Which histogram represents the data in the frequency table showing the age of people leaving the library?
Answers
Answer:
last graph
Step-by-step explanation:
Related Questions
What is the union of the two intervals (2,3] and [3,4], written as a single interval?
Answers
The union of the two intervals (2,3] and [3,4], written as a single interval is (2,4].
What is an interval?
⇒ An interval is an expression that involves a subset of numbers on the actual line. These intervals contain all the actual numbers between the two numbers in the interval.
There are three types of intervals, these are:
Open intervals: are the numbers of the set between two numbers. These are denoted by a parenthesis (a,b), where a and b are any two numbers, and on the actual line, they are identified by an unfilled circle.Closed intervals: are the sets formed by two numbers and those between them. This interval is denoted by square brackets [a,b], and on the actual line, it is identified by two filled circles for each number in the interval.Semi-open interval: these intervals can be opened on the right and closed on the left (a,b] or opened on the left and closed on the right [a,b).⇒ The intervals can be joined if in the math problem the result is between one end of the real line and the other end of the real line. There are two intervals with the sign of union in the middle of them.
The representation of the union of these intervals is given as follows:(2,3]∪[3,4] , the union is denoted by ∪
Now as in every interval the three is part, we can express this union of this set as one in the following way:
⇒ (2,4]
Hence, the union of the two intervals (2,3] and [3,4], written as a single interval is (2,4].
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Write an equation that represents a vertical translation 10 units left of the graph g(x)=|x|
Answers
or g (x) = | x | + 10 (vertical translation 10 units up)
You deposit $2,000 in a savings account that earns 5% simple interest yearly. How many years will it take to triplicate your money? (Where applicable use the rule of 72 ). Usted deposita $2,000 en una cuenta de ahorros que paga 5% de interés simple anual. ¿Cuántos años le tomará triplicar su dinero? (Si aplica utilice la regla del 72). 12.05 años| 11.34 años 40 años 25 años
Answers
Answer:
Scroll Down Below...
Step-by-step explanation:
To decide by virtue of what many age it will love trio person engaged in private ownership of business, we can use the rule of 72 for plain interest. The rule of 72 states that you can approximate the number of age it takes for an expenditure to double by separating 72 apiece annual interest. In this case, we ask about by virtue of what long it takes to trio person engaged in private ownership of business, so we'll separate 72 for one interest (5%).72 / 5 = 14.4According to the rule of 72, it would take nearly 14.4 age to double person engaged in private ownership of business at a 5% annual interest. Since we be going to trio person engaged in private ownership of business, we need to double it two times.14.4 age x 2 = 28.8 ageTherefore, it would take nearly 28.8 age to trio person engaged in private ownership of business at a 5% natural interest.In Spanish:Para determinar cuántos años tomará triplicar el money, podemos utilizar la regla del 72 para el interés plain. La regla del 72 establece que puedes aproximar el número de años que se tarda en duplicar una inversión dividiendo 72 entre la tasa de interés anual. En este caso, queremos weapon cuánto tiempo tomará triplicar el money, así que dividiremos 72 entre la tasa de interés (5%).72 / 5 = 14.4Según la regla del 72, tomaría aproximadamente 14.4 años duplicar el money a una tasa de interés anual del 5%. Como queremos triplicar el money, necesitamos duplicarlo do veces.14.4 años x 2 = 28.8 añosPor lo tanto, tomaría aproximadamente 28.8 años triplicar el money a una tasa de interés natural del 5%. La respuesta correcta es 28.8 años.
I urgently need the answer to number 6 with the work shown
Answers
Answer:
Here you go! Work shown too.
hi , how to do 14? :)
Answers
Answer:
l think because the base of ax and a² is same we can write x=2..and the same thing is applied in by and b⁵.
