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Setler79 [48]
3 years ago
13

Use the properties of equality to finish solving the equation. 3 4 (20y − 8) + 5 = 1 2 y + 1 4 (20y + 8) 1. Distribute the 3 4 a

nd 1 4 : 2. Combine like terms: 15y − 6 + 5 = 1 2 y + 5y + 2 15y − 1 = 11 2 y + 2 What is the solution?
Mathematics
2 answers:
Lady_Fox [76]3 years ago
8 0

Answer:

6/9

Step-by-step explanation:

Orlov [11]3 years ago
3 0

Answer:

The solution of the equation is y = 6/19

Step-by-step explanation:

Seems the division signs are omitted. The correct equation is given below.

The equation is:

3/4 (20y − 8) + 5 = 1/2 y + 1/4 (20y + 8)  

1. Distribute 3/4 and 1/4, so that we get

15y - 6 + 5 = 1/2y + 5y + 2

2. Combine like terms, we get

15y - 1 = 11/2 y +2

Now, we will collect like terms

15y - 11/2 y = 2 + 1

This can properly written as

15y - \frac{11}{2}y = 2 + 1

\frac{30y - 11y}{2} = 3

\frac{19y}{2}  = 3

Then,

19y = 2 \times 3

19y = 6

∴ y = 6/19

Hence, the solution of the equation is y = 6/19.

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Pls helppp lol i dont understand how to do this. can someone give me an explanation?
Black_prince [1.1K]

Answer:

5%

Step-by-step explanation:

Look at the values from high school athletes (the first row of numbers) to the values of college student athletes (the second row). Since we are only looking for male percentages, ignore the women's basketball

Take any of the college values, and divide it by the high school values. After this, multiply by 100 to get a percentage

Example, 56500 ÷ 983600 = 0.05

0.05 * 100 = 5%

You will get 5% for all males sports in this table

5 0
3 years ago
Read 2 more answers
2.10 Guessing on an exam: In a multiple choice exam, there are 6 questions and 4 choices for each question (a, b, c, d). Nancy h
ololo11 [35]

Answer:

a) p = (3/4)^5 *(1/4) =0.0593

b) P(X=6) = (6C6) (0.25)^6 (1-0.25)^{6-6}= 0.000244

c) P(X \geq 1)

And we can use the complement rule like this:

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

P(X=0) = (6C0) (0.25)^0 (1-0.25)^{6-0}= 0.17798

And replacing we have:

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

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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!}  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

We can model the number of correct questions answered with a binomial distribution X \sim Binom(n = 6, p = 1/4=0.25)

Solution to the problem

Assuming the following questions:

a) the first question she gets right is the 6th question?  

For this case we want the first 5 questions incorrect and the last one correct, assuming independence we have:

p = (3/4)^5 *(1/4) =0.0593

(b) she gets all of the questions right?

For this case we want all the questions right so then we want this:

P(X=6) = (6C6) (0.25)^6 (1-0.25)^{6-6}= 0.000244

(c) she gets at least one question right?

For this case we want this probability:

P(X \geq 1)

And we can use the complement rule like this:

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

P(X=0) = (6C0) (0.25)^0 (1-0.25)^{6-0}= 0.17798

And replacing we have:

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

7 0
2 years ago
What is the reciprocal of 4 5/8
Andrei [34K]

Answer:

8/45

Step-by-step explanation:

Write 4 5/8 as an improper fraction:  45/8.

Then invert this result, obtaining:

 .  This is the "reciprocal" of 4 5/8.

5 0
3 years ago
Read 2 more answers
the sum of 2 numbers is 56.twice the smaller number exceeds one-half the larger number by 22.find the numbers
Alexxandr [17]

Answer:

the numbers are 18 and 38

Step-by-step explanation:

x =smaller integer and y =larger integer

6 0
3 years ago
Read 2 more answers
Someone pls help asap this is due tmrw !!<br><br> x - 3y = -12<br> 2x + 3y = 3
hram777 [196]

Answer:

Step-by-step explanation:

to solve this system of equations we will add them

x-3y=-12

2x+3y=3 now +3y-3y=0

3x=-12+3

3x=-9

x=-3

plug in the first equation

-3-3y=-12

-3y=-12+3

-3y=-9

y=3

4 0
3 years ago
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