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3 years ago

The angle measures of a triangle are 2x+5 degrees 6x-5 degrees and 7x degrees. What is the value of x?

Mathematics

1 answer:

pav-90 [236]3 years ago

6 0

Answer:

x = 12

Step-by-step explanation:

We know that the total angle measure of a triangle is 180 degrees, so the sum of all the angles should be 180 degrees.

Therefore, we can add all the angles, set them equal to 180 and solve for x

2x+5 + 6x-5 + 7x = 180

We can combine all the x terms and all the numerical terms on the left side of the equation to get:

(2x+6x+7x) + (5-5) = 180

15x = 180

Then we can divide both sides by 15 to isiolate x

15x = 180

x = 180/15 = 12

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A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.93. Assume indepen

noname [10]

Answer:

There is a 99.99998% probability that at least one valve opens.

Step-by-step explanation:

For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 5, p = 0.93$

Calculate P(at least one valve opens).

This is $P(X \geq 1)$

Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:

$P(X = 0) + P(X \geq 1) = 1$

$P(X \geq 1) = 1 - P(X = 0)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.93)^{0}.(0.07)^{5} = 0.0000016807$

Finally

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000016807 = 0.9999983193$

There is a 99.99998% probability that at least one valve opens.

5 0

3 years ago

Read 2 more answers

Draw the image of △ABC under the translation (x,y)→(x,y+3)

alexira [117]

Take the co-ordinates of your triangle and add three to the Y co-ordinates and keep the X co-ordinates the same. Then, graph. The shape should have slid upwards three points.

7 0

3 years ago

A.0.5×10^4

Juliette [100K]

Answer:

sdd

Step-by-step explanation:

3 0

3 years ago

What number is 6 more than 7?

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

6 + 7 = 13

hope this helps, please mark me as brainliest!

6 0

3 years ago

Read 2 more answers

How do you factor 7+14

mote1985 [20]

You could factor a 7 out of 7 + 14 to get 7(1 + 2).

This would equal the same thing as 7 + 14, which is 21.

7 * 3 = 21.

21 can be factored like so:

1 * 21 = 21

3 * 7 = 21

5 0

4 years ago