1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
larisa86 [58]
3 years ago
10

Of all rectangles with a fixed perimeter of​ p, which one has the maximum​ area? (give the dimensions in terms of​ p.)

Mathematics
1 answer:
TiliK225 [7]3 years ago
8 0
<span>For all rectangles with a fixed perimeter of p the rectangle with the maximum area is one where the length is p/4 and the width is p/4, in other words a square. The area of such a rectangle would be (p*p) /16.</span>
You might be interested in
Help please ASAPP pleaseee
vagabundo [1.1K]
I think it’s the first option
6 0
2 years ago
Sophia bought snacks for her team's practite. She bought a bag of chips for $1.84 and
Sergeeva-Olga [200]
$8.10 hope this is right
7 0
3 years ago
Read 2 more answers
Mother has purchased 75 yards of green fabric and 125 yards of white fabric to make green and white curtains. What is the larges
andrew11 [14]

Answer:

your answer would be 190 all u do is add

Step-by-step explanation:


7 0
3 years ago
U GET BRAINLIEST IF ANSWER CORRECTLY
tangare [24]
1)5/24
2)1 and 1/3 im not sure 
3)1 and 1/3
4)1/7
7 0
2 years ago
fluorescent light factory that manufactures fluorescent lights that have a lifetime that is approximately normally distributed w
EastWind [94]

Answer:

The p-value obtained is greater than the significance level at which the test was performed, hence, we fail to reject the null hypothesis & say that there is enough evidence to conclude that the mean life of the fluorescent lights is 700 hours

Step-by-step explanation:

Complete Question

fluorescent light factory that manufactures fluorescent lights that have a lifetime that is approximately normally distributed with a mean of 700 hours and a standard deviation of 45 hours. Test the hypothesis that mean is 700 hours against the alternative hypothesis that the mean is not equal to 700 hours, if a random sample of 30 bulbs has an average life of 688 hours. Use a P-value in your answer.

Solution

For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

For this question, the null hypothesis is that the mean life of the fluorescent lights is 700 hours.

The alternative hypothesis will now be that the mean life of the fluorescent lights is significantly different from 700 hours.

Mathematically,

The null hypothesis is represented as

H₀: μ = 700

The alternative hypothesis is represented as

Hₐ: μ ≠ 700

To do this test, we will use the z-distribution because no information on the population standard deviation is known

So, we compute the z-test statistic

z = (x - μ₀)/σₓ

x = sample mean = 688 hours

μ₀ = 700 hours

σₓ = standard error = (σ/√n)

σ = standard deviation = 45 hours

n = Sample size = 30

σₓ = (45/√30) = 8.2158383626 = 8.216

z = (688 - 700) ÷ 8.216

z = 1.46

checking the tables for the p-value of this z-statistic

Significance level = 0.05 (This is used when significance level isn't given)

The hypothesis test uses a two-tailed condition because we're testing in two directions.

p-value (for z = 1.46, at 0.05 significance level, with a two tailed condition) = 0.14429

The interpretation of p-values is that

When the (p-value > significance level), we fail to reject the null hypothesis and when the (p-value < significance level), we reject the null hypothesis and accept the alternative hypothesis.

So, for this question, significance level = 0.05

p-value = 0.14429

0.14429 > 0.05

Hence,

p-value > significance level

This means that we fail to reject the null hypothesis & say that there is enough evidence to conclude that the mean life of the fluorescent lights is 700 hours.

Hope this Helps!!

6 0
3 years ago
Other questions:
  • Helpppppppp please ugh
    11·2 answers
  • There are 2 seats on the left side on each row and 3 seats on the right side there are 90 seats on the right side of the plane h
    15·1 answer
  • Two hundred billion four hundred million expanded form
    11·2 answers
  • You and your friend are both saving your allowance for your summer vacation you have $48.50 in the bank
    14·1 answer
  • Please tell me the what to do with this problem
    6·2 answers
  • Please answer correctly, will mark brainliest
    5·1 answer
  • Find the slope of the line that passes through each pair of points.<br> (-3, 4) and (2, -3)
    10·1 answer
  • Find the interquartile range (IQR) of the data in the dot plot below
    12·1 answer
  • Solve for <br><br>kx+ 3x= 4 for x
    11·1 answer
  • Principal: $4,000 at 6% for a) 4 years, b) 4 months, and c) 4 days.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!