In 2006, the population of the country was 33.3 million. This represented an increase in population of 6.5% since 2001. What was the population of the country in 2001? Round to the nearest hundredth of a million.
Answers
The population of the country in 2001 to the nearest hundredth of a million is 24.31 million
What was the population in 2001?If the population grows by 6.5% every year, the population grows at a compound rate. The equation that can be used to determine the population in 2001 would be an exponential equation. The equation that can be used to represent an exponential equation is: a = \(mx^{b}\)
When a population grows at a compound rate, it means that both the existing population and the increase in the population increase by 6.5 every year.
The equation that can be used to determine the population of Tacoma in 2017 is:
P = FV / (1 + r)^n
Where:
FV = Future value P = Present populationR = rate of growthN = number of years : 2006 - 2001 = 533.3 / ( 1 + 0.065)^5
33.3 / (1.065^5) = 24.30503 million
In order to round 24.30503 million to the nearest hundredth , look at the thousandth figure, if it is greater or equal to 5, add one to the hundredth digit and change the thousandth digit to 0. So, 24.30503 million becomes 24.31 million
To learn more about future value, please check: https://brainly.com/question/18760477
#SPJ1
Related Questions
on monday and tuesday wednesday josh walked 2 1/4 mlies each day . on thursday he walked 3 2/5. on friday he walked 4 1/5 how many mlies did josh walk in toal for the five days
Answers
Answer:
No 1:85
no2:95
no3:96
no4 :78
no5:98
no6:100
no7:10999
no8:200
no9:48
no10:56
Find the angle between vector bold lower u equals 3 bold lower I plus start root 3 end root bold lower j and vector bold lower v equals negative 2 bold lower I minus 5 bold lower j to the nearest degree. A. 82° B. 38° C. 142° D. 98°
Answers
Answer:
C. 142°
Step-by-step explanation:
You want the angle between vectors u=3i+√3j and v=-2i-5j.
AngleThere are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:
u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest
You can find the angles of the vectors individually, and subtract those:
u = |u|∠α
v = |v|∠β
θ = α - β
When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:
\(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)
This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.
A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.
__
Additional comment
The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.
The dot-product relation will work with 3D vectors as well as 2D vectors.
<95141404393>
In a five number summary, which of the following is not used for data summarization? Group of answer choices The mean The largest value The smallest value The median
Answers
The mean is not used in the five number summary for data summarization. The five number summary is a descriptive statistics technique used to summarize a dataset.
It consists of five values: the minimum (smallest value), the first quartile (Q1), the median, the third quartile (Q3), and the maximum (largest value). These values provide information about the spread and central tendency of the data. The mean, also known as the average, is not included in the five number summary.
While the mean is a commonly used measure of central tendency, it is not part of the five number summary because it does not directly provide information about the spread of the data. Instead, the five number summary focuses on quartiles (which divide the data into four equal parts) and the extreme values. By using these five values, the summary provides a comprehensive snapshot of the dataset's distribution and helps identify potential outliers or skewness.
Learn more about quartile here: https://brainly.com/question/17198478
#SPJ11
Estimate a 15% tip on a dinner bill of $61.75 by first rounding the bill amount to the nearest ten dollars. What’s the estimated tip?
Answers
Answer:
Tip = $9
Step-by-step explanation:
Bill amount to nearest ten dollars = $60
\(tip = 15\% of 60 = \frac{15}{100} \times 60 = 9\)
If
f(x) = 4x + 3
and
g(x) =x-7
Find
f(g(x)) = [?]x+[
Answers
Answer:
f(g(x))=4x-25
Step-by-step explanation:
f(x)=4x+3
g(x)=x-7
f(g(x))=f(x-7)=4(x-7)+3=4x-28+3=4x-25
f(g(x))=4x-25
whats the inverse of f(x)= 2x-3
Answers
We have
\(f(x)=2x-3\)We have
y=2x+3
We replace x with y
x=2y-3
then we isolate the y and we obtain the inverse function is
\(\frac{x+3}{2}\)The domain is the set of all possible values that can have x , the domain of the inverse function is
\((-\infty,\infty)\)the range is the ser of values that can have y all the possible values in this case the range is
\((-\infty,\infty)\)is there another data point that would be reasonable to add, even though you made no measurements? if so, what is it?is there another data point that would be reasonable to add, even though you made no measurements? if so, what is it? (2m/s2,3n) (5m/s2,5n) (0m/s2,0n) none of the aboverequest
Answers
It is possible to add another data point that would be reasonable, even though no measurements were made. This data point could be an estimate or a prediction based on the existing data points. For example, if the existing data points show a linear relationship between acceleration and force, it would be reasonable to add a data point that falls along the same line.
