No, the conditions for inference have not been met. The two samples must be independent, meaning that the individuals in the college sample should not also be in the high school sample. Without independent samples, it is not possible to construct a 95% confidence interval for the true mean difference.
1. Collect data from the two samples of seniors in high school and college.
2. Calculate the mean difference in the number of hours of sleep for the two samples.
3. Calculate the standard deviation of the differences in hours of sleep for the two samples.
4. Calculate the standard error of the mean difference.
5. Calculate the critical value for a 95% confidence interval.
6. Calculate the lower and upper bounds of the confidence interval by
adding and subtracting the critical value from the mean difference.
7. Interpret the confidence interval to determine the true mean difference in the number of hours of sleep for seniors in high school and colleg
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Segment $AB$ has midpoint $C$, and segment $BC$ has midpoint $D$. Semi-circles are constructed with diameters $\overline{AB}$ and $\overline{BC}$ to form the entire region shown. Segment $CP$ splits the region into two sections of equal area. What is the degree measure of angle $ACP$
The degree of measure of the angle ACP is 31.5°
The term angle in math is defined as the figure that is formed when two rays are joined together at a common point.
Here we have given that the total area of the given diagram is the sum of two semicircles with arc AB and arc CB having radius R and r respectively
Then it can be written as
=> R = AC
And the value of r = DB
Then the value of R is written as
=> R = 2 × r
So here we know that the area of the semicircles are given as follows
Here we have to write the semicircle with arc AB is written as
=> A₁ = π × R²/2 =
=> A₁ = π × (2×r)²/2
Then the value of A₁ is 2πr²
Similarly for the semicircle with arc CB is calculated as,
=> A₂ = π × r²/2
=> A₂ = 1/2πr²
Therefore, the degree of angle is 31.5°
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At what point does the curve have maximum curvature? y = 9 ln(x) (x, y) = What happens to the curvature as x rightarrow infinity? k(x) approaches_______________as x rightarrow infinity.
The point of maximum curvature of the curve y = 9 ln(x) occurs when the second derivative of the curve is equal to zero, which is when x = e. At this point, the curvature of the curve is equal to k(x) = 9/e^2.
What is infinity?Infinity is a concept used to describe something that is limitless or without end. It is typically used to describe a quantity, such as an infinite number of objects or an infinite amount of time. It is also used to describe the concept of something that is boundless or has no boundaries. Infinity is an abstract concept and is not considered a number or a measurement.
As x rightarrow infinity, the value of k(x) approaches zero, because the second derivative of the curve approaches zero. Therefore, k(x) approaches zero as x rightarrow infinity.
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If 21x^3-42x² + 3x is divided by 3x, the quotient is
The quotient when 21x^3-42x² + 3x is divided by 3x is 7x^2 - 14x + 3.
What is quotient?When we divide a number, the result we ultimately get is the quotient. Division is a mathematical operation that involves dividing items into equal groups. It is represented by the symbol (÷). For instance, three groups of 15 balls each need to be equally divided. Therefore, the division formula is 15 3 = 5 when we divide the balls into three equal groups. Here, the quotient is 5, so. This implies that there will be 5 balls in each group.
The given expression is:
21x^3 - 42x^2 + 3x
Divide the equation by 3x:
21x^3 - 42x^2 + 3x / 3x
Divide each term with 3x.
Using the rule of exponents we have a^n/ a^m = a^(n-m):
7x^2 - 14x + 3
Hence the quotient when 21x^3-42x² + 3x is divided by 3x is 7x^2 - 14x + 3.
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pencils come in packages of 18. erasers come in packages of 12. phillip wants to have the same number of pencils as erasers. how many packs of pencils and how many packs of eraser will he have to buy?
By applying the Least Common Multiple theory, it can be concluded that Philip has to buy 2 packs of pencils and 3 packs of erasers.
Least Common Multiple (LCM) of two or more numbers is the smallest positive integer that could be divided by those numbers.
The simplest way to find the LCM of two or more numbers is to list the multiples of each number.
Then, check the smallest multiple that appears in all of the multiple lists. This value is the LCM of those numbers.
