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3 years ago

IS ANYONE GOOD IN REFLECTIONS??? BRAINLEST AND POINTS

Mathematics

1 answer:

FromTheMoon [43]3 years ago

5 0

Answer:

15 A graph has a constant of proportionality of 7.2. Let y represent minutes and x represent miles.

What is the unit rate of the relationship?

Step-by-step explanation:

You might be interested in

The medical assistant weighs patients each month. Mrs. Smith weighed 120 pounds last month.

Paladinen [302]

13) 120 + 1.5 + 0.25 = 121.75 pounds

14) 4 - 1.5 = 2.5 pints

15) (2.25)(32)= $72

5 0

2 years ago

An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than

Tpy6a [65]

Answer:

The correct option is b

The correct option is h

Step-by-step explanation:

From the question we are told that

The sample size is n = 15

The difference in population proportion is $d = 6$

Generally the sample mean of the input temperature is

$\= x_1 = \frac{\sum x_i }{n}$

=> $\= x_1 = \frac{57.6 + 68.9 + \cdots +60.4 }{15}$

=> $\= x_1 = 62.57$

Generally the sample mean of the output temperature is

$\= x_2 = \frac{\sum x_i }{n}$

=> $\= x_2 = \frac{65.1 + 74.4 + \cdots +67.3 }{15}$

=> $\= x_2 = 55.97$

Generally the difference of the sample mean of the input temperature and that of the output temperature is

$\= d = \= x_1 - \= x_2$

=> $\= d = 62.57 -55.97$

=> $\= d = 6.6$

Generally the standard deviation is mathematically represented as

$s_d = \sqrt{\frac{\sum(d_1 - \= d )^2}{n} }$

=> $s_d = \sqrt{\frac{([57.6- 65.1]- 6.6)^2+ ([68.9 - 74.4]- 6.6)^2 + \cdots + ([60.4 - 67.3]- 6.6)^2 }{15} }$

=> $s_d = 1.732 [/texGenerally the test statistics is mathematically represented as [tex]t = \frac{ d - \= d }{ \frac{s_d}{\sqrt{n} } }$

=> $t = \frac{ 6-6.6 }{ \frac{1.732}{\sqrt{15} } }$

=> $t = 1.3417$

Generally the degree of freedom is mathematically represented as

$df = n - 1$

=> $df = 15 - 1$

=> $df = 14$

Generally the probability of t obtained from the t - distribution table at a degree of freedom of $df = 14$ is

$P(t >1.3417 ) = 0.10052569$

Generally the p-value is mathematically represented as

$p-value = 2 * P(t > 1.3417)$

=> $p-value = 2 * 0.10052569$

=> $p-value = 0.201$

From the values obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

The cooling system changes the temperature of the water by 6 degrees.

8 0

4 years ago

Consider the polynomial p(x)=8x3+12x2+2x+3.

Ivahew [28]

A: $(4x^2+1)(2x+3)$

B: grouping

Step-by-step explanation:

We are given the polynomial: $p(x)=8x^3+12x^2+2x+3$

Part A: What is the correct factorization of $p(x)=8x^3+12x^2+2x+3$ over the integers?

We need to factorize the term $p(x)=8x^3+12x^2+2x+3$

Factorizing by grouping:

$p(x)=8x^3+12x^2+2x+3$

$p(x)=(8x^3+12x^2)+(2x+3)$

$p(x)=4x^2(2x+3)+1(2x+3)$

$p(x)=(4x^2+1)(2x+3)$

So, factors of the term $p(x)=8x^3+12x^2+2x+3$ are $p(x)=(4x^2+1)(2x+3)$

Part B: What method is used to factor p(x)=8x3+12x2+2x+3?

The method used to factor the given polynomial is grouping.

We group the terms and then find the common terms in that specific group

So, the answers are:

A: $(4x^2+1)(2x+3)$

B: grouping

Keywords: Finding Factors

Learn more about finding factors at:

#learnwithBrainly

3 0

4 years ago

Which of these expressions is equivalent to 6x – 10x + 20?

erastova [34]

Answer:

4(5-x)

Step-by-step explanation:

6x-10x+20 4(5-x)

-4x+20 20-4x

and those two are both equivalent

4 0

3 years ago

Which classification best describes the following system of equations?

wolverine [178]

The given system of equations is consistent and independent so, $\fbox{\begin\\\ \bf option (3)\\\end{minispace}}$ is correct.

