N + 2/5 = 4/5
What is “N”?
Answer:
2/5
Step-by-step explanation:
same denominator so ignore it.
2 + 2 = 4
2/5 + 2/5 = 4/5
simple way.
You select a sample of 20 kids in the Valley Kindergarten and observe that their ages are
9; 9.5; 9.5; 10; 10; 10; 10; 10.5; 10.5; 10.5; 10.5; 11; 11; 11; 11; 11; 11; 11,5; 11,5; 11.5
Find the sample standard deviation of the age distribution in the Wenatchee Valley Kindergarten.
Solution. Please write your detailed solution here:
Standard deviation of the following data is 0.655.
What is standard deviation?The standard deviation is equal to the variance's positive square root. It is a fundamental statistical analysis method. The amount by which data values deviate from the mean is referred to as "standard deviation," or "SD."
Whereas a big standard deviation implies that the values are much outside the mean, a low standard deviation shows that the values are frequently only a few standard deviations from the mean.
Here in the question,
Total kids = 20.
Mean = 9+9.5+9.5+10+10+10+10+10.5+10.5+10.5+10.5+11+11+11+11+11+11+11.5+11.5+11.5/20
= 10.52
Now square of distance between mean and ages.
(9-10.52) ² = 2.31
(9.5-10.52) ² = 1.04
(10-10.52) ² = 0.27
(10.5-10.52) ² = 0.0004
(11-10.52) ² = 0.23
(11.5-10.52) ² = 0.96
Now sum of all the differences = 2.31 + 1.04 + 1.04 + 4×0.27 + 4× 0.0004 + 6× 0.23+ 3×0.96
= 8.73
Now standard deviation = √8.73/20
= √0.43
= 0.655
To know more about standard deviation, visit:
https://brainly.com/question/23907081
#SPJ1
Write -1.1 as a mixed number.
Answer:
- 1 1/10--------------------------------
A mixed number is the number in the format a b/c, where a - whole number and b/c - the fraction part.
Show the given as a mixed number:
- 1.1 = - (1 and 0.1) = - (1 and 1/10) = - 1 1/10
The solid edges below form the triangle. The dashed lines are just there to help us find the height.
Area inside the solid lines=
Answer: 96 in squared.
First find the area of the whole triangle:
= 1/2(24+6)(8)
= 1/2(30)(8)
= 120
Then, find the area of the triangle formed by dotted lines:
= 1/2(6)(8)
= 24
Subtract the two areas:
= 120 - 24
= 96
i need this answer for my hw please help me
In order for ΔCAM≅ΔCOM to be proved, all three sides and all three angles must be equal. So the correct answer is E. ΔCAM≅ΔCOM.
What is corresponding sides?Corresponding sides are two sides in a polygon that are directly across from each other. This can be seen when two sides are connected by a line that is perpendicular to the other two sides.
ΔCAM≅ΔCOM can be proved when the two triangles have three corresponding sides and three corresponding angles that are equal.
However, option E does not provide proof of this as it only states that two angles are equal.
The other four options provide such proof.
Option A states that two angles are equal, Option B states two lines are equal and two angles are equal, Option C states two lines are equal and two angles are equal, and Option D states two lines are equal and two lines are equal. All of these provide the proof that ΔCAM≅ΔCOM.
For more questions related to polygon
https://brainly.com/question/1592456
#SPJ1
In order for ΔCAM≅ΔCOM to be proved, all three sides and all three angles must be equal. Option E does not provide proof of this as it only states that two angles are equal. So the correct answer is E. ΔCAM≅ΔCOM.
What is corresponding sides?Corresponding sides are two sides in a polygon that are directly across from each other. This can be seen when two sides are connected by a line that is perpendicular to the other two sides.
ΔCAM≅ΔCOM can be proved when the two triangles have three corresponding sides and three corresponding angles that are equal.
However, option E does not provide proof of this as it only states that two angles are equal.
The other four options provide such proof.
Option A states that two angles are equal,
Option B states two lines are equal and two angles are equal,
Option C states two lines are equal and two angles are equal, and Option D states two lines are equal and two lines are equal.
All of these provide the proof that ΔCAM≅ΔCOM.
