,
P(p cap < 0.12) = P(Z<0.12-0.09/√(0.09×0.91/200)
= P(Z<1.4825)
= 0.9309 (from Z table)
= 0.93 (Rounded to second decimal place)
Hence we get the required answer.
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you and a friend are riding your bikes to a restaurant that you think is east; your friend thinks the restaurant is north. you both leave from the same point, with you riding 16 mph east and your friend riding 8 mph north. after you have travelled 3 mi, at what rate is the distance between you and your friend changing?
The distance between you and your friend changing is 20 MPH for the bike riding.
Let x be the distance you've got got traveled, y be the space your buddies has traveled, and z be the space among you and your pal. From the hassle it's far obvious that dxdt is 16 mph and dydt is 12 mph.
Recall the system for the time given distance and velocityt=d v and the system for the space given time and velocityd=vt The time elapsed if you have traveled 4 miles ist=416=14 hrNow, the space your pal has traveled isd=(12)(14)=3 mi.Hence, x=4 and y=3.An equation bearing on all of the variables is z2=x2+y21)that's primarily based totally at the Pythagorean Theorem.Computing for z given x=4 and y=3z2=32+42z=√32+42=5Differentiating (1) with appreciate to time tz2=x2+y22zdzdt=2xdxdt+2ydydtzdzdt=xdxdt+ydydtNote that the hassle is requesting the charge of extrade of the space among you and your pal, that's dzdt. Rewriting the equation abovezdzdt=xdxdt+ydydtdzdt=xdxdt+ydydtz2)Plugging in x=4, y=3, and z=5, and dxdt=16 and dydt=12 to (2)dzdt=xdxdt+ydydtz=(4)(16)+(3)(12)5=20Thus, the space among you and your pal when you travel 4 miles is converting at a charge of 20 mph.Read more about distance;
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what are two requirements that must be satisfied to perform a chi-square test (such as the test of homogeneity, the goodness-of-fit test, and the test of independence of proportions)?
The two requirements that must be satisfied to perform a chi-square test are All Ei>=1 and no more than 20% of the Ei are less than 5.
What is chi-square?
In order to establish if the expected and actual findings are well-fitting, the statistical test known as chi-square compares the differences between categorical variables from a random sample.
For the given equation,
To perform a chi-square test,
All Ei>=1 and no more than 20% of the Ei are less than 5
Hence, these two are the important requirements to carry out the chi-square goodness of fit test.
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15/5+1/2x(-4/7) solve
Answer:
(21-2x)/12
Step-by-step explanation:
15/5+1/2x(-4/7)=
15/5+x/2(-4/7)=
3+(-4/7)x/2=
3-(4/7)x/2=
3-(4x/(7*2))=
3-(4x/14)=
(3-4x/14)*14/14=
42/12 - 4x/14 =
(42-4x)/14=(21-2x)/12
Solve for t:
-18 = -3t−18=−3t
The value of t in -18 = -3t is 6.
What is the equation?A formula known as an equation uses the equals sign to denote the equality of two expressions. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
Given:
-18 = -3t
Solve the above equation as shown below,
Multiply both sides by -1
-18 × (-1) = -3t × (-1)
18 = 3t
Divide both sides by 3 we get,
18 / 3 = 3t / 3
t = 6
Therefore, the value of t in -18 = -3t is 6.
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how do you solve x=-54
(2) a test for extrasensory powers (esp) involves asking a person to tell which of 5 shapes (a circle, star, triangle, diamond, or heart) appears on a hidden computer screen. on each trial, the computer is equally likely to select any of the 5 shapes. suppose researchers are testing a person who does not have esp and so is just guessing on each trial. what is the probability that the person guesses the first 4 first shapes incorrectly but gets the fifth correct?
The probability that the person guesses the first 4 first shapes incorrectly but gets the fifth correct is an [tex](\frac{4}{5})^{4}\frac{1}{5}[/tex].
what is probability?The likelihood that something will happen is called the probability. the total number of conceivable outcomes. Because there is only one way to receive a head and there are a total of two possible outcomes, the probability of flipping a coin and getting heads is 1 in 2. (a head or tail).
given,
You can find out if someone has extrasensory perception (ESP) by asking them to identify which of the following shapes—a circle, star, triangle, diamond, or heart—appear on a hidden computer screen.
