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
gavmur [86]
3 years ago
12

A quadrilateral has its four points at the coordinates (1,1) , (-3,1) , (1,4) , & (-3,4). What type of quadrilateral is it?

a) kite b) rectangle c) square d) trapezoid
Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0
It's is a square and you know just by graphing it
You might be interested in
A sanitation department is interested in estimating the mean amount of garbage per bin for all bins in the city. In a random sam
soldi70 [24.7K]

Answer:

a) 52.8-2.02\frac{3.9}{\sqrt{40}}=51.554    

b) 52.8+2.02\frac{3.9}{\sqrt{40}}=54.046    

c) 52.8-2.71\frac{3.9}{\sqrt{40}}=51.129  

d) 52.8+2.71\frac{3.9}{\sqrt{40}}=54.471  

e) Yes, depends of the confidence level.

At 95 % of confidence the value 54.1985 pounds is not included on the interval. At 5% of significance the statement is FALSE.

At 99 % of confidence the value 54.1985 pounds is included on the interval. So at 1% of significance the statement is TRUE.

Step-by-step explanation:

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".

\bar X =52.8 represent the sample mean for the sample

\mu population mean (variable of interest)

s=3.9 represent the sample standard deviation

n=40 represent the sample size  

a) What is the lower limit of the 95% interval? Give your answer to three decimal places

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the mean and the sample deviation we can use the following formulas:  

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=40-1=39

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,39)".And we see that t_{\alpha/2}=2.02

Now we have everything in order to replace into formula (1):

52.8-2.02\frac{3.9}{\sqrt{40}}=51.554    

b) What is the upper limit of the 95% interval? Give your answer to three decimal places

52.8+2.02\frac{3.9}{\sqrt{40}}=54.046    

So on this case the 95% confidence interval would be given by (51.554;54.046)    

c) What is the lower limit of the 99% interval? Give your answer to three decimal places

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,39)".And we see that t_{\alpha/2}=2.71

Now we have everything in order to replace into formula (1):

52.8-2.71\frac{3.9}{\sqrt{40}}=51.129  

d) What is the upper limit of the 99% interval? Give your answer to three decimal places

52.8+2.71\frac{3.9}{\sqrt{40}}=54.471  

So on this case the 99% confidence interval would be given by (51.129;54.471)    

e) Consider the claim that the mean amount of garbage per bin is 54.1985 pounds. Is the following statement true or false? The decision about the claim would depend on whether we use a 95% or 99% confidence interval: True/False

Yes, depends of the confidence level.

At 95 % of confidence the value 54.1985 pounds is not included on the interval. At 5% of significance the statement is FALSE.

At 99 % of confidence the value 54.1985 pounds is included on the interval. So at 1% of significance the statement is TRUE.

3 0
3 years ago
What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 27 - x2?
statuscvo [17]
The answer is 54 square units.
let the vertex in quadrant I be (x,y) 
<span>then the vertex in quadratnt II is (-x,y) </span>
<span>base of the rectangle = 2x </span>
<span>height of the rectangle = y </span>
<span>Area = xy </span>
<span>= x(27 - x</span>²<span>) </span>
<span>= -x</span>³<span> + 27x </span>
<span>d(area)/dx = 3x</span>²<span> - 27 </span><span>= 0 for a maximum of area </span>
<span>3x</span>²<span> = 3 x 3</span>² = <span>27 </span>
<span>x</span>²<span> = 9 </span>
<span>x = ±3 </span>
<span>y = 27-9 = 18 </span>
So, the largest area = 3 x 18 = 54 square units
5 0
3 years ago
Read 2 more answers
There is an 80% chance of rain tomorrow and a 20% chance the football game will be postponed. What is the probability that it wi
vovangra [49]

Answer:

4 I think

Step-by-step explanation:

I divided 80 by 40

6 0
3 years ago
PLS help my grade is depending on also just telling me how to do it will help
allochka39001 [22]

Answer:

Why does it say download PDF?

5 0
2 years ago
Drag a statement or reason for each box to complete this proof.
Yakvenalex [24]

Hey! I've had the same quiz earlier and these answers below are correct. Hope this helps you out and have a great day :)

3 0
2 years ago
Other questions:
  • Which are partial products for 89 × 25? There are two answers.
    9·1 answer
  • So I have a math problem and I was wondering What x-0.15x is
    14·1 answer
  • A family of five goes out to dinner and spends $114.10. This includes a 20% tip. How much did the family's server receive for a
    6·2 answers
  • PLZ PLZ HELP
    15·1 answer
  • Linda and Rob open an online savings account that has a 2.89% annual interest rate, compounded
    7·1 answer
  • Plz help me will give crown.
    5·2 answers
  • A cone with a height of 7in and a radius of 4in has what volume? (round to the nearest tenth)
    13·1 answer
  • Question is attached
    14·1 answer
  • Use a model to solve 13 x 4/9 . Leave your answer as an improper fraction.
    15·2 answers
  • A school has a pep band, a sports band, a marching
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!