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Elden [556K]
3 years ago
6

The scatterplot shows the ages and finishing times of seven men who ran a charity 5K run. Use the labeled points to create a lin

ear model that predicts the race time (y) of a man of any age (x). Which equation represents this linear model?
y=o.47x+7.72
y=0.47x+29.15
y=2.146x-27.57
y=2.146x-2.07

Mathematics
2 answers:
sasho [114]3 years ago
7 0

Answer:

A

Step-by-step explanation:

E2020

Alika [10]3 years ago
3 0

Answer:

0.47x + 7.72

Step-by-step explanation:

We have to create a Linear model using the given two points on the graph. The two points are: (21, 17.5) and (43, 2.75)

The general equation of the line in slope intercept form is

y = mx + c

where m is the slope and c is the y-intercept.

Calculating the slope:

slope=m=\frac{\textrm{Difference of y coordinates}}{\textrm{Difference of x coordinates}} \\\\ slope=m=\frac{27.75-17.5}{43-21}\\\\m=0.47

Using the value of m in above equation we get:

y = 0.47x + c

Calculating the y-intercept:

Using any of the given points we can calculate the value of c. Using the point (21, 17.5) in the above equation, we get:

17.5 = 0.47(21) + c

c = 17.5 - 0.47(21)

c = 7.63

Therefore, the equation is:

y = 0.47x + 7.63

Hence option a is the correct answer. The slight change in the value of "c" is because of rounding the value of m to 2 decimal places.

So from the given options, the correct answers is:

y = 0.47x + 7.72

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The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes

Given:

Number of total slots = 38

Number of red slots = 18

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Find:

Probability (Roulette ball not landing on red)

Computation:

Probability (Roulette ball not landing on red) = 1 - Probability (Roulette ball landing on red)

Probability (Roulette ball not landing on red) = 1 - (18 / 38)

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7 0
1 year ago
Billy fills a crate with equal-sized cubes. The volume of each cube is exactly 1 cubic foot. He can fit 7 cubes across the lengt
gayaneshka [121]

Answer:

Step-by-step explanation:

your right on 105 cubic feet

8 0
3 years ago
PLEASE!!!!!!!The adjoining figure shows two circles with the same center. The
Nookie1986 [14]
<h3><u>Answer:</u></h3>

\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ area \ of \ shaded \ region \ is 264 cm^2}}}

<h3><u>Step-by-step explanation:</u></h3>

Here , two circles are given which are concentric. The radius of larger circle is 10cm and that of smaller circle is 4cm . And we need to find thelarea of shaded region.

From the figure it's clear that the area of shaded region will be the difference of areas of two circles.

Let the,

  • Radius of smaller circle be r .
  • Radius of smaller circle be r .
  • Area of shaded region be \bf Area_{shaded}

\bf \implies Area_{Shaded}= Area_{bigger}-Area_{smaller} \\\\\bf\implies Area_{Shaded} = \pi R^2 - \pi r^2  \\\\\bf\implies Area_{shaded} = \pi ( R^2-r^2)  \\\\\bf\implies Area_{shaded} = \pi [ (10cm)^2 - (4cm)^2]  \\\\\bf\implies Area_{shaded}  = \pi [ 100cm^2-16cm^2]  \\\\\bf\implies Area_{shaded}  = \pi \times 84cm^2  \\\\\bf\implies Area_{shaded}  = \dfrac{22}{7}\times 84cm^2  \\\\\bf\implies \boxed{\red{\bf Area_{shaded} = 264 cm^2 }}

<h3><u>Hence </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> the</u><u> </u><u>shaded </u><u>region</u><u> is</u><u> </u><u>2</u><u>6</u><u>4</u><u> </u><u>cm²</u><u>.</u></h3>

5 0
3 years ago
Determine whether the forces in the pair are pulling at right angles to each other.
prohojiy [21]

Answer:

C) 3.0

Step-by-step explanation:

Let the length of the other side be x.

Using Pythagoras theorem for right-angled triangle,

4.2^2=2.9^2+x^2

or,x^2=4.2^2-2.9^2

or,x^2=9.23

or,x=√9.23=3.0 units

7 0
3 years ago
If a circle has a diameter of 30 meters, which expression gives its area in
sattari [20]

Answer:

C. 15²π

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Geometry</u>

  • Diameter: d = 2r
  • Area of a Circle: A = πr²

Step-by-step explanation:

<u>Step 1: Define</u>

d = 30 m

<u>Step 2: Find Area</u>

  1. Substitute [D]:                    30 m = 2r
  2. Isolate <em>r</em>:                             15 m = r
  3. Rewrite:                              r = 15 m
  4. Substitute [AC]:                 A = π(15 m)²
  5. Rearrange:                        A = 15²π
3 0
3 years ago
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