One possible data point that could be added is (3m/s2, 4n). This data point falls between the existing data points (2m/s2, 3n) and (5m/s2, 5n), and would be a reasonable estimate based on the existing data.
Another possible data point that could be added is (7m/s2, 6n). This data point falls along the same line as the existing data points, and would be a reasonable prediction based on the existing data.
Overall, it is possible to add another data point that would be reasonable, even though no measurements were made, as long as the data point is based on the existing data and follows the same pattern or relationship.
Learn more about acceleration and force here
https://brainly.com/question/25071550
#SPJ11
Qué significa a^2 en matemáticas es la mi trabajo
Answers
In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.
How to illustrate with an example4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.
If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.
In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.
Read more about exponents here:
https://brainly.com/question/13669161
#SPJ1
The Question in English
What does a^2 mean in mathematics
find the quotient of 6y²-5y-56 and 2y-7.
help.
Answers
Answer:
i have made it in above picture
Please help! Check to see if I have all of them correct! Will mark brainlist
Answers
PLEASE HELP I WILL MARK YOU BRAINIEST PLEASE
At their last babysitting gig, Zainab made $44 for 8 hours of work and Keziah made $47.25 in 9 hours. Each girl charges a different hourly rate. For a 10 hour job, which girl will make more money? How much more?
Answers
Answers:
Zainab made more moneyShe made $2.50 more=======================================================
Explanation:
To find the hourly rate, we divide the money made over the number of hours.
Zainab's hourly rate = 44/8 = $5.50 per hourKeziah's hourly rate = 47.25/9 = $5.25 per hourThen we'll multiply each of these results by 10 to figure out how much they made over the 10 hours
Zainab: 5.50*10 = 55 dollarsKeziah: 5.25*10 = 52.50 dollarsWe see that Zainab made more money and she made 55-52.5 = 2.50 dollars more.
Please help you got ten min
DO IT STEP BY STEP
Answers
Step-by-step explanation:
(-3)(-5) answers are below:
-15
-8
+15
Answers
\(\text {Hello! Let's Solve this Problem!}\)
\(\text {To Solve this problem we must know that Multiplying a Negative to a Negative}\) \(\text {will equal a positive.}\)
\(\text {\underline {Multiply}}\)
\(\text {-3*-5=}\)
\(\text {Your Answer Would Be:}\)
\(\fbox {15}\)
\(\text {Best of Luck!}\)
\(\text {Also just remember when it comes to problems like these, think if it as 2 positive}\) \(\text {numbers. So really it's just 3*5}\)
can yall help me again plsssssssss!!!!!!!!!!!!!!!
Answers
After solving the given expression we get a = b = 12 and q = r = 24.
What is fractiοn?A fractiοn is a numerical quantity that represents a part οf a whοle οr a ratiο between twο quantities. It is written as a tοp number (numeratοr) οver a bοttοm number (denοminatοr), separated by a hοrizοntal line.
Tο subtract 2/3 - 1/4, we need tο find a cοmmοn denοminatοr fοr the twο fractiοns. The smallest cοmmοn denοminatοr is 12, sο we'll cοnvert each fractiοn tο an equivalent fractiοn with a denοminatοr οf 12:
2/3 = 8/12 (multiply bοth numeratοr and denοminatοr by 4)
1/4 = 3/12 (multiply bοth numeratοr and denοminatοr by 3)
Nοw we can subtract the twο fractiοns:
8/12 - 3/12 = 5/12
Sο 2/3 - 1/4 = 5/12.
