Question 2A square room of side length x is made 5 m longer (its width stays the same). What is the new area
of the room?

Answers

Answer 1

Answer:

Answer:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

Step-by-step explanation:

The area of any quadrilateral can be determined by multiplying the length of its base by its height. Since we know the shape here is square, we know that all sides are of equal length. From this we can work backwards by taking the square root of the area to find the length of one side. hope this helps you :)

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An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75. A sample of 30 days reveals a daily average revenue of $625. If you were to test the null hypothesis that the daily average revenue was $675, which test would you use?

a. Z-test of a population mean

b. Z-test of a population proportion

c. t-test of population mean

d. t-test of a population proportion

Answers

The Z-test of a population mean is used here because it is given that the population standard deviation is $75. The correct option is a).

Given :

The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75.
A sample of 30 days reveals a daily average revenue of $625.

Let $\mu$ is the daily average revenue. So:

Null Hypothesis is, $\rm H_0:\mu=$675$

The Alternate Hypothesis is, $\rm H_a : \mu\neq $675$

Here, the Z-test of a population mean is used because it is given that the population standard deviation is $75.

$\rm Test \;Statistics = \frac{\bar{X}-\mu}{(\sigma)/(√(n) )}$

where $\rm \bar {X}$ is the sampleaverage revenue, $\sigma$ is the standard deviation and n is the sample size.

Therefore, the correct option is a).

For more information, refer to the link given below:

brainly.com/question/13245779

Answer:

We would use Z-test of a population mean.

Step-by-step explanation:

We are given that an entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75. A sample of 30 days reveals a daily average revenue of $625.

And we have to test the hypothesis that the daily average revenue was $675.

Firstly, as we know that testing is always done on the population parameter.

So, let $\mu$ = daily average revenue over the pat 5 years

So, Null Hypothesis, $H_0$ : $\mu$ = $675

Alternate Hypothesis, $H_a$ : $\mu \neq$ $675

Here, null hypothesis states that the owner's claim of average daily revenue was $675 over the past 5 years is correct.

And alternate hypothesis states that the owner's claim of average daily revenue was $675 over the past 5 years is not correct.

The test statistics that will be used here is Z-test of a population mean because here we have knowledge of population standard deviation of $75.

Test statistics = $(\bar X-\mu)/((\sigma)/(√(n) ) )$ ~ N(0,1)

where, $\bar X$ = sample average revenue = $625

$\sigma$ = population standard deviation = $75

n = sample of days = 30

Therefore, to test the null hypothesis that the daily average revenue was $675, we should use Z-test of a population mean.

What is the portion that repeats of the repeating decimal of seven thirteenths

Answers

Answer:

hi want to talk to me ?

Step-by-step explanation:

Answer:

7 13/100

Step-by-step explanation:

For the equation y = 2x2 - 5x + 18, choose the correct
application of the quadratic formula.

Answers

Answer:

Option (2)

Step-by-step explanation:

For a quadratic equation,

ax² + bx + c = 0

roots of this equation can be determined by using quadratic formula,

x = $(-b\pm√(b^2-4ac))/(2a)$

Comparing this quadratic equation with the given equation,

y = 2x² - 5x + 18 = 0

a = 2

b = (-5)

c = 18

By substituting these values in the given formula,

x = $(5\pm√((-5)^2-4(2)(18)) )/(2(2))$

Therefore, Option (2) will be the answer.

Given the function and the graph below, please answer the following:

Answers

The given quadratic function is

$f(x)=(-x-1)^2+3$

It represented graphically by an upward parabola

Since the parabola is upward, then it has a minimum vertex

From the graph, the minimum vertex is (-1, 3)

Then let us answer the questions

Maximum point: None

Minimum point: (-1, 3)

To find f(-5), substitute x by 5 in the function above

$\begin{gathered} f(-5)=(--5-1)^2+3 \n f(-5)=(5-1)^2+3 \n f(-5)=(4)^2+3 \n f(-5)=16+3 \n f(-5)=19 \end{gathered}$

To find f(6), substitute x by 6 in the function above

$\begin{gathered} f(6)=(-6-1)^2+3 \n f(6)=(-7)^2+3 \n f(6)=49+3 \n f(6)=52 \end{gathered}$

The answers:

f(-5) = 19

f(6) = 52

Suppose y varies inversely with X, and y = 48 when x = 3. What is the value of x when y = 24?NO LINKS OR ANSWERING YOU DON'T KNOW.

a. 3
b. 12
c. 6
d. 24