From the question, we know that Philip wants to have the same number of pencils as erasers. Whilst they come in different packages. To do so, firstly we list the multiples of each package.
Pencil: 18 : 18, 36, 54, 72, 90, ...
Eraser: 12 : 12, 24, 36, 48, 60, ...
Now we check the smallest multiple that appears in all of the multiple lists, the LCM is 36.
36 pencils means 36 : 18 = 2 packs of pencils
36 erasers means 36 : 12 = 3 packs of erasers
Thus, Philip has to buy 2 packs of pencils and 3 packs of erasers
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which expression evaluates to true if and only if the units digit of an integer variable x is less than 6
The units digit of an integer every square of an integer ends with (=has a units digit) 0, 1, 4, 5, 6, or 9.
This question can be answered in a variety of ways. Finding squares with the unit digits 0, 4, 5, and 6 is one way to demonstrate by means of elimination that the answer must be 2. The reason this method works is that you're presuming one of the answers to this specific multiple-choice question is true, but it's not actually that fulfilling.
A more effective method is to note that any number has the form (10m+i) such that 0i9. By squaring, you may determine exactly which numbers are feasible units digits in a square by getting 100m2+20mi+i2, etc. in turn.
Every square of an integer should have the units digit (0, 1, 4, 5, 6, or 9) as its final value.
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1.4 ÷ 5.04
I really need this right now! Step by step pleasee!
Answer:
0,277777777777777777
An instructor wants to write a quiz with 9 questions where each question is worth 3, 4, or 5 points based on difficulty. he wants the number of 3-point questions to be 1 more than the number of 5-point questions, and he wants the quiz to be worth a total of 35 points. determine the number of 3-point, 4-point, and 5-point questions.
The quiz should have 5 3-point number of questions, 3 4-point questions, and 4 5-point questions, for a total of 35 points.
3-point questions: 5
4-point questions: 3
5-point questions: 4
1. The total number of questions is 9.
2. The total number of points for the quiz is 35.
3. There should be 1 more 3-point question than 5-point questions.
4. So, 5 of the questions should be worth 3 points each, for a total of 15 points.
5. That leaves 4 points remaining.
6. 4 points can be achieved by having 3 4-point questions (12 points) and 4 5-point questions (20 points).
7. Therefore, the number of 3-point, 4-point, and 5-point questions should be 5, 3, and 4 respectively.
The quiz should have 5 3-point questions, 3 4-point questions, and 4 5-point questions, for a total of 35 points.
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Which of the following clusters of terms accurately describes DNA as it is generally viewed to exist in prokaryotes and eukaryotes? double-stranded, parallel, (A + G)/(C + T) = 1.0, (A + T)/(C + G) = 1.0 double-stranded, parallel, (A + G)/(C + T) = variable, (A + T)/(C + G) = 1.0 double-stranded, antiparallel, (A + G)/(C + T) = 1.0, (A + T)/(C + G) = variable double-stranded, antiparallel, (A + G)/(C + T) = variable, (A + T)/(C+ G) = 1.0 double-stranded, antiparallel, (A + G)/(C + T) = 1.0, (A + T)/(C + G) = 1.0
DNA is a double-stranded molecule that runs in an antiparallel direction, with the ratio of adenine to guanine equal to the ratio of cytosine to thymine.
1. Identify the given information in the problem: (A + G)/(C + T) = 1.0, (A + T)/(C + G) = 1.0
2. Calculate the ratio of adenine to guanine: A/(G + T) = 1.0
3. Calculate the ratio of cytosine to thymine: C/(A + G) = 1.
4. Calculate the ratio of adenine to thymine: A/(C + G) = 1.0
5. Calculate the ratio of guanine to thymine: G/(A + C) = 1.0
6. Use the ratios to determine that the DNA is double-stranded and runs in an antiparallel direction with the ratio of adenine to guanine equal to the ratio of cytosine to thymine. Antiparallel, double-stranded,
(A + G)/(C + T) = 1.0, and (A + T)/(C + G) = 1.0
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let $m/n$, in lowest terms, be the probability that a randomly chosen positive divisor of $10^{99}$ is an integer multiple of $10^{88}$. find $m n$.