Tο express the result as a fractiοn in the fοrm x/y, we can simply use the answer we fοund: x = 5, y = 12, sο:
2/3 - 1/4 = 5/12 = 5/12
Similarly, tο express the result as a fractiοn in the fοrm a/b, we need tο find anοther equivalent fractiοn with a cοmmοn denοminatοr. We can use 24 as a cοmmοn denοminatοr this time:
2/3 = 16/24 (multiply bοth numeratοr and denοminatοr by 8)
1/4 = 6/24 (multiply bοth numeratοr and denοminatοr by 6)
Nοw we can subtract the twο fractiοns:
16/24 - 6/24 = 10/24
Sο 2/3 - 1/4 = 10/24.
Tο express the result as a fractiοn in the fοrm a/b, we can simplify the fractiοn by dividing bοth numeratοr and denοminatοr by their greatest cοmmοn factοr, which is 2:
10/24 = (10 ÷ 2) / (24 ÷ 2) = 5/12
Sο we get a=b=12 and q=r=24.
To learn more about fraction from the given link
https://brainly.com/question/10354322
#SPJ1
what is the best approximation for the area of this circle? use 3.14 to approximate pi. responses
a.12.6 m²
b.25.1 m²
c.50.2 m²
d.158.0 m²
Answers
The best approximation for the area of this circle is approximately 50.2 m².Option (c) is the correct answer.
To determine the best approximation for the area of this circle, we need to use the formula for the area of a circle, which is given by A = πr².
Here, we are given the value of π to be approximately equal to 3.14.
Now, we need to determine the radius of the circle.
From the diagram, we can see that the diameter of the circle is 8 meters.
Therefore, the radius is half of this, which is 4 meters.
Substituting the values of π and r into the formula, we get: A = πr²= 3.14 × 4²= 3.14 × 16= 50.24 (to two decimal places)
Therefore, the best approximation for the area of this circle is approximately 50.2 m².Option (c) is the correct answer.
know more about area of this circle
https://brainly.com/question/28642423
#SPJ11
Which triangle is similar to the triangle above?
A.
Z
B.
Y
C.
W
D.
X
Answers
The triangle that is similar to the main triangle is the triangle with same angle with the main triangle.
What are similar triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
This means for two triangles to be similar, the corresponding angles must be equal and the ratio of the corresponding sides must be equal.
To find the similar triangle we find the triangle that have thesame angles with the main triangle, which is not shown.
learn more about similar triangles from
https://brainly.com/question/14285697
#SPJ1
A group of students at a high school took a standardized test. The number of students
who passed or failed the exam is broken down by gender in the following table.
Determine whether gender and passing the test are independent by filling out the
blanks in the sentence below, rounding all probabilities to the nearest thousandth.
Passed Failed
Male 25 10
Female 20 8
Answers
P(female) × P(fail) = 0.100 and P(female and fail) = 0.127, the two events are not equal so the events are dependent.
We can calculate the probabilities as follows:
Total number of students = 25 + 10 + 20 + 8 = 63
P(female) = Number of females / Total number of students
= 20 / 63
= 0.317
P(fail) = Number of students who failed / Total number of students
= (10 + 8) / 63
= 0.317
P(female and fail) = Number of female students who failed / Total number of students
= 8 / 63
= 0.127
Since P(female) × P(fail) = (0.317) × (0.317) = 0.100 and P(female and fail) = 0.127, the two events are not equal so the events are dependent.
Therefore, based on the calculations, we can conclude that gender and passing the test are dependent events, not independent.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ1
What is given to be congruent in this picture? **May be multiple answers!!***
A
х
А
с
A ABC 2A XYZ
BC=YZ
Answers
Answer:
ΔCBA ≅ ΔZYX
ΔBCA ≅ ΔYZX
BA ≅ YX
AC ≅ XZ
Step-by-step explanation:
8x-4y=-27 in slope intercept form
Answers
Answer:
y=2x-27/4
Step-by-step explanation:
Answer:
\(y=2x+\frac{27}{4}\)
Step-by-step explanation:
The slope-intercept form is \(y=mx+b\)
\(m\) = slope
\(b\) = y-intercept
−4y = -27 − 8x subtract \(8x\) from both sides
\(y=2x+\frac{27}{4}\) divide each term by \(-4\) and simplify.
