basic trig, need help please

Answer: 31%

Step-by-step explanation:

Out of the students that receive financial aid, 1879 out of the 6101 total students are graduates.

So, the probability is [tex]\frac{1879}{6101} \approx 31\%[/tex]

The length of the entire line which is subdivided according to golden ratio is 13.09 meters.

What is Golden Ratio?

The golden ratio is a special number approximately equal to 1.618

We find the golden ratio when we divide a line into two parts so that, the whole length divided by the long part is also equal to the long part divided by the short part

Let smaller part of a line be b and long part be a

Golden ratio = a + b/a = a/b = 1.618

According to the given question:

Length of smaller part of line = 5 meters

Let the longer length of the line be x

∴ Total length of line = 5 + x

Using Golden ratio to find the entire length of line

x/5 = 1.618

x = 8.09

Calculating length of entire line = 5 + x = 5 + 8.09 = 13.09

∴ Length of entire line is 13.09 meters

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Answer:

x=0.3y

Step-by-step explanation:

( x )is new sales price

( y ) is the original price

According to the vertical angles theorem, m∠1 = 117°.

Based on the corresponding angles theorem, m∠2 = 117°.

The set of angle pairs formed that are directly opposite each other when two straight lines intersect or when two parallel lines are crossed by a transversal are said to be vertical angles, and therefore congruent to each other based on the vertical angles theorem.

When two lines are intersected by a transversal, the angles that are on the same transversal and lie in relative position or corner in the two parallel lines are said to be corresponding angles which are congruent based on the corresponding angles theorem.

Using the information given in the diagram attached below, angles 1 and 117° are vertical angles.

Therefore:

m∠1 = 117° [vertical angles theorem]

Angles 1 and 2 are corresponding angles. Therefore:

m∠2 = m∠1

Substitute

m∠2 = 117° [corresponding angles theorem]

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Answer:

(-7, -7)

Step-by-step explanation:

         y = x; x = y

9x - 2y = -49

9(y) - 2y = -49

9y - 2y = -49

7y = -49

÷7    ÷7

----------------

y = -7

y = x

-7 = x

or

9x - 2y = -49

9x - 2(-7) = -49

9x + 14 = -49

      -14     -14

-------------------

9x = -63

÷9    ÷9

---------------

x = -7

(-7, -7)

I hope this helps!

Answer:

−2 c negative 3 over 5 is located on the right of 0 and −2 is located on the left of 0 d negative 3 over 5

Step-by-step explanation:

Answer:

let the width be x

perimeter= 2(l+b)

78= 2(7 +x)

78-14= 2x

32= x

this must be the ans

Answer:

1 = 88

2 = 92

3 = 88

4 = 92

5 = 92

6 = 88

7 = 92

8 = 88

Step-by-step explanation:

10x + 2 = 14x - 50

52 = 4x

18 = x

Answer:36.1

Step-by-step explanation:

ixl

No, The scatter plot does not show a linear association

A graph is way of presenting data used by several disciplines.

There are many types of graphs and scatter plot is one of them.

scatter plot can be defined as set of dots plotted on a horizontal and vertical axis.

scatter plots can demonstrate the degree of connection, if any, between the values of observed quantities or events, they are crucial in statistics

The scatter plot does not show a straight line graph or a linear function. tracing the line shows a inverted shape of "s" which is not associated with linear functions.

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The number of races that were 10-kilometer long is 102.

An athlete ran a total of 1,500 kilometers in a race before retiring. The athlete completed 32 races that were at least 15 kilometers in length. The rest were 10-kilometer races. We need to find out the number of races that were 10-kilometer long.

Let the number of races that were 10-kilometers long be denoted by the variable "x". An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equal sign. We can write the equation as given below.

32×15 + 10x = 1,500

480 + 10x = 1,500

10x = 1,500 - 480

10x = 1,020

x = 1,020/10

x = 102

Hence, the number of races that were 10-kilometer long is 102.

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Since Point G is the centroid of right triangle ABC with hypotenuse AB=18in. Then  CG is 6 in.

The area of the square whose side is the hypotenuse (the side across from the right angle) in any right triangle equals the sum of the areas of the squares whose sides are the two legs, according to the Pythagorean theorem.

Note that from the question, A triangle's centroid, G, is located 2/3 of the way down one of its medians. We tend must determine the median C's length in order to find CG.

