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
skelet666 [1.2K]
3 years ago
8

What is the y-value of the solution to the system of equations?

Mathematics
1 answer:
alukav5142 [94]3 years ago
4 0

Let's solve for x first,


3x + 5y - 5y = 1 - 5y

3x/3 = 1/3 - 5y/3

x = 1/3 - 5/3y


Let's now plug that into the other equation,


7(1/3 - 5/3y) + 4y = -13

7/3 - 35/3y + 4y = -13

7/3 - 7 2/3y - 7/3 = -13 - 7/3

- 7 2/3y (-3/23) = -15 1/3 (-3/23)

y = 2



The answer is 2

You might be interested in
Solve the equation 2(x-10)= 24 , what is the value of x
N76 [4]

Answer:

x=22

Step-by-step explanation:

2(x-10)=24

Distribute the parenthesis

2x-20=24

Add 20 to both sides

2x=44

Divide both sides by 2

\frac{2x}{2} =\frac{44}{2}

x=22

Hope this helps

5 0
3 years ago
Read 2 more answers
According to an​ article, 47​% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly select
In-s [12.5K]

Answer:

a) P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228

b) P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033

And replacing we got:

P(X \geq 1)= 1-P(X

c) P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257

P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228

P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135

And adding we got:

P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=9, p=0.47)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Assuming the following questions:

a. exactly five

For this case we can use the probability mass function and we got:

P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228

b. at least one

For this case we want this probability:

P(X \geq 1)

And we can use the complement rule and we got:

P(X \geq 1)= 1-P(X

P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033

And replacing we got:

P(X \geq 1)= 1-P(X

c. between four and six, inclusive.

For this case we want this probability:

P(4 \leq X \leq 6)

P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257

P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228

P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135

And adding we got:

P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620

6 0
3 years ago
You are reading a
scoray [572]

Answer:

40%.

Step-by-step explanation:

40% of 150 is 60.

7 0
3 years ago
HELP WITH THE QUESTIONS
tatuchka [14]
1 is 10 dimes that is what I’ll do
3 0
3 years ago
Click on the correct answer.
Galina-37 [17]

Answer:

A, $1.08

Step-by-step explanation:

1.20 / 90 = 1.08

use a calculator

5 0
3 years ago
Read 2 more answers
Other questions:
  • What the answer question now
    10·1 answer
  • A restaurant can seat 100 people. It has booths that seat 4 people and tables that seat 6 people. So far, 5 of the booths are fu
    14·1 answer
  • What is the amplitude of the sinusoid's graph? y = -4 sin 3x
    15·1 answer
  • Which equation has a maximum at y=5 for 0 is less than or equal to x which is less than or equal to 2pi
    11·1 answer
  • if the rat moves through the maze randomly how many out of 100 attempts would you expect Romeo to end up in room A​
    5·1 answer
  • Lana is planting a garden that is going to have an area of 432 square feet. She wants the length of the garden to be 3 times the
    14·1 answer
  • Can you write a equation with a slope of 3 and a y-intersept of (0,4)​
    8·1 answer
  • A student finds a positive correlation between the number of beds in a home and the number of plates in the kitchen.
    12·2 answers
  • Solve the for the variable. SHOW ALL WORK/EXPLAIN EVERY STEP!!!<br>2(x-2)-5=3-2x+6​
    9·2 answers
  • Help please <br><br> What is 600 square feet converted to square yards?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!