Answer:
x = -3
Step-by-step explanation:
x + 2/x = 4/3 - 1 (collect like terms)
The rest of the steps are in the screenshot.
carlos buys an envelope of mixed flower seeds. the envelope contains 55 seeds. of the plants that sprout, 19 have yellow flowers. about how many seeds would carlos most likely need to plant to get a total f 60 plants with yellow flowers?
174 seeds (approximately)
1) Gathering the data
55 seeds ------> 19 yellow flowers
2) Let's consider that this growth rate follows a proportion. So we can write:
55 seeds -----------> 19 yellow flowers
x ------------------------ 60 yellow flowers
Since it is a proportion, according to the fundamental principle of the Proportion we can cross multiply those ratios:
19x = 60*55
19x=3300
19x/19 = 3300/19
x =173.68
3) Hence, Carlos must sow about 174 seeds to most likely get 60 yellow flowes.
please please helpppppppppp
1.4678
Step-by-step explanation:
the answer to this question is 1.4678
Answer: 1.46779
Step-by-step explanation: i was about to do a whole tutoring session but i think i'll pass your answer is above
it has been observed that some persons who suffer colitis, again suffer colitis within one year of the first episode. this is due, in part, to damage from the first episode. the performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. in order to do this two groups of people suffering a first episode are selected. there are 55 people in the first group and this group will be administered the new drug. there are 45 people in the second group and this group will be administered a placebo. after one year, 11% of the first group has a second episode and 9% of the second group has a second episode. conduct a hypothesis test to determine, at the significance level 0.1, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode? select the [alternative hypothesis, value of the test statistic].
The value of the test statistic is 0.
The alternative hypothesis states that there is a difference between the true percentage of the first group who suffer a second episode and the true percentage of the second group who suffer a second episode.
The null hypothesis states that there is no difference between the true percentage
of the first group who suffer a second episode and the true percentage of the second group who suffer a second episode. Let us compute the value of the test
statistic
First, let us determine the proportion of people in each group who suffer a second episode:First group: p1 = 11/55 = 0.2Second group: p2 = 9/45 = 0.2
The sample proportion
of both groups is 0.2. Let us now calculate the standard error of the difference of proportions:SE(p1 - p2) = sqrt{ [p1(1 - p1) / n1 ] + [ p2(1 - p2) / n2 ] }= sqrt{ [0.2(0.8) / 55] + [0.2(0.8) / 45] }= sqrt{ 0.0029 + 0.0044 }= sqrt{ 0.0073 }= 0.0853
Now we can calculate the test statistic:Z = [(p1 - p2) - 0] / SE(p1 - p2)Z = [(0.2 - 0.2) - 0] / 0.0853Z = 0 / 0.0853Z = 0
The value of the test statistic is 0. The alternative hypothesis states that there is a difference between the true percentage of the first group who suffer a second episode and the true percentage of the second group who suffer a second episode. However, the test statistic is 0.
Therefore, there is no evidence to support the alternative hypothesis. The value of the test statistic is 0.
Learn more about statistics
https://brainly.com/question/31538429
#SPJ11
To calculate the test statistic, we can use the formula (p1 - p2) / sqrt((p1*(1-p1)/n1) + (p2*(1-p2)/n2)), where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.
Given that p1 = 0.11, p2 = 0.09, n1 = 55, and n2 = 45, we can substitute these values into the formula to find the test statistic:
Test statistic = (0.11 - 0.09) / sqrt((0.11*(1-0.11)/55) + (0.09*(1-0.09)/45))
To conduct a hypothesis test, we need to define our null and alternative hypotheses. In this case, our null hypothesis (H0) states that the true percentage of those in the first group who suffer a second episode is the same as the true percentage of those in the second group who suffer a second episode. Our alternative hypothesis (Ha) states that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode.
Next, we calculate the test statistic, which is the difference between the sample proportions of the two groups. The sample proportion for the first group is 11% (or 0.11), and for the second group is 9% (or 0.09). The test statistic can be calculated as (p1 - p2) / sqrt((p1*(1-p1)/n1) + (p2*(1-p2)/n2)), where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.
Substituting the values, the test statistic is (0.11 - 0.09) / sqrt((0.11*(1-0.11)/55) + (0.09*(1-0.09)/45)).
