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emmasim [6.3K]
3 years ago
11

Which do I click for the answer?

Mathematics
1 answer:
beks73 [17]3 years ago
7 0

You Should click :

B) The row categories are "Wears Glasses" and "Do Not Wear Glasses"

C) Two teachers do not wear glasses

E) Total of 6 teachers were polled

<u>Explanation:</u>

  • In a class there are 129 students, among that 32 wear glasses, 97 don't wear glasses.
  • There are 6 teachers in those 4 wear glasses and 2 do not wear glasses.
  • Totally 135 present. In those 36 wear and 99 don't wear glasses.

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Find an equation for the line with the given properties. Express your answer using the general form or the slope-intercept form
Damm [24]

Answer:

y=-3x+4

Step-by-step explanation:

To get the equation in the slope-intercept form first, put the equation in slope-point form using the information given. The slope-point form is y-(-2)=-3(x-2). Then solve for y.

Distribute -3 to (x-2),

y-(-2)=-3x+6

Then, add -2 to both sides,

y=-3x+4

This is your final answer; the slope is -3 and the y-intercept is 4. There are also a few other ways to solve but I find this the easiest.

3 0
3 years ago
Line segment WX is the radius of circle X, and line segment ZY is the radius of circle Y. Points W, X, C, Y, and Z are all on li
Andrews [41]
Point D is the midpoint of the outer circle that we aim to find the area of

The circle has a diameter of WZ and radii of WC and CZ

We know that YZ=YD=10 cm

Let DC be x and CY be 10-x

The radius of the outer circle can be written as 8+8+x or 10+10-x which we can equate to find the value of x

8+8+x=10+10-x
16+x=20-x
2x=4
x=2

Therefore, the radius of the circle is 8+8+2=18

And hence the area of the circle is \pi (18^{2})=324\pi

4 0
3 years ago
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Use an induction proof to prove this statement:<br> For n≥1, 4^n+5 is divisible by 3.
Tpy6a [65]

Answer:

See below

Step-by-step explanation:

We shall prove that for all n\in\mathbb{N},3|(4^n+5). This tells us that 3 divides 4^n+5 with a remainder of zero.

If we let n=1, then we have 4^{1}+5=9, and evidently, 9|3.

Assume that 4^n+5 is divisible by 3 for n=k, k\in\mathbb{N}. Then, by this assumption, 3|(4^n+5)\Rightarrow4^k+5=3m,\: m\in\mathbb{Z}.

Now, let n=k+1. Then:

4^{k+1}+5=4^k\cdot4+5\\=4^k(3+1)+5\\=3\cdot4^k+4^k+5\\=3\cdot4^k+3m\\=3(4^k+m)

Since 3|(4^k+m), we may conclude, by the axiom of induction, that the property holds for all n\in\mathbb{N}.

3 0
2 years ago
The quadratic function y = -10x2 + 160x - 430 models a store's daily profit (y), in dollars, for selling T-shirts priced at x do
Paraphin [41]

Answer:

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3 years ago
Evaluate the expression when a = -6 and b = 3 A -2b
Rasek [7]

Answer:

-6- (2(3))

-6-6=-12

Answer= -12

Step-by-step explanation:

6 0
3 years ago
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