For more questions related to polygon
https://brainly.com/question/1592456
#SPJ1
(-77.92) + (-8.39) + 59.4 - (-91.77)
Answer:
64.86
Step-by-step explanation:
Given: (-77.92) + (-8.39) + 59.4 - (-91.77)
The + and - will become -, and the - and - will become +:
-77.92 - 8.39 + 59.4 + 91.77
Finally, calculate:
-86.31 + 151.17
= 64.86
marketing companies have collected data implying that teenage girls use more ring tones on their cellular phones than teenage boys do. in one particular study of 40 randomly chosen teenage girls and boys (20 of each) with cellular phones, the mean number of ring tones for the girls was 3.3 with a standard deviation of 1.6. the mean for the boys was 1.6 with a standard deviation of 0.7. conduct a hypothesis test at the 5% significance level to determine if the girls' mean is higher than the boys' mean.
Conducting a hypothesis test at the 5% significance level we can conclude that the girls' mean is higher than the boys' mean.
To conduct a hypothesis test to determine if the girls' mean is higher than the boys' mean, you will need to use a two-tailed hypothesis test with a significance level of 5%. The null hypothesis is that the girls' mean is not higher than the boys' mean, and the alternative hypothesis is that the girls' mean is higher than the boys' mean. The test statistic is calculated using the formula:
Test statistic = (Girls' mean - Boys' mean) / (Standard deviation of the difference / √(sample size))
The test statistic for this study is calculated as: (3.3 - 1.6) / (1.6/√40) = 4.375.
Using a 5% significance level and two-tailed hypothesis test, the critical value for this test is 1.96. Since the test statistic (4.375) is greater than the critical value (1.96), the null hypothesis can be rejected.
Therefore, we can conclude that the girls' mean is higher than the boys' mean.
Know more about hypothesis test here:
https://brainly.com/question/4232174
#SPJ11
What’s of the following describes a situation in which there is a linear relationship between time and population. 1. The population doubles each year. 2. The population increases by 500 the first year, by 1000 the next year, by 1500 the next year, and so on. 3. The population increases by 2000 people each year. 4. The population increases by 10% each year.
The statement that describes a linear relationship between time and population is 3. The population increases by 2000 people each year.
What is a linear relationship?A linear relationship is an association between two variables, for example, time and population.
In a linear relationship, there is a straight-line relationship between the two variables, which can be expressed graphically or as a mathematical equation, y = mx + b.
There is a positive linear relationship when the slope is positive such that as the independent variable increases, the dependent variable increases.
A negative linear relationship exists when one increases while the other variable decreases.
Finally, a linear relationship can show a neutral relationship when the slope is 0, then as one variable increases, the other remains constant.
Thus, the linear relationship between time and population is best described by Option 3.
Learn more about linear relationships at https://brainly.com/question/29685213.
#SPJ1
david has real 18 pages more than 1/4 pages of a book. write an expressions to represents the p pages david has read.
The expression to represent the p pages David has read is: p = 18 + (1/4)x, where x is the total number of pages in the book.
David has read 18 pages more than 1/4 pages of a book. The expression to represent the p pages that David has read would be: p = 18 + (1/4)x, where x is the total number of pages in the book. The reasoning behind this is as follows:
David has already read 18 pages more than 1/4 of the book, so we have to add 18 pages to whatever the pages of the book are. Since we don't know what the actual number of pages are, we'll call that x. Therefore, David read 1/4 of the book (or 1/4 of x) plus 18 pages.
Hence, the expression is: p = 18 + (1/4)x.
To learn more about expressions visit : https://brainly.com/question/4344214
#SPJ11
What is the relationship between the central angle and the interior angle?
As the number of sides increases, how do the angles change?
Please use complete sentences. Thanks!
The relationship between the central angle and interior angle is Central angle = 2 * Interior angle.
What is internal angle and central angle?The internal angle is the angle created by two adjacent sides of a polygon within the circle, whereas the central angle is the angle formed by two radii of a circle that intersect at its centre. Since one of the sides of the polygon opposing the interior angle is opposite the central angle, the two angles are connected by the following formula:
central angle = 2 * Interior angle.
As the number of sides in a polygon increases, the measure of each interior angle decreases while the measure of each central angle remains constant.
Learn more about central angle here:
https://brainly.com/question/15698342
#SPJ1
. a model for the population p(t) in a suburb of a large city is given by the initial-value problem dp dt 5 p(1021 2 1027 p), p(0) 5 5000, where t is measured in months. what is the limiting value of the population? at what time will the population be equal to onehalf of this limiting value?
