Citizen registration and voting varies by age and gender. The following data is based on registration and voting results from the Current Population Survey following the 2012 election. A survey was conducted of adults eligible to vote. The respondents were asked in they registered to vote. The data below are based on a total sample of 849. • We will focus on the proportion registered to vote for ages 18 to 24 compared with those 25 to 34. • The expectation is that registration is lower for the younger age group, so express the difference as P(25 to 34) - P(18 to 24) • We will do a one-tailed test. • Use an alpha level of .05 unless otherwise instructed. The data are given below. Age Registered Not Registered Total 18 to 24 58 51 109 25 to 34 93 47 140 35 to 44 96 39 135 45 to 54 116 42 158 55 to 64 112 33 145 65 to 74 73 19 92 75 and over 55 15 70 Total 603 246 849 If we want to conduct a hypothesis test for the difference of the proportion registered for 18 to 24 compared with 25 to 34, and this difference is equal to zero, what is the standard error? O SQRT[(-5321 .4679)/109 + (.6643*.3357)/140] O SQRT[(6081.3919)/97 +(6081*.3919)125] O 0659 O SQRTIL6064*.3936)/109+ (.6064.3936)140)
Answers
Standard error of difference of proportion in 18 to 24 and 25 to 34 is `0.0659`.
Solution: It is given that, P(25 to 34) - P(18 to 24) We will do a one-tailed test. Use an alpha level of .05 unless otherwise instructed.
Standard error can be calculated using the following formula:\[\large SE = \sqrt{\frac{\hat{p_1}(1-\hat{p_1})}{n_1} + \frac{\hat{p_2}(1-\hat{p_2})}{n_2}}\]Where, \[\large\hat{p_1}\] is the sample proportion of population 1, \[\large\hat{p_2}\] is the sample proportion of population 2, \[\large n_1\] is the sample size of population 1, \[\large n_2\] is the sample size of population 2.
Here, sample proportion of population 1 (18 to 24) is 0.5321 and sample proportion of population 2 (25 to 34) is 0.6643.So, Standard error can be calculated as:\[\large SE = \sqrt{\frac{0.5321(1-0.5321)}{109} + \frac{0.6643(1-0.6643)}{140}}\]\[\large = \sqrt{\frac{0.2487}{109} + \frac{0.2223}{140}}\]\[\large = 0.0659\]So, the standard error of difference of proportion in 18 to 24 and 25 to 34 is `0.0659`.Option C is correct.
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Related Questions
Write in C++
Let l be a line in the x-y plane. If l is a vertical line, its
equation is x = a for some real number a. Suppose l is not a
vertical line and its slope is m. Then the equation of l is y =
Answers
To write a C++ program that handles the different cases of the equation of a line, you can use an if-else statement to check whether the line is vertical or not. Here's an example implementation:
```cpp
#include <iostream>
int main() {
float m, a;
std::cout << "Enter the slope of the line: ";
std::cin >> m;
if (m == 0) {
std::cout << "The line is horizontal. The equation is y = c" << std::endl;
}
else if (std::isinf(m)) {
std::cout << "The line is vertical. Enter the x-intercept: ";
std::cin >> a;
std::cout << "The equation of the line is x = " << a << std::endl;
}
else {
std::cout << "The line is not vertical. Enter the y-intercept: ";
std::cin >> a;
std::cout << "The equation of the line is y = " << m << "x + " << a << std::endl;
}
return 0;
}
```
In this code, the user is prompted to enter the slope of the line. Then, it checks whether the slope is zero (indicating a horizontal line), infinite (indicating a vertical line), or neither. Depending on the case, the appropriate equation is displayed.
If the slope is zero, it means the line is horizontal, and the program outputs the equation as "y = c", where "c" represents the y-intercept.
If the slope is infinite (indicating a vertical line), the program prompts the user to enter the x-intercept and outputs the equation as "x = a", where "a" represents the x-intercept.
