1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
saveliy_v [14]
2 years ago
12

Plz help

Mathematics
1 answer:
mixas84 [53]2 years ago
7 0

x2y + z = 9 \\  \\ 1. \: x + 2y + z +  - 2y = 9 +  - 2y \\ x + z =  - 2y + 9 \\ 2. \: x + z +  - z =  - 2y + 9 +  - z \\ x =  - 2y - z + 9 \\  \\  \\ x + y - z = 5 \\  \\ 1. \: x + y - z +  - y = 5 +  - y \\ x - z =  - y + 5 \\ 2. \: x - z + z =  - y + 5 + z \\ x =  - y + z + 5 \\  \\  \\ 3x - y + 2z = 12 \\ 1. \: 3x - y + 2z + y = 12 + y \\ 3x + 2z = y + 12 \\ 2. \: 3x = y - 2z + 12 \\ 3. \:  \frac{3x}{3}  =  \frac{y - 2z + 12}{3}  \\ x =  \frac{1}{3} y +  \frac{ - 2}{3} z + 4

You might be interested in
An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes ar
konstantin123 [22]

Complete question :

An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.

a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?

Answer:

0.17

0.29686

0.000092

Step-by-step explanation:

Given that :

Probability of success (p) = 0.3

Number of cases (n) = 15

1 - p = 1 - 0.3 = 0.7

Usung binomial distribution formula :

a. What is the probability that exactly 3 of these 15 crimes will be solved?

P(x = 3)

Recall:

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 15C3 * 0.3^3 * 0.7^12

P(x = 3) = 455 *

P(x = 3) = 0.17

B.) What is the probability that at most 3 of these 15 crimes will be solved?

P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

To save computation time, we can using the binomial probability calculator :

P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686

c. What is the probability that more than 11 of these 15 crimes will be solved?

P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)

P( X > 11) = 0.000092

7 0
2 years ago
Dustin polled 127 drivers late on a Friday night.
Maslowich

Answer:

yes

Step-by-step explanation:

6 0
3 years ago
Divide.<br><br> 456 ÷ 7<br><br><br> 64 R 1<br><br> 64 R 2<br><br> 65 R 1<br><br> 65 R 2
umka2103 [35]

Answer:

456/7 equal to (drum rolls) 65.1428571429

Step-by-step explanation:

8 0
3 years ago
If all the dimensions of the rectangular pyramid are multiplied by 1/5, what is the effect on the volume
Pachacha [2.7K]

Answer:

If all the dimensions of the rectangular pyramid are multiplied by 1/5, the volume will be 125 times smaller.

Step-by-step explanation:

A rectangular pyramid has the following dimensions:

length(l), height(h) and width(w)

The volume is:

V = \frac{l*h*w}{3}

If all the dimensions of the rectangular pyramid are multiplied by 1/5

Then we have that:

l = \frac{l}{5}, w = \frac{w}{5}, h = \frac{h}{5}

The modified volume will be:

V_{M} = \frac{\frac{l}{5}*\frac{w}{5}*\frac{h}{5}}{3} = \frac{\frac{l*w*h}{125}}{3} = \frac{l*h*w}{125*3} = \frac{1}{125}(\frac{l*h*w}{3}) = \frac{V}{125}

So

If all the dimensions of the rectangular pyramid are multiplied by 1/5, the volume will be 1/125 of the original, that is, 125 times smaller.

4 0
2 years ago
One hundred students were surveyed about their preference between dogs and cats. The following two-way table displays data for t
jenyasd209 [6]

Hi, did you forget to attach the two-way table to the question? I can't seem to see it, so I can't answer your question

8 0
3 years ago
Other questions:
  • The width of a rectangular room is 55% of its length. The length of the room is 20 feet. What is the area of the room?
    14·1 answer
  • Hana is putting the fruit she bought into bowls. She bought 8 melons, 12 pears, and 24 apples. She puts the same number of piece
    8·1 answer
  • - A1 Plumbing Service charges $35 per hour plus a $25
    12·1 answer
  • Rita is adding 3 + (–8) + 1. She rewrites the expression as 3 + (–1) + 8. What is Rita’s error?
    12·2 answers
  • 0.002 is 1/10 of what
    8·1 answer
  • The ratio of width to length of a rectangle is 7:10.The width of the rectangle is 91 cm.
    9·1 answer
  • Goran needs to drive 14 miles to work. so far, he has driven 2.2 miles. how many more miles must he drive?
    6·1 answer
  • Three friends decide to rent an apartment and split the cost evenly. They each paid $710 towards the total move in cost of first
    9·1 answer
  • Determine if the relation is a function<br> (-1, 5), (0,3), (2,3), (3, -1)
    10·2 answers
  • Question Below plsss answer asap
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!