Finally, we compare the test statistic to the critical value at the significance level of 0.1. If the test statistic falls outside the critical value range, we reject the null hypothesis and conclude that there is reason to believe that the true percentages are different. Otherwise, we fail to reject the null hypothesis.
In this case, the alternative hypothesis is that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode. The value of the test statistic can be calculated using the formula provided above.
Learn more about statistic
https://brainly.com/question/31538429
#SPJ11
How long would it take R20000 invested today at a simple interest rate of 9% p.a. to reach an investment goal of R30000.
A Approximately 5.6 years
B Approximately 6.1 years
C Approximately 4.7 years
D Approximately 5.1 years
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)
factorize 16x^2 - 1\144
Answer:
(4x+1/12)(4x-1/12)
Step-by-step explanation:
16x²-1/144
(4x)²-(1/12)²
(4x+1/12)(4x-1/12) (since a²-b²=(a+b)(a-b)
The factorized form of expression \(16x^2 - \dfrac{1}{144}\) would be, \((4x - \dfrac{1}{12} ) (4x + \dfrac{1}{12} )\)
Used the concept of a quadratic equation that states that,
An algebraic equation with the second degree of the variable is called a Quadratic equation.
And, Use the formula,
(a² - b²) = (a - b) (a + b)
Given that a quadratic equation is,
\(16x^2 - \dfrac{1}{144}\)
The above expression is written as,
\(16x^2 - \dfrac{1}{144}\)
\((4x)^2 - (\dfrac{1}{12})^2\)
Apply the formula (a² - b²) = (a - b) (a + b);
\(= (4x - \dfrac{1}{12} ) (4x + \dfrac{1}{12} )\)
Therefore, the factors are \(= (4x - \dfrac{1}{12} ) (4x + \dfrac{1}{12} )\)
To learn more about the quadratic equation visit:
brainly.com/question/1214333
#SPJ6
what is positive number - positive number
2 − (+7) = ?
Answer:
-5
Step-by-step explanation:
2-(+7)
since the negetive is in front of the parenthesis the 7 turns into a negative
2-7
Seven is greater than two which means that the number will be in the negative section
-5
Use the Richter scale formula R = log (I / I0) to find the magnitude of an earthquake that has the following intensity. (a) 1,000 times that of I0 (b) 100,000 times that of I0
The magnitude of an earthquake that has the following intensity.
(a) 1,000 times that of I0 , R is 3.
(b) 100,000 times that of I0, R is 5.
What is ritcher scale?
The logarithm of the wave amplitude measured by seismographs is used to calculate the earthquake's Richter magnitude; adjustments are made to account for variations in the distances between different seismographs and the earthquake's epi-centre.
a) I = 1000. I₀
R = log(I / I₀)
= log(1000 I₀ / I₀)
= log(1000)
= log 10³
(i.e., log xⁿ = n log x)
= 3 log 10
R = 3
b) I = 100000 I₀
R = log(I / I₀)
= log(100000 I₀ / I₀)
= log(100000)
= log 10⁵
(i.e., log xⁿ = n log x)
= 5 log 10
R = 5
The magnitude of an earthquake that has the following intensity.
(a) 1,000 times that of I0 , R is 3.
(b) 100,000 times that of I0, R is 5.
To know more about magnitude check the below link:
https://brainly.com/question/30236238
#SPJ1
What is the length of the hypotenuse of the right triangle?
Answer:
scout is a group of noble youth
-8x=-56 one step help
Answer:
x=7
Step-by-step explanation:
divide both sides by -8
Answer:
Divide each term by −8 - 8 and simplify.
x = 7x = 7
PLSSS HELP A circle is cut from a square piece of cloth, as shown:
A square, one side labeled as 48 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.
How many square inches of cloth are cut from the square?
pie: (π = 3.14)
150.72 in2
192.00 in2
1,152.00 in2
1,808.64 in2
Anya has $25,000 which she recently received from a trust fund, which she intends to invest in an account earning 12% annually. a) How many years would it take Anya to accumulate $40,000. b) If Anya's goal is to save $40,000 in just 3 years, what rate of return must she earn annually on her account. Show all workings and formulae
a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.