For any other slope value, the program prompts the user to enter the y-intercept and outputs the equation as "y = mx + a", where "m" is the slope entered by the user and "a" is the y-intercept.
Note: The code assumes that the user will enter valid numeric inputs. You may need to add additional error handling or input validation for robustness.
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Which system of inequalities is represented by the graph?
Answers
The following system of inequalities is represented by the graph
x+y>3
-x+y< -4
What is inequality?
An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
Consider the inequalities:
x+y>3-------(1)
-x+y< -4------(2)
Find x and y intercepts of both by considering them as equations by using equal sign in the place of inequality sign
x+y=3-------(3)
-x+y= -4------(4)
Find x and intercepts of these 2 equations:
we get x intercept when y=0 ( substitute y=0 into the respective equations and find x)
we get y intercept when x=0 ( substitute x=0 into the respective equations and find y)
x intercept of (3) is (3,0)
y intercept of (3) is (0,3)
x intercept of (3) is (4,0)
y intercept of (3) is (0,-4)
plot these points on a the plane and join them with lines
use dotted line and shade under the lines because of less than symbol
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A university department installed a spam filter on its computer system. During a 21-day period, 6693 messages were tagged as spam. How much spam you get depends on what your online habits are. Here are the counts for some students and faculty in this department (with log-in IDs changed, of course): ID Count ID Count ID Count ID Count AA 1818 BB 1358 CC 442 DD 416 EE 399 FF 389 GG 304 HH 251 || 251 JJ 178 KK 158 LL 103 All other department members received fewer than 100 spam messages. How many did the others receive in total? Make a graph and comment on what you learn from these data. .
Answers
The number of people who received fewer than 100 spam messages in the university department is calculated below:
Total number of messages tagged as spam = 6693
Total number of people = 12
Total number of people who received more than 100 spam messages = 11
Number of people who received fewer than 100 spam messages = 1
The number of people who received fewer than 100 spam messages can be calculated by subtracting the total number of people who received more than 100 spam messages from the total number of people in the department.
Thus, the other 1 person received a total of: 6693 - (1818 + 1358 + 442 + 416 + 399 + 389 + 304 + 251 + 251 + 178 + 158 + 103) = 474
Graph illustrating the data collected from students and faculty in the department. it is clear that the majority of students and faculty members in the department received more than 100 spam messages. One person received fewer than 100 spam messages. The number of spam messages received seems to decrease with time, which may indicate that the spam filter is effective.
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Pls i need answer I’m really confused with this question
Answers
Answer:
answer choice 2
Step-by-step explanation:
10+4(19)=86
The weight of an aspirin tablet is 300 mg according to the bottle label. An Food
and Drug Administration (FDA) investigator weighs seven tablets and obtained the
following weights: 299; 300; 305; 302; 299; 301, and 303 mg. Should the investigator
reject the claim?
(a) Set up the null and alternative hypothesis for this test;
(b) Find the test-statistics;
(c) Find the p-value;
(d) The critical limits for a signicance level of 1% and
(e) What are your conclusions about the investigators claim?
Answers
A- The null hypothesis and alternative hypothesis is 300, b- test statistic is 1.91, p- value is 0.1745, critical limits is ± 3.707, e - there is not enough evidence.
a) The null hypothesis (H₀) for this test is that the average weight of the aspirin tablets is 300 mg, and the alternative hypothesis (H₁) is that the average weight is different from 300 mg (two-tailed).
Given data:
Sample size (n) = 7
Degrees of freedom (df) = n - 1 = 6
Sample mean ) = 301.29 mg
Sample standard deviation (s) = 2.2147 mg
To calculate the standard error (SE):
SE = s / √n = 2.2147 / √7 ≈ 0.8365 mg
b) Calculate the test statistic (t):
t = (x - µ) / SE = (301.29 - 300) / 0.8365 ≈ 1.91
c) Calculate the p-value:
Since the degrees of freedom is 6, we need to compare the absolute value of the test statistic to the t-distribution with 6 degrees of freedom.
p-value = 0.1745 (from t-table )
α= 0.01
d) Given α = 0.01:
The critical value, tc, for a significance level of 1% and 6 degrees of freedom is approximately ± 3.707.
