An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than allowed by environmental regulations. They measure water temperatures at the cooling system input and the cooling system output for several different days in several different seasons.A data file containing these measurements is HW_PTA 243.csv.Do a statistical analysis on this data to determine if the temperature change between the input and output of the cooling system is different than 6 degrees. What does your analysis indicate?
A) The cooling system changes the temperature of the water by an amount different than 6 degrees.
B) The cooling system changes the temperature of the water by 6 degrees.

Answer:  3×22+c≤85

Step-by-step explanation: i think the answer is 3×22+c≤85 because 3x 22 represent the total cost of azaleas + c the cost of salvia is less than or equal to 85 because the buget is 85 and it cannot be greater

Hope this helped

The inequality for the given situation is 66+c ≤ 85.

Given that, Frank plans to spend no more than $85 on plants for his front garden. He purchases a salvia and 3 azaleas. The azaleas cost $22 each.

In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

Let c be the cost for a salvia.

Three azaleas + A salvia ≤ 85

3×22+c ≤ 85

⇒ 66+c ≤ 85

Therefore, the inequality for the given situation is 66+c ≤ 85.

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Answer:

m∠6 = 54°

Step-by-step explanation:

∠6 is equal to (5x + 9) because they are vertical angles. But, to be able to find the measure of ∠6, you will need to find the value of (5x + 9). So, since ∠5 is equal to (13x + 9) because they are Corresponding Angles, (5x + 9) and (13x + 9) are supplementary because they are a linear pair.

So:

m∠6 = 5x + 9 and

5x + 9 + 13x + 9 = 180°

18x + 18 = 180

18x = 162

x = 9

To find m∠6, plug in values:

m∠6 = 5x + 9

         = 5(9) + 9

         = 45 + 9

         = 54°

y=-4x-2

Step-by-step explanation:

Answer:

y= -4x-2

Step-by-step explanation:

10- -6/-3-1

10+6/-3-1

16/-4

-4

Answer:

3.5 feet

Step-by-step explanation:

The question isn't formatted properly.

We have:

(x + 6) feet on each side of the square

(3x + 6) feet horizontally on the rectangle

(x - 1) feet vertically on the rectangular

First, we need to determine the perimeter of the square:

[tex]Perimeter = 4 * Length[/tex]

[tex]Perimeter = 4 * (x + 6)[/tex]

[tex]Perimeter = 4x + 24[/tex]

Next, we determine the perimeter of the rectangle

[tex]Perimeter = 2(Length + Width)[/tex]

[tex]Perimeter = 2(3x + 6 + x - 1)[/tex]

[tex]Perimeter = 2(3x + x+ 6 - 1)[/tex]

[tex]Perimeter = 2(4x+ 5)[/tex]

[tex]Perimeter = 8x+ 10[/tex]

Equate both perimeters:

[tex]8x + 10 = 4x + 24[/tex]

Collect Like Terms

[tex]8x - 4x = 24 - 10[/tex]

[tex]4x = 14[/tex]

Solve for x

[tex]x = 14/4[/tex]

[tex]x = 3.5[/tex]

This question is Incomplete

Complete Question

What sample size is needed to give a margin of error within ± 13 in estimating a population mean with 99% confidence, assuming a previous sample had s=116

Answer:

The sample size n = 530 samples

Step-by-step explanation:

Margin of Error formula = z × standard deviation/√n

Margin of Error = ± 13

Standard deviation = 116

z = z score of 99% = 2.58

±13 = 2.58 × 116/√n

Cross Multiply

±13 × √n = 2.58× 116

±13 × √n = 299.28

√n = 299.28/±13

√n = ± 23.0215384615

Square both sides

(√n)² = (±23.0215384615)²

n = 529.991233134

Approximately , n = 530 samples

Answer:

y =(x+3) ^2

Step-by-step explanation:

The zero is -3 and it  is the vertex  (-3,0)

Using the vertex form of a parabola  where  ( h,k) is the vertex

y = a( x-h)^2 +k

y =a(x- -3) ^2+0

y =a(x+3) ^2

We also know another point is ( -1,4)

Substituting that point into the equation

4 = a( -1+3) ^2

4 = a( 2)^2

4 = a*4

Divide each side by 4

1 =a

The equation is

y =(x+3) ^2

Answer:

40%

Step-by-step explanation:

12 ÷ 20 = .6

You can convert the .6 to a percentage by multiplying it:

.6 x 100 = 60%

If 12 is 60% of 20, then that means 40% was taken away.

