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3 years ago

Y=1/2x Y= 4x Y= 1/4 x Y= 2 x

Mathematics

1 answer:

steposvetlana [31]3 years ago

3 0

It's a line in form y = mx.

Two points:

(0, 0) and (1, 4)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute:

$m=\dfrac{1-0}{4-0}=\dfrac{1}{4}$

Answer: $y=\dfrac{1}{4}x$

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Solve the inequality. -2(w+4) +9<-11

11111nata11111 [884]

Answer:

w>6

Step-by-step explanation:

1.) you will distribute the -2 into the parentheses.

-2w-8+9<-11

2.) combine like terms

-2w+1<-11

3.) isolate the variable

-2w<-12

4.) continue to isolate the variable

w>6

(the sign will flip because if the negative devision)

7 0

3 years ago

Please help me with my homework.

QveST [7]

Answer:

47.6 maybe?

Step-by-step explanation:

8 0

3 years ago

The National Health Interview Survey conducted of 33,326 adults by the U.S. National Center for Health Statistics in 2003 indica

ra1l [238]

Answer:

Step-by-step explanation:

Hello!

You have the data of two The National Health Interview Survey conducted in 1991 and 2003 by the U.S. National Center for Health Statistics.

Let

X₁: The number of adults that were smokers in 1991

n₁= 42000

p'₁= 0.256

X₂: The number of adults that were smokers in 2003

n₂= 33326

p'₂= 0.214

The parameter of interest is the difference between the population proportion of adult smokers in 1991 and the population proportion of adult smokers in 2003, symbolically: "p₁ - p₂"

a) The point estimate of "p₁ - p₂" ios the difference between the sample proportions:

p'₁ - p'₂= 0.256-0.214= 0.042

b) and c)

To estimate the difference of proportions using a CI, you have to apply the central limit theorem and approximate the distribution of the sample proportions to normal. for this approximation to be valid, the sample size for both populations should be high enough (n≥30) and the populations should be at least 20 times bigger than the sample taken. Both samples should be random and independent. Each sample must have at least 10 successes and at least 10 failures. If all conditions are met you can calculate the 99% CI as:

(p'₁-p'₂)± $Z_{1-\alpha /2}$ * $\sqrt{\frac{p'_1(1-p'_1){n_1} +\frac{p'_2(1-p'_2)}{n_2} }$

$Z_{1-\alpha /2}= Z_{0.995}= 2.586$

(0.042) ± 2.586* $\sqrt{\frac{0.256*0.744}{42000} +\frac{0.214*0.786}{33326} }$

[0.034; 0.050]

Using a 99% confidence level you'd expect that the interval [0.034; 0.050] will include the true value of the difference between the proportion of adult smokers in 1991 and the proportion of adult smokers in 2003.

I hope this helps!

7 0

3 years ago

An entrepreneur estimates his total profit (total revenue minus total cost) for his proposed company as p(x) = x3 − 4x2 + 5x − 2

nikitadnepr [17]

To "break even" means that the costs are equal to the money made, so profit would have to be 0. Therefore, we can rewrite the equation to be
0 = x3 -4x2 +5x -20

From here, all you have to do is factor to be able to solve for the values of x

First, since the first two numbers both have an x2, we can factor that out
x2(x-4) + 5x -20 = 0

The next two can factor out a 5
x2(x-4) + 5(x-4) =0

Since both of these terms share an (x-4), they can be factored to become:
(x-4) (x2 +5) = 0

So now we just solve for x, and get x = 4, and +- (sqrt) 5i

Since 4 is the only answer present in the options (and since 5i is a non-real number), the answer would be 4

ANS: D

Hope this helped ^-^

7 0

3 years ago

Read 2 more answers

What is the surface area of the cube, in square inches?

kirill115 [55]

Answer:

The surface area of the cube is 648.96 sq in.

Step-by-step explanation:

This problem is made a lot easier by the fact that it's a cube.

So we first calculate the area of one of the faces. The length of the side of the side is 10.4 inches, and 10.4 * 10.4 = 100.16.

There are six faces, so we multiply the area of 1 face by 6. 100.16 * 6 = 648.96.

Therefore, the surface area of the cube is 648.96 sq inches.

Hope This Helps!

3 0

3 years ago