Comparing the test statistic (t = 1.91) to the critical value (tc = ± 3.707):
Since |t| < tc, we fail to reject the null hypothesis (H₀).
e) Based on the provided data, we do not have enough evidence to reject the claim that the average weight of the aspirin tablets is 300 mg.
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Suppose a company wants to introduce a new machine that will produce a marginal annual savings in dollars given by S '(x)= 175 - x^2, where x is the number of years of operation of the machine, while producing marginal annual costs in dollars of C'(x) = x^2 +11x. a. To maximize its net savings, for how many years should the company use this new machine? b. What are the net savings during the first year of use of the machine? c. What are the net savings over the period determined in part a?
Answers
a) To maximize its net savings, the company should use the new machine for 7 years. b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar). c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).
Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.
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____ : referring to the fact that the distance between two or more points is equal.
Answers
The term that refers to the fact that the distance between two or more points is equal is "equidistant".
In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.
Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.
The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.
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PLS HELP!!!
SNOWBOARDING Manuel wants to go snowboarding with his friends. The closest ski and snowboard resort is approximately 20 miles west and 50 miles north of his house. Manuel picks up his friend who lives 15 miles south and 10 miles east of Manuel's house. How far away are the two boys from the resort?
Answers
The two boys are far away from the resort and distance measured about 35.81m.
The Pythagoras Theorem's fundamental formula is what?The Pythagoras theorem equation is written as c² = a² + b², with c denoting the hypotenuse of the right triangle and a and b denoting the other two legs. So, any triangle that has a 90° angle creates a Pythagoras triangle, which can then be solved using the Pythagoras equation.
We must first use the Pythagoras theorem to determine how far the resort is from Manuel's home.
S₁ = √50²+20²
S₁ = √2500+400
S₁ = √2900
S₁ = 53.85m.
The distance between Manuel's house and his friend's house must then be calculated.
S₂ = √15²+10²
S₂ = √225+100
S₂ = √325
S₂ = 18.03m.
The displacement of the two boys will be,
∆S = S₁-S₂
∆S = 53.84-18.03
∆S = 35.81m.
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The two boys are far away from the resort and the distance measured about 35.81 m.
The Pythagoras Theorem's fundamental formula is what?The Pythagoras theorem equation is written as c² = a² + b², with c denoting the hypotenuse of the right triangle and a and b denoting the other two legs. So, any triangle that has a 90° angle creates a Pythagoras triangle, which can then be solved using the Pythagoras equation.
We must first use the Pythagoras theorem to determine how far the resort is from Manuel's home.
S₁ = √50²+20²
S₁ = √2500+400
S₁ = √2900
S₁ = 53.85m.
The distance between Manuel's house and his friend's house must then be calculated.
S₂ = √15²+10²
S₂ = √225+100
S₂ = √325
S₂ = 18.03m.
The displacement of the two boys will be,
∆S = S₁-S₂
∆S = 53.84-18.03
∆S = 35.81m.
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In two distinct acute triangles ABC and DEF, ZBZE. AABC A DEF are congruent when ther is a sequence of rigid motions that maps
which of the following?
ZA onto ZD, and ZC onto ZF
AC onto DF, and BC onto EF
Point A onto Point D, and AB onto DE
ZC onto ZF, and BC onto EF
Answers
The correct answer is Point A onto Point D, and AB onto DE.Since the triangles are congruent, we know that they have the same shape and size.
what is congruent?
In mathematics, congruent means having the same size and shape. In geometry, two figures are congruent if they have the same size and shape, which means that all corresponding sides and angles are equal.
In the given question,
Based on the given information, we know that triangle ABC and triangle DEF are distinct acute triangles such that ZBZE. We are also told that AABC is congruent to ADEF, and we need to determine which sequence of rigid motions maps the triangles onto each other.
