Answer:
### What are equivalent fractions? What is a mathematical function, equation and expression?

It is proved that the given decimals are **equivalent** decimals.

**equivalent fractions**: Equivalent fractions can be defined as fractions that may have**different**numerators and denominators but they represent the**same value.****function**: In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the**domain**of the function and the set Y is called the**codomain**of the function.

**expression**: A mathematical expression is made up of terms**(constants**and**variables)**separated by mathematical operators.

**equation**: A mathematical equation is used to**equate**two expressions.

Given are the fractions -

**7/10 **and** 70/100**

We have the following fractions -

A = (7/10) = 0.7

B = 70/100 = (7 x 10)/(10 x 10) = (7/10)

B = (7/10) = 0.7

It can be seen that fraction **A** equals to **B**.

Therefore, it is proved that the given decimals are **equivalent** decimals.

To solve more questions on **functions, expressions **and **polynomials**, visit the link below -

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Answer:

**Step-by-step explanation:**

7/10 in percentage form is 70%

70/100 in percentage form is 70%

Simple as that

HELP PLS MATH HELP ASAP CORRECT ANSWER ONLY PLS

A certain firm has plants a, b, and c producing respectively 35\%, 15\%, and 50\% of the total output. The probabilities of a nondefective product are, respectively, 0.75, 0.95, and 0.85. A customer receives a defective product. What is the probability that it came from plant c?

One size of pizza served at Joe’s Pizza Parlor is 10in. in diameter. What is the area of this particular (circular) size pizza? (Pie=3.14)

An article in the ASCE Journal of Energy Engineering ("Overview of Reservoir Release Improvements at 20 TVA Dams," Vol. 125, April 1999, pp. 1-17) presents data on dissolved oxygen concentration from streams below 20 dams in the Tennessee Valley Authority system. The sample mean from the observations equals 3.234 and the sample standard deviation is s = 2.121. a) Calculate the 95% two-sided prediction interval on the dissolved oxygen concentration for the next stream that will be tested. (rounded to two decimal places)

Consider three boxes with numbered balls in them. Box A con- tains six balls numbered 1, . . . , 6. Box B contains twelve balls numbered 1, . . . , 12. Finally, box C contains four balls numbered 1, . . . , 4. One ball is selected from each urn uniformly at random. (a) What is the probability that the ball chosen from box A is labeled 1 if exactly two balls numbered 1 were selected(b) What is the probability that the ball chosen from box B is 12 if the arithmetic mean of the three balls selected is exactly 7?

A certain firm has plants a, b, and c producing respectively 35\%, 15\%, and 50\% of the total output. The probabilities of a nondefective product are, respectively, 0.75, 0.95, and 0.85. A customer receives a defective product. What is the probability that it came from plant c?

One size of pizza served at Joe’s Pizza Parlor is 10in. in diameter. What is the area of this particular (circular) size pizza? (Pie=3.14)

An article in the ASCE Journal of Energy Engineering ("Overview of Reservoir Release Improvements at 20 TVA Dams," Vol. 125, April 1999, pp. 1-17) presents data on dissolved oxygen concentration from streams below 20 dams in the Tennessee Valley Authority system. The sample mean from the observations equals 3.234 and the sample standard deviation is s = 2.121. a) Calculate the 95% two-sided prediction interval on the dissolved oxygen concentration for the next stream that will be tested. (rounded to two decimal places)

Consider three boxes with numbered balls in them. Box A con- tains six balls numbered 1, . . . , 6. Box B contains twelve balls numbered 1, . . . , 12. Finally, box C contains four balls numbered 1, . . . , 4. One ball is selected from each urn uniformly at random. (a) What is the probability that the ball chosen from box A is labeled 1 if exactly two balls numbered 1 were selected(b) What is the probability that the ball chosen from box B is 12 if the arithmetic mean of the three balls selected is exactly 7?

