Which rule describes a composition of transformations that maps pre-image PQRS to image P"Q"R"S"?

270 degree rotation about point 0 composition. Translation of negative 2 units x, 0 units y.
Translation of negative 2 units x, 0 units y composition 270 degree rotate about point 0.
270 degree rotation about point 0 composition reflected across the y-axis
Reflected across the y-axis composition 270 degree rotation about point 0.

Answer:

a) P [X ≥ 30 ] =  0,8413      or    84,13%

b)  P [X < 24]  = 0,0228      or    2,28 %

c) P [ 24 < X < 48 ]   =  0,9544     or   95,44%

Step-by-step explanation:

z = ( X - μ₀ )/σ

μ₀ the mean ( average no. of months that an employee stay in a factory)

σ standard deviation

a) P [X ≥ 30 ] = 1 -  P [X < 30 ]

P [X < 30 ]

We look for z (score)

z = ( X - μ₀ )/σ      ⇒  z =  30 - 36 / 6

z = - 1

From z table we get for -1  

P [X < 30 ] = 0,1587

And

P [X ≥ 30 ] = 1 -  P [X < 30 ]  ⇒        P [X ≥ 30 ] = 1 - 0,1587

P [X ≥ 30 ] =  0,8413      or    84,13%

b) P [X < 24]

z (score) = ( 24 - 36 ) / 6

z( score) = -2

And from z table we get:

P [X < 24]  = 0,0228      or    2,28 %

c) P [ 24 < X < 48 ]    is  P[X ≤ 48] -  P[X ≤ 24]

P [X < 48]

s (score) = 48 - 36 / 6      ⇒   z = 2

P [X < 48] = 0,9772

Then

P [ 24 < X < 48 ]   = 0,9772  - 0,0228

P [ 24 < X < 48 ]   =  0,9544     or   95,44%

Answer:

= 4

Step-by-step explanation:

(2y-2)/x

Insert 2 and 5 in their respective places:

(2(5)-2)/2

Multiply from left to right:

(10-2)/2

Subtract from left to right:

8/2

Divide and simplify:

= 4

Answer:

D. The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.

Step-by-step explanation:

Flow rate = [tex]\frac{gallons of water}{minute}[/tex]

flow rate of water in the big tank = [tex]\frac{300}{5}[/tex]

                         = 60 gallons/minute

flow rate in the smaller tank = [tex]\frac{200}{5}[/tex]

                          = 40 gallons/minute

The difference in flow rate between the tanks = 60 - 40

                          = 20 gallons/minute

Since the two tanks have the same amount of water after the given time, then the volume of water in the large tank decrease; while the volume of water in the small tank increased.

Therefore, the flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min. This shows that option D is correct.

Answer:

B

Step-by-step explanation:

took the quiz

Answer:

x=½, -2

x= 0.5, -2

possibly im not perfect

Answer:

1,2,3,4,6,9,12,18, 36

Step-by-step explanation:

18 is the GCF of 36.

You can't multiply any other number with its 2 to be 36.

So 18 x 2 =36

The fence post is 3m tall

Set up proportion 9/6 =2/x

You get

18=6x

Divide by 6

3=x

Boom

If this helped please mark branliest

Answer:

First you order the data from least to greatest

then find the mean

next you Calculate the median of both the lower and upper half of the data

The IQR is the difference between the upper and lower medians.

Step-by-step explanation:

Answer: 1) 500, 000

2) Five hundred thousand

3) [tex]5\times10^5[/tex]

Step-by-step explanation:

To express: 5 of 100, 000 in three expressions (First - number. second - word , third - scientific )

5 of 100, 000 = 5 x 100, 000 = 500, 000

In word - Five hundred thousand [ as place value of 5 =  hundred thousand]

In scientific notation, [tex]500, 000=5\times10^5[/tex]

Hence, the required expressions:

1) 500, 000

2) Five hundred thousand

3) [tex]5\times10^5[/tex]

Answer and explanation:

Please find answer and explanation attached

Answer:

6-(9-2)+3x6

Step-by-step explanation:

hope it helps

Answer:

Area=91 ft^2

Step-by-step explanation:

Area=length*width

Area= 14*6.5

Area=91 ft^2

Answer:

91 sq. ft.

Step-by-step explanation:

Answer:

I got 80

Step-by-step explanation:

Answer:

$5750

Step-by-step explanation:

To find what 15% is in money, we do

23,000*15/100=3450 for one year

3450*5(for five years)=$17,250

Now subtract that

23,000-17,250=$5750

Answer:

B and C

Step-by-step explanation:

the answer is B and C because

on the basis of option A

-2+6=4 (not equal to -8)

on the basis of option B

-4+-4 =-4-4=-8 (=-8)

on the basis of option C

6+-14=6-14=-8 (=-8)

on the basis of option D

11-3 =8 (not equal to -8)

on the basis of option E

5+3=8 (not equal to -8)

HOPE YOU HAVE UNDERSTOOD

Answer:

What are the answer choices?

Step-by-step explanation:

Answer:

just doing this for the gram

Step-by-step explanation:

say hi

Answer:

Option A

Step-by-step explanation:

Rearrange and simplify them

First we simplify

5.78 , -5.9 , 58%(58/100) or 5.8 , -5.75

Now we rearrange

-5.9 , -5.75 , 5.78 , 5.8

The larger the number in negative is the smallest.

So option A is the answer

Answer:

Step-by-step explanation:

U would 22999+122.3939ading j. Till u wil go to the bathroom

The correct options are :-

Option b is correct because angle x and y will add up to 180° as they are a linear pair . Option c is correct because angle y and angle z are vertically opposite angles . Option D is correct because angle x and angle z are a linear pair .

Answer:

Well, if b = 2, then 12 - b = 10

Step-by-step explanation:

hope this helps, lol! <3

Answer: 2nd choice on Ed

Step-by-step explanation:

Answer:

B

2400ft

Step-by-step explanation:

Answer:

step 2

Step-by-step explanation:

sorry if im wrong. Please mark me brainleast  

Answer:

Geometric

Step-by-step explanation:

It has a consistent multiple-factor by which it increases (8).

Answer:

x<-6

Step-by-step explanation:

-2x-4>8

(move the constant to the right)

-2x > 8+ 4

(calculate)

-2x>12

(divide both sides)

x<-6

(your answer)

Answer:

81

Step-by-step explanation:

Answer:

33.1 units

Step-by-step explanation:

The formula to find the sides of an shape when given vertices is

= √(x2 - x1)² + (y2 - y1)²

When we have:(x1, y1) and (x2, y2)

(-3, 1), (5, 1), (-3, 4), (5, 4)

For (-3, 1), (5, 1)

= √(5 - (-3))² + (1 -1)²

= √8² + 0²

= √64

= 8 units

For (5, 1), (-3, 4)

= √(-3 - 5)² + (4 - 1)²

= √-8² + 3²

= √64 + 9

= √73 units

For (-3, 4), (5, 4)

= √(5 - (-3))² + (4 - 4)²

= √8² + 0²

= √64

= 8 units

For (-3, 1), (5, 4)

= √(-3 - 5)² + (4- 1)²

= √8² + 3²

= √64 + 9

= √ 73 units

Perimeter of the Polygon:

=( 8 + √73 + 8 + √73) units

= 33.088007491 units

≈ 33.1 units

Answer:

false

Step-by-step explanation: ...