Find the distance between the two given points. Round to the nearest tenth.

A water tank is being drained at a steady rate. The initial level of the water in the tank was 5.5 feet. The graph below shows t

Brrunno [24]

Hi, I understand your question but I don't see the graph.

4 0

2 years ago

A company surveyed adult Americans about their consumer debt. They reported that 48% of Millennials (those born between 1980 and

sergeinik [125]

Answer:

We reject H₀ at 95 % of CI the group of Gen Xers who do not pay their credit card each month, is greater than this proportion for Millennians

Step-by-step explanation:

Sample proportion 1: Born between 1980 and 1996

sample size n₁ = 450

p₁ = 0,48 p₁ = 48 %

x₁ = 0,48 * 450 x₁ = 216

Sample proportion 2: Born between 1965 and 1971

sample size n₂ = 300

p₂ = 0,60 p₂ = 60%

x₂ = 0,6* 300 x₂ = 180

Test Hypothesis:

Null Hypothesis H₀ p₂ = p₁

Alternative Hypothesis H p₂ > p₁

Samples both big enough to use the normal distribution as an approximation to the binomial distribution.

We assume CI = 95 % then significance level α = 5 % the alternative hypothesis tells us that we need to develop a one-tail test to the right.

z-score is z(c) for α = 0,05 from z-table z(c) = 1,64

To calculate z(s)

z(s) = ( p₂ - p₁ ) / √ p*q ( 1 /n₁ + 1 / n₂)

p₂ - p₁ = 0,60 - 0,48

p₂ - p₁ = 0,12

p = ( x₁ + x₂ ) / n₁ + n₂

p = ( 216 + 300) / 450 + 300

p = 516 / 750 p = 0,688 then q = 1 - p q = 0,312

z(s) = 0,12 / √ 0,688*0,312* ( 1/450) + 1/ 300)

z(s) = 0,12 / √ 0,2146* ( 0,0022 + 0,0033)

z(s) = 0,12 / √ 0,001192

z(s) = 0,12/ 0,03452

z(s) = 3,47

Comparing |z(c)| and |z(s)|

z(s) > z(c)

Then z(s) is in the rejection region. We reject H₀.

We can support the claim that the proportion of the group Gen Xers who do not pay their credit card is greater than Millennians

6 0

2 years ago

Identify the constant of<br> proportionality (k)<br> 8Y = 16x<br> k=

RUDIKE [14]

Answer:

JUST WRITE THIS AS YOUR ANSWER

Step-by-step explanation:

Step 1: Put together the general equation.

Step 2: Solve for the constant of proportionality.

Step 3: Plugging the constant into the equation, solve for the unknown variable.

Let's solve a few problems to see how this works, shall we?

Example 1: Y is directly proportional to x. When x = 5, y = 8. What does y equal when x = 9?

First, we set up our general equation. Because y is directly proportional to x, we have:

y = cx

where c is the constant of proportionality. In other words, when x goes up, y goes up, and when x goes down, y goes down.

The next thing we do is plug our values for x and y into the equation so we can solve for c:

8 = (c)(5)

Solving for c, we get c = 8/5 = 1.6 and we plug this into our equation:

y = 1.6x

Now, we can plug x = 9 into the equation to find out what y equals:

y = (1.6)(9)

y = 14.4

So, our answer is 14.4

Example 2: Y is directly proportional to the square of x. When x = 2, y = 32. What does y equal when x = 5?

This time, our general equation is slightly more complicated because x is squared:

y = cx2

Like before, we solve for our constant:

32 = (c)(22)

32 = (c)(4)

We get c = 8:

y = 8x2

Solving for y when x = 5, we get y = (8)(52) = (8)(25) = 200

Example 3: Y is inversely proportional to x. When x = 2, y = 8. What does y equal when x = 24?

This time, because y is inversely proportional to x, our general equation is different:

xy = c

so when x goes up, y goes down, and vise versa. But, other than that, we solve these kinds of problems the same way as direct proportion problems. Solving for the constant, we get:

(2)(8) = c

So c = 16 and our equation is now:

xy = 16

Solving for y when x = 24 we get y = 16/24 = 2/3

Example 4: Y is inversely proportional to the square root of x. When x = 36, y = 2. What does y equal when x = 64?

As before, we set up our equation:

eq001

Since the square root of 36 is 6, it is easy to solve for c:

(6)(2) = c

We get c = 12 and our equation is now:

eq002

Solving for y when x = 64 we get 8y = 12 or y = 12/8 = 1.5 because the square root of 64 is 8.

6 0

2 years ago

An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, s

aivan3 [116]

Answer: The answer is 314.28 cm² (approx.).

Step-by-step explanation: Given that an engineer is going to install a new water pipe. The diameter of this circular pipe is, d = 20 cm.

We need to find the area 'A' of the circular cross-section of the pipe.

Given, diameter of the circular section is

$\textup{d}=20~\textup{cm}.$

So, the radius of the circular cross-section will be

$\textup{r}=\dfrac{\textup{d}}{2}=\dfrac{20}{2}=10~\textup{cm}.$

Therefore, cross-sectional area of the pipe is

$\textup{A}=\pi \textup{r}^2=\dfrac{22}{7}(10)^2=\dfrac{2200}{7}=314\dfrac{2}{7}=314.28~.~.~.~\textup{cm}^2.$

Thus, the answer is 314.28 cm² (approx.).

4 0

3 years ago

HELP FAST I JUST NEED ANSWER

lukranit [14]

Answer:

449.60 or yellow

Step-by-step explanation:

5 0

2 years ago