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Sav [38]
2 years ago
9

The conditional relative frequency table was generated using data that compares the favorite subjects of male and female student

s at a high school. The survey was given to 120 male students and 180 female students.
How many students in the survey said that math was their favorite subject?

A) 42

B) 81

C) 120

D) 123

Mathematics
2 answers:
Leona [35]2 years ago
3 0

Answer: Using the information of the conditional relative frequency table, 123 students in the survey said that math was their favorite subject.


Solution:

1. The survey was given to 120 male students.

Acconding with the table, the proportion of male students with Math as favorite subject is 0.35. The quantity of male students with Math as favorite subject would be:

0.35(120)=42 male students


2. The survey was given to 180 female students.

Acconding with the table, the proportion of female students with Math as favorite subject is 0.45. The quantity of female students with Math as favorite subject would be:

0.45(180)=81 female students


Then the total of students in the survey said that math was their favorite subject would be:

42 male students + 81 female students = 123 students  


hichkok12 [17]2 years ago
3 0

Answer:

D. 123

Step-by-step explanation:

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Area of smaller circle = \pi *r^2=3.14(3^2)=28.26

Probability that it lands in the shaded area (smaller circle):

28.26 ÷ 379.94 = 0.07438... = 0.07 (nearest hundredth)

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HELP <br><br>Determine whether the relation is a function<br><br> y=2w=2​
nexus9112 [7]

Answer:

Hi there!

I might be able to help you!

It is NOT a function.

<u>Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function</u>. <u>X = y2 would be a sideways parabola and therefore not a function.</u> Good test for function: Vertical Line test. If a vertical line passes through two points on the graph of a relation, it is <em>not </em>a function. A relation which is not a function. The x-intercept of a function is calculated by substituting the value of f(x) as zero. Similarly, the y-intercept of a function is calculated by substituting the value of x as zero. The slope of a linear function is calculated by rearranging the equation to its general form, f(x) = mx + c; where m is the slope.

A relation that is not a function

As we can see duplication in X-values with different y-values, then this relation is not a function.

A relation that is a function

As every value of X is different and is associated with only one value of y, this relation is a function.

Step-by-step explanation:

It's up there!

God bless you!

3 0
3 years ago
A painter starts with a blank 24-inch by 12-inch piece of rice paper. The painter wants to leave a uniform border x inches wide
ddd [48]

Answer:

a. A = x² - 36x + 288

b. If x = 2; A = 220 in²

Step-by-step explanation:

<h2>a.</h2>

In this scenario, 'x' represents the width of the border. A "uniform border" means that the border has the same width all around.

The area of the paper that can be painted does not include the border. Since the border is on the original rice paper (not added to it), you subtract 'x' from each side of the rice paper.

The area of a rectangle is A = lw (Area is length times width). <u>Each length and width is reduced by 'x'.</u>

If the original rice paper's area is: 24 X 12, then,

the Area that can be painted is:

A = (24 - x) (12 - x)

A polynomial in standard form means the most expanded version of an expression, ordering the terms (numbers) from greatest to least degree. (The degree of a term is the value of its exponent).

Expand the expression. Multiply the numbers from each bracket in the order FOIL (first, outside, inside last):

A = (24 - x) (12 - x)

= 288 - 24x - 12x + x²        Collect like terms (-24x - 12x = -36x)

= 288 - 36x + x²        Rearrange ordering greatest to least exponent value

= x² - 36x + 288        Standard form polynomial

<h2>b.</h2>

The width of the margin is the same thing as the width of the border. Since 'x' is the width of the border,

x = 2

Using either the expanded or factored equation for area of that can be painted, substitute 'x' for 2.

I will use the factored form.

A = (24 - x) (12 - x)        Substitute x for 2

= (24 - 2) (12 - 2)          Solve inside each bracket first by subtracting

= (22) (10)             Multiply

= 220                 Area that can be painted

Remember to include the units: 220 in²

Therefore if the margin is 2 inches wide, then the area that can be painted in 220 square inches.

5 0
3 years ago
Can you help me with my work
ira [324]

Answer

The vertex is at point (-3, -1)

The axis of symmetry is x = -3

Explanation

We are asked to find the vertex and axis of symmetry of the equation given.

f(x) = x² + 6x + 8

The vertex of a quadratic equation is the point where the graph of the quadratic equation changes from sloping negatively to sloping positively and vice-versa.

The axis of symmetry represents the straight line that divides the graph of the quadratic equation into two mirror parts that are similar to and are mirror images of each other. This axis of symmetry usually passes through the vertex.

To find the vertex, it is usually at the turning point where the first derivative of the quadratic equation is equal to 0.

(df/dx) = 0

f(x) = x² + 6x + 8

(df/dx) = 2x + 6

At the vertex

(df/dx) = 2x + 6 = 0

2x = -6

Divide both sides by 2

(2x/2) = (-6/2)

x = -3

We then insert this into the equation to get the corresponding f(x) value.

f(x) = x² + 6x + 8

f(-3) = (-3)² + 6(-3) + 8

= 9 - 18 + 8

= -1

Hence, the vertex is at point (-3, -1)

And since the axis of symmetry has to pass through the vertex,

The axis of symmetry is x = -3

Hope this Helps!!!

3 0
1 year ago
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