The correct answer is Point A onto Point D, and AB onto DE.
Since the triangles are congruent, we know that they have the same shape and size. Therefore, we need to find a sequence of rigid motions that will map one triangle onto the other.
The first step is to map point A onto point D, which can be done with a translation. The second step is to map AB onto DE, which can be done with a rotation about point D. This sequence of rigid motions will map triangle ABC onto triangle DEF.
Option 1, ZA onto ZD and ZC onto ZF, does not necessarily map the rest of the triangles onto each other.
Option 2, AC onto DF and BC onto EF, is incorrect because it only maps two sides of the triangle and does not guarantee congruence.
Option 4, ZC onto ZF and BC onto EF, also does not necessarily map the rest of the triangles onto each other.
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The following are the rating of male by female in an experiment involving peed dating. Ue the given data to contruct a boxplot and identify the 5-number ummary. 1. 0 1. 5 2. 5 3. 0 4. 0 4. 0 4. 5 4. 5 4. 5 4. 5 4. 5 5. 0 5. 0 5. 5 5. 5 5. 5 6. 0 6. 0 6. 5 6. 5
Answers
1.0, 3.5, 5, 6.5, 10 are the 5 number summary of the given table.
How do you find the 5 number summary?
When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values. Finding the smallest data value (minimum), the 25th percentile (Q1 - the first quartile), the median (25th percentile, Q2, the second quartile), the 75th percentile (Q3 - the third quartile), and the highest data value will yield the data set's five-number summary (maximum). The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half.
Smallest value = 1.0
Median of the first half data Q1 = 3.5
Median Q2= 5.0
Median of the second half data Q3 = 6.5
Largest number = 10.0
The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.
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Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic,
P-value, critical value(s), and state the final conclusion.
Test the claim that for the population of female college students, the mean weight is given
by u = 132 lb. Sample data are summarized as n = 20, x = 137 lb, and s = 14.2 lb. Use a
Answers
The test statistic is at α = 0.10 we have sufficient evidence that means weight is given by μ = 132 lb.
What is p-value?
The p-value, used in null-hypothesis significance testing, represents the likelihood that the test findings will be at least as extreme as the result actually observed, presuming that the null hypothesis is true.
As given,
State the hypothesis,
Ha: μ = 132
Ha: μ ≠ 132 (two failed test)
Test satisfies:
As σ is unknown we will use t-test satisfies
t = (x - μ)/(s/√n)
Substitute values,
t = (137 - 132)/(14.2/√20)
t = 1.57
t satisfies is 1.57.
Critical values,
P(t < tc) = P(t < tc) = 0.05
using t table at df = 19
tc = ±1.729
So value is tc = (-1.729, 1.729)
P-value:
P(t > ItstatI) = p-value
P(t > I1.57I) = p-value
Using t-table
p-value = 0.1329
given
α = 0.10
So, p-value < α
Do not reject Null hypothesis.
Conclusion:
At α = 0.10 we have sufficient evidence that means weight is given by μ = 132 lb.
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Find f(2) if f(x)=(x+1)^2
a.6
b.9
c.5
Answers
Answer:
b. 9
Step-by-step explanation:
f(2) if f(x)=(x+1)^2
= (2 + 1)^2 = (3)^2 = 9
i hope its help
The table shows the relationship between the number of calories Darrell Burns while kayaking and the number of minutes he kayaks
How many calories will Darrell burn in 1 minute while kayaking? Please I need help :(
Answers
The number of calories that Darrell will burn in 1 minute while kayaking is given as follows:
4 calories.
How to obtain the number of calories?The number of calories that Darrell will burn in 1 minute while kayaking is obtained applying the proportions in the context of the problem.
For each input-output pair in the table, the constant of proportionality is of 4, hence the number of calories that Darrell will burn in 1 minute while kayaking is given as follows:
4 calories.
