The living room in a new house has the dimensions shown. What is the volume of the room?

Answer:

Step-by-step explanation:

yes two triangles are congruent by SSS theorem (side Side Side)

Answer:

the predictor variable is: amount of education

the criterion variable is: the Supervisors' rating

the beta is: .3

the Zy scores are -0.45, -0.3, 0.15

Step-by-step explanation:

r=beta which is the same; hence correlation equals regression

use this formula for the Z-scores

Zy= (beta) (Zx)

zy=(.3) (-1.5) = -0.45

(E) -1.5;

Zy=-0.45

(F)-1,

Zy=-0.3  

(G)-.5.

Zy=-0.15

Step-by-step explanation:

Given in the question,

C(8,2)

Formula to use:

nCr = n! / r! * (n - r)!

here n = 8

r = 2

We have to calculate combinations of 8 object taken 2 at a time, then

C(8,2)

8C2

8! / 2! * (8 - 2)!

56/2

28

So, 8C2 = 28

Answer:

$1,260

Step-by-step explanation:

30% off  

pay 70%

70% = 0.7

1,800 * 0.7 = 1,260

$1,260

Answer:

Step-by-step explanation:

There are 20 men and 8 of them prefer movies.

Answer:

Step-by-step explanation:

11 no

46+4x=90 degree(being perpendicular)

4x=90-46

x=44/4

x=11

12 no

They are complementary angles

6 no

angle B+27=180 degree(being straight line)

angle B=180-27

angle B=153

10 no

angle 38 +angle DFE=180 degree(being supplementary)

angle DFE=180-38

angle DFE=142 degree

5 no

They are vertically opposite angles.

7 no

angle AGF and angle CGD (because they have common arm and vertex)

Answer:

Solution given:

11.4x+46=90[being right angle]

4x=90-46

x=44/4

x=11

12.

Complementary angles

5.

vertical

6.

<ABD+27=180°[linear pair]

<ABD=180-27

<ABD=153° degree

10.

<DFE+38=180[being supplementary]

<DFE=180-38

<DFE=142 degrees.

7.

angle DGE and angle DGC

8.

<AGB and <AGE

Answer:

the time is 16 days

Step-by-step explanation:

The computation of the time period is given below:

N = 500 √t

2000 = 500 √t

√t = 4

Now do the square on both the sides

SO,

t = 16

Hence, the time is 16 days

We simply applied the above method to determine the time period

Answer:

y=5x+6

hope this helps

have a good day :)

Step-by-step explanation:

The slope intercept form for the equation -10x+2y=12 is y= 6+5x

The slope intercept form is a method used to determine the equation of a straight line in the coordinate plane. The equation of a straight line will be that relation which:

The determination of this equation is straightforward. To find the slope intercept form of a straight line, we would need the slope, or the angle of inclination of this straight line from the x-axis and the intercept that it makes with the y-axis.

Given:

-10x+2y=12

As, we know the slope- intercept form is

y= mx +b

Then writing the equation as the slope intercept form

-10x+2y=12

2y = 12 +10x

Divide both side by 2 to make the coefficient as 1.

y= 12/2 + 10x/2

y= 6 + 5x

Hence, the slope intercept form is y= 6+5x

Learn more about slope- intercept form here:

https://brainly.com/question/9682526

#SPJ2

Answer:

$63.6

Step-by-step explanation:

$7.95=1 hr

$7.95×8=$63.6

Answer:

Step-by-step explanation:

1). If two right triangles are congruent by HL property of congruence,

   Their corresponding sides will be congruent.

   By this property,

   x - 4 = y + 3

   x - y = 7 -----(1)

   x = 2y ------(2)

   By substituting x = 2y in equation (1),

   2y - y = 7

    y = 7

    From equation (1)

    x - 7 = 7

    x = 15

2). If both the right triangles are congruent by HL property of congruence,

    Their height and and hypotenuse will be congruent.

    y + x = x + 7

    y = 7

    y + 5 = 2y - x

    y - 2y + 5 = -x

    -y + 5 = -x

    x = y - 5

    By substituting y = 7 in the equation,

    x = 7 - 5

    x = 2

Answer:

Step-by-step explanation:

angle 3 and angle 4 are co interior angles.so,

angle 3+angle 4=180 degree

sum of co interior angle is always 180 degree.