We require the use of Thale's Theorem to get the median length at C. According to this, a right triangle ABC can be encircled by a semicircle with the hypotenuse acting as the diameter.

Therefore, the median C is a point on the semicircle that connects to the diameter of the hypotenuse AB. Since it is connected to the center, median C is a radius. Half of its length, or 18/2, or 9 inches, makes it.

So:

CG is 2/3 down the median, which is:

9 x 2/3 = 6 inches.

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Answer:

100

Step-by-step explanation:

2000*5 = 10000/100 = 100

Answer:

 D    is the answer I thinnk

Step-by-step explanation:

The equation of a line parallel to 6x + y = -8 that passes through the point (7, 7) is y = -6x + 49

The equation of the parallel line is given

6x + y = -8

y = -8 -6x

y = -6x - 8

The slope intercept form is

y = mx + b

Where m is the slope of the line

b is the y intercept

Comparing the equation

Slope of the line m = -6

The slope of the all the parallel lines will be equal

Then line is passing through the point (7, 7)

The point slope form is

[tex]y-y_1=m(x-x_1)[/tex]

Substitute the values in the equation

y-7 = -6(x-7)

y - 7 = -6x + 42

y = -6x +42 +7

y = -6x + 49

Hence, the equation of a line parallel to 6x + y = -8 that passes through the point (7, 7) is y = -6x + 49

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Step-by-step explanation:

70.31

hope it's helpful

Answer:

Step-by-step explanation:

no

The number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is y = 12 - 1.25x.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, Tara bought 12 yards of fabric to make tote bags and each bag requires 1.25 yards of fabric.

The equation that describes the number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is

y = 12 - 1.25x.

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The sentence which represents the equation [tex]8\frac{3}{4} = 17-x[/tex] is  First Option (i.e.  [tex]8\frac{3}{4}[/tex] is the same as the 17 decreased by a number).

What is a number sentence?

A mathematical statement made up of numbers and symbols is called a number sentence. The sentences illustrate many mathematical operations, including addition, subtraction, multiplication, and division.

Given, [tex]8\frac{3}{4} = 17-x[/tex]

where, [tex]x[/tex] is a number and ([tex]17-x[/tex]) represents [tex]17[/tex] is decreased by a number [tex]x[/tex]

And, [tex]8\frac{3}{4}[/tex]  will be equal to the [tex]17[/tex] is decreased by a number [tex]x[/tex].

Therefore, the required answer choice will be the first option i.e. [tex]8\frac{3}{4}[/tex] is the same as [tex]17[/tex] decreased by a number.

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The quadratic regression model of the data is 0.007x² + 0.168x + 56.63 and the  the test score of a student who studies for 60 minutes is 94.114

Quadratic regression model:

Quadratic regression refers the process of determining the equation of a parabola that best fits a set of data.

The set of data is a given set of graph points that make up the shape of a parabola.

The general equation of the parabola is y = ax² + bx + c, where a can never equal zero.

Given,

Here we have the following data represents the amount of time Algebra II students at NVLA prepare for their math exams.

Now, we need to find the the quadratic regression model of the data and then, predict the test score of a student who studies for 60 minutes. Show your work.​

When we plot these value of the graphing calculator, then we get the following graph.

Through the graph we have identified that the value of

a = 0.007

b = 0.168

c = 56.63.

Therefore, the quadratic regression model of the data is 0.007x² + 0.168x + 56.63

And through the graph we have identified that  test score of a student who studies for 60 minutes is approximately 94.114.

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The probability that exactly four of the selected bulbs from the pack of 10 bulbs is defective is 1/120.

For the given question;

Thus, the probability that exactly four of the selected is defective.

P = ⁴C₄  / ¹⁰C₃

P = 1/120

Thus, the probability that exactly four of the selected is defective is 1/120.

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Answer:

B

Step-by-step explanation:

Use the slope-intercept form to find the slope and y-intercept.

Slope: 5

y-intercept: (0,-10)

Answer:

Step-by-step explanation:

The slope is 5

A rectangle that maximize the enclosed area has a length 800 yards and width is 800 yards. The maximum area is 640,000 square yards.

In the given question we have to find the maximum area of the rectangular area.

Liana has 3200 yards of fencing to enclose a rectangle.

So we know that the perimeter of rectangle is

P= 2(l+b)

Let length of the rectangle is x yards and width is y yards.