The population will be equal to one-half of the limiting value after 4.67 months.
Model for the population p(t) in a suburb of a large city is given by the initial-value problem dp/dt= 5 p(1021−2×1027p), p(0) = 5000. Now we are to find out the limiting value of the population and the time when the population will be equal to one-half of the limiting value.Limiting value of the populationThe limiting value is the population value when the population grows until it levels off. In other words, we can say that it is the maximum population that can be sustained by the resources available.
We can find the limiting value by considering what would happen if the rate of change of the population became zero. This can occur only when p=0 or 1021−2×1027p =0.Solving this equation, we get p = 0 and p = 5.1 × 10⁷/2 = 2.55 × 10⁷Thus, the limiting value of the population is 2.55 × 10⁷.We know that the population is given by p(t) and we have to find the time when the population will be equal to one-half of the limiting value. To find t, we need to solve the differential equation dp/dt= 5 p(1021−2×1027p).
Separating variables, we getdp/p(1021−2×1027p) = 5 dtOn integrating, we get-1/2 ln|1021−2×1027p| = 5t + CWhere C is the constant of integration.Using the initial condition p(0) = 5000, we getC = -1/2 ln|1021−2×1027(5000)|Solving for C, we getC ≈ -2.97Solving for p, we get1021−2×1027p = ±e^(-10t+2.97)Multiplying both sides by -1/2, we get-0.5(1021−2×1027p) = ±0.5e^(-10t+2.97)Taking the negative sign, we getp = 0.5(1021 + 0.5e^(-10t+2.97))/1027Substituting p = 1.275 × 10⁷, we get1.275 × 10⁷ = 0.5(1021 + 0.5e^(-10t+2.97))/1027Multiplying both sides by 1027 and simplifying, we get1.32 × 10^4 = 1021 + 0.5e^(-10t+2.97)Solving for e^(-10t+2.97), we gete^(-10t+2.97) = 2 × (1.32 × 10^4 - 1021)Taking the natural logarithm, we get-10t + 2.97 = ln[2 × (1.32 × 10^4 - 1021)]Solving for t, we gett ≈ 4.67 months.
Learn more about Population
brainly.com/question/27991860
#SPJ11
Pls help!! I NEED IT BADLYYY ILL GIVE BRAINIEST!!
Additionally, please note that offering a "brainiest" reward for assistance is not necessary.
Hello! I'd be happy to help you with your question, but please refrain from using excessive capitalization or urgency in your request. It can come across as rude and disrespectful to others who are also seeking assistance.
Regarding your question, I'll do my best to answer it to the best of my abilities. However, I need you to provide me with more details on what specifically you need help with. Without this information, it's difficult for me to provide you with an accurate answer.
Our goal is to provide helpful and informative responses to all users, regardless of any potential rewards.
Thank you for reaching out, and I look forward to hearing back from you with more information on your question.
To learn more about : brainiest
https://brainly.com/question/29660858
#SPJ11
The polynomial 3x³-16x² +31x-20 represents the area of a trapezoidal desktop. The length of the bases of the
trapezoid are represented by the expressions x + 5 and x² - 5x. If area of a trapezoid equals 1/2h(b₁ + b2), what is
the height of the trapezoid? Hint: Use long division. (please help i’ve been stuck on it for 45 minutes and i’m crying)
Therefore, the possible values for x are 1, 4, and 5.
First, let's use long division to factor the polynomial 3x³-16x²+31x-20, which represents the area of the trapezoidal desktop, by x²-5x+x-5:
____________________________
[tex]x^{2} -5x+x-5 | 3x^{3} - 16x^{2} + 31x - 20[/tex]
[tex]- (3x^{3} - 15x^{2} + 3x^{2} - 15x)[/tex]
____________________________
[tex]- x^{2} + 31x - 20[/tex]
[tex]-(- x^{2} + 5x - 5)[/tex]
________________
[tex]26x - 15[/tex]
The result of the long division is x - 5 with a remainder of 26x - 15.
