1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MrRissso [65]
3 years ago
13

The equation y = 6.3x + 67.4 is the equation of a linear model in a scatter plot comparing the ages of boys between 2 and 10 yea

rs old open (x) and their average heights in centimeters open (y).
What is the average height of a 5-year-old boy?


98.9 cm


78.7 cm


67.4 cm


62.4 cm
Mathematics
1 answer:
cluponka [151]3 years ago
8 0
Since the age of the boy is represented using x,
when the boy is 5 years old, x = 5.
y = 6.3x + 67.4
= 6.3(5) + 67.4
= 98.9

Since the average height of an age group is represented using y,
when y = 98.9, the average height of a 5-year-old boy is 98.9 cm.

The answer is 98.9 cm.
You might be interested in
Pls help will mark brainliest and 30 points
erik [133]

1. Answer is option 3

2. Answer is option 3

7 0
3 years ago
Read 2 more answers
Find the distance between P1(4,16degrees) and P2(-2,177degrees) on the polar plane.
bazaltina [42]
Polar coordinates give the distance from the origin and the angle from the positive x axis. Cartesian coordinates give the distance from the x and y axes.

You can draw a right triangle with these values. (see attached)
If you know the r value and theta of that triangle below, you can use trig to find x and y.

Let's convert (4, 16°) to Cartesian coordinates.

Note that since our angle is acute, (in Quadrant I) our sine and cosine will both be positive, as you should be able to derive from the unit circle, where cosine is represented as an x value and sine is represented as a y value.

cosine = adjacent / hypotenuse
cosθ = x/r
cos(16°) = x/4
4cos(16°) = x ≈ 3.84504678375

sine = oppsite / hypotenuse
sinθ = y/r
sin(16°) = y/4
4sin(16°) = y ≈ 1.10254942327<span>

So (4, 16°) </span>⇒ (3.84504678375, 1.10254942327).

Let's convert (-2, 177°)  to Cartesian coordinates.
Whenever you have a negative radius, that means to put the point opposite where it would have been if it had a positive radius. (see attached)

In that case, we can essentially add 180° to our current 177° to the same effect. That means that (-2, 177°) = (2, 357°).

Note that since our angle is in Quadrant IV, our cosine will be positive, but our sine will be negative. (as derived from the unit circle) We don't have to worry about this since our calculator figures this for us, but you should pay attention to it if you are converting from Cartesian to polar.

cosine = adjacent / hypotenuse
cosθ = x/r
cos(357°) = x/2
2cos(357°) = x ≈ 1.99725906951

sine = opposite / hypotenuse
sinθ = y/r
sin(357°) = y/2
2sin(357°) = y ≈ -0.10467191248

So (-2, 177°) ⇒ (1.99725906951, -0.10467191248).

Now we must use the distance formula with our two points.
d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
d\approx\sqrt{(1.99725906951-3.84504678375)^2+(-0.10467191248-1.10254942327)^2}
d\approx\sqrt{-1.84778771^2+-1.20722134^2}
d\approx\sqrt{3.41431942+1.45738336}
d\approx\sqrt{4.87170278}
\boxed{d\approx2.20719342}

7 0
3 years ago
A toy baseball bat comes with 3 plastic balls. The balls are in a box that is a rectangular solid. The box is just big enough to
vodomira [7]

Answer:

31.4 in³

Step-by-step explanation:

The box is just big enough to hold the 3 balls, so it must have a length 6 times the radius of each ball, a width 2 times the radius, and a height 2 times the radius.

The volume of the box is:

V = (6r)(2r)(2r)

V = 24r³

The volume of the 3 balls is:

V = 3 (4/3 π r³)

V = 4πr³

So the volume of the air is:

V = 24r³ − 4πr³

V = (24 − 4π) r³

Since r = 1.4 inches:

V = (24 − 4π) (1.4 in)³

V ≈ 31.4 in³

5 0
2 years ago
Y intercepts of 3x^2-12x+6
Inessa05 [86]
Y=3x^2. -12x+6

If x= 0 then y= 3•0^2 -12•0+6=6
X=0, y=6

y intercept is the place where the curve touches the y-axis and is at point (0, 6)
6 0
3 years ago
Light travels at 3.0×10^8 kilometers how far does light travel in five minutes
34kurt
Just have a very grate day
8 0
2 years ago
Other questions:
  • Translate to an algebraic expression. 16 increased by n.
    12·1 answer
  • Which student factored the expression x3 - 3x + x2 - 3 correctly based on their answer below?
    6·2 answers
  • Marcus rented a movie 4 dollars and some video games 6 dollars each he paid 22 dollars how many games did he rent ?
    10·2 answers
  • The graph shown is a scatterplot which point on the scatterplot is an outliner??Help
    7·2 answers
  • Solve: 110°20'
    11·2 answers
  • Find the height of the cylinder.
    8·2 answers
  • Prove algebraiclly that the straight line with equation x = 2y + 5
    10·1 answer
  • What is the answer to this question. Please give me the answer ASAP
    12·1 answer
  • Given f(x) = 2x- 7. complete parts (a) through (c) below. Homework Help
    13·1 answer
  • Answerrrrr plzzzzzzzzzzzzzzzzzzzz
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!