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skelet666 [1.2K]
3 years ago
5

Hey ya'll, my assignment asked me.....Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework.

He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision.
Then, i answered with: To find a percentage you just have to put the percent in decimal form then you multiply. 125% = 125/100 125% = 125/100 = 1.25 By doing this, we get 1.25, which is the same as 125% in decimal form. Therefore, Evan was correct. He spent 125% more time doing homework this week. IS THAT CORRECT
Mathematics
2 answers:
scoundrel [369]3 years ago
7 0

Answer:

Evans is correct.

Step-by-step explanation:

Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision.

We know that 125% of 20 hours (last week) = 25 hours, so Even IS correct.

Note that Increase or Decrease is relative to the ORIGINAL value, in this case is 20 hours.

Ann [662]3 years ago
3 0

Answer:

No he is wrong

Step-by-step explanation:

Evan was not correct 125% means he over doubled his time doing homework. To double his time he would need 40 hours, and he only did 25.

Increase: 5 hrs

Percent of increase: 20%, because 5/25=20%

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kkurt [141]
What are you exactly asking here?
4 0
3 years ago
A politician estimates that 61% of his constituents will vote for him in the coming election. How many constituents are required
Katyanochek1 [597]

Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

The estimate is of \pi = 0.61, while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}

\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2

n = 1015.5

Rounding up, 1016 constituents are required.

More can be learned about the z-distribution at brainly.com/question/25890103

8 0
1 year ago
10=2/3n+8<br>what is n ?​
alexira [117]

The value of n in the given equation is -2.6

Step-by-step explanation:

Given,

10 = \frac{2}{3n+8}

To find the value of n

10 = \frac{2}{3n+8}

or, 10(3n+8) = 2 [ by cross multiplication]

or, 30n + 80 = 2

or, 30n = 2-80 [ taking the constant values in one side]

or, 30n = -78

or, n = \frac{-78}{30}

or, n = -2.6

8 0
3 years ago
Read 2 more answers
Please help me answer this.
Mariulka [41]

Answer:

(a) 3

Step-by-step explanation:

Calculate the slope m of the line given using the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0,3) and (x₂, y₂ ) = (3, 2)

m = \frac{2-3}{3-0} = - \frac{1}{3}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{3} } = 3 → (a)


5 0
3 years ago
HELP!!
leonid [27]

Answer:

The focus point is (2 , 0) ⇒ answer D

Step-by-step explanation:

* Lets revise the equation of the parabola in standard form

- The standard form is (x - h)² = 4p(y - k)

- The focus is (h, k + p)

- The directrix is y = k - p

- If the parabola is rotated so that its vertex is (h , k) and its axis of

 symmetry is parallel to the x-axis, it has an equation of

 (y - k)² = 4p(x - h)

- The focus is (h + p, k)

- The directrix is x = h - p

* Lets solve the problem

∵ The equation of the parabola is y = 1/8(x² - 4x - 12)

- Lets make x² - 4x completing square

∵ √x² = x  

∴ The 1st term in the bracket is x

∵ 4x ÷ 2 = 2x

∴ The product of the 1st term and the 2nd term is 2x

∵ The 1st term is x

∴ the second term = 2x ÷ x = 2

∴ The bracket is (x - 2)²

∵  (x - 2)² = (x² - 4x + 4)

∴ To complete the square add 4 to the bracket and subtract 4 out  

  the bracket to keep the equation as it

∴ (x² - 4x + 4) - 4 = (x - 2)² - 4

- Lets put the equation after making the completing square

∴ y = 1/8 [(x - 2)² - 4 - 12]

∴ y = 1/8 [(x - 2)² - 16] ⇒ multiply both sides by 8

∴ 8y = (x - 2)² - 16 ⇒ add 16 to both sides

∴ 8y + 16 = (x - 2)² ⇒ take from the left side 8 as a common factor

∴ 8(y + 2) = (x - 2)²

∴ The standard form of the equation of the parabola is

   (x - 2)² = 8(y + 2)

∵ The standard form of the equation is (x - h)² = 4p(y - k)

∴ h = 2 , k = -2 , 4p = 8

∵ The focus is (h , k + p)

∵ h = 2

∵ 4p = 8 ⇒ divide both sides by 4

∴ p = 2

∴ The focus = (2 , -2 + 2) = (2 , 0)

* The focus point is (2 , 0)

6 0
3 years ago
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