HELP ME PLEASE!!! HELP ME PLEASE!!!
A Diginacci sequence is created as follows.
• The first two terms are any positive whole numbers.
• Each of the remaining terms is the sum of the digits of the previous
two terms.
For example, starting with 5 and 8 the Diginacci sequence is
5, 8, 13, 12, 7, 10,. . .
The calculations for this example are
5 + 8 = 13, 8 + 1 + 3 = 12, 1+ 3 +1+ 2 = 7, 1 + 2 + 7 = 10.
1. Find, with explanation, two starting terms for a Diginacci sequence
so that its 2021st term is 11.
2. Find, with explanation, a Diginacci sequence that has no term equal
to 11
Answers
1. To find two starting terms for a Diginacci sequence such that the 2021st term is 11, we can work backward from the 2021st term to determine the preceding terms.
Let's denote the first term as a and the second term as b. We need to find the values of a and b that will result in the 2021st term being 11.
Working backward, we know that the 2021st term (which is 11) is the sum of the digits of the previous two terms. Let's denote the (2020)th term as x and the (2019)th term as y. Therefore, we have:
11 = x + y
2. To find a suitable pair of x and y, we can iterate through possible values. Since the first two terms can be any positive whole numbers, we have some flexibility in choosing them.
For example, let's try a = 1 and b = 1:
Term 1: 1
Term 2: 1
Term 3: 2
Term 4: 1
Term 5: 3
Term 6: 4
Term 7: 7
Term 8: 11
The 8th term is 11, which matches our target. Therefore, if we start with a = 1 and b = 1, the 2021st term will indeed be 11.
To find a Diginacci sequence that has no term equal to 11, we need to ensure that none of the subsequent terms sum up to 11.
One way to achieve this is to start with two terms that are relatively large and have no digits summing up to 11. Let's try a = 99 and b = 100:
Term 1: 99
Term 2: 100
Term 3: 19 (9 + 9)
Term 4: 10 (1 + 0)
Term 5: 1
Term 6: 1
Term 7: 2
Term 8: 3
Term 9: 5
Term 10: 8
Term 11: 13
Term 12: 12
Term 13: 7
Term 14: 10
...
By starting with a = 99 and b = 100, the Diginacci sequence continues without reaching the value 11. The terms keep changing without summing up to 11, as seen in the subsequent terms above.
Thus, this particular Diginacci sequence starting with a = 99 and b = 100 does not have any term equal to 11.
Related Questions
Use the following statements to write a compound statement for the conjunction or disjunction. Then find its truth value. Explain.
p: A plane contains at least three noncollinear points.
q: A square yard is equivalent to three square feet
r: The sum of the measures of two complementary angles is 180.
p ∧ ∼ r
Answers
According to the given statement the truth value of the compound statement p ∧ ∼ r is false.
To write a compound statement for the conjunction or disjunction using the statements p, q, and r, we can use the logical connective "and" (∧) to join p and ∼ r. .
The compound statement can be written as p ∧ ∼ r.
To find the truth value of the compound statement, we need to evaluate the truth values of p and ∼ r.
Statement p:
A plane contains at least three noncollinear points.
This statement is true because a plane can contain more than three noncollinear points.
Statement r:
The sum of the measures of two complementary angles is 180.
This statement is true because complementary angles are defined as two angles that add up to 180 degrees.
∼ r means the negation of statement r, which is false.
Now, let's evaluate the truth value of the compound statement p ∧ ∼ r:
p is true and ∼ r is false.
When we have a conjunction (using the logical connective "and"), the compound statement is true only if both individual statements are true.
Since p is true and ∼ r is false, the compound statement p ∧ ∼ r is false.
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The truth value of p ∧ ∼ r depends on the specific truth values of p and r. It is important to note that without the truth values assigned to p and r, we cannot determine the truth value of the compound statement p ∧ ∼ r.
To write a compound statement for the conjunction or disjunction, we need to combine the given statements using logical operators. The conjunction operator (∧) represents "and," while the disjunction operator (∨) represents "or."
Given statements:
p: A plane contains at least three noncollinear points.
q: A square yard is equivalent to three square feet.
r: The sum of the measures of two complementary angles is 180.
To write the compound statement for the conjunction (∧), we combine p and the negation (∼) of r: p ∧ ∼ r. This statement means "A plane contains at least three noncollinear points and the sum of the measures of two complementary angles is not 180."
