Mathematics High School

he equation of the line of best fit relating age (in years) and the median height (in cm) of boys is given.

y = 6.5x + 75.5
Which statement below best interprets the slope in the context of the problem?

Answers

Answer 1

Answer:

proof: answer is 2/13

1 / 6.5 = m

m = 0.153846154

10/65 = m

m = 2/13

2/13 = m

m = 0.153846154

Therefore we could show multiplication proof

m = 10/65  =   m = 2/13

2 x 5 = 10

13 x 5 = 65

Step-by-step explanation:

See attached graph of y = 6.5x+75.5

plotting the graph

1. Mark y intercept at 75.5 as given in the equation

2. find the slope to whole numbers

m =  10 across / 65 across = 6.5 slope

Mapping Pythagoras   10^2 +65^2 = c^2

sqrt 100 + sqrt 4225 = c^2

c^2 = sqrt 4225 = 65.7647322 = 65.8

0.7647322 / 65 = 0.0117651108 = 100th

65 + 0.0117651108 = 65.011765.....

Therefore 10 across / 65.0118  down

or 10 across  / 65 down is another way to graph, as seen on graph.

m = 10/65  =   m = 2/13

2 x 5 = 10

13 x 5 = 65

He Equation Of The Line Of Best Fit Relating Age (in Years) And The Median Height (in Cm) Of Boys Is

Related Questions

what are all the possible ratios that can be made out of 32:56

Answers

Answer: 4:7

Explanation: To find the possible ratio, you first have to divide 32 and 56 into their lowest terms to find your answer. Hope this helps :)

Which expression is equivalent to 10s+s-3s10s+s−3s?

Answers

Answer:

9s-3s10s or 3-10s

Step-by-step explanation:

10s+s-3s10s+s-3s

first of all, we collect like terms

10s+s+s-3s-3s10s

=9s-3s10s

it could also be equal to

9s/3s-(3s10s/3s)

3-10s

when we divide through by 3s

I'm lost on this thing, can any of y'all help? would be appreciated

Answers

Answer:

wher is question

Step-by-step explanation:

Mr. Chan places $4000 in a bank as a fixed deposit for 2 years. The bank offers an interest compounded yearly. At the end of 2 years, he receives a total of $4243.60. Find the interest rate.

Answers

Answer:

Step-by-step explanation:

Mr. Chan originally placed 4,000 in the bank as a fixed deposit for 2 years.

Each years the bank added a certain amount of interest.

At the end of the 2 years he gained 243 dollars and 60 cents just from interest.

How to solve:

Simply take away the 4 in the amount of money

Leaving: $243.60

( 2 years )

Now divide 243.60 by 1/2

which is 121.8

Mr.Chan got 121.8 worth of interest a year

$10.5 a month

$2.3 a week

6 cents a day

All in 2 years.

2. A baseball game has a total of 9 innings. In each inning, there are 2 teams that each have
to make 3 outs in order for the inning to be complete. Which statement is true?
9
A. Each out is of all the outs in a 9-inning baseball game.
B. Each out is of all the outs in a 9-inning baseball game.
C. Each out is of all the outs in a 9-inning baseball game.
27
D. Each out is
of all the outs in a 9-inning baseball game.
18

Answers

Using proportions, it is found that each out is [tex]\frac{1}{54}[/tex] of all the outs in a 9-inning baseball game.

Supposing a 9-inning baseball game, each team has the right to 27 outs.

Two teams, thus, there are [tex]2 \times 27 = 54[/tex] outs.

This means that each out in a game [tex]\frac{1}{54}[/tex] of all the outs in a 9-inning baseball game.

A similar problem is given at https://brainly.com/question/24342347

Antonio earned $55.30 mowing lawns. He wants to buy a skateboard that costs $87.95. How
much money does Antonio still need to buy the skateboard?

Answers

Answer:

he needs 32.65 so it would be B

Step-by-step explanation:

Answer: Antonio still needs $32.65

Step-by-step explanation:

The second choice b/c he (M) is the money he still needs and when you add the money he still needs with the money he already have then it would result the price of the skateboard.

Hope it helps!

Xander goes to the movies with his family. Each family member buys a ticket and two boxes of popcorn. If there are five member of his family, let t represent the
cost of a ticket and p represent the cost of a box of popcorn. Write two different expressions that represent the total amount his family spent. Explain how each expressions describes the situation in a different way.

Answers

Answer:

10

Step-by-step explanation:

there are five members 2x5 = 10

Find the distance between (-6,-1) and (4,-5)

Answers

2,889 mi

Distance from South Atlantic Ocean to Gulf of Guinea

in one month, Lee made 4 self-service deposits and 4 self-service withdrawals on her account, she visits a teller on two occasions, once to make a foreign currency purchases and once to pay a bill, her minimum monthly balance was $965.95 She has a Value account, what are her fees? The answer is $5.90 but how do you get that answer?​

Answers

Answer:hol up

Step-by-step explanation:

Find the exponential function that satisfies the given conditions:
Initial value = 66, decreasing at a rate of 0.5% per week (5 points)

f(t) = 0.5 ⋅ 0.34t
f(t) = 66 ⋅ 1.5t
f(t) = 66 ⋅ 0.995t
f(t) = 66 ⋅ 1.005t

Answers

Answer:

C. f(t) = 66 * 0.995^t

Step-by-step explanation:

Required function is:

f(t) = 66*(1 - 5/100)^t = 66*0.005^t

The matching option is C

what is the square of 8​

Answers

Answer:

Your square would be 64.

Step-by-step explanation:

If you think about if 8 is a square root of a number, the answer is yes. It's 64. When you multiply numbers by themselves, such as 2*2, or 8*8, you get their square. In this case, 8*8 is equal to 64.  I hope this helps you. : )

Which expression is equivalent to 10x + 7 - 3x?

a. 7x + 7
b. -7x =7
c. 4x + 7
d. 3x - 7

Answers

Answer:

7x+7

Step-by-step explanation:

10x + 7 - 3x

Combine like terms

10x-3x   +7

7x+7

Step-by-step explanation:

10x + 7 - 3x

= 10x - 3x + 7

= 7x + 7

[tex] \small{\colorbox{black}{\purple{\boxed{\pink{ \sf\:✨ \small{ḀṆṠẇḕṙ \: ḃẏ}✨{ \small{\gray{\boxed{\orange{\: \tt \: - ꆰꍟꈤ꒒ - \:}}}}}}}} }}[/tex]

Identify each number as rational or irrational.
Number
Rational or irrational?
3
3

116
(3

18

0.625

0.987987987..

Answers

Step-by-step explanation:

sorry answer ia not clear

(2x + 1)2 − 4x(x − 1) = 7

Answers

Answer:

[tex](2x + 1)^{2} - 4x(x - 1) = 7 \\ (2x + 1)(2x + 1) - 4 {x}^{2} + 4x = 7 \\ 4 {x}^{2} + 4x + 1 - 4 {x}^{2} + 4x = 7 \\ 8x + 1 = 7 \\ 8x = 7 - 1 \\ 8x = 6 \\ \\ x = \frac{6}{8} \\ \\ x = \frac{3}{4} \\ \\ x = 0.75[/tex]

The volume of this sphere is 972 pi cubic inches. What is its radius?

A sphere.

Recall the formula Sphere Volume = four-thirds pi r cubed.
7 inches
9 inches
108 inches
324 inches

Answers

Answer:  9 inches

Step-by-step explanation:

   volume of a sphere = ⁴/₃ πr³

⇒      972π in³  = ⁴/₃ πr³

            729 in³ = r³

                   r    = 9 in

∴ the radius of a sphere of volume  972π in³ is 9 inches.

Answer:

9 inches

Step-by-step explanation:

work out the value of 3^2 + 2^3

Answers

Answer:

17

Step-by-step explanation:

3² + 2³

= 9 + 8

= 17

Answer:

3/2 can be written as 3*1/2.

Now in 3*1/2 apply PEDMAS

3*0.5

Now multiply 3 with 0.5

The answer is 1.5…

3/2 means half of a three that is 1.5…it is fraction form of 1.5…

Step-by-step explanation:

5. How does the number line below represent the product of a
positive number and a negative number? Explain.
Please Help The attachment is attached Below ⬇

Answers

Answer:

Sorry I can't give you a straight answer right now because I'm in a hurry but here is some help;

Step-by-step explanation:

Remember:

When adding positive numbers, count to the right. When adding negative numbers, count to the left.  Add when two of the same signs appear next to each other

What graph shows a proportional relationship between x and y?

Answers

I believe it would have to be the second graph as a proportional relationship has to make a straight line that passes through the origin

Answer:

second graph

Step-by-step explanation:

the line running at same rate

4) mZGHI = 176º, mZLHI = x + 143, and mZGHL = x + 55. Find x. H G​

Answers

Answer:

x = -11

Step-by-step explanation:

(x + 55) + (x + 143) = 176

Combine like terms...

2x + 198 = 176

Isolate x

2x = -22

x = -11

Trinity has 48.75 in of ribbon she cut the ribbon to 15 equal size pieces what is the length of each piece of ribbon

Answers

Answer:

3.25

Step-by-step explanation:

Divide 48.75 by 15

Answer: 3.25

Step-by-step explanation:

48.75/15= 3.25

Solve for m:
2 (m + 7) = -4- m
Your answer

Answers

Answer:

m = -6

Step-by-step explanation:

2 (m + 7) = -4 - m

2m + 14 = -4 - m

3m + 14 = -4

3m = -18

m = -6

Hopefully this helps!

Brainliest please?

Answer:

m = -6

Step-by-step explanation:

To solve this equation for m, we multiply out the left side to remove the parentheses:

2m + 14 = -4 - m

Next, we combine like terms:  2m and -m are like terms, as are 14 and -4:

3m = -18

Dividing both sides by 3 yields m = -6

can anyone's please explain how you got this answer with explanation....(if nonsense answers I will report)​

Answers

Answer:

12.5%

Step-by-step explanation:

45/360×100=12.5

You have a 20-ounce bottle of juice. You pour out 1/4 of the bottle to share with a friend. If you pour out 3 ounces for yourself, what fraction of the 20 ounces will be left in the bottle?

Answers

1/4 of 20 = 5
5 + 3 = 8

So you have 12/20
Simplified = 6/10 = 3/5

$10.00/8 slices is it a unit rate

Answers

no, its not a unit rate

HELP ME PLEASE



7. When Mrs. Santo lived in China, temperature was measured in Celsius. She constantly had to convertir
Celsius to Fahrenheit until she started learning Celsius temperatures and how warm they are.
The formula to convert from Celsius to Fahrenheit is F = = C) + 32
The mean temperature for one month was 34°C and the standard deviation was 2.27.C. Applying what
know about multiplying by a constant and adding a constant, what was the mean and standard deviation
Fahrenheit? Be sure to show your work for both the mean and the standard deviation.

Answers

Answer:

Mean: [tex]93.2\; \rm ^{\circ} F[/tex].

Standard deviation: [tex]4.086\; \rm ^{\circ} F[/tex].

Step-by-step explanation:

Consider a random variable [tex]X[/tex] with mean [tex]\overline{X}[/tex] and variance [tex]{\rm Var}(X)[/tex].

If a random variable [tex]Y[/tex] is obtained by linearly transforming [tex]X[/tex] for some constants [tex]m \ne 0[/tex] and [tex]b[/tex], then the mean of [tex]Y\![/tex] would be:

[tex]\overline{Y} = m\, \overline{X} + b[/tex].

[tex]\mathrm{Var}(Y) = m^{2} \, \mathrm{Var}(X)[/tex].

The standard deviation of a random variable is the square root of its variance. Therefore, the standard deviation of [tex]Y[/tex] would be:

[tex]\begin{aligned}\mathrm{SD}(Y) &= \sqrt{\mathrm{Var}(Y)} \\ &= \sqrt{m^{2}\, \mathrm{Var}(X)} \\ &= m\, \sqrt{\mathrm{Var}(X)} \\ &= m\, \mathrm{SD}(X)\end{aligned}[/tex].

In this question, the random variable [tex]F[/tex] is obtained by linearly transforming [tex]C[/tex] using the constants [tex]m = (9/5)[/tex] and [tex]b = 32[/tex]. That is:

[tex]F = (9/5)\, C + 32[/tex].

It is given that mean [tex]\overline{C} = 34[/tex] while standard deviation [tex]\mathrm{SD}(X) = 2.27[/tex]. The mean and standard deviation of [tex]F[/tex] obtained from the linear transformation would be:

[tex]\begin{aligned}\overline{F} &= m\, \overline{C} + b \\ &= (9/5) \times 34 + 32\\ &= 93.2\end{aligned}[/tex].

[tex]\begin{aligned}\mathrm{SD}(F) &= m\, \mathrm{SD}(C) \\ &= (9/5) \times 2.27 = 4.086\end{aligned}[/tex].

Thus, when measured in degrees Fahrenheit, the corresponding mean would be [tex]93.2\; \rm ^{\circ} F[/tex] and and standard deviation would be [tex]4.086\; \rm ^{\circ} F[/tex].

Solve the inequality for x
12x>9(2x-3)-15

Answers

Step-by-step explanation:

12x > 9(2x - 3) - 15

12x > 18x - 27 - 15

12x > 18x - 42

42 > 6x

7 > x

so, this is true for all values < 7

so, x is in (-infinity, 7)

both ends but included - therefore the round brackets.

which units in the metric system are used to measure distance?

Answers

Answer:

In the metric system of measurement, the most common units of distance are millimeters, centimeters, meters, and kilometers.

I think it is right ...

746.2 divided by 2.8 and need help to explain it

Answers

Answer:

266.5

Step-by-step explanation:

I directly used calculator

what is seven and nine tenths in standard form

Answers

Answer:

0.9 that is how you write nine-tenths in standard form

Volume Of This Cylinder

Answers

Answer:

2827.4 cm

Step-by-step explanation:

Volume of cylinder

V= π*r^2*h

H= height and r= radius

H= 9cm and r = diameter ÷ 2

r= 20cm ÷2 = 10cm

V= 22/7* 10^2* 9cm

V= 2829cm^3

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