Answer: Angle 3 and 5 = 180° because consecutive angles formed by parallel lines are supplementary

Step-by-step explanation:

It should be noted that Angle 3 and 5 = 180° because consecutive angles formed by parallel lines are supplementary.

For example, if angle 3 is 60°, the value of angle 5 will be:

= 180° - 60°

= 120°

Answer:

m∠J = 32°

m∠G = 78°

Step-by-step explanation:

ΔHJI ≈ ΔGEF respectively means;

∠H ≅ ∠G

∠I ≅ ∠E

∠J ≅ ∠F

Therefore;

Since  ∠F = 32°, then ∠J = 32°

Since ∠H = 78°, then ∠G = 78°

Hope this helps!

Answer:

the equation is 11+1.2d= h      so the height after 9 days would be 21.8cm

Step-by-step explanation:

Answer:

f(h) = 11 + 1.2h

f(9) = 21.8 cm

Step-by-step explanation:

let 'h' = height

f(h) = 11 + 1.2h

height after 9 days:

f(9) = 11 + 1.2(9)

= 11 + 10.8

= 21.8 cm

Answer:

11 inches

Step-by-step explanation:

Given :

15 in of wire = 90 cents

At the same rate :

x inch of wire = 66 cents

Cross multiply :

90x = 15 * 66

90x = 990

x = 990 / 90

x = 11

11 inches of wire

Answer:

.8

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that the probability that Jane makes money in a given week is .6 and  the probability that Jane and Maria both make money in a given week is .48. Then the probability that Maria makes money in a given week...

Let the probability that Jane makes money in a given week be p(j) and that Maria makes money in a week be p(m) then

p(j) = .6 and

p(j) * p(m) = .48

.6 * p(m) = .48

p(m) = .48/.6

= .8

Answer:

a) Mode number = 2

b) Median  = 64.5  = 4 people in car as 0.5 in 64.5 is close to 76

              = 4 people

c) Mean number is  505/6 =   84.1666666667 then we see where 84.16 lies and see this lies with =  3 people

Step-by-step explanation:

45  is 1

198 is 2

121 is 3

76 is 4

52 is 5

13 is 6

Mode we look for the highest frequency and see 198 is the amount and 2 people in car is the subject, we give the subject and that is 2 people in car is the highest frequency and would be the mode.

Median is shown in the answer as we add up.

Mean we add up all frequency and divide by the amount of subjects = 6.

a) Mode number = 2

b) Median = 13, 45, 52, here 76, 121, 198    mid number between

             = (76-52 )/ 2  + (52)= 24 /2 + (52) = 12 + 52 + 0.5 if even number    

median  = 64.5  in a cumulative graph though which is not asked here it would be exactly half of 505 = 257.5 and interquartile we half again and add on 257.5 and show the range values interquartile as 1/2(252.5) and 1/2(252.5+ 505) = 126.25 as one value and 757.5 as the other by drawing a horizontal line from y axis to the points so vertical lines can represnt the cars median and interquartile.

c. Mean number is  505/6 =   84.1666666667 then we see where 84.16 lies and see this lies with 3 seats

For cumulative frequency we can relist numbers like this

45

45 +198 = 243

243 +  121 = 364

364+76 = 440

440 + 52 = 492

492+13 = 505 to plot graph.

But if there was group of measures or time etc then we would always plot the highest of each set for cumulative x axis and use the 2 values to see the ratio for histograms ie) 198/2 = 99 so that all values are read in equal proportions and 2 is a data below the graph not on the graph as 2 does not show as a box count just a name below on x axis. So we have to use the ratio as explained for histograms.

