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
ELEN [110]
3 years ago
11

The vertices of a triangle are P(-4,-3), Q(-2,3), and R(7,3). Name the vertices of the image reflected across the line y = x. *

Your answer ansler​
Mathematics
1 answer:
Elden [556K]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

P (- 4, - 3 ) → P' (- 3, - 4 )

Q (- 2, 3 ) → Q' (3, - 2 )

R (7, 3 ) → R' (3, 7 )

You might be interested in
A stack of bricks is 3 1/2 feet high.
ololo11 [35]
Divide 42 inches by the total amount of inches in one brick
why you are dividing by 42 inches is because 3 1/2 ft is equal to 42 inches
4 0
3 years ago
Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining wh
Molodets [167]

Answer:

(A) The mean for the differences is 2.0.

(B) The test statistic is 1.617.

(C) At 90% confidence the null hypothesis should not be rejected.

Step-by-step explanation:

We are given that a random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance.

The following data (in miles per gallon) show the results of the test;

Driver         Manufacturer A               Manufacturer B

   1                      32                                       28

  2                      27                                       22

  3                      26                                       27

  4                      26                                       24

  5                      25                                       24

  6                      29                                       25

  7                       31                                       28

  8                      25                                       27

Let \mu_1 = mean MPG for the fuel efficiency of Manufacturer A brand

\mu_2 = mean MPG for the fuel efficiency of Manufacturer B brand

SO, Null Hypothesis, H_0 : \mu_1-\mu_2=0  or  \mu_1= \mu_2    {means that there is a not any significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles}

Alternate Hypothesis, H_A : \mu_1-\mu_2\neq 0  or  \mu_1\neq  \mu_2   {means that there is a significant difference in the mean MPG (miles per gallon) for the fuel efficiency of these two brands of automobiles}

The test statistics that will be used here is <u>Two-sample t test statistics</u> as we don't know about the population standard deviations;

                      T.S.  = \frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}  } }  ~ t__n__1+_n__2-2

where, \bar X_1 = sample mean MPG for manufacturer A = \frac{\sum X_A}{n_A} = 27.625

\bar X_2 = sample mean MPG for manufacturer B =\frac{\sum X_B}{n_B} = 25.625

s_1 = sample standard deviation for manufacturer A = \sqrt{\frac{\sum (X_A-\bar X_A)^{2} }{n_A-1} } = 2.72

s_2 = sample standard deviation manufacturer B = \sqrt{\frac{\sum (X_B-\bar X_B)^{2} }{n_B-1} } = 2.20

n_1 = sample of cars selected from manufacturer A = 8

n_2 = sample of cars selected from manufacturer B = 8

Also, s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2}  }{n_1+n_2-2} }   =  \sqrt{\frac{(8-1)\times 2.72^{2}+(8-1)\times 2.20^{2}  }{8+8-2} }  = 2.474

(A) The mean for the differences is = 27.625 - 25.625 = 2

(B) <u><em>The test statistics</em></u>  =  \frac{(27.625-25.625)-(0)}{2.474 \times \sqrt{\frac{1}{8}+\frac{1}{8}  } }  ~  t_1_4

                                     =  1.617

(C) Now at 10% significance level, the t table gives critical values between -1.761 and 1.761 at 14 degree of freedom for two-tailed test. Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that there is a not any significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles.

5 0
4 years ago
Quadrilateral abcd is inscribed in a circle with m∠a = (x)degrees, m∠b = (2x - 10)degrees, and m∠c = (3x)degree. what is m∠d?
Lynna [10]
Hello,

When you have a polygon inscribed in a circle, the opposite angles are supplementary.

So we can start by saying that A + C = 180. Or x + 3x = 180. This gives us a value of 45 for x.

If we input that in for angle B, we get: 2(25) - 10 = 80.

If angle B = 80, then angle D must be 100, because the angles are supplementary.

Good luck,
MrEQ
6 0
3 years ago
“Two lines in a plane always intersect in exactly one point.”
arsen [322]
The answer is B.
Parallel lines as they are in the same plane but never meet.
3 0
3 years ago
A circular city park has a sidewalk directly through the middle that is 111 - feet long. If each bag of fertilizer covers 50 squ
scZoUnD [109]

Answer:

Step-by-step explanation:

The circular city park has a sidewalk directly through the middle that is 111 - feet long. This means that the diameter of the park is 111 feet.

The formula for determining the the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circular floor.

π is a constant whose value is 3.14

From the information given,

Diameter = 111 feet

Radius = diameter/2 = 111/2 = 55.5 feet.

Area of park = 3.14 × 55.5² = 9671.985 feet²

If each bag of fertilizer covers 50 square feet, then the number of bags needed is

9671.985/50 = 193.44 bags

3 0
3 years ago
Other questions:
  • Help with number two
    5·1 answer
  • The system of equations shown below is graphed on a coordinate grid:
    14·2 answers
  • Please Help me I really need it :)
    8·1 answer
  • Shari had six dimes and nine nickels.Did she have enough money to buy a $0.99 pack of gum
    11·2 answers
  • Computer the following some, Thanks !
    15·1 answer
  • Can anyone help me answer this?!?!
    5·1 answer
  • I don’t understand so please HELPPPPPPPPPPPPPP
    8·2 answers
  • Use the distributive property to expand this equation please2/3 (18x + 6z)
    9·1 answer
  • Please help me with this equation, the values are in the file <br><br> x + B = Fx - Dx + H
    7·2 answers
  • 100 POINTS+BRAINLIEST: 8TH GRADE MATH PT 3- Write equations by simplifying polynomials Tyyy
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!