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
Irina-Kira [14]
3 years ago
5

To cover a rectangular region of her yard, Penny needs at least 155 square feet of sod. The length of the

Mathematics
1 answer:
Tasya [4]3 years ago
5 0

<u><em>To cover a rectangular region of her yard, Penny needs at least 170.5 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?</em></u>

<u><em></em></u>

<u><em>L=length=15.5 ft; W=width; A=area=>170.5 sq ft</em></u>

<u><em></em></u>

<u><em>L*W=>170.5 sq ft Divide each side by L</em></u>

<u><em></em></u>

<u><em></em></u>

<u><em>W=>170.5 sq ft/L</em></u>

<u><em></em></u>

<u><em>W=>170.5 sq ft/15.5 ft=>11 feet</em></u>

<u><em></em></u>

ANSWER: To cover at least 170.5 sq ft. the width must be at least 11 feet.

<h2><em><u>Brainly pls</u></em></h2>

You might be interested in
How to find a missing angle
Tju [1.3M]
We can use two different methods to find our missing angle:
Subtract the two known angles from 180° :
Plug the two angles into the formula and use algebra: a + b + c = 180°
8 0
3 years ago
Read 2 more answers
Find the sum of a 9-term geometric sequence when the first term is 4 and the last term is 1,024 and select the correct answer be
kvasek [131]
The answer is 4+8+16+32+64+128+256+512+1024: This is equivalent to 2044
4 0
3 years ago
Read 2 more answers
The Ohio Department of Agriculture tested 203 fuel samples across the state
Rus_ich [418]

Answer:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

Step-by-step explanation:

Previous concept

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The proportion estimated would be:

\hat p = \frac{14}{105}= 0.133

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475

0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185

The 99% confidence interval would be given by (0.0475;0.2185)

3 0
3 years ago
Read 2 more answers
Mr. jay went for a Sunday drive with the family in his monster truck which he calls Big Thunder. He had the cruise control set a
Sloan [31]
57 miles because of they are driving 38 miles per hour that means in 1 hour they drive 38 miles. So if they drove for an hour and a half you take 38 and half of 38( which is 15) and you add them together.
3 0
2 years ago
What is the relationship between a scalene triangle and the location of its orthocenter? Explain.
Sladkaya [172]

D:

The orthocenter will be inside, on, or outside the scalene triangle, depending on whether it is acute, right, or obtuse, respectively. The number of congruent sides does not affect the location of the orthocenter.

5 0
3 years ago
Other questions:
  • Find the period of the function. y = 5 cos one divided by twox
    8·1 answer
  • How do you convert 0.991 into a fraction
    5·2 answers
  • Please answer it now
    13·1 answer
  • A lumber company is making boards that are 2564.0 millimeters tall. If the boards are too long they must be trimmed, and if the
    8·1 answer
  • What is the surface area? 5cm, 4cm, 6cm, 5cm &amp; 5cm
    7·1 answer
  • Write an expression that has 5 terms and that is equivalent to 5x +y.
    11·1 answer
  • How do you determine the x and y-intercepts from an equation or graph?
    14·2 answers
  • Emily went to Kroger to buy some fruit. She needs a dozen apples and some bananas. A dozen organic apples costs $11.45 and each
    7·1 answer
  • Topic 12 Online math help
    8·1 answer
  • Bart and Art’s ages currently are in the ratio 4 : 5. In four years, their ages will be in the ratio 9 : 11. How old are they no
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!