To find the truth value of p ∧ ∼ r, we evaluate the individual truth values of p and ∼ r. If both p and ∼ r are true, the compound statement is true; otherwise, it is false.
Example:
If p is true (a plane contains at least three noncollinear points) and ∼ r is true (the sum of the measures of two complementary angles is not 180), then p ∧ ∼ r is true.
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The ______ is the essential geometric form in the construction and support of a geodesic dome. multiple choice question. hexagon triangle rhombus circle
Answers
The triangle is the essential geometric form in the construction and support of a geodesic dome.
A geodesic dome is a spherical structure like a round tent that is formed by the simultaneous placements of triangular structures one along the other. The triangles are placed in such a way it seems that rhombuses are placed one after the other.
They are lightweight, and a layer of canvas or transparent material is placed over the structure to make it water-proof.
It was first created by the American designer Richard Buckminster Fuller in the 20th century.
Although these homes save energy and give a perfect place to live in nature, they can also pose some issues like the placement of the chimney, creating rooms within the dome, leakage in the roof, and so on.
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The mean difference of the successive squares of the first six prime numbers is
A 24
D 33.6
B 24.2
C 33
Answers
The answer is;
62.83
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now,
The first 6 prime numbers are 2, 3, 5, 7, 11 ,13
The square of 6 prime number
4, 9 ,25, 49 , 121 , 169
The mean difference of these number is
⇒ (4 + 9 + 25 + 49 + 121 + 169) / 6
⇒ 62.83
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what is the answer to this?
Answers
Answer:
C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
because the y column can all be multiplied by 5 to get the x column
Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation , where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have
Answers
The number of nickels that Sonji has as per the given equation is 63.
What is the value of N mean?In mathematical operations, “n” is a variable, and it is often found in equations for accounting, physics and arithmetic sequences. A variable is a letter or symbol that stands for a number and is used in mathematical expressions and equations. In an arithmetic sequence, which is a list of numbers that follow a pattern, “n” is a variable representing the number of the term to find.For instance, if students want to find the value of the seventh term, “n” would be 7. In physics, an equation for standing waves uses “n” as an integer symbolizing the harmonic number or number of antinodes. The equation evaluates the length of the string in terms of its wavelength. In accounting, “n” is used in the equation for compound interest. It represents the number of compounding in 1 year.We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.
0.10d + 0.05n = 5.25
0.10(21) + 0.05n = 5.25
2.10 + 0.05n = 5.25
0.05n = 3.15
n = 3.15 / 0.05
n = 315 / 5
n = 63
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a movie theatre models the revenue from ticket sales in one day as a function of the ticket price, p. here are two expressions defining the same revenue function. p ( 120p - 4p ) and 120p - 4p 2 according to this model, how high would the ticket price have to be for the theater to make $0 in revenue? explain your reasoning. what equation can you write to find out what ticket price(s) would allow the theater to make $600 in revenue?
Answers
The ticket prices that would allow the theater to make $600 in revenue are $120 and $13.4.
In order for the theater to make $0 in revenue, the ticket price would have to be $4. This can be determined by setting the revenue functions equal to 0 and solving for p.
For p (120p - 4p) = 0
120p - 4p = 0
4p = 120
p = $30
For 120p - 4p2 = 0
120p - 4p2 = 0
4p2 = 120p
p2 = 30p
p = $4
To find the ticket prices that would allow the theater to make $600 in revenue, we can set the revenue functions equal to 600 and solve for p.
For p (120p - 4p) = 600
120p - 4p = 600
4p = 120 + 600
p = $120
For 120p - 4p2 = 600
120p - 4p2 = 600
4p2 = 120 + 600
p2 = 30 + 150
\(p = $\sqrt{180} \approx $13.4\)
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HELP ANYONE PLEASE RIGHT ANSER ?!
Answers
Answer:
B.
Step-by-step explanation:
They all are alternating interior angles so they'll be congruent.
Answer:
B. Alternating interior angles are congruent
Step-by-step explanation:
The angles that are in the statements are all interior angles. When compared to each other, they lie on opposite sides of the transversal.
-3x (- -8x+52+:
+5+3)
A. 11x²8x-9
11x³8x² - 9x
B.
C. 24x³15x² - 9x
D.