The value of (m+n) is 634.
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty.
The probability formula is defined as the possibility of an event happening being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
To get the multiples of [tex]10^{99}[/tex]
we need to take [tex]{(2)^{88}.........(2)^{99}}[/tex] and [tex]{(5)^{88}.........(5)^{99}}[/tex]
there are 12*12= 144
Probability = 14/(100)² = 144/10000 = 9/625
Thus, m = 9 and n = 626
Hence, m+n = 9+625 =634
Therefore, The value of (m+n) is 634.
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according to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. the venn diagram displays the coffee preferences of the customers. a venn diagram titled coffee preferences. one circle is labeled h, 0.53, the other circle is labeled i, 0.08, the shared area is labeled 0.22, and the outside area is labeled 0.17. a randomly selected customer is asked if they like hot or iced coffee. let h be the event that the customer likes hot coffee and let i be the event that the customer likes iced coffee. what is the probability that a randomly selected customer likes hot or iced coffee? 0.22 0.30 0.61 0.83
The probability that a randomly selected customer likes hot or iced coffee is 0.83.
What is probability?
To find the probability that a randomly selected customer likes hot or iced coffee, we need to add the probability of liking hot coffee and the probability of liking iced coffee, while subtracting the probability of liking both (since we don't want to count those customers twice).
So, P(H or I) = P(H) + P(I) - P(H and I)
We are given that P(H) = 0.75, P(I) = 0.30, and P(H and I) = 0.22 (from the venn diagram).
Therefore, P(H or I) = 0.75 + 0.30 - 0.22 = 0.83
So the probability that a randomly selected customer likes hot or iced coffee is 0.83.
Therefore, the answer is 0.83.
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Complete question is: according to sales records at a local coffee shop, 75% of all customers like hot coffee, 30% like iced coffee, and 22% like both hot and iced coffee. the venn diagram displays the coffee preferences of the customers. a venn diagram titled coffee preferences. one circle is labeled h, 0.53, the other circle is labeled i, 0.08, the shared area is labeled 0.22, and the outside area is labeled 0.17. a randomly selected customer is asked if they like hot or iced coffee. let h be the event that the customer likes hot coffee and let i be the event that the customer likes iced coffee. the probability that a randomly selected customer likes hot or iced coffee is 0.83.
Which of the following cannot be the sides of a triangle?
(i) 4.5 cm, 3.5 cm, 6.4 cm
(ii) 2.5 cm, 3.5 cm, 6.0 cm
(iii) 2.5 cm, 4.2 cm, 8 cm
(ii) 2.5 cm, 3.5 cm, 6.0 cm and (iii) 2.5 cm, 4.2 cm, 8 cm cannot be the sides of a triangle.
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
(i) 4.5 cm, 3.5 cm, 6.4 cm
4.5 + 3.5 = 8 > 6.4
4.5 + 6.4 =10.9 > 3.5
3.5 + 6.4 = 9.9 > 4.5
so these lengths can form a triangle.
(ii) 2.5 cm, 3.5 cm, 6.0 cm
2.5 + 3.5 = 6.0 = 6.0
2.5 + 6.0 = 8.5 > 3.5
3.5 + 6.0 = 9.5 > 2.5
so these lengths cannot form a triangle.
(iii) 2.5 cm, 4.2 cm, 8 cm:
2.5 + 4.2 = 6.7 < 8
2.5 + 8 = 10.5 > 4.2
4.2 + 8 = 12.2 > 2.5
so these lengths cannot form a triangle.
Therefore, (ii) and (iii) cannot be the sides of a triangle.
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If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?1/54/5516
The constant of variation for this relation will be option (C.) 5
Constant of variationThe ratio between two variables in a direct variation or the product of two variables in an inverse variation.
We solve the problem as follows.
Given that y is directly proportional x
y = kx, where k = proportionality constant
Constant of proportionality is the constant value of the ratio between two proportional quantities. Two varying quantities are said to be in a relation of proportionality when, either their ratio or their product yields a constant. The value of the constant of proportionality depends on the type of proportion between the two given quantities: Direct Variation and Inverse Variation.
