Answer:
linear
Step-by-step explanation:
linear means to have a straight line.
When principal = Rs x, Time = y years and Rate = z% per year, calculate the simple interest.
Answer:
X×Y×Z%/100
Step-by-step explanation:
using formula
si=p×t×r%/100
According to a CBS news poll, 73% of the 321 randomly selected adults aged 18-30 favor allowing gay and lesbian couples to marry legally compared to 53% of the 562 randomly selected adults of all ages that favor such legalization, a difference of 20%. To compute the likelihood that you'd see such a difference or more just due to the luck of the draw, you first need to calculate the SE of the 2 samples.
Required:
In the young adult poll 73% favored gay marriage. Calculate the SE for this percentage.
To calculate the standard error (SE) for the percentage of young adults who favor gay marriage, we need to consider the sample size and the proportion of individuals in the sample who favor gay marriage.
The formula for calculating the standard error (SE) of a sample proportion is SE = sqrt((p * (1 - p)) / n), where p is the sample proportion and n is the sample size.
In this case, the sample proportion is given as 73% or 0.73, and the sample size is 321 young adults. Substituting these values into the SE formula, we get SE = sqrt((0.73 * (1 - 0.73)) / 321).
To calculate the SE, we first calculate (0.73 * (1 - 0.73)) to get 0.1979. Dividing this value by the sample size of 321 and taking the square root, we find that the SE for the percentage of young adults who favor gay marriage is approximately 0.0211.
Therefore, the standard error (SE) for the percentage of young adults who favor gay marriage, based on the CBS news poll data, is approximately 0.0211 or 2.11%. The SE provides an estimate of the variability or margin of error associated with the sample proportion.
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EASY QUESTION FOR 10 POINTS
8(2y-7)=9(3y-14) +15
Answer:y=5
Step-by-step explanation:
16y-56=27y-126+15
16y-56=27y-111
16y=27y-55
-11y=-55
y=5
There are 35 students in a drama club two out of every five boys in the club are boys how much diamonds in the club are boys
Given:
Number of students = 35
Two out of every five boys in the club are boys.
To find:
The number of students in the club that are boys.
Solution:
Two out of every five boys in the club are boys. It means, the ratio of boys to the total number of student is 2:5.
Let the number of boys be 2x and number of students be 5x.
According to the question,
\(5x=35\)
\(x=7\)
Now, the number of boys is
\(2x=2(7)\)
\(2x=14\)
Therefore, 14 students in the club are boys.
Simplify the expression, show all of your work: 5+4^2-10 divided by 2x3
Answer:
\(\frac{58}{3}\)
Step-by-step explanation:
5 + 4^2 - 10 divided by 2x3
5+16 - \(\frac{10}{6}\)
21-\(\frac{10}{6}\)
\(\frac{58}{3}\)
Can someone please explain this question. Please give a step by step explanation
Answer:
45
Step-by-step explanation:
8 numbers summed and divided by 8 = 41
8numberssummed / 8 = 41
8numberssummed = 41 * 8 = 328
now taking out two numbers whose mean is 29 is the same as taking out two 29's from the sum ....so now there are SIX numbers
6numberssummed = 8numberssummed - 29 -29
= 328 -29 -29 = 270
so to find the mean of the remaining six numbers:
6numberssummed / 6 is 270/6 = 45
Answer:
mean = 45
Step-by-step explanation:
mean is calculated as
mean = \(\frac{sum}{count}\)
given the mean of 8 numbers is 41 , then
\(\frac{sum_{8} }{8}\) = 41 ( multiply both sides by 8 )
sum₈ = 328
given the mean of 2 of the numbers is 29 , then
\(\frac{sum_{2} }{2}\) = 29 ( multiply both sides by 2 )
sum₂ = 58
Then
sum₆ = sum₈ - sum₂ = 328 - 58 = 270
then the mean of the other six numbers is
mean = \(\frac{sum_{6} }{6}\) = \(\frac{270}{6}\) = 45
How to calculate interest rate for deposit 1000 at 0. 2%.
The temperature at midnight was −11°C. By midday, the temperature was 5°C.
What was the temperature during the morning?
Explain what method you used to find the temperature change.
Answer:
-3 celcius
Step-by-step explanation:
Answer:
6 ℃
Step-by-step explanation:
by substacring u will see it
mike draws five cards from a standard 52-card deck. what is the probability that he draws a card from at least three of the four suits? express your answer as a simplified fraction.
Mike draws five cards from a standard 52-card deck. The probability that he draws a card from at least three of the four suits is 89.5% (approx),
The number of ways to draw all five cards from a single suit = C(13,5)
There are four ways to accomplish this = C(4,1)
The number of ways to draw five cards from two suits.