**Answer: See below**

**Step-by-step explanation:**

The point-slope equation is y-y₁=m(x-x₁). Since we don't know our slope, we can use the formula to find the slope. All we have to do is use the coordinate we were given and plug it into the formula.

Now that we have the slope, we can fill out the point-slope equation.

**y-(-3)=2/5(x-(-3))**

**y+6=2/5(x+3)**

This is the point-slope form.

Now, we can distribute and solve to get slope-intercept form.

**y+6=2/5x+6/5**

**y=2/5x-24/5**

The equation of the line through the points (-3,-3) and (2,-1) can be found using point-slope form. It is y = (2/5)x - 9/5 in slope-intercept form.

To find the equation of a line using the point-slope form, we need to determine the slope of the line and use one of the given points to write the equation. Firstly, let's find the slope of the line using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the coordinates (-3, -3) and (2, -1) into the formula gives us m = (-1 - (-3)) / (2 - (-3)) = 2/5. Now, we can choose one of the points (for example, (-3, -3)) and use the point-slope form equation: y - y1 = m(x - x1). Substituting the values, we get y - (-3) = (2/5)(x - (-3)). Simplifying the equation yields y + 3 = (2/5)(x + 3), which is the equation of the line in point-slope form.

To rewrite the equation in slope-intercept form y = mx + b, we need to isolate the y variable. Distributing the (2/5) to (x + 3) in the point-slope form equation gives us y + 3 = (2/5)x + 6/5. Subtracting 3 from both sides gives us y = (2/5)x + 6/5 - 3. Simplifying further, the equation becomes y = (2/5)x - 9/5. Therefore, the equation of the line through (-3, -3) and (2, -1) in slope-intercept form is y = (2/5)x - 9/5.

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49

4

B) multiply the binomials; minimum value;

49

4

C) set each factor equal to zero and solve for x; minimum value;

−2

5

D) set each factor equal to zero and solve for x; maximum value;

−7

2

Definitely multiply out the given factors:

f(x) = 10 + 2x - 5x - x^2, or f(x) = -x^2 - 3x + 10

Find the derivative: f '(x) = -2x - 3

Set the deriv. = to 0 and solve for x: -2x = 3, and x = -3/2

This x = -3/2 is the x-coordinate of the max value. The y-coord. is

f(-3/2) = (-3/2)^2 - 3(-3/2) + 10 = 21.25

I realize that this result does not agree with any of the four possible answers. Please ensure that y ou have copied down this problem completely and correctly.

f(x) = 10 + 2x - 5x - x^2, or f(x) = -x^2 - 3x + 10

Find the derivative: f '(x) = -2x - 3

Set the deriv. = to 0 and solve for x: -2x = 3, and x = -3/2

This x = -3/2 is the x-coordinate of the max value. The y-coord. is

f(-3/2) = (-3/2)^2 - 3(-3/2) + 10 = 21.25

I realize that this result does not agree with any of the four possible answers. Please ensure that y ou have copied down this problem completely and correctly.

**Answer: A. 12%**

**Step-by-step explanation:-**

**Given : **In an exam , Mean score :

Standard deviation :

Let X be a random variable that represents the scores of students.

We assume that the points are normally distributed.

**Z-score :**

**For x = 85, we have**

**Then using standard normal distribution table, the probability that the students received more than 85 is given by :-**

**Hence, the percentage of students received more than 85 =12%**

O B. Y= 2x – 9

O C. y² = x - 2

O D. x² + y² = 9

the answer is B -- no matter the x factor y should be single

defective. The quality control manager tests a random sample of

30 batteries in each shipment. Simulate the test by generating random

numbers between 1 and 600. How well does your sample represent the

shipment? Explain. (Explore Activities 1 and 2)

**Answer:**

18.33

**Step-by-step explanation:**

600 -50 ÷ 30

550 ÷30 = 18.333

Omg I need help ASAP TOO Twinzies