Simplify the expressions by distributing and combining like terms 5/8x-2(7-1/4x)

Answer:

1

The correct option is  b

2

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 [tex]d = 6[/tex]

Generally the sample mean of the input temperature is  

     [tex]\= x_1  =  \frac{\sum x_i }{n}[/tex]

=>  [tex]\= x_1  =  \frac{57.6 + 68.9 + \cdots +60.4  }{15}[/tex]

=>  [tex]\= x_1  = 62.57 [/tex]

Generally the sample mean of the output temperature is  

     [tex]\= x_2  =  \frac{\sum x_i }{n}[/tex]

=>  [tex]\= x_2  =  \frac{65.1 + 74.4 + \cdots +67.3 }{15}[/tex]

=>  [tex]\= x_2 = 55.97 [/tex]

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

     [tex]\= d  =  \= x_1  - \= x_2[/tex]

=>  [tex]\= d  =  62.57 -55.97[/tex]

=>  [tex]\= d  =  6.6[/tex]

Generally the standard deviation is mathematically represented as

     [tex]s_d  =  \sqrt{\frac{\sum(d_1 - \= d )^2}{n} }[/tex]

=>  [tex]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} }[/tex]

=>  [tex]s_d  = 1.732 [/tex

Generally the test statistics is mathematically represented as

     [tex]t  =  \frac{ d - \= d  }{ \frac{s_d}{\sqrt{n} } }[/tex]

=>   [tex]t  =  \frac{ 6-6.6  }{ \frac{1.732}{\sqrt{15} } }[/tex]

=>   [tex]t  =  1.3417[/tex]

Generally the degree of freedom is mathematically represented as

    [tex]df =  n -  1[/tex]

=>  [tex]df =  15 -  1[/tex]

=>  [tex]df =  14[/tex]

Generally the probability of t obtained from the t - distribution table at a degree of freedom of  [tex]df =  14[/tex] is  

      [tex]P(t >1.3417 )  =  0.10052569[/tex]

Generally the p-value is mathematically represented as

      [tex]p-value  =  2 *  P(t >  1.3417)[/tex]

=>    [tex]p-value  =  2 *   0.10052569[/tex]

=>   [tex]p-value  =  0.201 [/tex]

From the values obtained we see that [tex]p-value  >  \alpha[/tex] 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.

Answer:

92052.73599

Step-by-step explanation:450,137,879 divded by 4,890 you'll get 4,890

Answer:

(4x-5) (2x+3)

Step-by-step explanation:

(4x-5) (2x+3)

The factors of the function f(x)=8x²+2x−15 are (4x -5) and (2x + 3).

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

We have the quadratic function,

f(x)=8x²+2x−15.

To find the factors:

8x²+2x−15,

= 8x²+ 12x - 10x −15

= 4x(2x +3) -5(2x +3)

= (4x -5)(2x + 3)

Therefore, the factors are  (4x -5) and (2x + 3).

To learn more about the quadratic function;

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Answer:

2/11

Step-by-step explanation:

Answer:

15% off

Step-by-step explanation:

mark brainliest please

Answer:

B

Step-by-step explanation:

-1.3 with a vinculum.

Answer:

G = M/3 + 2

Step-by-step explanaion

We can interpret the quotient of Myrons height and 3 as "M/3" and we add "+2" to account for the "2 in. taller" part of the problem. We can also represent George's height using "G"

The expression that represents George's height, in inches is G = M/3 + 2

What is algebra?

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Given:

George is 2 in. taller than the quotient of Myron's height and 3.

let  M represent Myron's height, in inches.

and, the quotient of Myrons height and 3 can be written as

=M/3

Now, add 2 to Myron's height.

Then George's height will be

G = M/3 + 2

Learn more about algebra here:

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same needs to climb at a 12 rate

Answer:

the answer would be 17.500

Answer:

x = 35/2

Step-by-step explanation:

add: (6/7)x = 8 + 7

(6/7)x = 15

multiply by the reciprocal

x = 15(7/6)

Simplify

x = 5(7/2)

multiply:

x = 35/2

Check:

(6/7)(35/2)  -8 = 7

15 -8 = 7

Answer:

I think it B as well as the other person I just learned this so I'm not the best at it

Answer:

No solutions

Step-by-step explanation:

3(3x + 2) = 9x + 7

9x + 6 = 9x + 7

9x - 9x = -6 + 7

0 = -1

No solutions

Hope this helps!

Answer:

22 students.

Step-by-step explanation:

There are a total of 40 players on the football team. 2/5 walk, 1/4 ride with their parents, and the rest ride the bus. To solve, I'm going to be using fractions to find out how many students ride the bus.

1/4 of 40 or 40/4 is equal to 10.

So we know 10 players ride with their parents.

2/5 of 40 or 40/5 is equal to 8.

Cool, 8 students walk to practice.

Now the rest ride the bus. Let's use addition to find the total amount of players that dont use the bus and subtract it from the total amount of players.

10+8=18

40-18=22.

