Ask question

Ask question

All categories

3 years ago

10

The area of a rectangle is 54 5454 square meters. The width is 9 99 meters long. Which equation correctly relates the given info

rmation and the length, ℓ ℓell?

1 answer:

notsponge [240]3 years ago

4 0

Answer:

it is longer than 1/3

Step-by-step explanation:

You might be interested in

The number of entrees purchased in a single order at a Noodles & Company restaurant has had an historical average of 1.35 en

trasher [3.6K]

Answer:

a) 0.3571

b) The p-value is 0.362007.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 1.35

Sample mean, $\bar{x}$ = 1.4

Sample size, n = 26

Alpha, α = 0.01

Sample standard deviation, s = 0.7

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 1.35\text{ entrees per order}\\H_A: \mu > 1.35\text{ entrees per order}$

We use One-tailed t test to perform this hypothesis.

a) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n-1}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{1.4 - 1.35}{\frac{0.7}{\sqrt{25}} } = 0.3571$

b) The p-value at t-statistic 0.3571 and degree of freedom 25 is 0.362007.

4 0

3 years ago

Helppp meee plssss

Volgvan

Answer:

Cost of fish = Php. 60, amount of fish = x kg
Cost of chicken = Php. 120, amount of chicken = y kg
Budget = at most Php. 1200

a) <u>Required inequality (not a system as only one condition is given):</u>

60x + 120y ≤ 1200

<u>Simplified:</u>

x + 2y ≤ 20

<em>The graph is attached</em>

b) <u>Verify ordered pair (10, 7):</u>

10 + 2*7 ≤ 20
24 ≤ 20

False inequality, so this pair is out of solution set

8 0

3 years ago

He cost, in millions of dollars, of building a three-story high school in new york state was estimated to be c(x) = 2.1 + 0.12x

ratelena [41]

Given cost function is

c(x) = $2.1 + 0.12x - 0.0001x^2$ (20 ≤ x ≤ 400)

where x is the number of thousands of square feet

total revenue will be $0.2 million dollars per thousand square feet

Revenue is 0.2 millions per thousand square feet. we know x is the number of thousand of square feet

So R(x) = 0.2x

We know Profit = Revenue - Cost

P(x) = R(x) - C(x)

$P(x) = 0.2x - (2.1 + 0.12x - 0.0001x^2)$

$P(x) = 0.2x - 2.1 - 0.12x + 0.0001x^2)$

combine like terms

$P(x) =-2.1 + 0.08x + 0.0001x^2$

Profit function is

$P(x) =0.0001x^2 + 0.08x - 2.1$

5 0

3 years ago

A salesperson at a jewelry store earns 9% commission each week. Last week, Jarrod sold $ 720 worth of jewelry. How much did he

yawa3891 [41]

He made $64.80 commission I think. 9% of $720 is $64.80

6 0

3 years ago

Read 2 more answers

The Internal Revenue Service (IRS) provides a toll-free help line for taxpayers to call in and get answers to questions as they

sukhopar [10]

Answer:

From the result of the one-tailed z-test, we can conclude that the mean waiting time is not significantly less than the the 15 minute claim by the taxpayer advocate.

Step-by-step explanation:

Sample size = 50

Mean waiting time = 13 minutes

Standard deviation = 11 minutes

We need to perform one hypothesis test that the actual mean waiting time turned out to be significantly less than the 15-minute claim made by the taxpayer advocate.

The null hypothesis would be that there is no significant difference.

H₀: μ₀ = 15 minutes

The alternative hypothesis would be that the mean waiting time is indeed significantly less than the 15-minute claim by the taxpayer advocate.

Hₐ: μ₀ < 15 minutes.

This is evidently a one tail hypothesis test (we're investigating only in one direction; less than the claim). Hence, we can use the z-test

z = (x - μ)/σₓ

σₓ = (σ/√n) = (11/√50) = 1.556

z = (13 - 15)/1.556 = - 1.29

Using the z-table at significance level of 0.05.

p-value = 1 - 0.9115 (from the z-tables)

p-value = 0.0885

Since the p-value is more than the significance level (0.0885 > 0.05), we do not reject the null hypothesis.

Hence, we accept the null hypothesis and can conclude that the mean waiting time is not significantly less than the the 15 minute claim by the taxpayer advocate.

Hope this Helps!!!

4 0

3 years ago