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Find m_ABD and mZCBD given m ABC = 77º. A (3x + 22) D 16 (5x - 17) B C mZ ABD |° and mZCBD
Answers
Answer:
∠ ABD = 49°, ∠ CBD = 28°
Step-by-step explanation:
∠ ABD + ∠ CBD = ∠ ABC , substitute values
3x + 22 + 5x - 17 = 77 , that is
8x + 5 = 77 ( subtract 5 from both sides )
8x = 72 ( divide both sides by 8 )
x = 9
Thus
∠ ABD = 3x + 22 = 3(9) + 22 = 27 + 22 = 49°
∠ CBD = 5x - 17 = 5(9) - 17 = 45 - 17 = 28°
talkalot corp. incurs a cost of $350 to produce one unit of a cell phone. the company’s management has priced the product at $600 in the market. considering the technological advancement of the cell phone, customers perceive its value to be around $800. what is the economic value created in this scenario?
Answers
Considering the technological advancement of the cell phone, customers perceive its value to be around $800. In this scenario, the economic value created is $450.
We can solve this by,
Cost: The expenses incurred by a firm while producing goods or providing services are known as cost.
Product: The item that is produced, processed, or delivered for sale is known as a product.
Value: The economic value of a product is determined by how much it is valued in the marketplace, which is a function of how much people are willing to pay for it. In the given scenario,
Talkalot Corp. Incurs a cost of $350 to produce one unit of a cell phone. The company's management has priced the product at $600 in the market. Considering the technological advancement of the cell phone, customers perceive its value to be around $800.
As per the scenario, the value created is:
The value created = Perceived value - Cost Value created
= $800 - $350
The value created = $450
Therefore, the economic value created in this scenario is $450.
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please help ASAP! 7th grade
Answers
Since their were no numbers to the questions i had to write it by the problem
Circle with 9 feet question
C=2(pi)r or C=(pi)d
Circular table question
A=(pi)r^2
Interest question
I=Prt
Volume of a rectangular prism
V=Bh
Triangular pyramid
V=1/3Bh
prove the following statement by mathematical induction: "2 −7 12 ≥0 for all integers ≥3." clearly label your steps, as done in rosen section 5.1 (section 4.1 of rosen6).
Answers
By mathematical induction the statement "2 -7 12 ≥0 for all integers ≥3" is true.
To prove the statement using mathematical induction, we must show that it is true for n=3, and assume that it is valid for n=k.
Then, we must demonstrate that it is true for n=k+1.
Most importantly, we must indicate the necessary mathematical steps in the induction proof in order to show that it is true.
Step 1: Base Case: When n = 3,2-7(3)+12 = -1, which is greater than or equal to 0.
Therefore, the statement is valid for n = 3.
Step 2: Inductive Hypothesis:
Suppose that the statement is valid for some n = k ≥ 3, i.e., 2 - 7k + 12 ≥ 0.
Step 3: Inductive Step
We will show that if the statement is true for n = k, it is also true for n = k + 1.
When n=k+1,2 - 7(k+1) + 12 = -5 - 7k ≤ -5 + 0 since k≥3 from the hypothesis = -5 + (5 + 3k - 3k) = -0 which is greater than or equal to 0 since -0 = 0.
This implies that the statement is also valid for n=k+1.
Since the statement is valid for n=3, and since we have shown that the statement is valid for n=k implies that the statement is valid for n=k+1,
we can conclude by mathematical induction that the statement "2 -7 12 ≥0 for all integers ≥3" is true.
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Part I: Initial-Value ODE [25 points] Solve the following initial value problem over the interval from t= 0 to t= 0.5 with a step size h= 0.25 where y(0) = -1 y + 3y = 3t2 + 2t - 7e4t = (a) Using Heun method with 2 corrector iterations. Calculate ea for the corrector steps. (b) Using midpoint method. (c) Using the classical 4th order Runge-Kutta method.
