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3 years ago

Using the side lengths determine whether the triangle is acute right or obtuse.

Mathematics

2 answers:

12345 [234]3 years ago

6 0

Answer: obtuse

Step-by-step explanation:

15+15>20

Elodia [21]3 years ago

4 0

Answer:

Right

Step-by-step explanation:

One of the angles is 90 degrees.

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A Department of Transportation survey showed that 60% of U.S. residents over 65 years of age oppose use of cell phones in flight

Shalnov [3]

Answer:

a) $P(X=12)=(25C12)(0.6)^{12} (1-0.6)^{25-12}=0.0760$

b) $P(X>17) = P(X=18) +....+P(X=25)$

And we can use the following excel code: "=1-BINOM.DIST(17;25,0.6,TRUE)"

And we got:

$P(X>17) = P(X=18) +....+P(X=25)= 0.154$

c) $P(X$

And using the following excel code we got: "=BINOM.DIST(7,25,0.6,TRUE)"

And we got:

$P(X$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

Part a

$P(X=12)=(25C12)(0.6)^{12} (1-0.6)^{25-12}=0.0760$

Part b

For this case we want this probability:

$P(X>17) = P(X=18) +....+P(X=25)$

And we can use the following excel code: "=1-BINOM.DIST(17,25,0.6,TRUE)"

And we got:

$P(X>17) = P(X=18) +....+P(X=25)= 0.154$

Part c

For this case we want this probability:

$P(X$

And using the following excel code we got: "=BINOM.DIST(7,25,0.6,TRUE)"

And we got:

$P(X$

4 0

3 years ago

Which expression is equivalent to 3^4 ⋅ 3^−9? 1/3^13 1/3^5 3^5 3^13

boyakko [2]

${3}^{4} \times {3}^{ - 9} = {3}^{4} \times (1/ {3}^{9}) = {3}^{4} \div {3}^{9} \\ {3}^{(4 - 9)} = {3}^{ - 5} = 1/( {3}^{5} )$
So the 2nd answer is correct: 1 / 3^5

3 0

3 years ago

When y is 2.6 and x is 13 what is the constant of the variation

Nat2105 [25]

K is the constant.
y = kx
2.6 = k times 13
k= 2.6/13 = 0.2

8 0

3 years ago

The points (-5, -6) and (-8, 9) fall on a particular line. What is its equation in point-slope

Lyrx [107]

Answer:

y = 1m - 1

Step-by-step explanation:

6 0

3 years ago

Round 67 to the greatest place value

Vesna [10]

I believe it is 70! Sorry if it is incorrect

5 0

3 years ago