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2 years ago

What is equivalence scale?

Mathematics

1 answer:

siniylev [52]2 years ago

5 0

Answer:

A household equivalence scale allows for transforming the income in an n-member household into an equivalent one-adult-member household.

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Describe and correct the error the student made when writing the equation of the line that passes through (-8,5)

pshichka [43]

Option D (The student should have used as the slope of the perpendicular line.) is correct.

Step-by-step explanation:

We need to identify the error that the student made in finding equation of the line that passes through (-8,5) and is perpendicular to y = 4x + 2

The slope of the required line would me -1/m because both lines are perpendicular.

So, slope of new line will be: -1/4

because the equation of slope-intercept form is: $y=mx+b$ where m is the slope

Now, for finding equation the student used point slope form i.e $y-y_1=m(x-x_1)$

where y_1 and x_1 are the points and m is the slope.

Putting values:

x_1=-8, y_1=5 and m=-1/4

$y-5=-\frac{1}{4}(x-(-8))\\y-5=-\frac{1}{4}(x+8)\\y-5=-\frac{1x}{4}-2\\y=-\frac{1x}{4}-2+5\\y=-\frac{1x}{4}+3$

This is the correct solution.

The student made error by using the wrong slope he used 2 instead of -1/4

in the step $y-5 = 2(x-(-8))$

So, Option D (The student should have used as the slope of the perpendicular line.) is correct.

Keywords: Equation of line using Slope

Learn more about Equation of line using Slope at:

#learnwithBrainly

3 0

2 years ago

Read 2 more answers

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe

Naddik [55]

Answer:

P (X ≤ 4)

Step-by-step explanation:

The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes. It does not find the probability for a range of successes, as in this case.

The range "x≤4" means x = 0 or x = 1 or x = 2 or x = 3 or x = 4, so there are five different probability calculations to do.

To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are Mutually Exclusive. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.

The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)

Therefore, the probability of x<4 successes is P (X ≤ 4)

3 0

3 years ago

HELP PLEASE!!! Which of the following is not a true statement about solving two-step equations?

tensa zangetsu [6.8K]

C= two step equations require all number to be whole number in order to solve.

Here is an example that disproves that:
.5x + 8= 18
 -8 -8
.5x = 10
.5 .5

x = 20 (.5 is certainly not a whole number but I solved it anyway)

6 0

2 years ago

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Which number line shows all the values of that make the inequality - 3x +1 < 7 true?

Yakvenalex [24]

Answer:

Step-by-step explanation:

First, simplify the equation.

-3x+1<7

-3x<6

x>-2 (the sign flips because you are dividing by negative)

> means x is greater than -2 so the line will go towards the right.

Because the sign is >, the dot is open.

5 0

2 years ago

Pls help me asap !!!!!

Phantasy [73]

Answer:

Step-by-step explanation:

This is a right triangle. We can use the Pythagorean theorem to determine the missing side.

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 + 12 ^2 = 15^2

a^2 +144 =225

a^2 = 225-144

a^2 = 81

Taking the square root of each side

a = 9

8 0

2 years ago

Read 2 more answers

What is equivalence scale?​

What is equivalence scale?