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BabaBlast [244]
3 years ago
7

Write an equation perpendicular to the line y=3/2x-2 that goes through (-4,3)

Mathematics
1 answer:
Goryan [66]3 years ago
4 0

Answer: y=-2/3x-2/3

Step-by-step explanation:

concept to know: two lines that are perpendicular has opposite reciprocal slopes.

y=-2/3x+b

in order to find b or the y-intercept, we need to plug in a point

3=-2/3(-4)+b

3=8/3+b

b=-2/3

y=-2/3x-2/3

Hope this helps!! :)

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An ambitious statistical-education researcher wants to analyze the typical statistical skills of STEM (science, technology, engi
antiseptic1488 [7]

Answer:

Option b, c and e are wonderful approaches to solve the problem.

Step-by-step explanation:

Option (b) is appropriate this is because the option is talking about Simple random sampling where random universities are chosen to remove bias.

Option (c) is correct because this is an example of Stratified sampling where two homogenous groups (private and public universities are considered) and samples are chosen at random to remove bias

Option (e) is correct because this again is an example of Simple random sampling where 60 random STEM majors are chosen at random.

7 0
3 years ago
URGENT please help!!! I need a explanation please!! You own a restaurant and can reopen as long as people seated at a table are
hram777 [196]

Answer:

1) Maximum number of tables that can be kept in the dinning room is 10 tables

2)The maximum number of customers, given 6 people per table is 60 customers

Step-by-step explanation:

The parameters given are;

Distance between people seated at different tables = 6 ft

Dimension of table = 2 m by 1.5 m

Number of people at a table = 6 people

Dimension of dinning;

Width = 12 m

Length = 20 m

Dimension of entrance;

Width = 20/21*30  m

Length = 10 m

With 6 meters between tables and a table with of 1.5, we have for the arrangement in the question;

3 tables = 4.5 m

Distance between = 2 × 6 = 12

4.5 + 12 = 16 m (More room required)

With two tables, we have;

Width of tables = 2×1.5 = 3 m

Distance between = 6 m

Dining room width required = 3 + 6 = 9 m

Therefore, the maximum tables in each row = 2

Given that the dining room area extends to the entrance area, total length = 30 m.

With 4 tables we have;

Length = 4 × 2 + 6 × 3 = 26

While on the entrance side of the dinning room area which is 20 m, we have 3 tables;

Length = 3 × 2 + 6 × 2 = 18

Therefore, both arrangements are acceptable;

Just on entering by the right the length = 20/21×30 m

Therefore, with 3 tables will required number due to proximity wit the door and tables arranged along the right wall of the dinning

1) Maximum number of tables that can be kept in the dinning room = 4 + 3 + 3 = 10 tables

2)The maximum number of customers, given 6 people per table = 6×10 = 60 customers.

4 0
3 years ago
If you stand next to a wall on a frictionless skateboard and push the wall with a force of 36 N, how hard does the wall push on
VARVARA [1.3K]

The wall pushes back with an equal and opposite force. So it pushes with a force of 36N in the opposite direction of the push. This allows you to move away from the wall.

7 0
3 years ago
During each minute of a comedy show, Carlin laughs 55 times. Carlin watches 33 comedy shows every day, and each show is 40 minut
postnew [5]

Answer:


Step-by-step explanation:

So if she’s laughing 55 times a minute you wanna multiply 55 by 40 which gives you 2200 so during one show she laughs 2200 times, and if she’s watched 33 shows you want to multiply your 2200 answer for one show by 33 which is a total of 72600


4 0
3 years ago
Use the following figure to answer the question.
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Answer:

true

Step-by-step explanation:

because angle 1 and 2 can only be equal if the lines are parallel

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