Answers
Part I: Initial-Value ODE [25 points]The given initial value problem isy + 3y = 3t² + 2t - 7e^(4t)y(0) = -1We have to solve this IVP over the interval from t = 0 to t = 0.5 with a step size h = 0.25.(a) Using Heun's method with 2 corrector iterations and calculating ea for the corrector steps:
Given differential equation is: y' = f(t, y) = 3t² + 2t - 7e^(4t)
Using Heun's method:yi+1 = yi + 1/2[f(ti, yi) + f(ti+1, yi+1predicted)]
Corrector Step 1:yi+1corrected = yi + 1/2[f(ti, yi) + f(ti+1, yi+1predicted)]
correctedError = |yi+1corrected - yi+1predicted|/|yi+1corrected|Corrector
Step 2:yi+1corrected(corrected) = yi + 1/2[f(ti, yi) + f(ti+1, yi+1corrected)]
correctedError(corrected) = |yi+1corrected(corrected) - yi+1corrected|/|yi+1corrected(corrected)
|Heun's method is as follows:\(t yi f(ti, yi) yi+1predicted yi+1corrected Error Error(corrected)0 -1 -7 -0.875 -0.4375 0.880.750.375 -1.78125 -8.23177 -2.04102 -1.39258 0.680.540.50.375 -3.00043 -12.5999 -4.06543 -3.05713 0.250.210.25.\)
(b) Using the midpoint method:
The midpoint method is as follows:\(yi+1 = yi + hf(ti+1/2, yi+1/2)Here, f(ti+1/2, yi+1/2) = f(ti + h/2, yi + hf(ti, yi)/2)Using the midpoint method, we get the following:t yi f(ti, yi) yi+1-0.25 -1 -7 -2.125-0.5 -1.78125 -8.23177 -4.13672-0.75 -3.00043 -12.5999 -6.79433-1 -5.17912 -28.0768 -10.4063\)
(c) Using the classical 4th order Runge-Kutta method:
Using the classical 4th order Runge-Kutta method, we get the following:t yi k1 k2 k3 k4 yi+1-0.25 -1 -7 -8.015 -6.77432 -7.48217 -2.13791-0.5 -1.34845 -6.17686 -6.51693 -5.94256 -6.54763-0.75 -2.19458 -9.28314 -9.78967 -8.90143 -9.81199-1 -4.6187 -23.6365 -23.7656 -20.3093 -28.0768
The above problem belongs to the field of Differential equations. Differential equations describe the relationship between the rates of change of various quantities. They are used to model various physical phenomena such as the rate of decay of radioactive material, the spread of a disease, the flow of a fluid, etc.
In the above problem, we are given a differential equation y' = f(t, y) = 3t² + 2t - 7e^(4t) and an initial value y(0) = -1. We are asked to solve this IVP over the interval from t = 0 to t = 0.5 with a step size h = 0.25. We have solved this problem using three different methods - Heun's method with two corrector iterations, the midpoint method, and the classical 4th order Runge-Kutta method.
Each of these methods provides us with a different approximation of the solution. The Heun's method with two corrector iterations is the most accurate, while the midpoint method provides the least accurate solution.
The classical 4th order Runge-Kutta method provides an approximation that is slightly more accurate than the midpoint method but less accurate than Heun's method.
Solving IVPs using different numerical methods helps us approximate the solution to the problem. The choice of the method depends on the accuracy required and the computational resources available. In this problem, we have used three different methods to approximate the solution, and we can see that Heun's method with two corrector iterations provides the most accurate solution.
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What is the slope-intercept form of the line represented in the table shown?
X Y
-2 14
-1 12
0 10
1 8
2 6
3 4
Step 1: Find the y-intercept:
Step 2: Choose any two points from the table to find the slope:
Step 3: Use the newly-found slope to write the slope-intercept equation. The form
for that is y = mx + b.