We'd like to start by selecting one of four suits = C(4,1)
We want to select three cards from one of these = C(13.3)
Then we'll pick one of the three remaining suits = C(3,1)
We want to choose any two cards from this suit = C(13,2)
And the number of ways to select any five cards is = C(52, 5)
So the likelihood of selecting 5 cards from two suits is =
[C(4,1) × C(13,5) + C(4,1) × C(13,3) × C(3,1) × C(13,2)]/C(52,5)
The likelihood of selecting 5 cards from two suits is = 1749/16660
So, the probability of drawing 5 cards from at least 3 suits = 1 - 1749/16660
The probability of drawing 5 cards from at least 3 suits = 14911/ 16660
The probability of drawing 5 cards from at least 3 suits = 89.5% (approx)
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a. write the estimated regression model equation
b. interpret regression model coefficients
c. Are the intercept and slope significant in the model?
d. If an employee has 3.3 years of experience, predict the average annual salary using simple regression evidence.
To predict the average annual salary for an employee with 3.3 years of experience, you would substitute the value of 3.3 for X in the estimated regression model equation and solve for Y.
In general, a regression model equation takes the form:
Y = b0 + b1*X
where Y is the dependent variable, X is the independent variable, b0 is the intercept coefficient, and b1 is the slope coefficient.
To interpret the regression model coefficients, you would need to consider their values, signs (positive or negative), and statistical significance. The coefficients indicate the relationship between the independent variable(s) and the dependent variable. Positive coefficients indicate a positive relationship, while negative coefficients indicate a negative relationship. The significance of the coefficients is determined through hypothesis testing, typically using p-values.
To predict the average annual salary for an employee with 3.3 years of experience, you would substitute the value of 3.3 for X in the estimated regression model equation and solve for Y.
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WILL MARK BRAINLIEST IF CORRECT!
Two experiments are conducted to determine the mass of an object.
-In Experiment 1, you place the object on an electronic balance and read the object's weight.
-In Experiment 2, you apply a constant force to pull the object along a horizontal surface, while using a motion detector to measure the object's speed as it is pulled.
All frictional forces for both experiments are considered to be negligible. Which of the two experiments, if either, could be used to determine the gravitational mass of the object?
a. Experiment 2 only
b. Experiment 1 only
c. Neither experiment
d. Both experiments
Answer:
b I think is the right answer.
Graph y = – 3x + 6 using the interactive graphing calculator. Which of the following statements are true?
The line increases from left to right.
The line crosses the x-axis at –3.
The line crosses the y-axis at 6.
As the input increases, the output decreases.
The line does not enter quadrant II at all.
The point (3.5, –4.5) lies on the line.
Step-by-step explanation:
I attached a pic of the graph
the line crosses the y axis at 6
as the input increases, the output decreases
Answer: I know its late but I'm sill going to put it for anyone who needs it in the future. :)
Step-by-step explanation:
A right triangle is shown below.
4√2 m
45°
Find the lengths of the missing sides
vertical leg
m
horizontal leg
45°
m
Answer:
Dang, too difficult. Anyways,
In a right triangle, if one angle is 45 degrees, it means that the other two angles must be 45 degrees as well, making it an isosceles right triangle. Given that the length of one leg is 4√2 m, we can determine the lengths of the missing sides using the properties of an isosceles right triangle.
Since an isosceles right triangle has two equal legs, the lengths of the vertical leg and horizontal leg will be the same. Let's denote the length of each leg as "m."
Using the Pythagorean theorem, we can find the length of the hypotenuse (the side opposite the right angle) in terms of "m":
hypotenuse^2 = leg^2 + leg^2
hypotenuse^2 = m^2 + m^2
hypotenuse^2 = 2m^2
To find the length of the hypotenuse, we take the square root of both sides:
hypotenuse = √(2m^2) = √2 * m
Therefore, the length of the hypotenuse is √2 * m.In summary, for the given isosceles right triangle with one leg measuring 4√2 m, both the vertical leg and horizontal leg will have a length of "m," while the length of the hypotenuse will be √2 * m.
max rides his scooter toward kim and then passes her at a constant speed. his distance in feet, d, from kim t seconds after he started riding his scooter is given by d
The distance, d, in feet from Kim t seconds after Max started riding his scooter is given by the equation d = st, where s is the constant speed at which Max is riding his scooter.
To find the distance, d, we need to multiply the speed, s, by the time, t. Since Max passes Kim at a constant speed, the distance he travels is directly proportional to the time elapsed.
Therefore, the equation d = st represents this relationship, where d is the distance, s is the speed, and t is the time.