Therefore, we can rewrite the polynomial as:
[tex]3x^{3} - 16x^{2} + 31x - 20 = (x - 5)(x^{2} - 5x + 4) + (26x - 15)[/tex]
Now, let's use the formula for the area of a trapezoid to set up an equation using the polynomial above:
[tex]area = 1/2h(b_1 + b_2)[/tex]
We know that the bases of the trapezoid are represented by the expressions x + 5 and x² - 5x, so we can substitute them in the formula:
[tex]3x^{3} - 16x^{2} + 31x - 20 = 1/2h((x + 5) + (x^{2} - 5x))[/tex]
Simplifying the expression:
[tex]3x^{3} - 16x^{2} + 31x - 20 = 1/2h(x^{2} - 4x + 5)[/tex]
Multiplying both sides by 2:
[tex]6x^{3} - 32x^{2} + 62x - 40 = h(x^{2} - 4x + 5)[/tex]
Now, we can substitute the remainder of the long division we did earlier (26x - 15) for h:
[tex]6x^{3} - 32x^{2} + 62x - 40 = (x - 5)(x^{2} - 5x + 4) + (26x - 15)[/tex]
[tex]6x^{3} - 32x^{2} + 62x - 40 = (x - 5)(x^{2} - 5x + 4) + h[/tex]
[tex]6x^3 - 32x^2+ 62x - 40 = (x - 5)(x^2 - 5x + 4) + (26x - 15)[/tex]
Simplifying the expression again:
[tex]6x^3 - 32x^2 + 36x - 25 = (x - 5)(x^2 - 5x + 4)[/tex]
Now we have a quadratic equation that we can solve for x:
[tex]x^3 - 5x^2 + 4x + 5x^2 - 25x + 20 = 0[/tex]
[tex]x^3 - 21x + 20 = 0[/tex]
[tex](x - 1)(x - 4)(x - 5) = 0[/tex]
Therefore, the possible values for x are 1, 4, and 5.
Now we can substitute these values in the expression we derived for h:
[tex]h = (6x^3 - 32x^2 + 62x - 40)/(x^2 - 4x + 5)[/tex]
For x = 1:
[tex]h = (6(1)^3 - 32(1)^2 + 62(1) - 40)/2\\h = 6-32+62-40/2\\h = 68-72/2\\h = -4/2\\ h= -2[/tex]
To know more about polynomial visit:
https://brainly.com/question/11536910
#SPJ1
Last month, the price of one pound of carrots was $2 1/12 and Joe
sold 12 1/12 pounds of carrots. This month, the price has increased
by $1 1/10and Farmer Joe only sold 5 1/8 pounds of carrots. What is
the price of a pound of carrots this month?
The price of a pound of carrots this month is $3.183.
What is the price of a pound of carrots in the month?The price of one pound of carrots last month was $2 1/12. To add $1 1/10 to this price, we need to convert both prices to twelfths of a dollar to make the addition easier.
$2 1/12 = 25/12
$1 1/10 = 11/10
Adding these two prices together gives us:
= 25/12 + 11/10
= 3.18333333333
= $3.183.
Read more about price
brainly.com/question/1153322
#SPJ1
Between 1989 and 1998, the population of Smalltown, USA (in thousands) can be modeled by I(x) = 0.34x2 - 4.08x + 16.2, where x = 0 represents 1989. Bassed on this model, in what
year did the population of Smalltown reach its minimum?
Using functions, we can find that the population of Smalltown reached its minimum in year 1995.
Define function?Functions are the central idea of calculus in mathematics. The functions are special types of relations. A function is a rule that generates a unique outcome for each input x in mathematics.
A mapping or transformation in mathematics represents a function.
The minimum point of this function corresponds to the vertex of the upward-opening parabola it creates.
You must consider the sign of the coefficient of the quadratic term, "a," in order to calculate the direction of the parabola without graphing it.
The parabola widens if the value of "a" is positive.
The parabola begins at the bottom if "a" is negative.
Now, you must use the following formula to find the x-coordinate of the vertex of a quadratic function represented in standard form:
x = -b/2a
a = 0.34
b = -4.08
x = -(-4.08)/2 × 0.34
= 4.08/0.68
= 6
Now, f (6) = 0.34 × 6² - 4.08 × 6 + 16.2
= 12.24 - 24.48 + 16.2
= 3.96
≈ 4
So, coordinates of the vertices are: (6,4)
If x = 0 is year 1989
Then, x = 6 is year 1989 + 6 = 1995.
This means that the population of Smalltown reached its minimum in year 1995.