According to the provided data,
y = 20
x = 4.
So,
20 = 4k
k = 20/4 = 5
Therefore constant of variation will be 5
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Simplify using order of
operations.
3.10(9 + 1)² 2
PEMA
MD
AS
The value of the expression 3.10(9 + 1)²2 is 620.
What is PEMDAS?The abbreviation PEMDAS is used to indicate the sequence of steps to be taken when resolving expressions with multiple operations. P is for "parentheses," E is for "exponents," M is for "multiplication," D is for division, A is for addition, and S is for subtraction.
Given:
An expression,
3.10(9 + 1)²2.
Solving the expression by the help of PEMDAS,
First, we solve the parenthesis,
3.10(10)²2
= 3.10 x 100 x 2
Now, applying multiplication,
3.10 x 100 x 2,
= 620
Therefore, the value is 620.
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Find the value of x, if it has a value:-
[tex]\tt 33-5(x-4)=3[/tex]
Step-by-step explanation:
[tex]\tt 33-5(x-4)=3[/tex]
[tex]\tt 33-5x+20=3[/tex]
[tex]\tt 53-5x=3[/tex]
[tex]\tt -5x=3-53[/tex]
[tex]\tt 5x=50[/tex]
[tex]\tt x=10[/tex]
I hope it's helpful
Which store has the better buy? explain your answer.two stores are selling candy for valentine's day. store a sells 2 1/4 lbs of candy for $13.50. store b sells 1 1/2 lbs of candy for $15.75.
Comparing the value of 1 lbs of the candy we observe that, store A sells the candy at a much cheaper price and hence it has the better buy.
What are mixed fractions?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
Given the number of candies the store sells for a given amount:
Store A:
2 1/4 lbs candy = $13.50
1 lbs candy = x
[tex]x = \frac{13.50}{\frac{9}{4} } \\\\x = \frac{(13.50)(4)}{9}\\ \\x=6[/tex]
Hence, store A sells 1 lbs of candy for $6.
Store B:
1 1/2 lbs candy = $15.75
1 lbs candy = y
[tex]y = \frac{15.75}{\frac{3}{2} } \\\\y = \frac{(15.75)(2)}{3}\\ \\y = 10.5[/tex]
Store B sells 1 lbs of candy for $ 10,5.
Comparing the value of 1 lbs of the candy we observe that, store A sells the candy at a much cheaper price and hence it has the best buy.
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Can a triangle have sides with 8 cm 7 cm and 9 cm?
Yes, for the given measurement of sides 8cm , 7cm, and 9cm the triangle formation is possible as sum of two sides is always greater than the third side.
As given in the question,
Given measurement of the side length of the triangle is equal to :
Measurement of Side 1 = 8cm
Measurement of Side 2= 7cm
Measurement of Side3 = 9cm
To form a triangle sum of the measure of two sides of a triangle should be greater than the measure of the third side of the triangle.
In the given triangle,
Side 1 + Side 2
= 8cm + 7cm
= 15cm > 9cm
Side 1 + Side 3
= 8cm + 9cm
= 17cm > 7cm
Side 3 + Side 2
= 9cm + 7cm
= 16cm > 8cm
Therefore, sum of measure of two sides is always greater than the third side it is possible to form a triangle with given measurement of sides.
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The lifetime of a particular type of car tire is normally
distributed. The mean lifetime is 50,000 miles, with a
standard deviation of 5,000 miles. Of a random sample of
15,000 tires, how many of the tires are expected to last for
between 45,000 and 55,000 miles?
0 7,125
o 10,200
o 14.250
14,850
Answer:
To answer this question, we need to use the properties of a normal distribution. So, the answer is b. 10,200
Step-by-step explanation:
The mean and standard deviation serve as the defining characteristics of a normal distribution, a form of probability distribution. The average tire lifespan in this situation is 50,000 miles, with a standard variation of 5,000 miles.
