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vagabundo [1.1K]
3 years ago
13

HELP PLEASE NEED TO PASS!!!!!!!!!Rob is investigating the effects of font size on the number of words that fit on a page. He cha

nges the font size on an essay and records the number of words on one page of the essay.
The table shows his data.Which equation represents the approximate line of best fit for data, where x represents font size and y represents the number of words on one page?

y = –55x + 407
y = –41x + 814
y = –38x + 922
y = –26x + 723

Mathematics
2 answers:
zepelin [54]3 years ago
8 0

Using the given data you can build the linear regression (described by linear function y=ax+b) by hand or you can use math calculator to do this. In attached diagram you can see that

a=-26.059\approx -26

and

b=722.633\approx 723.

Then the equation of linear function is

y = -26x + 723.

Answer: correct choice is D.

Gnoma [55]3 years ago
3 0

Answer:

D. <em><u>y = –26x + 723</u></em>

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The 18 faculty members in a college math department range in age from 32 to 68. A stem plot follows: The first and third quartil
valentina_108 [34]

Answer:

Q_{1}=39, \:and\: Q_{3}=58

Step-by-step explanation:

1) This Stem and Leaf plot works like a Histogram. Completing the question, check below the Stem plot. Look the data out of the Stem plot and within (in the graph below)

32, 34 , 38 , 39 , 39 , 40 , 43 , 45 , 46 , 49 , 53 , 54 , 57 , 58 , 59 , 59 , 63 , 68

2) Notice how the first digit is on the Stem column (check below)

3) To find the first and Third Quartiles

Let's use the formulas to find the position, then the value. As it follows:

Q_3=\frac{3}{4}(n+1) \Rightarrow  Q_3=\frac{3}{4}(18+1) Q_3=14.25 \approx14th =58

Q_1=\frac{(n+1)}{4} \Rightarrow Q_1=4.75 th \approx Q_1 =5th =39

4 0
3 years ago
7t-3t+4t-5t show working​
sukhopar [10]

Answer:

3t

Step-by-step explanation:

7t-3t+4t-5t

Combine like terms

7t -3t = 4t and substitute back into the expression

4t +4t -5t

4t+4t = 8t and substitute back into the expression

8t - 5t

3t

7 0
3 years ago
HELP ME H PLZZZZZ??????
Karo-lina-s [1.5K]

Answer:

Hello :)

Step-by-step explanation:

1. a

2. None

3. c

4. b

Hope this helps :)

8 0
2 years ago
Read 2 more answers
The graph of y=x^2 was transformed to Y= -(x+3)^2 +5. Describe all transformations applied to the original function and determin
mina [271]

Hey there!

1. The graph was flipped vertically and now opens downward.

We know this because there is a negative sign in front of the equation:

y= \boxed- (x+3)^2+5

2. The graph was moved 3 units to the left.

We know this because there is 3 added to x inside of the parenthesis. Remember, inside (parenthesis) is opposite and acts on x, outside (parenthesis) is same and acts on y.

y=-(x\boxed{+3})^2+5

3. The graph was moved 5 units up.

We know this because there is 5 added at the end of the equation. It acts on y because it is outside of the parenthesis.

y=-(x+3)^2\boxed{+5}

Hope this helps!

3 0
3 years ago
Mr. Gonzales is replacing a cylindrical air-conditioning duct. He estimates the radius of the duct by folding a ruler to form tw
GalinKa [24]

Answer:

  • <em><u>5.6875 in</u></em>

Explanation:

At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).

Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)

I tried to upload the drawing but the tool is not allowing it now.

In the figure:

  • The length of the tangent (6 in) is one leg of the triangle
  • The distance from vertex and the circle (2.75in)  along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
  • The other leg is the radius, r.

Then, you can use Pythagorean theorem:

  • (r)² + (6)² = (r +2.75)²

Solve:

  • r² + 36 =  r² + 5.5r + 7.5625
  • 5.5r = 36 - 7.5625
  • 5.5r = 28.4375
  • r = 5.6875

The solution is in inches: r = 5.6875 inches ← answer

4 0
3 years ago
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