Triangle A is transformed by the
combined transformation of a rotation
of 180° about the point (-1,0) followed
by a translation with vector
-3
2)
One point on triangle A is invariant
under the combined transformation.
What are the coordinates of this point?

If I understand this right:

3/4=24

24/3=8

8*4=32

You divide the number by the numerator, and then multiply that number by the denominator.

If you mean you want 3/4 of 24 then you divide 24 by 4, which equals 6. And then multiply 6 and 3, which equals 18

Answer:

It can be concluded that the median number of part-time employees has increased hence we will reject the null hypothesis ( H0 : p = 0.5 )

Step-by-step explanation:

Test using  α = 0.5 to determine whether the median number of part-time employees has increased

number of restaurants with more than 18 part-time employees = 7  ( + sign )

number of restaurants with less than 18 part-time employees = 1 ( - sign )

number of restaurants with exactly 18 part-time employees = 1

first step : ( state the null and alternate hypothesis )

Null hypothesis : ( H0) : median ≤ 18

Alternate hypothesis : ( Ha ) : median ≥ 18

The size of the sample ( n ) can be considered to be 8 because

number of restaurants with more than 18 part-time employees = 7  ( + sign )

number of restaurants with less than 18 part-time employees = 1 ( - sign )

Hence the actual hypothesis that should be tested will be :

H0 : p = 0.5

Ha : p ≠ 0.5

Next apply the binomial distribution to determine the number of + signs

= nP = 8 ( 0.5 ) = 4 + signs ( right tailed test i.e. upper tail of the binomial distribution )

determine the P ( ≥ 7 ) + signs in order to obtain the p-value of this right tailed test ( using the binomial probability table )

P ( ≥ 7 )+ signs  = p(7) +signs  + p(8)+signs

                         = 0.0313 + 0.0039 = 0.0352

Hence the P-value = 0.0352  is < 0.05  hence we will reject the Null hypothesis ( H0 : p = 0.5 )

hence It can be concluded that the median number of part-time employees has increased

The true statement is that, the median number of part-time employees has increased

The given parameters are:

Using a 0.5 test of significance, the null and the alternate hypotheses are:

The sample size (n) is calculated using

[tex]\mathbf{n =n_1 -n_3}[/tex]

So, we have:

[tex]\mathbf{n =7 --1}[/tex]

[tex]\mathbf{n =8}[/tex]

The mean of the distribution is:

[tex]\mathbf{\bar x = np}[/tex]

This gives

[tex]\mathbf{\bar x = 8 \times 0.5}[/tex]

[tex]\mathbf{\bar x = 4}[/tex]

Using the right tailed test, we calculate the probability that a restaurant has more than 7 part-time employees.

This is calculated as:

[tex]\mathbf{P(x \ge 7+) = P(x = 7+) + P(x = 8+)}[/tex]

Using the binomial probability table, we have:

[tex]\mathbf{P(x \ge 7+) = 0.0313 + 0.0039 }[/tex]

[tex]\mathbf{P(x \ge 7+) = 0.0352}[/tex]

By comparison,

When the p-value is less than the level of significance, then we will reject the Null hypothesis

Hence, it can be concluded that the median number of part-time employees has increased

Read more about probabilities at:

https://brainly.com/question/6476990

Answer:

2: 7:10 3: 6:14

Step-by-step explanation:

There are 7 blue marbles and 10 are green

There are 6 circles and 14 hearts

Part (a)

------------------

Work Shown:

2(x-1) = 3(x+2)

2x-2 = 3x+6 .... distribute

2x = 3x+6+2 .... adding 2 to both sides

2x = 3x+8

2x-3x = 8 .... subtracting 3x from both sides

-x = 8

x = -8 ..... multiply both sides by -1

===========================================================

Part (b)

------------------

Work Shown:

-4(2x-2) = 3(x+1)

-8x+8 = 3x+3 ..... distribute

-8x = 3x+3-8 .... subtract 8 from both sides

-8x = 3x-5

-8x-3x = -5 ... subtract 3x from both sides

-11x = -5

x = -5/(-11) .... divide both sides by -11

x = 5/11

In decimal form, this is approximately equal to 5/11 = 0.4545

Answer:

where is the rest of the question, how much was each calculator?