The probability is determined by dividing the number of favorable outcomes by the total number of possible outcomes.
p= P(win) = # of favorable outcomes / # of possible outcomes
The distribution is geometric since the variable indicates how many trials must pass before a success.
The distribution is geometric since the variable indicates how many trials must pass before a success.
P( X = k ) = [tex]q^{k-1}p[/tex]
= [tex](1-p)^{k-1} p[/tex]
Review at k=5
P(X=5) = [tex](1-\frac{1}{5})^{5-1}\frac{1}{5}[/tex]
=[tex](\frac{4}{5})^{4}\frac{1}{5}[/tex]
probability that the person guesses the first 4 first shapes incorrectly but gets the fifth correct is an [tex](\frac{4}{5})^{4}\frac{1}{5}[/tex]
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Is the sum of two whole numbers is always less than their product?
No. The sum of 2 whole numbers is not always less than their product.
A whole number is any positive integer running from 0 to infinity.
When we take up any 2 whole numbers and consider 0 or 1 as one of them, the sum of the 2 whole numbers is ging to be more than the product.
When we consider 1 number to be 0, the sum of the numbers will be the number itself. The product will be 0. Hence the sum is greater than the product.
Example- 0 and 25.
0 + 25
= 25
0 X 25
= 0
0 < 25
If we consider one number to be 1. The product of any number and 1 will be the number itself. Adding 1 to any number will in turn increase it. Hence, the sum is greater than the product.
Example- 1 and 78
1 + 78 = 79
1 X 78 = 78
Hence the sum of two whole numbers is not always less than the product.
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Find the midpoint of the line segment with the given endpoint. (9,-7),(-9,5)
PLEASE HELPPP
Answer:
[tex](0,-1)[/tex]
Step-by-step explanation:
[tex]\left(\frac{-9+9}{2}, \frac{5-7}{2} \right)=(0, -1)[/tex]
Which values are solutions to K-3 >-2? Select two options.
4
Ok=-10
Ok=-7
Ok=-5
Ok=-1
Ok = 0
D
Answer:
The values that are solutions to K-3 >-2 are -7 and -5. To solve this inequality, we need to isolate the K term on one side of the inequality. We can do this by subtracting 3 from both sides of the inequality, like this:
K - 3 > -2
K - 3 - 3 > -2 - 3
K > -5
Therefore, the solutions to the inequality K-3 >-2 are all values of K that are greater than -5. This means that the values -7 and -5 are solutions to the inequality, but the other values listed are not.
Step-by-step explanation:
A bicycle store costs $2700 per month to operate. The store pays and average of $60 per bike. The average selling price of each bicycle is $90. How many bicycles must the store sell each month to break even?
How do you find the range of a graph without graphing?
The method to find the range of the graph without graphing is explained below .
In the question ,
we have to explain how can we find the range of the graph without graphing .
we know that the Range of the function is the set of all its outputs.
let us understand it with the help of example .
So ,let y = 2-√(-3x+2) ,
we know that the result of the root function is always non negative ,
So , √(-3x+2) ≥ 0,
Multiply with -1 on both the sides ,
we get ,
-√(-3x+2) ≤ 0
Adding 2 to both sides
2 - √(-3x+2) ≤ 2
y ≤ 2
So ,the range will be (-∞ , 2] .
Therefore , the process to find the range is explained above .
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A line that includes the point (0, -1) has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = x - 1
Step-by-step explanation:
A line that includes the point (0, -1) has a slope of 1. What is its equation in
slope-intercept form?
slope-intercept form : y = mx + b where m is slope and b is the y-intercept.
you are give:
slope = 1
y-intercept = -1
y = mx + b
y = 1x + (-1)
y = x - 1
How do you find the domain and range of a quadratic graph?
To find the domain, we look around the x-axis from left to right because domain is about inputs and the range is partly determined by the pivotal point, or vertex.
In the given question we have to explain, how we can find the domain and range of a quadratic graph.
We are only interested in the horizontal aspect of the graph because domain is about inputs. The x-axis from left to right in search of areas where the graph doesn't exist in order to view the domain.
The range is partly determined by the pivotal point, or vertex. The parabola's opening direction is the other. The range is all real integers bigger than or equal to the range's y-coordinate if a quadratic function opens up. All real integers less than or equal to the range's y-coordinate are in the range if a quadratic function opens downward.