The number of tires that should last between 45,000 and 55,000 miles, or the region under the normal distribution curve between these two figures, is what we're looking for. The conventional normal table or a calculator using the inverse cumulative probability function can be used to find this region.
We can standardize the values by using the standard normal table, which is (X-mean)/standard deviation.
(45,000-50,000) / 5,000 = -1
(55,000-50,000) / 5,000 = 1
The area between -1 and 1 standard deviation from the mean is about 0.6826, which is the proportion of the tires that are expected to last between 45,000 and 55,000 miles.
To find the number of tires, we can multiply the proportion by the sample size (15,000)
0.6826 * 15,000 = 10,200
So, the answer is b. 10,200
Helpppppppppppppp meeeeeeeee plssssssssss
By algebra properties, the rational equation 1 / [1 / (x + 2) + 1 / (x + 3)] is equivalent to the rational expression (x² + 5 · x + 6) / (2 · x + 5). (Correct choice: B)
How to determine the simplified form of a rational equation
In this problem we find a rational equation, whose simplified form has to be found by means of algebra properties. First, write the entire expression:
1 / [1 / (x + 2) + 1 / (x + 3)]
Second, expand the denominator by addition of fractions with distinct denominator:
1 / [[(x + 3) + (x + 2)] / [(x + 2) · (x + 3)]]
Third, use division of fractions:
[(x + 2) · (x + 3)] / [(x + 3) + (x + 2)]
Fourth, simplify both numerator and denominator:
(x² + 5 · x + 6) / (2 · x + 5)
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i don't know the answer can someone help me answer it
Answer:
A. We can write a function to represent the cost of each quote using the information provided.
For Decks and More:
C(h) = 1800 + 70h
Where C is the cost and h is the number of hours of labor.
For Just Decks:
C(h) = 2000 + 50h
Where C is the cost and h is the number of hours of labor.
B. To determine which company Aaron should use, we need to substitute the estimated number of hours into the functions for both companies and compare the total costs.
For Decks and More:
C(18) = 1800 + 70(18) = 1800 + 1260 = 3060
For Just Decks:
C(18) = 2000 + 50(18) = 2000 + 900 = 2900
Since Just Decks quote is cheaper, Aaron should use Just Decks.
Change the equation in the row below to fix the marble slide.
Thus, the solution of equation problem is they need to be rewarded a minimal of 26 more times than usual to be able to enjoy a party.
Specify equation.A formula requires the equals sign (=). Because there is a scalar value on either part of an equation, you should think of it as either a left variable but a right side. As a set of scales, think of an equation. For it to be resolved, each side should be equally balanced, even though you can use various amounts on each side. In an algebraic equation, an unknown will be always present. Symbols like x, y, etc z are used to represent this.
Given:
Mrs. Morton places three marbles in a marble jar to give as a reward to her pupils for good conduct.
if the container holds 24 marbles. The essential equation is 24 + 3r 100 when r stands for how many extra awards there are for the class.
We'll get the bare minimum of marbles the jar can contain, which is 24 if we can figure it out.
Take 24 away from each side to find the answer to the puzzle.
=> 3r ≥100 -24
=> 76≤3r
=>76/3 ≤ r
=> r ≥ 25.33
=> r≈ 26
So they need to be rewarded at least an additional 26 times before they may enjoy a party.
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Sam has a goal of walking (3)1/2 miles by the end of the day. He walks (1)1/8 miles before lunch and 3/4 miles after resting. What is the remaining distance, in miles, that same needs to walk to reach his goal?
Since the remaining distance is negative, it implies that Sam has already exceeded his goal distance. Therefore, he doesn't need to walk any further to reach his goal.
To find the remaining distance that Sam needs to walk to reach his goal of (3)1/2 miles, we need to subtract the distance he has already walked from his goal distance.
