The ratio of boys to girls in the sixth grade is 2:3, if there are 75 students, how many more girls are there than boys?

Answer:

k = +- 2sqrt(J)

Step-by-step explanation:

This is the correct answer, I just took the test and this is right!

To find the rate of change of the interval (3,10) for the given function, you need to calculate the difference in the function values at those two time points and divide it by the difference in time. The rate of change of the interval (3,10) is: ((900(1 + 0.4^10)) - (900(1 + 0.4^3))) / (10 - 3)

The given function f(t) = 900(1 + 0.4^t) models an investment of $900 at a rate of 4% over time, where t represents time in years. To find the rate of change of the interval (3,10), you need to find the difference in the function values at those two time points and divide it by the difference in time.

So, the rate of change of the interval (3,10) is:

((900(1 + 0.4^10)) - (900(1 + 0.4^3))) / (10 - 3)

"The value of [tex]\angle1 +\angle3[/tex] lies between [tex]90^{\circ} < \angle1+\angle3< 180^{\circ}[/tex].

[tex]\angle 1,\angle2, \angle3[/tex] have the following relationships.

We have to find the sum of measure of [tex]\angle1[/tex] and the measure of [tex]\angle3[/tex].

We know that the angle sum property of triangle states that the sum of all angles of a triangle is equal to [tex]180 ^{\circ}[/tex].

[tex]\angle 1+\angle 2+\angle3= 180^ {\circ}[/tex]

[tex]\angle1+\angle3= 180-\angle2[/tex]

So, the value [tex]\angle1 and \angle3[/tex] is always greater than [tex]90{^\circ}[/tex] because [tex]\angle 3[/tex] is the obtuse angle and it is being added to [tex]\angle1[/tex],

so it is always greater than right angle and less than [tex]180^{\circ}[/tex].

Hence the value of [tex]\angle1 +\angle3[/tex] lies between [tex]90^{\circ} < \angle1+\angle3< 180^{\circ}[/tex].

For more details on angle sum property follow the link:

https://brainly.com/question/4316040

The number 16 is 4/5 fractional part of 20.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Let the fraction part of 16 = x

So, We can formulate;

⇒ 16 = x × 20

⇒ x = 16 / 20

⇒ x = 4/5

Thus, The number 16 is 4/5 fractional part of 20.

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ2

Answer:A and D

Step-by-step explanation:

General Idea:

We need to apply the below formula to find the trend line from the given x and y values.

[tex] (1)\; mean:\; \bar{x}\;=\;\frac{\sum x_i}{n}, \; \;\bar{y}\;=\;\frac{\sum y_i}{n}\\ \\ (2) \;trend\; line: \; y=A+Bx, \;B=\frac{S_{xy}}{S_{xx}}, \;\;A=\bar{y}-B\bar{x}\\ \\ Where:\\ \\ S_{xx}=\frac{\sum x_i^2}{n}-\bar{x}^2\\ \\S_{xy}=\frac{\sum x_iy_i}{n}-\bar{x} \cdot \bar{y} [/tex]

Applying the concept:

In the graph given the trend line passes through two points (1, 8) and (7, 1).

We need to make use of the two point formula to find the equation of trend line

[tex] m=\frac{y_2-y_1}{x_2-x_1} [/tex]

Substituting the points (1, 8) and (7, 1) in the above formula to find slope we get...

[tex] m = \frac{1-8}{7-1}=\frac{-7}{6} [/tex]

The point slope form of an equation which is used to write the equation of line when we know a point and slope is given below:

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

Substituting the values in the above formula we get ...

[tex] y-8=\frac{-7}{6}(x-1)\\Distributing \; -7/6\; in\; the\; right\; side\; of\; the\; equation \\ \\ y-8=\frac{-7}{6}x+\frac{7}{6}\\ Adding\; 8\; on\; both\; sides\\ \\ y-8+8=\frac{-7}{6} x+\frac{7}{6} +8\\ Combining \; like \; terms\\ \\ y=\frac{-7}{6}x+\frac{7}{6}+\frac{8 \cdot 6}{1 \cdot 6}\\ \\ y=\frac{-7}{6}x+\frac{7}{6}+\frac{48}{6}\\ \\ y=\frac{-7}{6} x+\frac{55}{6} [/tex]

Conclusion:

The equation best represents a trend line for the scatter plot is Option B.

B. y=−7/6x+55/6

The correct answer is 2000 mm.

To convert the length of the gold wire from meters to millimeters, one must know the conversion factor between these two units. There are 1000 millimeters in 1 meter. Therefore, to convert 2 meters to millimeters, one multiplies the length in meters by 1000.

Calculation:

2 meters * 1000 millimeters/meter = 2000 millimeters

Thus, the length of the gold wire in millimeters is 2000 mm.

Answer:

7(8x+5) ≠48x+35 when x = 2.

That is; the two expressions are not equivalent when x = 2

Step-by-step explanation:

To solve this, we need to follow the steps below

We will substitute x = 2 in the first  expression and simplify, then we will now substitute x =2 in the other expression and simplify, at the end of the simplification, we will compare the two expression to see if they are equal.

First lets open up the bracket, that is; 7(8x + 5)=56x + 35

Now substitute x = 2 in 56x + 35

56 x + 35 = 56(2) + 35 = 112 + 35 = 147

56 x + 35 = 147   when x = 2

Next is to substitute x = 2 in 48x + 35

48(2) + 35 =96 + 35 =131

The value of 48x + 35 = 131   when x =2

147 ≠ 131

Therefore the two expressions are not equivalent when x = 2

Answer:

1/2

50%

Step-by-step explanation:

It is 20%. Is that helpful at all?

Answer:

Step-by-step explanation:

Volume = πr2h/3

radius of the cone is 11 inches

height of the cone is 4.5 inches

V= (3.14 *(121)*4.5)/3= 569.91 inches3