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4 years ago

Which is the best definition of a triangle?

Mathematics

2 answers:

Elena-2011 [213]4 years ago

8 0

A figure formed by 3 segments connecting 3 non-colinear points

Otrada [13]4 years ago

8 0

Answer: The best definition of a triangle is a figure formed by three segments connecting three noncollinear points (option A)

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The shampoo you like to use is on sale. But you only get the lower price if you buy 3 bottles. You want to know how much you'll

dmitriy555 [2]

Hi there,

The equation to this is going to be : c = 3r - 3s

If you want to get the lower price down you are going to have to buy 3 shampoo bottles in order to get a lower price. The cost you save is the main difference from a regular price. And the answer is c = 3r - 3s

6 0

4 years ago

Can two obtuse angles be complementary

Norma-Jean [14]

Complementary angles are angles that add up to 90 degrees.

Obtuse angles are greater than 90 degrees, so there's no way
to add two of them together and get a sum that's smaller than
either one already is.

The answer to the question is 'No'.

8 0

3 years ago

Seventy percent of all vehicles examined at a certain emissions inspection station pass the inspection. Assuming that successive

LenaWriter [7]

Answer:

(a) The probability that all the next three vehicles inspected pass the inspection is 0.343.

(b) The probability that at least 1 of the next three vehicles inspected fail is 0.657.

(d) The probability that at most 1 of the next three vehicles passes is 0.216.

(e) The probability that all 3 vehicle passes given that at least 1 vehicle passes is 0.3525.

Step-by-step explanation:

Let X = number of vehicles that pass the inspection.

The probability of the random variable X is P (X) = 0.70.

(a)

Compute the probability that all the next three vehicles inspected pass the inspection as follows:

P (All 3 vehicles pass) = [P (X)]³

$=(0.70)^{3}\\=0.343$

Thus, the probability that all the next three vehicles inspected pass the inspection is 0.343.

(b)

Compute the probability that at least 1 of the next three vehicles inspected fail as follows:

P (At least 1 of 3 fails) = 1 - P (All 3 vehicles pass)

$=1-0.343\\=0.657$

Thus, the probability that at least 1 of the next three vehicles inspected fail is 0.657.

(c)

Compute the probability that exactly 1 of the next three vehicles passes as follows:

P (Exactly one) = P (1st vehicle or 2nd vehicle or 3 vehicle)

= P (Only 1st vehicle passes) + P (Only 2nd vehicle passes)

+ P (Only 3rd vehicle passes)

$=(0.70\times0.30\times0.30) + (0.30\times0.70\times0.30)+(0.30\times0.30\times0.70)\\=0.189$

Thus, the probability that exactly 1 of the next three vehicles passes is 0.189.

(d)

Compute the probability that at most 1 of the next three vehicles passes as follows:

P (At most 1 vehicle passes) = P (Exactly 1 vehicles passes)

+ P (0 vehicles passes)

$=0.189+(0.30\times0.30\times0.30)\\=0.216$

Thus, the probability that at most 1 of the next three vehicles passes is 0.216.

(e)

Let X = all 3 vehicle passes and Y = at least 1 vehicle passes.

Compute the conditional probability that all 3 vehicle passes given that at least 1 vehicle passes as follows:

$P(X|Y)=\frac{P(X\cap Y)}{P(Y)} =\frac{P(X)}{P(Y)} =\frac{(0.70)^{3}}{[1-(0.30)^{3}]} =0.3525$

Thus, the probability that all 3 vehicle passes given that at least 1 vehicle passes is 0.3525.

7 0

3 years ago

-15-x=-22 What is the answer for this problem

Lelu [443]

Answer:

$x = 7$

Step-by-step explanation:

$-15-x=-22 \\ -15-x + 22 = 0 \\ 7 - x = 0 \\ 7 = x \\ x = 7$

5 0

3 years ago

Read 2 more answers

What are the solutions to the system of equations? y=−x^2−5x−6 x+y=−3

Dmitriy789 [7]

Answer:

The solutions are the points (-3,0) and (-1,-2)

Step-by-step explanation:

we have

$y=-x^{2} -5x-6$ -----> equation A

$x+y=-3$ -----> equation B

Solve the system of equations by graphing

The solution of the system of equations are the intersection points both graphs

The solutions are the points (-3,0) and (-1,-2)

see the attached figure

5 0

3 years ago