All categories

3 years ago

Name the constant of proportionality for the equation below: y = -2/3 x

Mathematics

1 answer:

worty [1.4K]3 years ago

8 0

Answer:

$-\dfrac{2}{3}$

Step-by-step explanation:

When variable y is said to be proportional to another variable x, it is written as:

$y \propto x$

To introduce the equality sign, we introduce what is called the constant of proportionality, say k and write the above as:

y=kx

Comparing the given equation:

$y=-\frac{2}{3}x$

We can see that our constant of proportionality:

$k=-\dfrac{2}{3}$

You might be interested in

F(x) = 3/(x + 2) - sqrt(x - 3) complete the following statement: f(19)=

liberstina [14]

Answer:

f(19)=3/21-4=-3.857

Step-by-step explanation:

f(x)=3/(x+2)-sqrt(x-3)

f(19)=3/(19+2)-sqrt(19-3)

f(19)=3/21-sqrt(16)

f(19)=3/21-4

f(19)=-3.857

5 0

3 years ago

87.5 ml = _____ liters?

BARSIC [14]

Hey! Your answer would be 0.0875L

7 0

3 years ago

Read 2 more answers

An angle measures 6° less than the measure of a complementary angle. what is the measure of each angle?

Sauron [17]

A and 90-a is the measure of the two angles

a=90-a-6
2a=84
a=42
42° and 48°

3 0

3 years ago

64% of US adults have very little confidence in newspapers you randomly select 10 US adults find the probability that the number

9966 [12]

Answer:

A) 0.1636

B) 0.7292

C) 0.0305

Step-by-step explanation:

This is a binomial probability distribution question that follows;

P(X = x) = nCx × p^(x) × q^(n - x)

In this case, p = 64% = 0.64

q = 1 - p = 1 - 0.64 = 0.36

Thus;

A) P(exactly 5) = P(5) = 10C5 × 0.64^(5) × 0.36^(10 - 5) = 0.1636

B) P(at least 6) = P(x ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)

P(6) = 10C6 × (0.64^(6)) × (0.36^(10 - 6)) = 0.2424

P(7) = 10C7 × (0.64^(7)) × (0.36^(10 - 7)) = 0.2462

P(8) = 10C8 × (0.64^(8)) × (0.36^(10 - 8)) = 0.1642

P(9) = 10C9 × (0.64^(9)) × (0.36^(10 - 9)) = 0.0649

P(10) = 10C10 × (0.64^(10)) × (0.36^(10 - 10)) = 0.0115

Thus;

P(x ≥ 6) = 0.2424 + 0.2462 + 0.1642 + 0.0649 + 0.0115

P(x ≥ 6) = 0.7292

C) P(x < 4) = P(0) + P(1) + P(2) + P(3)

From online binomial probability calculator, we have;

P(x < 4) = 0.0305

5 0

3 years ago

16) Your salary goes from $8.75 an hour at your present job to $16.50 an hour in your new job. What is

Agata [3.3K]

Answer:

The percent change in salary from one job to the next is 88.57%.

Step-by-step explanation:

The previous salary of per hour = $8.75 per hour

The current salary of per hour = $16.50 per hour

Change in the salary rate per hour = Current salary - Previous Salary

= $16.50 per hour - $8.75 per hour

=$7.75 per hour

⇒The change in the salary per hour rate is $7.75

Now, $\textrm{Percentage Change in salary} = \frac{\textrm{Change in the rate of salary}}{\textrm{Previous Salary}} \times 100$

= $\frac{7.75}{8.75} \times 100 = 88.57$

or, the change in salary percentage is 88.57%

Hence, the percent change in salary from one job to the next is 88.57%.

4 0

3 years ago