A country's population in 1990 was 59 million. In 2002 it was 63 million. Estimate the population in 2018 using exponential growth formula. Round your answer to the nearest million
Find the value of -7 + (-9) + 11 + 8
express 15 x^1/3y^1/5 using a radical
Answer:
[tex]15\cdot\sqrt[3]{x}\cdot \sqrt[5]{y}[/tex]
Step-by-step explanation:
We have been given an expression [tex]15x^{\frac{1}{3}}y^{\frac{1}{5}[/tex]. We are asked to express our given expression using a radical.
Using fractional exponent rule [tex]a^{\frac{m}{n}}=\sqrt[n]{a^m}[/tex], we can write terms of our given expression as:
[tex]15\cdot\sqrt[3]{x^1}\cdot \sqrt[5]{y^1}[/tex]
[tex]15\cdot\sqrt[3]{x}\cdot \sqrt[5]{y}[/tex]
Therefore, our required expression would be [tex]15\cdot\sqrt[3]{x}\cdot \sqrt[5]{y}[/tex].
What is the ratio of 5 gallons blue paint to 9 gallons of yellow paint?
If prices increase at a monthly rate of 0.5%, by what percentage do they increase in a year?
What is the formula to solve?
We have been given that prices increase at a monthly rate of 0.5%.
Number of months in a year = 12
Let us suppose the item cost $1, then the percentage is given by
[tex]P=P_0(1+r)^n\\ \\ P=1(1+0.005)^{12}\\ \\ P=1.062[/tex]\\
Therefore, increase in a year is
[tex]1.062-1\\ =0.062[/tex]
Therefore, the required percentage in a year is 6.2%
Which solution to the equation (1/x-1)=(x-2/2x^2 -2) is extraneous?
a. x=1 and x=-4
b. nether x=1 or x=-4
c. x=1
d. x=-4
Kim is a single woman in her mid-20s working while taking college credits to earn a bachelors degree. She is financing her education herself through both her income and taking out student loans. Her earnings in 2010 were $30,000 before taxes. She paid $5000 intuition and paid $350 interest on her student loan. In filing her state tax return form Kim takes a deduction for tuition paid and the interest paid on the loan. In taking these two deductions by how much did she lower taxable income? What is her taxable income now? What is her marginal tax rate? What will she owe in taxes for 2010?
Which of the following comparisons is False
A..... 5.c is Warner than 5.F
B......15.c is cooler than 60.F
C........30.c is Warner than 90.F
D.......35.c is cooler than 100.F
from the sum of 5 – 9i and -4 + 7i, subtract 14 – 3i. brainly
You have been asked to calculate the break-even point for a new line of souvenir t-shirts. the selling price will be $25 per shirt. the labor costs will be $5 per shirt. the administrative costs of operating the company are estimated to be $60,000 annually and the sales and marketing expenses are $20,000 a year. additionally, the cost of materials will be $10 per shirt. what is the break-even quantity?
Which algebraic expression represents “the bagels were divided equally into fifteen bags”?
15 + b
157b
Which algebraic expression represents “the bagels were divided equally into fifteen bags”?
a. 15 + b
b. 157b
c. 15/b
d. b/15
Answer:
Option D [tex]\frac{b}{15}[/tex]
Step-by-step explanation:
Let
b-----> the number of bagels
we know that
To find the algebraic expression of "the bagels were divided equally into fifteen bags" , divided the number of bagels by fifteen
so
[tex]\frac{b}{15}[/tex]
Professor smith conducted a class exercise in which students ran a computer program to generate random samples from a population that had a mean of 50 and a standard deviation of 9 mm. each of smith's students took a random sample of size n and calculated the sample mean. smith found that about 68% of the students had sample means between 48.5 and 51.5 mm. what was n? (assume that n is large enough that the central limit theorem is applicable.)