 Price of the sweater was reduced by 40%.

   Given in the question,

Percentage reduction in the price from $20 to $12 can be calculated from the expression,

Percentage reduction = [tex]\frac{\text{Change in price}}{\text{Original price}}\times 100[/tex]

                                     = [tex](\frac{20-12}{12})\times 100[/tex]

                                     = [tex]\frac{8}{12}\times 100[/tex]

                                     = 40%

     Therefore, price of the sweater was reduced by 40%.

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Answer:

RC,\α is a rigid motion.

Here C, is the rotacenter which is the fixed point and around C all other points move in a fixed distance by the definition of rotation.

the motion follows in a circularmanner with C as the center.

consider a point Q which changes to Q1 after rotation by an angle\alpha

Step-by-step explanation:

When considering rotational motion and subsequently rotational mechanics every point on the body must have same angular velocity and angular acceleration. If the body is not rigid different points on the body will have different angular velocity and angular acceleration.

Answer: y= -2x + 12

or f (y ) = 6 - [tex]\frac{y}{2}[/tex]

Step-by-step explanation:

just subtract the 2x to get the y alone

Answer:

c. a translation down and to the left

Step-by-step explanation:

As per translation of a graph, the first transformation for this composition is translation down and to the left.

"A translation of a graph is its rigid movement, vertically or horizontally."

Here, A composition of transformations maps pre-image EFGH to final image E"F"G"H".

Trapezoid E F G H is shifted down and to the left to trapezoid E prime F prime G prime H prime.

Therefore, this transformation for this composition is translation down and to the left, and the second transformation is a reflection across line c.

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Answer:

25.

Step-by-step explanation:

f(x)=-3+2(x-1)

f(15)=-3+2(15-1)

f(15)=-3+2(14)

f(15)=-3+28

f(15)=25

Answer:

In step 1 the y-intercept should be plotted at (0,-6)

Step-by-step explanation:

Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.

Since the formula is y = -3/4x -6

We just insert a 0 insted of the "x"

y = -3/4(0) -6

y=0-6

y=6

So the y-intercept sould be placed in (0,-6)

That's what he did wrong when graphing the equation.

Answer:

Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.

Step-by-step explanation:

Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.

Since the formula is y = -3/4x -6

We just insert a 0 insted of the "x"

y = -3/4(0) -6

y=0-6

y=6

So the y-intercept sould be placed in (0,-6)

That's what he did wrong when graphing the equation.

Answer:

please mark brainliest!

Step-by-step explanation:

2.57

Answer:

2.57

Hope this helps! Mark me brainliest

god bless!

Answer:

2a⁷

Step-by-step explanation:

you have to add 3 to 4

9514 1404 393

Answer:

In order of improvement:

Step-by-step explanation:

In my engineering experience, a method of estimating should satisfy two requirements:

__

Multiplication and division by 2 are generally easy to perform mentally.

We note that 45% is about 50%.

  50% of 76 is 76/2 = 38 . . . a good starting estimate

45% is down 5% from 50%, so the actual value will be 5/50 = 10% lower than this first estimate

A good second estimate is 38 -0.10(40) = 34.

A better estimate is 38 -3.8 = 34.2, which is the actual value of the expression.

_____

Alternate approach

You could also transform the problem to 76% of 45, which is about 3/4 of 44, or about 33. Figuring the error adjustment on this approach is somewhat more difficult, as it is factors of 1/75 and 1/44 too low. 1 part in 44 is not too difficult to figure, as it is 33/44 = 3/4, so a better estimate is 33.75. It takes a calculator to figure 1 part in 75 of this, which is 0.45. Adding that amount gets you to the actual value of 34.2.