So the equation should be

2(x+y) = 3200

Divide by 2 on both side we get

x+y = 1600................(1)

As we know the area of rectangle is

A = xy

From the equation the value of y is 1600-x.

Now putting the value of y

A = x(1600-x)

A = 1600x-x^2

On differentiating

dA/dx = 1600-2x

Putting dA/dx=0

1600-2x=0

Subtract 1600 on both side we get

-2x= -1600

Divide by -2 on both side we get

x = 800 yards

Now putting the value of x in the y=1600-x

y=1600-800

y=800 yards

So the maximum area is

A= 800*800

A= 640,000 square yards

Hence, a rectangle that maximize the enclosed area has a length 800 yards and width is 800 yards. The maximum area is 640,000 square yards.

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The principal square root of √64 is 8, √100 is 10,√169 is 13, √196 is 14 and √256 is 16.

According to the question,

We have the following information:

1. √64

2. √100

3. √169

4. √196

5. √256

Now, in order to find the principal square root of these numbers, we will express these numbers in the form of the product of numbers then we will find the square root.

1) [tex]\sqrt{64}[/tex]

We have the following expression:

[tex]\sqrt{2*2*2*2*2*2}[/tex]

2*2*2

8

2) [tex]\sqrt{100}[/tex]

[tex]\sqrt{2*2*5*5}[/tex]

2*5

10

3) [tex]\sqrt{169}[/tex]

[tex]\sqrt{13*13}[/tex]

13

4) [tex]\sqrt{196}[/tex]

[tex]\sqrt{2*2*7*7}[/tex]

2*7

14

5) [tex]\sqrt{256}[/tex]

[tex]\sqrt{2*2*8*8}[/tex]

2*8

16

Hence, the principal square root of √64 is 8, √100 is 10,√169 is 13, √196 is 14 and √256 is 16.

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The following measure's values are based on the number of peas provided.

Peas in a Pod mode is not possible.

Peas in a pod's median number is equal to 6

the average number of peas in a pod is 6

What is the number?

The definition of a number is "the count of the specified quantity."

utilized formula

Mean = sum of number of observation / toatal number present there

The answer to the query is

Considering counts of peas,

How many peas are in a pod = 4,5,6,7,8

Quantity of pods = 2,10,18,6,14

The number that represents the highest frequency is called the mode.

All of the numbers in the list have a frequency of one.

For the provided data, mode is not feasible.

If all the numbers are odd, the middle value, after placing them in ascending or descending order, is the median.

The supplied numbers' median is.

To obtain the mean value, replace the values in the formula.

Mean = 4+5+6+7+8/5 = 30/5 = 6

Consequently, the following measure's values are as follows based on the number of peas given:

Peas in a Pod mode is not possible.

Peas in a pod's median number is equal to 6

the average number of peas in a pod is 6

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Answer:

105

Step-by-step explanation:

Answer:

All answers other than {7, 11, 15, 19}

Step-by-step explanation:

If we have a Set A, it is a subset of Set B if every element in A is also in B. Set A is a proper subset of Set B if it is a subset of Set B but not equal to Set B.

Using the above information, we know that the proper subset of {7, 11, 15, 19} cannot be itself, so we can rule out the second option.

All of the other options are sets where every element of that set is also an element of {7, 11, 15, 19}. The 3rd option is an empty set, which is a proper subset of any set other than itself, so it is a proper subset of {7, 11, 15, 19}.

Therefore, all of the options except for {7, 11, 15, 19} are valid.

The probability that the component requires both painting and galvanizing is 0.06.

Considering the values provided in the question,

P(Painted) = 0.20

P(Galvanized) = 0.30

Both the events are independent of each other.

The probability of the part needs both painted and galvanized is

= P(Painted and Galvanized)

= P(Painted) × P(Galvanized)

= 0.20 × 0.30

= 0.06

Therefore, The probability of the part needs both painted and galvanized is 0.06.

The possibility of an event happening is determined by probability. We may need to forecast an event's result in a variety of real-world circumstances. The outcomes of an event may be certain or uncertain to us. In these circumstances, we say if there is a chance the event will happen or not.

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Answer:

The Answer is B

Step-by-step explanation:

Since 1.8 times 10 is bigger than 18% meaning its the only one that would be in correct descending order.

Answer:

Pretty sure it’s A

Step-by-step explanation:

18% is 18/100 which is then .18

1/8 is .125

1.8x10 is 18

And .188 is just .188