Shortest
3.09 miles
3.75 miles
3.9 miles
3.5 miles
3.05 miles
Longest
Answers
Answer:
Okie Dokie
Step-by-step explanation:
short to long
3.05 < 3.09 < 3.5 < 3.75 < 3.9
The shortest distance is 3.05 miles, while the Longest is 3.9 miles.
What is the value in ordering number according to their measure?
Ordering numbers according to their measure allows us to arrange them in increasing or decreasing order, providing a systematic way to compare and analyze their magnitudes.
Arranging the given distances from shortest to longest -
3.05 miles
3.09 miles
3.5 miles
3.75 miles
3.9 miles
Learn more about distance at:
https://brainly.com/question/26046491
#SPJ2
N. 1 and 7/10 gallons of gasoline were used to drive 25 and 1/2 miles. How many
miles per gallon did the car get?
miles per gallon
Answers
Answer:
Similar to the question: They figure that they will drive 792 miles round trip. If their car gets 25 miles per gallon and the current cost of gasoline is $2.35, what will the gas for their trip cost? $74.45 George is taking the same trip to San Antonio (792 miles)
Step-by-step explanation:
Hope it helps :)
A farmer in Georgia has a 100-acre farm on which to plant watermelons and cantaloupes. Every acre planted with watermelons requires 50 gallons of water per day and must be prepared for planting with 20 pounds of fertilizer. Every acre planted with cantaloupes requires 75 gallons of water per day and must be prepared for planting with 15 pounds of fertilizer. The farmer estimates that it will take 2 hours of labor to harvest each acre planted with watermelons and 2.5 hours to harvest each acre planted with cantaloupes. He believes that watermelons will sell for about $3 each, and cantaloupes will sell for about $1 each. Every acre planted with watermelons is expected to yield 90 salable units. Every acre planted with cantaloupes is expected to yield 300 salable units. The farmer can pump about 6,000 gallons of water per day for irrigation purposes from a shallow well. He can buy as much fertilizer as he needs at a cost of $10 per 50-pound bag. Finally, the farmer can hire laborers to harvest the fields at a rate of $5 per hour. If the farmer sells all the watermelons and cantaloupes he produces, how many acres of each crop should the farmer plant in order to maximize profits?
Required:
a. Formulate an LP model for this problem.
b. Sketch the feasible region for this model.
c. Find the optimal solution to the problem using level curves.
Answers
The feasible region will be the intersection of all the constraints.
The contour lines represent equal levels of profit, and the highest contour line corresponds to the maximum profit.
a. The LP model for this problem can be formulated as follows:
Let x be the number of acres planted with watermelons, and y be the number of acres planted with cantaloupes.
Objective function: Maximize profit
Maximize Z = 3(90x) + 1(300y) - (20x + 15y) - (2x + 2.5y)(5)
Subject to the following constraints:
1. Water constraint: 50x + 75y ≤ 6000 (gallons)
2. Fertilizer constraint: 20x + 15y ≤ total available fertilizer (pounds)
3. Labor constraint: 2x + 2.5y ≤ total available labor (hours)
4. Non-negativity constraint: x ≥ 0, y ≥ 0
b. The feasible region for this LP model can be visualized as a polygon in the xy-plane. The constraints form the boundaries of this region. The water constraint represents a line, the fertilizer constraint represents another line, and the labor constraint represents yet another line. The non-negativity constraints restrict the feasible region to the positive quadrant (x ≥ 0, y ≥ 0). The feasible region will be the intersection of all these constraints.
c. To find the optimal solution using level curves, we can plot the contours of the objective function Z on the feasible region. By identifying the highest contour value within the feasible region, we can determine the optimal solution. The contour lines represent equal levels of profit, and the highest contour line corresponds to the maximum profit.
By analyzing the level curves and identifying the highest contour line, we can determine the optimal values of x (acres of watermelons) and y (acres of cantaloupes) that maximize the profit. These values will provide the farmer with the ideal allocation of acres for each crop to maximize their overall profitability.
