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
9966 [12]
2 years ago
14

If triangle ABC is reflected over the x-axis, triangle A'B'C' will be created.

Mathematics
2 answers:
Murrr4er [49]2 years ago
5 0

Answer:

4 units

Step-by-step explanation:

correct on edge

Westkost [7]2 years ago
3 0

Answer:

4

Step-by-step explanation:

yes

You might be interested in
Which ordered pairs make both inequalities true?
Arlecino [84]

Answer:

(0,-2) and (1, 1)

Step-by-step explanation:

7 0
3 years ago
Fees associated with taking out a mortgage
Valentin [98]
Closing costs is the answer to your question
6 0
3 years ago
A company with a large fleet of cars wants to study the gasoline usage. They check the gasoline usage for 50 company trips chose
Nookie1986 [14]

Answer:

The 95% confidence interval is given by (25.71536 ;28.32464)

And if we need to round we can use the following excel code:

round(lower,2)

[1] 25.72

round(upper,2)

[1] 28.32

And the interval would be (25.72; 28.32)  

Step-by-step explanation:

Notation and definitions  

n=50 represent the sample size  

\bar X= 27.2 represent the sample mean  

s=5.83 represent the sample standard deviation  

m represent the margin of error  

Confidence =88% or 0.88

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".  

Calculate the critical value tc  

In order to find the critical value is important to mention that we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 88% of confidence, our significance level would be given by \alpha=1-0.88=0.12 and \alpha/2 =0.06. The degrees of freedom are given by:  

df=n-1=50-1=49  

We can find the critical values in R using the following formulas:  

qt(0.06,49)

[1] -1.582366

qt(1-0.06,49)

[1] 1.582366

The critical value tc=\pm 1.582366  

Calculate the margin of error (m)  

The margin of error for the sample mean is given by this formula:  

m=t_c \frac{s}{\sqrt{n}}  

m=1.582366 \frac{5.83}{\sqrt{50}}=14.613  

With R we can do this:

m=1.582366*(5.83/sqrt(50))

m

[1] 1.304639

Calculate the confidence interval  

The interval for the mean is given by this formula:  

\bar X \pm t_{c} \frac{s}{\sqrt{n}}  

And calculating the limits we got:  

27.02 - 1.582366 \frac{5.83}{\sqrt{50}}=25.715  

27.02 + 1.582366 \frac{5.83}{\sqrt{50}}=28.325

Using R the code is:

lower=27.02-m;lower

[1] 25.71536

upper=27.02+m;upper

[1] 28.32464

The 95% confidence interval is given by (25.71536 ;28.32464)  

And if we need to round we can use the following excel code:

round(lower,2)

[1] 25.72

round(upper,2)

[1] 28.32

And the interval would be (25.72; 28.32)  

6 0
3 years ago
Maria works in a factory that produces new cars. She is having trouble with one of the machines. In order to work properly, the
Dovator [93]

Answer:

Maria did her job properly. Both gears are perpendicular.

Step-by-step explanation:

Recall that given vectors a and b, they are perpendicular if and only if a\cdot b =0. If a=(a_1,a_2),b=(b_1,b_2). Then a\cdot b = a_1b1_+a_2b_2.

IN our case a=(5,-1,2) and b) (1,-3,-4). So,

a\cdot b = 5\cdot 1 + (-1)\cdot(-3) + 2\cdot(-4) = 5+3-8 =0

So both gears are perpendicular.

3 0
3 years ago
A. i. Write down the 2 x 2 matrix. R, corresponding to a reflection in the origin​
lisov135 [29]

Answer:

4

Step-by-step explanation:

that was easy

7 0
2 years ago
Other questions:
  • What is the volume of a rectangle or prism with the height of 4 cm a width of 2 cm and a length of 5 cm A: 13 cubic centimetersB
    11·1 answer
  • A group of 12 runners each drink 64 ounces of water every day.How many ounces of water will they drink in 45 days?
    8·2 answers
  • Name the quadrant in which the point (-4, -3) could be found on the coordinate plane
    12·1 answer
  • A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose 3 tiles from the bag without loo
    9·1 answer
  • Trên 1 nửa mặt phẳng có bờ chưa tia Ox vễ 2 tia Oy và Oz sao cho góc xOy = 60 độ , góc xOz = 120 độ . a. Tính số đo góc yOz b.Gọ
    5·1 answer
  • 6. Write the<br> equation<br> (0,5) and (5,1)
    7·2 answers
  • Select the correct answer.<br> What are the roots of this equation?
    6·1 answer
  • Solve the system.
    14·1 answer
  • There are 380 female students in a class. Male students make up 60% of the class. What is the total number of students in the cl
    9·1 answer
  • Original price of television is $729 , 18%of the original price , 6% tax applied after discount
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!