Using the Normal distribution, the Empirical rule and the Central limit theorem, it is found that n is 36.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. The empirical rule states that 68% of the measures are within 1 standard deviation of the mean.The central limit theorem states that for sampling distribution of sample means of size n, the standard deviation is [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]In this problem, since 68% of the students had sample means between 48.5 and 51.5 mm, we have that:
When X = 51.5, Z = 1.When X = 48.5, Z = -1.Using one of them, we can find the standard error. So:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1 = \frac{51.5 - 50}{s}[/tex]
[tex]s = 1.5[/tex]
Then, since [tex]\sigma = 9[/tex], the sample size is found solving the following equation:
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]1.5 = \frac{9}{\sqrt{n}}[/tex]
[tex]1.5\sqrt{n} = 9[/tex]
[tex]\sqrt{n} = \frac{9}{1.5}[/tex]
[tex](\sqrt{n})^2 = (\frac{9}{1.5})^2[/tex]
[tex]n = 36[/tex]
n is 36.
A similar problem is given at https://brainly.com/question/13002303
Hey can you please help me posted picture of question
Tom shoveled 12.5 yards of sand in 2.5 hours. At that rate how many yards did he shovel in one hour?
A marble is drawn at random from the bag. The bag contains 3 green, 4 yellow, 5 blue, and 8 pink marbles. What is the probability that the marble drawn is a green or blue? Type a numerical answer in the space provided. Use the / key to represent the fraction bar. Do not type spaces in your answer.
how do you know if two lines are parallel?
Given z, find |z| -4+5i
*Please help, will thank and award brainliest*
Which costs are paid by the origination fee?
A. Title search
B. Attorney and notary fees
C. Credit check and administrative costs associated with loan processing
D. Property appraisal
Answer:
The answer "attorney and notary fees" made me get the question wrong on brainly. The correct answer it showed me after I got it wrong was C. Credit check and administrative costs associated with loan processing
Step-by-step explanation:
Solve the equation by completing the square x^2-18x+58=0. is it
A. x= -9+-√23
B. x= -9+-√139
C. x= 9+-√139
D. x= 9+-√23
Answer:
x = 9 ±√23
Step-by-step explanation:
Find the x-intercepts of the parabola with vertex (1, -9) and y intercept at (0, -6).
Amber believes triangle ABC and triangle GFE are congruent. She has recorded the measures of some of the angles and the lengths of some of the sides in the triangles below.
What additional measurement would support Amber’s hypothesis?
a.The measure of c is 32
b.The measure of c is 40
c.The measure of c is 50
d.The measure of c is 90
Answer:
B
Step-by-step explanation:
Jenna bought n notebooks which cost 5 dollars each, and 3 pens which cost r dollars each. How much money did she spend?
A teacher took a survey and found that 16 of 25 students liked a certain snack item best. Make a prediction of how many students liked the snack item best if there are 225 students.
please answer the question in the picture above
PLEASE PLEASE HELP ASAP
10 POINTS
The graph below shows the price, y, in dollars, of different amounts of pounds of cheese, x: A graph titled Cheese Prices shows Number of Pounds on x axis and Price in dollars on y axis. The scale on the x axis shows numbers from 0 to 12 at increments of 2, and the scale on the y axis shows numbers from 0 to 72 at increments of 12. A straight line joins the ordered pairs 0, 0 and 12, 72 Which equation best represents the relationship between x and y? y = x + 6 y = 12x y = x + 12 y = 6x
The answer to the question is y=6x
What is the value of the function f(x)= -x+4 when x= -2?
A) 6
B) -6
C) -2
D) 2
Assume we have a calendrical system in which leap years happen every four years, no matter what. In a 150-year period, what is the maximum possible number of leap years?
In a calendrical system where leap years occur every four years without any exceptions, there would be 37 leap years in a 150-year period.
Explanation:In a calendrical system where leap years occur every four years without exception, the number of leap years in a 150-year period can be calculated with a simple division operation. This is because every 4 years there is a leap year consistent with the rules of this calendar system.