Answer:

I think 2n-8 because you are taking 8 away from 2 times a number

Step-by-step explanation:

Answer:

its irrational if the number goes on forever my g

Step-by-step explanation:

[tex]\frac{8}{5}[/tex]÷6[tex]\frac{3}{4}[/tex]

First, simplify the 6[tex]\frac{3}{4}[/tex] to an improper fraction, which is:

[tex]\frac{27}{4}[/tex]

Next rewrite the equation using the improper fraction:

[tex]\frac{8}{5}[/tex]÷[tex]\frac{27}{4}[/tex]

Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase Copy Dot Flip - Copy the first fraction, put a dot for multiplication, and flip the second fraction.

[tex]\frac{8}{5}[/tex]·[tex]\frac{4}{27}[/tex]

Finally, multiply together and simplify/reduce if needed:

The final answer is [tex]\frac{32}{135}[/tex] and no simplification or reduction is needed

Answer:

x = -5

Step-by-step explanation:

-6 + x = -11

x = -11 + 6

x = -5

Answer:

x=17

Step-by-step explanation:

17+ -6= 11

pls mark brainlest for real ('>')

Answer:

B because the domains repeat themselves so it can not be a function

No; the domain values are not at regular intervals.

The correct option is b.

Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.

In an exponential function, the domain values are usually at regular intervals, and the range values have a common factor or a common sum.

In the given data, the domain values are not at regular intervals.

The difference between 3 and 1 is 2, and the difference between 1 and -1 is 2, but the difference between -1 and -3 is -2.

This indicates that the domain values are not at regular intervals, which means that the data cannot be modeled by an exponential function.

Additionally, the range values also do not have a common factor or a common sum. The difference between consecutive y-values is 1, which is not a constant factor or sum.

Therefore, the data cannot be modeled by an exponential function.

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Answer:your answer is C!

Step-by-step explanation: I got it right

Answer:

c) Yes. When –4 is substituted for the variable, the result is a true statement.

Step-by-step explanation:

i verified with my teacher may i plz get brainliest

Answer: 1/4x(3x+8)

Step-by-step explanation:

hope this helps

let me know if its correct!!

Answer:

idk if this helps but here:

Cutoff points are a crucial piece of calculus and are among the main things that understudies find out about in a calculus class. So, finding the constraint of a capacity implies figuring out what esteem the capacity approaches as it draws nearer and more like a specific point.

Step-by-step explanation:

Answer:

The expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.

Step-by-step explanation:

Let X represents the number of graphing calculator that starts malfunctioning within 36 months of the purchase and needs to be replaced by a new one.

It is provided that X follows a normal distribution with a mean of 54 months and a standard deviation of 8 months.

Also, using the normal model it was determined that 1.22% of graphing calculator manufactured by Texas Instruments malfunctions and needs replacement.

That is,

P (X) = 0.0122

Texas Instruments has sold 75 million graphing calculators world- wide.

Compute the expected number of graphing calculators that malfunctions within 3 months and need to be replaced as follows:

E (X) = n × P (X)

        = 75 × 10⁶ × 0.0122

        = 915000

Thus, the expected number of graphing calculators that malfunctions within 3 months and need to be replaced is 915,000.

Answer:

53.04

Step-by-step explanation:

Answer:

52.904

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

literally if this is wrong i swear

Answer:

19

Step-by-step explanation:

Answer:

1. The null hypothesis is that there is no difference between the population means (in other words, there is no treatment effect).

2. The alternative hypothesis is that at least one of the population means is different from another (in other words, there is an effect Of at least one Of the treatments).

Step-by-step explanation:

In a statistical analysis, the statistician shares his participants into several groups and administers treatments to them. After administering the treatment, he might want to compare the values obtained to see if there is a difference. If he accepts the null hypothesis as true, that means that there was no difference between the population means. This can also be taken to mean that the result had no difference among the groups.

But if the alternative hypothesis was true, that means that the population means were not all equal and so, there was an effect from the treatment administered.  

Answer:

1. The null hypothesis is that there is no difference between the population means (in other words, there is no treatment effect).

2. The alternative hypothesis is that at least one of the population means is different from another (in other words, there is an effect Of at least one Of the treatments).