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jeyben [28]
3 years ago
6

Q # 20 solve the system by graphing. X + Y = 3 , Y = 2 x - 15

Mathematics
2 answers:
Mandarinka [93]3 years ago
7 0
The solution is as shown in attached figure

erastovalidia [21]3 years ago
7 0

the answer is (6,-3)

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Find x (geometry) plz help
Ilya [14]

Step-by-step explanation:

\frac{ \sin(x) }{12}  =  \frac{ \sin(75) }{22}  \\  \sin(x)  =  \frac{12 \sin(75) }{22}   \\  \sin(x)  = 0.5268 \\ x = 31.79 = 31.8

6 0
2 years ago
Please help answering questions 215 and 216.
kodGreya [7K]

Problem 215

Check out the attached image. Line up the letters ABC and CDE so the first set of letters are over the second set of letters. Order is important here. Note how A corresponds to C (second C), B corresponds to D, and (the first) C corresponds to E.

We have this mapping:

A <--> C

B <--> D

C <--> E

This means...

Angle BAC corresponds to Angle DCE (red angles)

Angle ABC corresponds to Angle CDE (blue angles)

Angle BCA corresponds to Angle DEC (green angles)

It also means...

Side BC corresponds to Side DE (red sides)

Side AC corresponds to Side CE (blue sides)

Side AB corresponds to Side CD (green sides)

Check out the attached image which I hope clears up any confusion you may have. Often I think it helps to represent stuff like this in a visual way.

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

Problem 216

Answer: True

Since triangle ABC is congruent to triangle DEF, this means that side AB is congruent to side ED. These are corresponding sides. Since AB = 6, this means ED = 6 as well.

8 0
3 years ago
Solve the equation 7x-c=k for x
Vlad1618 [11]

Answer:

x=k+c over 7

Step-by-step explanation:

7x-c+c=k+c

7x=k+c

divide both sides by 7

4 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
The CDC reported in 2012 that 1 in 88 American children had been diagnosed with an autism spectrum disorder (ASD).
gladu [14]

Answer:

Poisson Distribution , P(x<2) = 0.1446

Step-by-step explanation:

This is a binomial distribution question with

sample space, n = 300

probability of diagnosed with ASD, p = 1/88 = 0.0114

probability of not diagnosed with ASD, q = 1 - p = 0.9886

Mean, m is given as np = 300 * 0.0114 = 3.42

variance, v = npq = 300 * 0.0114 * 0.9886 = 3.38101

standard deviation, s = square root of variance = 3.38101^(0.5) = 1.83875

This binomial distribution can be approximated as Poisson Distribution since

n > 20 and p < 0.05

For a Poisson Distribution

P(X = x) = [e^(-m) * m^(x)]/ x!

b) x = 2

P(X < 2) = P(X = 0) + P(X = 1)

using the z score table and evaluating, we obtain

P(x<2) = 0.1446

4 0
3 years ago
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