To know more about functions, visit:
https://brainly.com/question/12431044
#SPJ1
Find the surface area of the composite figure. 2 in. 4 in. 10 in. SA 4 in. 2 in. 4 in. 7 in. 4 in. = = [?] in.2 Sea FATEM 37049077 PED If you'd like, you can use a calculator. Enter
The surface area of the composite figure is; SA = 224 in.²
How to find the area of a Composite Figure?From the composite figure attached, we can find the surface area of each of the rectangular/square external face seen as:
[tex]SA= 2(10 \times 2) + 2(4 \times 7) + 2(4 \times 4) + 2(4 \times 2) + (4 \times 7) + (10 \times 4) + (3 \times 4)[/tex]
[tex]SA = 40 + 56 + 32 + 16 + 28 + 40 + 12[/tex]
[tex]SA = 224 \ \text{in}.^2[/tex]
Thus, we can conclude that the surface area of the composite figure is:
[tex]SA = 224 \ \text{in}.^2[/tex]
I messed this up please help me out with explanation
Answer:
(B) one
Step-by-step explanation:
You want to know how many points on the interval [0, 5] the function f(x) = e^(2x) have a slope equal to the average slope.
Rate of changeThe instantaneous rate of change of function f(x) is its derivative:
f'(x) = 2e^(2x)
This is a continuously increasing function (as is f(x)), so in any given interval there will be only one point that has any given slope.
The Mean Value Theorem says there is at least one point in the interval with the same slope as the average slope. The nature of the derivative tells you there is exactly one point with the same slope as the average slope.
WhereThe average rate of change on [0, 5] is ...
AROC = (e^(2·5) -e^(2·0))/(5 -0) = (e^10 -1)/5
The instantaneous rate of change will have that value where ...
f'(x) = 2e^(2x) = (e^10 -1)/5
2x = ln((e^10 -1)/10)
x = ln((e^10 -1)/10)/2 ≈ 3.84868475302
For this value of x, f'(x) = AROC
how many extra calories would a person burn if they slowly walked (1.7 miles per hour) rather than sit for one hour?
On average, a person weighing 150 pounds can burn approximately 80 to 90 extra calories by slowly walking at a pace of 1.7 miles per hour for one hour instead of sitting.
The number of extra calories a person would burn by slowly walking instead of sitting for one hour depends on various factors, such as the person's weight, height, age, and gender. However, on average, a person weighing 150 pounds can burn approximately 80 to 90 calories by walking at a slow pace of 1.7 miles per hour for an hour.
This number may vary slightly based on individual differences and other factors, such as incline or terrain. Walking is a low-impact form of exercise that can help increase calorie burn and improve overall health, making it a great option for those looking to lead a more active lifestyle.
Learn more about calories here
brainly.com/question/28680077
#SPJ4
what enone product would you expect to obtain from intramolecular aldol condensation of 3-methylheptane dial?
The expected product from the intramolecular aldol condensation of 3-methylheptane dial is a cyclic α,β-unsaturated ketone with a seven-membered ring.
3-methylheptane dial is a 7-carbon compound with two carbonyl groups, one at each end of the molecule. Intramolecular aldol condensation occurs when one carbonyl group reacts with the other within the same molecule. The carbonyl group acts as an electrophile, while the enolate formed from the other carbonyl group acts as a nucleophile.
In the case of 3-methylheptane dial, intramolecular aldol condensation can occur between the carbonyl group at the 3-position and the enolate formed from the carbonyl group at the 6-position. The resulting intermediate undergoes dehydration to form a cyclic α,β-unsaturated ketone.
The product of the reaction will have a cyclic structure with a double bond between the α and β carbons. The exact structure of the product will depend on the stereochemistry of the starting material and the reaction conditions. However, the product is expected to have a seven-membered ring and to be an α,β-unsaturated ketone.
Therefore, the expected product from the intramolecular aldol condensation of 3-methylheptane dial is a cyclic α,β-unsaturated ketone with a seven-membered ring.
To learn more about methylheptane dial visit:https://brainly.com/question/30897292
#SPJ11
is -2/3 less than or greater than -5/2?????????/
Answer:
Greater than
Step-by-step explanation:
With negative numbers the smaller it is, the more its worth. (If that makes sense) -2 is MUCH bigger than -500
:)
Monique has 4 pencils for every 2 pens in her backpack. If she has 6 pencils, how many pens does she have? If pens are the X variable and pencils are the Y variable, plot this relationship as a point in the coordinate plane.
Answer: 3 pens
Step-by-step explanation: The ratio of pencils to pens Monique has is 2:1, this means that for every 2 pencils Monique has she will have 1 pen. To plot this on a graph you can put one point at (2,1) and another point at (4,2)
Please help me! LIKE RNWWW. I HAVE BEEN WAITING AND NO ONE HAS BEEN HELPING. THIS IS DUE AT 2:15 PM!!!! IN TWO MINSSS!!!!! A game has 15 balls for each of the letters B, I, N, G, O. The table shows the results of drawing balls 1,250 times.
Letter Frequency
B 247
I 272
N 238
G 241
O 252
For which letter is the experimental probability closest to the theoretical probability? Explain please.
The letter O has the experimental probability that is closest to its theoretical probability.
Define the term probability?Probability is an area of statistics that deals with the study of random events and their likelihood of occurrence.
The theoretical probability of drawing a particular letter is the number of balls of that letter divided by the total number of balls in the game. For each letter, the theoretical probability is:
B: 15/75 = 0.2
I: 15/75 = 0.2
N: 15/75 = 0.2
G: 15/75 = 0.2
O: 15/75 = 0.2
The experimental probability of drawing a particular letter is the number of times that letter was actually drawn divided by the total number of draws. For each letter, the experimental probability is:
B: 247/1250 = 0.1976
I: 272/1250 = 0.2176
N: 238/1250 = 0.1904
G: 241/1250 = 0.1928
O: 252/1250 = 0.2016
Compare the differences between the theoretical and experimental probabilities for each letter. The letter with the smallest difference is the one whose experimental probability is closest to its theoretical probability.
Here, the differences between the theoretical and experimental probabilities for each letter are:
B: 0.2 - 0.1976 = 0.0024
I: 0.2 - 0.2176 = 0.0176
N: 0.2 - 0.1904 = 0.0096
G: 0.2 - 0.1928 = 0.0072
O: 0.2 - 0.2016 = 0.0016
Based on these calculations, we can see that the letter O has the smallest difference between its theoretical and experimental probabilities, with a difference of only 0.0016.
Therefore, the letter O has the experimental probability that is closest to its theoretical probability.
To know more about probability, visit:
https://brainly.com/question/13604758
#SPJ1
Please help me, this question is so hard
The shaded portion of the rectangle is approximately 21.8% of the rectangle, rounded to the nearest 10th.
Describe Rectangle?In geometry, a rectangle is a four-sided polygon with four right angles (90-degree angles) and opposite sides that are parallel and congruent to each other. It is a special case of a parallelogram in which all angles are right angles.
The properties of a rectangle include:
Opposite sides are parallel and congruent.
All angles are right angles.
Diagonals are congruent and bisect each other.
The area of a rectangle is given by the formula A = lw, where l is the length and w is the width.
The perimeter of a rectangle is given by the formula P = 2l + 2w.
To solve this problem, we first need to find the areas of the shaded regions and the rectangle:
Area of rectangle = l × w = 26 × 16 = 416
Area of circle = (π × (d/2)²)/4 = (π × 4²)/4 = π
Area of pentagon = (5/2) × r² × sin(72°) = (5/2) × 5.5² × sin(72°) = 51.3
Area of right-angled triangle = (1/2) × h × d = (1/2) × 8 × 8 = 32
Total area of shaded region = Area of circle + Area of pentagon + Area of right-angled triangle = π + 51.3 + 32 ≈ 90.8
To find the percentage of the rectangle that is shaded, we divide the area of the shaded region by the area of the rectangle and multiply by 100:
Percentage of shaded region = (90.8/416) × 100 ≈ 21.8%
Therefore, the shaded portion of the rectangle is approximately 21.8% of the rectangle, rounded to the nearest 10th.
To know more about area visit:
https://brainly.com/question/19393352
#SPJ1
in 2001, the population of a district was 26,100. with a continuous annual growth rate of approximately 4%, what will the population be in 2026 according to the exponential growth function?
The population in 2026 according to the exponential growth function will be approximately 54,515.
According to the exponential growth function, what will be the population in 2026 if in 2001 the population of a district was 26,100 and with a continuous annual growth rate of approximately 4%?Given,
The population in 2001 = 26,100
Annual growth rate = 4%
Population growth function can be written as,
[tex]P(t) = P0e^rt[/tex]
Where,P(t) = Population after t years
P0 = Population at time t = 0
r = Annual growth rate (in decimal form)
t = Time (in years)
According to the given question,In the year 2026, the number of years from 2001 is,2026 – 2001 = 25 years
Therefore,t = 25 years
r = 4% = 0.04
Using these values in the population growth function,
[tex]P(t) = P0e^rt[/tex]
Population in 2026 = P(25)
[tex]P(25) = 26,100e^(0.04 x 25)[/tex]
P(25) = 26,100e
P(25) ≈ 54,515
for such more question on Population
https://brainly.com/question/25896797
#SPJ11
our local maternity ward delivers 1,500 babies per year. on the average, 5 beds in the maternity ward are filled. how long does the average mother stay in the maternity ward?
The average mother stays in the maternity ward when local maternity ward delivers 1,500 babies per year is equal to 1.22 days.
Total number of babies delivered by maternity ward per year = 1,500
⇒ Total number of patients = 1,500
On average number of beds filled in the maternity ward at any given time = 5
Total patient days per year is,
⇒ Total patient days = Average number of beds filled x Number of days in a year
Since there are 365 days in a year,
⇒Total patient days = 5 x 365
= 1,825
Use the formula,
Average length of stay = Total patient days / Total number of patients
⇒Average length of stay = 1,825 / 1,500
⇒Average length of stay = 1.22 days
Therefore, the average mother stays in the maternity ward for 1.22 days.
Learn more about average here
brainly.com/question/28948528
#SPJ4
please answer it i need to know what the value of x is and thank you so much
Answer:
54
Step-by-step explanation:
the angle measures of any triangle add up to 180 degrees, so we need to add all of the given measures and set it equal to 180.
(x) + (40) + (2x - 22) = 180
3x + 18 = 180
3x = 162
x = 54
Bo and Erica are yoga instructors. Between the two of them, they teach 43 yoga classes each week. If Erica teaches 11 fewer than twice as many as Bo, how many classes does each instructor teach per week?
Answer:
Erica teaches 32.33 or 32 classes
Bo teaches 10.67 or 10 classes
Step-by-step explanation:
B + E = 43
E - 11 = 2B
B + E = 43
E = 43 - B
E - 11 = 2B
(43 - B) - 11 = 2B
B = 10.67 = 10
B + E = 43
(10.67) + E = 43
E = 32.33 = 32
Graph the following inequality on a number line. Upload your picture.
x > 3
Answer:
x>3
Step-by-step explanation:
A weather station on the top of a mountain reports that the temperature is currently oc and has been falling at a constant rate of 3c per hour.if it continues to fall at this rate find each indicated temperature explain or show your reasoning
Therefore , the solution of the given problem of unitary method comes out to be the temperature will continue to drop at a rate of 3°C per hour, meaning that it will be 3°C colder .
What is a unitary method?The task may be completed using this generally accepted ease, preexisting variables, as well as any significant components from the original Diocesan customizable query. If so, you may have another opportunity to interact with the item. Otherwise, all significant factors that affect how algorithmic factor proof behaves will be gone.
Here,
=> T = -3t + 0
We need only change the value of t in the equation and simplify to determine the temperature at a particular moment.
For instance:
T equals 1 after one hour:
=> T = -3(1) + 0 T = -3
So, the weather is -3°C after an hour.
T equals 2 after two hours:
=> T = -3(2) + 0 T = -6
Thus, the temperature is -6°C after two hours.
T equals 3 after three hours:
=> T = -3(3) + 0 T = -9
So, the weather is -9°C after three hours.
so forth,
As a result, the temperature will continue to drop at a rate of 3°C per hour, meaning that it will be 3°C colder after each hour than it was the hour before.
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
The diagonal of a square is 10 inches long. What is the length, in inches, of each side of the square? Write the answer in simplified radical form.
The length of each side of the square is 5√2 inches
The diagonal of a square divides it into two 45-45-90 right triangles. In such triangles, the hypotenuse (which is the diagonal of the square) is √2 times as long as each leg. Let x be the length of each side of the square. Then we have
x√2 = 10
Solving for x, we get
x = 10 /√2
To simplify this expression, we can multiply both the numerator and denominator by √2
x = 10 /√2 × √2 /√2
Multiply the numbers
= 10√2 / 2
Divide the numbers
= 5√2 inches
Learn more about square here
brainly.com/question/3417399
#SPJ4