Further explanation:

A system of equations is said to be a consistent system if the solution exists and if the solution does not exist then it is an inconsistent system.

If a consistent system has a unique solution then it is an independent system of equations but if the number of solutions is infinite then it is a dependent system of equations.

Label the given equations as shown below:

$\boxed{x-2y+4z=3}$ …… (1)

$\boxed{12x+5y-3z=36}$ …… (2)

$\boxed{9x-10y+5z=27}$ …… (3)

The augmented matrix for the above equations is, as follows:

$\left[\begin{array}{ccc}1&-2&4\\12&5&-3\\9&-10&5\end{array}\Biggm\vert\begin{array}{c}3\\26\\27\end{array}\right]$

Apply row transformation $R_{2}\rightarrow R_{2}-12R_{1}$ and $R_{3}\rightarrow R_{3}-9R_{1}$ as,

$\left[\begin{array}{ccc}1&-2&4\\0&29&-51\\0&8&-31\end{array}\Biggm\vert\begin{array}{c}3\\0\\0\end{array}\right]$

Now, apply row transformation $R_{2}\rightarrow R_{2}-4R_{3}$ and $R_{3}\rightarrow R_{3}-3R_{2}$ as,

$\left[\begin{array}{ccc}1&-2&4\\0&-3&73\\0&-1&188\end{array}\Biggm\vert\begin{array}{c}3\\0\\0\end{array}\right]$

Now, apply row transformations $R_{2}\rightarrow -R_{2}+2R_{3}$ and $R_{3}\rightarrow R_{3}+R_{2}$ as,

$\left[\begin{array}{ccc}1&-2&4\\0&1&303\\0&0&491\end{array}\Biggm\vert\begin{array}{c}3\\0\\0\end{array}\right]$

The equations obtained from the above augmented matrix are,

$\begin{aligned}x-2y+4z&=3\\y+303z&=0\\491z&=0\end{aligned}$

The first equation is simplified to obtain the value of z as,

$\begin{aligned}491z&=0\\z&=0\end{aligned}$

Substitute $0$ for $z$ in the equation $y+303z=0$ to obtain the value of $y$ as,

$\begin{aligned}y+(303\cdot0)&=0\\y&=0\end{aligned}$

Now, substitute $0$ for $z$ and $0$ for $y$ in the equation $x-2y+4z=3$ to obtain the value of $x$ as,

$\begin{aligned}x-(2\cdot0)+(4\cdot0)&=3\\x&=3\end{aligned}$

Therefore, the value of $x$ is $3$ , the value of $y$ is $0$ and the value of $z$ is $0$ and the system has a unique solution.

Thus, the given system of equations is consistent and independent.

Option (1)

Here, the first option is inconsistent and dependent.

There exists a solution of the given system of equations so it is consistent.

Therefore, option (1) is incorrect.

Option (2)

Here, the second option is consistent and dependent.

There exists a solution of the given system of equations so it is consistent.

Also, the solution is unique therefore the system of equations is independent.

Therefore, option (2) is incorrect.

Option (3)

Here, the third option is consistent and independent.

There exists a solution of the given system of equations so it is consistent.

Also, the solution is unique therefore the system of equations is independent.

Therefore, option (3) is correct.

Option (4)

Here, the fourth option is inconsistent and independent.

There exists a solution of the given system of equations so it is consistent.

Therefore, option (4) is incorrect.

Learn more:

1. A problem on circle brainly.com/question/9510228.

2. A problem on general equation of a circle brainly.com/question/1506955.

Answer details

Grade: High school

Subject: Mathematics

Chapter: System of linear equations

Keywords: Equations, unique solution, independent, dependent, consistent, inconsistent, infinite solutions, homogeneous equation, non- homogeneous equation, determinant.

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3 years ago

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IS ANYONE GOOD IN REFLECTIONS??? BRAINLEST AND POINTS​

IS ANYONE GOOD IN REFLECTIONS??? BRAINLEST AND POINTS