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4 years ago

8

Of the 200 students who participated in a survey, 105 like pizza, 75 like tacos and 42 like both. If a random student is asked w

hat they prefer, what is the probability that they like either pizza OR tacos?
(A) 1.11
(B) 0.9
(C) 0.21
(D) 0.69

1 answer:

Gnom [1K]4 years ago

7 0

The answer is B) 0.9

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Sinθ+cotθ×cosθ=cscθ

Assoli18 [71]

Answer:

Step-by-step explanation:

$\sin \theta+\cot \theta\cos \theta=\sin \theta+\displaystyle \frac{\cos \theta}{\sin \theta}\cos \theta=\frac{\sin^2 \theta+\cos ^2 \theta}{\sin \theta}=\\\frac{1}{\sin \theta}=\csc \theta$

5 0

3 years ago

Kai wrote the number 85 on the board. Is 85 prime or composite? Explain.

yanalaym [24]

Composite because it can go into 2 and other numbers

4 0

3 years ago

Definitions of ASA SAS AAS, can someone dumb it down plz?

Veseljchak [2.6K]

Answer:

Hope this helps.

Step-by-step explanation:

So for ASA, the two triangles have to have two angles congruent, and in the middle of those angles, they have to have a line that's congruent.

For SAS, the two triangles have to have two lines congruent, and in the middle of those lines, they have to have an angle that's congruent.

For AAS, the two triangles have to have two angles congruent, but the line that's congruent has to be on the side, not in the middle.

7 0

3 years ago

If f(x) = x-1/3 and g(x)= 3x+1, what is (f o g)(x)?

N76 [4]

Answer:

$(f o g)(x) = 3x + \frac{2}{3}$

Step-by-step explanation:

We have the function $f(x) = x-\frac{1}{3}$ and we have the function $g(x) = 3x + 1$ . We want to find g(x) composed with f(x)

Then, the function (f o g)(x) is the same since f(g(x))

That is, you must do x = g(x) and then enter g(x) into the function f(x).

$f(g(x)) = (g(x)) -\frac{1}{3}$

$f(g(x)) = (3x + 1) -\frac{1}{3}$

Simplifying, we obtain:

$(f o g)(x) = 3x + 1 -\frac{1}{3}\\\\(f o g)(x) = 3x + \frac{2}{3}$

Finally. The composite function is:

$(f o g)(x) = 3x + \frac{2}{3}$

6 0

3 years ago

Please help i don’t understand this

swat32

Similar polygons only differ by a scaling factor. In other words, two polygons are similar if one is the scaled version of the other.

In particular, this implies that the angles are preserved, and the correspondent sides are in proportion.

These two polygons are both rectangles, so the angles are preserved. We must check the sides, and we have to check if the smaller sides are in the same proportion as the bigger sides.

So, the two rectangles are similar if the following is true.

$4\div 5 = 11\div 12$

In any proportion, the product of the inner terms must be the same as the product of the outer terms:

$4\cdot 12 = 5\cdot 11 \iff 48=55$

This is clearly false, and thus the two rectangles are not similar.

5 0

3 years ago