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the sum of two numbers is 15. one number is 4 times the other. letimage andimage represent the two numbers. which system of equations correctly represents this problem?
The two numbers are 3 and 12 when 15 is the result of sum two numbers. One to two are compared in a 4:1 ratio.
Given that,
15 is the result of adding two numbers. One to two are compared in a 4:1 ratio.
We have to find which two numbers are they.
We know that,
Let take x and y to denote the two numbers
We get
x + y = 15 ----->equation(1)
x = 4y ----->equation(2)
Substitute the 4y in equation(1)
(4y) + y = 15
5y = 15
Divide both sides by 5
y = 3.
Substitute y=3 in equation(2)
x=4(3)
x = 12
Therefore, The two numbers are 3 and 12 when 15 is the result of adding two numbers. One to two are compared in a 4:1 ratio.
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Owen decides to buy a 2-pack of almond butter. He notices that each jar in the pack has 84 servings, and each serving has 20 milligrams of sodium. He estimates that the 2-pack has a total of about 320 milligrams of sodium. Does that sound about right?
Pls tell me which option to pick
*Yes
*No its too much
*No it's to less
The estimation done by Owen is wrong because he estimated the amount of sodium very low.
What is estimation?Estimation is a process or way to roughly calculate the answer or solution of a given problem or question, estimation gives an approximate solution for a question.
Given that, Owen decides to buy a 2-pack of almond butter. He notices that each jar in the pack has 84 servings, and each serving has 20 milligrams of sodium.
Since, there are 20 mg of sodium in 1 serving,
Therefore, in 84 serving = 84x20 = 1680 mg of sodium.
And, there are 2 packs, therefore total amount of sodium in 2 packs = 1680x2 = 3360 mg
We calculated the amount of sodium to be 3360 mg, which is larger than the estimation of Owen.
Hence, Owen's estimation for amount of sodium is wrong.
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I need the 500th term of the 7 count sequence 24,31,38,45,52
The 500th term of the 7 count sequence 24,31,38,45,52 is 3517.
How to calculate the sequence?It should be noted that this is an arithmetic sequence. The formula is represented as:
a + (n - 1) d
where
a = first term
n = number of terms
d = common difference
Since the numbers are 24,31,38,45,52, the common difference is (3 - 25) = 7
The 500th term will be:
a + (n - 1) d
24 + (500 - 1) × 7
= 24 + (499 × 7)
= 24 + 3493
= 3517
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In the figure below, JK¯¯¯¯¯ is parallel to LM¯¯¯¯¯¯ . Suppose that JKLM will be reflected in the y-axis, then translated 3 units down to produce J'K'L'M'. Which statement is true? Responses J'K'¯¯¯¯¯¯¯ will be parallel to L'M'¯¯¯¯¯¯¯¯ . J ' K ' ¯ will be parallel to L ' M ' ¯ . J'K'¯¯¯¯¯¯¯ will be perpendicular to JK¯¯¯¯¯ . J ' K ' ¯ will be perpendicular to J K ¯ . J'K'¯¯¯¯¯¯¯ will be perpendicular to L'M'¯¯¯¯¯¯¯¯ . J ' K ' ¯ will be perpendicular to L ' M ' ¯ . J'K'¯¯¯¯¯¯¯ will be parallel to JK¯¯¯¯¯ .
The resultant of the reflection will be JK parallel to J'K'
What is transformation ?
resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ. A dilatation ought to either extend or contract the original form. The scale factor is a phrase used to describe this transition.
The scale factor is defined as the difference in size between the new and old images. An established location in the plane is the center of dilatation. The dilation transformation is determined by the scale factor and the center of dilation.
Given JK parallel to LM
and it is reflected back by the y-axis.
So the resultant will be JK p[arallel to J'K'
Hence, The resultant of the reflection will be JK parallel to J'K'
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What are the 4 types of slopes of a line?
The four types of the slope of a line are positive, negative, zero, and undefined also known as infinite slope.
A line that is growing when seen from left to right has a positive slope.
A line that is declining when seen from left to right has a negative slope.
When seen from left to right or the other way around, a line with a zero slope is neither increasing nor decreasing. The slope of a horizontal line is zero, to put it simply.