To calculate the maximum number of leap years in a 150-year period, you would divide 150 by 4 as this represents the frequency of leap years. This results in a total of 37.5. Given that a half year cannot be a leap year, we eliminate the fraction and we have 37 leap years.
While the Gregorian calendar also has a leap year every four years, there are exceptions for century years not divisible by 400. But since the question specified a system without such rule, there would be more leap years in this system compared to the Gregorian calendar for the same period of time.
Learn more about Leap Years here:https://brainly.com/question/25143066
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which of the following is the maximum value of the function y=-2x^2+5
A factory's worker productivity is normally distributed. one worker produces an average of 77 units per day with a standard deviation of 22. another worker produces at an average rate of 66 units per day with a standard deviation of 19.
a. what is the probability that in a single day worker 1 will outproduce worker 2?
The probability that worker 1 will outproduce worker 2 in a single day is approximately 0.352 or 35.2%.
To find the probability that worker 1 will outproduce worker 2 in a single day, we need to compare their production rates using their respective means and standard deviations.
Let X be the production of worker 1 and Y be the production of worker 2. We are interested in finding P(X > Y).
Given:
Worker 1: X ~ N(77, 22^2)
Worker 2: Y ~ N(66, 19^2)
First, we standardize the variables:
Z1 = (X - 77) / 22
Z2 = (Y - 66) / 19
Now, we find P(X > Y) = P(X - Y > 0):
= P((X - 77) - (Y - 66) > 0)
= P((X - Y) > (77 - 66))
Now, we find the mean and standard deviation of the difference:
Mean of (X - Y) = 77 - 66 = 11
Standard deviation of (X - Y) = sqrt(22^2 + 19^2) = sqrt(484 + 361) = sqrt(845) ≈ 29.07
Now we standardize the difference:
Z = (11 - 0) / 29.07 ≈ 0.378
Finally, we find the probability using the standardized normal distribution table:
P(Z > 0.378) ≈ 0.352
So, the probability that worker 1 will outproduce worker 2 in a single day is approximately 0.352 or 35.2%.
the probability that Worker 1 will outproduce Worker 2 in a single day is approximately 0.7202 or 72.02%.
To find the probability that Worker 1 will outproduce Worker 2 in a single day, we can use the z-score formula for normal distributions.
The z-score formula is given by:
[tex]\[ z = \frac{{X - \mu}}{{\sigma}} \][/tex]
Where:
- ( X ) is the value we want to find the z-score for (in this case, Worker 1's productivity).
- [tex]\( \mu \)[/tex]is the mean (average) productivity.
- [tex]\( \sigma \)[/tex] is the standard deviation.
For Worker 1:
- [tex]\( X_1 = 77 \)[/tex] units per day (average productivity)
- [tex]\( \mu_1 = 77 \)[/tex]units per day (average productivity)
- [tex]\( \sigma_1 = 22 \)[/tex] units per day (standard deviation)
For Worker 2:
-[tex]\( X_2 = 66 \)[/tex]units per day (average productivity)
- [tex]\( \mu_2 = 66 \)[/tex]units per day (average productivity)
- [tex]\( \sigma_2 = 19 \)[/tex] units per day (standard deviation)
First, we find the z-score for Worker 1's productivity relative to Worker 2's productivity:
[tex]\[ z = \frac{{X_1 - \mu_2}}{{\sigma_2}} = \frac{{77 - 66}}{{19}} = \frac{{11}}{{19}} \approx 0.579 \][/tex]
Next, we look up the z-score in the standard normal distribution table or use a calculator/tool that can calculate probabilities from the standard normal distribution. The z-score of 0.579 corresponds to a probability of approximately 0.7202.
Therefore, the probability that Worker 1 will outproduce Worker 2 in a single day is approximately 0.7202 or 72.02%.