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3 years ago

In a direct proportion y = kx, the number k is called the constant of

Mathematics

2 answers:

expeople1 [14]3 years ago

7 0

The Constant of Proportionality

AleksandrR [38]3 years ago

4 0

*Proportionality*. If you divide both sides of the equation by x, you’ll see why: k = y/x, or the *proportion* of y to x.

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The percentage of households in the u.S. With cable television increased from 22.5%in 1980 to 68% in 2000. What was the increase

Arada [10]

Answer: The increase in the percent of household with cable television = 45.5%.

Step-by-step explanation:

Given : The percentage of households in the u.S. With cable television increased from 22.5% in 1980 to 68% in 2000.

i.e. Previous percentage in 1980 = 22.5%

New percentage in 2000= 68%

Now , the increase in percentage = (New percentage) - ( Previous percentage )

= 68% - 22.5%

= 45.5%

Hence, the increase in the percent of household with cable television = 45.5%.

4 0

4 years ago

Reduce to simplest form. -\dfrac{1}{3}-\left(-\dfrac{3}{5}\right)=− 3 1 −(− 5 3 )=minus, start fraction, 1, divided by, 3, e

nevsk [136]

Answer:

-1/3 - (-3/5) = 4/15

Step-by-step explanation:

Reduce to simplest form

-1/3 - (-3/5)

= -1/3 + 3/5

Find the Lowest Common Multiple of 3 and 5

Lowest Common Multiple of 3and 5 is 15

Use the LCM to Simplify

= {(-5*1)+(3*3)} / 15

= (-5+9) / 15

= 4/15

Therefore,

-1/3 - (-3/5) = 4/15

7 0

3 years ago

Read 2 more answers

X^+5x+8=0<br> What is the answer to this question

ira [324]

Step-by-step explanation:

X^+5x+8=0

x^2+5x=-8 kajvdvdhxjxjjxjxjxjxhx

5 0

3 years ago

A TV company when purchasing thousands electronic components apply this sampling plan: randomly select 15 of them and then accep

katrin [286]

<h2>Answer with explanation:</h2>

According to the Binomial probability distribution ,

Let x be the binomial variable .

Then the probability of getting success in x trials , is given by :

$P(X=x)=^nC_xp^x(1-p)^{n-x}$ , where n is the total number of trials or the sample size and p is the probability of getting success in each trial.

As per given , we have

n = 15

Let x be the number of defective components.

Probability of getting defective components = P = 0.03

The whole batch can be accepted if there are at most two defective components. .

The probability that the whole lot is accepted :

$P(X\leq 2)=P(x=0)+P(x=1)+P(x=2)\\\\=^{15}C_0(0.03)^0(0.97)^{15}+^{15}C_1(0.03)^1(0.97)^{14}+^{15}C_2(0.03)^2(0.97)^{13}\\\\=(0.97)^{15}+(15)(0.03)^1(0.97)^{14}+\dfrac{15!}{2!13!}(0.03)^2(0.97)^{13}\\\\\approx0.63325+0.29378+0.06360=0.99063$

∴The probability that the whole lot is accepted = 0.99063

For sample size n= 2500

Expected value : $\mu=np= (2500)(0.03)=75$

The expected value = 75

Standard deviation : $\sigma=\sqrt{np(1-p)}=\sqrt{2500(0.03)(0.97)}\approx8.53$

The standard deviation = 8.53

6 0

3 years ago

ella [17]

Given:

Two similar rectangles.

To find:

The area of the larger rectangle.

Solution:

Let x be the other side of the larger rectangle.

Corresponding sides of similar figures are always congruent.

$\dfrac{x}{1}=\dfrac{4}{2}$

$x=2$

The other side of larger rectangle is 2 cm.

We know that, area of rectangle is

$Area=Length\times Width$

So, area of the larger rectangle is

$Area=4\times 2$

$Area=8$

Therefore, the area of the larger rectangle is 8 sq. cm.

6 0

3 years ago