6. Given sin 8 = + with 0 € 191 find the values of the other 5 trigonometric functions.
Answers
Given sin θ = + with 0 ≤ θ ≤ π/2, we can find the values of the other five trigonometric functions. The values are as follows: cos θ = +, tan θ = +, sec θ = +, csc θ = +, and cot θ = +.
We are given that sin θ = + with 0 ≤ θ ≤ π/2. Since sin θ is positive in the first and second quadrants, we can determine the values of the other trigonometric functions as follows:
Cosine (cos θ): In the first quadrant, cosine is positive, so we have cos θ = +.
Tangent (tan θ): The tangent is the ratio of sine to cosine, so tan θ = sin θ / cos θ. Substituting the given values, we get tan θ = + / + = +.
Secant (sec θ): The secant is the reciprocal of the cosine, so sec θ = 1 / cos θ. Using the value of cos θ from above, we have sec θ = 1 / + = +.
Cosecant (csc θ): The cosecant is the reciprocal of the sine, so csc θ = 1 / sin θ. Substituting the given value, we get csc θ = 1 / + = +.
Cotangent (cot θ): The cotangent is the reciprocal of the tangent, so cot θ = 1 / tan θ. Using the value of tan θ from above, we have cot θ = 1 / + = +.
Therefore, the values of the other five trigonometric functions for the given condition are cos θ = +, tan θ = +, sec θ = +, csc θ = +, and cot θ = +.
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Without multiplying, order the following products from least to greatest.
1 1/6 x 310 8/8x310 4/7x310
Answers
One of the factors is present in all of the items mentioned. The order of the value of the other factor will match the order of the value of the product.
A multiplication comparison: What does that mean?When two amounts are compared, a multiplicative comparison determines which can be created when the other is multiplied by a specific number. Like Sam, who has twice as many balloons than Sid. Three balloons are in Sid's possession.Every single one of the previously named things contains one of the elements. Both the order of the other factor's value and the order of the product's value will be the same. A fraction that is equal to 1 multiplied by a number produces a number as the result. A positive whole number can be multiplied by a fraction greater than one, and the resulting number will always be larger than the initial whole number.To learn more about Multiplicative comparison refer to:
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20. Mercury 203 has a decay rate of 1.481% per day. Given the exponential model representing the amount of Mercury 203 remaining after days, find how long it will take 300 grams of the Mercury 203 to
Answers
According to the model, it will take 0 days for 300 grams of Mercury 203 to completely decay.
The natural logarithm, often denoted as ln(x), is a mathematical function that represents the logarithm to the base e, where e is the mathematical constant approximately equal to 2.71828.
To find out how long it will take for 300 grams of Mercury 203 to decay, we can use the exponential decay model.
The general formula for exponential decay is given by:
A(t) = A₀ * e^(-rt),
where A(t) represents the amount of the substance at time t, A₀ is the initial amount, r is the decay rate, and e is the base of the natural logarithm.
In this case, we have the initial amount A₀ = 300 grams and the decay rate r = 0.01481 (1.481% written as a decimal).
We want to find the time t when the amount A(t) is equal to zero. Substituting these values into the formula, we have:
0 = 300 * e^(-0.01481t).
To solve for t, we can divide both sides of the equation by 300 and take the natural logarithm of both sides:
ln(0) = ln(e^(-0.01481t)),
0 = -0.01481t.
To isolate t, we divide both sides by -0.01481:
0 / -0.01481 = t,
t = 0.
Therefore, according to the model, it will take 0 days for 300 grams of Mercury 203 to completely decay.
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1.6 x 10⁵
_______
0.2 x 10²
Answers
Answer:1:160000
2:20
Step-by-step explanation:
We have 2 fractions 2/5 and 3/10, and we want to rewrite them so that they have a common denominator (and whole number numerators).
Answers
Answer:
2/5=4/10 3/10
Step-by-step explanation:
2x2
5x2
Answer:
4/10 and 3/10
Step-by-step explanation:
The common denominator for 5 and 10 is 10
2/5 *2/2 = 4/10
2/5 and 3/10 with common denominators are
4/10 and 3/10
Mr. Coleman has 30 students in his science class. He noticed that 27 of those students use backpacks to carry their books.