22 students/players ride the bus to football practice.

answer

[tex]fx = - 3x \\ \frac{fx}{x} = - \frac{3x}{x} \\ f = - 3[/tex]

Answer:

learning only kang po yan

Step-by-step explanation:

basa lang

Answer:

y = -2x + 6

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

So we are given a point, (1, 4), and a slope, -2, and we are asked to write the information into slope-intercept form. To write something directly into slope-intercept form, we need the y-intercept and the slope. Here, we are given a point, that is not the y-intercept, and a slope.

Instead of plugging for m and b in the equation for slope-intercept form, we can write the equation in point-slope form and then solve for slope-intercept form.

Point-slope form is:

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁) is a point.

Lets plug in (1, 4) for (x₁, y₁) and -2 for m.

y - 4 = -2(x - 1)

Now lets solve for slope-intercept form. Distribute the -2 on the right side.

y - 4 = -2x + 2

Add 4 to both sides.

y = -2x + 6

And now we have the equation in slope-intercept form.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

-3x + 2 = y

As the y-intercept is y = 3

And the rise/run = 3/-1

Answer:

1/2

Step-by-step explanation:

Well first lets break it down into steps!

We have 1 cake.

Brother ate: 1/8

Mom ate: 1/8

Dad ate: 1/4

Now we know that 1/8 + 1/8 = 1/4.

So her brother and mom combined ate 1/4th of the cake.

Her dad also ate 1/4th.

So we have 1 - (1/4) - (1/4) = 2/4 = 1/2.

1/2 of the cake is left.

03 = 1000

8. 10-5 = 1/100,000 = 0.00001

9. 109 = 1,000,000,000

10. 1 X 10-2 = 1/100Answer:

1. 100 = 102

2. 10,000,000 = 107

3. 1 / 10,000 = 10-4

4. one million = 106

5. 1 / 10,000,000 = 10-7

6. one ten millionth = 10-7

7. 1 = 0.01

Step-by-step explanation:

Answer:jurrhthrhth

Step-by-step explanation:hdhdbbdfh

Answer:

69.08

Step-by-step explanation:

I hope this helped!

Answer:

the answer is C

Step-by-step explanation:

both the ordered pair satisfy the equation

Answer:

yes, she will still have 1/8 of a cup left

Step-by-step explanation:

you have to convert all the fractions to have the same denominator.

to do that you need improper fractions

3  1/2= 7/2

1  5/8= 13/8

1  3/4= 7/4

with this information, you need to find a common number between 2, 8, and 4. the largest number that they all fit into is 8.

so 7/2 becomes 28/8

13/8 stays the same

and 7/4 becomes 14/8

add 13/8 and 14/8 and subtract from 28/8

you get 1/8, which means you have enough flower for both recipes!

Answer:

[tex]YES.[/tex]

Step-by-step explanation:

[tex]if \: 1 \frac{5}{8} + 1 \frac{3}{4} = 3.375 \\ and \\ 3 \frac{1}{2} = \: 3.5 \\ then \: 3.5 > 3.375[/tex]

Answer: 210

Step-by-step explanation:

Given: total locations = 7

Number of locations wishes to rank = 3

If order of selection matters, then the number of permutations of r things from n= [tex]\dfrac{n!}{(n-r)!}[/tex]

The number of ways to rank 3 locations out of 7 [tex]=\dfrac{7!}{(7-3)!}=7\times6\times5=210[/tex]

Hence, the number of different ways required = 210

Answer:

1.8

Step-by-step explanation:

Answer:

use calculator

Step-by-step explanation:

search calculator on google

Answer:

b=-8

Step-by-step explanation:

Sorry I don't have time to show work right now and write it down but this is the answer.

Answer:

b=8

Step-by-step explanation:

1.1     Pull out like factors :

-8 - b  =   -1 • (b + 8)  

Solving a Single Variable Equation

2.1      Solve  :    -b-8 = 0  

Add  8  to both sides of the equation :  

                     -b = 8

Multiply both sides of the equation by (-1) :  b = -8

Answer:

area of a rectangle is length multiplied by breath, which is the multiplication of 5 an 1/3

Answer:

The answer is 5/3 hope that helps

Step-by-step explanation:

Sum of triangle: 180

So we know that:

7x + 3x + 8 + x + 7 = 180

Combine like terms:

11x + 15 = 180

11x = 165

x = 15

Plug in for x in order to find the angles.

You should be able to solve from here!

Answer:

  m∠I = 22

  m∠J = 53

  m∠K = 105

Step-by-step explanation:

m∠I = (x + 7)

m∠J = (3x + 8)

m∠K = (7x)

m∠I + m∠J + m∠K = 180°

(x + 7) + (3x + 8) + (7x) = 180

x + 7 + 3x + 8 + 7x = 180

11x + 15 = 180

11x = 165

x = 15

m∠I = 15 + 7 = 22

m∠J = 3(15) + 8 = 53

m∠K = 7(15) = 105

Answer:

1. 100 000, 89 000, 67 000, 55 000

2. 45 678, 34 567, 23 456, 12 345

3. 98 765, 87 654, 76 543, 65 432-