Sam walks (1)1/8 miles before lunch and 3/4 miles after resting. To calculate the total distance he has walked, we add these two distances:
Total distance walked = (1)1/8 + 3/4
To add these fractions, we need to find a common denominator, which is 8 in this case
Total distance walked = (9/8) + (6/8)
= 15/8
= 1 (7/8)
Now, we subtract the total distance walked from Sam's goal distance:
Remaining distance = (3)1/2 - 1 (7/8)
To subtract fractions, we also need a common denominator. The common denominator is 2 in this case:
Remaining distance = (6/2 + 1/2) - (15/8)
= (12/8 + 1/8) - (15/8)
= 13/8 - 15/8
= -2/8
= -1/4
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brass is an alloy created using $80\%$ copper and $20\%$ zinc. if henri's brass trumpet contains $48$ ounces of copper, how many ounces of zinc are in the trumpet?
Henry's trumpet which is made of an alloy brass contains 9.6 ounces of zinc.
Brass is an alloy created using 80% copper and 20% zinc, which means that for every 100% of the alloy, 80% is copper and 20% is zinc.
If henry's trumpet contains 48 ounces of copper, we can use the proportion of copper and zinc in the alloy to find the number of ounces of zinc.
First, we can convert the percentage of zinc to a decimal by dividing by 100: 20% = 0.20
Next, we can set up an equation using the proportion of zinc in the alloy to the number of ounces of zinc in the trumpet:
0.20 = x/48 ounces of zinc
To solve for x, we can multiply both sides of the equation by 48:
0.20 * 48 = x
x = 9.6 ounces of zinc
So, Henry's trumpet contains 9.6 ounces of zinc.
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In 1997, a city had a population of 220,000 people. Each year since, the population has grown by 6.2%.
Let t be the number of years since 1997. Let y be the city’s population.
Write an exponential function showing the relationship between y and t.
The exponential function that shows the relationship between y and t is y = 220,000(1.062^t).
What is the exponential function?An exponential equation can be described as an equation with exponents. The exponent is usually a variable.
The general form of exponential equation is f(x) = e^x
Where:
x = the variable e = constantThe form of the exponential equation that can be used to determine the population after 1997 is:
FV = P (1 + r)^n
Where:
FV = future population P = present population R = growth rateN = number of yearsy=220,000 x ( 1+ 0.062)^t
y = 220,000(1.062^t).
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*Round to the nearest TENTH!!*
Perimeter =
Therefore , the solution of the given problem of the perimeter of given figure is 18 + √34 cm or 18 + 5.83 = 23.83 cm
What is a perimeter?In geometry, a shape's perimeter is referred as the entire length of its boundary. The perimeter of a form is created by adding the dimensions of all of its edges and the edges that surround it. Utilizing linear distance measures like centimeters, meters, inches, or feet, it is calculated.
Given:
5 + 8 + 5 + x = 18 +x
=> To find the value of x ,
We use pythagoras theorem :
thus,
=> 5² + 3² = x²
=> x² = 34
=> x = √34
The perimeter of given figure is 18 + √34 cm or 18 + 5.83 = 23.83 cm
Therefore , the solution of the given problem of the perimeter of given figure is 18 + √34 cm or 18 + 5.83 = 23.83 cm
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in college, we study large volumes of information - information that, unfortunately, we do not often retain for very long. the function f(x)
the percentage of information remembered at the moment it is first learned is 100%.
Function in mathematicsIn mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
Functions were originally the idealization of how a varying quantity depends on another quantity. For example, the position of a planet is a function of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century, and, until the 19th century, the functions that were considered were differentiable (that is, they had a high degree of regularity). The concept of a function was formalized at the end of the 19th century in terms of set theory, and this greatly enlarged the domains of application of the concept.
Your question is incomplete but most probably your full question was:
In college, we study large volumes of information - information that, unfortunately, we do not often retain for very long. The function f(x) = 80e-0.5x + 20
describes the percentage of Q. information, p, that a particular person remembers x weeks after learning the information. Substitute 0 for x and find the percentage of information remembered at the moment it is first learned.
a 100%
b 95%
c 90%
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Minimum charge of telephone upto 175 calls is Rs. 200. The charge for each extra call is Re. 1. If a man paid Rs. 726 with 10% TSC and 10% VAT, find the total number of calls made in that month.
Given that each additional call will cost Rs. 1,
The total cost of the additional calls is Rs. 1332 calls.