24x²15x - 9
Answers
Answer:
To simplify the expression -3x(-8x+52+5+3), we can distribute the -3x to each term inside the parentheses:
-3x(-8x+52+5+3) = 24x² - 156x - 15x - 9x
Simplifying further by combining like terms, we get:
-3x(-8x+52+5+3) = 24x² - 180x - 9x
Therefore, the simplified expression is 24x² - 189x. None of the options given match this answer. Therefore, there seems to be an error in the original question.
Step-by-step explanation:
whats ski mask first ever song
Answers
Answer:
it was catch me on soundclouud
Step-by-step explanation:
Draw a triangle ABC with A(6,10), B(7,6), and C(10,7).
Translate it 5 squares left and 6 squares down to get A'B'C'.
Write the coordinates of the image.
Answers
Answer:
A(1,4) B(2,0) C(5,1)
a quality control expert at life batteries wants to test their new batteries. the design engineer claims they have a variance of 8100 with a mean life of 1192 minutes. if the claim is true, in a sample of 72 batteries, what is the probability that the mean battery life would be greater than 1173.8 minutes? round your answer to four decimal places.
Answers
For a sample of 72 batteries, the probability that the average battery life of the sample exceeds 1173.8 minutes is 0.9918.
It states a battery life variance of 8100 minutes and a median battery life of 1192 minutes.
In a sample of 72 batteries, find the probability that the average battery life (x) of the sample exceeds 1173.8 minutes.
Due to the large sample size (n = 72), we can use the central limit theorem to assume that the sample mean follows a normal distribution with mean μ = 1192 and standard deviation σ = sqrt(8100/72) = 30.
So the z-score for x= 1173.8 is
z = (x - μ) / (σ / sqrt(n))
= (1173.8 - 1192) / (30 / square(72))
= -2.4
You can use a standard normal distribution table or calculator to find the probability that a standard normal random variable is greater than -2.4. This is 0.9918 (rounded to four decimal places).
Therefore, for a sample of 72 batteries, the probability that the average battery life of the sample exceeds 1173.8 minutes is 0.9918 (rounded to four decimal places) if the claim is correct.
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julian rolled a normal 6-sided die 12 times. his rolls were as follows: 2, 4, 3, 3, 5, 1, 2, 6, 3, 1, 3, 5, 4. what is the probability that he will roll a 3 on the next roll?
Answers
The probability that Julian will roll a 3 on the next roll is approximately 16.67%. The probability of rolling a 3 on a normal 6-sided die is independent of the previous rolls. This means that regardless of the outcomes of Julian's previous rolls, the probability remains the same.
Explanation
On a 6-sided die, there is 1 favorable outcome for rolling a 3 (the number 3 itself) out of 6 possible outcomes (1, 2, 3, 4, 5, and 6).
To find the probability, you can use the formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
In this case:
Probability of rolling a 3 = 1 (favorable outcome) / 6 (total outcomes)
Probability of rolling a 3 = 1/6 ≈ 0.1667 or 16.67%
So, the probability that Julian will roll a 3 on the next roll is approximately 16.67%.
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Plot the image of point Q under the translation (x, y) + (x - 3, y + 4).
Answers
Answer:
( 2, -1 )
Step-by-step explanation:
The image of the assumed point Q(2, 3)) under the translation is Q'(-1, 7).
What is Translation?Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.
Translation of a point (x, y) indicates that the point is moved x units along the X axis and y units along the Y axis,
Here we have to translate the point Q(2, 3).
Point (x, y) is translated as (x - 3, y + 4).
That is the point (x, y) moves 3 units to the left along the X axis and 4 units upwards along the Y axis.
Q(2, 3) after the translation becomes,
Q'(2 - 3, 3 + 4) = Q'(-1, 7)
Hence the point Q(2, 3) under the translation (x - 3, y + 4) is the point Q'(-1, 7).
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Fluffy the bunny ate 1/4 of a carrot in the morning, and she ate some more at night. By the end of the day, she still had 1/4 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?
Answers
The carrot ate by Fluffy the bunny at the night will be equal to 2/4 or 1/2.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Carrot ate by bunny in the morning = 1/4
Then, carrot left after ate by bunny = 1- 1/4 = 3/4
Assume that the amount of carrot ate at the night be x.
Then, the carrot left = 1/4
So, the equation will be,
3/4 - x = 1/4
x = 3/4 - 1/4
x = 2/4 or,
x = 1/2.
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In the expression 2x - 8 what is x referred to as?
1. coefficient
2. variable
3. constant
Which is NOT an equation?
