What’s true mean if mid value are 37.5 42.5 47.5 52.5 57.5 and number of students are 30,20,15,13,22 respectively

The y-intercepts of the functions are

The complete question is added at the end of this solution as an attachment

As a general rule, the y-intercept is the point in an equation or a function where x = 0

Using the above as a guide, we have the following:

For the function g(x), we have

g(x) = abˣ

Using the given points (1, -2) and the growth factor of 2, we have

g(x) = a(2)ˣ

This means that

a(2)¹ = -2

So, we have

2a = -2

a = -1

So, the equation is

g(x) = -1(2)ˣ

Set x = 0

g(0) = -1(2)⁰

g(0) = -1

So, the y-intercept of function g(x) = -1

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When a population is subjected to directional selection over time, the traits that are selected for will remain stable while the traits that are selected against will disappear.

Evolution is the study of how populations change over time. Most traits have multiple genes controlling their structure, function, appearance, and other characteristics. Single genes only very infrequently control a trait.

As a result, most traits have a tendency to be continuous in nature and to have a wide range of values. One side of these values will be picked against during directional selection, while the other side will be selected in favor of. Look at the illustration of a lemur's fur color below.

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According to the given statement the answer of angle A is  [tex]\mathrm{m} \angle A=65^{\circ}[/tex].

A parallelogram with the opposing sides perpendicular is called a quadrilateral (and therefore opposite angles equal). A parallelogram among all right angles generally known as a rectangle, whereas a quadrilateral having equal angles is known as a rhombus.

[tex]\mathrm{m} \angle F G D=35^{\circ}\\\mathrm{m} \angle DFG=180^{\circ}-69^{\circ}\\\\[linear pair of angle]\\mathrm{m} \angle DFG=111^{\circ}\\\mathrm{m} \angle F DG=180^{\circ}-(35^{\circ}+111^{\circ})\\\\mathrm{m} \angle F DG=34^{\circ}[/tex]

because DC||AB, so  

[tex]\mathrm{m} \angle BDC={m} \angle ABD=Alternate angle[/tex]

[tex]so, \mathrm{m} \angle ABD=34^{\circ}[/tex]

because the sum of interior angle of a triangle = 180

[tex]so, \mathrm{m} \angle A=180^{\circ}-(81^{\circ}+34^{\circ})\\ \mathrm{m} \angle A=65^{\circ}[/tex]

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Answer:

c=-35/4

Step-by-step explanation:

For this, we would use Vieta's theorem, which states the roots of the equation added together would equal -b/a, x₁ + x₂ = -b/a

Lets create a system with this:
x₁ - x₂ = 6 (This is given from the problem)

x₁ + x₂ = -b/a  or -1/1, plugging in the values from your equation

next, we would add these systems together

x₁ + x₂ + (x₁ - x₂) = 6 + (-1)
x₁ + x₁ = 5
2x₁ = 5

x₁ = 2.5

If we plug x₁ back in, we get:

2.5 - x₂ = 6

-x₂ = 3.5

x₂ = -3.5

Now that we have the roots, we can use Vieta's theorem again to say

x₁ * x₂ = c/a

Plugging this in, we get:

2.5 * -3.5 = c/a

Lets change things to fractions to make things easier

5/2 * -7/2 = c/a

Plugging in a, we get

-35/4 = c/1

-35 = 4c

c = -35/4

Hope this helps!

Answer:

$0.27875 or $0.28 1 cup = 2 ounces Number of cups in 1 jar = 4 ounce

Step-by-step explanation:

The equations on the graph have no solution

From the question, we have the following equations that can be used in our computation:

y = -3(x - 1)

y = -3x - 1

Also, we have:

The lines are parallel to each other.

As a general rule:

Parallel lines are lines that do not intersect and they have the same slope

Because the lines do not intersect, it means that the system do not have any solution

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