Learn more about feasible region here:
https://brainly.com/question/30795461
#SPJ11
A magazine asks its readers to complete a brief survey and respond by mailing back their responses in an envelope. This survey may be biased because
Answers
The magazine asks its readers to complete a survey and respond by mailing.
The fact that the survey could be biased can only be that occurs a problem with the delivery.
With this argument, we can discard the other options, having in mind the context.
Then, the correct answer is A.
PLS ANSWER FAST!! WILL GIVE BRAINLIEST!! 15 POINTS!!!
Answers
Answer:
b, d
Step-by-step explanation:
Evaluate for a = 2 and b = 3.
(b - a)2
Answers
Answer:
2
Step-by-step explanation:
Given that a=2 and b=3,
(3-2)×2
Hence,
1x2 = 2
for the given scenario, determine the type of error that was made, if any. (hint: begin by determining the null and alternative hypotheses.) a pharmaceutical company claims only 2%2% as the percentage of people taking a particular drug that experience significant side effects. one researcher claims that the percentage of people taking a particular drug that experience significant side effects is different from 2%2%. the researcher conducts a hypothesis test and fails to reject the null hypothesis. assume that in reality, the percentage of people taking a particular drug that experience significant side effects is 1%1%. was an error made? if so, what type?
Answers
Yes, Type II error was made. Failing to reject the null hypothesis when it is false.
To determine the type of error that was made in this scenario, we need to examine the null and alternative hypotheses, as well as the conclusion of the hypothesis test.
Null hypothesis (H0): The percentage of people taking the drug that experience significant side effects is 2%.
Alternative hypothesis (H1): The percentage of people taking the drug that experience significant side effects is different from 2%.
The researcher conducts a hypothesis test and fails to reject the null hypothesis. This means that the test does not provide enough evidence to conclude that the percentage of people experiencing significant side effects is different from 2%.
However, we are given that in reality, the percentage of people experiencing significant side effects is 1%.
Based on this information, an error was made in the hypothesis test. The researcher failed to reject the null hypothesis when it should have been rejected.
The type of error made in this case is a Type II error. This occurs when the null hypothesis is true, but the researcher fails to reject it based on the available evidence. In other words, the researcher incorrectly concluded that the percentage of people experiencing significant side effects is not different from 2%, when in fact it is different (1%).
To know more about Type II error, refer here:
https://brainly.com/question/32609769
#SPJ4
Besties helpppp please FASTTT
Answers
Answer:
180
Step-by-step explanation:
area of a trapezoid = \(\frac{a+b}{2}h\)
where a = base 1
b = base 2
and h = height
This is what we are given
base 1 = 23
base 2 = 37
and height = 6
That being said we plug in the given values into the formula
\(A=\frac{37+23}{2} 6\\23+37=60\\\frac{60}{2} =30\\30*6=180\)
Hence the area of the trapezoid is 180 square feet
6,782.4 round nearest whole number
Answers
Answer: 6,782
Step-by-step explanation: Since 4 is less than 5, you do not change the number resulting in the answer being 6,782
Answer:
6780
Step-by-step explanation:
How do you find Cosine when using trig?
Answers
Answer:
cosine= adjacent
hypotenuse
Answer:
adjacend/hypotonus
Step-by-step explanation:
When you want to find the cosine of an angle, you would divide the ajasent side by the hypotonus. You can remember soh cah toa for all the trig funtions. Hope this helps!
An automatic machine in a manufacturing process is operating groperly if the iengths of an important subcomponent are normally distributed with a mean of izal cri and a otandard deviation of 5.6 cm. A. Find the probability that one selected subcomponent is longer than 122 cm, Probability = B3. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 122 cm. Probability win C. Find the probabilify that if 3 are randomly selected, ail 3 have lengths that exceed 122 cm. Probability =
Answers
A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.
z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)
Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.
B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.
The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.
Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm
Now we can calculate the z-score for a mean length of 122 cm:
z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)
Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.
C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.
Probability = (0.9999)^3 ≈ 0.9997
Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.
Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.
To know more about probability follow the link:
https://brainly.com/question/251701
#SPJ11