1. 5 - 4x
2. 6x - 5 = 8
3. x/3 + 9 = -1
Answers
Answer:
Step-by-step explanation:
A) 2x - 8
x is called variable
Option 2
B) 5 - 4x is not a equation
Option 1
gravel is being dumped from a conveyor belt at a rate of 4 cubic feet per minute. it forms a pile in the shape of a right circular cone whose height and base diameter are always equal to each other. how fast is the height of the pile increasing when the pile is 5 feet high?
Answers
By using formula volume of cone, When the pile is 5 feet high, the height of the pile is increasing at a rate of 0.0169 feet per minute.
What does volume mean in plain terms?
A solid shape's capacity is measured using volume, a three-dimensional quantity.
It implies that a closed figure's volume determines how much three-dimensional space it can fill.
Volume of cone = 1/3πr²h
If the Base Diameter = Height of the Cone
The radius of the Cone = h/2
Therefore,
volume of the cone = πh/3 (h/2)²
v = πh³/12
Rate of Change of the Volume, dV/dt = 3πh²/12 dh/dt
Since gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. Therefore, the Volume of the cone is increasing at a rate of 10 cubic feet per minute.
dV/dt = 4ft³/min
We want to determine how fast is the height of the pile is increasing when the pile is 5 feet high.
We have
3πh²/12 dh/dt = 4
when h = 5 feet
3π * 5²/12 dh/dt = 4
75π dh/dt = 4
dh/dt = 4/75π
dh/dt = 0.0169 feet per minute.
When the pile is 5 feet high, the height of the pile is increasing at a rate of 0.0169 feet per minute.
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Given the equation f + 24 = −3, solve for f.
Answers
Answer:
f=-27, hope this helped my love have a good rest of your day ^^
Step-by-step explanation:
subtract 24 from both sides
the you get f=-27
Enter a range of values for x.
23
Ħ 42° 3x+15°
[?]
21
![Enter a range of values for x.23 42 3x+15[?]21](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/4GnFnjWIJXHfmFXackuBDHJr4z7aJy91.png)
Answers
The range of x will be -5 to 9 so -5° < x < 9°.
What is a triangle?The three-sided shape known as a triangle is sometimes used to allude to it. Every triangle has three sides and three angles, some of which might be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
The minimum possible value of angle 3x + 15 is 0°
So,
3x + 15 = 0
x = -5
The maximum possible value of angle 3x + 15 is 42°
So,
3x + 15 = 42
x = 9
Hence the range of x will be -5° < x < 9°.
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Someone help me with factors
Answers
Answer:
A 30 is 5
B 12 is 4
C 26 is 13
D 36 is 2
Step-by-step explanation:
that is all i know
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and
last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch
1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sente
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use comples
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a
5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for
sentences, explain how the graphs of the functions for the two months are similar and how they are different.
02.03 Key Features of Linear Functions-Option 1 Rubric
Requirements
Student changes equation to slope-intercept form. Student shows all work and identifies the slope and y-intercept of the
Student writes a description, which is clear, precise, and correct, of how to graph the line using the slope-intercept meth
Student changes equation to function notation. Student explains clearly what the graph of the equation represents.
Student graphs the equation and labels the intercepts correctly.
Student writes at least three sentences explaining how the graphs of the two equations are the same and how they are different.
Answers
1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.
2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.
3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.
4. A graph of the function with intercepts is shown below.
5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.
How to change the equation to slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;
2x + 3y = 1,470
By subtracting 2x from both sides of the equation and dividing by 3, we have:
2x + 3y - 2x = 1,470 - 2x
y = -2/3(x) + 490
Therefore, the slope is -2/3 and the y-intercept is 490.
Part 2.
In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.
Part 3.
Next, we would write the equation in function notation as follows;
f(x) = -2/3(x) + 490
where:
f(x) represents the number of wrap lunch sold.x is the number of sandwich lunch sold.The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.
Part 4.
In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.
Part 5.
Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:
2x + 3y = 1593; y = -2/3(x) + 531.
2x + 3y = 1,470; y = -2/3(x) + 490.
In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.
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Complete Question:
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
solve each equation
9x^2=27x
Answers
Answer:Hello, Your answer is x=0.3.
Step-by-step explanation:
But I need more information on the equation for the answer to be correct
Answer: x=3
Step-by-step explanation:9x^2=27x
x^2=27x/9
x^2=3x
x=3x/x
x=3
( x+y+z )² + 2( x+y+z ) +1
Answers
Answer:
\((x+y+z+1 {)}^{2} \)
Step-by-step explanation:
\((x+y+z {)}^{2} +2(x+y+z)+1\)
\((x+y+z+1 {)}^{2} \)
Hope it is helpful....Here is your answer hope this helps you.