The equation d = st allows us to calculate the distance, d, from Kim t seconds after Max started riding his scooter, provided we know the constant speed, s, at which Max is traveling. By multiplying the speed by the time, we can determine how far Max has traveled from Kim at any given moment. This equation assumes that Max maintains a constant speed throughout his journey and that the speed does not change.
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Round 3,996 to the nearest ten thousand
Answer:
0
Step-by-step explanation:
3996 is closer to 0 than 10,000
Here are six number cards.
-7 -5 -3 3 1 -1
Arrange the cards into three pairs with the same total.
Note: Please write each pair on separate lines and
use the word "and" between the numbers (eg. 7 and -3)
Answer:
-1 and -3
-5 and 1
-7 and 3
they all equal -4.
Step-by-step explanation:
Look at the line graphed below.
Which equation can be used to graph all the points on the line?
�
=
2
�
y=2x
�
=
�
+
1
y=x+1
�
=
�
−
1
y=x−1
�
=
2
�
−
1
y=2x−1
Answer:
y = x + 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (8, 9) ← 2 points on the line
m = \(\frac{9-2}{8-1}\) = \(\frac{7}{7}\) = 1
the line crosses the y- axis at (0, 1 ) ⇒ c = 1
y = x + 1 ← equation of line
Please help me with my math
Answer: Read attachment.
Step-by-step explanation: Attached below is my work. Hope it helps!
PLEASE HEEEEEEEEELP ME............
Answer:What do you need help with? My name is woods245 and whatever you need help with?
Step-by-step explanation:
HELP ITS ABOUT ANGLES :((((
Answer:
its D. 2 and 3
Step-by-step explanation: supplementary angles are angles that add up to 180 (or that make a straight line) the angle pairs that make a straight line are 1 and 2, 2 and 3, 3 and 4, and 4 and 1.
So D would be correct
Central conservative forces: (a) Consider the force F= r2kr^ : Is this force conservative? Is it central? If it is conservative find the potential energy V(r). For full marks you need to justify your answer and explain any assumptions that you make.
The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force
To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.
A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:
∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.
Calculating the components of F = r^2k(r^):
Fx = 0, since there is no force component in the x-direction.
Fy = 0, since there is no force component in the y-direction.
Fz = r^2kr^.
Taking the partial derivatives, we have:
∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.
∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.
Substituting these values into the curl equation, we get:
∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).
Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.
Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).
For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.
Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.
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Please help me with this question
8v-4(v+8)=8
Answer:
v = -6
Step-by-step explanation:
(Optional): Simplify this equation by dividing all terms by 4:
2v - (v - 8) = 2
Perform the indicated multiplication, obtaining: 2v - v + 8 = 2
Next, combine like terms: v = -6
Compare the three data sets on the right: 11121314151617 111213- 151647 121314151617 Which data set has the greatest sample standard deviation? Dala set (iii) , because has more entries that are close Ine mean Data set (Ii) , because has more entries Ihat are farther avay from the mean Data set () because has [wo entrius that ar0 far away from tho moan; Which data set has the least sample standard deviatlon? Data set (iii) , because has more entries that are close Ine mean Data set (i), because has less entries that are farther away Irom the mean Data set (ii) . because has more entries Ihat are farther away from (he mean: (b) How are the data sets the same? How do they differ? rcan; modian and mode but have different standard doviabons: The three data sets have the same Samu standard deviations but have dilferent means The throo data sots have the same mean and modu but have diffaront medians standard deviabons.
The correct answer is as follows: a) The data set that has the greatest sample standard deviation is Data set (ii).
b) Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.
(a) The data set that has the greatest sample standard deviation is Data set (ii).
The sample standard deviation is a measure of the amount of variation or dispersion of a set of data values.
In this case, Data set (ii) has more entries that are farther away from the mean, which results in a larger standard deviation.
(b) The data sets are the same in terms of containing the same numbers (11, 12, 13, 14, 15, 16, and 17).
However, they differ in terms of the order in which these numbers are arranged.
In addition, they differ in terms of the mean, median, mode, and standard deviation.
For example, Data set (ii) has the largest mean and mode, but the smallest median and the largest standard deviation.
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For a general Cobb-Douglas Production Function y = axb, what must be true of the signs and possibly magnitudes of the parameters, a and b, so that the function is a well-behaved production function? Provide mathematical proofs and word explanations in your answer.
[Hint: Start with listing the properties and solve for the range of parameters a and b that make the C-D function meet the four properties.]
For the Cobb-Douglas Production function to be well-behaved, a must be positive (a > 0), and b must be greater than zero (b > 0) and less than one (b < 1).
To understand the conditions for a well-behaved Cobb-Douglas production function, let's examine each property in detail. Firstly, a must be positive (a > 0) to guarantee positive output for positive inputs. Negative values of a would result in negative output, which is not desirable in a production function.
Secondly, the marginal product of x (MPx) should be positive. By taking the derivative of the production function with respect to x, we obtain MPx = \(bax^{(b-1)}\). For MPx to be positive, both a and b need to be greater than zero (a > 0 and b > 0).
Thirdly, diminishing marginal returns occur when the marginal product of x decreases as x increases. This condition is satisfied when b < 1. If b ≥ 1, the marginal product of x remains constant or increases, violating the principle of diminishing returns.
Lastly, constant returns to scale are observed when scaling up all inputs by a factor of λ results in the same factor of increase in output. This condition is met when the sum of the exponents (b) for all inputs equals 1, i.e., ∑b = 1.
In conclusion, a well-behaved Cobb-Douglas production function requires a > 0, b > 0, b < 1, and ∑b = 1. These conditions ensure positive output, positive marginal product of x, diminishing marginal returns, and constant returns to scale, making it a useful and reliable production function.
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What is
(2x - 5)(x + 4)
Answer:
2 · x² - 20
Step-by-step explanation:
2x - 5 · x + 4
2x · x - 20
2x² - 20
2 · x² - 20
A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.
This value represents the present worth below which the probability is 0.5, indicating a negative present worth.
To estimate the probability that the present worth is negative using the NORM.INV function in Excel,
we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.
The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).
Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),
where t is the year. We then sum up these present values for each year.
We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.
Since we have a mean and standard deviation for the present worth,
we can calculate the corresponding probability of a negative present worth using NORM.INV.
This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,
we can estimate the probability that the present worth is negative based on the given data and assumptions.
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You know from geometry that the sum of three angles in a triangle is equal to 180. you are given a triangle in which angle b measures 5 more than twice angle a in the triangle. angle c measures 11 less than 3 times the measure of angle a. what is the measure of the small angle, middle angle and the largest angle of this triangle?
The measure of the smallest angle is 31°, the middle angle is 67°, and the measure of the largest angle is 82°.
A triangle is a plane shape with three edges and three vertices. All triangles have three internal angles, and the addition or sum of these angles gives 180°. In the question above, the three angles of the triangle are not given, though, we are given some clues as to how we can find them:
First angle:Not much is said about the first angle, so we'll call it angle a.
Second angle:We are told that the second angle (angle b) is 5 more than twice
angle a. The '5 more' means '5+' twice the value of angle a. Thus;
angle b = 5 + 2a
Third angle:The third angle, angle c is 11 less than 3 times the measure of angle
a, meaning that angle c is 3 times angle a minus 11, thus;
angle c = 3a - 11
The addition of angle a, angle b and angle c gives 180°, hence:
a + 5 + 2a + 3a - 11 = 180°
a + 2a + 3a + 5 - 11 = 180°
6a -6 = 180
6a = 180 + 6
6a = 186
Dividing both sides by 6,
a = 31°
Now that we know the value of angle a, angle b will be
5 + 2(31) = 67°
and angle c is
3(31) - 11 = 82°
Hence, the measure of the smallest angle, angle a is 31°, the middle angle, angle b is 67°, and the largest angle, angle c is 82°.
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a drawer in a darkened room contains 100100 red socks, 8080 green socks, 6060 blue socks and 4040 black socks. a youngster selects socks one at a time from the drawer but is unable to see the color of the socks drawn. what is the smallest number of socks that must be selected to guarantee that the selection contains at least 1010 pairs? (a pair of socks is two socks of the same color. no sock may be counted in more than one pair.)
The smallest number of socks that must be selected is 2023.
How to calculate smallest number of socks that must be selected?Red socks = 100100
Green socks = 8080
Blue socks = 6060
Black socks = 4040
Because, the drawer has 4 types of socks. So if you choose 5 socks then you have at least 1 pair. Now, you have 3 unpaired socks and 1 pair of socks, if you choose 2 more socks it will guarantee you at least 1 more pair of socks. Repeat this process until you get 1010 pairs. Mathematically you can calculate with this formula,
smallest number = previously selected + select 2 more socks × (total pairs required - 1 pair already existing)
= 5 + 2 × (1010 - 1)
= 5 + 2 × 1009
= 5 + 2018
= 2023
Thus, the smallest number of socks that must be selected is 2023.
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Solve for the value of s.
(s+1)°
(2S-1)°
Answer
90*
Step-by-step explanation:
Answer:
s = 30
Step-by-step explanation:
The three angles lie on a line.
The sum of angles on a line are supplementary, meaning they add up to 180 degrees.
s + 1 + 90 + 2s - 1 = 1803s = 90s = 30What is the measure of angle x
Answer:
x=85 °
x+55+40=180. ( straight line angle)
x=180-95
x=85.