a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:
Future Value = Present Value * (1 + interest rate)ⁿ
Where:
Future Value = $40,000
Present Value = $25,000
Interest rate = 12% = 0.12
n = number of years
Substituting the given values into the formula, we have:
$40,000 = $25,000 * (1 + 0.12)ⁿ
Dividing both sides of the equation by $25,000, we get:
(1 + 0.12)ⁿ = 40,000 / 25,000
(1.12)ⁿ = 1.6
To solve for n, we can take the logarithm of both sides of the equation:
n * log(1.12) = log(1.6)
Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:
n * 0.0492 = 0.2041
n = 0.2041 / 0.0492 ≈ 4.15
b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:
Future Value = Present Value * (1 + interest rate)ⁿ
$40,000 = $25,000 * (1 + interest rate)³
Dividing both sides of the equation by $25,000, we have:
(1 + interest rate)³ = 40,000 / 25,000
(1 + interest rate)³ = 1.6
Taking the cube root of both sides of the equation:
1 + interest rate = ∛1.6
Subtracting 1 from both sides, we get:
interest rate = ∛1.6 - 1
Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:
interest rate = 1.126 - 1 ≈ 0.126
To express the interest rate as a percentage, we multiply by 100:
interest rate = 0.126 * 100 = 12.6%
To know more about annual interest rate,
https://brainly.com/question/33696451
#SPJ11
I need help please help
Answer:
21u-16v+18w
Step-by-step explanation:
(7u-4v+4w) 14u-12v+14w
21u-16v+18w
Answer:
= 21u−16v+18w
Step-by-step explanation:
Let's simplify step-by-step.
7u−4v+4w−2(−7u+6v−7w)
Distribute:
=7u+−4v+4w+(−2)(−7u)+(−2)(6v)+(−2)(−7w)
=7u+−4v+4w+14u+−12v+14w
Combine Like Terms:
=7u+−4v+4w+14u+−12v+14w
=(7u+14u)+(−4v+−12v)+(4w+14w)
=21u+−16v+18w
Answer:
=21u−16v+18w
Evaluate the following?? Easy points
Answer:
c = 314
Step-by-step explanation:
c = d (3.14)
c = 100(3.14)
c = 314
hope this helps!!
Which panda was heavier when born
Answer: The one on the left.
Step-by-step explanation:
There is no file, but the panda on the left is bigger.
the body mass of a man is xkg.thebody mass of his two children are five-sixth and four_fifths of their father5 x over 6 + 4 x over 5 5 x over 6 + 4 x over 5
56/120
Step-by-step explanation:
The body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.
Let the body mass of the man be x kg.
The first child's body mass is five-sixths of their father's body mass:
Body mass of the first child = (5/6) * x
= 5x/6 kg.
The second child's body mass is four-fifths of their father's body mass:
Body mass of the second child = (4/5) * x
= 4x/5 kg.
Therefore, the body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
Learn more about the ratio here:
brainly.com/question/1504221
#SPJ4
How much salsa is missing from the jar?
Number 7 please
3. Find the rule for the function
table. 4 = ?
Answer:
4 = 12
Here is your answer.
Answer:
1x4=4
2x4=8
3x4=12
4x4=16
5x4=20
in a poll conducted by a certain research center, 1046 adults were called after their telephone numbers were randomly generated by a computer, and were able to correctly identify the
In a poll conducted by a certain research center, 1046 adults were called after their telephone numbers were randomly generated by a computer, and were able to correctly identify the random sampling.
Each sample has an equal chance of being chosen as part of the sampling technique known as random sampling. A randomly selected sample is intended to be a fair representation of the entire population.
In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a procedure for randomly choosing a sample.
Learn more about random sampling here
https://brainly.com/question/24466382
#SPJ4
Aeronautical researchers have developed three different processes to pack a parachute. They want to compare the different processes in terms of time to deploy and reliability. There are 1,200 objects that they can drop with a parachute from a plane. Using a table of random digits, the researchers will randomly place the 1,200 items into three equally sized treatment groups suitable for comparison.
How many unique random numbers need to be selected from the table of random digits?
3
400
800
1,200
From the table of number digits, 400 unique random numbers need to be selected.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Aeronautical researchers have developed three different processes to pack a parachute.
They want to compare the different processes in terms of time to deploy and reliability.
There are 1,200 objects that they can drop with a parachute from a plane. Using a table of random digits, the researchers will randomly place the 1,200 items into three equally sized treatment groups suitable for comparison.
That means,
1200/3 = 400.
Therefore, 400 unique numbers.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ1
7. Find the coordinates of a point on a circle with radius 20 corresponding to an angle of \( 305^{\circ} \)
Given that a circle with radius 20 has a corresponding angle of 305°.
To find the coordinates of a point on the circle, we use the formula:`(r cos (θ), r sin (θ))`Here, `r = 20` and `θ = 305°`.
Substituting the values of `r` and `θ` in the formula, we get:`(20 cos (305°), 20 sin (305°))`
Using the values of trigonometric ratios, we can write:cos(305°) = cos(360° - 305°) = cos(55°) ≈ -0.5736sin(305°) = sin(360° - 305°) = sin(55°) ≈ 0.8192
Hence, the coordinates of a point on a circle with radius 20 corresponding to an angle of 305° are approximately `(-11.47, 16.38)`.
The coordinates of a point on a circle with radius 20 corresponding to an angle of 305° are approximately `(-11.47, 16.38)`
To know more about coordinates visit:
https://brainly.com/question/32836021
#SPJ11
Sarah has $31,000 in a savings account. The interest rate is 8% per year. How much simple interest will she earn in 5 years?
Answer:
$12,400
Step-by-step explanation:
Interest = Principal x Rate x Time (in years)
I = 31000 x .08 x 5
I = 12,400
The table below shows a relationship between x and y that is not a function:
PLS HELP
Answer:
X 11 Y 11
Step-by-step explanation:
the last one need to be removed
What is the value of x? Round to the nearest tenths place.
Answer:
39^2-15^2=1296
/
put this number in a square root and it will give you=36
×=36
Step-by-step explanation:
hypotenuse minus short side it gives another short side
What are the roots of the polynomial equation x superscript 4 baseline x cubed = 4 x squared 4 x? use a graphing calculator and a system of equations.
Therefore, the roots of the polynomial equation \(x^4 - x^3 = 4x^2 + 4x\) are infinite, and it is not possible to find them precisely using a graphing calculator or a system of equations.
To find the roots of the polynomial equation \(x^4 - x^3 = 4x^2 + 4x\), we can utilize a graphing calculator and a system of equations. Here's how you can proceed: Rewrite the equation to bring all terms to one side:
\(x^4 - x^3 - 4x^2 - 4x = 0\)
Enter the equation into a graphing calculator or any equation-solving software. Look for the x-intercepts or roots of the equation on the graphing calculator. These are the values of x where the graph intersects the x-axis. Alternatively, we can solve the equation using a system of equations. Let's set up the system:
Consider the original equation:\(x^4 - x^3 = 4x^2 + 4x.\)
Rearrange the equation to bring all terms to one side:
\(x^4 - x^3 - 4x^2 - 4x = 0\)
Introduce a new variable, y, to create a system of equations:
\(x^4 - x^3 - 4x^2 - 4x = 0 (Equation 1)\)
\(y = x^4 - x^3 - 4x^2 - 4x (Equation 2)\)
Now, we can solve this system of equations by eliminating y. Subtract Equation 2 from Equation 1:
0 = 0
The result is always true, indicating that there is an infinite number of solutions. This suggests that the equation has infinitely many roots.
To know more about equation,
https://brainly.com/question/32639317
#SPJ11
A random variable is a. A variable that takes of values that are uncertain b. A variable that takes on known values c. A variable that is always zero d. A variable that takes on null values only
A random variable is a variable that takes on values that are uncertain or probabilistic in nature.
Therefore, the correct option is a) A variable that takes on values that are uncertain.
Random variables can be discrete, meaning they can only take on specific values, or continuous, meaning they can take on any value within a certain range.
These variables are commonly used in statistical analyses and probability theory to model various phenomena, such as the outcome of a dice roll or the height of individuals in a population.
For similar question on probability.
https://brainly.com/question/24855677
#SPJ11
In inferential statistics, we calculate statistics of sample data to:.
In inferential statistics, we calculate statistics of sample data to estimate the characteristics of the entire population from which the sample was taken. The process involves drawing inferences about a population from a random sample of data taken from that population.
The sample statistics are used to estimate the parameters of the population. To make an inference, we use a hypothesis test or confidence interval based on the sample statistics. The key to inferential statistics is random sampling, which allows us to make generalizations about the population based on the characteristics of the sample.
In order to ensure that the sample is representative of the population, we use a variety of sampling techniques, including simple random sampling, stratified sampling, cluster sampling, and systematic sampling.