Click on photo! Needing help ASAP please would be such a blessing!
Answers
Answer:
U can put other values also.....
Hope it helps you.......
Express the polynomial −g + 3g + 2g2 in standard form and then classify it.
cubic binomial
quadratic binomial
cubic trinomial
quadratic trinomial
Answers
Answer:
quadratic binomial
\({ \boxed{ \bf{a {x}^{2} + bx + c }}} \\ 2 {g}^{2} + 3g - g\)
What is the simplified form of this expression?
(3 - 13x - 7x?) - (5X2 + 12x - 10)
Answers
Answer:
-5x^2-32x+13
Step-by-step explanation:
(3-13x-7x)-(5x^2+12x-10)
3-20x-5x^2-12x+10
-5x^2-32x+13
Answer:
-12x^2-25x+13 is the actual answer on Plato
Step-by-step explanation:
which of these expression is equivalent to -2(3-y)
Answers
\(( - 6 + 2y)\)
answer the question
The mean age for all Foothill College students for a recent Fall term was 33.2. The population standard deviation has been pretty consistent at 15. Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was 30.4. We are interested in the true mean age for Winter Foothill College students. Let X = the age of a Winter Foothill College student.
Construct a 95% Confidence Interval for the true mean age of Winter Foothill College students by working out then answering the next two exercises. How much area is in each tail? /2= The 95% confidence interval is:
In one complete sentence, explain what the interval means.
Using the same mean, standard deviation, and sample size, how would the error bound change if the confidence level were reduced to 90%? Why?
Answers
With a smaller error bound, the confidence interval narrows, increasing confidence in the estimated mean age with a more precise range of values.
To construct a 95% confidence interval for the true mean age of Winter Foothill College students, we need to calculate the margin of error and then determine the interval.
First, let's calculate the standard error, which is the standard deviation divided by the square root of the sample size:
Standard Error = (Population Standard Deviation) / sqrt(sample size)
Standard Error = 15 / sqrt(25)
Standard Error = 15 / 5
Standard Error = 3
The margin of error is then calculated by multiplying the standard error by the appropriate critical value from the t-distribution. For a 95% confidence level, the critical value is 2.063 (assuming a sample size of 25 and using a t-distribution).
Margin of Error = (Critical Value) * (Standard Error)
Margin of Error = 2.063 * 3
Margin of Error = 6.189 (rounded to three decimal places)
To calculate the confidence interval, we subtract and add the margin of error to the sample mean:
Confidence Interval = Sample Mean ± Margin of Error
Confidence Interval = 30.4 ± 6.189
Confidence Interval = (24.211, 36.589)
The area in each tail is determined by the confidence level. In this case, it's a 95% confidence interval, so there is 2.5% of the total area in each tail.
In one complete sentence, the 95% confidence interval means that we are 95% confident that the true mean age of Winter Foothill College students falls within the interval of (24.211, 36.589).
If the confidence level were reduced to 90%, the critical value from the t-distribution would change. With a smaller critical value, the margin of error would decrease.
Therefore, the error bound would become smaller, resulting in a narrower confidence interval. This means that we would have a higher level of confidence in the estimated mean age, but the interval would be less wide, providing a more precise range of potential values for the true mean age.
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if point j has coordinates (7, 8 1/2), and point K is reflected over the y-axis, what is the ordered pair for its reflection?
Answers
Answer:
(-7, -8 1/2)
Step-by-step explanation:
If f(x) = 4x -3 and g(x) = 2x + 1, what is ƒ(g(x))?
Answers
To find f(g(x)) we need to:
Put the equation of g(x) instead of x at f(x).Simplify.f(x) = 4x - 3 ∧ g(x) = 2x + 1
Therefore:
\(f\big(g(x)\big)=4(2x+1)- 3=8x+4-3=8x+1\\\\\\\large\boxed{\bold{f\big(g(x)\big)=8x+1}}\)
Lydia was out at a restaurant for dinner when the bill came. Her dinner came to $30. After adding in a tip, before tax, she paid $34.50. Find the percent tip.
Answers
Answer:
is 16.75
Step-by-step explanation:
Answer:
15%
Step-by-step explanation: