Mathematics High School

What is 1/5 divided by 3

Answers

Answer 1

Answer:0.06

Step-by-step explanation:

Related Questions

5/8 divided by 4/5 plssss

Answers

Answer:

The correct answer is 25/32

Step-by-step explanation:

Let's recall that the division of two fractions is the same as multiplying the first fraction by the inverse or reciprocal of the second fraction. We get the reciprocal of a fraction by interchanging its numerator and denominator.

Upon saying that, we have:

5/8 ÷ 4/5 =

5/8 * 5/4 = (We use the inverse and not it is a multiplication)

25/32

The correct answer is 25/32

I need help ASAP please and thank you!!!
Claire is 5 years older than her sister .
a. Write an equation that defines her sister's age, s, as a function of Claire's age, C

Answers

C = s + 5

Explanation:

Claire is 5 years older than her sister, so you need to add five years to her sister’s age to get Claire’s age.

The required equation that defines her sister's age, s, as a function of Claire's age, C is C = s + 5.

Given that,
Claire is 5 years older than her sister.

To determine an equation that defines her sister's age, s, as a function of Claire's age, C.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Let the sister's age be s and Claire's age be C,
Now, accoding to the question.
C = s + 5

Thus, the required equation that defines her sister's age, s, as a function of Claire's age, C is C = s + 5.

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20 POINTS FOR THESE QUESTIONS

Answers

thank yoou for the help

a political pollster wants to know what proportion of u.s. adults support a proposed amendment to the constitution. the pollster will use a confidence level of 95% and wants a margin of error of 4%.

Answers

The minimum sample size needed to estimate the proportion of U.S. adults supporting the proposed amendment with a 95% c

To determine the sample size needed for estimating the proportion of U.S. adults supporting the proposed amendment to the constitution with a confidence level of 95% and a margin of error of 4%, we can use the formula:

n = (Z^2 * p * (1 - p)) / (E^2)

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

p = estimated proportion (since we don't have an estimate, we can assume p = 0.5, which provides the maximum sample size required)

E = margin of error (0.04 in this case)

Plugging in the values, we get:

n = (1.96^2 * 0.5 * (1 - 0.5)) / (0.04^2)

n = 600.25 / 0.0016

n ≈ 37515.625

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A
DX 105°
What is the
measure of angle D?
m/D [?]
Enter the number
of degrees.

Answers

Desired graph is attached below.

Steps to draw a desired angle are:

Draw angle ABC of measure 105 degrees.Take a point D in its interior and join BD.Measure angle ABD and angle DBC using a protractor.Add the measures of angle ABD and angle DBC together.Verify that the sum of angle ABD and angle DBC is equal to the measure of angle ABC (which is given as 105 degrees).

If the sum of angle ABD and angle DBC is equal to 105 degrees, then the statement is verified.

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Complete question:

Draw an angle ABC of measure 105 degree.take a point D in its interior. Join BD. Verify by measuring that angle ABD +angle DBC=angle ABC.

ADX 105What is themeasure of angle D?m/D [?]Enter the numberof degrees.

Identify the inverse of f(x) = −1 + x^3. Determine whether it is a function and state its domain and range

Answers

Answer:

y=$\sqrt[3]{x-1}$

Step-by-step explanation:

y=x^3-1

Switch y and x

x=y^3-1

Solve for y

x-1=y^3

y=$\sqrt[3]{x-1}$

5. What is the slope of the line that passes through (0, 1) and (3, 7)? A -2 B -1/2 C 1/2 D 2

Answers

The slope of the line that passes through the points (0, 1) and (3, 7) include the following: D. 2.

How to calculate the slope of a line?

In Mathematics and Geometry, the slope of any straight line can be determined by using this mathematical equation;

Rate of change (slope) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Rate of change (slope) = rise/run

Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Rate of change (slope) = (y₂ - y₁)/(x₂ - x₁)

Rate of change (slope) = (7 - 1)/(3 - 0)

Rate of change (slope) = 6/3

Rate of change (slope) = 2.

Based on the data points, the rate of change is the change in y-axis with respect to the x-axis and it is equal to 2.

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The strength of an electrical current x flowing through the electric circuit shown is expressed as a function of time t and satisfies the following differential equation:
$\displaystyle \large{L \frac{dx}{dt} + Rx = V}$
Find the strength of the electrical current x after switch S is closed at time t = 0. Assume that L, R and V are positive constants, and also that x = 0 when t = 0. Then, find $\displaystyle \large{ \lim_{t \to \infty} x}$
Topic: Application of Differential Equation Reviews

Answers

Answer:

The current of the circuit at t = 0 is equal to 0.

If we take the limit as t approaches infinity, the current is equal to ε/R or V/R.

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:

$\displaystyle (cu)' = cu'$

Derivative Property [Addition/Subtraction]:

$\displaystyle (u + v)' = u' + v'$

Derivative Rule [Basic Power Rule]:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Slope Fields

Separation of Variables

Integration

Integrals

Integration Rule [Reverse Power Rule]:

$\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]:

$\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Multiplied Constant]:

$\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Method: U-Substitution

Electricity

Ohm's Law: V = IR

V is voltage (in Volts)I is current (in Amps)R is resistance (in Ohms)

Circuits

Circuit SymbolsKirchhoff's Laws (Loop and Junction Rule)Inductors

Step-by-step explanation:

*Note:

In the given equation, our variable of differentiation is x. I will rewrite this as current I for physics notation purposes.

Step 1: Define

Identify given.

$\displaystyle L \frac{dI}{dt} + RI = V$

[Assuming switch S is closed] Recall that an inductor is used in a circuit to resist change. After a long period of time, when it hits steady-state equilibrium, we expect to see the inductor act like a wire.

Step 2: Find Current Expression Pt. 1

[Kirchhoff's Law] Rewrite expression:
$\displaystyle L \frac{dI}{dt} = V - IR$Rewrite expression by dividing R on both sides:
$\displaystyle \frac{L}{R} \frac{dI}{dt} = \frac{\mathcal E}{R} - I$

Step 3: Find Current Expression Pt. 2

Identify variables for u-substitution.

Set u:
$\displaystyle u = \frac{\mathcal E}{R} - I$[u] Differentiation [Derivative Rules and Properties]:
$\displaystyle du = - \, dI$

Step 4: Find Current Expression Pt. 3

[Kirchhoff's Law] Apply U-Substitution:
$\displaystyle - \frac{L}{R} \frac{du}{dt} = u$[Kirchhoff's Law] Apply Separation of Variables:
$\displaystyle \frac{1}{u} \, du = -\frac{L}{R} \, dt$

Recall that our initial condition is when t = 0, denoted as u₀, and we go to whatever position u we are trying to find. Also recall that time t always ranges from t = 0 (time can't be negative) and to whatever t we are trying to find.

[Kirchhoff's Law] Integrate both sides:
$\displaystyle \int\limits^u_{u_0} {\frac{1}{u}} \, du = \int\limits^t_0 {- \frac{R}{L}} \, dt$[Kirchhoff's Law] Rewrite [Integration Property]:
$\displaystyle \int\limits^u_{u_0} {\frac{1}{u}} \, du = - \frac{R}{L} \int\limits^t_0 {} \, dt$[1st Integral] Apply Logarithmic Integration:
$\displaystyle \ln | u | \bigg| \limits^u_{u_0} = - \frac{R}{L} \int\limits^t_0 {} \, dt$[2nd Integral] Apply Integration Rule [Reverse Power Rule]:
$\displaystyle \ln | u | \bigg| \limits^u_{u_0} = - \frac{R}{L} t \bigg| \limits^t_0$Apply Integration Rule [Fundamental Theorem of Calculus 1]:
$\displaystyle \ln | \frac{u}{u_0} | = - \frac{R}{L} t$Apply e to both sides:
$\displaystyle e^{\ln | \frac{u}{u_0} |} = e^{- \frac{R}{L} t}$Simplify:
$\displaystyle \frac{u}{u_0} = e^{- \frac{R}{L} t}$Rewrite:
$\displaystyle u = u_0 e^{- \frac{R}{L} t}$

Recall that our initial condition u₀ (derived from Ohm's Law) contains only the voltage across resistor R, where voltage is supplied by the given battery. This is because the current is stopped once it reaches the inductor in the circuit since it resists change.

Back-Substitute in u and u₀:
$\displaystyle \frac{\mathcal E}{R} - I = \frac{\mathcal E}{R} e^{- \frac{R}{L} t}$Solve for I:
$\displaystyle I = \frac{\mathcal E}{R} - \frac{\mathcal E}{R} e^{- \frac{R}{L}t}$

Step 5: Solve

If we are trying to find the strength of the electrical current I at t = 0, we simply substitute t = 0 into our current function:

$\displaystyle\begin{aligned}I(t) & = \frac{\mathcal E}{R} - \frac{\mathcal E}{R} e^{- \frac{R}{L}t} \\I(0) & = \frac{\mathcal E}{R} - \frac{\mathcal E}{R} e^{- \frac{R}{L}(0)} \\& = \boxed{\bold{0}}\end{aligned}$

If we are taking the limit as t approaches infinity of the current function I(t), we are simply just trying to find the current after a long period of time, which then would just be steady-state equilibrium:

$\displaystyle\begin{aligned}I(t) & = \frac{\mathcal E}{R} - \frac{\mathcal E}{R} e^{- \frac{R}{L}t} \\\lim_{t \to \infty} I(t) & = \frac{\mathcal E}{R} - \frac{\mathcal E}{R} e^{- \frac{R}{L}(\infty)} \\& = \boxed{\bold{\frac{\mathcal E}{R}}}\end{aligned}$

∴ we have found the current I at t = 0 and the current I after a long period of time and proved that an inductor resists current running through it in the beginning and acts like a wire when in electrical equilibrium.

---

Topic: AP Physics C - EMAG

Unit: Induction

0.75x+4x-5 step by step

Answers

Answer:

4.75x-5

Step-by-step explanation:

Answer:

4.75x - 5

Step-by-step explanation:

Step 1: Combine Variables

0.75x + 4x = 4.75x

Simplified - 4.75x - 5

Let g be a horizontal shrink by a factor of 2/3, followed by a translation 4 units left of the graph of f(x)= √6x. Write a rule for g described by the transformations of the graph of f.

Answers

If g is a horizontal shrink by a factor of 2/3, followed by a translation 4 units left of the graph of f(x)= √6x, the sequence of transformation from f(x) to g(x) is:

Dilation by a factor of 2/3

Horizontal translation to the left by 4 units

g(x) = 2/3 [√6(x - 4)]

The given function is f(x)= √6x

Shrink the function f(x)= √6x by a factor of 2/3, the resulting function becomes 2/3 (√6x)

Translate the resulting function by 4 units to the left of the graph to form g(x)

g(x) = 2/3 [√6(x - 4)]

Therefore, the sequence of transformation from f(x) to g(x) is:

Dilation by a factor of 2/3

Horizontal translation to the left by 4 units

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A club has four officials : president, vice-president, secretary, and treasurer. If a member cannot hold more than one office, in how many ways can the officials be elected if the club has - (12 members) *

Answers

Answer:

votes

Step-by-step explanation:

Need help!!! Please

Answers

Answer:

I think it is the first one

Step-by-step explanation:

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

Answers

Answer:

Square C

Step-by-step explanation:

So that means that the side lengths of F are 1 since it's side lengths are 1/2 of square A

the retirement plan for a company allows employees to invest in 10 different mutual funds. if sam selected 4 of these funds at random and 6 of the 10 grew by at least 10% over the last year, what is the probability that 3 of sam's 4 funds grew by at least 10% last year? (enter your probability as a fraction.)

Answers

0.23809 is the probability that 3 of sam's .

What is probability in math?

The area of mathematics known as probability explores potential outcomes of events, along with the likelihoods and distributions of those occurrences.