The best i could find out is 450p

Answer:

I believe that the question is "A puppy weighs 5 3/4 pounds. How many ounces does the puppy weigh."

Step-by-step explanation:

The answer is 23 ounces.

Answer:

C. a = 7

D. c = -3

Step-by-step explanation:

C. 7(2a + 3) + 21 = 100+ 40

   14a + 21 + 21 = 140

   14a = 140 - 21 - 21

    14a = 98

    a = 7

D. 6+ 14 - 12c = 56

    20 - 12c = 56

     -12c = 56 - 20

     -12c = 36

       c = - 3

Answer:

Step-by-step explanation:

c.7(2a+3)+21=100+40

14a+21+21=140

14a+42=140

14a=140-42

a=98/14

a=7

d.6+14-12c=56

20-12c=56

-12c=56-20

c=36/-12

c=-3

Answer:

$42

Step-by-step explanation:

less than 8 is supposed to be 7 or less 6×7=$42

We know that ,

[tex]\pi rad = 180^o[/tex]

Using Unitary Method ,

[tex]\implies 1 \ rad = \dfrac{180^o}{\pi } [/tex]

Therefore ,

[tex]\implies \dfrac{10\pi}{6} rad = \dfrac{10\pi}{6} * \dfrac{180^o}{\pi } [/tex]

[tex]= \boxed{\red{ 300^o }}[/tex]

Required answer !

Answer:

6.0 square feet

Step-by-step explanation:

6 ÷ 2 = 3(radius)

are of the damaged section = x

77/360 = x/3²π

=> x = 77 × 9π ÷ 360 = 6.0445 <= 6.0 square feet is the closest to this number

Answer:

45544554554554445455544

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Answer:

w=-1+[tex]\sqrt{2}[/tex], w=-1-[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since we are given the coordinates of A, and we know that another coordinate on segment OA is the origin, (0, 0), we can use that information in the slope formula to find the slope of segment OA:

[tex]m_{OA}=\frac{-3-0}{6-0}=-\frac{1}{2}[/tex]

Since segment OB is perpendicular to segment OA, then its slope is the opposite reciprocal of that of segment OA. Therefore, the slope of segment OB is 2. We will use that along with the coordinate of the origin to write the equation of OB in the slope-intercept form of a line:

y = mx + b where y = 0, x = 0, m = 2

0 = 2(0) + b so

b = 0 and the equation for the line is

y = 2x

Answer:

y= (-6/5)x -2

Step-by-step explanation:

y=mx+b , where m is the slope, and b is the y -intercept

the y -intercept is where the line intersects the y-axis so b = -2

the slope m= y(rise) /x(run)  = 6/-5 = -6/5 ( to find the slope you have to know how to get from any point on the line to another point on the same line; start at point (0,-2) go up 6(y-rise) and to the left 5(x-run) at point (-5,4))

y= (-6/5)x -2

Answer:

0.3128

Step-by-step explanation:

H0 : p ≤ 0.28

H0 : μ > 0.28

The test statistic :

(phat - p) ÷ √(pq / n)

q = 1 -p = 1 - 0.28 = 0.72

phat = 0.30

(0.30 -0.28) ÷ √((0.28*0.72) / 120)

0.02 ÷ 0.0409878

Test statistic = 0.48795

Using the Pvalue from test statistic calculator :

Pvalue(0.05, right tailed) = 0.3128

Answer:

Length of Line AC = 26 units

Step-by-step explanation:

Given:

Line AC = [3x + 1] + 8

Line BC = [x - 2] + 2

Find:

Length of Line AC

Computation:

Line AB ║ Line L

So,

Using Mid-Point theorem;

[3x + 1] / 8 = [x - 2] / 2

2[3x + 1] = 8[x - 2]

6x + 2 = 8x - 16

8x - 6x = 16 + 2

2x = 18

x = 9

So,

Line AC = [3x + 1] + 8

Line AC = [3(9) + 1] + 8

Line AC = [27 + 1] + 8

Line AC = 28 + 8

Length of Line AC = 26 units