What percent of the students in Mr. Coleman's class use backpacks to carry their books?
Answers
If 27 out of 30 students use backpacks to carry books %90 of the class uses backpacks to carry books
Answer:
90%
Step-by-step explanation:
Calculate the percentage as
(number with backpacks ) ÷ (total students in class ) × 100% , that is
\(\frac{27}{30}\) × 100%
= \(\frac{9}{10}\) × 100%
= 0.9 × 100% = 90%
The lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently are listed. Assume the population standard deviation is 6.1 years. At α equals 0.06 , is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years?
17.8, 21.1, 19.7, 9.5, 18.5, 13.2, 13.6, 10.7 19.1, 7.5, 11.3, 7.6, 21.8, 9.2, 21.6, 9.8 19.3, 21.9, 22.6, 15.5, 12.4, 9.5, 14.9, 7.7 12.9, 17.6, 14.1, 19.4, 17.1, 17.3, 15.4, 22.5
Identify the standardized test statistic. Use technology.
Z = _____.
Answers
There is not enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years.
What is the mean and standard deviation?
The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.
To find the standardized test statistic (Z-score), we need to first calculate the sample mean and standard error of the mean.
Sample mean:
x = (17.8 + 21.1 + 19.7 + 9.5 + 18.5 + 13.2 + 13.6 + 10.7 + 19.1 + 7.5 + 11.3 + 7.6 + 21.8 + 9.2 + 21.6 + 9.8 + 19.3 + 21.9 + 22.6 + 15.5 + 12.4 + 9.5 + 14.9 + 7.7 + 12.9 + 17.6 + 14.1 + 19.4 + 17.1 + 17.3 + 15.4 + 22.5) / 32
x = 15.91875
Standard error of the mean:
SE = σ /√(n)
SE = 6.1 / √(32)
SE = 1.0823
Now we can calculate the Z-score:
Z = (x - μ) / SE
Z = (15.91875 - 13) / 1.0823
Z = 2.5707
we can find that the p-value associated with a Z-score of 2.5707 is approximately 0.0051.
Since the significance level (α) is 0.06, which is larger than the p-value, we fail to reject the null hypothesis.
Therefore, there is not enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years.
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The peanuts cost $2.70 for 1 pound. How
much does 3.5 pounds of peanuts cost?
Answers
Answer: $9.45
Step-by-step explanation:
Set up a proportion of 2.70/1 = x/3.5. To solve, multiply 2.70 by 3.5 and divide by 1. 2.70*3.5 = 9.45/1 = 9.45.
Take 2.70 times 3.5 and you get your answer.
Peter is saving to buy a new camera. The camera costs $50. Peter has already saved $23.25. His plan is to save $4.50 every week to save at least enough for the camera.
Answers
Answer:
50>23.25+4.5x
if he saves money for 5 weeks he’ll have enough money
23.25+4(6)=50.12
Step-by-step explanation:
Answer: About 6 weeks
Step-by-step explanation:
23.25+4.50x=50
4.50x=50-23.25=26.75
x=26.75/4.50=5.94
x=5.94 the 4 is repeating
Show that the equation x ^ 3 + 6x - 10 = 0 has a solution between x = 1 and x = 2
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So all we have to do is plug in 1 and 2 for x and prove one is negative and the other is positive.
If we plug in 1, we get -3. If we plug in 2, we get positive 10. This means there is a solution!
estimate [infinity] (2n + 1)−9 n = 1 correct to five decimal places.
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The estimated value of the infinite sum [infinity] (2n + 1)−9 n = 1 is 0.00253, correct to five decimal places.
To estimate the sum, we can use the formula for the sum of an infinite geometric series, which is a/(1-r), where a is the first term and r is the common ratio.
In this case, the first term is (2(1) + 1)−9 = 1/512, and the common ratio is 2/3. Therefore, the sum can be estimated as (1/512)/(1-(2/3)) = 1/2560 = 0.000390625.
However, since this only gives us two decimal places of accuracy, we need to add more terms to the sum to get a more accurate estimate. By adding more terms using a calculator or computer program, we find that the sum converges to approximately 0.00253, correct to five decimal places.
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Salesman Scott received $2,792.79 for selling a property. If the gross commission was 6.5 % of the sale price, the listing salesman received 12% of the gross commission and Scott received 45% of the balance, how much did the property sell for?
Answers
Answer: The property sold for $5,870.41.
Step-by-step explanation:
Let x be the selling price of the property.
Then, gross commission = 6.5% of x = 0.065x
listing salesman received = 12% of ( 0.065x) = 0.12 (0.065x) = 0.0078 x
Balance = x - ( 0.065x) - (0.0078 x)
= (1+0.065-0.0078)x
= 1.0572x
Scott received = 45% of (1.0572x)
=0.45 (1.0572x)
= 0.47574x
Now, \(0.47574x=2,792.79\)
\(\Rightarrow\ x=\dfrac{2792.79}{0.47574}\\\\\Rightarrow\ x=5870.41\)
Hence, the property sold for $5,870.41.
Find and state the convergence properties of the Taylor series for the following. 1/1 + z around z0 = 0
Answers
The Taylor series has convergence within the disk centered at z₀ = 0 with a radius of 1.
The convergence properties of a Taylor series depend on the function being approximated and the point around which the series is being expanded.
The Taylor series for the function 1/(1 + z) around z₀ = 0 is as follows:
1/(1 + z) = 1 - z + z² - z³ + z⁴ - ...
The series converges if the absolute value of the ratio of successive terms is less than 1, i.e.
|(-1)ⁿ zⁿ⁺¹ / (-1)ⁿ⁺¹ zⁿ| < 1
|z| < 1
So, the Taylor series converges in the disk of radius 1 centered at z₀ = 0.
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Un bidon con aguatiene capacidad para 63 litros si el bidon tiene llena la tercera parte de su capacidad total cuantos litros le faltan para llenarlos completamente
Answers
Answer:
42 litros
Step-by-step explanation:
63 / 3 = 21
21 * 2 = 42
Before mr.wonsavage was a superhero in "wontropolis" he made wedding favors fof wedding receptions using peanuts and m&ms. pesnuts cost $3.50 per pound and m&ms cost $8 per pound. mr won wants to make 60 pounds of the peanut/m&ms mixture costings $6.00 per pound. how many pounds of peanuts and m&ms shoukd be mixed?
Answers
Answer:
10 pounds of copounds must be mixed
Step-by-step explanation:
Because if Mr wom wants 60 pounds if 1 cost &$6.00 he must take the prime number that can be multiplied by 6 to give us 60. The number is 10.
2x + 3y = -9
-x + 4y = 10
Solve the system
Answers
Answer:
x = -6
y= 1
Step-by-step explanation:
make one of the variables equal to each other
4(2x+3y) = -9
3(-x+4y) = 10
subtract
8x+12y = -36
- -3x+12y =30
----------------------
11x = -66
x = -6
plug back in to find y
8(-6)+12y = -36
12y= 12
y = 1
Which is the best way to write the underlined parts of sentences 2 and 3?
(2) They have a special finish. (3) The finish helps the
swimmer glide through the water.
Click for the passage, "New Swimsuits."
OA. Leave as is.
B. a special finish that helps
C. a special finish, but the finish helps
D. a special finish so the finish helps
Answers
Answer:
Option B is the best way to write the underlined parts of sentences 2 and 3.
Sentence 2: They have a special finish that helps.
Sentence 3: The finish helps the swimmer glide through the water.
Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.
Two negative integers have a sum of -18 and a
product of 80. What are the integers?
Separate the answers with a coma.
Answers
Answer:
-10, -8
Step-by-step explanation:
a + b = -18
a * b = 80
Solve:
from the first eq.
a = 18 - b
replacing this value in the secon eq.
(18-b)*b = 80
18*b + b*-b = 80
-b² + 18b = 80
-b² + 18b - 80 = 0
b = {-18±√((18)² - (4*-1*-80))] /(2*-1)
b = {-18±√(324.320)} / -2
b = {-18±√4} / -2
b = {-18±2} / -2
b₁ = {-18-2} / -2 = -20/-2 = 10
b₂ = {-18+2} / -2 = -16/-2 = 8
The two number must be negatives, so the numbers are:
-10 and -8
Check:
-10 + (-8) = -10 - 8 = -18
-10*-8 = 80
please help me answer this.
Answers
Answer:
-15
Step-by-step explanation:
cuanto mide el angulo desconocido en el triangulo
Answers
If three pounds of apples costs $5.25, how much will 10 pounds
cost?
Answers
Answer:
$1.75 per pound of apples, 10 apples can be purchased for $17.50 because you divide 17.50 by 1.75 since that is your unit rate per pound.
Step-by-step explanation:
Answer:
the answer is 17.50
Step-by-step explanation:
one pound is 1.75 so you multiply that by 10 and you get 17.50
if my answer helped give me a thanks a rating and i would appreciate a brainliest
a disk in the shape of a circle has a diameter of 64 millimeters. what is the radius of the disk?
Answers
Answer:
the radius is 32
Step-by-step explanation:
the radius of a circle is half the diameter
hope this helps
Aman sells clay flowerpots $6 each he has earned $36 so far.how many more clay flower pots does Aman need to sell to earn enough money to buy the pair of shoes that cost $55????
Answers
Answer:
4
Step-by-step explanation:
if he needs at least 55.
55-36=19
19÷6=3.16666...
round up he gets 61
Find the first derivative for each of the following:
y = 3x2 + 5x + 10
y = 100200x + 7x
y = ln(9x4)
Answers
The first derivatives for the given functions are:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.
For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.
For the function\(y = 3x^2 + 5x + 10:\)
Taking the derivative term by term:
\(d/dx (3x^2) = 6x\)
d/dx (5x) = 5
d/dx (10) = 0
Therefore, the first derivative is:
dy/dx = 6x + 5
For the function y = 100200x + 7x:
Taking the derivative term by term:
d/dx (100200x) = 100200
d/dx (7x) = 7
Therefore, the first derivative is:
dy/dx = 100200 + 7 = 100207
For the function \(y = ln(9x^4):\)
Using the chain rule, the derivative of ln(u) is du/dx divided by u:
dy/dx = (1/u) \(\times\) du/dx
Let's differentiate the function using the chain rule:
\(u = 9x^4\)
\(du/dx = d/dx (9x^4) = 36x^3\)
Now, substitute the values back into the derivative formula:
\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)
Therefore, the first derivative is:
dy/dx = 4/x
To summarize:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For y = 100200x + 7x, the first derivative is dy/dx = 100207.
For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
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Chin researched the amount of money 150 students earned per month from jobs held during the summer. He created a table of six sample means from his collected data
Answers
A valid prediction about the mean of the population is Option(b) The predicted mean of the population will be less than 245.
Sample data:
1 2 3 4 5 6
240 236 245 243 238 242
Mean = sum of sample data/sample frequency
(240+236+245+243+238+242)/6 = 240.67
Hence, the Correct answer is Option(b).
Answer choices are below:a) The predicted mean of the population will be less than 200.
b) The predicted mean of the population will be less than 245.
c) The predicted mean of the population will be more than 275.
d) The predicted mean of the population will be more than 250.
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Answer:
B) The predicted mean of the population will be less than 245.
(*✧×✧*)