The line is neither moving left nor right, as in the case of a vertical line, if the slope is undefined or infinite. A vertical line's slope might be either + ∞ or - ∞.
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suppose that x is uniformly distributed on the interval from 0 to 1. consider a random sample of size 4 from x. what is the joint probability density function of the sample?
The joint probability density function of the sample is 1
What is probability?
Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.
The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.
Every Xi has distribution as shown below:
f(xi) = 1, 0<xi<1
When all Xis are independent, then the following is true.
f(x1,x2,x3,x4) = f(x1) f(x2) f(x3) f(x4)
= 1, for all xi between 0 and 1
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What is the value and value of 6?
The value is nothing but the worth of each digit depending on where it lies in the number and the value of 6 is 6
We know that the value in mathematics is nothing but the worth of each digit depending on where it lies in the number.
We calculate the value of number by multiplying the place value and face value of the digit.
Value = Place Value × Face Value
Place value is the value of the column in which the number is. Each column in a number holds a different place value.
For exa., consider a number 574. Here, the place value of the digit 7 is tens and the place value of 5 is hundreds.
The face value of any digit is the same digit.
For above number 574, the face value of 7 is 7, face value of 5 is 5.
Now, we need to find the value of 6.
The place value for 6 is 1 (units place) and the face value = 6
so, the value of 6 = 1 * 6
= 6
Therefore, the value of 6 is 6
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An art teacher has 2,532 crayons. He plans to give 12 crayons to each student who takes his class. How many students take his art class?
Answer:
The art class is attended by 211 students, each one with 12 crayons.
Step-by-step explanation:
Total crayons = 2532
If the teacher gives 12 crayons, then:
Total students = 2532/12 = 211
g an inverted conical tank has a height of 18 feet and a diameter of 6 feet. water is flowing into the cone at a rate of 24 cubic feet per second. at what rate is the height of the water in the tank increasing when there is 10 feet of water in the tank.
The rate at which the height of the tank is increasing when there is 10 feet of water in the tank is 2.75 ft/sec .
In the question ,
it is given that ,
the height of the conical tank is =18 feet ,
the radius of the tank is = 6/2 = 3 feet .
the rate at which the water is flowing is = 24 cubic feet per second .
that is dv/dt = 24 .
the ratio of height and radius is
h/r = 18/3
h/r = 6
r = h/6
we know that the Volume of Conical tank is = (πr²h)/3
On substituting r = h/6 and differentiating with respect to time "t" ,
we get ,
dv/dt = (π/108)×3×h²×dh/dt
substituting the value of h = 10 and dv/dt = 24 ,
we get ,
24 = (π/108)×3×10²×dh/dt
dh/dt = (24 * 36)/100π
= 2.7501
≈ 2.75 ft/sec .
Therefore , the rate of change of the height of the tank is 2.75 ft/sec .
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Suppose IQ scores were obtained for randomly selected sets of . The pairs of measurements yield , , r , P-value 0.000, and , where x represents the IQ score of the . Find the best predicted value of given that the has an IQ of ?
Use a significance level of 0.05. 20 siblings 20 x=99.42 y=97.2 =0.867 = = −21.33+1.19x y older child y older child 97 Click the icon to view the critical values of the Pearson correlation coefficient r.1 The best predicted value of is . y (Round to two decimal places as needed.) Critical Values of the Pearson Correlation Coefficient r n 0.05 α = 0.01 α = NOTE: To test H0 : 0 against H1: 0, reject H0 if the absolute value of r is greater than the critical value in the table. rho= rho≠4 0.950 0.990 5 0.878 0.959 6 0.811 0.917
The best predicted value given that a person has an IQ of 91 is 94.03.
Here, we are given that-
sample size n = 20
sample mean for the independent value x = 100.39
sample mean for the dependent value y = 103.6
coefficient of correlation r = 0.925
The general expression for representing a linear model is given by-
y = β₀ + β₁x
where β₀ is the intercept and β₁ is the slope
For the above given case, the linear model will be given as-
y = -3.34 + 1.07x
where -3.34 is the intercept and 1.07 the slope.
To find the best predicted value when X = 91, we substitute the value of x as 91 in the equation as follows-
y = -3.34 + 1.07(91)
y = 94.03
Thus, the best predicted value given that a person has an IQ of 91 is 94.03.
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