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3 years ago

What is the answer to -4 + 7 = ___

Mathematics

1 answer:

12345 [234]3 years ago

3 0

Answer: 3

Step-by-step explanation:

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An airline has 82% of its flights depart on schedule. It has 65% of its flight depart and arrive on schedule. Find the probabili

victus00 [196]

Answer:

0.79

Step-by-step explanation:

Here,

Let X be the event that the flights depart on time

Let Y be the event that flights arrive on time

So,

X∩Y will denote the event that the flights departing on time also arrive on time.

Let P be the probability

P(X∩Y)=0.65

And

P(X)=0.82

We have to find P((Y│X)

We know that

P((Y│X)=P(X∩Y)/P(X) )

=0.65/0.82

=0.79

So the probability that a flight that departs on schedule also arrives on schedule is: 0.79

7 0

2 years ago

What is the cosine of angle F A. 4/5 B. 3/4 C. 5/4 D. 3/5

saveliy_v [14]

Answer: option D

Step-by-step explanation:

Remember the cosine identity:

$cos\alpha=\frac{adjacent}{hypotenuse}$

Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:

$adjacent=15\\hypotenuse=25$

Now you can substitute values into $cos\alpha=\frac{adjacent}{hypotenuse}$ and then reduce the fraction.

THerefore you get: $cos(F)=\frac{15}{25}\\\\cos(F)=\frac{3}{5}$

6 0

2 years ago

Read 2 more answers

Which statement shows how two polynomials 4x2 and x2 + 3x + 7 demonstrate the closure property when multiplied?

son4ous [18]

By definition we have to:
A set has under an operation if performance of that operation on set members always produces a member of the same set; in this case we also say that the set is closed under the operation.
For this case we have the following polynomials:
$4x ^ 2

x ^ 2 + 3x + 7$
Multiplying we have:
$(4x ^ 2) (x ^ 2 + 3x + 7) = 4x ^ 4 + 12x ^ 3 + 28x ^ 2
$
The product of two polynomials is also a polynomial.
Answer:
d $4x ^ 4 + 12x ^ 3 + 28x ^ 2$ is a polynomial

4 0

2 years ago

Given z=4+3i evaluate z

DerKrebs [107]

Answer:

Step-by-step explanation:

Assuming we want to evaluate |z|, given that, z=4+3i.

Then, by definition of modulus,

$|x + yi| = \sqrt{ {x}^{2} + {y}^{2} }$