Total fund = 10

no of funds grow by atleast 10% = 5

do not grow by atleast by 10% = 10 - 50 = 5

no of funds selected by sum at random = 4

No of ways of selecting 4 from 10 funds = ¹°C₄

= 10!/( 10 - 4 )!4! = 210

No of ways of selecting 3 grow atleast 10% from 5 which frow at least 10% funds = ⁵C₃

= 5!/3!( 5 - 3 )! = 10

No of ways of selecting 1 which do not grow at last 10% out of 5 funds which do not grow at least 10% funds = ⁵C₁ = 5!/( 5 - 1)! 1! = 5

Probability ( that 3 of sam's funds grew by atleast 10%

= 10 * 5/210 = 5/2! ≈ 0.23809

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help me with this please

Answers

Answer:

have an F- on math call for help!

Step-by-step explanation:

let f (x) = 5x - 6. write a function g whose graph is a horizontal shrink of the graph of f by a factor of 1/4

Answers

The function g(x) whose graph is the horizontal shrink of the given graph of f(x) =5x-6 by a factor (horizontal shrink factor) of 1/4 is g(x)=5/4 x-6.

As per the question statement, we are supposed to find a function g(x) whose graph is a horizontal shrink of the given graph of f(x) =5x-6 by a factor of 1/4.

Before solving it lets assume f(x)=y

so y =5x-6

Comparing with y= mx+c where m is the slope

so in y =5x-6 slope is m=5

For applying horizontal shrink by a factor of 1/4 we need to multiply the slope by a factor of 1/4

so new slope $m_{1} =5*\frac{1}{4} =\frac{5}{4}$

Therefore $g(x) = \frac{5}{4} x -6$

Therefore the function $g(x)$ whose graph is a horizontal shrink of the given graph of $f(x) = 5x-6$ by a horizontal shrink factor of 1/4 is $g(x) = \frac{5}{4} x -6$

Horizontal Shrink : The point (x, y) on the graph of f(x) is changed to the point (x/k, y) on the graph of g when the graph is stretched or contracted horizontally by a factor of 1/k (x).

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1. Pada pertandingan sepak bola yang dilaksanakan sebanyak 20 kali, ternyata Tim Indonesia menang 12 kali, seri 6 kali dan kalah 2 kali. Berapakah peluang Tim Indonesia akan menang?

Answers

Answer:

n(menang) = 6

n(seluruh) = 20

P(menang) = n(menang)/n(seluruh) = 6/20 = 3/10 atau 0,3 atau 30%

What is the answer? I don't understand how you are meant to work it out

Answers

9514 1404 393

Answer:

£27.50

Step-by-step explanation:

The general approach is ...

find the area to be paintedfigure the amount of paint requireddetermine the discounted cost of the paint

1. The area to be painted will be the area of the four walls, less the area of the door (which is assumed to be a hole in the wall, so is not painted).

Each wall has the same dimensions, so the same area. The area of the rectangular wall is ...

A = LW

A = (3.5 m)(2.6 m) = 9.1 m²

The area of the door is ...

A = (2.2 m)(0.8 m) = 1.76 m²

Then the area to be painted is the area of the 4 walls less the area of the door:

painted area = 4(9.1 m²) -1.76 m² = 34.64 m²

2. Each 2 L tin of paint will cover (2 L)×(8 m²/L) = 16 m², so the number of tins needed is ...

(34.64 m²)/(16 m²/tin) = 2.165 tins

We assume this means Aisha will need to purchase 3 tins, since she will need more paint than is provided by 2 tins.

3. Because of the price offer on the paint, Aisha will pay full price for the first two tins, half price for the 3rd tin. That is, she will pay 2 1/2 times the full price of a tin when she buys the 3 tins of paint she needs. Each tin costs £11, so Aisha will pay ...

(2 1/2)(£11) = £27.50

Aisha will pay £27.50 for the paint to paint her living room.

Answer:

that I have a panda but the black on it and I have kiss me kiss me at

.
There are 25 questions in a quiz.
Each correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0

It is possible to finish the quiz with a negative score.

1) If 75 is the maximum score you can get, what is the minimum score on the quiz?

2) A student answers 21 questions. 6 are correct. How many points does she score?

Answers

Answer:

Step-by-step explanation:

ach correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0

It is possible to finish the quiz with a negative score.

1) If 75 is the maximum score you can get, what is the minimum score on the quiz?

2) A student answers 21 questions. 6 are correct. How many points does she score?

Answer:

Step-by-step explanation:

ach correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0

It is possible to finish the quiz with a negative score.

1) If 75 is the maximum score you can get, what is the minimum score on the quiz?

2) A student answers 21 questions. 6 are correct. How many points does she score?

Answer:

Step-by-step explanation:

vach correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0

It is possible to finish the quiz with a negative score.

1) If 75 is the maximum score you can get, what is the minimum score on the quiz?

2) A student answers 21 questions. 6 are correct. How many points does she score?

Answer:

Step-by-step explanation:

ach correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0

It is possible to finish the quiz with a negative score.

1) If 75 is the maximum score you can get, what is the minimum score on the quiz?

2) A student answers 21 questions. 6 are correct. How many points does she score?

Answer:

Step-by-step explanation:

ach correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0

It is possible to finish the quiz with a negative score.

1) If 75 is the maximum score you can get, what is the minimum score on the quiz?

2) A student answers 21 questions. 6 are correct. How many points does she score?

Answer:

Step-by-step explanation:

vach correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0

It is possible to finish the quiz with a negative score.

1) If 75 is the maximum score you can get, what is the minimum score on the quiz?

2) A student answers 21 questions. 6 are correct. How many points does she score?

Answer:

Step-by-step explanation:

ach correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0

It is possible to finish the quiz with a negative score.

1) If 75 is the maximum score you can get, what is the minimum score on the quiz?

2) A student answers 21 questions. 6 are correct. How many points does she score?

Answer:

Step-by-step explanation:

ach correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0

It is possible to finish the quiz with a negative score.

1) If 75 is the maximum score you can get, what is the minimum score on the quiz?

2) A student answers 21 questions. 6 are correct. How many points does she score?

Answer:

Step-by-step explanation:

ach correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0

It is possible to finish the quiz with a negative score.

1) If 75 is the maximum score you can get, what is the minimum score on the quiz?

2) A student answers 21 questions. 6 are correct. How many points does she score?

Answer:

Step-by-step explanation:

Question

There are 25 questions in a quiz.

Each correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0

It is possible to finish the quiz with a negative score.

1) If 75 is the maximum score you can get, what is the minimum score on the quiz?

2) A student answers 21 questions. 6 are correct. How many points does she score?

please help!!!!!!!11

Answers

Answer:

a = 6 , b = 5

Step-by-step explanation:

using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ = $\sqrt{ab}$

then

$\sqrt{180}$

= $\sqrt{36(5)}$

= $\sqrt{36}$ × $\sqrt{5}$

= 6$\sqrt{5}$

with a = 6 and b = 5

a=6
b= 5

these are the answers hope they are correct

Help me with math ASAP!!!!

Answers

a= 9
b= 11
answer for you

Select all of the equations where x = 5 is the solution:

2 = 7 - x

1 + x = 6

x - 4 = 9

10 ÷ x = 2

10x = 2

Answers

number 1 2 and 4 are the ones with 5

2 = 7 - x
substitute x
2 = 7 - 5
true bc 7-5=2
this is an answer

1+x=6
substitute x
1+5=6
this is also an answer

x - 4 = 9
substitute x
5-4=9
not true
not an answer

10/x = 2
substitute x
10/5 = 2
true
is an answer (remember the / is divided by)

10x= 2
substitute x
10(5) = 5
false 10•5= 50
not an answer

Brady has been
approved for a home loan on a property he has under contract. The purchase
price is $150,000, and he is required to have $5,250 as a down payment. Which
of the following loan types is Brady most likely getting?

a. Conventional loan

b. ARM loan

c. FHA loan

d. VA loan

e. Fixed loan

Answers

The type of loan that Brady most likely getting is option (a) conventional loan

Conventional loans are typically not guaranteed or insured by the government and often require a higher down payment compared to government-backed loans such as FHA or VA loans. The down payment requirement of $5,250, which is 3.5% of the purchase price, is lower than the typical down payment requirement for a conventional loan, which is usually around 5% to 20% of the purchase price.

ARM (Adjustable Rate Mortgage) loans have interest rates that can change over time, which can make them riskier for borrowers. FHA (Federal Housing Administration) loans are government-backed loans that typically require a lower down payment than conventional loans, but they also require mortgage insurance premiums.

VA (Veterans Affairs) loans are available only to veterans and offer favorable terms such as no down payment requirement, but not everyone is eligible for them. Fixed-rate loans have a fixed interest rate for the life of the loan, but the down payment amount does not indicate the loan type.

Therefore, the correct option is (a) Conventional loan

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bu soruyu yapana 15 puan

Answers

Translate into English

Answer:

?????????????

Step-by-step explanation:

a researcher obtains a value of -6.75 for a chi-square statistic. what can you conclude about this? group of answer choices the expected frequencies are consistently larger than the observed frequencies. the researcher made a mistake. the value of chi-square cannot be negative. the observed frequencies are consistently larger than the expected frequencies. there are large differences between the observed and expected frequencies.

Answers

The value of chi-square cannot be negative. Therefore, it is likely that the researcher made a mistake in calculating or reporting the value of the chi-square statistic. Chi-square is a non-negative measure of the discrepancy between observed and expected frequencies.

Chi-square is a non-negative measure of the discrepancy between observed and expected frequencies. It is calculated by comparing the observed frequencies with the expected frequencies under a particular hypothesis. The chi-square statistic can be used to test the goodness of fit of a model, or to test for independence between two categorical variables.

If the value of chi-square is negative, it suggests that the observed frequencies are consistently larger than the expected frequencies, which is not possible. Therefore, it is important to carefully check the calculations and data before drawing any conclusions. It is also possible that there were errors in the data collection or measurement, which could affect the validity of the results. In any case, the negative value of chi-square is a red flag that warrants further investigation and validation of the results.

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An iceberg weights 450,000 pounds. If it loses 0.2% of its weight in a day, what is its new weight at the end of the day?

Answers

Answer:

449,100 pounds

Step-by-step explanation:

.2% as a decimal is 0.002. To find .2% of 450,000, you multiply it. The answer is 900 pounds. Because it is losing that amount, you subtract it. 450,000-900= 449,100 pounds

what is algbra
plz help me

Answers

Answer:

Algebra is math, like X, Y and all that.

Step-by-step explanation:

Answer:

algebra basically study of mathematical symbols and the rules governing the manipulation of these symbols as well.

Pls help. Write an equation where the solution is 2.

Answers

Answer:

Step-by-step explanation:

x = 2 works lol

but if you want a more complicated one:

4x - 4 = 4

there's infinite equations

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. ages of children: 5, 6, 7, 8, and 9

Answers

There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.

In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.

A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.

So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.

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What is an equation of the line that passes through the point (-2,-3) and is parallel to the line 5x+2y=14

Answers

Answer: y=-5/2x-8

Step-by-step explanation:

The equation of the line that passes through the point (-2,-3) and is parallel to the line 5x+2y=1 is

y = (-5/2)x - 8

What is an equation of a line?

The equation of a line is given by:

y = mx + c

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

We have,

An equation of the line that passes through the point (-2,-3) and is parallel to the line 5x+2y=14.

The equation of a line can be written as:

y = mx + c _____(1)

The line 5x + 2y = 14 can be written in the form y = mx + c.

5x + 2y = 14

2y = -5x + 14

y = -5/2x + 7

m = -5/2 ____(2)

The equation of the line passes through the point (-2, -3) so,

From (1) and (2) we get,

y = mx + c

-3 = -5/2 x -2 + c

-3 = 5 + c

c = -3 - 5

c = -8 ____(3)

Now,

From (1) , (2), and (3) we get,

The equation of the line is

y = (-5/2)x - 8

Thus,

The equation of the line that passes through the point (-2,-3) and is parallel to the line 5x+2y=1 is

y = (-5/2)x - 8

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