Step 4: Check your work. Choose an ordered pair from the table and substitute
into the newly-found equation
Answers
Answer: The slope-intercept form is y = -2x + 10
Step-by-step explanation:
Step 1: The y-intercept is the point where x=0, so that is (0,10)
Step 2: Use the points (-2,14) and (-1,12) to find the slope
Slope (m) = ΔY/ΔX = -2/1 = -2
Step 3: The slope-intercept form is:
y = mx+b
y = (step 2 value) x + (step 1 value)
y = -2x+10
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3/4 of 24 is___ and 2 3/4 of 24 is___
Answers
Answer:
3/4 of 24 is 18 and 2 and 3/4 (11/4) of 24 is 66.
Step-by-step explanation:
First, divide 24/4.
24/4 = 6
Multiply by 3.
6 x 3 = 18 ( or 24 x 3/4 )
2 and 3/4, or 11/4 = 2.75.
Multiply 24 by 2.75 (or 11/4) to get 66
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what is the answer
Answers
Answer:
x=-49/3
Step-by-step explanation:
7 , 14 , 21 , 28 __ __ __
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Find the unknown side lengths and angle measures.
Round the lengths to the nearest tenth and the angle measures to the nearest degree.
Answers
Answer:
Step-by-step explanation:
m∠D = 90° - 51° = 39°
sin E = \(\frac{DE}{DF}\) ⇒ DE = DF × sin E
DE = 18 sin51° ≈ 14.0 ft.
cos E = \(\frac{EF}{DF}\) ⇒ EF = DF × cos E
EF = 18 × cos51° ≈ 11.3 ft.
What is the slope of a line parallel to the represented by the equatior y=6x + 10
Answers
The given equation is
\(y=6x+10\)When the equation is in slope-intercept form, the coefficient of x is the slope. So, the slope of the given equation is 6.
It is important to know that parallel lines have equal slopes.
Hence, the slope of the parallel line is 6.11. Daisy is calculating her assets. She has $10,000 in gold and silver jewelry, and $50,000 in her savings. She has paid $20,000 of her $150,000 house. She has also pain
$10,000 of the $45,000 car she bought last year.
O $285,000
O $80,000
O $255,000
O $90,000
Answers
Answer:
C is the answer because if u add all the numbers up and subtract how much she has paid so far u get 255,000
Answer: $90,000
Step-by-step explanation: just did the test
chris decided to buy 102 feet of craft center material what is the cost
Answers
Answer: however much a foot of craft material is multiply it by 102
Step-by-step explanation:
4. Evaluate:
root((34.64 * (0.0023) ^ 2)/((0.0496) ^ 5), 3)
Answers
Therefore, the evaluated value of `root((34.64 * (0.0023) ^ 2)/((0.0496) ^ 5), 3)` is approximately 0.3263634046.
To evaluate the expression `root((34.64 * (0.0023) ^ 2)/((0.0496) ^ 5), 3)`, we will follow the order of operations (PEMDAS/BODMAS), which instructs us to simplify operations inside parentheses, exponents, multiplication, division, addition, and subtraction.
First, let's simplify the exponents inside the expression:
- (0.0023) ^ 2 = 0.0023 * 0.0023 = 0.00000529
- (0.0496) ^ 5 = 0.0496 * 0.0496 * 0.0496 * 0.0496 * 0.0496 = 0.000005577776
Now, we substitute the simplified values back into the expression:
- `root((34.64 * 0.00000529) / 0.000005577776, 3)`
Next, we perform the division:
- (34.64 * 0.00000529) / 0.000005577776 = 0.03262532014
Substituting the result back into the expression, we have:
- `root(0.03262532014, 3)`
Now, let's calculate the cube root of 0.03262532014:
- cube root of 0.03262532014 ≈ 0.3263634046
It's important to note that due to rounding during intermediate steps, the final answer may not be entirely precise. If you require a more accurate result, it is recommended to carry out the calculations using higher precision or additional decimal places.
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Answer the question please
Answers
Answer:
a) 2434.4
b)243440
c)2434400
d)24344000
help me, please !!!!!
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Answer:
Step-by-step explanation:
3
(7 x 8) * 10°= Idek
Answers
Answer:56000
Step-by-step explanation: