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
The tallest man alive today is 8 feet 3 inches. How tall is he in inches?
juin [17]

Answer:

99 inches

It should be correct, you can try and double check with goo gle though.

6 0
3 years ago
Read 2 more answers
Answer both with STEPS
Amanda [17]

Answer:

7 )

x =  \frac{3\sqrt{2} }{2}

y= 3

8 )

x=6\sqrt{6}

y= 9\sqrt{2}

Step-by-step explanation:

7  )                                 8)

In Δ ABC                                      In Δ XYZ            

∠ C = 45°                                          ∠ X = 60°

∠ A = 90°                                           ∠ Y = 90°

AC= \frac{3\sqrt{2} }{2}             XY= 3\sqrt{6}

To Find :

x = ?

y = ?

Solution:

We Know

In Δ ABC

∠ C = 45°

∠ A = 90°

∴ ∠ B = 45°  ......Angle sum property of a triangle i.e 180°

∴  Δ ABC is an Isosceles Triangle

∴ AC = AB = x =  \frac{3\sqrt{2} }{2}

Now appplying Trignometry identity we get

\sin C = \frac{\textrm{side opposite to angle C}}{Hypotenuse}\\\\\sin 45 = \frac{AC}{BC}\\\\\frac{1}{\sqrt{2} } =\frac{\frac{3\sqrt{2} }{2}}{y}\\\\y=\frac{3\times \sqrt{2}\times \sqrt{2}  }{2}\\\\y= 3

Now In Δ XYZ

∠ X = 60°

∠ Y = 90°

∴∠ Z = 30°  . .....Angle sum property of a triangle i.e 180°

Now appplying Trignometry identity we get

\tan X = \frac{\textrm{side opposite to angle X}}{\textrm{side adjacent to angle X}}

\tan 60 = \frac{YZ}{XY}\\\\\sqrt{3} =\frac{y}{3\sqrt{6} }\\  y= 3\sqrt{3} \sqrt{6} \\y= 9\sqrt{2}

Now,

\sin X = \frac{\textrm{side opposite to angle C}}{Hypotenuse}\\\\\\\sin 60 = \frac{YZ}{XZ}\\ \\\frac{\sqrt{3} }{2} =\frac{9\sqrt{2} }{x} \\\\x=\frac{18\sqrt{2} }{\sqrt{3} } \\\textrm{after fationalizing the denominator root 3 we get}\\\\x=6\sqrt{6}

8 0
3 years ago
Lisa's penny bank is 1/10 full. After she adds 440 pennies, it is 3/5 full. How many pennies can Lisa's bank hold?
Lisa [10]

First lets change the fractions so they have common denominators:

3/5 = 6/10

The bank was 1/10, after adding the pennies it was 6/10

6/10 - 1/10 = 5/10 = 1/2

This means 400 pennies filled 1/2 the piggy bank.

There are 2 halves (1/2) to a whole ( full piggy bank).

The piggy bank can hold 400 x 2 = 800 pennies.

5 0
3 years ago
Describe how making a list that can help you solve a math problem. write a problem that could be solved by making a list
ratelena [41]
Making a list can help you solve a math problem because it shows you the information you will be using.

Sally is 13 years old. Sally's brother Mark is twice as old as Sally. Sally's older sister Daffy is the sum of Sally and Mark's age. How old is Daffy?

making a list in this question tells you all of the different ages and lists them out in a row.
8 0
3 years ago
Chris deposited $1,000 into an account that earned 8% compound interest over 48 months. What is the account value earned after 4
blondinia [14]

Answer:

I think you just turn the percent into a decimal by moving the decimal 2 numbers to the right, and multiply all the numbers

3 0
3 years ago
Other questions:
  • Explain why the​ t-distribution has less spread as the number of degrees of freedom increases
    8·1 answer
  • Need help fast thanks
    7·2 answers
  • Yochanan walked from home to the bus stop at an average speed of 5 mph he immediately got on his school bus and traveled at an a
    10·1 answer
  • Two cars start to drive around a 2 km track at the same time. car x make one lap every 80 seconds while car y makes one lap ever
    13·1 answer
  • The distance from the center of a round table top to the edge of the table top is 4 ft. What is the area of. the table top
    10·1 answer
  • 50 POINTS!!!!!!1
    15·2 answers
  • A student took a test which had 6 questions. He would score 8 points on the test if all his answers are correct. If y represents
    11·2 answers
  • What is the answer of this ratio What's the equivalent number :24 and 5:3 ??? <br><br> help!!
    13·1 answer
  • Which describes the graph of y= (x+3)^2 - 4?
    5·2 answers
  • a string of length 60 cm is used to form two equal circles. what wil the total circumference of the two equal circles ?​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!