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
elena-s [515]
3 years ago
14

Py+7=6y+q what is the answer for this question (linear equations with unknown coefficients)?

Mathematics
2 answers:
Temka [501]3 years ago
3 0
Assuming your solving for y:
py+7=6y+q
-6y -7 -6y -7
(p-6)y = q-7
divide both sides by p-6
y=(q-7)/(p-6)
kompoz [17]3 years ago
3 0

Answer:

The required equation is  y =\frac{(q-7)}{(p-6)}.

Step-by-step explanation:

Consider the provided equation.

py+7=6y+q

We need to simplify the equation and convert it into a linear equation with unknown coefficients.

Subtract 6y from both sides.

py - 6y + 7 = q

Subtract 7 from both sides.

py - 6y = q - 7  

Take y common from left side.

y(p-6) = q-7

 Divide both sides by p-6.

 y =\frac{(q-7)}{(p-6)}

Hence, the required equation is  y =\frac{(q-7)}{(p-6)}.

You might be interested in
Tc = fixed cost + variable cost
natima [27]

Answer:

These correspond to two types of cost: fixed cost and variable cost. Fixed cost (FC): the cost of all fixed inputs in a production process. Another way of saying this: production costs that do not change with the quantity of output produced. Variable cost (VC): the cost of all variable inputs in a production process.

4 0
3 years ago
Solve x to the second power = 144
vfiekz [6]

x ^ 2 = 144

x = 12, x = -12

Check:

12 * 12 = 144

-12 * -12 = 144

6 0
3 years ago
Read 2 more answers
A consumer products company is formulating a new shampoo and is interested in foam height (in mm). Foam height is approximately
Genrish500 [490]

Answer:

a) 0.057

b) 0.5234

c) 0.4766

Step-by-step explanation:

a)

To find the p-value if the sample average is 185, we first compute the z-score associated to this value, we use the formula

z=\frac{\bar x-\mu}{\sigma/\sqrt N}

where

\bar x=mean\; of\;the \;sample

\mu=mean\; established\; in\; H_0

\sigma=standard \; deviation

N = size of the sample.

So,

z=\frac{185-175}{20/\sqrt {10}}=1.5811

\boxed {z=1.5811}

As the sample suggests that the real mean could be greater than the established in the null hypothesis, then we are interested in the area under the normal curve to the right of  1.5811 and this would be your p-value.

We compute the area of the normal curve for values to the right of  1.5811 either with a table or with a computer and find that this area is equal to 0.0569 = 0.057 rounded to 3 decimals.

So the p-value is  

\boxed {p=0.057}

b)

Since the z-score associated to an α value of 0.05 is 1.64 and the z-score of the alternative hypothesis is 1.5811 which is less than 1.64 (z critical), we cannot reject the null, so we are making a Type II error since 175 is not the true mean.

We can compute the probability of such an error following the next steps:

<u>Step 1 </u>

Compute \bar x_{critical}

1.64=z_{critical}=\frac{\bar x_{critical}-\mu_0}{\sigma/\sqrt{n}}

\frac{\bar x_{critical}-\mu_0}{\sigma/\sqrt{n}}=\frac{\bar x_{critical}-175}{6.3245}=1.64\Rightarrow \bar x_{critical}=185.3721

So <em>we would make a Type II error if our sample mean is less than 185.3721</em>.  

<u>Step 2</u>

Compute the probability that your sample mean is less than 185.3711  

P(\bar x < 185.3711)=P(z< \frac{185.3711-185}{6.3245})=P(z

So, <em>the probability of making a Type II error is 0.5234 = 52.34% </em>

c)

<em>The power of a hypothesis test is 1 minus the probability of a Type II error</em>. So, the power of the test is

1 - 0.5234 = 0.4766

3 0
3 years ago
What is the point called when it's on the y axis and never ends
sineoko [7]
A segment? ????? Not so sure about that one
3 0
3 years ago
1. Find the inverse of the one-to-one function f(x)= 6x-7 / 5
Elenna [48]
Rewrite it as y=6x-7/5

Flip the x and y
x=6y-7/5

Solve
5x=6y-7
5x+7=6y
5/6x+7/6=y

f^-1(x)=5/6x+7/6
4 0
3 years ago
Other questions:
  • Use the balanced scale to find the conversion factor that can be used to convert the number of blocks to the weight of the block
    10·2 answers
  • See the attachment below for the question.
    10·1 answer
  • Find the midpoint m of z1= (7 + 2i) and z2= (1 + 5i).
    12·1 answer
  • PLEASE HELP ASAP WILL MARK THE BRAINLEST
    13·2 answers
  • The value of x in this system of equations is 1. 3x + y = 9 y = –4x + 10
    12·2 answers
  • there is a ratio of 5 girls to 3 boys in the chorus.there are 24 boys in the chorus.how many girls are in chorus
    12·2 answers
  • Delia, Edwin and Freya share some money in the ratio 5:7:8 Freya's share is £1600 how much did they share?
    15·1 answer
  • In the picture below, which segment is parallel to AD
    14·1 answer
  • Mr. Ramirez gave his class
    14·1 answer
  • Two options are described below.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!