Reduce 25\ 1000 to its lowest terms

A certain company's main source of income is selling socks. The company's annual profit (in millions of dollars) as a function o

ivann1987 [24]

A quadratic function models the profit of the company and the maximum/minimum value of the quadratic function occurs on its vertex.

The given function is:

$P(x)=-3(x-5)^{2}+12$

The equation is already in standard form, the vertex of the parabola as seen from the equation is (5,12)

This mean if the company sets the price of socks to $5 they will earn a maximum profit which is $ 12 million

3 0

3 years ago

Read 2 more answers

hammer [34]

Answer:

The test statistic is z=2.5.

The null hypothesis is rejected.

There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that more than 10% of the 16 ounce cups are underfilled.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.1\\\\H_a:\pi>0.1$

The significance level is assumed to be 0.05.

The sample has a size n=100.

The sample proportion is p=0.18.

$p=X/n=18/100=0.18$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.1*0.9}{100}}\\\\\\ \sigma_p=\sqrt{0.001}=0.03$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.18-0.1-0.5/100}{0.03}=\dfrac{0.075}{0.03}=2.5$

This test is a right-tailed test, so the P-value for this test is calculated as:

$P-value=P(z>2.5)=0.006$

As the P-value (0.006) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.

7 0

3 years ago

Sarah wants to buy carpet for a square room with an area of 400sq ft.

zavuch27 [327]

Sarah wants to buy a carpet for a square room with an area of 400sq ft.

the length of the room is 20ft.

Area is a quantity that describes the extent of an area on a plane or curved surface. The area of a planar region or planar region refers to the area of a shape or planar layer, and surface area refers to the area of an open surface or boundary of a three-dimensional object. Wikipedia

The area is the area occupied by a two-dimensional figure. That is, it is a quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is the square unit, commonly expressed in square inches, square feet, and so on.

Learn more about area here

brainly.com/question/17713367

#SPJ1

6 0

1 year ago

The formula to determine the period of one swing of a simple pendulum is

Sonbull [250]

Answer:

byfyfutxfjjtudhxfuxhfxfjcgjv

Step-by-step explanation:

I don't no

6 0

2 years ago

Devon records 4 hours of reality shows on her DVR she records comedy shows for 3/8 of that amount of time. Devon watches all the

Alenkinab [10]

The number of half-hour sittings needed to watch all the shows by Devon is 11

<u>Solution:</u>

Given, Devon records 4 hours of reality shows on her DVR

she records comedy shows for 3/8 of that amount of time.

$\rightarrow \frac{3}{8} \text { of } 4 \text { hours } \rightarrow \frac{3}{8} \times 4 \rightarrow \frac{3}{2} \text { hours }$

Devon watches all the reality and comedy shows in half-hour sittings.

We have to find the number of half-hour sittings needed to watch all the shows

Now, number of half hour sittings is given as

$=\frac{\text { total time of videos }}{\text { time for hlaf hour sitting }}$

$\begin{array}{l}{=\frac{4 \text { hours for reality shows }+\frac{3}{2} \text { hours for comedy shows }}{\frac{1}{2} \text { hours for each sitting }}} \\\\ {=\frac{4+\frac{3}{2}}{\frac{1}{2}}=\frac{\frac{8+3}{2}}{\frac{1}{2}}=\frac{\frac{11}{2}}{\frac{1}{2}}=\frac{11}{2} \times \frac{2}{1}=11}\end{array}$

Hence Devon needs 11 sittings

3 0

3 years ago

Reduce 25\ 1000 to its lowest terms​

Reduce 25\ 1000 to its lowest terms