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2 years ago

SUPER EASY POINTS, i also need some clarification on this question... would i be correct?

Mathematics

2 answers:

Brut [27]2 years ago

8 0

Answer:

B) $\frac{1}{3}$

Step-by-step explanation:

When y varies directly with x, the relationship is $y=kx$ where $k$ is the constant of proportionality. Hence, $k=\frac{y}{x}$ .

So, your answer would not be correct because you did $\frac{x}{y}$ instead of $\frac{y}{x}$ , so the correct option would be the reciprocal, or $\frac{1}{3}$ .

bulgar [2K]2 years ago

4 0

Answer:

$\bf \sf \dfrac{1}{3}$

<h3>Explanation:</h3>

<u>Take points</u>: (6, 2), (3, 1)

$To \ find \ proportionality = \sf \dfrac{y_2-y_1}{x_2-x_1}$

<em>Insert values</em>

$\rightarrow \sf \dfrac{1-2}{3-6}$

<em>Simplify</em>

$\rightarrow \sf \dfrac{-1}{-3}$

<em>Cancel out the negatives</em>

$\rightarrow \sf \dfrac{1}{3}$

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The Schmidts brought a house 10 years ago and took out a mortgage. They are considering selling and want to know how much they s

just olya [345]

Answer: a. They can find the present value of the remaining 20 years worth of payments.

Step-by-step explanation:

The present value of the payments for the servicing of the loan is the amount of the loan that is still owed because the payments include both the interest and the principal repayments.

The Schmidts can therefore find out the amount they still owe by checking the present value of the remaining 20 years worth of payments.

As the payments are usually constant they can be treated as an annuity so using the monthly payment as the annuity, the interest rate as the discount rate and the 20 years ( 240 months) as the period, they should be able to find the present value of the loan.

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3 years ago

stat crunch A simple random sample of size n=250 individuals who are currently employed is asked if they work at home at least o

Masteriza [31]

Answer:

The 99% confidence interval for the population proportion of employed individuals who work at home at least once per week is between (0.104, 0.224).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 250, \pi = \frac{41}{250} = 0.164$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.164 - 2.575\sqrt{\frac{0.164*0.836}{250}} = 0.104$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.164 + 2.575\sqrt{\frac{0.164*0.836}{250}} = 0.224$

The 99% confidence interval for the population proportion of employed individuals who work at home at least once per week is between (0.104, 0.224).

5 0

3 years ago

What is the length of the mid segment of the trapezoid made by the vertices A(0,5), B(3,3), C(5,-2) and D(-1,2). Show equations

Veronika [31]

Answer:

(1) You can try to calculate length of AB, BC, CD, AD, AC, BD to make sure the order of vertices. (other way: you can plot them to see form of trapezoid and then find out positions of 4 vertices)

(2) From (1), identify 2 bases of trapezoid: AB and CD

=> Length of mid segment = (lengAB + lengCD)/2

=[ sqrt[(0-3)^2+(5-3)^2] + sqrt[(5-(-1))^2+(-2-2)^2] ]/2 = ~5.4

Other way

Define two points create mid segment P1 and P2

P1 is middle of AD = (A+D)/2 = (-0.5,3.5)

P2 is middle of BC = (B+C)/2 = (4,0.5)

=> Length of P1P2 = sqrt[(-0.5-4)^2+(3.5-0.5)^2] = 5.4

3 0

3 years ago

(i’ll be giving brainiest for those who provide the correct answer and those who don’t leave a link.) “a parallelogram has one s

VLD [36.1K]