The inequality that represents the heights of every other person who ever lived is, 9 ≥ x
We have to find the inequality that represents the heights of every other person who ever lived, where the tallest person who ever lived was approximately 9 feet tall, according to the question.
Here x denotes the height of every person who ever lived,
So, the inequality is, 9 ≥ x
Every person ever lived, must be equal to or lesser than 9 feet.
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if rooms revenue is $75,884 and the total number of rooms sold is 662, then the average daily rate is: group of answer choices $114.63 $125.00 $118.75 $136.50
The average daily rate is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the average daily rate is (option) $114.63.
The average daily rate is a measure of the average amount of money that a hotel is able to generate per room per day. It is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the total rooms' revenue was $75,884 and the total number of rooms sold was 662, which gives us an average daily rate of $114.63. This is a useful measure for hotels to gauge the performance of their business and to set pricing accordingly. It also helps hotels identify opportunities for increasing revenue, such as offering discounts or promotions to attract more customers.
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the margin of error of a confidence interval is the error from biased sampling methods. t or f
False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.
What are statistics and their various forms?Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.
What are the two primary statistical methods?Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.
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Arianna wants to start her beautician career in a reputable salon. She must pay $350 per month to rent her station space, $85 per month for the shared salon products and $182 start-up styling kit. Arianna has $623 in her savings account. How much will be left in her savings account after she pays for the above expenses?
Responses
$6
$6
$617
$617
$706
$706
$1240
Answer:
$6
Step-by-step explanation:
8) Let R be a relation that is reflexive and transitive. Prove that R2 = R for any R with these two properties. 9) Suppose that the relation R is anti-reflexive. Is R2 necessarily anti-reflexive? Give a reason for your answer.
Even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.
Let R be a relation that is reflexive and transitive. We want to prove that R2 = R for any relation R with these two properties.
To prove this, we need to show that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R.
First, let's consider (a, b) ∈ R2. By definition, (a, b) ∈ R2 means that there exists an element c such that (a, c) ∈ R and (c, b) ∈ R.
Since R is reflexive, we know that (a, a) ∈ R and (b, b) ∈ R.
By the transitivity of R, if (a, c) ∈ R and (c, b) ∈ R, then (a, b) ∈ R.
Therefore, (a, b) ∈ R2 implies (a, b) ∈ R.
Now, let's consider (a, b) ∈ R. Since R is reflexive, we have (a, a) ∈ R and (b, b) ∈ R.
By the definition of R2, (a, a) ∈ R2 and (b, b) ∈ R2.
Since R is transitive, if (a, a) ∈ R2 and (a, b) ∈ R2, then (a, b) ∈ R2.
Therefore, (a, b) ∈ R implies (a, b) ∈ R2.
We have shown that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R. Hence, R2 = R.
If the relation R is anti-reflexive, it is not necessarily true that R2 is anti-reflexive.
To understand why, let's consider an example. Let R be a relation defined on the set of integers such that R contains the ordered pairs (a, b) where a < b.
In this case, R is anti-reflexive because for any integer a, (a, a) is not in R.
Now, let's consider R2. R2 is the composition of R with itself. If (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R2.
In our example, if we take a = 1, b = 2, and c = 3, we have (1, 2) ∈ R and (2, 3) ∈ R. Therefore, (1, 3) ∈ R2.
However, (1, 1) is not in R2 because (1, 1) is not in R. Therefore, R2 is not anti-reflexive in this case.
This example demonstrates that even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.
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what is true about relations? A. The relation is a linear function. B. The y value increases as x decreased. C. The x increases as y decreases. D.The relation is not a function
Answer:
The answer is A
Step-by-step explanation:
Mario simplified the expression (4 z Superscript 8 Baseline) Superscript negative 3 as shown. (4 z Superscript 8 Baseline) Superscript negative 3 = 4 z Superscript 8 times (negative 3) Baseline = 4 z Superscript negative 24 Baseline = StartFraction 4 Over z Superscript 24 Baseline EndFraction Which statement explains Mario's error?
Answer:
Step-by-step explanation:
Given the expression \((4z^8)^{-3}\), to evaluate this, we will use one of the law of indices as shown;
\((a^m)^n = a^{mn}\)
\(4^{-3} * z^{8*-3}\)
\(= \frac{1}{4^3} * z^{-24}\\ \\= \frac{1}{64} * \frac{1}{z^{24}}\\ \\= \frac{1}{64z^{24}}\)
Mario's error was that she did not raise the value of 4 to the power of -3. She only raised z^8 to the power of -3 when it is supposed to affect both 4 and z^8
Answer:
The last one
Step-by-step explanation:
2. Find the slope of the line graphed below!
Remember
Rise
Run
10
Answer:
-1/3
Step-by-step explanation:
Which statement is true
Answer:
C
Step-by-step explanation:
in order of containment it goes
Quadrilaterals
Parallelograms and trapezoids
kites rhombuses and rectangles
squares
Answer:
Hey there!
All parallelograms are four sided shapes, also called quadrilaterals.
Hope this helps :)
You perform 5200 significance tests using a significance level of 3% Assuming that the null hypothesis is true, how many of the test results would you expect to be statistically significant
If the null hypothesis is true, we would expect approximately 156 of the 5200 test results to be statistically significant by chance alone.
If the null hypothesis is true, and we perform 5200 significance tests at a significance level of 3%, we can expect that 3% of these tests would result in statistically significant results by chance alone.
To calculate the expected number of statistically significant results, we can multiply the total number of tests (5200) by the significance level (3%).
Expected number of statistically significant results = 5200 * 0.03
Calculating this, we have:
Expected number of statistically significant results = 156
Therefore, if the null hypothesis is true, we would expect approximately 156 of the 5200 test results to be statistically significant by chance alone.
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Find the volume of a pyramid with a square base , where the area of the base is 7.5 cm ^ 2 and the height of the pyramid is 8.6 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer: 21.5cm³
Step-by-step explanation: This is your answer there is no way it is incorrect
how many triangles can be formed by connecting three points out of nine on the circumference of a circle
The number of triangles can be formed 84
Triangle:A triangle is a polygon with three sides which consists of three vertices. A triangle can be formed from three given points only if the three points do not lie on a straight line and also form 180 degree angle.
Since the 3 points are distinct and lie on a circle, then it is not possible to have three points such that all three lie on a line.
Hence, we can use these 3 points to form triangles by selecting 3 points. The number of such ways is the number of different triangles we can form. Hence,
Triangles = \(C^9_3\)
Triangles = \(\frac{9!}{3!(6!)}\)
Triangles = 84
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So can anyone do this?
Answer:
y=-10x+0
Step-by-step explanation:
To mix his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.
Twenty-two people are running in tomorrow's
Road race and Jerome thinks they will each want two cups of energy drink.
B) how much water and how much drink mix should Jerome use to make enough energy drink for all the runners?
Answer: He needs 32 cups of water and 12 cups of drink mix.
Step-by-step explanation: 8 cups + 3 cups = 11 cups
So we know that 8 cups of water + 3 cups of drink mix = 11 cups of 'special energy drink'. Now, Jerome assumes that each person wants 2 cups so we perform the following equation: 22 people x 2 cups = 44 cups. We know that 8 cups of water and 3 cups of drink mix is equal to 11 cups so we just divide: 44 cups/11 cups = 4. Now we need to multiply 8 and 3 by 4 because he needs 4 x 11 cups, that is why we need to multiply
each of the numbers that make up 11 by 4. 8 cups x 4 = 32 cups,
3 cups x 4 = 12 cups
Answer: He needs 32 cups of water and 12 cups of drink mix.
Step-by-step explanation:
in a multiple regression analysis there are ten independent variables based on a sample size of 125. what will be the value of the denominator in the calculation of the multiple standard error of the estimate?
The value of the denominator in the calculation of the multiple standard error of the estimate would be 114.
In multiple regression analysis, the denominator in the calculation of the multiple standard error of the estimate is determined by the sample size and the number of independent variables (also known as predictors).
The formula to calculate the multiple standard error of the estimate (also known as the standard error of the regression or residual standard error) is:
Standard Error of the Estimate = sqrt(Sum of squared residuals / (n - k - 1))
Where:
Sum of squared residuals is the sum of the squared differences between the observed values and the predicted values from the regression model.
n is the sample size.
k is the number of independent variables (predictors).
In this case, if there are ten independent variables and a sample size of 125, the value of the denominator in the calculation of the multiple standard error of the estimate will be:
Denominator = n - k - 1
= 125 - 10 - 1
= 114
Therefore, the value of the denominator in the calculation of the multiple standard error of the estimate would be 114.
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A tree struck by lightning broke at a point 12 feet above the ground. What was the height of the tree to the nearest tenth of a foot., 12 squared + 39 squared = ??
Answer:
52.8 feets
Step-by-step explanation:
From the diagram :
The height of tree woulb be :
Height above the ground (at breakpoint) + hypotenus
Hypotenus, h cab be obtained using Pythagoras rule :
h² = opp² + adj²
h² = 39² + 12²
h² = 1665
h = sqrt(1665)
h = 40.804 feets
Height of tree to the nearest tenth ;
40.804 feets + 12 feets
= 52.804 feets
= 52.8 feets
Having the mean delivery time (10:28am) and the standard deviation (0:55 mins), you now estimate the times within which 95% of the deliveries are made. the interval is: between 8:12 am and 12:43 pm between 8:38 am and 12:18 pm between 9:45 am and 10:15 am between 10:17 am and 12:32 pm
Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.
To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.
The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.
Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.
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A local hamburger hop old a combined total of 491 hamburger and cheeeburger on Friday. There were 59 fewer cheeeburger old than hamburger. How many hamburger were old on Friday?
The hamburger shop sold a total of 491 hamburgers and cheeseburgers on Friday. There were 59 fewer cheeseburgers sold than hamburgers, so the number of hamburgers sold on that day was 275.
432 hamburgers.
We can write an equation to represent the information given.
Hamburgers + Cheeseburgers = 491
Cheeseburgers = Hamburgers - 59
Substitute the second equation into the first equation:
Hamburgers + (Hamburgers - 59) = 491
Solve for 'Hamburgers':
2Hamburgers - 59 = 491
2Hamburgers = 550
Hamburgers = 275
Since the question asks for the number of hamburgers, the answer is 275 hamburgers.
The hamburger shop sold a total of 491 hamburgers and cheeseburgers on Friday. There were 59 fewer cheeseburgers sold than hamburgers, so the number of hamburgers sold on that day was 275.
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Help me with this question
Answer:
The area is 10cm2 and the perimeter is 16cm.
TRUE/FALSE return values are type-specific in php functions (a function only returns a value of a specified data type.)
Return values are type-specific in php functions The answer is False.
What is php function?
A PHP function is a piece of code that is very reusable. It can accept an argument list as input and return a value. Inbuilt functions in PHP number in the thousands.
You can develop your own functions in addition to the built-in PHP functions.
A function is a collection of statements that a programme can use repeatedly.
When a page loads, a function won't start running immediately.
A call to a function will cause the function to run.
In this a function only returns a value of a specified data type.
Hence, the given statement return values are type-specific in php functions is FALSE
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Which of the following is the solution set of the
problem?
O (-∞, -3)
(-∞, -3]
O
[-3,00)
O (-3,00)
DONE
The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;
(-∞, -3]How can the solution set of an inequality be found?A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;
2•x + 3 ≤ -3Solving the above inequality, we have;
2•x + 3 ≤ -3
2•x ≤ -3 - 3 = -6
2•x ≤ -6
Therefore;
x ≤ -6 ÷ 2 = -3
x ≤ -3
Which gives;
-∞ < x ≤ -3-∞ < x ≤ -3 in interval notation is (-∞, -3]
The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;
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A car travels 13 miles to the North before turning and drive 10 miles East.
From here, they drive 5 miles South, another 2 miles East, and finally drive miles South. What is their displacement?
Their displacement , that is shortest distance is equals to 13 miles
What is Displacement ?
Displacement can be defined as the shortest path covered from one path to another.
Given,
A car travels 13 miles to the North before turning and drive 10 miles East.
From here,
they drive 5 miles South, another 2 miles East, and finally drive 3 miles South
So, the shortest distance can be called as the displacement
displacement = \(\sqrt{a^2+b^2}\)
so,
a = 10+2
b = 13-5-3
b = 5
displacement = √(12^2 + 5^2 )
displacement = √169
displacement = 13
Hence, Their displacement , that is shortest distance is equals to 13 miles.
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Select the correct answer. which of earth’s systems was most affected by fossilized dinosaurs? a. biosphere b. hydrosphere c. lithosphere d. atmosphere
Answer:
The Earth's system which was affected the most by fossilized dinosaurs was the lithosphere.
Alyssa had two hundred 95 dollars to spend on 9 books.
After buying them she had 16 dollars. How much did
each book cost?
Answer:
$31
Step-by-step explanation:
295 minus 16 is 279
that's how much they were all together
and divide 279 by 9 and you get 31
Please give the correct answer. I will give you thumbs up!
Find the solution to the recurrence relation \( a_{n}=a_{n-1}+20 a_{n-2} \) with initial terms \( a_{0}=7 \) and \( a_{1}=10 \). \[ a_{n}= \]
Given the recurrence relation \(\( a_{n}=a_{n-1}+20 a_{n-2} \\)) with initial terms \( a_{0}=7 \) and \( a_{1}=10 \), we need to find the solution to the recurrence relation.
To find the solution to the recurrence relation, let's consider the characteristic equation associated with this recurrence relation:$$r^2=r+20$$
Simplifying the equation we get,\($$r^2-r-20=0$\)$Factorizing we get,\($$(r-5)(r+4)=0$$\)
\($$a_n=A(5)^n + B(-4)^n$$\)
where A and B are constants which can be found by substituting the initial terms.We know that, $a_0=7$ and $a_1=10$Substituting these values, we get the following two equations.$$a_0=A(5)^0 + \(B(-4)^0=7$\)$which gives \($A+B=7$$$a_1=A(5)^1 + B(-4)^1=10$\)$which gives $5A-4B=10$
Solving the above equations for A and B, we get$\($A= \frac{46}{9}$$\)and $$B= \frac{-19}{9}$$ answer for the question.
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What are independent variables and dependent variables when
conducting a research design to investigate the impact of a school
nutrition program on grade performance of students at high
school?
Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.
The researcher would design and implement the program, and this variable would be under their control.
Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.
In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.
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A scientist has developed a time-travel machine, but the machine is malfunctioning. At first he goes forward three years in time, then jumps forward two times the current year. Then, the machine takes him back 2000 years. He ends up in the year 2023. What year did he first operate the time-travel machine?
The scientist first operated the time-travel machine in the year 7.
To determine the year the scientist first operated the time-travel machine, we need to work backward from the given end point of 2023.
Since he ended up in 2023, we know that after going back 2000 years, the scientist was in the year 23. Going back even further, we subtract three years to account for the initial forward jump. This takes us to the year 20.
From there, we need to find the year when the scientist made the jump forward by two times the current year. To do this, we divide 20 by 2, resulting in 10. This means that the scientist made the jump forward in the year 10.
Finally, to determine the year when he first operated the time-travel machine, we subtract three more years from 10, which gives us the year 7.
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how to do this question plz
Answer:
x = 10
Step-by-step explanation:
Use the Pythagorean theorem. The sum of the square of the sides is the square of the hypotenuse.
x² +(√200)² = (√300)²
x² = 300 -200
x = √100 = 10
The length of the unknown side is 10 units.
7. By selling a bicycle for * 2,850, a shopkeeper gains 14%. If the profit is reduced to 8%, then the selling price
will be
(a) 2,600
(b) 2,700
(c) 2,800
(d) 3,000
with steps
Selling price of a bicycle = 2850
Profit percentage = 14%
We know that :
\(\color{plum}\tt{Cost \: \: price = \frac{Selling \: \: price \: \times \: 100}{100 \: \: + \: \: profit \: \%} }\)
Then, the cost price of this bicycle :
\( = \tt \frac{2850 \times 100}{100 + 14} \)
\( = \tt \frac{285000}{114} \)
\( =\color{plum} \tt2500\)
Thus, the cost price of this bicycle = 2500
In another scenario :
Profit percentage = 8%
Cost price of the bicycle = 2500
Then, Selling price will be equal to :
Let x be the selling price of the bicycle.
\( = \tt2500 = \frac{\: x \: \times 100}{100 + 8} \)
\( = \tt2500 = \frac{100x}{108} \)
\( =\tt 100x = 2500 \times 108\)
\( = \tt100x = 270000\)
\( =\tt x = \frac{270000}{100} \)
\( =\color{plum}\tt x = 2700\)
Therefore, the selling price with a profit of 8% will be = 2700
If A is an invertible nxn matrix, then the equation Ax=b is consistent for each b in R". O A. False; the matrix A satisfies Ax=b if and only if A is row equivalent to the identity matrix, and not every matrix that is row equivalent to the identity matrix is invertible. OB. True; since A is invertible, A-1b exists for all b in R" Define x=A-1b. Then Ax = b. OC. True; since A is invertible, A-'b= x for all x in R". Multiply both sides by A and the result is Ax = b. OD. False; the matrix A is invertible if and only if A is row equivalent to the identity matrix, and not every matrix A satisfying Ax=b is row equivalent to the identity matrix.
Statement is true: If A is an invertible nxn matrix, then the equation\(Ax=b\) is consistent for each b in R. The correct option is (B).Why is it true?Proof: Suppose A is an invertible nxn matrix.
Let b be any vector in R. Since A is invertible, it has an inverse matrix A-1. Then, A-1b exists.Now, define\(x=A-1b\). Then we can write\(b=Ax\). We have shown that a solution x exists for each b. To show that this solution is unique, suppose x1 and x2 both satisfy\(Ax=b\). Then\(Ax1=Ax2=b, and so A(x1 - x2)=0\). Since A is invertible, it has a trivial nullspace.
Thus,\(x1 - x2=0\), and hence x1=x2. Therefore, the solution to \(Ax=b\) is unique. Since the solution exists for every b, the system \(Ax=b\) is consistent for every b. Therefore, the statement is true.Hence, option (B) is correct.
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4(3+1/4c-1/2a)=?
I need help please :)
Answer:
Step-by-step explanation:
Distribute the 4 to each term inside of the parentheses.
\(4(3+\frac{1}{4} c-\frac{1}{2} a)=12+c-2a\)