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Andre45 [30]
3 years ago
11

Find the sum. √6+1=?

Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
5 0
The answer of this question is 7

natali 33 [55]3 years ago
3 0

Answer:

3

Step-by-step explanation:

√6 = 2.449489742784178

2.449489742784178 = 2.00 (rounded)

2+1=3

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Plz help me the question is: Which expression is equivalent to 9a + 12?
Elanso [62]
The answer would be C, 3(3a+4) because 3 times 3a is 9a and 3 times 4 is 12
, equalling 9a+12.
7 0
3 years ago
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Solve 3x - 9x + 7 - 3 = -8.<br><br> 6<br> -6<br> 2<br> -2
ZanzabumX [31]

Answer:

x=2

Step-by-step explanation:

3x - 9x + 7 - 3 = -8

Combine like terms

-6x +4 = -8

Subtract 4 from each side

-6x +4-4 = -8-4

-6x = -12

Divide each side by -6

-6x/-6 = -12/-6

x = 2

3 0
3 years ago
The automatic opening device of a military cargo parachute has been designed to open when the parachute is 185 m above the groun
agasfer [191]

Answer:

0.0193 = 1.93% probability that there is equipment damage to the payload of at least one of five independently dropped parachutes.

Step-by-step explanation:

For each parachute, there are only two possible outcomes. Either there is damage, or there is not. The probability of there being damage on a parachute is independent of any other parachute, which means that the binomial probability distribution is used to solve this question.

To find the probability of damage on a parachute, the normal distribution is used.

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 combinations 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.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Probability of a parachute having damage.

The opening altitude actually has a normal distribution with mean value 185 and standard deviation 32 m, which means that \mu = 185, \sigma = 32

Equipment damage will occur if the parachute opens at an altitude of less than 100 m, which means that the probability of damage is the p-value of  Z when X = 100. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{100 - 185}{32}

Z = -2.66

Z = -2.66 has a p-value of 0.0039.

What is the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes?

0.0039 probability of a parachute having damage, which means that p = 0.0039

5 parachutes, which means that n = 5

This probability is:

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

In which

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

P(X = 0) = C_{5,0}.(0.0039)^{0}.(0.9961)^{5} = 0.9807

Then

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.9807 = 0.0193

0.0193 = 1.93% probability that there is equipment damage to the payload of at least one of five independently dropped parachutes.

5 0
3 years ago
Maria has already written Two-fifths of her 1,000-word essay. If she continues writing at the same pace of 6 1/2 words per minut
ella [17]

Answer:

I say A. 1,000 times 2/5 times 13'2

Step-by-step explanation:

4 0
2 years ago
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A plane can fly 11 miles per minute. The plane will fly 6 trips, and each trip is 500 miles. How many hours will have the plane
valentinak56 [21]
Just saying thats a hella slow plane

and if you divide 500miles and 11miles you should get 45.45 which should be how many hours it is
8 0
3 years ago
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