How to find the calculation?Given that there is a charge for up to 175 calls, Rs 200.
And each subsequent call will cost Rs 1.
Additionally, there are 13% VAT and 10% TSC.
Taxes total 10 + 13 = 23 %.
And the full amount owed is Rs 1988.8.
Finding the monthly total of additional calls is necessary.
Therefore, the amount before tax would be
1998.8 -14% of 1988.8
- 1988.8 - 1988.8 x 14/100
=1988.8 - 457.424
=1531.376.
Additionally, the minimum telephone fee is Rs 200.
After the minimum charge, the amount is 1531.376-200.
Rs 1331.376
Given that each additional call will cost Rs. 1,
The total cost of the additional calls is Rs.
1 = 1331.376/Rs = 1332 calls.
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Solve for X, Leave in simplest radical form.
The value of x (hypotenuse) by using trigonometry is 2√5.
What is trigonometry ?
The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.
The area of mathematics known as trigonometry examines the link between the ratios of a right-angled triangle's sides to its angles. Trigonometric ratios, such as sine, cosine, tangent, cotangent, secant, and cosecant, are employed to analyze this connection.
The measurement of angles and issues relating to angles are covered in the fundamentals of trigonometry. Trigonometry has three fundamental operations: sine, cosine, and tangent. The cotangent, secant, and cosecant are three crucial trigonometric functions that may be derived from these three fundamental ratios or functions. These functions serve as the foundation for all the key ideas in trigonometry.
In the triangle height = √15 and hypotenuse as x
The value of the angle is 60°
by using trigonomtry we can write
sin60° = height/ hypotenuse
√3/2 = √15/ x
x = (√15 * 2)/√3
x = 2√5
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given the arithmetic sequence: 5, 9, 13,... part a: what is the common difference and how do you find it?
The common difference is 4. To find it, you subtract the first two terms (5 and 9) to get 4. You can then use this answer to find the common difference in the sequence by subtracting each consecutive term. For example, 9-5=4, then 13-9=4, and so on.
The common difference is an important part of any arithmetic sequence. It is the number that is added to each term in the sequence to generate the next term. For example, the first two terms of the sequence are 5 and 9. The common difference of 4 is added to the first term (5) to get the second term (9). The common difference is then added to the second term (9) to get the third term (13), and so on. This is how the sequence is generated.
The common difference is an important tool for analyzing the behavior of an arithmetic sequence. Knowing a common difference allows you to determine the nth term of the sequence, as well as the sum of the first n terms. It also helps you to identify patterns in the sequence and make predictions about future terms. Knowing a common difference is an essential part of analyzing arithmetic sequences.
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Select the correct description for the quadratic expression below
the product of x and a factor not depending on x
What is quadratic equation
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.
The equation given 3x(m-6n)²
This expression contains two factors:
1 factor: 3x
2 factor: (m-6n)²
Hence the product of x and a factor not depending on x.
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How do I solve this…………………..
Answer:
1a. x = 0.08; y = 0.03; z = 0.17
1b. P(B) = 0.25
Step-by-step explanation:
Given a Venn diagram with some numbers filled in, you want to find the missing numbers given that the probability of at least one is 0.92, and of exactly one is 0.70.
How to solveThe missing values are found by understanding the given information and what that means in relation to the diagram.
At least oneThe total area enclosed by the circles is the probability of "at least one." The total probability represented by the entire diagram is 1, so that means ...
x = 1 - 0.92 = 0.08 . . . . . . . area not in any circle
It also means that ...
0.26 +0.05 +y +z +0.41 = 0.92 . . . . . . . area enclosed by circles
y + z = 0.20 . . . . . . . . . . . . . . . . . subtract 0.72
Exactly oneThe probability of exactly one is the sum of areas inside exactly one circle:
0.26 +y +0.41 = 0.70
y = 0.03
Using this with the above equation in y and z, we find ...
z = 0.20 -y = 0.17
BandicootsThe area inside circle B is ...
0.05 +y +z = 0.05 +0.20 = 0.25
The probability a contributor sponsors Bandicoots Unbanned is 0.25.