Each of these techniques has its own advantages and disadvantages, and the choice of technique depends on the characteristics of the population being studied and the research questions being asked.
Once we have a representative sample, we use statistical methods to draw conclusions about the population. This allows us to make predictions and to test hypotheses about the population with a high degree of confidence.
To know more about Statistics visit :
https://brainly.com/question/32237714
#SPJ11
PLEASE ANSWER ASAP PLEASE I WILL GIVE YOU BRALNLLEST PLEEEEEEEEEASEEEEEEEEEEEEEEEEEEEEEE
Let’s examine division by zero. What do you think the solution to this division problem is? Explain how you solved it. You can check your answer by multiplying by the divisor, which in this case is 0, and then comparing it to the dividend which is 8.
Answer:
Undefined or original dividend
Step-by-step explanation:
Anything divided by zero is undefined or the original dividend
If you have 8 items and you split them into zero groups you have nothing
Consider the periodic function f(t) with fundamental interval −π ≤ t ≤ π that is defined by f(t) =(−2t−π for −π ≤ t < 0, 2t−π for 0 ≤ t < π, f(t + 2π) = f(t). (a) Sketch the graph of the function f for −3π ≤ t ≤ 3π, and hence state whether the function is even, odd, or neither even nor odd. [4] (b) Calculate the Fourier series for f(t)
The graph of the function f(t) for −3π ≤ t ≤ 3π can be sketched as follows:
For −π ≤ t < 0, f(t) = −2t − π, which forms a linear segment with a negative slope in the range from −π to 0.
For 0 ≤ t < π, f(t) = 2t − π, which forms a linear segment with a positive slope in the range from 0 to π.
The function repeats periodically with a fundamental interval of 2π, so the graph will continue to alternate between these two linear segments as t increases or decreases beyond the given range.
Based on the graph, we can observe that the function f(t) is an odd function because it exhibits symmetry about the origin. It satisfies the property f(-t) = -f(t) for all values of t.
(b) To calculate the Fourier series for f(t), we need to find the coefficients a0, an, and bn. The Fourier series for a periodic function f(t) is given by:
f(t) = a0/2 + Σ[ancos(nωt) + bnsin(nωt)]
In this case, the fundamental frequency ω = 2π/2π = 1, and the coefficients can be calculated as follows:
a0 = (1/π) * ∫[-π, π] f(t) dt = 0 (since f(t) is odd and the integral of an odd function over a symmetric interval is zero)
an = (1/π) * ∫[-π, π] f(t) * cos(nωt) dt = 0 (since the integrand is odd, the integral of the product with an even function is zero)
bn = (1/π) * ∫[-π, π] f(t) * sin(nωt) dt
For n = 1, we have:
bn = (1/π) * ∫[-π, π] f(t) * sin(t) dt
= (1/π) * [∫[-π, 0] (-2t - π) * sin(t) dt + ∫[0, π] (2t - π) * sin(t) dt]
Evaluating the integrals, we find:
bn = (1/π) * [-2∫[-π, 0] t * sin(t) dt - ∫[-π, 0] π * sin(t) dt + 2∫[0, π] t * sin(t) dt - ∫[0, π] π * sin(t) dt]
By integrating term by term, we can find the values of bn for n = 1 and higher.
Know more about graph of the function here;
https://brainly.com/question/26477609
#SPJ11
What is the surface area of the cylinder
Answer:
T. S. A. =2πrh+2πr2
V=Bh
V = Base×h
V= (lw) × h
V= lwh
American Vietnam War protests intensified when the United States and South Vietnamese forces invaded ________________.
American Vietnam War protests intensified when the United States and South Vietnamese forces invaded Cambodia in 1970.
In April 1970, President Richard Nixon authorized the expansion of the Vietnam War into neighboring Cambodia with the aim of disrupting North Vietnamese supply routes and bases. This decision sparked a wave of protests across the United States as it represented an escalation of the war and a widening of the conflict beyond the borders of Vietnam. The invasion of Cambodia led to a significant increase in anti-war demonstrations and rallies, with many people expressing their opposition to the expansion of the war effort.
This sparked outrage among anti-war activists who saw it as an escalation of the conflict and an unjustifiable expansion of the war. The protests led to widespread demonstrations, strikes, and student unrest across the country, ultimately contributing to a shift in public opinion against the war.
To know more about Vietnam War:
https://brainly.com/question/182779
#SPJ11