Answer:

- 13 × k = -13k

good luck, hope this helps :)

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that a new carpet is to be put in the bedroom and that the dimensions of the room are 8.74 ft and 10.3 ft.

The area of the room will be the multiplication of the dimensions given. This will be:

= 8.74 × 10.3

= 90.022

= 90ft²

Answer:

35 v 3 ? − 21 v 2 ? − 5 v 3 − 28 v ? + 13 v 2 − 2 v − 8

Answer:

288pi

904.3

1648.5

33493.3

Step-by-step explanation:

1.

volume = 6^2 * 8 * pi = 288pi

= 904.32

2.

5^2*21*3.14 = 1648.5

3.

4/3 * 20^3 * 3.14 = 33493.3

Answer:

r>12    or    r<−4

Step-by-step explanation:

Answer:

y = 1.5x

Step-by-step explanation:

We are to find the equation of the line

The equation is expressed as y = MX+c

m is the slope

c is the intercept

Get the slope

Using the coordnate (10, 15) and (20, 30)

m = 30-15/20-10

m = 15/10

m = 1.5

Get the intercept

Substitute m = 1.5 and (10, 15) into y = mx+c

15 = 1.5(10) + c

15 = 15+c

c = 0

Get the equation

y = mx+c

y = 1.5x+0

y = 1.5x

Hence the required equation is y = 1.5x

Answer:

y=1.5x

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

4x + 10- 25

Answer:

hyujd6dssgshfjf kryaydfhfvjmbnno vfifufiigbff

Answer: g(x) = 6*x^2 + 15

Step-by-step explanation:

Suppose that we have a function y = f(x)

A vertical stretch by a factor of K is written as:

g(x) = K*f(x).

In this case, we have f(x) = 2*x^2 + 5.

And we know that g(x) is a f(x) after a stretch by a factor of 3.

Then we get:

g(x) = 3*f(x) = 3*(2*x^2 + 5) =  3*2*x^2 + 3*5 = 6*x^2 + 15

g(x) = 6*x^2 + 15

Answer:

Step-by-step explanation:

3/4

Answer:

3/8

Step-by-step explanation:

first find a good denominators then multiply the numerators by how many times it took you to get the denominator then add 1/8+ 2/8 which equals 3/8

Answer:

Step-by-step explanation:

25

Answer:

The first one is correct

Step-by-step explanation:

-3<1-1 - 3<0 correct

-3>1 it is not correct

Answer:

y=1

x=2

(2,1)

Step-by-step explanation:

x=2y

2x+5y=9​

2(2y)+5y=9

4y+5y=9

9y=9

y=1

x=2(1)

x=2

(2,1)

Answer:

3/4 + 3/5 = 1 7/20

Step-by-step explanation:

5 x 4 = 20

3/4 = 15/20

3/5 = 12/20

15/20 + 12/20 = 27/20 = 1 7/20

Answer: 1 7/20 (one and seven-twentieths)

Step-by-step explanation:

1) 3/4 = 15/20 and 3/5 = 12/20

2) 15/20 + 12/20 = 27/20

3) 27/20 = 1 7/20

Good Luck!

Answer:

circumference = 301.44

area =7,234.56

Step-by-step explanation:

The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle.

96 x 3.14 = 301.44

area = 3.14r^2

radius = d/2

radius = 48

3.14(48^2)

area =7,234.56

Answer:

Rate of change = $25 per day

Step-by-step explanation:

Since, rate of change of the data given in the table is constant graph will be a linear graph.

Rate of change of the line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table given,

Graph passes through two points (3, 75) and (4, 100)

Rate of change = [tex]\frac{100-75}{4-3}[/tex]

                          = 25

Here rate of change defines the change in cost per day.

Answer:

819

Step-by-step explanation:

Answer:

Perimeter: 210[tex]yd[/tex]

Area: 2106[tex]yd^{2}[/tex]

good luck, hope this helped :)

Step-by-step explanation:

to find the area of a parallelogram multiply the base by the height. multiply so 8x4= 32. but thats not it, ill come back when i get it or ask a tutor

Answer:

A=bh

Step-by-step explanation:

To distribute, multiply 9 times 2n plus 9 times 1.

9*2n+9*1

18n+9 is your final answer.

Step-by-step explanation: